Write the relation as a set of ordered pairs.a. ordered pairs: {(4, –2), (0, 6), (2, 8)} b. ordered pairs: {(–2, 4), (0, 6), (2, 8)} c. ordered pairs: {(4, –2), (0, 6), (8, 2)} d. ordered pairs: {(–2, 4), (6, 0), (8, 2)}

The linear equation that is solved by both (-6,2) and (0,-4) is y = -x - 4

Using the slope intercept formula for linear equation,

where

m = slope

b = y-intercept

Therefore, lets find m

(-6,2) and (0,-4)

m = -4 - 2 / 0 - (-6) = -6 / 6 = - 1

Lets find b using (0,-4)

y = mx + b

-4 = -1(0) + b

b = -4

There the linear equation in slope intercept form will be as follows

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By reading the question, note that we want to describe the fact that a polynomial functions is symmetric about the y-axis. By symmetric, it means that the y-axis acts like a "mirror". That is, the right side of the graph looks exactly the same as the one on the left. This means that if we take one value for x, then the value of f(x) should be the same as if we take -x and calculate f(-x).

So

if f(x)=f(-x), then the graph of the polynomial function is symmetric about the y-axis.

That is the second option is the correct one.

Answer:18.5

Step-by-step explanation:

Okay if it's a square that means four sides.so you would take 74 divide it by four and get the final answer of 18.5

main answer: the minimum sales price zion sun chairs for each char must be $41.64 to earn a monthly profit of $55,000

supporting answer:

what is profit?

 the amount gained from any business activity When a shopkeeper sells a product, his motivation is to profit from the buyer.

body of the answer:

the total monthly fixed costs are $7363.50 and the variable cost per chair $52.17

the cost price isC(x)=17363.50+52.17*3575

profit function is P(x)=C(x)-s

P(x)=203871.25-3575x

55000=203871.25-3575x

3575x=148871.25

x=41.64

the minimum sales price zion sun chairs for each must be $41.64 to a monthly proft of $55000

final answer: the minimum sales price zion sun chairs for each char must be $41.64 to earn a monthly profit of $55,000

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The minimum sales price zion sun chairs for each char must be $41.64 to earn a monthly profit of $55,000

What is profit?

The amount gained from any business activity When a shopkeeper sells a product, his motivation is to profit from the buyer.

The total monthly fixed costs are $7363.50 and the variable cost per chair is $52.17

The cost price is C(x)=17363.50+52.17*3575

Profit function is P(x)=C(x)-s

P(x) = 203871.25-3575x

55000 = 203871.25-3575x

3575x = 148871.25

x = 41.64

The minimum sales price of zion sun chairs for each must be $41.64 to a monthly profit of $55000

The minimum sales price of zion sun chairs for each char must be $41.64 to earn a monthly profit of $55,000

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The cruising speed of the plane is 468 mph and the speed of the wind is 52mph

To solve this problem, we can use the formula:
distance = rate x time

Let's let "r" be the cruising speed of the plane and "w" be the speed of the wind. Then we can write:

1040 = (r + w) x 2    (since the plane is flying with a tailwind)
1040 = (r - w) x 2.5  (since the plane is flying against the wind)

Now we can solve for r and w. Let's start by solving for r in the first equation:

1040 = 2r + 2w
520 = r + w

Next, let's solve for r in the second equation:

1040 = 2.5r - 2.5w
416 = r - w

Now we have two equations with two variables:

520 = r + w
416 = r - w

We can solve for r by adding the two equations:

936 = 2r
r = 468

Now that we know r, we can solve for w by substituting into either equation:

520 = 468 + w
w = 52

The cruising speed of the plane is 468 mph and the speed of the wind is 52mph

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Answer:

y=-17, x=-8

Step-by-step explanation:

x-9=3x+7

Isolate x for x-9=3x+7;

x-9=3x+7

Add 9 to both sides:

x-9+9=3x+7+9

Simplify;

x=3x+16

Subtract 3x from both sides;

x-3x=3x+16-3x

Simplify;

-2x=16

Divide both sides by -2;

-2x/-2=16/-2

simplify: -2x/-2

=x

Simplify 16/-2:

x=-8

For y=x-9 substitute x=-8;

y=-8-9

Simplify;

y=-17

The solutions to the System of equations are;

y=-17, x=-8

Using the mean concept, it is found that you need at least 40 active minutes on Sunday to achieve your goal.

