If the scale factor for the dilation shown is 3 which is the length of B’ C’

A 5/3
B 8
C 12
D 15

If The Scale Factor For The Dilation Shown Is 3 Which Is The Length Of B CA 5/3 B 8C 12D 15

Answers

Answer 1

Answer:

It's 15

Step-by-step explanation:

Got it right

Answer 2

The measure of B'C' after the dilation of 3 is given by the equation BC = 15

What is Dilation?

Resizing an item uses a transition called Dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. Dilation transformations ensure that the shape will stay the same and that corresponding angles will be congruent

Given data ,

Let the triangle be represented as ABC

Now , the dilated triangle is represented as A'B'C'

The dilation factor d = 3

The measure of side AB = 4 units

The measure of side BC = 5 units

The measure of side AC = 3 units

Now , after the dilation of 3 , we get

The measure of side A'B' = 12 units

The measure of side B'C' = 15 units

The measure of side A'C' = 9 units

Hence , the measure of side B'C' is 15 units

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Related Questions

A security camera is set to record the activities in a 115 degrees sector of a parking lot as represented by the shaded region of the circle below. Which measurements is closet to the area of The parking lot recorders by this security camera?

Answers

Answer:35 degrees i think

Step-by-step explanation:

The area covered by security camera is 5642.18 square feet.

What is Area of sector?

The region inside the portion of the circle formed by two radii and an arc is known as the area of a sector. It only covers a small portion of the entire circle's surface.

Area of sector = [tex]\theta[/tex] / 360 πR²

Given:

R= 150 /2 = 75 feet

Now, Area of sector = [tex]\theta[/tex] / 360 πR²

                                  = 115 / 360 x 3.14 x 75 x 75

                                  = 135412.5/24

                                  = 5642.18 square feet

Hence, the area covered by security camera is 5642.18 square feet.

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Which expression is equivalent to the following expression? 3(2x + 3)

5x + 6

6x + 6

6x + 9

5x + 9

Answers

Answer:

6x + 9

Step-by-step explanation:

distribute the 3 so then you get 3(2x) which equals 6x and 3(3) which equal 9 so

6x+9

6× + 9

Multiply each term in the parentheses by 3.

The nth term of a sequence is 8 - n. a)work out the first three terms of the sequence b) work out the value of the first negative term of the sequence

Answers

Answer:

see explanation

Step-by-step explanation:

To calculate the first 3 terms substitute n = 1, 2, 3 into the n th term formula

(a)

8 - 1 = 7

8 - 2 = 6

8 - 3 = 5

The first 3 terms are 7, 6, 5

(b)

The first negative term wii occur when n > 8, that is n = 9, thus

8 - 9 = - 1 ← first negative term

Final answer:

The first three terms of the sequence defined by 8 - n are 7, 6, and 5. The first negative term is when n equals 9.

Explanation:

The nth term of a sequence is defined by 8 - n. This means that you subtract the term number (n) from 8 to get the value of the term.

To work out the first three terms of the sequence, substitute n = 1, 2, and 3 into the nth term. So, the first term is 8 - 1 = 7, the second term is 8 - 2 = 6, and the third term is 8 - 3 = 5.To find the first negative term of the sequence, you need to determine the value of n when 8 - n becomes less than 0. If you set 8 - n to be less than 0 and solve for n, you will find that n > 8. Therefore, the first negative term occurs when n = 9 (since n must be an integer, the number immediately greater than 8 is 9).

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1. What is the probability of rolling a number less
than 3 or a six on a standard 6-sided die?
a. 1/6
b. 1/3
c. 1/2
d. 1
e. 3

I'm giving 20 points if you answer correctly

Answers

Answer:

1/2

Step-by-step explanation:

There are 2 numbers less than 3. (1 and 2) and one 6 on a dice. Therefore there is a 3 out of 6 chance of rolling one of these 3 numbers (1, 2, and 6). This can be represented as 3/6 which would simplify to 1/2 or 50%.

It can also be found this way...

Probability = Number of desired outcomes ÷ number of possible outcomes. Therefore 3 ÷ 6 = 0.5 which is equal to 50% or 1/2.

