Match each function with its range. I NEED THE ANSWER BY YESTERDAY FRFR
1. t(x) = -sqrt of x | y <= 2
2. p(x) = cube root of 2 - x | y <= 0
3. w(x) = 2 + sqrt of x | All real numbers
4. r(x) = -2 + sqrt of 2 - x | y >= 2
5. k(x) = 2 - sqrt of x | y >= -2
6. v(x) = sqrt of -x | y >= 0

Answer:

-5/8, 1/3, -3/2

Step-by-step explanation:

1.

-7/8+1/4

-7/8+2/8

(-7+2)/8

-5/8

2.

-19/3+20/3

1/3

3.

2-7/2

(4-7)/2

-3/2

1-

-7/8+1/4

-7/8+2/8

(-7+2)/8

-5/8

2-

Answer:

-3/2

Step-by-step explanation:

-5 = -10/2

-10/2 < -3/2

Answer:

-5 is bigger

It is bigger because if you would convert it to a whole number it would be -1.5

Answer:

116

Step-by-step explanation:

155-39=116

Answer: The unit rate is the number of cars washed per minute. To find the unit rate, we need to divide the number of cars washed by the number of minutes.

3 cars / 27 minutes = 1/9 car/minute

To express the unit rate as a shaded fraction of a circle, we can divide the circle into 9 equal parts and shade 1 of those parts to represent the unit rate of 1/9 car/minute.

It is not possible to provide a shaded fraction of a circle here as it is a text based interface.

Step-by-step explanation:

Answer:

The area is 24.

Step-by-step explanation:

The number of ways is an illustration of selections and arrangements.There are 16 ways to order a two-course meal.

An arrangement is defined as a combination of things that make up a design or that are laid out in a certain way

The given parameters are

Appetizer=8

Main=6

A person can choose 1 a-piece from each menu.

This means that:

There are 8 ways of selecting appetizers, and 2 ways of selecting the main courses.

So, the number of ways (n) is:

\(\rm n=Appetizer\times Main\)

\(n=8\times 2\)

\(n=16\)

Hence, there are 16 ways to order a two-course meal

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The inequalities that include 7 in the solution set are;

D) -3 - x < -9

E) ¹/₂(x + 3) ≥ 2

A) -6 + x ≤ 5

Add 6 to both sides using addition property of equality to get;

x ≤ 11

B) 11 - x ≥ 7

Add x - 7 to both sides to get;

4 ≥ x

C) 3(2x - 9) > 15

Expand the bracket to get;

6x - 27 > 15

Add 27 to both sides to get;

6x > 42

Divide both sides by 6 to get;

x >  7

D) -3 - x < -9

Add 9 + x to both sides to get;

6 < x

E) ¹/₂(x + 3) ≥ 2

Multiply both sides by 2 to get;

x + 3 ≥ 4

Subtract 3 from both sides to get;

x ≥ 1

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The answer is e. none of the above/can’t be determined with info given.

Based on the information given, we have:

P(A) = 0.46

P(B) = 0.17

P(A U B) = 0.63

Note that P(A U B) represents the probability of either event A or event B occurring, or both.

If events A and B are mutually exclusive, it means they cannot occur at the same time. In other words, if event A occurs, event B cannot occur, and vice versa. In this case, the probability of both events occurring would be zero.

On the other hand, if events A and B are collectively exhaustive, it means that together they account for all possible outcomes. In other words, either event A or event B (or both) must occur, and there are no other possibilities.

Using these definitions, we can see that events A and B are neither mutually exclusive nor collectively exhaustive. This is because the probability of both events occurring (i.e., the intersection of A and B) is not zero, which means they are not mutually exclusive. Additionally, the probability of either A or B occurring (i.e., the union of A and B) is not equal to one, which means they are not collectively exhaustive.

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(a) A nonzero vector orthogonal to the plane through the points P, Q, and R is (9, -17, 35). (b) The area of triangle PQR is \(\sqrt\)(811) / 2.