The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.

In a week, there will be 7 observations, and a bar graph can represent each observation(time in minutes). They are given as follows:

15, 45, 20, 0, 60, 30 and x.

We want the mean to be of 30, hence:

30 = (15 + 45 + 20 + 0 + 60 + 30 + x)/7

170 + x = 210

x = 210 - 170

x = 40.

You need at least 40 active minutes on Sunday to achieve your goal.

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Answer: I’m not for sure but I got 31,212

Step-by-step explanation: You multiply 30000 to 1.02 and then with the 2 and the 10 you divided and get 31,212

The population change between these years is (a) 5358

The population model is given as:

\(\mathbf{P(t) = 30000(1.02)^t}\)

When t = 2, we have:

\(\mathbf{P(2) = 30000(1.02)^2}\)

\(\mathbf{P(2) = 31212}\)

When t = 10, we have:

\(\mathbf{P(10) = 30000(1.02)^{10}}\)

\(\mathbf{P(10) = 36570}\)

The population change is then calculated as:

\(\mathbf{\Delta P = P(10) - P(2)}\)

So, we have:

\(\mathbf{\Delta P = 36570 - 31212}\)

\(\mathbf{\Delta P = 5358}\)

Hence, the population change between these years is (a) 5358

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Answer:

.4%

Step-by-step explanation:

4/6*3/5

224 is maximum number of text messages

Answer:

11/20

Step-by-step explanation:

Answer: For the numerator, we know we have to have a positive number in the expression for ln. Therefore, 0">x−2>0, which means 2">x>2. Combining these, we get the domain of the function is all positive values for x which are greater than 2. In interval notation, this is simply (2,∞).

Step-by-step explanation:

Answer:

73.4%

Step-by-step explanation:

First, find the total number of people:

3605+1306=4911 people

The formula for any probability is:

Part / Whole

3605 respondents out of the total 4911 people say they use a social networking site

3605/4911 = 0.7341

Multiply this by 100 to get a percent

Thus, 73.4%

Answer:

60%

Step-by-step explanation:

its right

If a company’s stock was selling at 35$ a share. a month later it was selling at 14$ a share then the percent of loss is 60%.

percentage, a relative value indicating hundredth parts of any quantity.

Given that a company’s stock was selling at 35$ a share.

After a month later it was selling at 14$ a share.

We need to find the percent of loss.

Original share price=35

new share price=14

We calculate the percentage by finding the difference and dividing the difference with the original share price.

35-14/35

0.6

Now multiply this 0.6 with 100 as it is a hundredth part.

0.6×100

60%

Hence, if a company’s stock was selling at 35$ a share. a month later it was selling at 14$ a share then the percent of loss is 60%.

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Answer:

2x + 25

Step-by-step explanation:

Let that number be x.

Step 1 : Multiply x and 2.

x * 2 = 2x

Step 2 : Add 25 and 2x.

2x + 25

Hence,

25 is added to the product of a number and 2 is 2x + 25.

Answer:

Step-by-step explanation:

Need help too

Using the normal distribution, it is found that:

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

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

The mean and the standard deviation are given, respectively, by:

\(\mu = 65, \sigma = 18\)

We find the percentage for each measure(the p-value of Z when X = measure), then subtract them.

X = 86.6:

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

\(Z = \frac{86.6 - 65}{18}\)

Z = 1.2

Z = 1.2 has a p-value of 0.8849 = 88.49%.

X = 54.2:

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

\(Z = \frac{54.2 - 65}{18}\)

Z = -0.6

Z = -0.6 has a p-value of 0.2743 = 27.43%.

88.49 - 27.43 = 61.06%.

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The speed of the water wave is 2.0 meters per second.

The speed of a wave is calculated by dividing the distance traveled by the time it takes to travel that distance. In this case, the distance traveled by the water wave is 10.0 meters, and the time taken is 5.0 seconds.

To determine the speed, we use the formula:

Speed = Distance / Time

Substituting the given values, we have:

Speed = 10.0 meters / 5.0 seconds = 2.0 meters per second

Therefore, from the given information, we can determine that the speed of the water wave is 2.0 meters per second.

