Mathematics High School

Simplify. Evaluate the numerical bases. 2^3 x ^3y ^-2 . 2^-5 xy^2

A. 4x^4
B. x^4 /4
C. x^4 / 2y^4
D. 2x^4 / y^4

Answers

Answer 1

9514 1404 393

Answer:

  B. x^4/4

Step-by-step explanation:

   [tex]2^3x^3y^{-2}\cdot 2^{-5}xy^2=2^{3-5}x^{3+1}y^{-2+2}=2^{-2}x^4\\\\=\boxed{\dfrac{x^4}{4}}[/tex]

_____

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  a^-b = 1/a^b

Related Questions

PLS help plssss 30 points plssss and how how u know it’s math plssssss helppppp plsssss

Answers

the answer is 17 because a right angle is 90 and you subtract 73 from it and get 17

Answer:

Complementary angles sum to 90°

x + 73° = 90°x = 90° - 73°x = 17°

Find the lateral surface area of the prism. 1.5ft 3ft 4ft

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Answer:

ammmm walang lumabas

Step-by-step explanation:

sorry talaga po sa susunod nalang


Suzanne pours 260 mL of milk into her glass.
Which expression shows how Suzanne could find this amount of milk in liters?

Answers

Answer:

1 L = 1000 mL

Step-by-step explanation:

B. 260 × 100

Find the value of x and y that will make each quadrilateral a parallelogram.​

Answers

Answer:

to solve for x. So, x = 4 and y = 3. COORDINATE GEOMETRY Graph each quadrilateral with the given vertices. Determine

How do you find this answer?

Answers

Answer:

if we use Pythagorean method, we  could know that A^2+B^2=C^2, so 5^2+12^2 equals 169, and 169 is 13^2

Step-by-step explanation:

what is summer academy help fr fr ☝️

Answers

Answer:

Summer school (or summer university) is a school, or a program generally sponsored by a school or a school district, or provided by a private company, that provides lessons and activities during the summer vacation.

Step-by-step explanation:

Answer:

                                                                               

Step-by-step explanation:

70/5.2 + 16-1 helppppp

Answers

Answer:

28.4615384615

28.46

Step-by-step explanation:

Answer:

28.46, if this help please subscribe to amiredagoat Yt i wanna change the world.

Step-by-step explanation:

Elizabeth is going to invest $480 and leave it in an account for 8 years. Assuming the interest is compounded continuously, what interest rate, to the nearest tenth of a percent, would be required in order for Elizabeth to end up with $670?

Answers

Answer:

4.2

Step-by-step explanation:

took a bullet for the team

Elizabeth would need an interest rate of 4.25% to make a profit of $670, to the closest hundredth of a percent.

What is compound interest?

The interest earned on savings that are computed using both the original principal and the interest accrued over time is known as compound interest. A = P(1 + r/n)^nt, where P is the principal balance, r is the interest rate, n is the number of times interest is compounded annually, and t is the number of years, which is the formula for compound interest.

Given, Elizabeth is going to invest $480 and leave it in an account for 8 years.

from the formula of compound interest

A = P(1 + r/n) ^nt

in our case,

A =670

P = 480

t = 8

Thus,

670 = 480(1 + r)^8

r = 4.25%

Therefore, an interest rate, to the nearest tenth of a percent, would be 4.25% required in order for Elizabeth to end up with $670

Learn more about compound interest here:

https://brainly.com/question/29335425

#SPJ2

help and pls get it right

Answers

Answer:

V= 32

Step-by-step explanation:

Multiply all lengths and the answer will be your volume.

2 x 2 x 8 = 32

Answer:

32 in ^3

Step-by-step explanation:

Which relationship is always true for the angles x, y, and z of triangle ABC? (4 points)

x + z = y

y + z = x

x + y + z = 180 degrees

x + y + z = 90 degrees

Answers

Answer:

y + z = x

Step-by-step explanation:

Annabelle's password is a 3-digit code that uses the numbers 0, 1, and 2. How many possible outcomes are there for Annabelle's password if the digits can repeat itself.

