What is the constant of proportionality (unit rate) for the following equation:a = 156 · n

Answer:

See below.

Step-by-step explanation:

The graph is very unclear, but if you look at x = 2, and you go up until you intersect a point on the line, the y-coordinate of that point is the value written on the graph to the left of the y-axis.

Answer:

i think the answers c or d

by the way are you on odyssey ware or USA test prep

Step-by-step explanation:

Greetings from Brasil....

Looking at the figure we can say that:

and

DF = 9X - 15

DE = 4X + 10

EF = 2X - 1

So

DF = DE + EF

9X - 15 = (4X + 10) + (2X - 1)

X = 8 and

DF = 9X - 15

The solution is, the value of DF is 57.

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

here, we have,

from the given information, we get,

DF = DE + EF

and

DF = 9X - 15

DE = 4X + 10

EF = 2X - 1

So, we have to simplify ,

DF = DE + EF

9X - 15 = (4X + 10) + (2X - 1)

X = 8 and

DF = 9X - 15

DF = 57

Hence, The solution is, the value of DF is 57.

To learn more on simplification click:

brainly.com/question/28996879

#SPJ3

Answer:

Read Exp:

Step-by-step explanation:

Exponents are like a simpler way to multiply something by itself a certain amount of times.

So like if you were to see 7^4 on a test or assignment you would solve it like this:

- 7x7x7x7.

It just means 7 times itself 4 times. NOT 7 times 4.  

Answer:

See below.

Step-by-step explanation:

1) What percent of 29 is 3?

3/29 * 100% = 10.3

2) What percent of 33.5 is 21?

21/33.5 * 100% = 62.7%

3) What percent of 55 is 34?

34/55 * 100% = 61.8%

4) 41% of 78 is what?

41% * 78 = 0.41 * 78 = 32.0

5) 28% of 63 is what?

28% * 63 = 0.28 * 63 = 17.6

6) 58% of what is 63.4?

58% * x = 63.4

0.58x = 63.4

x = 63.4/0.58 = 109.3

Answer:

48 = 12y

Step-by-step explanation:

First, we simplify

6 * 7 = 42

6 * 3y = 18y

6 * y = 6y

6 * 1 = 6

Then, rewrite the expression

42 - 18y + 6y + 6

Now, rearrange the expression

42 + 6 - 18y + 6y

Then, simplify

48 - 12y

Hope this helps!

Answer:

48 - 12 y

Step-by-step explanation:

6 (7 - 3 y) + 6 (y + 1)

Use distributive property to get rid of the parentheses:

42 - 18 y + 6 y + 6

now combine like terms:

(42 + 6 ) + (- 18 y + 6 y) = 48 - 12 y

Answer:

The mean and standard deviation of the number of correct answers is 3 and 1.55 respectively.

Step-by-step explanation:

We are given that a quiz consists of 15 multiple choice questions, each with five possible answers, only one of which is correct.

Let X = the number of correct answers

The above situation can be represented through binomial distribution;

[tex]P(X = x) = \binom{n}{r}\times p^{r}\times (1-p)^{n-r}; x = 0,1,2,3,......[/tex]

where, n = number of samples (trials) taken = 15 multiple choice questions

            r = number of success

            p = probability of success which in our question is probability of

                  one correct answer out of 5, i.e; p = [tex]\frac{1}{5}[/tex] = 0.2

So, X ~ Binom(n = 15, p = 0.2)

Now, the mean of the number of correct answers is given by;

         Mean of X, E(X) = [tex]n \times p[/tex]

                                    = [tex]15 \times 0.2[/tex] = 3

And the standard deviation of the number of correct answers is given by;

       Standard deviation, S.D.(X) = [tex]\sqrt{n \times p\times (1-p)}[/tex]

                                                     = [tex]\sqrt{15 \times 0.2\times (1-0.2)}[/tex]  = 1.55

Answer:

X = 8.5, Y = 6.5

Step-by-step explanation:

X = # of children's books

Y = # of puzzle books

Amelie wants to buy 2 more children's books than puzzle books.

15 - 2 = 13 (Save the 2)

13 / 2 = 6.5

6.5 + 2 = 8.5

So; 8.5 + 6.5 = 15

X = 8.5

Y = 6.5

Answer:

x = -8

Step-by-step explanation:

-10x-5 = -8x + 11

-10x + 8x = 11 + 5

-2x = 16

x = 16/-2

x = -8

Answer:

2m + 4 = 28

Step-by-step explanation:

Zach = 28 years old

2 times Maya's (m) age

2*m

4 years older plus twice Maya's age.

2 * m + 4 = 28

2m + 4 = 28

Hope it helps : )

Answer:Maybe ffor the positive numbers you could use like 1,2,3,4,5,6,7,8, and 9. For the negitive number could be like -1,-2,-3,-4,-5. And zero could  repersent  the middle. Get it or no?

