Find the value of x:

The value of t for which the ball's height is 26 feet is given as follows:

t = 0.33 seconds.

The quadratic equation that models a projectile's height is given as follows:

y = -16t² + v(0)t + h(0).

In which the parameters are given as follows:

The coefficients for this problem are given as follows:

h(0) = 6, v(0) = 37.

Hence the function is given as follows:

y = -16t² + 37t + 6.

The height is of 26 feet when:

-16t² + 37t + 6 = 20

Hence:

-16t² + 37t - 14 = 0.

The coefficients of the quadratic function are given as follows:

a = -16, b = 37, c = -14.

Inserting these coefficients into a quadratic function calculator, the time is given as follows:

t = 0.33 seconds.

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Standard deviation of data represents hours worked per day by entry level employees is 2.9

The following set of data represents hours worked per day by entry level employees :

14, 7, 10, 9

First calculate the mean of the sample

Mean ([tex]\overline{X}[/tex])= [tex]\frac{14+7+10+9}{4}[/tex]

Mean = [tex]\frac{40}{4}[/tex]

[tex]\overline{X}[/tex]  = 10

Now, calculate the standard deviation:

Standard deviation = [tex]\sqrt\frac{\sum{(x_i - \overline{X}})^{2}}{N -1}[/tex]

Standard deviation = [tex]\sqrt \frac{(14-10)^{2}+(7-10)^{2}+(10-10)^{2}+(9-10)^{2}}{3}[/tex]

Standard deviation = [tex]\sqrt\frac{16+9+0+1}{3}[/tex]

Standard deviation = [tex]\sqrt{8.66}[/tex] = 2.9

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Answer:

Deborah is 27 years old and Syria is 31 years old.

Step-by-step explanation:

Let's say Deborah's age is x and Syria's age is y.

From the given information, we know that:

x + y = 58 (the sum of their ages is 58)

Also, the difference between their ages is 4, which means:

y - x = 4

We can use these two equations to find the values of x and y.

First, we'll solve for y:

y = x + 4

Substituting this value of y into the first equation:

x + (x + 4) = 58

Expanding the left-hand side:

2x + 4 = 58

Subtracting 4 from both sides:

2x = 54

Dividing both sides by 2:

x = 27

So Deborah is 27 years old and Syria is y = 27 + 4 = 31 years old.

Answer:

1/12

Step-by-step explanation:

Total Number of pieces of paper = 24

Total Number of pieces of paper with an odd number on it= 24/2 = 12

Total Number of pieces of paper with Number 19 = 1

Probability of a student on blue team having the Number 19 would be = Number of paper pieces with Number 19/Total number of pieces of paper with an odd number = 1/12

We take only the pieces of paper with an odd number on it as we already know the student is in the blue team so they had to have an odd number.

Answer:

[tex](17 \times6) + (11 \times 4)[/tex]

[tex]102 + 44 = 146[/tex]

Answer:

72

Step-by-step explanation:

circumference = 20

arc = 4

4/20 =1/5

a circle = 360°

1/5 * 360 = 72

Therefore , the solution of the given problem of expression comes out to be its final simplification is 5ln4y - 2lnx.

There is a need for mathematical operations such addition, multiplication, multiplication, and division. When variable combined, they produce the following: A mathematical operator, some data, and an equation A statement of fact is composed of values, parameters, plus operations like additions, subtractions, multiplications, and divisions. It is possible to contrast and compare various sentences and words.

Here,

Given :

To expand the given expression :

=> ln [ (4y)⁵/ x² ]  

=> ln [ (4y)⁵/ x² ]  

=> ln(4y)⁵ - lnx²

=> 5ln4y - 2lnx

Thus,

its final simplification is : 5ln4y - 2lnx.

Therefore , the solution of the given problem of expression comes out to be its final simplification is 5ln4y - 2lnx.

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Answer: To find the inverse of the function f(x), we need to switch the roles of x and y, so that x becomes the dependent variable and y becomes the independent variable. Then, we need to solve for x in terms of y.

Let y = √x - 5, then x = y^2 + 5.

To find f^-1(2), we need to substitute 2 for y in the equation x = y^2 + 5:

x = 2^2 + 5 = 9

So f^-1(2) = 9.

This means that the inverse of f(x) at 2 is 9. In other words, if f(x) = 2, then x = 9.

Step-by-step explanation:

Kara's grandmother knitted the cap during the afternoon is [tex]\frac{1}{2}[/tex].

A fraction is a number that represents the part of a whole. It is in the form of [tex]\frac{a}{b}[/tex] , in which upper 'a' part denotes numerator and the lower part 'b' denotes the numerator.

