Another word for domain or independent variable

its the swcond sorry if its wrong but that what it was for me

Answer:

either one

Step-by-step explanation:

it is going through the origin, so it is going forever in each direction

the rate of change of the radius at the instant the volume equals 36π cm³ is 7 / (36π) cm/sec.

The volume V of a sphere with radius r is given by the formula V = (4/3)πr³. We are given that the rate of change of the volume is 7 cm³/sec. Differentiating the volume formula with respect to time, we get dV/dt =(4/3)π(3r²)(dr/dt), where dr/dt represents the rate of change of the radius with respect to time.

We are looking for the rate of change of the radius, dr/dt, when the volume equals 36π cm³. Substituting the values into the equation, we have: 7 = (4/3)π(3r²)(dr/dt)

7 = 4πr²(dr/dt) To find dr/dt, we rearrange the equation: (dr/dt) = 7 / (4πr²) Now, we can substitute the volume V = 36π cm³ and solve for the radius r: 36π = (4/3)πr³

36 = (4/3)r³

27 = r³

r = 3  Substituting r = 3 into the equation for dr/dt, we get: (dr/dt) = 7 / (4π(3)²)

(dr/dt) = 7 / (4π(9))

(dr/dt) = 7 / (36π)

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the value of f'(1) in the equation is 4.

What is Equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For example, 3x + 5 = 14 is an equation in which 3x + 5 and 14 are two expressions separated by an "equals" sign.

To find f'(1), the first derivative of the function f(x) at x = 1, we'll start by differentiating the given equation:

f(x) + x[f(x)]' = -4x + 10

Let's break down the steps:

Differentiate f(x) with respect to x:

f'(x) + [x(f(x))]' = -4x + 10

Differentiate x(f(x)) using the product rule:

f'(x) + f(x) + x[f(x)]' = -4x + 10

Simplify the equation:

f'(x) + x[f(x)]' + f(x) = -4x + 10

Now, we need to evaluate this equation at x = 1 and use the given initial condition f(1) = 2:

Substituting x = 1:

f'(1) + 1[f(1)]' + f(1) = -4(1) + 10

Since f(1) = 2:

f'(1) + 1[f(1)]' + 2 = -4 + 10

Simplifying further:

f'(1) + [f(1)]' + 2 = 6

Now, we can use the initial condition f(1) = 2 to simplify the equation even more:

f'(1) + [f(1)]' + 2 = 6

f'(1) + [2]' + 2 = 6

f'(1) + 0 + 2 = 6

f'(1) + 2 = 6

Finally, solving for f'(1):

f'(1) = 6 - 2

f'(1) = 4

Therefore, the value of f'(1) is 4.

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Some part of the regression can be estimated precisely, but it is difficult to predict the effect of individual regressors when there is multicollinearity in the data.Multiple regression models require that variables be independent of one another, otherwise, multicollinearity will occur.

Consider the multiple regression model with two regressors X1 and X2, where both variables are determinants of the dependent variable. You first regress Y on X1 only and find no relationship. However when regressing Y on X1 and X2, the slope coefficient changes by a large amount.

This suggests that your first regression suffers from omitted variable bias. Imperfect multicollinearity implies that it will be difficult to estimate precisely one or more of the partial effects using the data at hand. Imperfect multicollinearity means that there is a strong correlation between the regressors, but they are not perfectly correlated.

As a result, some part of the regression can be estimated precisely, but it is difficult to predict the effect of individual regressors when there is multicollinearity in the data.Multiple regression models require that variables be independent of one another, otherwise, multicollinearity will occur.

When there is multicollinearity in the data, it means that two or more of the variables are highly correlated with one another. In other words, the data may contain redundant information, which can make it difficult to estimate the regression coefficients or partial effects.The dummy variable trap refers to a situation in which one of the variables is a perfect linear combination of the other variables.

This results in the model being unsolvable, and the coefficients cannot be estimated. Heteroskedasticity is the term used to describe when the variance of the residuals is not constant across all values of the independent variables. This means that the predictions of the model may be biased, and the standard errors of the coefficients may be incorrect.

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Answer:

Step-by-step explanation:

Commission on sales up to $ 3000 = 1% * 3000 = 0.01 * 3000  =$30

Commission over sales $3000 = 2% * ( 9650 - 3000)

                                                    = 0.02 * 6650 = $ 133

Total earning for a week = 120  + 30 +133 = $ 283

Answer:

Answer is:

$283

Hope it helps some.

