Solving a Formula for a Variable
Solve for the width in the formula for the area of a rectangle.
Use the rewritten formula to find the width of a rectangle with an area of 42 square inches and a length of 16.8 inches.
I

Answer:

The weight of the two goats is 2.08 kg

Step-by-step explanation:

Total avg

Avg of the two goats

Avg of one goat

Answer:

3 days

Step-by-step explanation:

Answer:

"15" (and any subsequent words) was ignored because we limit queries to 32 words

Lower limit = 0.45 - (1.96 * 0.121855) = 0.2209. This means that we can be 95% confident interval that the true slope coefficient lies between 0.2209 and 0.45.

1. The standard error of the slope coefficient can be calculated by dividing the sample standard deviation of the residuals (obtained from the regression output) by the square root of the sample size.

2. The lower limit of the 95% confidence interval of the slope coefficient can be calculated by subtracting 1.96 times the standard error of the slope coefficient from the coefficient itself.

Lower limit = 0.45 - (1.96 * 0.121855) = 0.2209

Interpretation

The lower limit of the 95% confidence interval for the slope coefficient of the regression of kinesthetic VARK scores on the visual VARK scores for biology students is 0.2209. This means that we can be 95% confident that the true slope coefficient lies between 0.2209 and 0.45.

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The time to reach 15 feet is 3.75 seconds and the times to reach 63 feet are 1.75 and 2.25 seconds

From the question, we have the following parameters that can be used in our computation:

h= -16t² + v₀t + h₀

Also, we have

v₀ = 64

h₀ = 0

So, the function becomes

h= -16t² + 64t

At a height of 15 feet, we have

-16t² + 64t = 15

So, we have

-16t² + 64t - 15 = 0

Factorize the equation

So, we have the following representation

(4t - 1)(4t - 15) = 0

Expand the equation

4t - 1 = 0 or 4t - 15 = 0

So, we have

4t = 1 or 4t = 15

This gives

t = 1/4 or t = 15/4

Express as decimals

t = 0.15 or t = 3.75

Here, we have

h= -16t² + v₀t + h₀

Also, we have

v₀ = 64

h₀ = 0

So, the function becomes

h= -16t² + 64t

At a height of 63 feet, we have

-16t² + 64t = 63

So, we have

-16t² + 64t - 63 = 0

Factorize the equation

So, we have the following representation

(4t - 7)(4t - 9) = 0

Expand the equation

4t - 7 = 0 or 4t - 9 = 0

So, we have

4t = 7 or 4t = 9

This gives

t = 7/4 or t = 9/4

Express as decimals

t = 1.75 and t = 2.25

Hence, the time is 2.25 seconds

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Complete question

An object is thrown vertically upward from a height of h₀ ft with an initial speed of v₀ ft/sec. Its height h (in feet) after t seconds is given by

h= -16t² + v₀t + h₀. Given this, if it is thrown vertically upward from the ground with an initial speed of 64 ft/sec,

(a) At what time will the height of the ball be 15 ft? (two answers)

(b) How long will it take for the ball to reach 63 ft?

Answer:

it is 12/2b

Step-by-step explanation:

answeranswer

After solving the equation, the value obtained for x will be equal to 20 in².

An object's area is how much space it takes up in two dimensions. It is the measurement of the number of unit squares that completely encompass the surface of a compact figure.

The squared unit, which is frequently expressed as inches, square feet, etc., is the accepted unit of area.

As per the given information in the question,

Let the length of the rectangular wood, l = 16 in and,

The width of the rectangular wood, w = 8 in.

Use the area of a rectangle,

A = lw

A = (16)(8)

A = 128 in².

Let the area cut from each side be x.

If the area is cutting from all sides, then it will be 4x.

The surface area left after cutting the board = 48 in²

Then, the equation will be,

128 in² - 4x = 48 in²

4x = 128 in² - 48 in²

4x = 80

x = 80/4

x = 20 in²

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Answer:

Calories per Cheeseburger: 1250

Calories per Fries: 250

Step-by-step explanation:

Answer: 500

Step-by-step explanation:

280 + 220 is 500

Answer:

The number is 500.

