hey guys how do you simplify this fully?​

Hey Guys How Do You Simplify This Fully?

Answers

Answer 1

Answer:

32

Step-by-step explanation:

In 100^1000,

100 can be written as,

100 = 10 x 10 = 10^2

100^1000

= 10^( 2 * 1000 )

= 10^2000

10 can be written as,

10 = 2 x 5

10^2000

= ( 2 x 5 )^2000

Formula : -

( a x b )^n = a^n x b^n

Here,

a = 2

b = 5

n = 2000

( 2 x 5 )^2000 = 2^2000 x 5^2000

[ 2^2005 x 5^2000 ] / 100^1000

= [ 2^2005 x 5^2000 ] / [ 2^2000 x 5^2000 ]

Formula : -

a^m x b^n / a^c x b^d

= a^( m - c ) x b^( n - d )

Here,

a = 2

m = 2005

c = 2000

b = 5

n = d = 2000

[ 2^2005 x 5^2000 ] / [ 2^2000 x 5^2000 ]

= 2^( 2005 - 2000 ) x 5^( 2000 - 2000 )

= 2^5 x 5^0

{ Note : Any number power 0 ( except 0 ) is 1.

That is 0^0 ≠ 1, but 5^0 = 1. }

= 2^5 x 1

= 2^5

= 2 x 2 x 2 x 2 x 2

= 32


Related Questions

In a sample of 150 batteries, 18 did not work properly. Choose the percent of the sample that was defective

Answers

Divide the number of defective by the total number of batteries then multiply by 100 to get the percent.


18/150 = 0.12

0.12 x 100 = 12%

Answer: 12%

Can some help me please

Answers

Answer:

what's my 19 answering your question sorry I have no idea what the answer is bio

I WILL GIVE BRAINLIEST!! PLEASE HELP

Answers

Answer:

angle mnp

Step-by-step explanation:

i think it is helpful

help me please it for math

Answers

Answer:

c is the answer

Step-by-step explanation:

i don't have one

Write an equation in slope-intercept form for the line that satisfies each set of conditions.
parallel to y=2/3x - 10, x intercept at 9​

Answers

Answer: Y= 2/3x + 9

Explanation: The equation is in slope-intercept form, y=mx+b. Since it is parallel to the equation, it has the same slope (2/3x) and since b is the x intercept, b is 9.

The equation in slope-intercept form for the line that is parallel to y=(2/3)x-10 and x-intercept at 9 is y =

What is a Linear Equation of a line?

A linear equation is an algebraic equation of the form y=m x + b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept

Parallel lines have the same slope.

Given data ,

The x-intercept is obtained when we set the value y = 0

As the x-intercept is 9 , therefore the point representing the x-intercept will be: ( 9 , 0 )

Now , the equation of line is given by y = m x + c

And , y = ( 2 / 3 ) x - 10

Since the lines are parallel , they will have same slope

So , the equation in slope intercept for the line will be

y = ( 2 / 3 ) x + 9

Hence the equation of line will be y = ( 2 / 3 ) x + 9

To learn more about linear equation of line click :

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#SPJ2

The base of a triangle is 2 ft. The
height of the triangle is 15 in. What is the area of the triangle in square inches?

Answers

Answer:

180 in²

Step-by-step explanation:

base b = 2 ft = 2*12 in = 24 in

height h = 15 in

Area = bh/2 = 24 * 15/2 = 180 in²

. On Mary’s MP3 player for everly 3 pop songs Maria had she also had 4 country songs. If she has 15 pop songs on her MP3 player, how many country songs does she have? ________________

Answers

Answer:

20

Step-by-step explanation:

every three pop add 4 country you will get 4 8 12 16 20 making 20 your answer

PLS HELP ME GIVING BRAINLIEST!!!!
For each of the following questions, draw a diagram to explain your answer.

a. How many fourths are in one half?

b. How many sixths are in two thirds?

c. How many fourths are in six eighths?

