(8by the power of 2 - 2) = 2 x 32

Answer:

For each table plug x in one at a time into the equation

If the outcome (y) is the same in the table that will be the correct answers

Step-by-step explanation:

For example -2 will be plugged in so y=5/4(-2)-3 which simplifies down to -0.5 looking back at the table we see the y value is 0.5 instead of -0.5 thus allowing us to eliminate that answer choice and repeat the process in the next table. Whichever one holds true and have the correct outcome will be the correct answer

Hope this helps

Answer:

1.5 for each song.

Step-by-step explanation:

subtract $6.99 by $21.99 = 15 divided by 10 = 1.5

Answer:

15 cm.

Step-by-step explanation:

Recall that the arc-length of a circle is given by the formula:

\(\displaystyle s = r\theta\)

Where r is the radius and θ is the measure of the central angle in radians.

The circle has a diameter of 24 cm, so its radius is 12 cm.

And its central angle is 1.25 radians. Hence, the arc-length will be:

\(\displaystyle s = \left(12\right)\left(1.25\right) = 15\text{ cm}\)

In conclusion, the arc-length for a circle with a diameter of 24 cm subtended by a central angle of 1.25 radians is 15 cm.

Answer:

A. 418, 418

Step-by-step explanation:

The formula to convert miles to meters is the following:

1 = 1,609.34

so for every 1 mile, you have 1,609.34 meters

so you take your distance in miles and multiply it by 1,609.34

d= 260 x 1,609.34

d = 418, 428.4

By rewriting the 3 given systems, we will see that:

1) Independent and inconsistent.

2) Independent and consistent.

3) Independent and inconsistent..

Let's analyze each system.

Let's look at the first one, we can rewrite it as:

y = 3x - 1

And, 2y - 6x = 4

2y = 6x + 4

y = 3x + 2

Here both lines have the same slope, so the lines never do intersect, meaning that the system is inconsistent and independent.

Now let's look at the second system, we can rewrite it as:

2y = - x + 6

And, 4y + 2x = 12

y = - 1/2x + 3

So, the slopes are different, meaning that we have one solution, so this system is consistent and independent.

For the final system we have:

y = 2x + 3

x + y = - 9

So, the slopes are different, meaning that we have one solution, so this system is consistent and independent.

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Answer:

8 units of Hot dog

Step-by-step explanation:

Total utility refers to the utility in which the is satisfaction after consuming the multiple units from a good or a service

As we can see from the attached figure that at the number of 8 hot dogs the total utility is maximum i.e 55

Therefore in the given case, the optimal number of hot dogs he will eat is 8 as at this point the total utility is more as compared to the other utilities

The dog is able to run around in a circle with a radius of9 ft.

The area of a circle is A = pi r^2

A = (3.14) (9)^2

A= (3.14)(81)

A= 254.34 sq ft

The area of QOR from the given diagram is 2π square centimeters

A sector is said to be a part of a circle made of the arc of the circle along with its two radii.

The formula for calculating the area of a sector is expressed as;

A = r²β/2

where

r is the radius of the circle

β is the angle subtended

Given the following parameters

<QOR = 180 - <POQ

<QOR = 180 - 135

<QOR = 45 degrees

Determine the radius

L = rβ

π = r(π/4)

1 = r/4

r =  4

Determine the area of QOR

Area = 4²(π)/8

Area = 2π

Hence the area of QOR from the given diagram is 2π square centimeters

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Answer:

27.50 divided by 2

The solution of an equation is the true value of the equation.

The true statement is (a) Dr. Ellison is right

The equation is given as:

\(\mathbf{y =17x + 1}\)

The solution is given as: (1,18)

Substitute 1 for x and 18 for y.

So, we have:

\(\mathbf{18 =17 \times 1 + 1}\)

Multiply

\(\mathbf{18 =17 + 1}\)

Add

\(\mathbf{18 =18}\)

The above equation is true.

Hence, the true statement is (a) Dr. Ellison is right

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By considering the point (1,18) as Dr. Elisson's solution. Choice A: Dr. Ellison is right.

According to the question;

By substituting 1 and 18 for x and y in the equation; we have;

In essence, Dr. Ellison is right.

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60% of 45 would be 27

He pays his parents $27 each week

Divide 162 and 27

162/27=6

It will take 6 weeks for him to pay back his parents

The solution to the inequality 1 + 3r > 10 is r > 3.

This means that any value of r greater than 3 will satisfy the inequality.

To solve the inequality 1 + 3r > 10, we need to isolate the variable r on one side of the inequality sign.

Let's begin by subtracting 1 from both sides of the inequality:

1 + 3r - 1 > 10 - 1

This simplifies to:

3r > 9

Next, we can divide both sides of the inequality by 3 to solve for r:

(3r)/3 > 9/3

This simplifies to:

r > 3

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Answer:

B. f⁻¹(x) = 3 - 5x

Step-by-step explanation:

f(x) = (3 - x)/5

Replace f(x) with y.

y = (3 - x)/5

Switch the variables.

x = (3 - y)/5

Multiply both sides by 5.