Group of answer choices

21

27

9

3

Answers

Answer:

9

Step-by-step explanation:

0,1,2

0,2,1

1,2,0

1,0,2

2,0,1

2,1,0

2,2,2

1,1,1

0,0,0

HELP PLSSSSSSS
NO LINKS​

Answers

Answer:

Is there anything else to this like a description or a sentence?

Step-by-step explanation:

Sorry I need more than this

Help help help help help help help

Answers

Answer:

Negative

Positive

Negative

Positive

Step-by-step explanation:

AnswerNegative ,Positive, Negative, Positive

Step-by-step explanation:

Which of the following is a vertex of the figure shown below after a reflection in the y axis?

Answers

Answer:

A.

Step-by-step explanation:

( 5,0)

When x axises is a reflection in the y axis

30% of the 90 students in sixth grade are in the drama club. How many sixth graders are in the drama club?

Answers

Answer: 27 kids.
Explanation: Multiply 30%, or 0.3, by 90. That will find your answer. Hope this helps!

Answer:

27

Step-by-step explanation:

Multiply 90 by 0.3 and you have your answer

Suppose that an individual has a body fat percentage of 13.6% and weighs 189 pounds. How many pounds of his weight is made up of fat? Round your answer to the nearest tenth.






HELPPPPPP!!!!!!!!!!

Answers

Answer:

25.7 lbs

Step-by-step explanation:

189/100=1.89

1.89*13.6=25.704

25.7 lbs

Answer:

25.7

Step-by-step explanation:

You need to do 13.6 percent of 189 which is 25.704 without rounding

Round that to the nearest tenth and you have 25.7

Hope I helped :)

5.

The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation.

A. 1/150 dollars per day; the cost is $1 for 150 days.
B. 25/1 dollars per day; the cost is $25 for each day.
C. 1/25 dollars per day; the cost is $25 for each day.
D. 75/1 dollars per day; the cost is $75 for each day.

Answers

Answer:

B

Step-by-step explanation:

75 divided by 3 = 25

so 25 dollars each day

Answer:

B. 25/1 dollars per day; the cost is $25 for each day.

Step-by-step explanation:

PLSS HELP IMMEDIATELY!!!! ILL MARK BRAINIEST IF U DONT LEAVE A LINK OR GUESS!!!!!

Answers

Answer:

the volume will be 56 m³

because it is made of 56 cubes of 1m ³ volume

I hope it helps

Answer:

1/3 cubic unit

Step-by-step explanation:

Can u please help me with this answer ??

Answers

It will take him 10 hours since 200(4)=800 and thus, 2.5(4)=10

Answer:

C) 10 hours

Step-by-step explanation:

(2.5/200)(800) = 10

A teenager can wash 2 tables per minute. Write an expression for how many tables they can wash in m minutes. *

Answers

Answer:

2m = x

x being the number of tables

Step-by-step explanation:

2 tables = 1 minute

x tables = m

(cross multiply)

2m = x

x being the number of tables

What is the definition of the slope of a line?

Answers

The slope of a line in the plane containing the x and y axes is generally represented by the letter m, and is defined as the change in the y coordinate divided by the corresponding change in the x coordinate, between two distinct points on the line.
In mathematics the slope or gradient of a line is a number that describes both the direction and the steepness of the line

HELP I HAVE 5 MIN
what is x?

Answers

Answer:

x = 42

Step-by-step explanation:

i hope this helps :)

In how many ways can 3 red balls , 4 blue balls and
5 white balls be selected from 5 red balls, 5 blue
balls and 7 white balls ?​

Answers

Answer:

1050 ways

Step-by-step explanation:

Total Number of red balls = 5

Total Number of blue balls = 5

Total Number of white balls = 7

Number of red balls selected = 3

Number of blue balls selected = 4

Number of red balls selected = 5

Using the multiplication and combination relation :

nCr * nCr * nCr

Red balls = 5C3

Blue balls = 5C4

White balls = 7C5

Using calculator:

5C3 * 5C4 * 7C5 = 10 * 5 * 21

(10 * 5 * 21) = 1050 ways

Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
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I don't want links.

