Which of the following statements best describes the effect of replacing the graph of y = f(x) with the graph of y = f(x − 2)? (4 points)


The graph of y = f(x) will shift left 2 units.


The graph of y = f(x) will shift right 2 units.


The graph of y = f(x) will shift up 2 units.


The graph of y = f(x) will shift down 2 units.

Answer:

The circumference is:

\(C=84.8\: cm\)

Step-by-step explanation:

The pizza is a circle, so the circumference equation is given by:

\(C=2\pi R\)

Where:

Therefore, the circumference is:

\(C=2\pi*13.5\)

\(C=84.8\: cm\)

I hope it helps you!

To evaluate the given integral using Green's theorem, we need to express it in the flux form.  The result of the integral is -r/6.

Green's theorem states that for a region R bounded by a simple closed curve C, the flux of the vector field F = (P, Q) across C is equal to the double integral of the curl of F over R.

In this case, we have the vector field F = (r^2xy, 1/2y^3), where r is the position vector (x, y).

The flux form of Green's theorem is:

\(∫∫R (curl F) · dA = ∫∫R (∂Q/∂x - ∂P/∂y) dA\)

Let's calculate the curl of F:

∂Q/∂x = 0

∂P/∂y = 2rxy

So, the curl of F is given by\((∂Q/∂x - ∂P/∂y) = 0 - 2rxy = -2rxy.\)

Now, let's evaluate the integral using the flux form of Green's theorem:

∫∫R (-2rxy) dA

Since the region R is a triangle with vertices (0,0), (1,0), and (0,1), we can express it as:

\(R = {(x, y) | 0 ≤ x ≤ 1, 0 ≤ y ≤ 1 - x}\)

Now, we can rewrite the integral:

\(∫₀^(1-x) (-2rxy) dy = -2rxy²/2 ∣₀^(1-x) = -rxy² ∣₀^(1-x) = -r(x-x²)\)

Let's evaluate the inner integral first:

\(∫₀^(1-x) (-2rxy) dy = -2rxy²/2 ∣₀^(1-x) = -rxy² ∣₀^(1-x) = -r(x-x²)\)

Now, evaluate the outer integral:

\(∫₀¹ -r(x-x²) dx = -r(x²/2 - x³/3) ∣₀¹ = -r(1/2 - 1/3) = -r(3/6 - 2/6) = -r(1/6) = -r/6\)

Therefore, the result of the integral is -r/6.

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The correct option is B. The Wolverines' distribution is negatively skewed, but the Panthers' distribution is symmetric.

Data is symmetric if the median is in the mid of the box plot and the box is mid to the line connecting both whiskers.

The box plot showing scores for the Panthers basketball team has the median shown by a vertical line dividing the box into 2 equal halves.

Also, both whiskers on either side are relatively equal which shows that the data set for bulldogs is symmetric.

On the other side, the box plot for wolverine shows the median closer to the upper quartile.

That shows that the data set for team Wolverines' distribution is negatively skewed.

The correct option is B. The Wolverines' distribution is negatively skewed, but the Panthers' distribution is symmetric.

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Answer:

y = 63 Degrees

bottom x = 117 Degrees

x = 63 Degrees

Step-by-step explanation:

I'm going off from what I think is right but It can very well be wrong.  Since it seems to be a supplementary angle, you take 180-117 to get the angles of y and since 117 and bottom x are vertical to each other, they should be the same Degree

Answer:

Step-by-step explanation:

nai dunga

Answer:

D : $105

Step-by-step explanation:

I use Proportional Reasoning.

part    percent

whole   100  is the formula.

We are looking for the part so we will keep that as "x"

x       35

300   100

100 x 3 is 300. So 35 x 3 is 105. Thats the answer!

Answer:

7.62

Step-by-step explanation:

length* width* height = 3/2*1/2*4=7.62 cm

The question asks about the recovery time for a randomly selected patient from a surgical procedure. This recovery time follows a normal distribution with a mean of 4 days and a standard deviation of 1.9 days.

To answer questions about probabilities or specific values of the recovery time, we can use the properties of the normal distribution.

Standardize the variable: Convert the recovery time value (X) into a standard score or z-score using the formula: z = (X - μ) / σ, where μ is the mean and σ is the standard deviation.