5x = 3 - y

Subtract 3 from both sides.

5x - 3 = -y

Multiply both sides by -1.

y = -5x + 3

Apply commutative property.

y = 3 - 5x

Replace y with f⁻¹(x).

f⁻¹(x) = 3 - 5x.

Answer: so u do 1 + n = 21

Step-by-step explanation:

21

Answer:

Step-by-step explanation:

SRS

Answer:

Boris=504 keisha=120

Step-by-step explanation:

First you would start off by Multiplying 4x126 the result of that is= 504 so thats how much Boris sent. To get the answer to how many jose sent you simply just subtract 6-126 and that should result in 120

Answer:

1) Null hypothesis:\(p \geq 0.4\)  

Alternative hypothesis:\(p < 0.4\)  

2) \(z=\frac{0.38 -0.4}{\sqrt{\frac{0.4(1-0.4)}{500}}}=-0.913\)  

3) \(p_v =P(z<-0.913)=0.1806\)  

4) For this case since the p value is higher than the significance level so then we FAIL to reject the null hypothesis and we can conclude that the true proportion is not significantly less than 0.4

a. Fail to reject the null hypothesis

Step-by-step explanation:

Information given

n=500 represent the random sample taken

\(\hat p=0.38\) estimated proportion of if the people they are confident of meeting their goals  

\(p_o=0.4\) is the value to test

represent the significance level

z would represent the statistic

\(p_v\) represent the p value

Part 1

We want to test if the true proportion is less than 0.4, the system of hypothesis are.:  

Null hypothesis:\(p \geq 0.4\)  

Alternative hypothesis:\(p < 0.4\)  

a. left-tailed

Part 2

The statistic is given by:

\(z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}\) (1)  

Replacing the info given we got:

\(z=\frac{0.38 -0.4}{\sqrt{\frac{0.4(1-0.4)}{500}}}=-0.913\)  

Part 3

The p value for this case can be calculated like this:

\(p_v =P(z<-0.913)=0.1806\)  

Part 4

For this case since the p value is higher than the significance level so then we FAIL to reject the null hypothesis and we can conclude that the true proportion is not significantly less than 0.4

a. Fail to reject the null hypothesis

Answer:

(-8,-4)

Step-by-step explanation:

Answer:

EASY (-8,-4)

Step-by-step explanation:

Answer:

65 packets and 4 stamps

Step-by-step explanation:

The first thing we see is that the stamps are mixed... which means they must be added.

208 + 186 = 394 stamps total

Now we see that each packet has 6 stamps. So we divide the number of stamps in total by 6.

394/6= 65.66667

Now we see from that number that the stamps can't quite make 66 packets, so there are 65 packets.

Now we find the number of stamps left over by multiplying the number of packets by 6.

65 x 6= 390

Now we take the total number of stamps minus the number of stamps in packets.

394 - 390 = 4

Therefore, there are four stamps left over.

Hope this helps!

The possible equation for Nate's line is C) 6x - 5y = 15.

To find the equation of the line perpendicular to Maria's line, we need to determine the slope of Maria's line first.

Maria's line is represented by the equation:

y = -5/6 x + 8

The slope of this line can be determined by comparing it to the slope-intercept form of a linear equation (y = mx + b), where m is the slope. Thus, the slope of Maria's line is -5/6.

The slope of a line perpendicular to Maria's line will be the negative reciprocal of -5/6, which is 6/5.

Therefore, the equation of Nate's line could be in the form:

y = 6/5 x + b

where b is the y-intercept of Nate's line.

To determine which of the given answer choices is the equation of Nate's line, we can substitute the equation y = 6/5 x + b into each answer choice and see which one holds true.

A) 5x - 6y = 15

Substituting y = 6/5 x + b, we get:

5x - 6(6/5 x + b) = 15

5x - 36/5 x - 6b = 15

-11/5 x - 6b = 15

This equation is not equivalent to y = 6/5 x + b, so A is not the answer.

B) 5x + 6y = 15

Substituting y = 6/5 x + b, we get:

5x + 6(6/5 x + b) = 15

5x + 36/5 x + 6b = 15

46/5 x + 6b = 15

This equation is not equivalent to y = 6/5 x + b, so B is not the answer.

C) 6x - 5y = 15

Substituting y = 6/5 x + b, we get:

6x - 5(6/5 x + b) = 15

6x - 6x - 5b = 15

-5b = 15

b = -3

This equation is equivalent to y = 6/5 x - 3, so C could be the answer.

D) 6x + 5y = 15

Substituting y = 6/5 x + b, we get:

6x + 5(6/5 x + b) = 15

6x + 6x + 5b = 15

12x + 5b = 15

This equation is not equivalent to y = 6/5 x + b, so D is not the answer.

Therefore, the possible equation for Nate's line is C) 6x - 5y = 15.

