What is an equation of the line that passes through the points (-7, 3) and (5, 3)?

Answer:

ok what teacher gave you this

Step-by-step explanation:

Answer:

x=$10000

Step-by-step explanation:

sorry if its wrong lol

$800 = $300 +.05(x), x being the amount that must be sold

Subtract 300 from both sides

$500= .05(x)

Divide by .05

We have to find the area of the region between y=x^(1/2) and y=x^(1/3) for 0≤x≤1.

To find the area of the region between y=x^(1/2) and y=x^(1/3) for 0≤x≤1, we have to integrate x^(1/2) and x^(1/3) with respect to x. That is, Area = ∫0¹ [x^(1/2) - x^(1/3)] dx= [2/3 x^(3/2) - 3/4 x^(4/3)] from 0 to 1= [2/3 (1)^(3/2) - 3/4 (1)^(4/3)] - [2/3 (0)^(3/2) - 3/4 (0)^(4/3)]= 0.2857 square units

Therefore, the area of the region between y=x^(1/2) and y=x^(1/3) for 0≤x≤1 is 0.2857 square units. Note: The question  but the answer has been provided in the format requested.

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The final value of the given expressions are:

1) 12√(33)c

2) 8√5 (3√2 + 8√3)

3) 3

4) -12√6

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

1)

√99c . √48c

√(9 x 11)x . √(16 x 3)c

3√11c . 4√3c

12√(11 x 3)c²

12√(33)c

2)

2√(80) ( √18 + 4√12 )

2 √(16 x 5) ( √(9 x 2) + 4√(4 x 3) )

2 x 4√5 ( 3√2 + 8√3 )

8√5 (3√2 + 8√3)

3)

(√2 - √5) . (-√2 - √5)

= -2 - √10 + √10 + 5

= 3

4)

√(48) x -√18

= √(16 x 3) x -√(2 x 9)

= 4√3 x -3√2

= -12√6

Thus,

The value of each of the expresssion is given above.

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The proportion of variability in gross revenue that can be explained by the estimated multiple regression equation is 0.910. Adjusting for the number of independent variables, the proportion of variability that can be explained is 0.858.

R-squared (R2) measures the proportion of variability in the dependent variable that can be explained by the independent variables in the regression model. In this case, R2 is calculated by dividing SSR (sum of squares regression) by SST (total sum of squares): R2 = SSR/SST. Therefore, R2 = 23.395/25.8 = 0.910, which means that 91% of the variability in gross revenue can be explained by the two independent variables (television and newspaper advertising) in the model.

However, as the number of independent variables in the model increases, R2 tends to overestimate the proportion of variability that can be explained by the model. Therefore, an adjusted R2 (Ra2) is used to account for the number of independent variables in the model. Ra2 is calculated by subtracting the residual mean square (MSE) from 1 and multiplying by (n-1)/(n-k-1), where n is the sample size and k is the number of independent variables in the model. Therefore, Ra2 = (1 - MSE/SST) x (n-1)/(n-k-1) = (1 - 1.436/25.8) x (8-1)/(8-2-1) = 0.858, which means that after adjusting for the number of independent variables, 86% of the variability in gross revenue can be explained by the two independent variables in the model.

Therefore, the estimated multiple regression equation is a good fit for the data and can explain a large proportion of the variability in gross revenue, even after adjusting for the number of independent variables in the model

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The result of the given expression is-

\(2^3\left(x-\frac{3}{2}\right)^6\)

The amount of times a quantity is multiplied is referred to as its exponent. Power is defined as a number multiplied by itself a certain number of times.

The number that a number is raised in order to define its power as an entire expression is known as its exponent.

Now, consider the following exponent rule;

\((x y)^m=x^m y^n, x^{m+n}=x^m x^n, \text { and } \frac{1}{x^n}=x^{-n}\)

Now, according to the question, the given expression is;

\(\frac{(2 x-3)^6}{8}\)

Taking 2 common from the numerator;

\(\frac{\left[2\left(x-\frac{3}{2}\right)\right]^6}{8}\)

Now, apply the given exponent rule \((a b)^m=a^m b^m\) in the above equation.