Answer: 108

Step-by-step explanation: The equation to find the surface area of a square pyramid is s^2+2*s*l.

The area of the square base is equal to s2

The area of one triangle is equal to (s × l)/2

The slant height of a square pyramid equals (l)

Since there are 4 triangles, the area is 4 × (s × l)/2 equals 2 × s × l

Therefore, the surface area, call it SA is Surface Area (SA)=  s2

 +  2 × s × l

so if you plug in the numbers you get 6^2+2*6*6 which equals 108

Answer:

The Answer is 108 feet squared.

Square Surface Area-

A= LxW

A= 6x6

A= 36

Triangle Surface Area-

A= 1/2 bh

A= 1/2 6x6

A = 1/2×36

A= 18

Since there are 4 Triangle multiple 18×4= 72

so... 72+36= 108

BOOM!! LOL

Answer:

11

Step-by-step explanation:

So if he already biked 25 miles we can subtract 80 and 25 which will get a total of 55. if we divided 55 miles to the rest of the 5 days he will have to bike 11 miles each day

Hello!

\(\large\boxed{y = 5(\frac{1}{2})^{x} }\)

Recall that the equation of an exponential graph is:

\(y = a(b)^{x}\)

We can see from the graph there is a y-intercept at y = 5. Plugging in 0 for x results in:

\(5 = a(b)^{0}\\\\5 = a(1)\\\\a = 5\)

Solve for b by plugging in another point on the graph:

\(10 = 5(b)^{-1}\\\\2 = b^{-1}\\\\b = 1/2\)

Write the final equation:

\(y = 5(\frac{1}{2})^{x}\)

I think your answer is A. Please correct me if I'm wrong. I don't really do a lot of this math.

The library had 102 shelves of books. Each shelf had 14 books. Librarians checked out 807 books to students. how many books does the library have remaining?

627 Books

Let's go through this together.

First, let's figure out how many books are in the library in all

We'll multiply s times b

- S being the shelves

- B being the books per shelf.

102(14) = 1,428

So, there are 1,428 books in the library.

We also know that 801 of the 1,428 books were checked out.

Let's subtract the total number of books by the amount checked out.

1,428 - 801 = 627

Therefore, there are 627 books still in the library after checkout.  

Answer:

4

Step-by-step explanation:

2N - 3 = 5

2N = 5 +3 = 8

N = 8/2 = 4

Answer:

-13

Step-by-step explanation:

3x-5x+10=35

-2x+10=36

-2x=36-10

-2x\-2=26\-2

x=-13

In this problem, we are required to calculate the first quartile of IQ scores, given the following information:Mean (μ) = 99.4Standard deviation (σ) = 21.1First quartile, Q₁ separates the bottom 25% from the top 75%.For normally distributed data, we know that 50% of the data lies on both sides of the mean. Thus, we can divide the remaining 50% into two equal parts, each representing 25%.The first quartile (Q₁) is the score that separates the bottom 25% from the top 75% of the data.To find Q₁, we can use the following formula:Q₁ = μ + z₁ (σ)Here, z₁ represents the z-score associated with the first quartile. We can find this z-score using a standard normal distribution table. From the table, we find that the z-score for the first quartile is approximately -0.67. Substituting this value into the formula, we get:Q₁ = 99.4 + (-0.67) (21.1)≈ 85.34Rounding this to one decimal place, the first quartile is approximately 85.3.IQ score separating the bottom 25% from the top 75% is 85.3.

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Answer:

After 250 messages

Step-by-step explanation:

45+0.25x=70+0.15x

O.25x-0.15x = 70-45

0.10x = 25

X = 25/.10

X = 250 messages

Answer:  x = 13, and the angle measures are 131, 49, 131, 49.

Step-by-step explanation:

7x + 40 = 10x + 1

40 = 3x + 1

39 = 3x

x = 13

The obtuse angle is 131, and the acute one is 49.

Answer: 4.628

Step-by-step explanation:

The probability that the next customer to enter the shop will order a cookie is given as follows:

31/60.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

The outcomes in which a cookie is ordered are given as follows:

Hence the probability is obtained as follows:

3/4 x 1/3 + 2/5 x 2/3 = 1/4 + 4/15 = 15/60 + 16/60 = 31/60.

