If m(2x−3)+n(x+1)=5x for all real numbers x, where m and n are constants, what is the value of m?

Answers

Answer 1

Answer:

m = 1

Step-by-step explanation:

From the question given,

m(2x − 3) + n(x + 1) = 5x for all real numbers x.

Since x is a real number, we can obtain the value of m as follow:

Let x = 1

m(2x − 3) + n(x + 1) = 5x

m(2×1 − 3) + n(1 + 1) = 5×1

m(2 – 3) + n(2) = 5

m(– 1) + n(2) = 5

– m + 2n = 5 ...... (1)

Let x = 2

m(2x − 3) + n(x + 1) = 5x

m(2×2 − 3) + n(2 + 1) = 5×2

m(4 – 3) + n(3) = 10

m(1) + n(3) = 10

m + 3n = 10 ...... (2)

– m + 2n = 5 ...... (1)

m + 3n = 10 ...... (2)

Solve by elimination method

Add equation 1 and 2

– m + 2n = 5

+ (m + 3n = 10)

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

5n = 15

Divide both side by 5

n = 15/5

n = 3

Substitute the value of n into any of the equation to obtain the value of m. Here, we shall substitute n into equation 2.

m + 3n = 10

m + 3(3) = 10

m + 9 = 10

Collect like terms

m = 10 – 9

m = 1

Therefore, the value of m is 1

Answer 2
m = 1 is the answer to your problem

Related Questions

I am getting headache In this question!! Can you solve it please!!? Please answer. Will mark brainliest!!

Answers

Answer:

Step-by-step explanation:

Find the quotient:

9/10 / 1/3

=> Take the reciprocal

=> 9/10 X 3/1

=> 27/10 = 2.7

Jennie spent 2h studying for exams.....

2 / 2/3

=> Take the reciprocal

=> 2/1  X  3/2

=> 6/2 = 3 subjects.

Calculate:

5 1/2 / 3

=> 11/2  /  3

=> Take the reciprocal\

=> 11/2  X  1/3

=> 11/6

A farmer has 9  1/2 ha  of land.......

=> 9  1/2  /  1  1/4

=> 19/2  /  5/4

=> Take the reciprocal

=> 19/2  X  4/5

=> 76/10

=> 7.6 crops.

I don't know the answer to the question named: Draw a picture to show how many 1/5 s are there in 7/10.

I know the answer to the other 4 questions. They are correct.

27/10 -> 2.7 because 9/10 times the reciprocal which is 3/1 = 27/10 -> 2.7

hello can plzz help me with this question wil mark u brainlest and its for 18 points the file is down below thank u :)

Answers

Answer:

a rectangular prism

Step-by-step explanation:

consists of 6 faces which are rectangles

Its a rectangle, because it has 4 sides and it also has two sides that are different in size.

PLS HELP ME I NEED THIS FOR HOMEWORK!!!!

Answers

Answer:

36 degrees

Step-by-step explanation:

Because it's a right angle, AOB and BOC are complementary, meaning they add up to 90 degrees.

(3x+30)+(6x-12)=90

9x+18=90

9x=72

x=8

AOB = 6x-12, so substituting

8 in for x gives us 48-12=36

The answer is 36 degrees

A recipe calls for 1/6 teaspoon of oregano and 1 1/4 teaspoon of pepper. What is the ratio of oregano to pepper
a. 1:12
b. 2:15
c. 1:3
d. 2:3

Answers

Answer:

b. 2:15

Step-by-step explanation:

oregano : pepper

1/6                1 1/4

Changing to an improper fraction

1/6                 5/4

Multiplying by 12 to get rid of the fractions

12 * 1/6           12*5/4

2                       15

1/6 = 1/6
1 1/4= 5/4
12•1/6=2
12•5/4= 15
ANSWER: 2:15

How are you? Heres the question of the day! 138 + 76 x 94 =

Answers

Answer:

7282

Step-by-step explanation:

To answer this use PEMDAS

First, we need to multiply: 76 x 94 = 7144

Then we add: 7144 + 138 = 7282

Answer:

[tex]\boxed{7282}[/tex]

Step-by-step explanation:

Using PEMDAS rule:

P = Parentheses

E = Exponents

M = Multiplication

D = Division

A = Addition

S = Subtraction

Now, let's solve:

[tex] \mathsf{138 + 76 \times 94}[/tex]

Multiply the numbers

[tex] \mathsf{ = 138 + 7144}[/tex]

Add the numbers

[tex] \mathsf{7282}[/tex]

Hope I helped!

