when a child turns 18 years old the money in the account will be a birthday gift. The grandfather's choosing in between two options. option one and account that grows by 10.5% each year or option two and account that grows by $20 each year. which option will result in a better 18th birthday gift explain your reasoning.​

Answers

Answer 1

10.5% is better because 20 dollers is good but it not gonna increase like 10.5%


Related Questions

point $p$ lies inside square $abcd$ such that triangle $abp$ is equilateral. find $\angle pcd$ in degrees.

Answers

The measurement of angle PCD in equilateral triangle  is 67.38°.

Let $s$ be the side length of the square $abcd$, and let $O$ be the center of the square. Then $OP = s/\sqrt{2}$.

Since triangle $ABP$ is equilateral, we have $\angle ABP = 60^\circ$ and $AP=BP=s$. Let $E$ be the foot of the perpendicular from $P$ to $AB$. Then $AE=BE=s/2$ and $EP=s\sqrt{3}/2$.

Since $EP$ is perpendicular to $AB$ and $AB$ is parallel to $CD$, we have $\angle PCD = \angle ACE$.

Since $OP$ is perpendicular to $AB$, we have $\angle OEP = \angle AEP = 30^\circ$. Also, $OE=OP/\sqrt{2}=s/2$.

Using the Pythagorean theorem in triangle $OCE$, we have

CE= [tex]\sqrt{(OE)^{2} + (OC)^{2}} = \sqrt{(s/2)^{2} + s^{2}} = s\sqrt{5}/2[/tex]

Therefore, $\sin \angle ACE = CE/CP = \sqrt{5}/2$. Thus,

∠PCD = ∠ACE = arcsin(√5/2) ≈ 67.38°

To know more about equilateral triangle:

https://brainly.com/question/3461022

#SPJ4

construct shear and bending diagrams for the following beams. show your equations used to create the plots. p p p p l/2 l/4 l/4 p p p l/3 l/3 l/3

Answers

The shear force and bending moment diagrams for the given beam will have multiple segments of different shapes and slopes, reflecting the variation of loads along the length of the beam.

To construct the shear and bending diagrams for the given beam, we need to analyze the beam for the different sections where the load is applied. We can break down the beam into five sections:

Leftmost section (0 ≤ x ≤ L/4)

Second section (L/4 < x ≤ L/2)

Third section (L/2 < x ≤ 5L/12)

Fourth section (5L/12 < x ≤ 7L/12)

Rightmost section (7L/12 < x ≤ L)

We can use the equations for shear and bending moments to create the plots:

For section 1: 0 ≤ x ≤ L/4

The shear force diagram will be constant since there is no load applied in this section. The bending moment diagram will be a sloping line, which will be zero at x = 0 and will increase linearly with x as we move toward the right end of the section.

For section 2: L/4 < x ≤ L/2

The shear force diagram will start from the value of P at x = L/4 and remain constant up to x = L/2. The bending moment diagram will be a parabolic curve, which will be zero at x = L/4 and L/2 and will reach a maximum value at the midpoint of the section.

For section 3: L/2 < x ≤ 5L/12

The shear force diagram will start from the value of P at x = L/4 and remain constant up to x = L/2. At x = 5L/12, a load of P/3 is added, causing the shear force to increase suddenly. The bending moment diagram will be a cubic curve, which will be zero at x = L/4 and L/2, and will have a local minimum at x = 5L/12.

For section 4: 5L/12 < x ≤ 7L/12

The shear force diagram will start from the value of P + P/3 at x = 5L/12 and remain constant up to x = 7L/12. The bending moment diagram will be a cubic curve, which will be zero at x = L/4 and L/2, and will have a local maximum at x = 7L/12.

For section 5: 7L/12 < x ≤ L

The shear force diagram will start from the value of P + P/3 at x = 5L/12 and remain constant up to x = 7L/12. At x = L/3, a load of P/3 is added, causing the shear force to decrease suddenly. The bending moment diagram will be a parabolic curve, which will be zero at x = L/4 and L/2 and will reach a minimum value at the midpoint of the section.

Find out more about the shear force

brainly.com/question/29664085

#SPJ4

6x³+4xy²+3y³+13xy+8÷x+2 Divide polynomials

Answers

The quοtient is [tex]6x^2 - 8xy + 17y^2 - 34y + 70[/tex], and the remainder is [tex]8y^3 - 40.[/tex]

What is polynomial?

A polynomial is a mathematical expression made up of variables (like x, y, and z) and coefficients (constants multiplied by the variables), as well as addition, subtraction, and multiplication operators. The variables and coefficients are raised to n-negative integer powers, also known as degrees.

