19. A savings account earns 4% annual simple interest.
The principal is $1700. What is the balance after 6
years?

The answer is Option B (F(x) = x + 1 and G(x) = √3x).

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According to the information, the center line would be 3.5 cm from points X and Y.

To graph the instructions described we must perform the following procedure:

First of all we must carefully read the instructions and identify what the first step is. In this case we must draw a horizontal line 7 cm long.

Secondly, we must draw a line at the point equidistant from the points X and Z, that is, halfway between these two points. If we take into account that the first line measures 7 cm, this point will be 3.5 cm from each point.

Thirdly, we must give a length of 6 cm to this central line and it must also be equidistant. Therefore, we must give it 3 cm upwards and 3 cm downwards in length so that it is equidistant.

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The number of degrees of freedom in a t-test is calculated as the sample size -2.

In this case, if Deja is performing a t-test to determine if there is a mean difference between the number of abrasions per leaf produced by the two strains, she needs to have the sample size of both strains.

Assuming she has n1 and n2 samples for each of the two strains, the degrees of freedom can be calculated as:

df = n1 + n2 - 2

The degrees of freedom represent the number of independent pieces of information in the sample data that are used to estimate the population parameters. The t-test statistic is then compared to a t-distribution with the calculated degrees of freedom to determine the significance of the results.

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Answer: b y c a x b is the answer

:

The time it would take him to walk to the school at 1.5 mph is given as follows:

2 hours.

Velocity is distance divided by time, hence the following equation is built to model the relationship between these variables:

v = d/t.

The parameters for this problem are given as follows:

v = 6, t = 0.5 hours.

Hence the distance is of:

d = vt

d = 6 x 0.5

d = 3 miles.

At a velocity of 1.5 miles per hour, the time would be given as follows:

1.5 = 3/t

1.5t = 3

t = 2 hours.

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The number of deer that should be estimated live in the region is:

50.

To estimate the deer population, the method of capture-recapture is commonly used.

This method involves counting the number of tagged animals (in this case 220) and then counting the number of tagged animals in a subsequent sample (in this case 8 samples of 50 deer each).

By comparing the number of tagged deer in the sample to the total number of tagged deer, we can estimate the total population.

Let N be the total population of deer. The estimated population size can be calculated using the formula:

In this case, the number of tagged deer in the sample is 220. So, the estimated population size is:

Therefore, it is estimated that there are 50 deer living in the region.

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The term that best describes the analysis conducted by the researcher is; Observational Study

We are given the parameters as;

Number of all adult members of a tribe = 217

Average height of the adult members = 5.49 ft

Now, there are different methods of research analysis such as experiment

randomized trial

double blind study

observational study

Now, in this case we are only told what the researcher has observed from his analysis and an observational study is used to answer a research question based purely on what the researcher observes.

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Yes, you can find the standard error now by taking the standard deviation divided by the square root of the sample size.

The standard deviation in a data set is the mean deviation of the data from their mean.

For sample size n for a data set with data points X1, X2, X3……..Xn for exact standard deviation:

1. Calculates the arithmetic mean M of the set data by adding them all and dividing by n.

M = ( X1+X2+ X3+…..+Xn) / n

2. Calculate the deviation (D) for each data point from the mean M

D = (Xi-M) for all

3. Squaring and sum of all deviations, sum of squares (SS)

4. Divide SS by n.This quantity is the sample variance V

5. Take the square root of V.

6. This quantity is the sample standard deviation, SD.

There are some specific terms and issues to consider. If you are estimating the standard deviation of a population from a sample and the population mean $ is not known, M serves as an unbiased estimate of $. Again, SS is divided by (n-1), not n.

The resulting standard deviation is an unbiased estimate of the population standard deviation based on the sample size, n. If the population mean is known, use that mean instead of the sample mean. , and the SD of the sample is only calculated for n through SS dives.

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12/5 yards is the length she should use to make the string.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Given that Cassandra is hanging crystal stars from the gym ceiling using string for the homecoming dance

She wants the ends of the strings where the stars will be attached to be 7 feet from the floor.

BD is perpendicular to AC.

∠BDA+∠2+∠3=180

∠2+∠3=90 degrees.

∠1=∠3 (the equivalent substitution)

ΔABD=ΔBCD

AD/BD=BD/DC

(Similar triangles have sides that are proportional)

AD.DC=BD²

PC⊥AC

∠ACP=90 degrees.