Best regards!

Dave loves a bargain and buys a feather boa which
has been reduced in price by 70%. If the sale price
is £2.85, what was the original price of the boa?

Answers

Answer:

£9.50

Step-by-step explanation:

if the price was reduced 70%, then Dave is paying 30% of the original.

0.3 of £ = 2.85

£ = 2.85 / 0.3

£ = 9.5

£9.50

Answer:

$4.84

Step-by-step explanation:

2.85*.70=1.99

2.85+1.99=4.84

help
7. Given the figure, find the desired measurements

Answers

Answer:

  m∠F = 66°

  m∠D = 57°

Step-by-step explanation:

It looks like you have ...

  ∠D = ∠E = (4x +1)°

  ∠F = (5x -4)°

The sum of the angles in the triangle is 180°, so we have ...

  2(4x +1) +(5x -4) = 180

  13x -2 = 180

  x = 182/13 = 14

Then the angle measures are ...

  ∠D = ∠E = (4(14) +1)° = 57°

  ∠F = (5(14) -4)° = 66°

__

m∠F = 66°

m∠D = 57°

you got this!!! pay attention in class

Alexander bought a box of crackers at the store. He ate half of the crackers in the box on Monday, and he ate 1/2 of what was left on Tuesday. On Wednesday, he ate 1/3 of what was left after he was finished eating the crackers on Tuesday.
1) What fractional part of the total crackers originally in the box did Alexander
eat on Wednesday?
2) what fractional part of the total crackers originally in the box are left. 3) if there are 4 crackers left in the box after Alexander finished eating crackers on wensday, how many crackers were in the box before it was opened. (Please help!)

Answers

Answer:

Given the equivocal nature of this question, I will need to draw an assumption: I will assume that Ali ate from the cake and so did Jason — not Ali ate from the cake and Jason ate from Ali’s slice.

With that being said, the first approach is make both of these fractions have a common denominator, so that we can find how much each respective person ate from the total amount of slices. Intuitively, the common denominator is 12

12

, so this must be true:

Ali ate 4/12

4

/

12

of the cake;

Jason ate 3/12

3

/

12

of the cake

Adding these two fractions will give us 7/12

7

/

12

— the total amount eaten. Now, to find the amount left, we need only subtract 7/12

7

/

12

from 12/12

12

/

12

(the total amount of the cake). Doing so will give us

Step-by-step explanation:

There is 16 crackers.


1/3 = 4.


1/3 < 1/2


3/3 = 2/2


4 x 3 = 12.


if there were still 4 crackers AFTER eating 1/3 on wednesday, you add 12 + 4 = 16

the standard form: four and sixty-eight hundredths

Answers

Answer:

4 17/25  

Step-by-step explanation:

                                                              68

four and sixty-eight hundredths => 4 -------  or 4 34/50  or 4 17/25                    

                                                               100

Answer:

you would need to use decimals

Step-by-step explanation:

Savannah is currently one more than twice the age of her cat, Selena Gomez. In thirteen years, Savannah will be 1.5 times as old as Selena. What is Savannah's current age?

Answers

Answer:

23 years old

Step-by-step explanation:

Savannah's age = x

Selena's age = y

Right now, x = 2y + 1

In 13 years, x = 1.5y

Here, we must use simultaneous equations to work it out.

x = 2y + 1

x + 13 = 1.5 x (y + 13)   --> x + 13 = 1.5y + 1.5 x 13   --> x + 13 = 1.5y + 19.5

x + 13 = 1.5y + 19.5

- 13

x = 1.5y + 6.5

x = 1.5y + 6.5 = 2y + 1

1.5y + 6.5 = 2y + 1

- 1

1.5y + 5.5 = 2y

- 1.5y

5.5 = 0.5y

x 2

11 = y

We know that y = 11

Savannah is currently twice her cat's age plus 1, so...

11 x 2 + 1 = 22 + 1 = 23 years old

Hope this helps!