\(\frac{\left[2\left(x-\frac{3}{2}\right)\right]^6}{8}=\frac{2^6\left(x-\frac{3}{2}\right)^6}{8}\)

Apply \(a^{m+n}=a^m a^n\) in the above result.

\(\begin{aligned}\frac{2^6\left(x-\frac{3}{2}\right)^6}{8} &=\frac{2^{(3+3)}\left(x-\frac{3}{2}\right)^6}{8} \\&=\frac{2^3 \cdot 2^3\left(x-\frac{3}{2}\right)^6}{8} \\&=\frac{8 \cdot 2^3\left(x-\frac{3}{2}\right)^6}{8} \\&=2^3\left(x-\frac{3}{2}\right)^6\end{aligned}\)

Therefore, the simplified form of the given expression is \(2^3\left(x-\frac{3}{2}\right)^6\).

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-

The complete question is-

Separate the coefficient from the variable in each expression and write the variable with a negative exponent if it was originally in the denominator.

\(\frac{(2 x-3)^6}{8}\)

Answer:

Do you have a picture?

Step-by-step explanation:

Answer:

what is the math problem?

Step-by-step explanation:

Answer:

4cm

Step-by-step explanation:

Volume of a rectangular prism is V = L x W x H

plug in what we know:

192 = 8 x 6 x H

192 = 48H

divide both sides by 48

H = 4

Answer: -17/12 or -1 5/12 or 1 5/12

Step-by-step explanation:

convert both equations into improper fractions

− 55/12 - (-19/6)

-55/12+19/6

find the common factor of the denominators

-55/12 + 38/12

-17/12

-1 5/12

Answer:

A.)=24.78

B.)=26

C.)=7.33

D.)=25.44

Step-by-step explanation:

A.)11.40+13.38=24.78

B.)11+15=26

C.)4.18+3.15=7.33

D.)10.92+14.52=25.44

Answer:

D

Step-by-step explanation:

Using the Sine rule to find a and b

We require to find ∠ C

∠ C = 180° - (115 + 43)° = 180° - 158° = 22°

Then

\(\frac{a}{sinA}\) = \(\frac{c}{sinC}\) , substitute values

\(\frac{a}{sin43}\) = \(\frac{6}{sin22}\) ( cross- multiply )

a × sin22° = 6 × sin43° ( divide both sides by sin22° )

a = \(\frac{6sin43}{sin22}\) ≈ 10.92 ( to 2 dec. places )

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

\(\frac{b}{sinB}\) = \(\frac{c}{sinC}\) , that is

\(\frac{b}{sin115}\) = \(\frac{6}{sin22}\) ( cross- multiply )

b × sin22° = 6 × sin115° ( divide both sides by sin22° )

b = \(\frac{6sin115}{sin22}\) ≈ 14.52 ( to 2 dec. places )

The area of the remaining paperboard = 644.67in²

The length of the rectangular paperboard = 35 in

The width of the rectangular paperboard = 26 in

Area = Length x Width

The area of the rectangular paperboard = 35 x 26

The area of the rectangular paperboard = 910 in²

The diameter of the semicircle cut, d = 26 in

Area of a semicircle = πd²/8

where π = 3.14

The area of the semicircle cut = (3.14 x 26²)/8

The area of the semicircle cut = 265.33 in²

The area of the remaining paperboard = (Area of the rectangular paperboard) - (Area of the semicircular cut)

The area of the remaining paperboard = 910in² - 265.33in²

The area of the remaining paperboard = 644.67in²

The width of the original piece of sheet metal is (w^2 - l^2)/(3w + 3l), and the length is (l^2 - w^2)/(3w + 3l).

To solve this problem, we can use the formula for the volume of a rectangular box, which is V = lwh, where l is the length, w is the width, and h is the height.

First, let's find the height of the box. Since we cut squares from each corner, the height of the box is the length of the square that was cut out. Let's call this length x.

The width of the box is the original width minus the lengths of the two squares that were cut out, which is w - 2x.

Similarly, the length of the box is the original length minus the lengths of the two squares that were cut out, which is l - 2x.