∠ACM+∠MAC+∠∠CAM=180

∠ACM=∠APC

Therefore ΔAMC~ΔPCA

CM/CD=AC/AD

CM=12/5 yards

Hence, 12/5 yards is the length she should use to make the string.

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Answer: 18

Step-by-step explanation:

First, find x for x-2. So you would use one of the Geometric Mean Theorems using 5 and a height of 10. For this problem, we will use "y" as a placeholder for finding the whole total of that side.

[tex]\frac{5}{10} =\frac{10}{y} \\[/tex]    Solve. --> [tex]5y = 100\\[/tex] --> [tex]\frac{5y}{5} =\frac{100}{5} \\[/tex] --> y = 20

Then subtract 20 from 2 to find x. You get 18 as an answer.

El precio de cada refresco es de 4.35$  

⭐Explicación paso a paso:

En este caso lo que hay que hacer es el precio unitario de cada refresco.  

El precio unitario se obtiene al dividir el total de dinero entre la cantidad de refrescos que trae cada caja:  

Precio de cada refresco = Precio total/Cantidad de refrescos 

 Precio de cada refresco = 104.40$/24 

Precio de cada refresco = 4.35$  Por lo tanto, el precio de cada refresco es de 4.35$

Measurements are important for a safe and secure structure, as they must adhere to local building codes and regulations. Preliminary planning can be used to estimate the height, width, and length of the ramp and the amount of concrete and other materials needed.

A measurement is a measurable quantity that includes length, breadth, height, area, volume, weight, or time. Measurements are used to measure an object's or area's size, shape, or qualities.

A) Estimating measurements for a construction project such as this is not advisable, as accuracy is essential for ensuring the wall is stable and safe for use. Calculations must be precise in order to ensure the dimensions, material strength, and angles are correct, which is why it is important to use exact measurements in the plans.

B) In some cases, estimates may be acceptable. For example, the approximate number of blocks or pieces of material needed may be estimated based on the overall size and shape of the wall. Additionally, estimates of the time needed to complete the project may be made based on the experience of the construction team and the complexity of the project.

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Using percentages, we can deduce that 160 of the 800 attendees at the football and math conference were teenagers or 20% of the total.

In mathematics, a value or ratio that can be expressed as a fraction of 100 is known as a percentage.

When determining a percentage of a number, we should first divide it by 100 before multiplying the result by 100.

Therefore, the proportion refers to a component per 100.

The word percent denotes a percentage of 100.

A percentage (%) is a number that represents how many out of 100 it is and can also be written as a decimal or fraction.

To convert a percentage to a fraction, place the percentage's value in the numerator and 100 in the denominator.

So, we are aware of:

The football game attracted 800 spectators.

20% of the population were teenagers.

The number of teens at that time was:

= 800/100*20

= 8*20

= 160

Therefore, using percentages, we can deduce that 160 of the 800 attendees at the football and math conference were teenagers, or 20% of the total.

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Answer:

pues quien sabe

Step-by-step explanation:

The ticket price that would maximize the profit is $1 and the maximum profit would be $14,450.

To maximize the profit, we need to find the maximum value of the function P(t) = -50t^2 + 100t + 14,400.

The maximum value can be found by finding the vertex of the parabolic equation. The vertex can be found using the formula:

t = -b / 2a

where a, b, and c are the coefficients of the equation in the form of y = ax^2 + bx + c. In this case, a = -50, b = 100, and c = 14,400.

Substituting the values into the formula, we get:

t = -b / 2a = 100 / (-2 * -50) = 100 / 100 = 1

So, the ticket price that would maximize the profit is $1. To find the maximum profit, we can plug in t = 1 into the function:

P(1) = -50 * 1^2 + 100 * 1 + 14,400 = -50 + 100 + 14,400 = 14,450

So the maximum profit would be $14,450.

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Answer:

54

Step-by-step explanation:

1/4 of 72 is 18. 72-18=54.

On solving the provided question, we can say that the question we have here is [tex]2x\times2 +5x+\frac{3}{X}\times 2-2[/tex], by bodmas [tex]\frac{9x^{3} + 6 - 2x}{x}[/tex]

The acronym BODMAS helps children remember the order of mathematical operations (the correct order for solving math problems). The words B Bracket, O Degree (Power/Exponent or Root), D Division, M Multiplication, A Addition, and S Subtraction make up the acronym BODMAS.

In some places, BODMAS is also referred to as PEDMAS.