d. How many halves are in 3 5/10​

Answers

Answer:

Brainly patrol stop deleting my answers

A. 2

B. 4

C. 3

D. 7

Step-by-step exp

Answer:

a. 2

b. 4

c. 3

d. 7

explanation:

a. fourths refers to 1/4 and one half refers to 1/2

1/2 ÷ 1/4 = 2

b. sixths refers to 1/6 and two thirds to 2/3

2/3 ÷ 1/6 = 4

c. fourths refer to 1/4 and six eighths refers to 6/8

6/8 ÷ 1/4 = 3

d. halves refers to 1/2 and 3 5/10​

3 5/10​ ÷ 1/2 = 7

Josephine wants to divide the shed into two compartments. One compartment will have a volume of 100ft^3. What is the volume of the second compartment ?

Answers

I believe using the equation v=lwh the answer would be 420ft^3.

Choose the best graph that represents the following systems of linear inequality.

Answers

Answer:

C

Step-by-step explanation:

using the power of elemination,looking at the first equation,we singled out the top 2, now looking at the 2nd equation, we see the y intercept is 2 meaning it has to be graph c

Examine the lines that are cut by transversals to determine the measure of angle 1.
What is the measure of angle 1?


m <1: _____


Why?

Answers

Answer: 48 degrees

Step-by-step explanation:

Alternate interior angles theorem

Answer:

m <1=

✔ 48°

Why?

✔ It corresponds to the 48-degree angle.

Step-by-step explanation:

Write the polynomial in factored form. Show all the steps that you use to solve this problem.

x^3 - 3x^2 - 10x

Answers

Answer:

x( x - 5)( x + 2)

Step-by-step explanation:

The polynomial is x^3 - 3x^2 -10x. Since each term has at least one x, we can factor out an x.

This gives us x( x^2 - 3x - 10).

Now, we may factor the second degree polynomial.

_ × _ = -10? (or a × c, where ax^2 + bx + c?)

_ + _ = -3? (or b?)

Well, -5 times 2 equals 10, and -5 plus 2 equals -3.

We use these values to factor further.

So, our final answer becomes x( x - 5 )( x + 2 ).

You can check this by simply multiplying and distributing the terms!

I hope this helped! :)

which of the following is consistent with and could explain the changes in lowe's dollars of gross profit and gross profit percentages in fiscal 2019

Answers

The changes in lowe's dollars of gross profit and gross profit percentages as seen in fiscal 2019 is due to;

Sales volume increased in fiscal 2019, and unit costs increased.

What does the gross profit margin means?

The gross profit margin is known to be that which informs a person what their business has made after paying their direct cost of doing business.

This is made up of labor, materials and other kinds of direct production costs. It is known to be a key element in profitability ratios along with operating profit margin and net profit margin.

The Iowe's company was said to have posted that they made about 2.6 percent in terms of sales growth and the fiscal 2019 shows that they had the highest sales and adjusted diluted earnings per share since the start of the company.

See options below

a. Sales volume increased in fiscal 2019, but unit costs decreased.

b. Sales volume decreased in fiscal 2019, and per unit selling prices decreased.

c. Sales volume increased in fiscal 2019, and unit costs increased.

d. Sales volume and unit costs did not change, but per unit selling prices increased.

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3 Consider two vectors Az 31 - 2; and Bz-i-4;. alculated B C) A+B and A-B B G) / Atb 1 and (A-Blu | - B (i fra) Direction of (A+B) and|A-b] B) B + ดู B BJ​

Answers

Step-by-step explanation:

1. A+B=Just add the J hat with J hat and add the I hat with the I hat.

[tex](3i + ( - 1)i + ( - 2) + ( - 4)j = 2i - 6j[/tex]

A-B=

[tex]3 - ( - 1)i + ( - 2) - ( - 4)j = 4i + 4j[/tex]

2. Take the magnitude of A+B

[tex]2 {}^{2} + ( - 6) {}^{2} = {r}^{2} [/tex]

[tex]40 = {r}^{2} [/tex]

[tex]r = \sqrt{40} [/tex]

So the magnitude is root of 40.

