evaluate 5^28·5^-32·5^-4
A. 17,920
B. 0.017920
C. 0.000256
D. 0.00000256

Answers

Answer 1

Answer:

D 0.00000256

Step-by-step explanation:

[tex]5^{28} *5^{-32}*5^{-4}=5^{28-32-4}=5^{-8}=\frac{1}{5^{8}} =0.00000256[/tex]

Answer 2

Answer:

B. 0.000256

Step-by-step explanation:

5^28 . 5^- 32 . 5^ -4

= 5^( 28 - 32 - 4 )

= 5^( 28 - 36 )

= 5^- 8

= 1 / 5^8

= 1 / 390625

= 0.000256


Related Questions

A cylinder and a cone are shown below.

-

12 in.

-

12 in.

Volume of cylinder = 2512 in.

Volume of cone = 1256 in.

Which explains whether the bases of the cylinder and the cone have the same area?

O The bases have the same area because the heights are the same.

O The bases have the same area because the volume of the cone is 5 the volume of the cylinder.

O The bases do not have the same area because the volumes are not the same.

O The bases do not have the same area because the volume of the cylinder is not 3 times the volume of the cone, given

the same heights.

Answers

Answer:

The bases do not have the same area because the volume of the cylinder is not 3 times the volume of the cone, given the same heights.

Step-by-step explanation:

Recall :

V1 = volume of cylinder = πr²h

V2 = volume of a cone = 1/3πr²h

From the diagram, both have height, h of 12

Radius = r

V1 = 2512 in

V2 = 1256 in

From the ratio :

2512 = πr² * 12

1256 = 1/3πr² * 12

12 cancel out as well as r² and π

If the bases have the same area `, then 2512 should be equal to (1256 * 3)

2512 in ≠ 3868 in

Answer:

The answer is D

Step-by-step explanation:

I got it right on my unit test

God bless

You rent an apartment that costs $1300 per month during the first year, but the rent is set to go up $120 per year. What would be the monthly rent during the 8th year of living in the apartment?

Answers

Answer:

2140

Step-by-step explanation:

Year one.                         1300

year 2.         120.               1420

year 3.         120.              1540

year 4.         120.              1660

year 5.         120.              1780

year 6.         120.              1900

year 7.         120.              2020

year 8.         120.              2140

or

7 x 120=840

1300 + 840 = 2140

Four aliens were born in two year intervals. The sum of
their ages is 36. How old is each alien?
Show work

Answers

Answer:

6, 8, 10, and 12

Step-by-step explanation:

x + (x + 2) = (x + 4) + (x + 6) = 36

4x + 12 = 36

subtract 12 rom each side of the equation:

4x = 24

divide both sides by 4:

x = 6

x + 2 = 8

x + 4 + 10

x + 6 = 12

HELP ASAAAPPPPPPP PLEASEEEEE

Answers

Answer:

I say it is A.

Step-by-step explanation:

It is the one that makes the most sense.

Hope this helps.

please help ASAP! i need this done!

Answers

Answer:

∠2   (∴ ∠3 is also correct)∠1∠1    (∴ ∠4 is also correct)

Step-by-step explanation:

1) Both the angles ∠2 & ∠3 form a linear pair with ∠1. Also, angles of a linear pair are supplementary to each other. So, both ∠2 & ∠3 are supplementary to ∠1. (Write any one)

2) ∠1 is located vertically opposite to ∠4. So, ∠1 & ∠4 are vertical angles.

3) Both the angles ∠1 & ∠4 share a common vertex & common side with ∠3. So, both ∠1 & ∠4 are adjacent to ∠3. (Write any one)

PLZ HELP URGENT PLEASE
If f(x)=2x+5 and g(x)= 2x-3, find (f+g)(x). Please don't add any space between characters in your answer. For example: -6x+5

Answers

Answer should be 4x+2

plz solve this fast
what is degree of polynomials ​

Answers

Step-by-step explanation:

2 is the degree of polynomial.

hope it is helpful to you

Sean bought a laptop and a printer. He sold both items for £1,500 getting £1,350 just for the laptop. Sean made a 24% profit on the cost of the printer. What was the cost of the printer? Give your answer to 2 decimal places.

Answers

Answer:

36

Step-by-step explanation:

Sean purchased a printer and laptop

He sold both for 1,500

He sold the laptop at 1,350

Therefore the cost of the printer can be calculated as follows

1500-1350

= 150

24/100×150

= 0.24×150

= 36

Henve the cost of the printer is £36

Can someone please give me an answer and and explanation to these questions. I am supposed to find out how long and how wide each rectangle is. PLEASE HELP ME. I'VE BEEN ASKING ALL DAY

Answers

Answer:

Step-by-step explanation:

If x and y vary inversely and x = 5 when y = -3.5, what is the value of x when y = 10?