I hope you choose my answer so you do well on your assignment! I've gotten an A in math every year :)

Answer:

1/2

Step-by-step explanation:


3. Assume lines that look tangent are tangent. Find the length of the line
segment indicated by the ?

Answers

Answer:

20

Step-by-step explanation:

The point of contact of the tangent and the diameter of the circle is a right angle.

Thus the triangle with legs 12 and 2 × 8 = 16 is right

Using Pythagoras' identity.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

?² = 12² + 16² = 144 + 256 = 400 ( take the square root of both sides )

? = [tex]\sqrt{400}[/tex] = 20

Final answer:

The question deals with mathematics, specifically the slope of tangent lines, use of the Pythagorean theorem, and solving scale ratios and proportions. Students need to find specific lengths using provided endpoints, hypotenuse calculations, and scale conversions.

Explanation:

The student appears to be asking about finding the length of a line segment in a geometric context, possibly related to tangents to curves and the Pythagorean theorem. The student is likely working with a diagram or curve not provided here, so it is important to make use of available data points or diagrams in the course material. Furthermore, when working with scales and ratios for determining lengths, the process involves setting up a proportion, solving for the unknown value by cross-multiplying and dividing.

For the slope of the tangent line to a curve:

Identify the endpoints of the tangent line that corresponds to given positions and times.

Find the slope of the tangent line, denoted as 'v', by using the change in position over the change in time.

For the Pythagorean theorem:

Calculate the length of the hypotenuse as the square root of the sum of the squares of the other two sides.

Use significant figures appropriately to represent the precision of your result.

For solving ratios and proportions:

Set up the proportion based on given scale lengths and distances.

Solve for the unknown by cross-multiplying and dividing.

The annual health insurance premium for Ms.Everett is $12,304. Her employer pays 70% of the premium and deducts the remainder from her paycheck. Ms.Everett is paid monthly. what amount is deducted for Ms.Everett‘s paycheck for her health insurance premium?

Answers

Answer:

The amount deducted for Ms.Everett‘s paycheck for her health insurance premium is $307.6

Step-by-step explanation:

given information:

annual insurance = $12304

employer pay annually = 70%

first we calculate the annual insurance paid by the employer

employer paid annual insurance = 70% x $12304

                                                      = $8612.8

then, we calculate the insurance paid by Ms. Everett annually

Ms. Everett paid annual insurance =  $12304 - $8612.8

                                                         = $3691.2

thus, amount is deducted for Ms.Everett‘s paycheck for her health insurance premium

Ms. Everett's paycheck deduct = $3691.2/12

                                                     = $307.6

Answer:

307.60

Step-by-step explanation:

Got it right on the test.

A bookshelf is 72 inches wide. If I plan to place books on the shelf that average ¾ inches in width, about how many books will fit on the shelf?

Answers

Number of books that can fit on the shelf = Width of bookshelf/ width of average book = 72 x [tex]\frac{4}{3}[/tex] = 96 books

I hope this answer helps! If you have any questions, feel free to ask.

i need help with this question on my hw

Answers

Answer:

A) 630 feet squared

Step-by-step explanation:

Absolute 10.7 of percent 11

Answers

Answer:   = 11.88

This is a 3 step / 4 show workings.

10.7 + Percentage increase = 11%

10.7 + (11% × 10.7) =  10.7 + 11% × 10.7

(1 + 11%) × 10.7 = (100% + 11%) × 10.7

111% × 10.7 = 111 ÷ 100 × 10.7

111 × 10.7 ÷ 100 = 1,187.7 ÷ 100

11.877 ≈ 11.88

The tour of the art museum started at 9:35 Ask Your Teacher It lasted for 1 hour 20 minutes. What time did the tour end?

9:55
10:35
10:45
10:55

Answers

Answer:10:55

Step-by-step explanation:

9:35+1 hour is 10:35, add 20 minutes and you get 10:55

The tour ended at 10:55. If you add one hour to 9:35 out of the one hour and twenty minutes, you will get 10:35 then you add the remaining 20 minutes to get 10:55.

It's on the picture, could someone help me out?