We can use long division to divide fractions. Divide 6x³ + 4xy² + 3y³ + 13xy + 8 by x + 2 as shown:

        [tex]6x^2 - 8xy + 17y^2 - 34y + 70[/tex]

  -------------------------------------

[tex]x + 2 | 6x^3 + 4xy^2 + 3y^3 + 13xy + 8[/tex]

       [tex]- 6x^3 - 12x^2[/tex]

       ---------------

           [tex]12x^2 + 4xy^2[/tex]

            [tex]- 12x^2 - 24x[/tex]

            --------------

                    [tex]4xy^2 + 24x[/tex]

                    [tex]- 4xy^2 - 8y^3[/tex]

                    --------------

                              [tex]24x - 8y^3 + 8[/tex]

                              [tex]- 24x - 48[/tex]

                              ------------

                                       [tex]8y^3 - 40[/tex]

Therefοre, the quοtient is [tex]6x^2 - 8xy + 17y^2 - 34y + 70[/tex], and the remainder is [tex]8y^3 - 40[/tex].

Thus, we can express the οriginal pοlynοmial as:

[tex]6x^3+4xy^2+3y^3+13xy+8[/tex]

[tex]= (x + 2)(6x^2 - 8xy + 17y^2 - 34y + 70) + (8y^3 - 40) \div (x + 2)[/tex]

Tο learn more about polynomial from the given link:

https://brainly.com/question/11536910

#SPJ1

the graph shows the preimage shaded in grey and the image outlined in black. what is the scale factor of the dilation?

Answers

The scale factor of dilation of the shaded in gray to the shaded in black is 3

Calculating the scale factor dilation

Given that

The preimage = shaded in gray

The image = shaded in black

From the graph, we have the following values on the image and the preimage

The preimage = shaded in gray = 4

The image = shaded in black = 12

The scale factor of dilation is then calculated as

Scale factor = shaded in black/shaded in gray

So, we have

Scale factor = 12/4

Evaluate

Scale factor = 3

Hence, the scale factor dilation is 3

Read more about scale factor at

https://brainly.com/question/29229124

#SPJ1

Census data for a certain county shows that 19% of the adult residents are Hispanic. Suppose 92 people are called to jury duty and only 11 of them are Hispanic. Does this apparent underrepresentation of Hispanics call into question the fairness of the jury selection process? Again run a test using the PHANTOMS method to complete all parts of your problem.

Answers

Yes, the apparent under representation of Hispanics on the jury duty calls into question the fairness of the jury selection system, as the results of the hypothesis test suggest that the system may be systematically excluding Hispanics.

To determine whether the apparent underrepresentation of Hispanics on the jury selection system is statistically significant and calls into question its fairness, we need to perform a hypothesis test.

First, we set up the null hypothesis, which is the assumption that there is no difference between the proportion of Hispanics in the county population and the proportion of Hispanics in the jury pool. That is, the proportion of Hispanics in the jury pool is expected to be equal to 19%.

The alternative hypothesis is that there is a difference between the proportion of Hispanics in the county population and the proportion of Hispanics in the jury pool.

We can use a one-tailed z-test to test the null hypothesis, where the test statistic is calculated as:

z = (p - P) / sqrt(P(1-P)/n)

where p is the proportion of Hispanics in the jury pool, P is the proportion of Hispanics in the county population (0.19), and n is the sample size (72).

Plugging in the values, we get

z = (9/72 - 0.19) / sqrt(0.19*(1-0.19)/72) = -2.39

Assuming a significance level of 0.05, we compare the calculated z-value with the critical z-value of -1.645 (obtained from a standard normal distribution table). Since the calculated z-value is less than the critical z-value, we reject the null hypothesis and conclude that the proportion of Hispanics in the jury pool is significantly different from the proportion of Hispanics in the county population.

Learn more about hypothesis test here

brainly.com/question/30588452

#SPJ4

An inlet pipe on a swimming pool can be used to fill the pool in 16
hours. The drain pipe can be used to empty the pool in 24
hours. If the pool is 13
filled and then the inlet pipe and drain pipe are opened, how long from that time will it take to fill the pool?

Answers

Answer:

Step-by-step explanation:

please help !! Given l, m, n, find the value of x.
(7x-2)° (5x+14)°

Answers

Answer:

Step-by-step explanation:

7x - 2 = 5x + 14

2x - 2 = 14

2x = 16

x = 8

The rectangle can be made to have rotation symmetry of order 2 by colouring one of the squares blue. Put a cross in the middle of the square which would have to be made blue.​

Answers

To make a rectangle with a rotation symmetry of order 2, first draw the rectangle on a piece of paper. Then draw a cross in the middle of one of the squares in the rectangle. This is the square that needs to be coloured blue in order to create the rotation symmetry. Finally, colour the square with the cross blue to create the rotation symmetry.

Solve the equation.
Cos 9= sin 56.3

Answers

According to the problem the answer is cos 9 = sin 56.3.

What is cos?