P.S. If the cat lives 13 more years after this, it will be a very old cat lol :)

Uhh I believe the answer is 23

Look at the graph in the image. 1. What are the coordinates of point P? A. (4,3) B. (4,30) C. (4,90) D. (40,90) 2. What is the independent variable? A. Bike A B. Bike B C. Time D. Distance Please include work!

Answers

Answer:

1.C (4,90) 2.C.Time

Step-by-step explanation:

the answer to number 1 is C because the x coordinate is 4 and the y coordinate is 90. The answer to 2 is c because the independent variable represents x, which is time in this case because it is labeled on the coordinate plane.

Clare has 150$ in her bank account. She buys a bike for 200$. What is Clares account balance now?

Answers

$50 is the answer now:) hope this helped!

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The amount left in the bank account is -$50.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Amount in the bank account = $150

Cost of the bike = $200

The amount left in the bank account.

= 150 - 200

= -$50

Thus,

The amount left in the bank account is -$50.

Learn more about expressions here:

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Veronica wants to buy a house that costs $249,900. She is going to make a 20% down payment. How
much is her down payment in dollars?

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

$49,980

▹ Step-by-Step Explanation

[tex]\frac{20}{100} * $249,900 \\\\= $49,980[/tex]

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Answer

49,900

Step-by-step-explanation

go two across and place the decimal there, so 20% will be turned into 0.20 and multiply 0.20 by the 249,900. When you are done you will get the amount.

Hope this helped!

colleen's family plans to paint the windows of their house. her father will paint twice as many windows as her mother, and Colleen and her 2 brothers will paint an equal number of the rest of the windows. Colleen decided to do her own share and her mother's share and paints 7 window, which is one less than her father's share. how many windows are in their house?

Answers

Answer: 24

Step-by-step explanation:

Colleen painted 7 windows, some of which were her mother's.

Her dad painted 7+1 (8) windows, and that is twice as much as what her mother was supposed to do. Her mother was supposed to do 4 windows. That means Colleen's share was 3 windows.

If all the kids had to do an equal amount of windows, than each kid had to do 3 windows.

8+7+3+3+3=24

The total windows in the house are 21.

What is an algebraic expression?

It is an expression contains a relation between different parameters (variables). It contains variable and constant values, along with algebraic operations.

In our given problem, the algebraic relation between different members work output and total windows can be expressed as:

Windows painted by colleen and her mother = 7

Windows painted by father = (Windows painted by colleen and her mother + 1)

                                          = (7 + 1) = 8

∴ Windows painted by father = 8

Now, as given,

2 Windows painted by mother = Windows painted by father

∴ Windows painted by mother = [tex]\frac{8}{2}[/tex] = 4

and Windows painted by colleen = 7 - 4 = 3

Colleen and her 2 brothers paint equal windows;

∴  They painted 3 windows each.

The total windows in the house is equal to total painted windows by mother, father, colleen and her two brothers:

⇒ 4 + 8 + 3 x 3 = 12 + 9 = 21

Hence the total windows in the house are 21.

To learn more about algebraic expression, refer to the link:

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Figure B is a scaled copy of Figure A.
9
3.6
3.6
9
Figure A
1.2
3
1.2
3
Figure B
What is the scale factor from Figure A to Figure B?

Answers

Answer:

1/3

Step-by-step explanation:

We are going to a small shape from a big shape, so the scale factor must be less than 1.

3 (which is a side on the blue figure) and 9 (a side on the green figure)

3 and 9 are easy numbers (for me...) so 3:9 is smaller than 1.

3:9 simplified is 1:3 = 1/3

so 1/3 is the scale factor.

Let's make sure it's right....

9 * 1/3 (green figure to blue figure) is = 3.

3.6 * 1/3 = 1.2

you can check it yourself on a calculator if you don't believe me

I hope this helps have a great day!!!!

Use the clues in the sentences to determine the best meaning for each bolded word
"He was a tenacious worker, and by sticking firmly to his plan, he succeeded."
"Students planning to become scientists must select a science major, such as biology, chemistry, or physics."
"I want to take a class in calligraphy, or artistic writing, at the community center."
Done

Answers

Answer:

1.  Determined

2. area of study

3. artistic writing

Step-by-step explanation:

Hope this helps! <3

Answer:

✔ determined

✔ area of study

✔ artistic writing

Explanation:

Simplify.

sin x cot x

Use algebra and the fundamental trigonometric identities. Your answer should be a number or use a single trigonometric function.