Answers

Answer: separate because it would include more and you would save more

Step-by-step explanation:

first it is on sale second it would save you more money.

Answer:

the two packed because :

Step-by-step explanation:

first you need to find out the total of the two separated and for one it is £12.49 but for the second it is 50% off so 50% is a half so half of £12.49 is £6.25 so you now need to add them both together to find out how much two bottles cost separate  which is £18.74. now you need to have a look see which costs less this is the two together in the pack so the answer is you would rather buy the two packed one because they are cheaper  

PLEASE ANSWER ASAP. What is the diagonal length of a photo frame with dimensions that are 24 cm x 7 cm?

A. 19 cm
B. 25 cm
C. 28 cm
D. 32 cm

Answers

Answer:

B

Step-by-step explanation:

The diagonal will become the hypotenuse of a right triangle, with the legs being 24 and 7.

Since it is a right triangle, we can use Pythagorean theorem

a^2+b^2=c^2

We know the legs: a and b, are 24 and 7, so we can substitute them in

24^2+7^2=c^2

Solve the exponents

576+49=c^2

Add

625=c^2

Take the square root of both sides

[tex]\sqrt{625}[/tex]=[tex]\sqrt{c^{2} }[/tex]

c=25

So, the diagonal will be 25 cm, or choice B

Answer:

25cm or b

Step-by-step explanation:

Solve for xxx. Write the smaller solution first, and the larger solution second. x^2 + 9x + 18 = 0x 2 +9x+18=0x, squared, plus, 9, x, plus, 18, equals, 0 \text{smaller }x =smaller x=start text, s, m, a, l, l, e, r, space, end text, x, equals \text{larger } x =larger x=start text, l, a, r, g, e, r, space, end text, x, equals

Answers

To solve the quadratic equation x^2 + 9x + 18 = 0, you'll have to find values of x that satisfy this equation.

To find the roots of the quadratic equation, we use the formula x = [-b±sqrt(b^2 -4ac)]/2a, where a, b, c are the coefficients of the quadratic equation of the form: ax^2 + bx + c = 0.

In our equation, we have:
a = 1 (coefficient of x^2)
b = 9 (coefficient of x)
c = 18 (constant term)

Substituting these values in our formula, we get:

x = [-9±sqrt((9)^2 - 4*1*18)] / 2*1,
x = [-9±sqrt(81 - 72)] / 2,
x = [-9±sqrt(9)] / 2,
x = [-9±3] / 2.

From here, we get two solutions:

For the smaller solution, we have: x = [-9 - 3] / 2 = -6.

For the larger solution, we have: x = [-9 + 3] / 2 = -3.

So, the solutions to the equation x^2 + 9x + 18 = 0 are x = -6 (for the smaller solution), and x = -3 (for the larger solution).

A​ 12-sided solid has faces numbered 1 to 12. The table shows the results of rolling the solid 200 times. Find the experimental probability of rolling a number greater than 10.

Answers

The experimental probability of rolling a number greater than 10 is [tex]17 \div 100[/tex]

The calculation is as follows;

The total no of times rolling = 200

The probability of rolling 11 = 16 times

And, The probability of rolling 12 = 18 times

So, the probability is

[tex]= (16 + 18) \div 200\\\\= 17 \div 100[/tex]

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Find x help me pls I will mark brainiest to first person to answer

Answers

Answer:

39.25 units squared

Step-by-step explanation:

Look at the attached picture

Hope it will help u....:)

Answer with step. Thanks

Answers

a cube has all the same heights, width, and height. therefore you have to multiply the one side by another to get one of the areas. in this case it’s 20•20=400. then you see how many sides there are. A cube has 6 sides. 400•6=2,400. hope this helps

Try it
Solve for x in this equation: a - b
= cx+d
Step 1: Subtract
from both sides of the equation.

Answers

a-b=xc+d
-d. -d
—————-
a-b-d=xc
divide by c
—————
a-b-d=x
——-
c

answer —> a-b-d/c
“a minus b minus d all divided by c”

Answer: cx

Step-by-step explanation:

Giving a lot of points help!

What is the value of x?