Use the standard normal distribution table or a calculator to find the corresponding probability or value associated with the standardized z-score.

For example, if you want to find the probability that a randomly selected patient has a recovery time less than a certain number of days (X), you would calculate the z-score, look up the corresponding probability in the standard normal distribution table, and round the answer to four decimal places.

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On average, a customer spends approximately 1.16 minutes waiting time on hold before they can start speaking to a representative.

To find the average waiting time for a customer on hold before they can start speaking to a representative, we need to consider both the arrival rate of calls and the average service time of the staff members.

Given:

9 staff members taking calls.

On average, one call arrives every 5 minutes (standard deviation of 5 minutes).

Each staff member spends on average 18 minutes with each customer (with a standard deviation of 27 minutes).

To calculate the average waiting time, we need to use queuing theory, specifically the M/M/c queuing model. In this model:

"M" stands for Markovian or memoryless arrival and service times.

"c" represents the number of servers.

In our case, we have an M/M/9 queuing model since we have 9 staff members.

The average waiting time for a customer on hold is given by the following formula:

Waiting time = (1 / (c * (μ - λ))) * (ρ / (1 - ρ))

Where:

c = number of servers (staff members) = 9

μ = average service rate (1 / average service time)

λ = average arrival rate (1 / average interarrival time)

ρ = λ / (c * μ)

First, let's calculate the average arrival rate (λ):

λ = 1 / (average interarrival time) = 1 / 5 minutes = 0.2 calls per minute

Next, calculate the average service rate (μ):

μ = 1 / (average service time) = 1 / 18 minutes = 0.0556 customers per minute

Now, calculate ρ:

ρ = λ / (c * μ) = 0.2 / (9 * 0.0556) ≈ 0.407

Finally, calculate the waiting time:

Waiting time = (1 / (c * (μ - λ))) * (ρ / (1 - ρ))

= (1 / (9 * (0.0556 - 0.2))) * (0.407 / (1 - 0.407))

≈ 1.16 minutes

Therefore, on average, a customer spends approximately 1.16 minutes waiting on hold before they can start speaking to a representative.

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Answer:

. JUST LOAD

Step-by-step explanation:

the line segment after a 90 counterclockwise rotation about the origin is attached accordingly.

A rotation is a sort of transformation  that rotates each point in a figure a specific number of degrees around a particular  point.

To do a 90-  degree counterclockwise rotation about  the origin, we can use the following rotation  formula

x ' = x *  cos( θ) - y * sin(θ)

 y' =  x * sin(θ )+ y * cos( θ)

where   (x, y) are the original coordinates and (x ', y') are the coordinates after the rotation.

Applying this

For   point A (- 5, -3) we have

x' = (-5) * cos(90°) - ( -3) * sin(90 °) = 3

y' = (-5) * sin(90°)+ (-3) * cos(90°) =  -5

So the new coordinates after the 90-degree counterclockwise rotation about the origin for point A are (3, -5).

 point B (1  , -2)

x' =  (1 ) * cos(90°) - (-2) * sin(90°) = 2

y ' = (1 ) * sin ( 90°) + ( - 2) * cos (90 °) = 1

So the new coordinates after the 90-degree counterclockwise rotation about the origin   for point B are (2, 1).

The line segment after a 90-degree counterclockwise rotation about the origin would connect point A' (3, -5) to point B' (2, 1).

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Answer:

close countess

Step-by-step explanation:

remember that the sign has to be postive so just change all the signs ,  then,   you'll have a leading coefficient of  +1,  in front of the \(x^{2}\),  the 5 is in front of the 2nd term,  they were just trying to trick you with that.   the last answer is good     :)

Answer:

b 16.4 ft

Step-by-step explanation:

To solve this problem using a graphing calculator, we need to plug in the value of q (which is given as 7) into the equation y = 2 csc e, and then graph the resulting equation.