Step-by-step explanation:

Step-by-step explanation:

green: 6/4

red: 7/4

this is all i know

Answer:

-5

Step-by-step explanation:

counting is like backwards in negatives so a +5 is slow and a +25 is high but in negatives its the opposite because you are missing that many

I dont really know who to explain it but I hope this helps

Answer:nnn

Step-by-step explanation:

jjj

Answer:

see explanation

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x - 6)² + (y + 1)² = 40 ← is the equation of a circle in standard form

centre = (6, - 1) and r = [tex]\sqrt{40}[/tex] = 2[tex]\sqrt{10}[/tex]

Question: If the subspace of all solutions of

Ax = 0

has a basis consisting of vectors and if A is a ​matrix, what is the rank of​ A.

Note: The rank of A can only be determined if the dimension of the matrix A is given, and the number of vectors is known. Here in this question, neither the dimension, nor the number of vectors is given.

Assume: The number of vectors is 3, and the dimension is 5 × 8.

Answer:

The rank of the matrix A is 5.

Step-by-step explanation:

In the standard basis of the linear transformation:

f : R^8 → R^5, x↦Ax

the matrix A is a representation.

and the dimension of kernel of A, written as dim(kerA) is 3.

By the rank-nullity theorem, rank of matrix A is equal to the subtraction of the dimension of the kernel of A from the dimension of R^8.

That is:

rank(A) = dim(R^8) - dim(kerA)

= 8 - 3

= 5

Answer:

20% of 45 is 9. sale price- 9$

Step-by-step explanation:

20% of 45

20/100 = 0.20 (0.20) (45) = 9

Answer:

37.50

Step-by-step explanation:

45 ÷ 80% = 37.50

÷80% because original price reduced TO 80%.

0 because there is no 7 on a fair 6-sided die

Answer:

The probability of rolling a "7" on a fair 6-sided die is 0/6 or 0% because there is no value of 7 to be rolled on such a die. The probability of flipping a tails on a  fair coin is 1/2 or 50% because there are only two sides to a coin and tails is one of those sides.

Answer:

0=0

Step-by-step explanation:

(x+6)(x-5) = x^2 + - 30

Step 1: Simplify both sides of the equation.

x^2 + x-30 = x^2 + x-30

Step 2: Subtract x^2 from both sides.

x^2 + x - 30 - x^2 = x^2 + x - 30 - x^2

x-30=x-30

Step 3: Subtract x from both sides.

x-30-x=30-x

-30 = - 30

step 4: Add 30 to both sides.

-30+ 30 = -30 + 30

0=0

While this is with theta instead of A it still is the same thing. I hope this helps

Answer:  see proof below

Step-by-step explanation:

Use the following Double Angle Identity:

cos 2A = 2 cos²A - 1

Proof RHS → LHS

Given:                            [tex]\sqrt{2+\sqrt{2+\sqrt{2+2cos8A}}}[/tex]

Factor:                           [tex]\sqrt{2+\sqrt{2+\sqrt{2(1+cos8A)}}}[/tex]

Let α = 4A:                      [tex]\sqrt{2+\sqrt{2+\sqrt{2(1+cos2\alpha)}}}[/tex]

Double Angle Identity:   [tex]\sqrt{2+\sqrt{2+\sqrt{2(1+2cos^2\alpha-1)}}}[/tex]

Simplify:                            [tex]\sqrt{2+\sqrt{2+\sqrt{2(2cos^2\alpha)}}}[/tex]

                                          [tex]\sqrt{2+\sqrt{2+2cos\alpha}}}[/tex]

Substitute (α = 4A):           [tex]\sqrt{2+\sqrt{2+2cos4A}}}[/tex]

Factor:                               [tex]\sqrt{2+\sqrt{2(1+cos4A)}}}[/tex]

Let β = 2A                          [tex]\sqrt{2+\sqrt{2(1+cos2\beta)}}}[/tex]

Double Angle Identity:     [tex]\sqrt{2+\sqrt{2(1+2cos^2\beta-1)}}}[/tex]

Simplify:                             [tex]\sqrt{2+\sqrt{2(2cos^2\beta)}}}[/tex]

                                          [tex]\sqrt{2+2cos\beta}[/tex]

Substitute (β = 2A):            [tex]\sqrt{2+2cos2\alpha}[/tex]

Factor:                                 [tex]\sqrt{2(1+cos2\alpha)}[/tex]

Double Angle Identity:       [tex]\sqrt{2(1+2cos^2\alpha-1)}[/tex]

Simplify:                               [tex]\sqrt{2(2cos^2A)}[/tex]

                                             2 cos A

2cos A =  2cos A   [tex]\checkmark[/tex]

Answer:

x=3

Step-by-step explanation:

The line of reflection would be at x=3. It’s like a mirror.  The reflection is backward, but the same distance from the line of reflection, so the line needs to be halfway between the two shapes.  Since C is at 4 and C’ is at 2, the line of reflection has to be at 3.