Cos is a mathematical function that returns the ratio of the side adjacent to a given angle of a right triangle to the hypotenuse of the triangle. It is one of the most commonly used trigonometric functions and is used in various mathematical calculations such as finding angles, distances, and wave lengths. Cos is often written as cosine and is typically abbreviated as "cos." It can also be written as COS or csc. Cos is typically used in conjunction with sin and tan to measure angles and distances in a triangle. Cos can also be used to calculate wave lengths in physics and to determine the magnitude of a vector in vector calculus. Cos is an important concept in mathematics and is used in many areas of science, engineering, and technology.

Use the identity sin(90°-x) = cos x:

sin 56.3 = cos (90° - 56.3)

cos 9 = cos (90° - 56.3)

To learn more about cos

https://brainly.com/question/29253810

#SPJ1

For cos 9°, angle lies between 0° and 90° (First Quadrant). Since cosine function is positive and in the first quadrant, thus cos 9° value = 0.9876883. Also Cos 9 = √(1-sin²(9°)).

What is cos?

Cos is a mathematical function that returns the ratio of the side adjacent to a given angle of a right triangle to the hypotenuse of the triangle. It is one of the most commonly used trigonometric functions and is used in various mathematical calculations such as finding angles, distances, and wave lengths. Cos is often written as cosine and is typically abbreviated as "cos." It can also be written as COS or csc.

The value of cos 9 degrees in decimal is 0.987688340, since Cos 9 degrees can also be expressed using the equivalent of the given angle (9 degrees) in radians (0.15707)

Using degree to radian conversion, θ in radians is:

= θ in degrees × (pi/180°)

⇒ 9 degrees

= 9° × (π/180°) rad

= π/20 or 0.1570

∴ cos 9° = cos(0.1570)

= 0.9876883

Since the cosine is the periodic function, we can represent cos 9° as,

So, cos 9 degrees = cos(9° + n × 360°).

⇒ cos 9°

= cos 369°

= cos 729°, and so on.

Cos 9 = √(1-sin²(9°))

To learn more about cosine function, visit

https://brainly.com/question/17954123

#SPJ1

The volume, V , of a sphere in terms of its radius, r , is given by V(r)=4/3πr^3 . Express r as a function of V , and find the radius of a sphere with volume of 100 cubic feet.
Round your answer for the radius to two decimal places.
A sphere with volume 100 cubic feet has radius ??

Answers

So the radius of the sphere is approximately 2.88 feet (rounded to two decimal places).

What is volume?

Volume is the amount of space occupied by a three-dimensional object as measured in cubic units. It is the measure of the amount of material or substance that a container, object, or shape can hold.

Here,

To express r as a function of V, we can rearrange the equation V = 4/3πr³ to solve for r:

V = 4/3πr³

V / (4/3π) = r³

r = ³√(V / (4/3π))

r = ³√(3V / 4π)

To find the radius of a sphere with volume 100 cubic feet, we can substitute V = 100 into the equation:

r = ³√(3V / 4π)

= ³√(3(100) / (4π))

≈ 2.88 units

To know more about volume,

https://brainly.com/question/12237641

#SPJ1

What is the meaning of "invertible n x n matrices"?

Answers

Answer: A matrix A of dimension n x n is called invertible if and only if there exists another matrix B of the same dimension, such that AB = BA = I, where I is the identity matrix of the same order.

Step-by-step explanation:

hope it helped! <3

Por favor, necesito ayuda con esto es de estadística. Muchas gracias

Las calificaciones de 20 alumnos que presentaron exámen de admisión a cierta facultad, utilizando la escala de 0 a 100, fueron:
83 64 51 46 82 91 73 82 65 61 74 64 75 81 94 65 42 81 56 61 72 65 54 39 70 93 42 46 54 72
•Elaborar: diagrama de tallo y hoja
•Calcular: coeficiente de variación
•Realizar un diagrama de caja
•Percentil 85, decil 2

Answers

Therefore, the coefficient of variation for the given data is approximately 24.71%.

What is box plot?

A box plot, also known as a box-and-whisker plot, is a graphical representation of a data set that shows the distribution of the data using quartiles. It is a standardized way of displaying the distribution of data based on the five-number summary: minimum, first quartile, median, third quartile, and maximum. The box represents the middle 50% of the data, with the median marked by a line inside the box. The whiskers extend from the box to the minimum and maximum values, or to a certain range if there are outliers. Box plots are useful for comparing the distributions of different data sets and identifying potential outliers.

Here,

1. Stem-and-Leaf Plot:

A stem-and-leaf plot is a way to display data that separates the tens digit of each number from the ones digit. Here is the stem-and-leaf plot for the given data:

3 | 9 9

4 | 2 2 6 6

5 | 1 4 4 6

6 | 1 4 5 5 5 5 5 5

7 | 0 2 3 4

8 | 1 2 2 3 5

9 | 3 4

In this plot, the stem represents the tens digit and the leaves represent the ones digit.