Answers

Answer:

Step-by-step explanation:

a triangle = 180

Q = 180 - (90 + 45)

Q = 180 - 135

Q = 45

Step-by-step explanation:

With reference angle 60°

perpendicular (p) = 2√3

hypotenuse (h) = ?

We know

sin 60° = p/h

√3/2 = 2√3 / h

cross multiply

h =( 2√3 * 2)/ √3

therefore h = 4

So

Now

with reference angle 45°

perpendicular (p) = x

base (b) = 4

Now

tan 45° = p/b

1 = x / 4

Therefore x = 4

Hope it will help you :)




Which triangle defined by the given points on the coordinate plane is similar to the triangle illustrated?

Answers

Answer:

The correct option in the attached image is:

D. (-1, 1), (-1, 5), (-7, 1)

Step-by-step explanation:

Please refer to the attached image.

The length of the horizontal segment of the graphed triangle is 3.  The length of the vertical segment of the triangle graphed is 2. We will use the Pythagorean theorem to find the length of the missing side thus:

x² = 2²+3²

x² = 4+9

x² = 13

x = √13 or 3.6

This makes our side lengths 2, 3, and 3.6

For option A, our vertices are (-1, 1), (-1, 4), (-6, 1). This means the length of the horizontal segment 5 and the length of the vertical segment 3.  This missing side length is calculated thus:

x² = 5²+3²

x² = 25+9

x² = 34

x = √34 or 5.83

This is not proportional to the triangle drawn, so it is not similar.

For option B, our vertices are (-1, 1), (-1, 5), and (-6, 1).  This makes the horizontal segment 5 units long and the vertical segment 4 units long.  This makes the missing side length

x² = 4²+5²

x² = 16+25

x² = 41

x = √41 or 6.4

These are not proportional to the triangle drawn, so the triangles are not similar.

For option C, our vertices are (-1, 1), (-1, 4) and (-7, 1).  This makes the length of the horizontal segment 6 and the length of the vertical segment 3.  This makes the missing side length

x² = 3²+6²

x² = 9+36

x² = 45

x = √45 or 3√5 or 6.7

These sides are not proportional to the sides of the triangle drawn, so the triangles are not similar.

For option D, our vertices are (-1, 1), (-1, 5) and (-7, 1).  This makes the length of the horizontal segment 6 and the length of the vertical segment 4.  This makes the missing side length

x² = 6²+4²

x² = 36+16

x² = 52

x = √52 or 2√13 or 7.21

These sides are all twice as long as the sides of the triangle drawn, this indicates that the triangles are similar. Therefore our answer is D.

Which of the following rectangular prisms will have a surface area of 24 square units? A rectangular prism with a length of 5, width of 3, and height of 1. A rectangular prism with a length of 2, width of 2, and height of 2. A rectangular prism with a length of 2, width of 1, and height of 2.

Answers

Answer:

ok the first one with the length , width , height of 5 , 3 , 1 has a surface area of 46

the second one with the length , width , height , of 2 , 2 , 2 has the surface area of 24

ok now i don't have to go any farther i found which one it is

the answer is the rectangular prism with the length of 2 the width of 2 and the height of 2

Step-by-step explanation:

Answer:

The orange one the L W H are all 2

Step-by-step explanation:

−7x+y =−19 −2x+3y =−19

Answers

I think the answer is (x,y)=(3,2)

What is the meaning of an adjacent interior angle?

Answers

An angle next to another interior angle

What is the factored form of the polynomial?

x2 – 16x + 48

Answers

Answer:

(x-12)(x-4)

Step-by-step explanation:

x^2 – 16x + 48---> your goal: a^2 - 2ab+ b^2 ,(a-b)^2

[x^2 - 2(8)x+48+16]-16

[x^2-2(8)x+64]-16

[(x-8)^2]-4^2  ---> a^2 - b^2 : (a-b)(a+b)

(x-8-4)(x-8+2)

(x-12)(x-4) ----> always check back work after have done

Check x^2-4x-12x+48

          x^2-16x+48 equal the given

Answer:

(x-12)(x-4)

Step-by-step explanation:

Which reasons did you include in your response? Check all that apply.

