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Alternate Interior Alternate Exterior Same Side Interior Same Side Exterior Supplementary Corresponding
∠1 and ∠5
∠2 and ∠7
∠2 and ∠8
∠8 and ∠7
∠3 and ∠6
∠5 and ∠3

option C

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a. Gym A and B will cost the same at 11 months.

b. It will cost $223.00 at that time.

Let's calculate the cost of each gym and find out the time at which both gyms will cost the same.

Gym A cost = $18 per month + $25 fee

Gym B cost = $6 per month + $97 fee

Let's find out when the costs of Gym A and Gym B will be the same.18x + 25 = 6x + 97   (where x represents the number of months)18x - 6x = 97 - 2512x = 72x = 6Therefore, Gym A and Gym B will cost the same after 6 months.

Let's put x = 11 months to calculate the cost of both gyms at that time.

Cost of Gym A = 18(11) + 25 = $223.00Cost of Gym B = 6(11) + 97 = $223.00

Therefore, it will cost $223.00 for both gyms at 11 months.

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We are given a function y = -4x^3 - 9x^11, and we need to find its first and second derivatives.

To find the first derivative, we apply the power rule and the constant multiple rule. The power rule states that the derivative of x^n is nx^(n-1), and the constant multiple rule states that the derivative of kf(x) is k*f'(x), where k is a constant. Applying these rules, we can find the first derivative of y = -4x^3 - 9x^11.

Taking the derivative term by term, the first derivative of -4x^3 is -43x^(3-1) = -12x^2, and the first derivative of -9x^11 is -911x^(11-1) = -99x^10. So, the first derivative of y is dy/dx = -12x^2 - 99x^10.

To find the second derivative, we apply the same rules to the first derivative. Taking the derivative of -12x^2, we get -122x^(2-1) = -24x, and the derivative of -99x^10 is -9910x^(10-1) = -990x^9. Therefore, the second derivative of y is d^2y/dx^2 = -24x - 990x^9.

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Answer:

7

Step-by-step explanation:

2-(-5)=7

Answer:

(2) + (5)

Step-by-step explanation:

Whenever you change the sign you also change the second number in the expression, in this case, (-5) has to be changed into (5) because you change the - sign to a + sign.

Answer:

i got 15.1

Step-by-step explanation:

Answer:

25

Step-by-step explanation: i got it right on ed

Answer:

153.6

Step-by-step explanation:

Density is how much matter an object has to its volume. Formula:

Density=Mass x Volume.

12.8 x 12=153.6

Hope this helps :)

Answer: -4 < n \(\leq\) 5

Step-by-step explanation:

The statement that proves that angle XWY is equal to angle ZYW is

A. If two parallels are cut by a transverse, then alternate interior angles are congruent

Alternate interior angles are a pair of angles that are formed on opposite sides of a transversal line when two parallel lines are intersected by the transversal.

When a transversal intersects two parallel lines, it creates eight angles. Among these angles, the alternate interior angles are located on the inside of the parallel lines and on opposite sides of the transversal.

In a parallelogram, the two opposite sides are parallel to each other hence the line crossing them will lead to formation of alternate interior angles

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Answer: Ann

Step-by-step explanation:

The measure of angle c is 70 degrees.

If angle a and angle b are complementary, it means that the sum of their measures is equal to 90 degrees.

Given:

Measure of angle a = 10x + 10

Measure of angle b = 20

We can set up the equation:

(10x + 10) + 20 = 90

Simplifying the equation:

10x + 30 = 90

Subtracting 30 from both sides:

10x = 60

Dividing both sides by 10:

x = 6

Now, we have found the value of x to be 6.

To find the measure of angle c, we can substitute the value of x into the equation for angle a:

Measure of angle a = 10x + 10

Measure of angle a = 10(6) + 10

Measure of angle a = 60 + 10

Measure of angle a = 70

As a result, angle c has a measure of 70 degrees.

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Answer:

x = 17

Step-by-step explanation

the two interior angles add up to the exterior.

Answer:

There are \(35.74\ cm^2\) of felt left over.

Step-by-step explanation:

The side of the felt square is 8 cm. A circle of radius 3 cm is cut from the square piece of felt.

The portion of felt leftover is the difference between the area of the square and the area of the circle.

The area of the square is:

\(A_s=(8\ cm)^2=64\ cm^2\)

The area of the circle is:

\(A_c=\pi(3\ cm)^2=3.14*9\ cm^2\)

\(A_c=28.26\ cm^2\)

The remaining area of the piece of felt is:

\(A=64\ cm^2-28.26\ cm^2\)

\(A=35.74\ cm^2\)

There are \(35.74\ cm^2\) of felt left over.

The domain of the function that models Salvatore's price scale is;  {x 0 < x < 8}.

The domain of a graph is defined as the set of possible input values of a function.

Now, we are told that he charges $100  for all work that is completed in less than 2 hours and also that he charges $400 for work that takes between 5 and 8 hours.

This means that the number of hours will be less than 2 but cannot be zero but it is less than or equal to 8

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There is a taxi driver Aiden and he uses M(n) model to determine the money he earned from each drive. As n stands for the drive number, the statement  M(8)<M(4) means that Aiden's fee for the  \(8^t^h\) drive is less than for his \(4^t^h\)  drive.