2. Coefficient of Variation:

The coefficient of variation is a measure of the relative variability of a data set. It is calculated as the ratio of the standard deviation to the mean, expressed as a percentage. Here is how to calculate the coefficient of variation for the given data:

Calculate the mean of the data:

 Mean = (83+64+51+46+82+91+73+82+65+61+74+64+75+81+94+65+42+81+56+61+72+65+54+39+70+93+42+46+54+72)/20 = 68.25

Calculate the standard deviation of the data:

 Standard deviation = sqrt((1/20) * ((83-68.25)^2 + (64-68.25)^2 + ... + (72-68.25)^2))

Standard deviation ≈ 16.88

Calculate the coefficient of variation:

Coefficient of variation = (Standard deviation / Mean) * 100

Coefficient of variation ≈ 24.71%

3. Box Plot:

A box plot is a way to visualize the distribution of data. It displays the minimum value, first quartile (Q1), median, third quartile (Q3), and maximum value of the data. Here is the box plot for the given data:

  |              +----------+

94 |                        |

  |              +----------+

93 |              |

  |        +-----+-----+

82 |        |           |

  |        |           |

81 |        |           |

  |  +-----+           |

80 |  |                 |

  |  |                 |

79 |  |                 |

  |  |                 |

78 |  |                 |

  |  |                 |

77 |  |                 |

  |  |                 |

76 |  |                 |

  |  |                 |

75 |  |                 |

  |  |                 |

74 |  |                 |

  |  |                 |

73 |  |                 |

  |  |                 |

72 |  +-----------------+

  |                    

  +--+--+--+--+--+--+--+--+--+--+--+--+--+--+--+--+--+--+--+--+--+--+

     1  2  3  4  5  6  7  8  9  10 11 12 13 14 15 16 17 18 19 20

In this plot, the horizontal line inside the box represents the median, the bottom and top edges of the box represent the first and third quartiles (Q1 and Q3), respectively, and the vertical lines extending from the box represent the minimum and maximum values, excluding outliers.

4. To find the 85th percentile, we need to arrange the data in order from smallest to largest:

39, 42, 42, 46, 46, 51, 54, 56, 61, 61, 64, 64, 65, 65, 65, 70, 72, 72, 73, 74, 75, 81, 81, 82, 82, 83, 91, 93, 94

There are a total of 20 scores, so the 85th percentile would be the score at the 0.85(20) = 17th position:

85th percentile = 72

To find the 2nd decile, we first need to calculate the number of scores in each decile. Since there are 20 scores, each decile would have 2 scores. The 2nd decile would be the score at the 0.2(20) = 4th position:

2nd decile = 46

To know more about box plot,

https://brainly.com/question/1523909

#SPJ1

Complete question:

Please, I need help with this, it's about statistics. Thank you very much. The grades of 20 students who took an admission exam to a certain faculty, using a scale of 0 to 100, were: 83 64 51 46 82 91 73 82 65 61 74 64 75 81 94 65 42 81 56 61 72 65 54 39 70 93 42 46 54 72

• Make: stem-and-leaf plot

• Calculate: coefficient of variation

• Create a box plot

• 85th percentile, 2nd decile.

question 1 write an inequality and a word sentence that represent the graph. let x represent the unknown number.

Answers

The inequality is X > 0 and a word sentence represent the graph is  X  the graph of a number line with an open circle on zero and an arrow pointing to the right.

The inequality X > 0 represents the graph of a number line with an open circle on zero to left and an arrow pointing to the right. This means that any value of X that is greater than zero is a valid solution for the inequality.

In other words, X can be any positive number, such as 1, 2, 3, and so on. However, X cannot be zero or any negative number, as those values do not satisfy the inequality. Therefore, the word sentence that represents this inequality is "X is greater than zero."

This means that X must be a positive number, and it can be any value that is greater than zero.

To know more about inequality:

https://brainly.com/question/30228778

#SPJ4

Question 19 (2 points)

According to research conducted by the Department of Education, 80% of college
students took a mathematics course as part of their general education requirements.
If ten college students are selected at random, what is the probability at least one of
the ten has not taken a mathematics course?

0.0800
0.1073
0.7927
0.8000

Answers

Rounding to four decimal places, the answer is 0.8926. So the probability that at least one of the ten college students has not taken a mathematics course is approximately 0.8926.

what is probability?

Probability is a measure of the likelihood or chance that a particular event will occur. It is usually expressed as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.

The probability that a college student has taken a mathematics course is 0.80. Therefore, the probability that a student has not taken a mathematics course is

1 - 0.80 = 0.20.

The probability that at least one of ten college students has not taken a mathematics course can be found using the complement rule. That is, the probability that at least one student has not taken a mathematics course is equal to one minus the probability that all ten students have taken a mathematics course.

The probability that all ten students have taken a mathematics course is:

0.80¹⁰ = 0.1074

Therefore, the probability that at least one student has not taken a mathematics course is:

1 - 0.1074 = 0.8926

Therefore, Rounding to four decimal places, the answer is 0.8926. So the probability that at least one of the ten college students has not taken a mathematics course is approximately 0.8926.