Now we can write the volume of the box in terms of x, w, and l:

V = (w - 2x)(l - 2x)(x)

Expanding this expression, we get:

V = x(4wl - 4wx - 4lx + 8x^2)

Simplifying further:

V = 4x^3 - 4wx^2 - 4lx^2 + 4wlx

To find the dimensions of the original piece of sheet metal, we need to maximize this volume. We can do this by taking the derivative of the volume with respect to x and setting it equal to zero:

dV/dx = 12x^2 - 8wx - 8lx + 4wl = 0

Solving for x, we get:

x = (2wl)/(3w + 3l)

Now we can use this value of x to find the width and length of the original piece of sheet metal:

w - 2x = w - 2(2wl)/(3w + 3l) = (w^2 - l^2)/(3w + 3l)

l - 2x = l - 2(2wl)/(3w + 3l) = (l^2 - w^2)/(3w + 3l)

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To find the line of best fit on a table, you can use a technique called linear regression.

Linear regression helps determine the relationship between two variables and allows you to create a line that represents the best fit for the data points.

Drawing a straight line on a scatter plot with nearly equal numbers of points above and below it (and passing through as many points as feasible) can allow you to roughly estimate the line of best fit.

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Answer:

See Explanation

Step-by-step explanation:

The question is incomplete because the coordinates of A, B and C were not given in the question.

However, the following explanation will guide you...

The midpoints, C of two point A and B is calculated as:

\(C(x,y) = (\frac{x_1 + y_1}{2}, \frac{y_1 + y_2}{2})\)

Where \((x_1, y_1)\) are the coordinates of A

and

\((x_2,y_2)\) are the coordinates of B

Take for instance, the given coordinates are

A(4,6); B(2,4) and C(3,5)

Then;

Plug in these values in the given formula:

\(C(x,y) = (\frac{x_1 + y_1}{2}, \frac{y_1 + y_2}{2})\)

\((3,5) = (\frac{4 + 2}{2}, \frac{6 + 4}{2})\)

\((3,5) = (\frac{6}{2}, \frac{10}{2})\)

\((3,5) = (3,5)\)

In that case,

C is really the midpoint

To the b part: Explaining why ratio 1:1 is used

The reason is that both parts of the ratio are in equal proportion (1 and 1);

Because of this equal proportion, ration 1:1 is right to calculate the midpoint

The equation of this graphed line is equal to y = -9x/8 + 7.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (-2 - 7)/(8 - 0)

Slope (m) = -9/8

At data point (0, 7) and a slope of -9/8, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 7 = -9/8(x - 0)

y - 7 = -9x/8

y = -9x/8 + 7

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Answers and Step-by-step explanation:

a. The independent variable is the variable being manually changed by the experimenter. The dependent variable is the variable being affected by the independent variable. X (members joining the fitness club) is the independent variable. Y (total monthly cost) is the dependent variable.

b. The domain is 6, because x is always the domain. The range is 77, because Y is always the range. You plug in 6 (the domain which is x), and get 77.

c. Yes, this relation is a function. Relations are only not functions when one singular input (domain) goes to 2 outputs (range).

    A domain can not have multiple ranges. A range can have multiple domains though.

The y is the dependent variable and the x is the independent variable, in the equation y = 7x + 35, The domain is 6 and the range is 77 for the given equation. Yes, it is a function.

In other terms, it is a mathematical statement stating that "this is equivalent to that." It appears to be a mathematical expression on the left, an equal sign in the center, and a mathematical expression on the right.

Given:

y = 7x + 35, x members joining the fitness club and y is cost.

(a) As you can see from the equation, y depends on the value of x,

(b) Calculate the amount of x = 6 (as given)

y = 7 × 6 + 35

y = 42 + 35

y = $77

The domain of the function is 6 and the range is 77.

(c) Yes, as we put the values in x, y also changes, so it is a function.

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Answer:

Step-by-step explanation:

From the given information:

The ratio of the limiting floor area to lot area is 0.60 to 1

i.e.