Answers

Answer:

Step-by-step explanation:

k = xy

Putting values of x and y in the equation

k = (5)(-3.5)

= - 17.5

Finding value of x when y = 10

k = xy

- 17.5 = x10

Bringing like terms on one side

- 17.5 - 10 = x

-27.5 = x

Alguien sabe este trabajo es para hoy :’(

Answers

I would be able to help but I need it to be in English

no psss ya valio madres

HELP PLEASE 10 POINTS

Answers

Answer:

I say the answer is B.

Step-by-step explanation:

I basically multiplied all the vertices by 2.

Hope this helped!!!

What would be for 7?

Answers

Answer:

Congruent segments subtracted from congruent segments form congruent segments

If using the method of completing the square to solve the quadratic equation
x² + 2x + 16 = 0, which number would have to be added to "complete the
square"?

Answers

Answer:

x=-1+\sqrt{15}i,\:x=-1-\sqrt{15}i

Step-by-step explanation:

For the given quadratic equation,x² + 2x + 16 = 0 the value of x will be x=-1+√15i, and x-=-1-√15i you must add 1 in order to complete the square.

What is a quadratic equation?

Any equation with the formula [tex]\rm ax2 + bx + c = 0[/tex] where x is a variable and a, b, and c are any real values; a quadratic equation is one where a ≠ 0.

It is given that the equation is, x² + 2x + 16 = 0,

The value of x obtained after solving the given equation is x=-1+√15i and x-=-1-√15i.

In order to complete the square you have to take out the following operations,

x² + 2x + 16 = 0

Add and subtract by 1 as

x²+2x+16+1-1

x²+2x+1 +15

(x+1)²+(√15)²

Thus, you must add 1 in order to complete the square.

Learn more about quadratic equations here:

brainly.com/question/17177510

#SPJ2

Hello, I need help! The question is "Today you will look over the following problem that Nancy worked and explain what she did incorrectly and why it does not work. Then tell me what information Nancy would need to know in order to use this theorem correctly"

Answers

Answer:

Step-by-step explanation:

Remark

The ratios are certainly correct but that doesn't mean that they show similarity. SSA is a very dangerous proposition to use. Redraw triangle DEF of that DF is going to upwards to your right hand side. Make E as it was before. Why isn't this right?

It isn't right because E has gone from being an acute angle to an obtuse angle (an angle larger than 90 but less than 180).

The ratios are still true, but the angles do not match. So the whole answer is incorrect.

A lawn sprinkler is set in the corner of the backyard. Thomas has the sprinkler set to rotate at 90 degrees. He knows that the sprinkler will spray 30 feet. If his backyard is 850 square feet, does Thomas have the sprinkler set to reach most of his yard? Explain your reasoning and any suggestions you might have for Thomas if you find he does not have the sprinkler set properly.

Answers

Answer:

yes I think he does because of the distance of the sprinklers reach.

12 m Fence 17 m 20 m one can of weedkiller can cover 100 square metres. eachh can costs $19.75 work out the total cost of the cans of weedkiller needed to cover the lawn.

Answers

Answer:

Total amount needed is: $59.25

Step-by-step explanation:

Given

See attachment for fence

Required

Cost of weedkiller needed

First, we need to calculate the height of the fence.

Considering the triangular end of the fence, we have:

[tex]17 ^ 2 = h ^ 2 + 8 ^ 2[/tex] --- Pythagoras theorem

[tex]289 = h^2 + 64[/tex]

Collect like terms

[tex]h ^ 2 = 289 - 64[/tex]

[tex]h ^ 2 = 225[/tex]

Take positive square root of both sides

[tex]h = \sqrt{225[/tex]

[tex]h = 15[/tex]

Next, calculate the area of the fence (trapezium).

This is calculated as:

[tex]Area = \frac{1}{2}(a + b) * h[/tex]

Where:

[tex]a = 12[/tex]

[tex]b = 20 + 8 = 28[/tex]

So, we have:

[tex]Area = \frac{1}{2}(12 + 28) * 15[/tex]

[tex]Area = \frac{1}{2}(40) * 15[/tex]

[tex]Area = 20 * 15[/tex]

[tex]Area = 300m^2[/tex]

From the question, we have:

[tex]\$19.75 = 100m^2[/tex]

Let x = the cost required for the complete area

i.e.

[tex]x = 300m^2[/tex]

So, we have:

[tex]\$19.75 = 100m^2[/tex]

[tex]x = 300m^2[/tex]

Cross multiply

[tex]x * 100m^2 = \$19.75 * 300m^2[/tex]

Divide both sides by [tex]100m^2[/tex]

[tex]\frac{x * 100m^2}{100m^2} = \frac{\$19.75 * 300m^2}{100m^2}[/tex]

[tex]x = \frac{\$19.75 * 300m^2}{100m^2}[/tex]

[tex]x = \$19.75 * 3[/tex]

[tex]x = \$59.25[/tex]

If a dilation with a scale factor of 5 is performed to ADEF, what will be the
coordinates of the new triangle?
D(-5,-2)
E(-5,3)
F(2,3)
o D'(-25,-10) E'(-25,15) F(10,15)
o D'(-20,-10) E'(-20,15) F'(5,15)
o D'(-1,5) E'(-1,3) F'(5,3)

Answers

Answer: · D'(-25,-10) E'(-25,15) F'(10,15)

Answer:

o D'(-25,-10) E'(-25,15) F'(10,15)

Step-by-step explanation:

In dilations, the scale factor is how many times larger than the new image will be.