To learn more about from probability from the given link:

https://brainly.com/question/30034780

#SPJ1

I will mark you brainiest!

SSS is used to prove two triangles are congruent.
A) False
B) True

Answers

Answer:

A

Step-by-step explanation:

because___________________________________

Answer:

B) True

Step-by-step explanation:

SSS or Side-Side-Side is used to prove two triangles are congruent.

Solve the system of equations x + y = 8; y = x ^ 2 - 4

Answers

The solution to the system of equations is (x, y) = (-4, 12) or (3, 5).

What are systems of equations?

simultaneous equations, or system of equations Two or more equations in algebra must be solved concurrently (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a distinct solution. Even then, a solution is not assured.

According to the given information:

We can solve this system of equations by substitution or elimination. Here, we will use substitution:

Substitute y in the first equation with its expression from the second equation:

x + (x^2 - 4) = 8

Now, we have a quadratic equation in x:

x^2 + x - 12 = 0

Factor the quadratic equation:

(x + 4)(x - 3) = 0

So, either x + 4 = 0 or x - 3 = 0:

x = -4 or x = 3

Substitute each value of x into either equation to find the corresponding value of y:

If x = -4, then y = (-4)^2 - 4 = 12

If x = 3, then y = 3^2 - 4 = 5

Therefore, the solution to the system of equations is (x, y) = (-4, 12) or (3, 5).

To know more about system of equations visit:

https://brainly.com/question/21620502

#SPJ1

find all real numbers k for which there exists a nonzero 2 dimensional vector bold v such that begin bmatrix 2

Answers

Answer:

We can write the given system of equations as a matrix equation:

$\begin{bmatrix} 2 & 4 \ 4 & k \end{bmatrix} \begin{bmatrix} x \ y \end{bmatrix} = \begin{bmatrix} 0 \ 0 \end{bmatrix}$

To find nontrivial solutions (i.e., $x$ and $y$ not both equal to zero), the coefficient matrix must be singular, which means its determinant must be zero:

$\det\begin{bmatrix} 2 & 4 \ 4 & k \end{bmatrix} = 2k - 16 = 2(k - 8) = 0$

Thus, $k = 8$ is the only value for which there exists a nonzero 2-dimensional vector $\boldsymbol{v} = \begin{bmatrix} x \ y \end{bmatrix}$ satisfying the given system of equations. For $k \neq 8$, the only solution is the trivial one, $\boldsymbol{v} = \boldsymbol{0}$.


I hope this us helpful

19
The diagram shows a sector OBC of a circle with centre O and radius (6 + x) cm.
B
A
es 50°
6 cm
DX
find the value of x.
Give your answer correct to 3 significant figures.
x cm
A is the point on OB and D is the point on OC such that OA = OD = 6 cm
Angle BOC= 50°
Given that
Diagram N
accurately
the perimeter of sector OBC= 2 x the perimeter of triangle OAD

Answers

The value of the variable, x, obtained using the formula for the perimeter of a sector of a circle is; x = 6 cm

What is a sector of a circle?

A sector of a circle is the region of the circle that has two radii of the circle and the arc between the two radii as the boundary of the region.

The perimeter of a sector of a circle can be obtained using the formula;

Perimeter = 2·r + (θ/360°) × (2·π·r)

The radius of sector OAD, r = 6 cm

Therefore;

The perimeter of sector OAD = 2 × 6 + (50/360) × 2 × π × 6 = 12 + 5·π/3

The perimeter of sector OBC = 2 × The perimeter of sector OAD

Therefore;

The perimeter of sector OBC = 2 × (12 + 5·π/3) = 24 + 10·π/3

Which indicates;

The perimeter of sector OBC = 2  × (6 + x) + (50/360) × 2 × π  × (6 + x)

2  × (6 + x) + (50/360) × 2 × π  × (6 + x) = (5·π·x + 30·π + 36·x + 216)/18

24 + 10·π/3 = (5·π·x + 30·π + 36·x + 216)/18

432 + 60·π = 5·π·x + 30·π + 36·x + 216

432 - 216 + 60·π - 30·π  = x·(5·π + 36)

216 + 30·π = x·(5·π + 36)

6 × (5·π + 36 ) = x·(5·π + 36)

x·(5·π + 36) = 6 × (5·π + 36 )

x = 6 × (5·π + 36 )/(5·π + 36 ) = 6

x = 6 cm

Learn more on the sector of a circle here: https://brainly.com/question/9790386

#SPJ1

c. The expression ax² + 11x + 3 can be factorised. List the possible values of a given that a is a positive integer.​

Answers

Step-by-step explanation:

If the polynomial 3x^3+ax^2-11x+3 is exactly divisible by (x – 1), then find the value of a. Hence, factorize the polynomial. can anyone help

a relation r is called circular if arb and brc imply that cra. if r is an equivalence relation, then would r be circular?