Kara's grandmother knitted the cap,

In the morning = [tex]\frac{1}{5}[/tex]

In the evening = [tex]\frac{7}{10}[/tex]

She knitted during the afternoon = [tex]\frac{7}{10} -\frac{1}{5}[/tex]

                                                       = [tex]\frac{7}{10} - \frac{2}{10}[/tex]

                                                       = [tex]\frac{5}{10} = \frac{1}{2}[/tex]

Hence, Sara's grandmother knitted the cap during the afternoon =[tex]\frac{1}{2}[/tex].

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The range of the quadratic function is {y |0 ≤ y < 9}

The range of a function is the set of output values of the graph. In other words mean the range of a function is the set of y values of the graph.

Given,

Parabola opens from

Closed circle point = (-2, 4) , then decreases

y ≤ 4

vertex = (0,0)

at vertex y = 0

then increases to

Open circle point = (3, 9)

y < 9.

It can be concluded,

value of y is such that 0 ≤ y < 9.

Range = {y | 0 ≤ y < 9}

Hence, the range of the function is {y | 0 ≤ y < 9}

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Answer:

Step-by-step explanation:

1+1=2 your welcome

Answer:

10a²/7

Step-by-step explanation:

25a/7×2a/5

50a²/35

10a²/7

Answer:

lamohehsphbejrokrbbrjirorvv!hskosbbbwjoajwwjorvvrjfoisbbsiosbwbddpsba hzidb djfofvdjododvowjwwjfpgrdhvrjforvveif fbbrhfjvrjdoddvririvrhrHieojeh

After reading quote from chapters 1-3 of Treasure Island.

"He cleared the hilt of his cutlass and loosened the blade in the sheath; and all the time we were waiting there he kept swallowing as if he felt what we used to call a lump in the throat."

Based on the actions described in the quote, Black Dog is feeling fear. Hence option B is correct answer.

Clearing the hilt of his cutlass and loosening the blade in the sheath are actions typically taken when one is preparing for potential danger or conflict.

Therefore, based on the above, the fact that Black Dog is swallowing as if he has a lump in his throat is another indication that he is feeling fear or nervousness.

Correct option is: B

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The value of the expression 4p ÷ 6 when p = 12 is 8

Given the expression in the question;

4p ÷ 6

To determine the value of the expression, substitute p = 12 for all values of p in the expression and simplify.

4p ÷ 6

Plug in p = 12

4( 12 ) ÷ 6

Multiply 4 and 12

48 ÷ 6

Divide 48 by 6

8

Therefore, the value is 8.

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The point (-5,-3) reflected over the y-axis is (5, -3).

There are two ways of reflection.

Along x-axis:

(x, y) – (x, -y)

Along y-axis:

(x, y) - (-x, y)

We have,

(-5, -3)

Now,

Along y-axis:

(x, y) → (-x, y)

So,

(-5, -3) → (-(-5), -3) = (5, -3)

Thus,

(5, -3) is the reflected point.

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Answer:

x=1

Step-by-step explanation:

up we have the answer of the question

Answer:

the number is 4.

Step-by-step explanation:

The number is 4 because 3 × 4 = 12 and 4^2 = 16.

16 - 12 = 4

Thanks for Brainly.

Hope I could help in time.

the answer to your problem is y = 4/7x

A pattern when a binomial can be written as the square of one number minus the square of another number will be 4x² - 9 = (2x-3)(2x + 3)

Binomial is the name for an algebraic expression with only two terms. It is a polynomial with two terms. It is sometimes referred to as the sum or difference of two or more monomials. It is a polynomial's most basic form.

It should be noted that a binomial is an algebraic expression that has two non-zero terms. Examples of a binomial expression: a2 + 2b is a binomial in two variables a and b. 5x³ – 9y² is a binomial in two variables x and y.

In this case, the illustration for 4x² - 9 = (2x-3)(2x + 3) depicts this.

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Answer:

option C

Step-by-step explanation:

line AB bisects the angle, so it is an angle bisector.

The given statement is true, The set of all possible outcomes during the course of an experiment is called a sample-space.

Sample-space, in probability, is referred to as the collection of all possible outcomes in any random experiment. It is denoted by "S".

Since it is a set, it is shown within the braces.

Given statement,

The set of all possible outcomes during the course of an experiment is called a sample-space.

By the definition of sample space, statement is true.

Example: Toss a coin

Sample-space, S={H,T}

H= head

T= tail

Hence, The set of all possible outcomes of any experiment is called sample-space.

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The length of the part of the table that Dina will be painting is 21.991595 feet.

Circumference refers to the distance around the edge of a circle. It is the length of the perimeter of a circle and is defined as the product of the circle's radius and its constant pi (π). The formula for the circumference of a circle is:

C = 2πr

where C is the circumference, π is approximately equal to 3.14, and r is the radius of the circle.

