The expression (y^20) (y^-5)^2 is equivalent to y^n. What is the value of n? n = 27 n = 10 n = -200 n = 17

Answers

Answer 1

Answer:

n = 10

Step-by-step explanation:

Using the rules of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex]

[tex](a^{m}) ^{n}[/tex] = [tex]a^{mn}[/tex]

Given

([tex]y^{20}[/tex] ) ([tex](y^{-5}) ^{2}[/tex]

= [tex]y^{20}[/tex] × [tex]y^{-10}[/tex]

= [tex]y^{(20-10)}[/tex]

= [tex]y^{10}[/tex] → in the form [tex]y^{n}[/tex] with n = 10

Answer 2

Answer:

10.

Step-by-step explanation:

I took the test with this question


Related Questions

Find the midpoint of A(5,8) and B(-9,-6)

Answers

The midpoint is (-2,1)

I need help asap please​

Answers

Answer:

draw a girl and a boy with a son or a daughter and you got a proptional relationship

Step-by-step explanation:

-9y + 5x - y - 13x
Like terms

Answers

Answer:

Step-by-step explanation:

like terms=-9y-y

and 5x-13x

like terms means terms with same variables

-10y-8x or -8x-10y either way is correct good luck!!!

The robotics team needs to purchase $350 of new equipment. Each of the students on the team plans to fundraise and contribute equally to the purchase. Which expression represents the amount that each student needs to fundraise? Which expression represents the amount that each student needs to fundraise? Explain your thinking.​

Answers

Answer:

s = students, m = money they pay

S(M)=350

The expression that represents the amount that each student needs to fundraise is -  y = [tex]$\frac{350}{x}[/tex]

We have robotics team who needs to purchase $350 of new equipment.

We have to determine the expression which represents the amount that each student needs to fundraise.

In a class of 50 students, it was asked to collect a total of $3000 for NGO funding. Find the amount contributed by each student assuming they all pay the equal amount.

Assume the amount paid by each student be x. Then -

50x = 3000

x = $60

According to the question, we have -

Assume that the number of students in the robotics team are x.

Assume that the money contributed by each member is $y.

Then, the expression represents the amount that each student needs to fundraise is -

xy = 350

y = [tex]$\frac{350}{x}[/tex]

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4 times as much as 3 is

Answers

Answer:

12

Step-by-step explanation:

4x3=12

12 four times three is 12

can someone help mee :(((?

Answers

Step-by-step explanation:

2√48= 13.86

3√147= 36.37

Perimeter: 13.86+13.86+36.37+36.37= 100.46

What does 8-2(y+4)=1/2(8y-12) equal?

Answers

y = 1

8-2y - 8 = 4y - 6

-2y = 4y - 6

-6y = -6

y = 1

Answer:

Step-by-step explanation:

8 - 2y - 8 = 4y - 6

-2y = 4y - 6

6y = -6

y = -1

Subtract 2/15 from 7/15

Answers

please give brainlist

in the way you wrote it the answer would be

1

_ ----

3

but but if you meant to do it backwards 7/15 and 2/15 the answer will 1

-----

3

hope this helped

find the midpoint of H(6,7) I(-7,-6)

Answers

Step-by-step explanation:

um that's hard djrjrjrjjre

Answer:

(- [tex]\frac{1}{2}[/tex], [tex]\frac{1}{2}[/tex] )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[ [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] ]

Here (x₁, y₁ ) = (6, 7) and (x₂, y₂ ) = (- 7, - 6) , thus

midpoint = ([tex]\frac{6-7}{2}[/tex] , [tex]\frac{7-6}{2}[/tex] ) = ( - [tex]\frac{1}{2}[/tex] , [tex]\frac{1}{2}[/tex] )

If the diameter of a circle is 18 feet, which is closest to the circumference?
A. 56 52 feet
B. 9 feet
C. 573 feet
D. 28 26 feet

Answers

Answer:

A. 56 52 feet

Step-by-step explanation:

[tex]d = 18 \: ft \\ c = \pi \: d \\ c = 3.14 \times 18 \\ c = 56.52 \: ft[/tex]

The closest to the circumference is  56 52 feet.

It is required to find the circumference.

What is circle?

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”. The perimeter around the circle is known as the circumference.

Given:

Diameter of a circle is 18 feet.