Answers

If a relation R is an equivalence relation, then R will be circular.

If a relation R is an equivalence relation, then it must satisfy three properties: reflexivity, symmetry, and transitivity.

(i) Reflexivity: For any element "a" in the set, "aRa" must be true.

(ii) Symmetry: For any elements "a" and "b" in the set, if "aRb" then "bRa" must be true.

(iii) Transitivity: For any elements "a", "b", and "c" in the set, if aRb and bRc then "aRc" must be true.

A Circular relation is where "aRb" and "bRc" imply "cRa".

This is a stronger condition than the transitivity property of an equivalence relation, which only requires that "aRb" and "bRc" together imply "aRc".

Therefore, a relation that is an equivalence-relation have to be circular.

Learn more about Relation here

https://brainly.com/question/30881906

#SPJ4

The given question is incomplete, the complete question is

A relation R is called circular if "aRb" and "bRc" imply that "cRa". if R is an equivalence relation, then would R be circular?

Last night, Roberto spent 90 minutes doing homework, two-thirds of an hour reading, and 540 seconds making his lunch for the next day. How many more minutes did Roberto spend doing homework than he did reading and making his lunch?

Answers

The answer is 41 minutes.

explaination:

540 secs = 9 minutes

2/3 of 60 mins= 40 mins

(to find a fraction of a number you divide it by the denominator and times it after by the numerator)

9+40= 49

homework: 90 mins

reading and making lunch: 49 minutes

we want the difference so:

90-49= 41

Roberto spent 41 more minutes doing his homework than reading and making lunch.

PLS Answer help i will give 10 brainly points if you help

Answers

The two in the middle column and the one in the bottom right corner

Answer:

12×2, 3×8, 4×6

Step-by-step explanation:

To find the area of a parallelogram, the formula is A = bh.

1. Height: 6 ft

Base: 2 ft

6 × 2 = 12 ft

So it does not work.

2. Height: 12 ft

Base: 2 ft

12 × 2 = 24 ft

So it does work.

3. Height: 10 ft

Base: 14 ft

14 × 10 = 140 ft

So it does not work.

4. Height: 3 ft

Base: 4 ft

3 × 4 = 12 ft

So it does not work.

5. Height: 3 ft

Base: 8 ft

3 × 8 = 24 ft

So it does work.

6. Height: 4 ft

Base: 6 ft

4 × 6 = 24 ft

So it does work.

of the following values, which is least important to today's college students according to the yearly values survey?

Answers

The least important value to today's college students according to the yearly values survey is Political involvement. So the option B is correct.

The survey found that only 32% of college students believed that political involvement was important. This is significantly lower than the other values surveyed such as Financial Success (86%) and Community Involvement (71%). As such, it can be concluded that Political Involvement is the least important value to today's college students.

This may be due to a variety of factors, such as a lack of understanding of the political system, a lack of interest in politics, or a sense that individual political action will not make a difference.

It is important to recognize, however, that political involvement is still an important part of civic engagement and an essential part of the democratic process. As such, college students should strive to become more informed about politics and to find ways to get involved in the political process.

To learn more about Political involvement link is here

brainly.com/question/28943809

#SPJ4

The complete question is:

Which of the following values, which is least important to today's college students according to the yearly values survey?

A. Career success

B. Political involvement

C. Healthy lifestyle

D. Social media presence

The star Bellatrix is 1.4 × 1015 miles from Earth. Barnard’s star is 35,000,000,000,000 miles from Earth. Part A How far is Barnard’s star from Earth, in scientific notation? 3.5 × 1013 35 × 1013 3.5 × 1015 35 × 1015

Answers

In scientific notation the distance of the Barnard’s star from Earth, is given as 3.5 × 10^13

What is scientific notation?

Scientific notation is a way of writing very large or very small numbers in a more compact form using powers of 10. In scientific notation, a number is expressed as a product of a coefficient and 10 raised to a power. The coefficient must be greater than or equal to 1 but less than 10. The power of 10 indicates the number of places the decimal point is moved to obtain the original number.

For 35,000,000,000,000

you have to start counting the digits from the right. The decimal point would occur just before the first digit (that is the number 3)

Read more on Scientific notation here:https://brainly.com/question/5756316

#SPJ1

PLEASE HELP 30 POINTS!

Answers

Answer:

57

57

123

123

57

57

123

that's all.

Answer:

m<1 = 57°

m<2 = m<1 = 57°

m<3 = x = 123°

m<4 = x = 123°

m<5 = m<1 = 57°

m<6 = m<5 = 57°

m<7 = m<4 = 123°

Step-by-step explanation:

[tex]{ \tt{m \angle 1 + x = 180 \degree}} \\ { \colorbox{silver}{corresponding \: angles}} \\ { \tt{m \angle 1 = 180 - 123}} \\ { \tt{ \underline{ \: m \angle 1 = 57 \degree \: }}}[/tex]

HELP MY TEST IS DUE TONIGHT
find the area of the trapezoid
Show work:

Answers

Answer:

A = 32

Step-by-step explanation:

A= (a+b divided by 2) mulitiplied by height

a = 6

b = 2+6+2 = 10

h = 4

a+b = 6 + 10= 16

16 divided by 2 = 8

8 x 4 = 32

Therefore, the area is 32.