Step-by-step explanation:

Let's assume that,

→ Missing number = x

Forming the equation,

→ x = 220 + 280

Now the value of x will be,

→ x = 220 + 280

→ [ x = 500 ]

Hence, the number is 500.

The value of x in the equation is 88.03.

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.

Therefore, the equation be solve as follows:

The variable x can be solved as follows:

A variable is a number represented with letter in an equation.

Hence,

12.098x + 10996 = 136x + 89

subtract 12.098x from both sides

12.098x - 12.098x + 10996 = 136x - 12.098x + 89

10996 = 123.902x + 89

subtract 89 from both sides of the equation

10996 - 89 = 123.902x + 89 - 89

10907 =  123.902x

divide both sides by  123.902

Hence,

x = 10907 /  123.902

x = 88.0292489225

x = 88.03

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The given statement , regression analysis invites us to think in terms of an independent variable resulting from or being caused by a dependent variable's actions is true.

Regression analysis is a group of statistical procedures used in statistical modelling to determine the relationships between a dependent variable (often referred to as the "outcome" or "response" variable, or a "label" in machine learning jargon), and one or more independent variables (often referred to as "predictors," "covariates," "explanatory variables," or "features").

In linear regression, the most typical type of regression analysis, the line (or a more complicated linear combination) that most closely matches the data in terms of a given mathematical criterion is found.

When using the ordinary least squares method, for instance, the specific line (or hyperplane) that minimizes the sum of squared differences between the genuine data and that line is computed (or hyperplane).

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Answer:

slope = - [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (8, 10 ) and (x₂, y₂ ) = (10, 7 )

m = [tex]\frac{7-10}{10-8}[/tex] = [tex]\frac{-3}{2}[/tex] = - [tex]\frac{3}{2}[/tex]

Answer:

Step-by-step explanation:

this is easy

Answer: The recursive formula for the sequence 2, -6, 18, -54 is given by the following:

a(n) = (-3) * a(n-1)

where a(n) is the nth term of the sequence and a(n-1) is the previous term in the sequence.

This means that each term in the sequence is equal to -3 times the previous term, with the first term being 2. For example, the third term of the sequence (a(3)) would be equal to (-3) * a(2), which is (-3) * (-6) = 18. The fourth term of the sequence (a(4)) would be equal to (-3) * a(3), which is (-3) * 18 = -54. And so on.

This recursive formula can be used to calculate the nth term of the sequence for any value of n.

The ratio of the plant cell's length to its width is 2:1 (5.8 x 10^-6 m to 2.9 x 10^-6 m).

To calculate the ratio of the plant cell's length to its width, we first need to find the length and width of the cell. The given data states that the length of the cell is 5.8 x 10^-6 m and the width is 2.9 x 10^-6 m. To calculate the ratio, we divide the length by the width. In this example, we divide 5.8 x 10^-6 m by 2.9 x 10^-6 m, which equals 2. Thus, the ratio of the plant cell's length to its width is 2:1.

length / width = 5.8 x 10^-6 m / 2.9 x 10^-6 m = 2

length : width = 5.8 x 10^-6 m : 2.9 x 10^-6 m = 2:1

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The statement 'the effect size for a regression analysis will be equal to the coefficient of determination' is True

In this question we have been given a statement 'the effect size for a regression analysis will be equal to the coefficient of determination'

We need to state whether the given statement is true or false.

We know that the effect size measures the strength of the relationship between two variables on a numeric scale.

And the coefficient of determination(R²) measures how well a statistical model predicts an outcome. It is a number between 0 and 1.

R² is a measure of effect size

Therefore, 'the effect size for a regression analysis will be equal to the coefficient of determination' is True.

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Answer:

Below

Step-by-step explanation:

First one and third one and 4th one are true

Answer:

86

Step-by-step explanation:

I assume the question is [tex] \sum_{n=1}^{7} 2(-2)^{n-1} [/tex]

7: 2(-2)^6 = 128

6: 2(-2)^5 = -64

5: 2(-2)^4 = 32

4: 2(-2)^3 = -16

3: 2(-2)^2 = 8

2: 2(-2)^1 = -4

1: 2(-2)^0 = 2

128 - 64 + 32 - 16 + 8 - 4 + 2 = 86

Answer:

Here is the answer

Step-by-step explanation:

If b to the power x is equal to 7 and b is a positive number, then 7 / b must equal b to the power (x-1).