Exponents, division, multiplication, addition, and subtraction are represented by this. It serves as a parentheses as well. Parentheses must be handled first, then powers or roots (i.e., of), divisions, multiplications, additions, and finally subtractions, according to the BODMAS rule.

In India and the UK, he is referred to as BODMAS, but in the US, he is more commonly called PEMDAS. They are, nonetheless, exact replicas of one another.

the question we have here is

[tex]2x\times2 +5x+\frac{3}{X}\times 2-2[/tex]

by BODMAS

Firstly, division them multiplication,

⇒ [tex]4x + 5x + \frac{6}{x} - 2[/tex]

Now we will add the addends,

⇒ [tex]9x^{2} + \frac{6}{x} - 2[/tex]

⇒ [tex]\frac{9x^{3} + 6 - 2x}{x}[/tex]

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In general, the employees at Store 1 got more sleep, with an average of 8.5 hours of sleep per employee, compared to Store 2's average of 7.5 hours.

The dot plots for the two stores show that Store 1 had employees who got between 5 and 10 hours of sleep, whereas Store 2 had employees who got between 4 and 8 hours of sleep. The median for Store 1 was 8.5 hours of sleep, and the median for Store 2 was 7.5 hours of sleep. This indicates that, in general, the employees at Store 1 got more sleep than the employees at Store 2. The dot plots also show that there were more employees at Store 1 with 8 hours of sleep than Store 2, and fewer employees at Store 1 with 6 hours of sleep than Store 2. This suggests that Store 1 had more employees getting 8 hours of sleep, and fewer employees getting 6 hours of sleep, than Store 2. This can be further seen by the fact that the average amount of sleep for employees at Store 1 was 8.5 hours, while the average amount of sleep for employees at Store 2 was 7.5 hours. Therefore, in general, the employees at Store 1 got more sleep than the employees at Store 2, with an average of 8.5 hours of sleep per employee, compared to Store 2's average of 7.5 hours.

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The area of shape B which is of 15 cm, is 312.5 cm²

Let us assume that the area of the shape B is x square units.

The dimensions of shape A is 12 cm

The area of the shape A is 200 cm²

The dimensions of shape B is 15 cm

The area of the shape B is x cm²

Since A and B are two similar 2D shapes their dimensions must be in proportion.

So, we get an equation,

A² / B² = 200 / x

12² / 15² = 200 / x

144 / 225 = 200 / x

x = 312.5 cm²

Therefore, the area of shape B is 312.5 cm²

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The complete question is:

A and B are two similar 2D shapes. The area of shape A which is 12cm is 200cm squared. Calculate the area of shape B which is 15cm.

Answer:

one of the zeros is x = 0 and not x = 1

Step-by-step explanation:

Zeros are found by setting each of the factors to 0 and solving for x

Factors are x, x -4, x + 2

Set each of them to 0:
x =0
x + 2 = 0 ==> x = -2
x -4 = 0 ==> x = 4

So one of the zeros is x = 0 and not x = 1

The proof for the the lines p and q are parallel is given below.

Alternate exterior angles are the angles formed on the two opposite sides of the transversal which are on the outer side of the parallel lines.

Given that,

∠1 ≅ ∠2 or ∠2 ≅ ∠1.

Now ∠1 ≅ ∠3, by the vertical angles theorem.

(By the vertical angles theorem, vertical angles formed by two intersecting lines are congruent).

Then ∠2 ≅ ∠3, by the transitive property.

(Transitive property states that, if a = b and b = c, then a = c)

By the corresponding angles converse postulate, two lines p and q are parallel.

(If the corresponding angles of two lines cut by a transversal are equal, the lines are parallel).

Hence it is proved.

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Answer:

0.85

Step-by-step explanation:

4a-2b+c/2abc

where a=5,b=2,c=1

4(5)-2(2)+1/2×5×2×1

20-4+1/20

17/20

0.86

Answer:

  79

Step-by-step explanation:

You want the smallest of 6 consecutive odd integers that have a sum of 504.

The average of the integers will be the even integer between the middle two odd integers. The smallest odd integer is 5 less than this average.

The average is the sum divided by the number of integers:

  504/6 = 84

The smallest of the 6 integers is 84 -5 = 79.

__

Additional comment

The integers are 79, 81, 83, 85, 87, 89.

Consecutive integer problems are often easily worked by considering the average of the integers, as here.