Jane has been practicing sewing, and she wants to make a rectangular blanket to give as a gift to her best friend. So that the blanket is not too small, Jane decides the blanket will have an area of approximately 40 square feet, or 5,760 square inches. She also wants the blanket to be 18 inches longer than it is wide to have room to embroider her friend's name along one edge.
To the nearest tenth of an inch, what is the width of the blanket?

Answers

The width of the blanket to the nearest tenth of an inch is approximately 67.4 inches.

What is width in rectangle ?

In a rectangle, the width refers to the measurement of the shorter side of the rectangle, which is perpendicular to its length.

Let x be the width of the blanket in inches. Then the length of the blanket is x + 18 inches.

The area of the blanket is given by:

Area = Length x Width

5760 sq inches = (x + 18) inches * x inches

Expanding the right-hand side and solving for x, we get:

[tex]x^2 + 18x - 5760 = 0[/tex]

We can solve this quadratic equation using the quadratic formula:

[tex]x = (-b \pm \sqrt{(b^2 - 4ac)}) / 2a[/tex]

where a = 1, b = 18, and c = -5760. Plugging in these values, we get:

[tex]x = (-18 \pm \sqrt{(18^2 - 4(1)(-5760))}) / 2(1)[/tex]

[tex]x = (-18 \pm \sqrt{(18^2 + 23040)}) / 2[/tex]

x ≈ 67.42 or x ≈ -85.42

Since the width cannot be negative, the width of the blanket to the nearest tenth of an inch is approximately 67.4 inches.

To learn more about quadratic equation from the given link :

https://brainly.com/question/30098550

#SPJ1

A human head can be approximated as a sphere with a circumference of 60
centimeters. What is the approximate volume of a human head, rounded to the nearest 1,000
cubic centimeters?(GEOMETRY HELP)

Answers

The approximate volume of a human head is 4000 cubic centimeter.

What is the approximate volume of a human head?

A sphere is simply a geometrical object that is a three-dimensional analogue to a two-dimensional circle.

The circumference of a sphere is given by the formula:

C = 2πr

Where r is the radius of the sphere. In this case, we are given that the circumference of the sphere (which approximates the human head) is 60 cm, so:

60 cm = 2πr

Solve for r

r = 60/2π

r = 30/π

The volume of a sphere is given by the formula:

V = (4/3)πr³.

Substituting the value we found for r, we get:

V = (4/3) × π × ( 30/π )³

V = (4/3) × π × ( 30/π )³

V = 3647.566 cm³

V = 4000 cm³

Therefore, the volume to the nearest 1,000 cubic cm is 4000 cm³.

Learn more about volume of sphere here: https://brainly.com/question/27933834

#SPJ1

Slope of the tangent line=?
m=?
b=?

Answers

The slope of the tangent line is given as follows: m = -1/14.The equation of the tangent line of f(x) at point (8,7) is given as follows: y = -x/14 + 53/7.

How to obtain the equation of the tangent line?

The function for this problem is given as follows:

[tex]f(x) = \sqrt{57 - x}[/tex]

The derivative of the function is given as follows:

[tex]f^{\prime}(x) = -\frac{1}{2\sqrt{57 - x}}[/tex]

The slope of the tangent line at point (8,7) is given by the numeric value of the derivative of f(x) at x = 8, hence:

[tex]f^{\prime}(8) = -\frac{1}{2\sqrt{57 - 8}}[/tex]

m = f'(8) = -1/14.

Hence the equation of the tangent line, which is a linear function, is given as follows:

y = -x/14 + b.

When x = 8, y = 7, hence the intercept b is obtained as follows:

7 = -8/14 + b

b = 7 + 8/14

b = 49/7 + 4/7

b = 53/7.

Hence the equation is given as follows:

y = -x/14 + 53/7.