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Answer:

x=59/4 or 14.75 as decimal

Step-by-step explanation:

4x=68-9

4x=59

4x÷4=59÷4 divide both sides by 4 to get x by itself

x=59/4

The given side lengths of 12, 17, and 24 give a unique triangle from which the measure of angle ∠B, taken as the angle opposite the side of length 17, and found using cosine rule, is approximately 41.56°

The law of cosines states that the the square of the length of a side of a triangle is given by the sum of the square of the other two sides, less the product of two and the other two sides, and the cosine of the angle between them

Mathematically, a²= b² + c² - 2·b·c·cos(A)

The given lengths of the sides are; 12, 17 and 24

The measure of the angles are given by the law of cosines as follows;

a² = b² + c² - 2·b·c·cos(A)

Which gives;

2·b·c·cos(A) = b² + c² - a²

Which gives;

\(cos(A) = \dfrac{b^2 + c^2 - a^2}{2\cdot b \cdot c}\)

Let a = 12, b = 17, and c = 24, we have;

\(cos(A) = \dfrac{17^2 + 24^2 - 12^2}{2\times 17 \times 24} =\dfrac{721}{816}\)

\(A = arcos\left(\dfrac{721}{816}\right)\approx 27.9^{\circ}\)

Similarly, we have;

\(cos(B) = \dfrac{a^2 + c^2 - b^2}{2\cdot a \cdot c}\)

\(cos(B) = \dfrac{12^2 + 24^2 - 17^2}{2\times 12 \times 24} = \dfrac{431}{576}\)

\(B= arcos\left( \dfrac{431}{576}\right)\approx 41.56^{\circ}\)

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The equation for w(width of rectangle) is: W = (P - 2L)/2

The correct answer is an option (c)

We know that the formula for the perimeter of the rectangle is:

P = 2L + 2W

where P is the perimeter of the rectangle,

L is the length of the rectangle,

and W is the width of the rectangle.

We need to rearrange this equation for w.

Consider equation,

P = 2L + 2W

P - 2L = 2L + 2W - 2L      ......(subtract 2L from each side of equation)

P - 2L = 2W

(P - 2L)/2 = 2W/2             .....(divide each side by 2)

W = (P - 2L)/2

Therefore, the correct answer is  W equals the quantity P minus 2 times L all over 2

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The complete question is:

Makayla is taking a math course and is working with the perimeter of rectangles. She knows the perimeter and length of her rectangle but wants to solve for the width. Rearrange the following equation for W, where P is the perimeter, L is the length, and W is the width of the rectangle. P = 2L + 2W.

a) W = 2P − 2L

b) W = P/ 2-2 times L

c) W equals the quantity P minus 2 times L all over 2

d) W = 2P + 2L

Answer:

c) W equals the quantity P minus 2 times L all over 2

Step-by-step explanation:i just took the test

Answer:

200 lbs.

Step-by-step explanation:

Divide mass value by 16 to convert oz to lbs.

3,200/16=200

Given:

The relation S is:

\(S=\{(4,9),(-9,4),(0,-9),(6,6)\}\)

To find:

The domain and range of S.

Solution:

If a relation is defined by the set of ordered pairs (x,y), then the domain is the set of x-values and range is the set of y-values.

Let R be a relation defined as \(R=\{(x,y):x\in R,y\in R\}\), then \(Domain=\{x:x\in R\}\) and \(Range=\{y:y\in R\}\).

The given relation is:

\(S=\{(4,9),(-9,4),(0,-9),(6,6)\}\)

Here, x-values are 4,-9,0,6 and the y-values are 9,4,-9,6.

So, the domain and range of the given relation S are

\(Domain=\{-9,0,4,6\}\)

\(Range=\{-9,4,6,9\}\)

Therefore, \(Domain=\{-9,0,4,6\}\) and \(Range=\{-9,4,6,9\}\).

Answer:

B

Step-by-step explanation:

So, a function is increasing when the y-values increase with the x-values. Ok?

So, A is constant, because while the x-values are increasing, the y-values aren't changing at all.

B is increasing because both the x and y values are increasing.

C is once again constant, for the same reason as A.

D is decreasing because as x-values increase, y-value decrease.

Answer:

I agree that’s your answer

Step-by-step explanation:

Answer:

The length of the line segment is of 5.9 units.

Step-by-step explanation:

Distance between two points:

Suppose that we have two points, \((x_1,y_1)\) and \((x_2,y_2)\). The distance between these two points is given by:

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

How long is the line segment?

The distance between points P and Q. So

P(1,3), and Q(4,8).

\(D = \sqrt{(4-1)^2+(8-3)^2} = \sqrt{3^2 + 5^2} = \sqrt{34} = 5.9\)

The length of the line segment is of 5.9 units.

9514 1404 393

Answer:

  ∠B = 53°

  ∠C = 127°

  ∠D = 127°

Step-by-step explanation:

The trapezoid is isosceles, as indicated by the hash marks on sides AD and BC. This means it is symmetrical about the vertical center-line. Angles on the right will have the same measures as the symmetrical angles on the left.

So, you know immediately that ∠B = ∠A = 53°.

Because AB ║ DC, ∠A and ∠D are supplementary. That is, ...

  ∠D = ∠C = 180° -53°

  ∠D = ∠C = 127°