= 0.60 : 1

For instance, let's take that the remodel size as p sq.ft on 1140 sq.ft

Then, the ratio = \(\dfrac{p}{11400}\)

The proportion of these equations is as follows:

\(\dfrac{p}{11400} = \dfrac{0.60}{1}\)

\(p \times 1 = 11400 \times 0.60\)

\(p = 11400 \times \dfrac{60}{100}\)

\(p =\dfrac{ 11400 \times 60}{100}\)

\(p =\dfrac{ 114 \times 100 \times 60}{100}\)

\(p = 114 \times 60\)

p = 6840 sq ft

Thus, the maximum allowable size of a remodeled house is 6840 sq.ft

b.

Recall that, the size of the home remodeled by limiting floor to lot area is

0.60:1

Then the proportion equation form is as follows:

\(\dfrac{0.60}{1}= \dfrac{5040}{x}\)

By cross multiplying

\(0.60 \times x = 5040 \times 1\)

\(x = \dfrac{5040 \times 1}{0.60 }\)

\(x = \dfrac{5040 \times 100}{60 }\)

\(x = \dfrac{84 \times 60 \times 100}{60 }\)

\(x =84 \times 100\)

x = 8400 sq.ft

Hence, the size of lot area is 8,400 sq.ft

The two column proof is written as follows

Statement                                                           Reason

line LQ || Line NP                                   given

< Q is congruent to < N                         Alternate interior angles

< L is congruent to < P                           Alternate interior angles

< LMQ is congruent to < PMN               Vertical angle theorem

Δ LMQ similar Δ PMN                            Definition of similar triangles

Similar triangles are triangles that have the same shape but may differ in size. In other words, they have the same angles but their sides may be of different lengths.

If two triangles are similar, it means that their corresponding angles are equal, and their corresponding sides are in proportion to each other.

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Answer:

4 foot

Step-by-step explanation:

divide by 12

f(7, 1) = 7(7) - 4(1) = 49 - 4 = 45

f(7.1, 1.05) = 7(7.1) - 4(1.05) = 49.7 - 4.2 = 45.5

ΔZ = f(7.1, 1.05) - f(7, 1) = 45.5 - 45 = 0.5

Using the total differential dz to approximate ΔZ, we have:

dz = ∂f/∂x * Δx + ∂f/∂y * Δy

Let's calculate the partial derivatives of f(x, y) with respect to x and y:

∂f/∂x = 7

∂f/∂y = -4

Now, let's substitute the values of Δx and Δy:

Δx = 7.1 - 7 = 0.1

Δy = 1.05 - 1 = 0.05

Plugging everything into the equation for dz, we get:

dz = 7 * 0.1 + (-4) * 0.05 = 0.7 - 0.2 = 0.5

Therefore, using the total differential dz, we obtain an approximate value of ΔZ = 0.5, which matches the exact value we calculated earlier.

In the given function f(x, y) = 7x - 4y, we need to find the values of f(7, 1) and f(7.1, 1.05) first. Substituting the respective values, we find that f(7, 1) = 45 and f(7.1, 1.05) = 45.5. The difference between these two values gives us ΔZ = 0.5.

To approximate ΔZ using the total differential dz, we need to calculate the partial derivatives of f(x, y) with respect to x and y. Taking these derivatives, we find ∂f/∂x = 7 and ∂f/∂y = -4. We then determine the changes in x and y (Δx and Δy) by subtracting the initial values from the given values.

Using the formula for the total differential dz = ∂f/∂x * Δx + ∂f/∂y * Δy, we substitute the values and compute dz. The result is dz = 0.5, which matches the exact value of ΔZ we calculated earlier.

In summary, by finding the exact values of f(7, 1) and f(7.1, 1.05) and computing their difference, we obtain ΔZ = 0.5. Using the total differential dz, we approximate this value and find dz = 0.5 as well.

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Answer:

im not sure

Step-by-step explanation:

hdjdjdjdjdakaksks ask endnkd. edjnddmdk dog six

Answer:

5, last option

Step-by-step explanation:

Sides to be calculated are equal as both are opposite same angles, are adjacent to common hypotenuse of right triangles

Step-by-step explanation:

5x + 2y = 10

Ax + By = C

A = 5

B = 2

C = 10

The slope of the linear equation 5x + 2y = 10 will be negative 5/2.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Consider the line represented by the equation 5x + 2y = 10.