Radius=18/2=9  feet.

We know that

circumference of the circle= 2πr

According to given question we have,

circumference of the circle= 2πr

circumference of the circle=2 π*9

circumference of the circle=56.54 feet.

Therefore, the closest to the circumference is  56 52 feet.

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Solve the following equation for y: ax +by = c

Answers

Answer:

[tex]y = \frac{c-ax}{b}[/tex]

Step-by-step explanation:

ax + by = c

subtract ax from both sides

ax + by = c

-ax             -ax

=

by = c- ax

divide b on both sides

[tex]\frac{by}{b}[/tex] = [tex]\frac{c- ax}{b}[/tex]

=

[tex]y = \frac{c-ax}{b}[/tex]

87 times 422 divided by 4

Answers

Answer:

9178.5

Step-by-step explanation:

Follow PemDas

From Left to Right, you multiply 87 x 422, which is 36,714

Then, thake that number and divide it by 4, giving you 9,178.5

pls help, this is timed

Answers

Answer:

x/2 + 7 = 13 is the answer

Answer: C

Step-by-step explanation: He sold half of his comic, meaning dividing whatever he had by 2. Buying 7 more and it will equal 13.

what is the slope intercept form of the equation 15x-4y=32

Answers

Answer: y = 15/4 x - 8

Step-by-step explanation:

what is 7.393 rounded to the nearest hundreth

Answers

Answer:

7.390

Step-by-step explanation:

Answer:

7.39

Step-by-step explanation:

The hundredths place of 7.393 is the 9.

To round off to the nearest hundredth, drop all decimal place to the right of the hundredths place.

7.39

Since the first dropped digit to the right of the 9 is a 3, we keep the 9 as is.

Answer: 7.39

Answer ASAP Which is a y-intercept of the continuous function in the table? (5, 0) (0, 1) (0, 5) (1, 0)

Answers

Answer:

(0, 5 )

Step-by-step explanation:

The y- intercept is where the function crosses the y- axis.

This occurs when x = 0 , thus

From the table when x = 0 , f(x) = 5 , thus

y- intercept is (0, 5 )

y- intercept is (0, 5 )

i need help badly plzzzzz

Answers

Answer:

Sorry but this is not mathematics, if you put it in computer and technology, your question may be answered

Sorry but I can't help.

Answer:

option 1 is the correct answer

Step-by-step explanation:

since 12 is less than 20. then we will deduct -1 from y; which is 0

Find the perimeter of the polygon with the given vertices Round your answer to the nearest hundredth ​

Answers

Answer:

16.93 units

Step-by-step explanation:

Length of a segment having extreme ends [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by the formula,

d = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

ML = [tex]\sqrt{(4-1)^2+(0-4)^2}[/tex]

     = 5 units

LP = [tex]\sqrt{(1+1)^2+(4+2)^2}[/tex]

    = [tex]\sqrt{40}[/tex] ≈ 6.32 units

PN = [tex]\sqrt{(-1-2)^2+(-2-0)^2}[/tex]

     = [tex]\sqrt{13}[/tex]

     ≈ 3.61 units

NM = [tex]\sqrt{(4-2)^2+(0)^2}[/tex]

      = 2 units

Perimeter of the polygon MLPN = ML + LP + PN + NM

                                                     = 5 + 6.32 + 3.61 + 2

                                                     = 16.93 units

[tex](\sqrt{2}-3i)(\sqrt{2}-5i)[/tex] plz simplify

Answers

2-3i square root of two -5i

Answer:

-5i

Step-by-step explanation:

Which is the correct classification of StartRoot 32 EndRoot? irrational number, nonrepeating decimal irrational number, terminating decimal rational number, nonrepeating decimal rational number, terminating decimal

Answers

Answer:

its A  i got you

Step-by-step explanation:

The correct classification of [tex]\sqrt{32}[/tex] is it is an irrational number.

What is a perfect square number?

A perfect square number when taken the square root of it results in an integer.

Numbers that are not perfect squares when taken the square root of it are irrational numbers.

One method of obtaining square roots for perfect squares is prime factorization.

We know if a number is not a perfect square it is an irrational number.

[tex]\sqrt{32}[/tex] can be written as [tex]\sqrt{2\times2\times2\times2\times2[/tex] which is [tex]2^2\sqrt{2}[/tex].