First, we need to convert the angle e from degrees to radians, because the csc function takes its input in radians. We can use the conversion formula:

radians = degrees x (π/180)

So for e = 2, we have:

e (in radians) = 2 x (π/180) = 0.0349 radians

Now we can plug this value into the equation y = 2 csc e:

y = 2 csc(0.0349) ≈ 103.8 feet

This tells us that the length of the rafters needed to make the roof is approximately 103.8 feet. However, the question asks us to round to the nearest tenth of a foot, so the answer is:

y ≈ 103.8 feet ≈ 103.8 rounded to the nearest tenth of a foot

Therefore, the length of the rafters needed to make the roof for q 7" is approximately 103.8 feet, rounded to the nearest tenth of a foot.

So the correct answer is (b) 16.4 feet.

Using the graphing calculator, we find that the length of the rafters needed is approximately 16.4 feet, Therefore, the correct answer is option B, 16.4 feet.

To find the length of the rafters needed for the roof with an angle of 7 degrees, we'll use the given function y = 2 * csc(e), where e is the angle formed by the rafters and the top of the wall. Here's a step-by-step explanation:

1. Convert the angle from degrees to radians: e (in radians) = (7 degrees * π) / 180 ≈ 0.1222 radians.

2. Calculate the cosecant  (csc) of the angle e: csc(0.1222) ≈ 8.185.

3. Plug the value of csc(e) into the function: y = 2 * 8.185 ≈ 16.37.
Using a graphing calculator, we can input the function y = 2 csc e and graph it. Then, we can use the given angle of 2 to find the length of the rafters needed for a roof with a peak of 7 feet.

4. Round the length to the nearest tenth of a foot: 16.37 ≈ 16.4 feet.
When we graph the function, we can see that the length of the rafters is the distance between the x-axis and the point on the graph where y = 7.
So, the length of the rafters needed to make the roof for an angle of 7 degrees is approximately 16.4 feet (Option b).

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Using the given equations and the fact that A, B, C, D, E, and F are greater than zero, we can set the following inequalities:

Therefore, C is greater than 2 numbers of the list and smaller than 2 numbers on the list, then C could be 3 or 4.

Substituting the first equation in the third equation we get:

Therefore:

Since F is an integer greater or equal than 1 and smaller or equal than 6, necessarily F=6.

Now, If C=3, from the third equation we get that E=3, which is false because the 6 letters represent different numbers. Therefore C=4.

Answer: C represents 4.

Answer:33,056

Step-by-step explanation:i dont know jut put this answer

To obtain 80 number of gallons of a mixture that contains 70% pure antifreeze, you must use 56 gallons of the 60% pure antifreeze and 24 gallons of the 85% pure antifreeze.

1. Calculate the total amount of antifreeze needed to make 80 gallons of the 70% mixture.

80 gallons x 0.7 = 56 gallons of antifreeze

2. Calculate the amount of 60% pure antifreeze needed.

56 gallons x 0.6 = 33.6 gallons of 60% pure antifreeze

3. Calculate the amount of 85% pure antifreeze needed.

56 gallons x 0.85 = 47.6 gallons of 85% pure antifreeze

4. Subtract the amount of 60% antifreeze from the total amount of antifreeze needed to determine the amount of 85% antifreeze needed.

56 gallons - 33.6 gallons = 22.4 gallons of 85% pure antifreeze

5. Round the amounts to the nearest whole number.

33.6 gallons of 60% pure antifreeze and 24 number of gallons of 85% pure antifreeze.

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To answer this question we will use the following property of logarithms:

Dividing the given equation by 4 we get:

Simplifying the above result we get:

Applying the natural logarithm we get:

Applying the property of logarithms we get:

Therefore:

Answer: Option D.

The likelihood that the number is 3 or 5 is 0.47.

A probability is a numerical representation of the possibility or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

There are 15 identical spaces. Once the spinner has been spun,

Probability is determined by dividing the number of potential outcomes by the number of possible positive outcomes.

5 times: 5, 10, and 15

3 times, 6, 9, 12, and 15.

Different results (3, 5, 6, 9, 10, 12, and 15) (stop doing them).

a variety of successful results 7

3) There are 15 possible outcomes.

4) Probability is equal to 7/15, or 0.47

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To solve the problem we must know about the equation of a circle and complex numbers.

Radius² = (Distance between the center and any point on the circle)²

Radius = \(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Complex Number, z = (x +iy)

Another point that will lay on the same circle is (12 + 10i).