(a) To determine a nonzero vector orthogonal to the plane through the points P, Q, and R, we can first find two vectors in the plane and then take their cross product. Taking vectors PQ and PR, we have:

PQ = Q - P = (5, 1, -2) - (-4, 0, 0) = (9, 1, -2)

PR = R - P = (6, 4, 1) - (-4, 0, 0) = (10, 4, 1)

Taking the cross product of PQ and PR, we have:

n = PQ x PR = (9, 1, -2) x (10, 4, 1)

Evaluating the cross product gives n = (9, -17, 35). Therefore, (9, -17, 35) is a nonzero vector orthogonal to the plane through points P, Q, and R.

(b) To determine the area of triangle PQR, we can use the magnitude of the cross product of vectors PQ and PR divided by 2. The magnitude of the cross product is given by:

|n| = \(\sqrt\)((9)^2 + (-17)^2 + (35)^2)

Evaluating the magnitude gives |n| = \(\sqrt\)(811).

The area of triangle PQR is then:

Area = |n| / 2 = \(\sqrt\)(811) / 2.

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Answer:

she needs 65 medium apples

The given statement "The median of a quantitative data set is always one of the individual data values" is false.

When a given data set is arranged in ascending order the observation which at the between of the data is the median of that data set. It is a value in the set whose left and right both have the same number of observations.

The given statement is not true, this is because the median is the mid-value of any data set.

Hence, the given statement "The median of a quantitative data set is always one of the individual data values" is false.

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Answer:

\(\huge\boxed{Q = 110 \textdegree, \ ST = 9 \ \text{ft}}\)

Step-by-step explanation:

When we reflect and transform a figure, the angle lengths nor the side lengths are touched. The side length only changes if we dilate or stretch the figure, and the angle length only changes if we stretch the figure.

Therefore, we know the information is going to be the exact same. We just have to figure out what corresponds to what from JKLM to QTSR.

If we reflect a figure across a horizontal reflection line through its center, the figure will just flip sides. M will be J, L will be K, etc.

When we translate this down, nothing changes except its position. So we can pretend these two shapes are right on top of each other for now.

When we move these right on top of each other, we can see that Angle J overlaps with Angle Q. Since they don't have any weird intersects, we know that angle J will be equal to Angle Q. Since we already know J is 110°, we know Q is also 110°.

When we move it on top, we also see that KL overlaps with ST perfectly. Since we know KL is 9, that must mean ST is also 9.

Hope this helped!

a. The required change in aggregate demand is equal to the output gap:
Change in Aggregate Demand = Y* - Y.

b. Tax Change = (Change in Aggregate Demand) / (MPC * (1 - MPC))
Plug in the values found in part a to find the required tax change.
c. Substitute the new MPC value of 0.8 into the formula and plug in the change in aggregate demand found in part a.

This will give you the new required tax change to restore the economy to its long-run equilibrium.

a. To determine how much aggregate demand needs to change to restore the economy to its long-run equilibrium, we first need to identify the current output gap.

The output gap is the difference between the current level of real GDP (Y) and the potential level of real GDP (Y*), which is the level of GDP at long-run equilibrium.

The required change in aggregate demand is equal to the output gap:
Change in Aggregate Demand = Y* - Y
b. To calculate the necessary change in taxes to shift aggregate demand by the amount found in part a, we use the concept of the marginal propensity to consume (MPC).

The MPC is the proportion of an additional dollar of income that is spent on consumption.

Given that the MPC in this nation is 0.5, we can use the following formula to determine the required tax change:
Tax Change = (Change in Aggregate Demand) / (MPC * (1 - MPC))
Plug in the values found in part a to find the required tax change.
c. Now, if the MPC is 0.8, we need to recalculate the required tax change to restore the economy to its long-run equilibrium. Use the same formula as in part b:
Tax Change = (Change in Aggregate Demand) / (MPC * (1 - MPC)).

