Simplify the following:

a. (x5)(x8) =

b. k9/k2 =

c. (w6)3 =

d. (53)(54) =

Answers

Answer 1

Answer:

a. (x⁵)(x⁸)

[tex] {x}^{5 + 8} [/tex]

[tex] {x}^{13} [/tex]

b. k9/k2

[tex]k {}^{9 - 2} [/tex]

[tex] {k}^{7} [/tex]

c. (w⁶)³

[tex] {w}^{6 \times 3} [/tex]

[tex] {w}^{18} [/tex]

d. (53)(54)

[tex]53 \times 54 = 2862[/tex]


Related Questions

Assuming the lines are evenly spaced between the integers, what number, in decimal notation, is represented by the plotted point?

Answers

Answer:

-1.4

Step-by-step explanation:

There are five increments between -2 and -1, so we find the difference between -2 and -1, which is 1. Divide 1 by five (increments)=.2

This means that every increment is worth 0.2.

If we see it from the left to right, from -2, there are 3 increments to the right, so multiply three by 0.2 which is 0.6, add 0.6 to -2, which is -1.4.

Hope this helps!

the ratio of boys to girls in a group of 2:1. if there are 22 more boys than girls, work out how many people there are in a solo

Answers

Answer:

There is 11 girls but 33 people in solo

Help pls I have no idea lol

Answers

Answer:

a=7b=9c=4

Step-by-step explanation:

I SHAT MY PANTS HELP OMG

Answers

Answer:

Change your pants

.... um chile anyways

halp meh pls :'(
(screenshot below)

Answers

Answer:

the correct answer is answer choixe number 1

What is 10 divided by 5/8

Answers

Answer:

its 16 lol

Step-by-step explanation:

I just did the math

16

16 is the answer
hope i helped. have a good day

Mr. George has 5 bookcases in his classroom. Each bookcase has 3 shelves. Each
shelf has 20 books. How many total books are on Mr. George's 5 bookcases?
CLEAR
SUBMIT
300 books
160 books
100 books
60 books

Answers

Answer:

300

Step-by-step explanation:

For #4 is that the correct answer I just want to know before I submit it

Answers

The answer is 3 1/4 which is last choice

For a science experiment, students need to find 25% of 60 grams. How many grams is that?

Answers

Answer:
15 grams.

Explanation:
25% of 60 = 15

find (4.54×10^8)-(3.98×10^8)

Answers

Answer:

[tex]5.6 *10^7[/tex]

Step-by-step explanation:

Given

[tex](4.54*10^8)-(3.98*10^8)[/tex]

Required

Solve

[tex](4.54*10^8)-(3.98*10^8)[/tex]

Apply distributive law of algebra

[tex](4.54 - 3.98) *10^8[/tex]

Evaluate the expression in bracket

[tex](0.56) *10^8[/tex]

Remove bracket

[tex]0.56 *10^8[/tex]

When a number is in standard form: [tex]a * 10^n[/tex]

The value of a must be: [tex]1 \le a \le 10[/tex]

So, the expression becomes:

[tex]5.6 *10^{-1}*10^8[/tex]

Apply law of indices

[tex]5.6 *10^{-1+8}[/tex]

[tex]5.6 *10^7[/tex]

Which is the best description of the equivalency of the two expressions?
Expression 1
5x-2x-4+6x+3
Expression 2
6x-6x+6-x+10x-7
O The two expressions are not equivalent because when x2, the two expressions do not have the same value.
O The two expressions are not equivalent because when they are simplified, they do not have the same coefficients for
the andx terms.
O They are equivalent because the sum of the constants is the same in both expressions.
O They are equivalent because when X- 2, the two expressions have the same value,

Answers

First I wold simplify the expressions by combining like terms so #1 becomes 9x-1 and #2 becomes 9x-1

Once you’ve done this you can see that the two expressions are actually the same and therefore equal to each other.

The best description of the equivalency would be D
Just because the sum of the constants are equal doesn’t mean the expressions are. There could be different amounts of the variable (that’s why you should always simplify )

The graph of a proportional relationship is given along with an equation for a difference relationship. Which situation has a greater unit rate?
•A
• B
•C

Answers

Answer:

I think its C

Step-by-step explanation:

Answer:

its b

Step-by-step explanation:

yo welcome....

NANNIIII?!

A population is of size 5,500 observations. When the data are represented in a relative frequency distribution, the relative frequency of a given interval is 0.15. The frequency in this interval is equal to:

Answers

Answer:

825

Step-by-step explanation:

Calculation for what The frequency in this interval is equal to:

Using this formula

Frequency=Population size*Relative frequency interval

Let plug in the formula

Frequency=5,500 observations*0.15

Frequency=825

ThereforeThe frequency in this interval is equal to:825

The frequency in this interval is equal to 825.

Given

A population is of size 5,500 observations.

When the data are represented in a relative frequency distribution, the relative frequency of a given interval is 0.15.

Frequency;

The frequency is defined as the product of population size and relative frequency interval.

The following formula is used to calculate frequency in this interval is;

[tex]\rm Frequency= Population\ size\times Relative\ frequency \ interval\\\\[/tex]

Substitute all the values in the formula;

[tex]\rm Frequency= Population\ size\times Relative\ frequency \ interval\\\\Frequency= 5500\times 0.15\\\\Frequency= 55\times 15\\\\Frequency= 825[/tex]

Hence, the frequency in this interval is equal to 825.

To know more about relative frequency click the link given below.

https://brainly.com/question/8972639

HELP WILL GIVE BRIANLIEST
Which of the following best demonstrates the Distributive Property?