(please help, no idea how to solve this problem)

Answers

Answer:

cos x

Step-by-step explanation:

sin x = (sin x) / (1) and cot x = (cos x) / (sin x)

Put those fractions next to each other and multiply them out (numerator times numerator, denominator times denominator).

Cancel out the (sin x) in the numerator and denominator

You should be left with just (cos x) / (1), whoch equals just (cos x).

Hope this helps!

Cos x




My brother said that’s it

If -1< y< 0, which of the following has the greatest value?

Answers

Answer:

[tex]\boxed{\sf B}[/tex]

Step-by-step explanation:

-1 < y < 0

The value of y is negative.

Let’s take the number -0.5.

(-0.5)² = 0.25

1 - (-0.5) = 1.5

1 + (-0.5) = 0.5

2(-0.5) = -1

The greatest value is 1.5.

The answer is 1 - y.

B because the greatest one is 1.5 so the answer is 1-y

Solve x*2+5x+6=5x+10

Answers

Answer:

x = -2, 2.

Step-by-step explanation:

x*2 + 5x + 6 = 5x + 10

x^2 + 5x - 5x + 6 - 10 = 0

x^2 - 4 = 0

x^2 = 4

x = -2, 2 ( 2 solutions).

Answer for this question is X= -2

A reduced scale drawing of a rectangle measures 12 inches by 16 inches. The scale factor is 1/4. What is the size of the original rectangle? A. 3 in. * 4 in. B. 16 in. * 20 in. C. 36 in. * 48 in. D. 48 in. * 64 in. Please show ALL work! <3

Answers

Answer: D) 48 inches by 64 inches

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

Explanation:

The scale factor is 1/4 = 0.25, meaning that the original preimage is larger and it is reduced to get the image. The reduced width is 12, so the original width is 12/0.25 = 48 inches. The reduced length is 16 making the original to be 16/0.25 = 64.

--------

note that

48*0.25 = 12

64*0.25 = 16

showing how a 48 by 64 rectangle is reduced to a 12 by 16 rectangle after applying the scale factor to each dimension

D Work Is Showed Below Hopefully It’s Correct !!


If two 6-sided dice are rolled, what is the
probability of rolling double 2s?

Answers

16.7%

There are 6 ways we can roll doubles out of a possible 36 rolls (6 x 6), for a probability of 6/36, or 1/6, on any roll of two fair dice. So you have a 16.7% probability of rolling doubles with 2 fair six-sided dice.

Answer:

The answer is 16.7%

Step-by-step explanation:

There are 6 ways we can roll doubles out of a possible 36 rolls (6 x 6), for a probability of 6/36, or 1/6, on any roll of two fair dice. So you have a 16.7% probability of rolling doubles with 2 fair six-sided dice. hope this helped

Clara has a lawn in front of her house as mapped on the coordinate plane. She wants to plant a bed of flowers between the points P and Q. Find the length of the bed of flowers. Question 2 options: A) 2 units B) 7 units C) 13 units D) 8 units

Answers

Answer:

Look Below In the Explanation

Step-by-step explanation:

Point P has coordinates of (4,4) and point Q has coordinates of (4,-4).

Since both points have the same x-coordinates we can subtract point Q's y-coordinate from point P's y-coordinate.

I will set the equation up and try and figure this part by yourself. I hope you learned what to do from previous questions that are very similar to this that I answered.

4 - ( -4) = length of the bed of flowers

Hope that helps and maybe earns a brainliest!

Have a splendid day! :^)

The length of the bed of flowers will be 8 units.

What is Coordinates?

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Given that;

Clara wants to plant a bed of flowers between the points P and Q.

And, The value of P = (4, 4)

And, The value of Q = (4, - 4)

Now,

Since, Clara wants to plant a bed of flowers between the points P and Q.

And, The value of P = (4, 4)

And, The value of Q = (4, - 4)

Hence, The length of the bed of flowers will be;

PQ = √ (- 4 - 4)² + (4 - 4)²

PQ = √64

PQ = 8 units

Thus, The length of the bed of flowers will be 8 units.