Answers

The reasons I include in my response are;

Meeting strong customer demandKeeping prices lowAvoiding unnecessary features

What is the justification?
Fulfilling strong consumer demand in terms of Super-Phonic feels that there is a strong demand for its particular products and services among its target market.

The company believes it is superior to its rivals at offering this kind of phone and service at a fair price, therefore keeping pricing low helps.Super-Phonic feels that incorporating smartphone functions into its phones will increase their cost and decrease their dependability, so they avoid adding needless features.

Sample response: Super-Phonic believes that demand among its target customers is strong for its specific products and services. The company thinks it is better than its competitors at providing this type of phone and service at a reasonable rate. Finally, Super-Phonic believes that adding smartphone features to its phones would make them more expensive and less reliable.

Based on what you have read, provide three reasons why Super-Phonic decided to make a specific type of phone in a specific way.

Which reasons did you include in your response? Check all that apply.

providing reliable service

keeping prices low

making durable phones

avoiding unnecessary features

meeting strong customer demand

Solve for x. 3/x-1 - 1/x^-1=5/x-1

Please show all work

Answers

3/(x-1) - 1/(x^2-1) = 5/(x-1)

Subtract 3/(x-1) from both sides

-1/(x^2-1) = 2/(x-1)

Factor x^2 - 1

-1/[(x-1)(x+1] = 2/(x-1)

Multiply by (x-1)(x+1) on both sides

-1 = 2 (x+1)

-1 = 2x + 2

Subtract 2 from both sides

-3 = 2x

Divide by 2 on both sides

-3/2 = x

Answer:

x = -3/2

Step-by-step explanation:

[tex]\frac{3(x+1)}{(x-1)(x+1)} - \frac{1}{(x-1)(x+1)} = \frac{5(x+1)}{(x-1)(x+1)} \\[/tex]  Find the common denominator

3(x+1) - 1 = 5(x+1)   Distribute

3x + 3 -1 = 5x +5    Combine Like terms

3x + 2 = 5x + 5      Solve for x

  2 = 2x +5

  -3 = 2x

  x = -3/2

Find the area of this figure. Use 3.14 for pi. Wrote your answer as a decimal.

Answers

Answer:

854.865 square meters

Step-by-step explanation:

A=πr^2

Radius is half the diameter

33/2= 16.5

A=π * r^2      r^2   is   r*r

A = 3.14 * 16.5 *16.5 = 854.865

Aubree is trying to understand why a student would pick computer technology as a college major. 64% of the sample she surveyed said that they picked computer technology because of the vast employment opportunities. Her survey comes from 1200 students in 30 different colleges across the nation. Can we infer a parameter from this information? What would it be?

A) No; 64% is not enough to create an inference.
B) Yes; the parameter is 30 of the colleges, so we can infer the same.
C) No; there are no statistics in this scenario.
D) Yes; the statistic is 1200, so we can infer that 1200 students are computer technology majors.
E) Yes; the statistic is 64% of computer technology majors choose the major because of the employment opportunities. We can infer that the parameter is the same.

Answers

Answer:

E.   Yes; the statistic is 64% of computer technology majors choose the major because of the employment opportunities. We can infer that the parameter is the same.

if i can have brainliest that would be great

The graphed line shown below is y = negative 2 x minus 8.

On a coordinate plane, a line goes through (negative 4, 0) and (negative 2, negative 4).

Which equation, when graphed with the given equation, will form a system that has infinitely many solutions? y = negative 2 x minus 8.

y = negative (2 x + 8)
y = negative 2 (x minus 8)
y = negative 2 (x minus 4)
y = negative (negative 2 x + 8)

Answers

Answer:

A

Step-by-step explanation:

Our given equation is: y = -2x - 8

In order to have an equation with infinitely many solutions, it needs to be the same as the given equation.

Look at the answer choices:

A) y = -(2x + 8) = -2x - 8

This is the exact same equation, which means that any solutions for the given will also be solutions for this one. That means there will be infinitely many solutions.

B) y = -2(x - 8) = -2x + 16

We can tell this is definitely not the same as the given, so eliminate.