We know that Aiden is a taxi driver and he uses his M(n) model to find the amount he earned from each drive. In his M(n) model n signifies the drive number.

Given that M(8)<M(4):

In the above statement, M(8) stands for the \(8^t^h\) drive of Aiden, and M(4) stands for the \(4^t^h\) drive of Aiden.

By using his M(n) model, we can conclude the statement  M(8)<M(4) that Aiden earned more money for his \(4^t^h\) drive than he earned for his \(8^t^h\) drive.

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The complete question is:

Aiden is a taxi driver.

M(n) models Aiden's fee (in dollars) for his \(n^t^h\)drive on a certain day.

What does the statement M(8)<M(4), mean?

Step-by-step explanation:

Add all the books then find the average

Answer:

The Mean is 6.142

Step-by-step explanation:

The mean is the total of the numbers divided by how many numbers there are.

Answer: 3/8

Step-by-step explanation:

There is no effect between flipping a coin and chosing a number.

This situation is known as a independent event.

P(AnB) = P(A)*P(B)

The situation A = Heads or tails of money = 1/2

The situation B = 6/8

It can be calculated as below:

Probability = Desired / All Event

Desired || Numbers between 3 and 10 are : 4,5,6,7,8,9 = 6 pieces

All Event || Numbers between 1 and 10 are : 2,3,4,5,6,7,8,9 =8 pieces

Consequently product the fractions.

1/2 * 6/8 = 6/16 = 3/8

Answer:

The answer is

Step-by-step explanation:

The area of the flower bed is larger than 10 square feet.

Hope this helps....

Have a nice day!!!!

If researchers measure every member of a population, they have conducted a census. Correct option is C.

A census is a method of data collection that involves measuring or collecting information on every member of a population of interest.

Conducting a census can provide highly accurate and representative data for the entire population, as it eliminates the potential for sampling error or bias. This means that a census can greatly increase the external validity of a study, as the findings can be generalized to the entire population.

However, conducting a census can be time-consuming, resource-intensive, and impractical for certain populations or research questions. In some cases, a sample may be more feasible or appropriate for achieving the research objectives.

Therefore, while conducting a census can provide a high level of internal validity and eliminate potential sampling bias, it is not always the most practical or feasible method of data collection, and researchers must carefully consider the trade-offs between census and sampling methods depending on the specific research question and population of interest.

Therefore, correct option is C.

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Answer:

Step-by-step explanation:

take x as reference angle

using sin rule

sin x = opposite / hypotenuse

sin x = 20 / 36

sin x = 0.55

x = \(sin^{-1} (0.55)\)

x = 33.36

x = 33.4 degree

Answer:

Bill received 13.68 change back.

Step-by-step explanation:

20-6.32=13.68

Answer:

Mike received $1.97 in change.

Step-by-step explanation:

$6.32+$11.71=$18.03

so then you take away 18.03 from 20 like this:

$20.00-$18.03=$1.97

The arc angle LM of the circle is 60 degrees.

The arc angle LM of the circle can be found as follows:

The central angle of an arc is the central angle subtended by the arc. The measure of an arc is the measure of its central angle.

Therefore, let's find the central angle that subtend LM in the circle as follows:

central angle = 180 - 120 = 60 degrees(angle on a straight line)

Hence, the central angle is equals to the arc angle.

Therefore,

arc LM = 60 degrees

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Answer:

(8,-4)

Step-by-step explanation:

The difference between A and M is 2.5x and -4y

so B would be 5.5+2.5 and 0-4

(8,-4)

Answer:

B

Step-by-step explanation:

Answer:

22-7x+10

22+10_7X

32-7x

-7X=32

-X=4.57

Answer: Question #1 is C.

Question #2

Name the true solution(s) to the equation.

✔ x = 1 and x = 8

Name the extraneous solution(s) to the equation.

✔ x = 0

Step-by-step explanation:

We can see that the statement is not always true for any vectors u and v in V3.

The statement is not always true.

The cross product of vectors u and v in V3 is a vector that is orthogonal to both u and v. That is,

u x v ⊥ u and u x v ⊥ v

However, this does not necessarily mean that (u x v) * u = 0 for all u and v in V3.

For example, let u = <1, 0, 0> and v = <0, 1, 0>. Then,

u x v = <0, 0, 1>

(u x v) * u = <0, 0, 1> * <1, 0, 0> = 0

So in this case, the statement is true. However, consider the vectors u = <1, 1, 0> and v = <0, 1, 1>. Then,

u x v = <1, -1, 1>

(u x v) * u = <1, -1, 1> * <1, 1, 0> = 0

So in this case, the statement is also true. However, if we take the vector u = <1, 0, 0> and v = <0, 0, 1>, then

u x v = <0, 1, 0>

(u x v) * u = <0, 1, 0> * <1, 0, 0> = 0

So in this case, the statement is true as well.

However, if we take the vector u = <1, 1, 1> and v = <0, 1, 0>, then

u x v = <1, 0, 1>

(u x v) * u = <1, 0, 1> * <1, 1, 1> = 2

So in this case, the statement is not true.

Therefore, we can see that the statement is not always true for any vectors u and v in V3.

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Answer:

a = 2 - 3b

        2

Step-by-step explanation:

3(a + b) = a + 2   expand

3a + 3b = a + 2

3a - a = 2 - 3b

2a = 2 - 3b

a = 2 - 3b

        2