So the magnitude of A+B is

The magnitude of A-B

[tex] {4}^{2} + {4}^{2} = 4 \sqrt{2} [/tex]

So the magnitude is

[tex]4 \sqrt{2} [/tex]

c. To find direction, we need to find the angle.

Use this rule,

[tex] \tan(x) = \frac{bj}{bi} [/tex]

For A+B, we get

[tex] \tan(x )= \frac{ - 6}{2} [/tex]

[tex] \tan(x) = - 3[/tex]

Since this is a southeast, the degree is 288.43.

The direction is southeast, 288.43 degrees

For A-B, we get

[tex] \tan(x) = \frac{4}{4} [/tex]

[tex] \tan(x) = 1[/tex]

Since this is northeast, the degree is 45 degrees.

The direction is northeast, 45 degrees.

lab technician cuts a 12 in piece of glass tubing into two pieces. One piece is 5 in longer than the other. How long are the​ pieces?
Question content area bottom
Part 1
What is the length of the shorter​ piece?
enter your response here

Answers

Answer:

Part 1. 7 inches (longer piece)

Part 2: 5 inches (shorter piece)

Step-by-step explanation:

There is 12 inches in total, given that one piece is 5 inches longer, the other part of the 5 inches would be 7 inches which is the longer side.

5 inches would be the shorter side.

1 + 2 x 4x+1
4x^2 + 5x+1 x x^2-4


Answers

Answer: 1 + 2 x 4x+1=10

Step-by-step explanation: 4x^2 + 5x+1 x x^2-4= also= 10

A random sample from the 6th and 7th grade student population was taken to determine which clubs were the most popular.

6th Grade: Yearbook 10; Student Council 24; Jump Rope 6
7th Grade: Yearbook 18; Student Council 20; Jump Rope 2

What percent of 6th graders are involved in the yearbook club?

Answers

Using the percentage concept, it is found that 25% of 6th graders are involved in the yearbook club.

What is a percentage?

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

[tex]P = \frac{a}{b} \times 100\%[/tex]

In this problem, 10 out of 10 + 24 + 6 = 40 6th graders are involved in the yearbook club, hence the corresponding percentage is given by:

[tex]P = \frac{10}{40} \times 100\% = 25\%[/tex]

More can be learned about percentages at https://brainly.com/question/10491646

(9x + 4) (2x2 – 17x - 9) = 0
-

Answers

Step-by-step explanation:

So leave (9x+4) and factor (2x2-17x-9) .

Factors into (2x+1)(x-9).

Now set (9x+4)=0 and find x. x= -4/9

set (2x+1)=0 x = -1/2

set x-9=0 so x=9. you have 3 solutions which are -4/9, -1/2, and 9.

-9j -7m-8j?????? I need help plz

Answers

Answer:

-17j - 7m

Step-by-step explanation:

combine like terms -9j - 8j = -17j, there is no like term for -7m

A container built in the shape of a cylinder has a circular base with the radius of 1.5m. the altitude of the container is 3.5m. how any cudic meters of fluid can this container hold?

Answers

Answer:

the container will hold 3m cudic meters

please help. i’m on a time limit.

Answers

Answer:  161 m^2

Step-by-step explanation:

The surface area composes of 4 triangles and 1 square.

The side length of the square is 7 m, so the area is 49 m^2 because the area of a square is the side length^2.

Each of the triangles has a base of length 7 m and a height of 8 m, so the area of each triangle is 7m*8m/2 = 28 m^2 because the area of a triangle is the base*height/2.

Since there are 4 triangles, the total surface area of the 4 triangles is 28 m^2 * 4 = 112 m^2.