More can be learned about the equation of a tangent line at https://brainly.com/question/7252502

#SPJ1

Which expression represents the distance
between point G and point H?
|-12|16| |-12|+|-9|
1-9|-|-6|
|-12|+|6|
-15
H(-9,6)
G(-9,-12)
15+y
0
-15-
15

Answers

Answer:

Step-by-step explanation:

2

Other Questions
as the metabolic rate increases, more carbon dioxide is produced. predict how this would affect the rate of respiration. tyreke thinks that, in the future, people will negatively judge our current society. tyreke believes that there is a lot that our society does wrong, from polluting the planet to how we treat animals used for food, and so he thinks that those judgments from future people will be true. based on this information, which of the following moral views could tyreke be using to inform his belief?- subjective relativism- emotivism - objectivism - cultural relativism what causes genetically distinct within a species iintellectual property rights may be legally protected in several ways. which of the following answer options is not one of the ways of protecting intellectual property? Two angles of an irregular polygon are 100each and each of the remaining angles is 1300.Find the number of sides of the polygon. what is the size in mm of an image of a 0.85 mm object, such as lettering inside a ring, held at this distance? select all the characteristics that apply to the description of the typical nonvascular mosses. phylum lycophyta phylum bryophytes gametophyte nutritionally dependent upon the sporophyte sporophyte nutritionally dependent upon the gametophyte flagellated sperm production pollen producing homosporous heterosporous Mrs. Jefferson needs new whiteboard markers for her classroom. Whiteboard markers at the office supply store are being sold for 5 for 7.25. Mrs. Jefferson has 26 students in her class. She wants to have enough markers so that each student has 3 markers. Which of the amounts would be enough money to buy her students a minimum of 3 markers each? Select all that apply.$75, $93, $102, $113, $115, $129 question 1 which example of research with prisoners would be allowable under the regulations? determining safety of a new formulation of deodorant. examining the use of financial incentives to improve compliance with dentist appointments. investigating genetic biomarkers as predictors of intelligence. examining age at first arrest as a predictor of adult criminal history. question 2 a researcher is examining the quality of life for prisoners who are hiv-positive using surveys followed by interview. the irb must ensure that: the survey instrument is standardized. confidentiality of the prisoners' health status is maintained. a medical doctor serves as co-investigator. all prisoners receive hiv testing. question 3 a researcher wants to contact former prisoners who are now on parole. she wants to study the difficulty of obtaining employment based on whether the subjects had been convicted of felony versus misdemeanor crimes. she needs to: do nothing in regards the subpart c because the research does not meet the criteria for prison research -- individuals on parole are not considered prisoners. the definition applies to both minors and adults. stop because this type of study is not permitted under federal regulations. have made initial contact with potential subjects while they were in prison. obtain the permission of the parole board to ensure that no negative consequences will happen to those who decline to take part, and who return to prison. question 4 a graduate student wants to examine the effect of print media versus televised media on individuals' position on several social issues. the superintendent of a local work release facility, a family friend, will allow the graduate student access to the prison population to help her quickly accrue subjects. the student's irb should: approve this project since the risk appears to be no more than minimal. not approve this project because the prisoners are merely a population of convenience for the student. approve this project but submit it for federal review. approve this project because the superintendent is the ultimate authority on what happens in his facility. question 5 which of the following statements about prison research is true? researchers may study the effects of privilege upgrades awarded by the prison. participation in research can be considered during parole hearings. the regulations prohibit compensating prisoners. it is permissible for risks to be higher than those that would be accepted by non-prisoners. what does douglass mean when he says the penalty of telling the truth which territory was the first land acquired by the united states beyond the region of the modern-day contiguous states? Which of the following is a federal agency that is the world's largest source of biomedical research funding?A) National Institutes of Health (NIH)B) Food and Drug Administration (FDA)C) Centers for Disease Control and Prevention (CDC )D) Health Resources and Services Administration (HRSA)E) Agency for Healthcare Research and Quality (AHRQ)F) Indian Health Service (IHS)G) Substance Abuse and Mental Health Services Administration (SAMHSA) The undergraduate grade point averages (UGPA) of students taking an admissions test in a recent year can beapproximated by a normal distribution, as shown in the figure(a) What is the minimum UGPA that would still place a student in the top 5% of UGPAS?(b) Between what two values does the middle 50% of the UGPAS lie?COLLE(a) The minimum UGPA that would still place a student in the top 5% of UGPAS is 3.66(Round to two decimal places as needed.)(b) The middle 50% of UGPAS lies between 3 26 on the low end and 3.30 on the high end(Round to two decimal places as needed.) why are there more indirect that is tendinous muscle attachments By what factor would you have to increase a at constant n to have the zero point energies of a Ne atom be equal to the zero point energy of a hydrogen atom in the box? What are the 5 chemical bonds? "I could be well moved if I were as you.If I could pray to move, prayers would move me.But I am constant as the Northern Star,Of whose true fixed and resting qualityThere is no fellow in the firmament.The skies are painted with unnumbered sparks;They are all fire, and every one doth shine;But there's but one in all doth hold his place." (III.i.58-65)What is the context of this quote? what is the product of starch hydrolysis by gamma-amylase?a.Cellobioseb.Maltosec.Glucosed.dextrin company sales records, commercial databases, newspaper announcements, and public records are all sources used for please help!!A government agency reported that one year, 21,013 people were treated for medical emergencies related toenergy drinks containing very high doses of caffeine. The table shows the age distribution for these patients.What is the probability that a person treated for an energy drink-related emergency was under 40 given thatthe person was at least 18 years old?please help!!!