= [tex]4\sqrt{2}[/tex] and [tex]\sqrt{2}[/tex] is not a perfect square so it is an irrational number.

learn more about irrational numbers here :

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Find three consecutive integers such that the sum of the first and third is 22.

Answers

Answer:

10,11,12

Step-by-step explanation:

10+12=22

Solve -9(t - 2) = 4(1-15).

Answers

Answer:

t = 74 / 9

Step-by-step explanation:

-9(t - 2) = 4(1 - 15)

-9t + 18 = 4 - 60

-9t + 18 = -56

 -18      -18

-9t = -74

/-9     /-9

t = 74 / 9

t = 8.22

Answer:

t = 74 / 9 ~= 8.222

Step-by-step explanation:

-9 ( t - 2 ) = 4 ( 1 - 15 )

-9 * t + -9 * -2 = 4 * 1 + 4 * -15

-9t + 18 = 4 + -60

-9t + 18 = -56

-9t = -56 + -18

-9t = -74

t = 74 / 9

Alternatively:

-9 ( t - 2 ) = 4 ( 1 - 15 )

-9 * t + -9 * -2 = 4 ( - 14 )

-9t + 18 = -56

-9t = -56 + -18

-9t = -74

t = 74 /9

Cheers.

Add and write the result in the form a+bi. a. (4 + 2i) + (-6 - 7i)

Answers

Answer:

- 2 - 5i

Step-by-step explanation:

Given

(4 + 2i) + (- 6 - 7i) ← remove the parenthesis

= 4 + 2i - 6 - 7i ← collect like terms

= - 2 - 5i

Triangle DEF is a right triangle. What is the measure of ZEFD?
D
57°
F
E

Answers

Answer:

               33°

Step-by-step explanation:

Sum of measures of angles in any triangle is 180°

The maesure of right angle is 90°

So:  m∠EFD = 180° - 90° - 57° = 33°

The variables for this experiment include mass, volume and the materials in the various balls, as well as their densities. In Part II, you will be comparing an inflated football with a deflated one. Use the drop-down menus to complete the sentences and identify the independent and dependent variables. In Part II, the independent variable, the one that is intentionally manipulated, is . (mass,volume,material,density) In Part II, the dependent variable, the one that you measure the response in, is . (mass,volume,matierl,density)

Answers

Answer:the first one is volume the second one is density

Step-by-step explanation:I took the test

Answer:

volume and density

Step-by-step explanation:

KN bisects ZJKM. If mZNKJ = 7x-9 and
m2JKM = x + 3, find m2JKN.

Answers

Answer:

Step-by-step explanation:

7x - 9 = x + 3

6x - 9 = 3

6x = 12

x = 2

7(2) - 9 + 2 + 3

14 - 9 + 5

5 + 5 = 10

slope of points (2,3) and (-4,12)​

Answers

Answer:

[tex]\huge\boxed{slope=-\dfrac{3}{2}}[/tex]

Step-by-step explanation:

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points (2, 3) and (-4, 12).

Substitute:

[tex]m=\dfrac{12-3}{-4-2}=\dfrac{9}{-6}=-\dfrac{9:3}{6:3}=-\dfrac{3}{2}[/tex]

01:38:56
What is the scale factor of a triangle with a vertex of A(-6, 4) that has been dilated with a center of dilation at the origin so
the vertex of its image is A'(-24, 16)?

Answers

Answer:

Answer: The scale factor of the triangle is 4

Step-by-step explanation:

13.) Solve for M
14.) Solve for A
17.) Solve for H

Answers

Answer:

See Below (Isolate the variables)

Step-by-step explanation:

13) d = 4AM solve for M

Divide both sides by 4A

[tex]\frac{d= 4AM}{4A}[/tex]

[tex]\frac{d}{4A} = M[/tex]

14) [tex]\frac{A}{6}[/tex] = f+h  solve for A

Multiply both sides by 6

A = 6( f+h)

15) h - m = qb solve for H

Add m to both sides

h - m = qb

  + m   +m

h = qb + m

True or false: Most proofs in geometry are called direct proofs because theorems and postulates are used to prove a statement using a direct approach

Answers

Answer:

The statement is true

Step-by-step explanation:

Most proofs are direct proofs becaue theorums & postulates prove them true straightforwardly :)

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