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The solution to the system of equations is x = 5 and y = -2, or (5,-2) in coordinate form.

An equation is a mathematical statement that shows that two expressions are equal. It is usually written as an expression on the left-hand side (LHS) and an expression on the right-hand side (RHS) separated by an equal sign (=).

The expressions on both sides of the equation can contain variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. The variables in an equation represent unknown values that can vary, while the constants are fixed values that do not change.

Equations are used to represent mathematical relationships or describe real-world situations. They can be used to solve problems, make predictions, and test hypotheses.

To solve an equation, one must find the value of the variable that makes the LHS equal to the RHS. This is done by performing mathematical operations on both sides of the equation to isolate the variable. The goal is to get the variable by itself on one side of the equation, with a specific value on the other side.

Equations can be simple or complex, linear or nonlinear, and can involve one or more variables. Examples of equations include:

2x + 5 = 13

y = 3x^2 - 2x + 7

4a + 2b - 3c = 10

Equations are used in many areas of mathematics and science, including physics, chemistry, and engineering, among others.

Substitute the value of y in the second equation with the expression for y from the first equation:

2x + 3(4x-22) = 4

Simplify and solve for x:

2x + 12x - 66 = 4

14x = 70

x = 5

Substitute the value of x in the first equation to solve for y:

y = 4(5) - 22

y = -2

Therefore, the solution to the system of equations is x = 5 and y = -2, or (5,-2) in coordinate form.

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Answer:

3:5=_____%

Step-by-step explanation:

3:5 equal to 60%

Here, we use the property of multiplication of exponential expression which states when we multiply two exponential expressions with the same base, we keep the base and add the exponents.

Therefore,

\(x^(3+5) = x^8\)

Now,

\(x^(3+5) = x^8\)

is of the form:

\(x^b = x^p\)

When we have two equal expressions on either side of the equation, the power of the base remains the same. Therefore,

p = 8

There we have it. The value of p is 8. The full solution is shown below:

\(x^3 × x^5 \\= x^px^8\\ = x^p\)

We can see that the base of the exponential expression on either side is equal.

Therefore, the power of the base must be equal as well. In other words

,p = 8.

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Answer:

The slope is -4/3 and the y-intercept is 1.

Step-by-step explanation:

The equation is written in y=mx+b form, where m is the slope and b is the y-intercept.

Answer:

Answer is:

Y=-1/3

Explanation....

A theory is a well-established idea that explains how something works in the natural world, while a hypothesis is a tentative explanation of a phenomenon that is yet to be tested and confirmed.In conclusion, a hypothesis is a specific prediction arising from the theory.

A hypothesis can be differentiated from a theory because it is a specific prediction arising from the theory. This statement is true. A hypothesis is a specific prediction that comes from a theory, whereas a theory is a broad explanation for a wide range of phenomena. A hypothesis is an idea or concept that is based on observations and must be testable in order to be accepted as true.A theory, on the other hand, is an explanation of an observed phenomenon that has been rigorously tested and is supported by a large body of evidence. A theory is a well-established idea that explains how something works in the natural world, while a hypothesis is a tentative explanation of a phenomenon that is yet to be tested and confirmed.In conclusion, a hypothesis is a specific prediction arising from the theory.

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The number 459 in the citation 319 N.W. 2d 459 represents the page number where the case or legal opinion can be found in the North Western Reporter, Second Series. The North Western Reporter is a series of case reporters that includes court decisions from various states in the northwestern region of the United States.

In legal citations, the number before the "N.W." indicates the volume number of the reporter. So in this case, "319" refers to the specific volume where the case is located. The abbreviation "N.W." stands for North Western Reporter, which is the name of the reporter series. The number "2d" after "N.W." indicates that this is the second series of the North Western Reporter.

To locate the case within the volume, the number "459" refers to the page number where the case begins. This allows readers, such as lawyers, judges, or researchers, to easily find and reference the specific case within the reporter.

In summary, the number "459" in the citation 319 N.W. 2d 459 represents the page number where the case can be found in the North Western Reporter, Second Series.

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Answer:

Step-by-step explanation:

58%

7/12 into a percentage

Answer:

1. 54ft squared  2. 48 cm squared

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

I am pretty sure it is D because the numbers on the chart don't seem inconsistent. You go from 11 to 2 which would give a big drop so it wouldn't be a linear function.