This information about the speed of the water wave is useful for various purposes. It allows us to understand how quickly the wave is propagating through the medium. It also helps in analyzing wave behavior, such as interference, reflection, or refraction, and studying the characteristics of the medium through which the wave is traveling. Additionally, the speed of the wave can be used in calculations involving wave frequencies, wavelengths, and periods.

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The differentials of the given functions are:

dy/dt = (1/2)√(3t) sec^2(√(3t)) dt

dy/dv = -v/2 + v

To find the differential of the function y = tan(sqrt(3t)), we can use the chain rule. Let u = sqrt(3t). Applying the chain rule, we have dy/dt = dy/du * du/dt.

First, we find dy/du by taking the derivative of tan(u), which is sec^2(u). Then, we find du/dt by taking the derivative of sqrt(3t), which is (1/2)√(3t). Multiplying these two derivatives together, we get dy/dt = (1/2)√(3t) sec^2(√(3t)) dt.

To find the differential of the function y = 4 - v^2/4 + v^2, we need to take the derivative with respect to v. The first term, 4, does not depend on v, so its derivative is 0.

For the second term, -(v^2/4), we use the power rule for differentiation. The derivative of v^2 is 2v, and dividing by 4 gives -(v/2).

For the third term, v^2, the derivative is 2v.

Combining these derivatives, we get dy/dv = -v/2 + v.

The differentials of the given functions have been calculated as dy/dt = (1/2)√(3t) sec^2(√(3t)) dt and dy/dv = -v/2 + v. These differentials represent the rate of change of the functions with respect to the respective variables.

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The differential of y = tan(sqrt(3t)) is dy/dt = (1/2)(3t)^(-1/2)(3)(sec^2(sqrt(3t))). The differential of y = 4 - v^2/4 + v^2 is dy/dv = 3v/2.

To find the differential of each function, we will differentiate them with respect to the independent variable.

Let's use the chain rule to differentiate this function.

Therefore, the differential of y = tan(sqrt(3t)) is dy/dt = (1/2)(3t)^(-1/2)(3)(sec^2(sqrt(3t))).

Let's differentiate this function using the power rule and the sum/difference rule for derivatives.

Therefore, the differential of y = 4 - v^2/4 + v^2 is dy/dv = 0 - v/2 + 2v = 3v/2.

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Each of the following events result in a tax payment, an example of a direct tax is D. Javier owes money to the federal government based on job earnings.

A direct tax is one that is paid by an individual or group of individuals directly to the body that levied it. Taxes on assets, real estate, personal property, and income are a few examples that are all paid by an individual taxpayer directly to the government.

Direct taxes are those that you pay to the government directly. You have paid a direct tax, for instance, if you pay income tax, property tax, or capital gains tax. On the other side, an indirect tax is when you make a purchase and someone else subsequently pays the tax on your behalf through a sales tax.

Therefore, option D is correct.

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The total number of tasks Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed

The factor 'x' in the expression '90x - 20' represents the total number of tasks that Terrence completed in the game.

To understand why, let's break down the given information. It states that Shelly and Terrence completed a different number of tasks. Shelly earned 90 points on each task, so the total number of tasks she completed is not represented by 'x'.

On the other hand, Terrence's total points were 20 less than Shelly's total. This means that Terrence's total points can be calculated by subtracting 20 from Shelly's total points. Since Shelly earned 90 points on each task, her total points would be 90 multiplied by the number of tasks she completed.

So, the expression '90x - 20' represents Terrence's total points in the game, where 'x' represents the total number of tasks that Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed, we can calculate his total points.

Therefore, the correct answer is: The total number of tasks Terrence completed.

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Solution

The amount she will have in 3yrs can be calculated as shown below

The answer is 578813 cents

The answer is $5788.125

The critical points of \($f(x)=4\sin^2 x$\) occur where \($f'(x)=8\sin x\cos x=4\sin(2x)=0$\). This occurs when \($x=0$\) or \($x=\frac{\pi}{2}$\) on the interval \($[0,\pi]$\).