Given to us

Solution

We know that equation for a circle can be written as,

Radius of the Circle

= √(Distance between the center and any point on the circle)²

Radius of the Circle = √[4-19]²+[-5 -(-13)]²

                                 = √[-15]²+[8]²

                                 = √225 + 64

                                 = √225 + 64

                                 = √289

                                 = 17

Now compare the distance between the center of the circle and the points.

A.)  –11 –3i

Distance between the center and point on the circle

= √[4-(-11)]² + [-5 - (-3)]²

= √[15]² + [-2]²

= √225 + 4

= √229

B.)  –4. 5+3. 5i

Distance between the center and point on the circle

= √[4-(-4.5)]² + [-5 - (3.5)]²

= √[9.5]² + [-8.5]²

= √90.25+ 72.25

= √162.5

C.)  12 + 10i

Distance between the center and point on the circle

= √[4-(12)]² + [-5 - (10)]²

= √[-8]² + [-15]²

= √64+ 225

= √289

= 17

D.)  21 + 12i.

Distance between the center and point on the circle

= √[4-(21)]² + [-5 - (12)]²

= √[17]² + [-17i]²

= √289+ 289

= √578

Hence, another point that will lay on the same circle is (12 + 10i).

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Answer:

The last option -2

Step-by-step explanation:

It's the rise and run so it went down -2 and over one so -2/1 is basically -2

Hope this helps!

Answer: 4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

its easy

its easy

Answer:

Matthew drank 4 more glasses of water than Nicole: equation

Four more glasses of water than Nicole: expression

Step-by-step explanation:

We can model "Matthew drank 4 more glasses of water than Nicole" as an equation as follows:

\(m=n+4\)

However, "Four more glasses of water than Nicole" is only an expression. It doesn't include an equality.

supersciencestudy is correct, an equation must include an equality.

Answer:

7 by 11

Step-by-step explanation:

Let's assume that the length of the rectangular patio is "l" meters and the width is "w" meters.

According to the problem statement, the perimeter of the patio is 36 meters, so we can set up the equation:

2l + 2w = 36

Simplifying this equation by dividing both sides by 2, we get:

l + w = 18

We also know that the area of the patio is 77 square meters, so we can set up another equation:

lw = 77

We now have two equations in two variables, and we can use them to solve for l and w.

From the first equation, we can solve for one variable in terms of the other:

w = 18 - l

Substituting this expression for w into the second equation, we get:

l(18 - l) = 77

Expanding the left-hand side, we get a quadratic equation:

18l - l^2 = 77

Rearranging and simplifying, we get:

l^2 - 18l + 77 = 0

This quadratic equation can be factored as:

(l - 7)(l - 11) = 0

Therefore, the solutions are l = 7 or l = 11.

If l = 7, then w = 18 - l = 11, and the dimensions of the patio are 7 meters by 11 meters.

If l = 11, then w = 18 - l = 7, and the dimensions of the patio are 11 meters by 7 meters.

Therefore, the dimensions of the patio are either 7 meters by 11 meters or 11 meters by 7 meters.

The P-value is greater than a, which means we should not reject the null hypothesis.

Therefore, Fail to reject the null hypothesis.

As per the given data,

We need to find out that should Nancy reject or fail to reject the null hypothesis given the sample data ?

According to the above stated question,

it is given that,

Nancy is an economist who would like to make the claim that the average weekly grocery budget for households in a  u.s. city is less than $253.

No. of households in which Nancy take samples in the same city is 18.

Nancy obtains a sample mean of $229.60.

Nancy spent on groceries per week at the 2.5% significance level.

Now, according to the given above stated information:

The null and alternative hypotheses are

\(H_{0} =\) μ = 253

\(H_{a}=\)μ <253

Thus, this is a left-tailed test.

The significance level, \(\alpha\) = 0.05

The test statistic is t = - 0.75

The sample size, n = 18

The degrees of freedom is given by:

degrees of freedom=n - 1

Now, putting value of n we get:

=n - 1

= 18 - 1 = 17

P-value = P(\(t_{17}\) < - 0.75) = 0.2318

Therefore, the P-value is greater than a, which means  we should not reject the null hypothesis.