Answers

Answer:

In the first one answer is r²

In second one answer is 3

Step-by-step explanation:

Yes it is Algebra with different powers

In first one (6r4+4r) +(__- 2r4 + 3r) = 4r4 + r2 + 7r

Like terms are added:

6r^4- 2r^4 + 4r  + 3r +____ = 4r^4 + r2+ 7r

4r^4+7r +___ = 4r^4 + r^2 + 7r

Therefore ___ = r^2

In second one:

(__ -8x - x^2)-(4x^2 -7 +6x) = -5x^2 +14x +10

Open the brackets

__  -8x - x^2-4x^2 +7 -6x = -5x^2 +14x +10

Add like terms

__ -14x -5x^2  + 7=  -5x^2 +14x +10

Therefore

___ + 7 = 10

___ = 10 -7 = 3

A car wash charges customers $6 per wash. It costs the car wash company $2 per wash for materials and a base cost of $80. How many car washes are necessary for the car company to make $60 in profit?

Answers

Answer:

35 Car Washes  

Step-by-step explanation:

Data:-

Sale Charges per wash = $6/-

Cost per wash = $2/-

Base cost = $80/-

Required Profit = $60/-

Required:-

No of Cash Washes to reach the required profit = ?

Solution:-

Sales - VC = Contribution Margin

$6 - $2 = $4 per unit

Required Sales in Unit = Fixed Cost + Target Profit / Contribution margin per unit

= $80 + $60 / $4

= 35 Units  

17 cm
17 cm
8 cm
3 What is the surface area of the triangular
prism shown?
A 1,430 cm?
B 2,360 cm?
35 cm
C 2,480 cm?
D 4,200 cm
I

Answers

D ststjdkgdgk dhdgkdlydky

11 to the power of negative 4 / 11 to the power to 8

Answers

Answer:

11^-12 or 11 to the power or negative twelve

Step-by-step explanation:

11^-4  / 11 ^ 8

according to the laws of indices, when dealing with powers, division is subtraction. so:

-4 - 8 = -12

answer = 11^ -12

Answer:

Hello There!

Your answer is:

2.2This is rounded, since you get this: 2.2094836e-42

If this helps, please give me a thanks!!

- abakugosimp

Which of the following are binomiola? Check oll that apply
A. x + 2
B. x+3/x
C-x^10
D. x^7
E x^2 + 18
F.x

Answers

a Binomial is 2 terms

so the solution is

A

B

E

Answer:

A, B, and E

Step-by-step explanation:

Binomials are equations that consist of two terms.

What is the absolute maximum or minimum of f(x) = 3x^2-5x-9

Answers

Answer:

Absolute minimum / vertex = (5/6,-133/12)

Step-by-step explanation:

Since a is positive, then the absolute maximum is ∞. The absolute minimum would be the vertex of the parabola, meaning x=-b/2a=-(-5)/2(3)=5/6, and y=3(5/6)^2-5(5/6)-9 = -133/12. Therefore, your absolute minimum / vertex is (5/6,-133/12)

(5/6,-133/12) You have to use the formula x=-b/2a

Please help me ASAP!!

Answers

Answer:

n = 6[tex]\sqrt{3}[/tex]

Step-by-step explanation:

you can create this proportion:

18/n = n/6

cross-multiply:

n² = 108

n = [tex]\sqrt{108}[/tex]

[tex]\sqrt{108}[/tex] = [tex]\sqrt{4}[/tex]·[tex]\sqrt{9}[/tex]·[tex]\sqrt{3}[/tex] = 2·3·[tex]\sqrt{3}[/tex] or 6[tex]\sqrt{3}[/tex]

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