3 ( 2+ 4) = 4 ( 3+2)

4 ( 5 + 2) = 10 + 2

4 (5 + 6) = 4 * 11

3 + 6 + 2 = 2 + 3 + 6

Answers

Answer:

The 2nd equation

Write a multiplication sentence to find of the rectangle by moving numbers to the line

Answers

Answer:

caca

Step-by-step explanation:

Which expression is equivalent to 4x4x4x4x4

Answers

Answer:

Step-by-step explanation:

4x4x4x4x4=4^5=1024

Helppppppppppp me i need the answer

Answers

Answer:

Step-by-step explanation:

i think its embryonic

Hey what is 1x2+4 +5

Answers

Answer:

11....................

Answer:

11

Step-by-step explanation:

Let [tex]\sf a+b,a-b,ab,\dfrac{a}{b}[/tex] form an arithmetic sequence. What is the sixth term of this sequence?​

Answers

Answer:

171/40 or 4 11/40

Step-by-step explanation:

AP givena + b, a - b,  ab, a/bTo find6th termSolution

Common difference

Difference of first two

d = (a -b) - (a + b) = -2b

Difference of second two

d= ab - (a - b)

Difference of last two

d = a/b - ab

Now comparing d:

-2b = ab - (a - b)ab - a = - 3ba(1 - b) = 3ba = 3b/(1 - b)

and

a/b - ab = -2ba(1/b - b) = -2ba = 2b²/(b² - 1)

Eliminating a:

2b²/(b² - 1) = 3b/(1 - b)2b/(b+1) = -32b = -3b - 35b = - 3b = -3/5

Finding a:

a = 3b/(1 - b) = 3*(-3/5) *1/(1 - (-3/5)) = -9/5*5/8 =-9/8

So the first term is:

a + b = -3/5 - 9/8 = -24/40 - 45/40 = - 69/40

Common difference:

d = -2b = -2(-3/5) = 6/5

The 6th term:

a₆ = a₁ + 5d =-69/40 + 5*6/5 = -69/40 + 240/40 =171/40 = 4 11/40

Which pair of expressions is equivalent? A. 4x – 12 and 3(x – 3) e B. 2x B. 2(x + 3) + 1 and 2x + 6 C. 11x – 4 + 2x and 13x - 4 D. X-5 - 10x and -11% - 5​

Answers

Answer: C

Explanation: 11x-4+2x is equal to 13x-4

I NEED HELP THIS IS DUE IN THIRTY MINUTES
convert decimals to fractions
1.167
2.4
1.75

Answers

Answer:

1167/1000

24/10

175/100

Step-by-step explanation:

1.167

we consider the point is equal to 1. After that point, all numbers, we consider as zero.

so, the answer would become:

1167/1000

Karl is thinking of holding a mini lottery to raise money.

Answers

Answer:

ok

Step-by-step explanation:

Can somebody help me on this ?

Answers

Answer:

drag the protactor so that the the bottom, middle line is centered in point B, and the bottom edge is flat against line BC

the angle will be whatever number AB lines up with on the outer ring (the big numbers)

Step-by-step explanation:

Find the length of the third side to the nearest tenth.

Answers

Answer:

2.2

Step-by-step explanation:

9-4=5

[tex]\sqrt{5} =2.2361[/tex]

2.2

what is another way to write 2.24 x 100

Answers

Answer:

224

Step-by-step explanation:

2.24*100 is 224

You can do it two ways.

First way: use a calculator

second way: multiply it out with normal multiplication

third way: Each zero is one place. There are two zeroes in 100. So in 2.24, you move the point (dot) to the right TWO TIMES. THat makes it 224.0, which is basically 224.

Marquis started at an elevation of 3000 feet and hiked down a mountain at a constant rate. His elevation decreased 500 feet per hour.
Graph the relationship between Marquis’ elevation and time as he hiked down the mountain.

Answers

Answer:

if u divide it then slop  it u will get your answer

Step-by-step explanation:

Order the numbers from least to greatest. Put the lowest number on the left. 11/12 , 9/8 , 1/3 ,

Answers

Answer:

1/3,11/12,9/8

Step-by-step explanation:

Hi! Let's start off with creating common denominators for all three of these fractions.

The LCM (least common multiple) of these three denominators is 24, which means that the three numbers you see at the bottom of the fraction (12, 8, and 3) all in some way have a number that will cause it to multiply to 24, and will make it much more easier to determine the fraction.

1) Change all of the denominators into 24 by multiplying the right number

11/12×2/2=>22/24

9/8×3/3=>27/24

1/3×8/8=>8/24

So now I want you to imagine that the denominators don't exist. From there, you can sort out the fractions from least to greatest! Hope you understood this :)

slope of and a ​y​-intercept of :−56

Answers

Answer:

Step-by-step explanation:

your questions may have left out what the slope is.. but.. what ever it is.. just use m =  ( your number )

and plug it into this slope-intercept formula  [ y = mx +b }

y = mx -56 ..  just plug your slope into the variable m

Write the equation for the line that has the given slope and contains the given point.

slope = −2

passes through ( 3 , 1 )

Answers

Answer:

Step-by-step explanation:

y = mx + b

m = slope

b = y intercept

y and x in the equation represent the coordinate points (3,1)

so substituting,

y = -2x + b

1 = -2(3) + b

1 = -6 + b

b = 7

so the final equation is,

y = -2x + 7

George lost 12 1/4 kilograms on his diet. How
many grams did he lose?

Answers

12250 grams. i converted it to a decimal the moved it 3 spots to the right

Answer: 12250 Grams

Step-by-step explanation:

1 Kilogram = 1000 grams.

12 Kilograms x 1000 Grams = 12000 Grams.

1/4 = 0.25

0.25 Kilograms x 100 Grams = 250 Grams

12000 + 250 = 12250.

Answer: 12250 Grams.

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