If you feel like you need an equation, you can let x represent the smallest. Then the sum is ...

  x +(x+2) +(x+4) +(x+6) +(x+8) +(x+10) = 6x +30 = 504

  6x = 474   ⇒   x = 474/6 = 79

Answer:

42=7

15=0.6

Step-by-step explanation:

Any 3 of those entries are equal to 0, the determinant will be 0, meaning the matrix is non-invertible.

The minimal number such that any 3-by-3 matrix with of its entries equal to zero is non-invertible is 3. This can be calculated by finding the determinant of the matrix. The determinant is the sum of the products of the entries in the matrix, each multiplied by its corresponding minor. If a 3-by-3 matrix has 3 of its entries equal to zero, the determinant will be equal to 0, which means the matrix is non-invertible. To calculate the determinant of a 3-by-3 matrix, use the formula.

Where a, b, c, d, e, f, g, h, i are the entries of the matrix. If any 3 of those entries are equal to 0, the any 3 of those entries are equal to 0, the determinant will be 0, meaning the matrix is non-invertible determinate will be 0, meaning the matrix is non-invertible.

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Answer:

99/104

Step-by-step explanation:

1 3/8 divided by 1 4/9

1 3/8 = 11/8

1 4/9 = 13/9

11/8 divided by 13/9

= 11/8 times 9/13

= 99/104

Answer:

To find f(2), we simply substitute 2 for x in the function f(x)=5x+12 and simplify:

f(2) = 5(2) + 12

= 10 + 12

= 22

Therefore, f(2) = 22.

Step-by-step explanation:

No, there are no whole numbers with a cube root between 0 and 1. A cube root of a number is a value that, when multiplied by itself three times, gives the original number.

The cube root of a number is a value that, when multiplied by itself three times, gives the original number. The cube root of a positive number is always positive. If a positive number is between 0 and 1, then its cube will be even smaller.

For example, the cube root of 8 is 2, and the cube root of 27 is 3. If we take the cube root of a number less than 1, such as 0.5, the result is less than 1. However, since we are talking about whole numbers, 0.5 is not a whole number and therefore not in the scope of the question.

Therefore, it can be concluded that there are no whole numbers with a cube root between 0 and 1 because any positive whole number raised to the power of 1/3 will result in a value greater than 1.

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The answer is  cov(x,y) = 0.059, if we choose a random point (X, Y ) uniformly from the union of the line segments AB and AC.

As given, A = (0, 0) ,B = (1, 0) and C = (0, 1)

and we have the select x and y from line segment AB and AC respectively.

So, x can be 1.0, 0.8, 0.6, 0.4, 0.2

and y  can be 1.0, 0.8, 0.6, 0.4, 0.2

Now we have to find,

                     cov(x,y) = ∑(Xi - μ) (Yj - v) / n

where,

Now µ = 1.0 + 0.8 + 0.6 + 0.4 + 0.2 + 0.0 ÷ 6

        µ = 3 ÷ 6

        µ = 1/2 = 0.5

Now v = 1.0 + 0.8 + 0.6 + 0.4 + 0.2 + 0.0 ÷ 6

        v = 3 ÷ 6

        v = 1/2 = 0.5

Now, we have to find

       (Xi - µ) = (1.0 - 0.5), (0. 8- 0.5), (0.6 - 0.5), (0.4 - 0.5), (0.2 - 0.5),                            

                           (0.0 - 0.5)

        (Xi - µ) = 0.5, 0.3, 0.1, (-0.1), (-0.3), (-0.5)

(Yj - v) =  (1.0 - 0.5), (0. 8- 0.5), (0.6 - 0.5), (0.4 - 0.5), (0.2 - 0.5),                            

                           (0.0 - 0.5)

(Yj - v) = 0.5, 0.3, 0.1, (-0.1), (-0.3), (-0.5)

Now calculate (Xi - μ) (Yj - v): multiply them with their respective one

(Xi - μ) (Yj - v) = (0.5×0.5), (0.3×0.3), (0.1×o.1), (-0.1)(-0.1), (-0.3)(-0.3),

                         (-0.5)(0.5)

therefore,

∑(Xi - μ) (Yj - v) = (0.25+ 0.09 + 0.01 + 0.01 + 0.09 + 0.25)

∑(Xi - μ) (Yj - v) =0.35

Now,  cov(x,y) = ∑(Xi - μ) (Yj - v) / n

          cov(x,y) = 0.35 / 6

          cov(x,y) = 0.059

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