Answer:

a

Step-by-step explanation:

Under a clockwise rotation about the origin of 270°

a point (x, y ) → (- y, x ) , thus

f(x, y ) = (- y, x )

Given:

Function 'f' with two variables 'x' and 'y'.

To find:

Function rule if the parent function 'f' is rotated by 270° clockwise.

Solution:

A function given with two variables 'x' and 'y',

f(x, y) → (x, y)

If this function is rotated by 270° clockwise, the function rule will become,

f(x, y) → (-y, x)

Therefore, Option A will be the correct option.

Answer:

10

Step-by-step explanation:

In any polygon

exterior angle + interior angle = 180° , thus

exterior angle + 144 = 180 ( subtract 144 from both sides )

exterior angle = 36°

The sum of the exterior angles = 360°

Thus number of sides n is calculated as

n = 360 ÷ 36 = 10

Answer:

Step-by-step explanation:

One of the interior angles of a polygon can be found using the formula

where n is the number of sides of the polygon

From the question

One of the interior angles = 144

To find the number of sides substitute this value into the above formula and solve for n

That's

Cross multiply

We have

Expand the terms in the bracket

Group like terms

Divide both sides by - 36

That's

We have the final answer as

Hope this helps you

Answer:

Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

where

l is the length

w is the width

From the question

Perimeter = 74 inches

The statement

The length of a rectangle is 2 inches less than twice it’s width is written as

l = 2w - 2

Substitute this expression into the perimeter formula and solve for the width

That's

74 = 2(2w - 2) + 2w

74 = 4w - 4 + 2w

6w = 78

Divide both sides by 6

w = 13

Substitute this value into l = 2w - 2

l = 2(13) - 2

l = 26 - 2

l = 24

Therefore we have

length = 24 inches

width = 13 inches

Hope this helps you

Answer:

3

Step-by-step explanation:

Cube volume formular = Side^3

27 = x^3

[tex]\sqrt[3]{27} = 3\\[/tex]

Check = 3*3*3 = 27

3 is the answer

Step-by-step explanation:

To find the factors of -20 (or 20), we ask ourselves: what numbers multiply each other to get -20?

We have:

-20 * 1

-10 * 2

-5 * 4

5* -4

10 * -2

20 * -1

All of these pairs are factors of -20. Choose two that you want to use! Hope this helps!

Answer:

2 and -10 or 4 and -5

Step-by-step explanation:

An integer is any whole number, positive or negative (so not fractions, decimals.... just numbers like -1, -2, 10, etc.).

Hence, there is not only one answer to your question...

It could be 2 and -10, 4 and -5... just not any decimals or fractions!

God bless and stay safe! I hope this helped.

I hope this helps! :)

The answer is 120 degree

Pls mark as brainliest

Answer:

Simple 1 part 120 degrees

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

Since 4/2 = 2 and 5/2 is 1/2 more than 4/2, then 5/2 is equal to 2 1/2 which can be rewritten as 2.5

Answer:

5/2 = 2,5

5  to divide 2 = 2,5

Step-by-step explanation:

Answer: 484

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

Work Shown:

First let's compute f(2). We replace every x with 2 and then use PEMDAS to simplify

f(x) = -x^4 + 5x - 4x^2

f(2) = -(2)^4 + 5(2) - 4(2)^2

f(2) = -16 + 5(2) - 4(4)

f(2) = -16 + 10 - 16

f(2) = -6 - 16

f(2) = -22

Then we square this result to find the value of [tex][ f(2) ]^2[/tex]

[tex]f(2) = -22\\\\\left[ f(2) \right]^2 = [ -22 ]^2\\\\\left[ f(2) \right]^2 = 484[/tex]

Answer:

The rate of change of the function = 5

Step-by-step explanation:

From the given parameters, we have;

The number of months Janenne has belonged to the book-of-the-month-club = 12

The amount Janenne has spent on the club = 70.45

The amount she paid in the first month = Monthly fee + 10.45

Let the monthly fee = x

The total amount Janenne has spent on the club  can be given by the following formula;

10.45 + 12×x = 70.45

12×x = 70.45 - 10.45 = 60

x = 60/12 = 5

The monthly due of the book club = 5

Therefore, the rate of change of the function × 5

The function of the amount spent on the club = Y = t×x

Where;

x = The rate of change of the function

t = The time in months

The rate of change of the function = 5.