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Answer:

282

Step-by-step explanation:

To find the sum of arithmetic sequence:

 Find the first and last term.

    nth term = 3n + 4

First term = a = 3*1  + 4

                      = 3 + 4

                      = 7

Last term =  l = 3*12 + 4

                     = 36 + 4

                     = 40

\(\sf \boxed{\bf S_n = \dfrac{n}{2}(a +l)}\)

         \(\sf = \dfrac{12}{2}(7 + 40)\\\\ =\dfrac{12}{2}*47\\\\ = 6 * 47\\\\ = 282\)

Answer:

below

Step-by-step explanation:

The arc length is  220 / 360 ths of the total circumference

find the total circumference = pi *2r = 64 pi  inches

now multiply by the fraction  of the total circumference

   220 / 360   *  64 pi = 122.9 in

p = 40 corresponds to the price that yields the maximum revenue.

The given function is R(p) = -10p² + 800p and it represents the revenue generated by selling an item at a price of p dollars.To find the price that would yield the maximum revenue, we need to find the value of p that maximizes the revenue, which is equivalent to finding the vertex of the parabola given by the function.Therefore, we will first find the axis of symmetry, which is given by:

p = -b/2a

where a and b are the coefficients of the quadratic function (ax² + bx + c).

In this case, a = -10 and b = 800.

Therefore: p = -b/2a = -800/(2*(-10)) = 40.

So, the axis of symmetry is p = 40.

Next, we need to determine whether this point corresponds to a maximum or a minimum. Since the coefficient of the p² term is negative, the graph of the parabola opens downward, which means that the vertex corresponds to a maximum. Therefore, the price that yields the maximum revenue is p = 40. Algebraically, we can justify this by noting that this is the value of p that makes the linear term (800p) equal to zero, which means that the quadratic term (-10p²) is the only term that affects the value of the function. Graphically, we can see that the vertex of the parabola occurs at p = 40 and that the value of the function increases on either side of this point. Therefore, p = 40 corresponds to the price that yields the maximum revenue.

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The probability that all three orders will be filled correctly is 0.614125. The probability that none of the three orders will be filled correctly is 0.003375. The probability that at least two of the three orders will be filled correctly is 0.93925. The mean of the binomial distribution is 2.55 and the standard deviation is 0.61847.

The probability of an order being filled correctly is 0.85. There are three orders, so the probability of all three orders being filled correctly is 0.85^3 = 0.614125. The probability of none of the three orders being filled correctly is 1 - 0.85^3 = 0.003375. The probability of at least two of the three orders being filled correctly is 1 - (0.15)^3 = 0.93925. The mean of the binomial distribution is np = 3 * 0.85 = 2.55. The standard deviation of the binomial distribution is sqrt(np(1-p)) = sqrt(3 * 0.85 * 0.15) = 0.61847.

These values suggest that it is very likely that at least two of the three orders will be filled correctly. It is also possible, but less likely, that all three orders will be filled correctly. It is very unlikely that none of the three orders will be filled correctly.

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The critical value of t with df as 7 is 2.36, and the critical value of t with df as 102 is 2.62

In a hypothesis test, the critical value is a value that is used to decide whether to accept the null hypothesis or not. It is based on the level of significance that was selected, which is the highest likelihood that a Type I error could occur.

a)

On referring to the t-distribution table, which is statistical software, or a calculator to find the critical value of t for a 95% confidence interval with degrees of freedom (df) = 7. The two-tailed confidence level of 0.95 is the essential value. We discover that the crucial value of t for a 95% confidence interval with df = 7 is roughly 2.365 using a t-distribution table or program.

b)

The t-distribution table, statistical software, or a calculator are used in a similar manner to estimate the critical value of t for a 99% confidence interval with df = 102. The crucial value is equal to the 0.99 two-tailed confidence level. The crucial value of t for a 99% confidence interval with df = 102 is roughly 2.62, according to a t-distribution table or computer programme.

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Answer: -0.9, -0.45, -0.09, 0.15, 0.62

Step-by-step explanation:

The equation is 2w + 10 = 26.

The number of weeks the driving class lasts is 8 weeks.

With that,

Terrence signed up for the Safe Venture driving school.

He will spend 10 hours driving with an instructor and will also attend weekly 2-hour classes.

When Terrence completes the 26 total hours of instruction, he will take his driver's test.

We have to determine,

Which equation can you use to find w, the number of weeks the driving class lasts.