C) y = -2(x - 4) = -2x + 8

Again, this has a +8 instead of -8, so it's not the same and wrong.

D) y = -(-2x + 8) = 2x - 8

Here, we have positive 2 as the slope instead of -2, so it's not the same and wrong.

Thus, the answer is A.

Hope this helps!

The question is wich of the 4 formulas is equivalent to

y = -2x-8

only the first option is equivalent / basically the same and would therefore give out infinite intersections/solutions

Adam Stewart
Monthly Income Statement
May 2016
Adam has recently obtained a loan with a monthly
minimum payment of $30 dollars.
How will Adam's net income change with the added
expense?
Income (after Taxes)
Total Income
$3100
What will be Adam's total expenses now?
Wages
$3,100
Expenses
What will be Adam's new net income?
$70
Food
Rent
Transportation
$150 Clothing
$850 Medical insurance
$110 Car insurance
$90
$40
Total expenses:
$1,310
Net income (income - expenses):
$1,790

Answers

Answer:

How will Adam’s income change with the added expense?: it will decrease

Total expenses: $1,340

New net income:$1,760

Step-by-step explanation:

Answer:

it will decrease

Total expenses: $1,340

New net income:$1,760

How is a credit union different from a retail bank?


A. Acredit union is a nondepository institution; a retail bank takes

customer's deposits.


B. A credit union and a retail bank are the same thing; there is no

difference between them.


C. A retail bank is "membership only", a credit union deals with the

general public


D. A credit union is a nonprofit entity; a commercial bank is a for-

profit entity

Answers

Answer:

The answer is (D.) A credit union is a nonprofit entity; a commercial bank is a for-profit entity.

Step-by-step explanation:

While Credit unions are not-for-profit organizations that exist to serve their members Retail banks are for-profit organizations that exist to serve the general public. Just like retail banks, credit unions accept deposits, make loans and provide a wide array of other financial services, but mainly from registered members.. But as member-owned and cooperative institutions, credit unions provide a safe haven to members only to save and borrow at reasonable rates.

Answer:

A. A credit union is a non-depository institution; a retail bank takes customer deposits.

Other Questions
Katya is developing a business message about a green initiative that her company is hoping to launch. In the process of creating the business message, she studies the background of the employees and considers their needs and priorities. This action belongs to which step of the AIM planning process? a) ideas structuring message b) analysis audience c) analysis message d) development audience review. +30 POINTS FOR THIS QUESTION1. I just bought a kite at the departmnet store for $5.95. The owner of the store bought it from a wholesaler for $3.10. Which price is retail price?The $5.95 is retail price because the owner got it for wholesale.2. What precentage of the retail price is the whole sale price in #1?3. If the sandals cost $58.00 wholesale and $105.00 retail, what is the markup in dollars?4.The markup in #3 is what percent of the retail?5.What precent of the wholesale in #3 is the markup?6. A dozen eggs are purchased from the farmer at $1.05 per dozen. They are then sold to the consumer for $1.45. What percent of the retail is the markup. Which of the following is true about filing a sexual harassment charge? a. It is a more likely result when organizations implement a zero-tolerance policy on harassment. b. It is best to file the charge directly with the EEOC and not press your case through company channels. c. It is a lengthy, expensive, and psychologically draining experience. d. Companies that can demonstrate employees failed to use internal procedures for reporting abusive behavior still will be unprotected in a court of law. Fevers are caused by: a. Fibrinogen acting on the fever tissues b. Fibrinogen acting on the hypothalamus c. Pyrogen acting on the fever tissuesd. Pyrogen acting on the hypothalamus Which of the following correctly describes how radio waves are transmitted andconverted into sound?1. Waves convert radio signals into sound.2. Particles in Earth's atmosphere carry sound.3. Receivers reflect the sound.1. Receivers carry radio signals.2. Particles in Earth's atmosphere reflect the signals.3. Waves convert the signals into sound.1. Waves carry radio signals.2. Receivers convert them into sound.3. Particles in Earth's atmosphere reflect the sound.1. Waves carry radio signals.2. Particles in Earth's atmosphere reflect them.3. Receivers convert them into sound. In 2021, its first year of operations, Kimble Corp. has a $900,000 net operating loss when the tax rate is 20%. In 2022, Kimble has $250,000 taxable income and the tax rate remains 20%. Assume the management of Kimble Corp. thinks that it is more likely than not that the loss carryforward will not be realized in the near future because it is a new company (this is before results of 2022 operations are known). (a) What are the entries in 2021 to record the tax effects of the loss carryforward Keystone predators can maintain species diversity in a community if they How is the heart made healthier by means of cardiovascular exercise? It grows in size. It makes more ATP energy. It pumps more blood during each beat. all of the above Miguel purchased a satellite dish and receiver for $100 from an electronics retailer. The monthly rate for satellite television service is $25. At the end of 8 months, how much total money, in dollars, will Miguel have spent on his satellite television service Build a generating function for ar, the number of distributions of r identical objects into (a) Five different boxes with at most three objects in each box (b) Three different boxes with between three and six objects in each box (c) Six different boxes with at least one object in each box (d) Three different boxes with at most five objects in the first box Why was the Confederacy interested in Indian Territory during the Civil War? i. It had a large supply of livestock. ii. It could serve as a buffer zone to help protect Texas. iii. It would supply the South with lead for bullets and weaponry. iv. It would connect the South to present-day New Mexico, Arizona, and California.A.i and iii onlyB.ii and iv onlyC.i, ii, and iv onlyD.i,ii,iii, and iv 5. A 28.4 g sample of aluminum is heated to 39.4 C, and placed in a calorimeter containing 50.0 g of water. Thetemperature of water increases from 21.00 C to 23.00 C. What is the specific heat capacity, C, of aluminum? Suppose a competitive market is comprised of firms that face identical cost curves. The firms experience an increase in demand that results in positive profits for the firms. Which of the following events are then most likely to occur?(i)New firms will enter the market.(ii)In the short run, price will rise; in the long run, price will rise further.(iii)In the long run, all firms will be producing at their efficient scale. A commercial enclosed gear drive consists of a 20o spur pinion having 16 teeth driving a 48-tooth gear. The pinion speed 350 rev/min, the face width 2 in, and the diametral pitch 6 teeth/in. The gears are grade 1 steel, through-hardened at 240 Brinell, made to No. 6 quality standards, uncrowned, and are to be accurately and rigidly mounted. Assume a pinion life of 108 cycles and a reliability of 0.90. Determine the AGMA bending and contact stresses and the corresponding factors of safety if 5 hp is to be transmitted. Please help again... 36 - 6s = 48How do you get the sum for s In the following reaction, H3PO4 (aq) + H2O (l) H2PO4 (aq) + H3O+ (aq) what happens when more H2PO4 (aq) is added to the solution? An Apple iPod sells for $781.29 and has a mail-in rebate for $55.00. Determine the cost after the rebate if an envelope costs $0.13 and a stamp costs $0.40 Louise Fulkerson is president of the Student Marketing Association at Baylor University. Louise and the otherofficers want to conduct a short survey to determine the type of programming they should offer for theupcoming year. Their population is defined as "students in the College of Business." One of the officerssuggests that each of them go into their classes, mostly seniors, and conduct the survey. "We can do it easilyand fast, and our professors will be glad to help the association out by giving us a few minutes to conduct thesurvey," says one of the officers. But Louise is worried about the sample. "Most of us are marketing majorsand we are all seniors taking senior classes. I would prefer to ask the Department Chairperson if we cansurvey students taking Fundamentals of Marketing because all majors have to take this course, and most ofthe future members of the Association will be coming from these Fundamentals classes." Louise is suggestingwhich one of the following sampling methods?A) quota sample B) purposive sample C) stratified sample D) representative sample E) systematic sample Which axiom of service-dominant logic applies to this statement? Customers don't buy a car (product)they buy the company's ability to add value through a defined set of benefits. Multiple Choice Service is the fundamental basis of exchange. Value is co-created by multiple parties, including the company and the customer. A unique experience is created when the customer interacts with the companys marketing efforts and product. Value is defined by the customer. A customer-centric approach has been supplanted by a newer service-dominant approach.