The circumference of a circle is an important concept in geometry, trigonometry, and engineering, as it provides a measure of the size and shape of a circular object. Circumference is used in many applications, such as determining the size of wheels, gears, and other circular objects, as well as in the calculation of areas and volumes of circular shapes.

To find the length of the part of the circular table that Dina will be painting, we need to find the circumference of the circle.

Circumference = 2 * π * r

Where r is the radius of the circle. In this case, the radius is 3.5 feet, so:

Circumference = 2 * π * 3.5

Circumference = 2 * 3.14159 * 3.5

Circumference = 21.991595 feet (to 4 decimal places)

So, the length of the part of the table that Dina will be painting is 21.991595 feet.

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The value of the variable x is 4. 90

Algebraic expression are expressions composed of variables, terms, coefficients, factors and constants.

They are also made up of mathematical operations.

From the information given, we have that;

[tex]\sqrt{11x - 5}[/tex] = 7

To solve the equation

Find the square of both sides, we get;

11x - 5 = 7²

find the square

11x - 5 = 49

collect like terms

11x = 49 + 5

add the values

11x = 54

Make 'x' the subject

x = 4. 90

Hence, the value is 4. 90

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The fraction of all the animals that are not dogs and cats is 9/40 or 0.225.

The fractions of the dog and cat populations are summed and subtracted from 1, which represents the total population of the animals.

The fractions can also be expressed as decimals using division operations.  They can also be depicted in percentages by multiplying the division quotients by 100.

Fractions of Animal Populations in the Shelter:

Dogs = 2/5

Cats = 3/8

2/5 + 3/8 = 31/40

The lowest common factor of 5 and 8 is 40.

Other pets = x

x = (1 - 31/40)

x = 9/40

Thus, since 2/5 of the animal populations are dogs and 3/8 are cats, the rest of the pets, including birds, hamsters, and lizards can be represented fractionally as 9/40.

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Answer:

Step-by-step explanation:

A. Congruent

An equation for the line of best fit that models the data points is

y = 1.31x + 0.02.

We would utilise a scatter plot on Microsoft Excel to find a linear equation for the line of best fit that models the data points mentioned above.

In this case, the scatter plot's x-axis would be used to plot the width (in centimetres), and its y-axis would be used to plot the length (in centimetres).

A linear equation for the line of best fit can be derived from the scatter plot (see attachment), which depicts the relationship between the width and length as

y = 1.31x + 0.02.

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Answer: The graph shows no correlation, and it is neither linear nor exponential.

Step-by-step explanation:

try doing a line of fit you're ALWAYS. gonna be ignoring other dots/points/coorids.

Why it's not a correlation is because nothing is together. You could consider a lot of dots on the edge.

If that doesn't make sense to you lets go through each answer

The graph shows a negative correlation, and it is a linear model.

The coordinates don't form any specific line

None of the coordinates are together

there's no slope since there's no line of fit.

it's THE SAME FOR THE OTHER ANSWER CHOICES BESIDES:

'The graph shows no correlation, and it is neither linear nor exponential.'

Answer:

[tex]\huge\boxed{\sf SA \approx 967.1\ cm\²}[/tex]

Step-by-step explanation:

Radius = r = 7 cm

Height = h = 15 cm

Surface Area = SA = ?

Surface Area of a cylinder = 2πrh + 2πr²

Using 3.14 for π

Now, Put the given data in the above formula.

SA = 2(3.14)(7)(15) + 2(3.14)(7)²

SA = 659.7 + 2(3.14)(49)

SA = 659.4 + 307.72

[tex]\rule[225]{225}{2}[/tex]

let's firstly convert the mixed fractions to improper fractions.

[tex]\stackrel{mixed}{7\frac{5}{6}}\implies \cfrac{7\cdot 6+5}{6}\implies \stackrel{improper}{\cfrac{47}{6}} ~\hfill \stackrel{mixed}{5\frac{1}{3}} \implies \cfrac{5\cdot 3+1}{3} \implies \stackrel{improper}{\cfrac{16}{3}} \\\\\\ \stackrel{mixed}{1\frac{1}{9}}\implies \cfrac{1\cdot 9+1}{9}\implies \stackrel{improper}{\cfrac{10}{9}} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\left( \cfrac{47}{6}-\cfrac{16}{3} \right)+\cfrac{10}{9}\implies \cfrac{47}{6}-\cfrac{16}{3}+\cfrac{10}{9}\implies \cfrac{(3)47~~ - ~~(6)16~~ + ~~(2)10}{\underset{\textit{using this LCD}}{18}} \\\\\\ \cfrac{141-96+20}{18}\implies \cfrac{65}{18}\implies {\Large \begin{array}{llll} 3\frac{11}{18} \end{array}}[/tex]