Adding that to the area of the square, we get 49 m^2 + 112 m^2 = 161 m^2

7b+2 b = 2
3(2c-10)
1+2.1y-0.9y+4

Answers

Answer:

If you were to solve for, 7b+ 2b = 2 then;

7b+ 2b = 2

Combine like terms first:

(7b + 2b)

9b = 2

Then divide by 9 from both sides to solve for b:

/9    /9

b = 2/9 or 0.222..

If you were to solve for, 3(2c - 10) then;

3(2c - 10)

Use the distributive property, and multiply 3 to both 2c and 10:

3(2c) - 3(10)

6c - 30

If you were to solve for, 1 + 2.1y - 0.9y + 4 then;

1 + 2.1y - 0.9y + 4

Combine like terms:

(1 + 4) (2.1y - 0.9y)

5 + 1.2

Emmett deposited $90 in an account earning 5% interest compounded annually.
To the nearest cent, how much will he have in 2 years?
Use the formula B=p(1+r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

Answers

The value of the account after two years given the amount deposited and the rate of interest would be  $99.23.

What is compound interest?

Compound interest is when both the amount deposited and the interest already accrued increase in value when interest is paid.

What is the value of the account?

The formula that can be used to determine value of the account is:

B=p(1+r)^t

where:

B =  balancep =  principal r = the interest ratet = time

$90(1.05)^2 = $99.23

To learn more about compound interest, please check: https://brainly.com/question/26367706

question is in the picture. someone please help!!

Answers

Answer:

58

Step-by-step explanation:

add 4 eight more times

8. The Harris family is planning to buy a new 46 inch HDTV that costs $488. Mr. and Mrs. Harris will pay $200 and their three sons will split the
remaining cost equally Explain how to find the amount each of the boys will pay.

Answers

Answer:

$96

Step-by-step explanation:

488 - 200 =288( The amount three sons have to pay together)

So, each son will pay 288/3 = $96

Angle 1 and Angle 2 are complimentary angles. Find x and the measure of Angle 1.

Angle 1 = (3x+2)°
Angle 2 = (4x +4)º

x = ?

The measure of Angle 1 = ?
degrees

Answers

Answer:

x=12 pls give brainliest

Step-by-step explanation:

Answer: x = 12, Angle 1 = 38°

Step-by-step explanation: Complimentary angles add up to 90°.

Add the two angles and set them equal to 90°:

(3x + 2) + (4x + 4) = 90

Add like terms:

7x + 6 = 90

Subtract 6 from both sides:

7x = 84

Divide both sides by 7:

x = 12

Now, to get Angle 1, plug x in:

Angle 1 = 3(12) + 2

Angle 1 = 38°

Hope this helps!

The label on a can of paint states that one gallon of the paint will cover 560 feet. How many gallons of that paint are needed to cover 1400 square feet?

Answers

Answer:

its about 5 gallons

Step-by-step explanation:

because the feets how are for the times its 4 or 5 if its 4 it cant go until 1400 and if its 5 theres left paint


How would you use a number line to
order integers from greatest to least?

A Graph the absolute values, then read
them from left to right.

B Graph the integers, then read them
from left to right.

C Graph the integers, then read them
from right to left.

Answers

The answer is c I would graph the number line and then simply read the numbers from right to left

Which of the binomials below is a factor of this trinomial?

x^2 - 8x - 48

A. x - 12

B. x - 5

C. x^2 + 12

D. x + 5

Answers

Answer:

x - 12

Step-by-step explanation:

that's the only thing I know

Please help and explain why it is the answer please!

Answers

9514 1404 393

Answer:

  d)  m∠a = m∠f

Step-by-step explanation:

Where a transversal crosses parallel lines, certain relationships between the angles are established. Effectively, the two same-side interior angles are supplementary, as they would be in a parallelogram. Here, those are angles B and F, or angles A and E.

The vertical- and linear-angle relationships give rise to all of the other ways this is expressed. For example, angles A and B are a linear pair, so supplementary. Since B and F are supplementary, and B and A are supplementary, F = A. Using more formal language, ...

  m∠a = m∠f

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