Learn more about the coordinate visit:

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Which property is shown by -6 + 0 = -6? A. Commutative Property of Addition B. Identity Property of Addition C. Distributive Property D. Associative Property of Addition

Answers

Answer:

C

Step-by-step explanation:

It is c because you are adding. the 6 and o.

Answer:

Would be C.

Step-by-step explanation:

Just adding the 6 and the 0 basically.

-15 POINTS PLS HURRY- Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator. 4.5 cm to 4 cm

Answers

Hi there! :)

Answer:

[tex]\huge\boxed{\frac{9cm}{8cm}}[/tex]

We can disregard the units temporarily to create a ratio for 4.5 to 4:

4.5 is not a whole number- we can convert this number in the ratio to a whole number by multiplying both numbers by 2:

2 · (4.5 : 4) = 9 : 8

Express as a fraction:

[tex]9cm : 8cm = \frac{9cm}{8cm}[/tex]

The answer is 9cm over 8cm

COME ON!! What’s the answer 53 points!

Answers

Answer:

X : -6, 3, 15, -12

Y : 11, 5, -3, 15

Step-by-step explanation:

Hey there!

To find the y values we need to plug the x values into th given equation,

y = -2/3x + 7

-6 ⇒ 11

15 ⇒ -3

Now we have a x value missing to that that we work backwards,

we plug in 15 for y in the given equation,

15 ⇒-12

Hope this helps :)

Step-by-step explanation:

[tex]y = - \frac{2}{3} x + 7[/tex]

Substituting the values of x into the expression we have

For x = - 6

[tex]y = - \frac{2 }{3} ( - 6) + 7[/tex]

y = 11

For y = 5

Make x the subject

[tex]5 = - \frac{2}{3} x + 7[/tex]

Multiply through by 3

15 = - 2x + 21

-2x = 15 - 21

- 2x = - 6

Divide both sides by - 2

x = 3

For x = 15

[tex]y = - \frac{2}{3} (15) + 7[/tex]

y = - 10 + 7

y = - 3

For y = 15

[tex]15 = - \frac{2}{3} x + 7[/tex]

Multiply through by 3

45 = - 2x + 21

- 2x = 45 - 21

- 2x = 24

Divide both sides by - 2

x = - 12

Hope this helps you

Help pls will give brainliest

Answers

Answer:

The surface area of the rectangular prism is 292 cm²

The surface area is 292 cm2

David is making rice for his guests based on a recipe that requires rice, water, and a special blend of spice,
where the rice-to-spice ratio is 15 : 1. He currently has 40 grams of the spice blend, and he can go buy
more if necessary. He wants to make 10 servings, where each serving has 75 grams of rice. Overall, David
spends 4.50 dollars on rice.
How many servings can David make with the current amount of spice he has?​

Answers

Answer:

8 servings of rice

Step-by-step explanation:

8 servings of rice

the rice-to-spice ratio is 15:1 so 75 grams is 5 times more making it 75:5 each serving. 5 grams of spice is in each serving so divide 40 grams (which is the amount of spice he has) with the 5 grams of spice each serving. After you’ve done that, you’ll see you got 8 as your number, saying that it will take 8 servings of rice to finish the grams of spice.


Hope this helped!

what is the right answerrrr??

Answers

Answer:

C. Two lines are perpendicular if they have opposite slopes

Step-by-step explanation:

Hey there!

Well 2 lines that are perpendicylar have reciprocal slopes for example,

2 and 1/2 are 2 slopes that are perpendicular.

Hope this helps :)

C is the correct answer

A teacher has 1,425 marbles to divide equally among 9 groups of students to use in an experiment. What is the least number of marbles he could have left after the marbles are distributed?

Answers

Answer:

3

Step-by-step explanation:

Basically we need to find out whats the remainder of 1425 when you divide by 9.

1425/9 = 158 R3

R3 is 3 marbles left, so the answer is 3.

You first have to divide 1,425/ 9, you’ll later then get the answer of 158 with a remainder of 3, the three can’t be evenly distributed and so THE ANSWER IS 3

What are the solutions of the equation x4 – 5x2 – 14 = 0? Use factoring to solve.