Fail to reject the null hypothesis.

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Nancy, an economist, would like to make the claim that the average weekly grocery budget for households in a small U.S. city is less than $253. Nancy samples 18 households in the same city and obtains a sample mean of $229.60 spent on groceries per week.

At the 2.5% significance level, should Nancy reject or fail to reject the null hypothesis given the sample data below?

Use the graph below to select the type of test (left, right-, or two-tailed).

Then set the a and the test statistic to find the p-value. Use the results to determine whether to reject or fail to reject the null hypothesis.

Answer:

\(x=77\)

Step-by-step explanation:

103 -x + 2x = 180

Answer: D. as a total number of family member increases the amount of money that the family spends on food increases

Step-by-step explanation:

i.e. independent variable acts like a cause to effect the dependent variable.

This can be seen only in Option D. as it is very obvious that increase in family member will increase the cost of food.

Hence, there is direct effect of number of people on food's cost.

Rest of options represents correlation but not causation .

Hence, the correction option is D.

Applying the distributive property, the solutions are given as follows:

1. No solution.

2. r = -2.

3. p = -7.

4. m = 0.

5. a = -7.

6. n = 1.

7. v = 1.

8. x = All real values.

The distributive property is used when the outside term multiplies each of the inside terms, then if necessary, the like terms are used.

For this problem, the property is used to isolate the variables and find the desired result of the expressions.

6x + 1 = -6(1 - x)

6x + 1 = -6 + 6x

0x = -7

No solution. (division by 0).

4(3r + 4) = -8(2r + 5)

12r + 16 = -16r - 40

28r = -56

r = -2.

11 + 2p = p + 4

p = -7.

2(-6m - 3) = 6(5m - 1)

-12m - 6 = 30m - 6

42m = 0

m = 0.

-3 + 5a = 4a - 10

a = -7.

-16 + 3n = -8 - 5n

8n = 8

n = 1.

-22 + 8v = 7(4v - 6)

-22 + 8v = 28v - 42

20v = 20

v = 1.

3(2x - 4) = 2(3x - 6)

6x - 12 = 6x - 12

0 = 0

x = All real values.

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The linear speed of one of the cars is 7.75 feet per second

The cars (seats) of a Ferris wheel are positioned 74 feet from its center.

The radius, r = 74 feet

The Ferris wheel makes 4 revolutions every 4 minutes

Number of revolutions per minute = 1

Angular speed, w = 1 rev/min

Angular speed, w = 0.10472 rad/sec

The relationship between the linear speed (v), and the angular speed (w) is:

v  =  wr

Substitute w = 0.10472  and r = 74 feet into the formula:

v  =  0.10472  x  74

v  =  7.75 feet per second

The linear speed of one of the cars is 7.75 feet per second

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==========================================================

Explanation:

The term "zero" is the same as "root".

The root of f(x) is found by replacing f(x) with 0 and solving for x.

f(x) = 4x-20

0 = 4x-20

0+20 = 4x

20 = 4x

4x = 20

x = 20/4

x = 5

The root of f(x) is 5. If you plugged in x = 5, then you'll land on f(5) = 0.

Your teacher then wants to know what value of k will have g(x) get the same root of 5. In other words, we need to find k that will allow g(5) = 0.

We'll replace g(x) with 0 and plug in x = 5. Solving for k leads to...

g(x) = -0.5x+k

0 = -0.5*5+k

0 = -2.5+k

0+2.5 = k

2.5 = k

k = 2.5

k = 5/2

Answer:

C

Step-by-step explanation:

To find the zero of f(x) , let f(x) = 0 , that is

4x - 20 = 0 ( add 20 to both sides )

4x = 20 ( divide both sides by 4 )

x = 5 ← is the zero of f(x)

To find the zero of g(x) , let g(x) = 0 , that is

- \(\frac{1}{2}\) x + k = 0 ( multiply through by 2 to clear the fraction )

- x + 2k = 0 ( subtract 2k from both sides )

- x = - 2k ( multiply both sides by - 1 )

x = 2k ← is the zero of g(x)

Equating the 2 zeros

2k = 5 ( divide both sides by 2 )

k = \(\frac{5}{2}\) → C