We can see this by applying the definition of an exponent: b to the power x is equal to b multiplied by itself x times. For example, if b is 2 and x is 3, then 2 to the power 3 is equal to 2 * 2 * 2 = 8.

If we divide both sides of this equation by b, we get:

7 / b = (b * b * ... * b) / b = b * b * ... * b = b to the power (x-1)

Therefore, if b to the power x is equal to 7 and b is a positive number, then 7 / b must equal b to the power (x-1). The answer is therefore a) b to the power (x-1).

Answer:

Although the variables are related, there is not likely a causal relationship. Trees probably do not directly influence test scores as much as other factors that might be related.

Step-by-step explanation:

Answer: False

Step-by-step explanation: This is false because perpendicular mean that 2 lines cross to make a 90 degree angle. If a cross product is 0 the lines never touch meaning its parallel.

Answer:Solutions: x=1.

Step-by-step explanation:

The final answer is 15.

Wish that profited you.

If you need any additional clarification, let me know. :)

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y = [tex]\frac{3}{4} x[/tex] is the relationship between two variables x and y.

from the Table x and y in the ratio 4 : 3

i. e

The equation related to x and y  is :

y = [tex]\frac{3}{4} x[/tex].

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Inverse function of f(x) 8√ x for x > 0 is  f^-1(y)is 8√y for y > 0. The inverse of a function is a function that "undoes" the original function.

In order for a function to have an inverse, it must be one-to-one, meaning that each input value must correspond to a.

if the original function maps input values to output values, the inverse function maps the output values back to the input values.

To find the inverse of the function f(x) = 8√x for x > 0, we can use the following steps:

Replace f(x) with y. This gives us y = 8√x for x > 0.

Replace x with f^-1(y). This gives us f^-1(y) = 8√y.

Solve for y. To solve for y, we can square both sides of the equation:

y^2 = (8√y)^2

y^2 = 64y

y^2 - 64y = 0

y(y - 64) = 0

This equation has two solutions: y = 0 or y = 64. However, the original function is only defined for x > 0, so the inverse function is only defined for y > 0. This means that the inverse function is f^-1(y) = 8√y for y > 0.

Therefore, the inverse of the function f(x) = 8√x for x > 0 is f^-1(y) = 8√y for y > 0.

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The graph of the inequalities x < -8 and x ≥ 3 would be the lines right to 3 in the number line which also includes 3 and the line left to -8 but -8 not included.

Number lines are the graphical representation of numbers on a horizontal straight line where the numbers are placed on equal intervals. We can graph the equations and inequalities of one variable on a number line.

The given inequalities are x < -8 and x ≥ 3.

First let us consider the inequality x < -8.

This means that all the numbers which is less than -8 but does not include -8.

That will be a line tends to left from -8 with an open circle on -8.

Consider the other inequality x ≥ 3.

This includes all the numbers which are greater than 3 and also include the number 3 since the inequality is ≥.

The graph will be a line tends to right from 3 with a closed circle on 3.

Hence the graph of this compound inequality will be a line tends to left with an open circle on -8 and a line tends to right with a closed circle on 3.

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Answer: i did it

Step-by-step explanation: answered the 2nd question aswell, hope this helps someone

Answer:EF to AD

Step-by-step explanation:

Answer:

-1 3/8

Step-by-step explanation:

-2.25 + 0.4x = -2.8

-2.25 + 2.25 + 0.4x = -2.8 + 2.25  ==> add 2.25 on both sides to isolate x

0.4x = -0.55

(0.4x = -0.55)*20 ==> multiply the equation by 20 to remove decimals

8x = -11

x=-11/8

x=-(3+8)/8  ==> turn x into a mixed number

x=-3/8 - 8/8

x=-3/8 - 1 ==> simplify

x=-1 - 3/8

x=-(1 + 3/8)

x=-1 3/8

Answer:

Step-by-step explanation:

The solution is attached to this message.

Answer:

A

Step-by-step explanation:

A user: riyadh65 included the correct answer