According to the question,

He will spend 10 hours driving with an instructor and will also attend weekly 2-hour classes.

Then, The equation of the number of weeks the driving class lasts,

= 2w + 10

When Terrence completes the 26 total hours of instruction, he will take his driver's test.

2w + 10 = 26

He spends 10 hours driving and adding on 2 more classes with a total of 26 hours.

Therefore,

The number of weeks the driving class lasts,

2W + 10 = 26

2W = 26 - 10

2W = 16

W = (16/2)

W = 8

Hence, The number of weeks the driving class lasts is 8 weeks.

To find the area of a region under the standard normal curve, the following information would typically be provided in the question:

1. The specific boundaries or limits of the region: The question should provide the z-scores or values that determine the starting and ending points of the region of interest. For example, it could specify "Find the area under the standard normal curve between z = -1.5 and z = 2.0."

2. The type of region: The question might specify whether the desired area is for a specific tail (e.g., "Find the area to the left of z = 1.8") or for a specific interval (e.g., "Find the area between z = -0.5 and z = 1.2").

3. Clear instructions or context: The question should provide sufficient context or instructions to ensure a clear understanding of what area needs to be found. It could specify a particular percentage or probability associated with the region, or it could relate to a specific problem or scenario where finding the area under the standard normal curve is necessary.

By providing these details, the question enables you to determine the appropriate steps to calculate the area using methods such as z-tables, statistical software, or mathematical formulas.

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Answer:

Step-by-step explanation:

\(\frac{x}{5} +1=\frac{1}{15}\)

\(\frac{x}{5} = \frac{1}{15} -1\)

\(\frac{x}{5} = \frac{1-15}{15}\)

\(\frac{x}{5} = \frac{-14}{15}\)

multiply both sides by 5

\(5*\frac{x}{5} = \frac{-14}{15} *5\)

\(x=-\frac{14}{3}\)

Answer:

i dont know

Step-by-step explanation:

MEEEEEEEEEE please

Answer:

-6 only

Step-by-step explanation:

i just did the test

The advantage of using Dotplot by Alice over stemplot chosen by Joyce is that Dotplot works easier on large data sets with respect to stemplot.

Dotplot allows the data to get sorted as the values are plotted whereas stemplot requires the values to be sorted before the data must enter in the plot.

It is easy to determine the shape of the distribution, that is, symmetrical or asymmetrical while using Dotplot whereas we should not able to determine the shape of the distribution while using stemplot.

Dotplot shows the original data that is single dot represents the original number whereas stemplot does not shows the original data that is first digits of the number represents as stem and last digits represents as leaf.

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By evaluating the system of inequalities we will see that the point (0, 1) is not a solution.

Here we know that a student says that (0, 1) is a solution to the system of inequalities below:

y > x

y > 2x + 1

A point (x, y) is a solution of the system of eqations if, when we replace both values, both inequalties are true.

Replacing the values of the point (0, 1) we will get:

1 > 0

1 > 2*0 + 1  → 1 > 1

The second inequality is false, then the point (0, 1) is not a solution of the system.

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Answer:

x - (-9,0)

y - (0,-18)

Step-by-step explanation:

Answer:

x-intercept = (-9,0)

y-intercept = (0,-18)

Step-by-step explanation:

To find the x-intercept, substitute in  0  for  y  and solve for  x . To find the y intercept, substitute in  0  for  x  and solve for  y .

Answer:

20cm

Step-by-step explanation:

1. First find the area of the triangle

a = 1/2 × base × h

a = 1/2 × 10 × 11

a = 55cm²

2. Then times the area of the triangle by 8 to find the area of the rectangle

55 × 8 = 440cm²

3. Find the width of the rectangle:

The area of a rectangle is = l × w

22 × width = 440cm²

width = 440 ÷ 22

width = 20cm

Answer: Width = 20

Step-by-step explanation:

Give the area of triangle = x

So the area of rectangle = 8x

the area of triangle = (11 × 10) ÷ 2 = 55

So the area of rectangle = 8(55) = 440

The area of rectangle = W × L

So 440 = W × 22

W = 20

please give me a brainliest answer