Rewrite the equation by completing the square. x^{2}+16x+64 = 0

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.

Step-by-step explanation:

green: 6/4

red: 7/4

this is all i know

I hope this helps! :)

The answer is 120 degree

Pls mark as brainliest

Answer:

Simple 1 part 120 degrees

Step-by-step explanation:

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:

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

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%.

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]

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.

Answer:

The answer is

Step-by-step explanation:

x² + 12x - 64

To factorize the expression write 12x as a difference

That's

x² + 16x - 4x - 64

Factor out x from the expression

That's

x( x + 16) - 4x - 64

Factor out - 4 from the expression

That's

x( x + 16) - 4 ( x + 16)

Factor out (x + 16) from the expression

We have the final answer as

Hope this helps you

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:

2(7n+2m)

2(7n+(5m-3m))

answer: 2(7n+2m)

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:

-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:

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:

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:

x = -8

Step-by-step explanation:

-10x-5 = -8x + 11

-10x + 8x = 11 + 5

-2x = 16

x = 16/-2

x = -8

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.

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]

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:

-43

Step-b-y-step explanation:

f(x)= -x^2+7x-13  so

f(-3)= - (-3)^2 + 7(-3) - 13

= -9 - 21 - 13

= -43.

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:

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:

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:

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:

384 sq mm

Step-by-step explanation:

Remember that the diagonals of a rhombus are perpendicular bisectors of each other.

So, one side of the rhombus, half the longer diag and half the shorter diag form the 3 sides of a right triangle

with the rhombus side being the hypotenuse.

In this case, let the shorter diagnoal be x mm. In the right triangle,

Hypotenuse = 20

One side = 32/2 = 16

Other side = x/2

Applying Pythagoras principle,

[ check the file attatched ]  (taking only the positive square root)

So the shorter diagonal = 12*2 = 24 mm

Area of the rhombus is given by the formula (1/2)*d1*d2 where d1, d2 are the 2 diagonals.

Here, the area = (1/2)*32*24 = 32*12 = 384 sq mm

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:

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

49

▹ Step-by-Step Explanation

Substitute:

13 + 6(6)

Solve:

6 * 6 = 36

13 + 36 = 49

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Answer: 49

Step-by-step explanation: To evaluate 13 + 6y if y = 6,

we start by substituting 6 in for y.

So we have 13 + 6(6).

Remember to use parentheses when

substituting numbers in for variables.

Now, we use the order of operations to simplify from here.

Since multiplication comes before addition, our next step is

to multiply 6(6) to get 36, and we have 13 + 36, which is 49.