Answers

Answer:

[tex]x=\pm 7\text{ or } x=\pm i\sqrt{2}[/tex]

Step-by-step explanation:

We have the equation:

[tex]x^4-5x^2-14=0[/tex]

Since this is in quadratic form, we can consider using u-substitution. Thus, we will let:

[tex]u=x^2[/tex]

Then by substitution:

[tex]u^2-5x-14=0[/tex]

Now we can solve normally. Factor:

[tex](u-7)(u+2)=0[/tex]

Zero Product Property:

[tex]u=7\text{ or } u=-2[/tex]

Back-substitute:

[tex]x^2=7\text{ and } x^2=-2[/tex]

Take the square root of both sides. Since we are taking an even-root, we will need to add plus-minus:

[tex]x=\pm 7\text{ and }x=\sqrt{-2}[/tex]

Therefore, our solutions are:

[tex]x=\pm7\text{ and } x=\pm i\sqrt{2}[/tex]

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Each conference has been held during leadership changes in the major countries. Water is pumped with a 120 kPa compressor entering the lower pipe (1) and flows upward at a speed of 1 m/s. Acceleration due to gravity is 10 m/s and water density is1000 kg/m-3. What is the water pressure on the upper pipe (II). Century Roofing is thinking of opening a new warehouse, and the key data are shown below. The company owns the building that would be used, and it could sell it for $100,000 after taxes if it decides not to open the new warehouse. The equipment for the project would be depreciated by the straight-line method over the project's 3-year life, after which it would be worth nothing and thus it would have a zero salvage value. No new working capital would be required, and revenues and other operating costs would be constant over the project's 3-year life. What is the project's NPV? (Hint: Cash flows are constant in Years 1-3.) A 0.753 g sample of a monoprotic acid is dissolved in water and titrated with 0.250 M NaOH. What is the molar mass of the acid if 21.5 mL of the NaOH solution is required to neutralize the sample? In what year why minority report was spot on was published SCIENCE1-1 FORCEWhat is gravitational force? ( ?"Write two factors that affect gravitation, ( Write one effect of gravitation that is seen in the sea. (What is gravitational constant? ( ?Write the value of gravitational constant? ( What is gravity? ( ?)Vrite two factors that affect ravity. ( -2 FORCEWhat is acceleration due to gravity? ( )rite the value of g at the poles and in the equator of the For what value of x does (x + 3)^2-5=0 Dog Up! Franks is looking at a new sausage system with an initial cost of $445,000 that will last for five years. The fixed asset will qualify for 100 percent bonus depreciation in the first year, at the end of which the sausage system can be scrapped for $53,000. The sausage system will save the firm $139,000 per year in pretax operating costs, and the system requires an initial investment in net working capital of $25,000. If the tax rate is 23 percent and the discount rate is 11 percent, what is the NPV of this project? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) What would happen in a State if its citizens lack relevant knowledge, skillsand positive attitude? in judiths cofers "gravity," how do elenitas mother and father conlict? a 50g sample of radioactive iodine-131 has a half-life of 8.0 days. After 32 days, how much is left? Which of the following would be a thesis statement? aIn this essay, I will show that prospective pet owners should adopt an animal from a shelter. bPuppies purchased from puppy mills often carry fatal illness such a heartworm and parvovirus. cProspective pet owners should consider adopting an animal from a a shelter in order to ensure that their pet is healthy. The world on the turtles back Answer the following questions properly (complete sentences and direct citations/quotations where necessary) at some point, the audience of this story probably decided the world on the turtles back is a metaphorical, or figurative, and not literal. When do you think this occurred? Do you think it changed the meaning of the story? Why or why not? The one-sample z test is: a. a hypothesis test b. used to test hypotheses c. concerning a single population with a known variance d. concerning at least one population e. concerning the variance in a population d. all of the above XYZ, Inc. has a beta of 0.8. The yield on a 3-month T-bill is 5%, and the yield on a 10-year T-bond is 7%. The market risk premium is 5.5%, and the return on an average stock in the market last year was 20%. What is the estimated cost of common equity using the CAPM? Show your work Based on the graph what are the solutions to ax^2 + bx+c=0 Select all that applyA. X=-2B. X=10C. X=5D. X=8 A type of related samples design in which participants are observed more than once is called a A. repeated measures design B. matched pairs design C. matched samples design D. both matched pairs design and matched samples design