To check if these critical points correspond to extrema, we evaluate \($f(x)$\)at the critical points and endpoints:

\($f(0)=4\sin^2(0)=0$\)

\($f\left(\frac{\pi}{2}\right)=4\sin^2\left(\frac{\pi}{2}\right)=4$\)

\($f(\pi)=4\sin^2(\pi)=0$\)

Therefore, the maximum value of \($f$\) is \($4$\) and occurs at \($x=\frac{\pi}{2}$\), while the minimum value is \($0$\) and occurs at $x=0$ and \($x=\pi$\).

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Range: All real numbers greater than or equal to 3. The Option C.

To find the range of the function, we need to determine the set of all possible y-values that the function takes.

Since the line crosses the y-axis at (0, 2), we know that the function's range includes the value 2. Also, since the line turns at (-1, 3), the function takes values greater than or equal to 3.

Therefore, the range of the function is all real numbers greater than or equal to 3.

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Answer:

the answer is 1.0 if u use sin to solve it, thus, u would get 0.9 of which if u round it u will get the answer above

Answer: and Step-by-step explanation:

sin(61) = x/55

55(sin(61)) = x

48.1 = x

Hope this helps!

Answer:

125

An exponent is the number written as a superscript above a number. This is used commonly in mathematics to signify multiplication, or the amount to multiply the number by.

If we look at \(5^{3}\) (Five to the power of 3), we can use this expression to solve for the answer.

Therefore, the answer to \(5^{3}\) is 125.

Answer:

Total budget this year = $ 2000 more than last year. Let x = Budget for this year. Money on entertainment = 0.06x = 2760. ⇒ Budget for this ...

Step-by-step explanation:

The distance from y to the line through u and the origin is 0.8.

From the question, y = \(\left[\begin{array}{ccc}4\\2\end{array}\right]\) and u = \(\left[\begin{array}{ccc}8\\6\end{array}\right]\).

Orthogonal projection is a type of projection used in linear algebra to determine the projection of a vector onto another vector. It is an important tool in mathematics and engineering, as it can be used to calculate the angle between two vectors, the distance between two points, and the projection of a vector onto a plane.

Orthogonal projection formula:

\(\hat{y}=\frac{y.u}{u.u}u\)

y · u = (4, 2) · (8, 6)

y · u = 32 + 12

y · u = 44

u · u = (8, 6) · (8, 6)

u · u = 64 + 36

u · u = 100

\(\hat{y}=\frac{y\cdot u}{u\cdot u}u\)

\(\hat{y}=\frac{44}{100}\begin{bmatrix} 8\\6 \end{bmatrix}\)

\(\hat{y}=\frac{11}{25}\begin{bmatrix} 8\\6 \end{bmatrix}\)

\(\hat{y}=\begin{bmatrix} 88/25\\66/25 \end{bmatrix}\)

From y, the line is at a distance of:

\(\left \| y-\hat{y} \right \|\)

\(y-\hat{y}=\begin{bmatrix} 4\\2 \end{bmatrix}-\begin{bmatrix} 88/25\\66/25 \end{bmatrix}\)

\(y-\hat{y}=\begin{bmatrix} 100/25\\50/25 \end{bmatrix}-\begin{bmatrix} 88/25\\66/25 \end{bmatrix}\)

\(y-\hat{y}=\begin{bmatrix} 12/25\\-16/25 \end{bmatrix}\)

\(\left \| y-\hat{y} \right \|=\sqrt{\left (\frac{12}{25} \right )^2+\left (\frac{-16}{25} \right )^2}\)

\(\left \| y-\hat{y} \right \|=\sqrt{\frac{144}{625}+\frac{256}{625}}\)

\(\left \| y-\hat{y} \right \|=\sqrt{\frac{400}{625}}\)

\(\left \| y-\hat{y} \right \|=\frac{20}{25}\)

As a result, y is 0.8 units away from the line passing through u and the origin.

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The complete question is:

Let y = \(\left[\begin{array}{ccc}4\\2\end{array}\right]\) and u = \(\left[\begin{array}{ccc}8\\6\end{array}\right]\). Compute the distance from y to the line through u and the origin. The distance from y to the line through u and the origin is ________ (Simplify your answer.)

Answer:

c, 4/3

Step-by-step explanation:

you need to isplate y so subtract 5 from both sides then divide both sides by 3, the coefficient of x is now 4/3 and x coefficient is the slope