The equation in standard form is given as,

Ax + By = C

Convert the equation into slope-intercept form. Then we have

Ax + By = C

By = -Ax + C

y = -(A/B)x + C/B

The slope of the equation is given as,

m = - A/B

m = - 5 / 2

The slope of the linear equation 5x + 2y = 10 will be negative 5/2.

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Answer:4 answer

Step-by-step explanation:

The number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

Specify the correct number from the list below that corresponds to the appropriate null and alternative hypotheses for this problem.

It should be noted that the null hypothesis suggests that there's no statistical relationship between the variables.

The alternative hypothesis is different from the null hypothesis as it's the statement that the researcher is testing.

In this case, the number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

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Answer:

4800 students

Step-by-step explanation:

120x40=4800students

4800 can sit in the class

The probability of drawing an ace and a queen from a pack of cards without replacement is 1/78. This can be explained as follows:

In a standard pack of 52 cards, there are 4 aces and 4 queens. When two cards are drawn without replacement, the probability of drawing an ace and then a queen is 4/52 x 3/51 = 12/2652. This can be simplified to 1/78.

Without replacement means that the card that is drawn is not replaced in the deck before the next card is drawn. In this case, when the first card is an ace, there are only 3 queens left in the deck so the probability of the second card being a queen is 3/51.

To put it another way, the chances of drawing an ace and a queen when the cards are drawn without replacement can be thought of as a ratio of the favorable outcomes to the total number of possible outcomes. There is only one favorable outcome (ace-queen) out of a total of 78 possible outcomes (4 aces and 4 queens combined with the remaining 44 cards). Thus, the probability of drawing an ace and a queen is 1/78.

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Answer:

84.1% of all values in a normal distribution have z ≤ 1.00.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

The percent of all values in a normal distribution for which z ≤ 1.00.

This is the pvalue of Z = 1.

Z = 1 has a pvalue of 0.8413.

Converting to percentage, to the nearest tenth.

84.1% of all values in a normal distribution have z ≤ 1.00.

If the total sales are $125.50 and the sales tax rate is 6.25%, the amount of sales tax paid is $7.84.

Sales taxes are levied by the government on the acquisition of products and services. It is often calculated as a percentage of the selling price and is added to the total price the buyer pays.

You can figure out how much sales tax was paid using the formula below if the total sales were $125.50 and the sales tax rate was 6.25%:

Sales tax rate = 6.25% = 6.25/100 = 0.0625

Sales tax amount = Total sales amount × Sales tax rate

Sales tax amount = $125.50 x 0.0625

Sales tax amount = $7.84

Therefore, the amount of sales tax paid is $7.84.

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The complete question is,

If the total sales is $125.50 and sales tax rate is 6.25%. Find sales tax amount​.

Hence, in answering the stated question, we may say that As a result, the  equation son's current age is x = 10, while the father's current age is 4x = 40.

A math equation is a process that relates two statements by using the equals sign (=) to indicate equivalence. In algebra, an equation is a mathematical statement that proves the equality of two mathematical expressions. In the equation 3x + 5 = 14, for example, the equal sign separates the numbers 3x + 5 and 14. A mathematical formula can be used to understand the link between the two sentences written on opposite sides of a letter. Frequently, the logo and the software are the same. For example, 2x - 4 = 2.

\(x + 14 = 2(x + 4)\\x + 14 = 2x + 8\sx = 6\)

As a result, the brother's current age is x = 6, while the boy's current age is x + 10 = 16.

If x is the age of the son, then the father's age is 4x. In 20 years, the son will be x + 20 years old, while the father will be 4x + 20 years old. Because the father will be double his son's age in 20 years:

\(4x + 20 = 2(x + 20)\)

Expansion and simplification:

\(4x + 20 = 2x + 40\\2x = 20\sx = 10\)

As a result, the son's current age is x = 10, while the father's current age is 4x = 40.

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