Great, that explains a lot.

In other words, multiply the x and y-coordinate by the scale factor.

In this case, the scale factor is 5.

D(-5,-2)

-5 ⋅ 5 = -25

-2 ⋅ 5 = -10

E(-5,3)

-5 ⋅ 5 = -25

3 ⋅ 5 = 15

F(2,3)

2 ⋅ 5 = 10

3 ⋅ 5 = 15

Therefore, the new coordinates are:

D' (-25,-10)

E' (-25,15)

F' (10,15)

Find the Volume of a cylinder with a diameter of 16 inches and a height of 9 inches

Answers

Answer:

d = 16 in    then   r = 8 in

V = h * π * r²

V= 9in * π * (8 in)²

V = 1809.55 in³

Answer:

It's D

Step-by-step explanation:

24 hours in a day
60 seconds in a min
60 mins in a hour
7 days in a week

Question: How many seconds in 3 days?

Answers

Answer:

259200 seconds

How: 60×60×24 = 86400

That is for one full day, so multiply that by 3

Answer: 259200

Write an expression for the perimeter of each regtangle in terms of its width?​

Answers

Answer:

a (the length is twice the width)

Step-by-step explanation:

a(the length is twice the width)

Solve the equation!bhurrypls

Answers

multiply sides by 4

k = 24

Answer:

k = 24

Step-by-step explanation:

k/4 = 6

k is being divided by 4, so multiply both sides by 4.

k/4 * 4 = 6 * 4

k = 24

Can the sides of a triangle have sides of 5, 8, and 16 ???

Answers

Answer:

No.

Step-by-step explanation:

The triangle inequality theorem states that the sum of two sides of a triangle must be greater than the third side.

5 + 8 = 13.

13, which is the sum of two sides, is not larger than 16, the third side.

Therefore, a triangle cannot have these side lengths.

A giant scoop, operated by a crane, is in the shape of a hemisphere of radius 24 inches. The scoop is filled with molten steel. The steel is then poured into a cylindrical storage tank with diameter 32 inches. How high will the molten steel rise?

Answers

Answer:

40 inches

Step-by-step explanation:

Volume, V of hemisphere = 2/3 π r^3

Radius, r = 24 inches ;

V = 2/3 π 24^3

V = 28952.917 in³

Volume of cylinder = π r^2 * h

h = height ; r = Radius = 32 /2 = 16 inches

Volume of hemisphere = volume of cylindrical tank

28952.917 = π (16)^2 * h

28952.917 = 804.24771h

h = 28952.917 / 804.24771

h = 35.9999

h = 40 inches

Molten stell rise is 40 inches

10 points. . .. this is for my brother they have changed stuff so much from when i was in 6th

Answers

Answer: 1.885 miles

Step-by-step explanation:

Given: One lap around a park = 0.58 mile

The number of laps walked by Jessica= 3.25

Then, in miles , the distance walked around the park by Jessica will be (Multiply the number of laps to the value of one lap in miles) :

Hence,  Jessica walked 1.885 miles around the park.

Answer:

im a dad, and i have the best woman in the world, best wife and mother to are boy

Step-by-step explanation:

Pelaseee help me I’m stuck on thisss

Answers

Answer:

[tex]d = \sqrt{122} \: in[/tex]

Step-by-step explanation:

D^2 = x^2 + y^2 + z^2

= (9 in)^2 + (5 in)^2 + (4 in)^2

= 122 in^2

or

[tex]d = \sqrt{122} [/tex]

Susan collected 89 stickers for 28 weeks. How many stickers did she collect in total round off your answer to the nearest hundred answer for free

Answers

Answer:

2500 ( nearest hundred)

Step-by-step explanation:

Given that :

Number of stickers collected per week = 89

Number of weeks for which stickers were being collected = 28

To obtain the total number of stickers collected, we take the product of the number of weeks for which the stickers were beug vcilled and the number of stickers collected per week

The number of stickers collected :

89 * 28 = 2492

2492 = 2500 ( nearest hundred)

Please help. I literally don't even know what this is!!

Answers

Answer:

try dividing or multiplying the information their giving you?


PLEASE HELP!!! I’LL GIVE YOU POINTS!!!

Answers

Answer:

it would be d

Step-by-step explanation:

16 times 8 3/4

Find C(.07)
C(.07)=30x+5

Answers

there are to answers 1. c=3000/7x+500/7.
2. 0.07c
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