What rule is used to simplify exponents when multiplying polynomials?

Answers

Answer 1

Answer:

product rule

To multiply exponential terms with the same base, simply add the exponents. Simplify. The base of both exponents is a, so the product rule applies. Add the exponents with a common base


Related Questions

Does anyone know????????

Answers

Answer:

1) -3/2

Step-by-step explanation:

The common ratio is the amount you multiply by to get to the next number in the sequence. To calculate this you will need to divide the term by its preceding term.

For example (3/4) / (-1/2)

When dividing by fractions you should apply KCF (Keep Change Flip), so you will end up with (3/4) x (-2/1) = -3/2

Check this by doing the next term (-9/8) / (3/4)

When dividing by fractions you should apply KCF (Keep Change Flip), so you will end up with (-9/8) x (4/3) = -3/2

Please help with this math question'

Answers

Answer:

The rocket's maximum height will be 1424 feet.

It will reach that height in 4 seconds.

It will reach the ground  in 8 seconds.

Step-by-step explanation:

One easy way to find the peak is to find the derivative and solve for zero:

h(t) = -16t² + 128t + 1680

To find the derivative of each term in that format, you simply multiply the coefficient by the exponent, and reduce the exponent by one.  In the case of terms with no variable, they disappear.  That gives us:

h'(t) = -32t + 128

This derivative describes the rate of change of h with respect to t, so to find the peak, we simply need to solve it for zero:

0 = -32t + 128

32t = 128

t = 4

So the maximum height occurs when t = 4.  Let's plug it in to the original equation:

h(t) = -16t² + 128t + 1680

h(4) = -256 + 512 + 1680

h(4) = 1424

So the rocket's maxiumum height is 1424 feet.

And we've already answered the second question, it happens at 4 seconds.

Also, the amount of time going up will be the same as the amount of time going down, which means that it will reach the ground in twice that time, or 8 seconds.

A bag contains orange, white, and purple marbles. If you randomly choose a marble from the bag,
there is a 26% chance of drawing an orange marble and a 27% chance of drawing a white
marble. What is the probability of choosing a purple marble? Express your answer as a percent.

Answers

Answer:

47%

Step-by-step explanation:

26+27=53

100-53=47

47/100=.47

I will give out 40 points for the four answers but if you just take the points and don't answer properly I will report you

Answers

Answer:

A:-3<x<13

B:-3=<x=<13

C:-3=<x<13

D:-3<x=<13

Step-by-step explanation:

Ok, first lets do A

-3 and -13 and the endpoints and the dots are hollow so its not including

therefore the answer is -3<x<13

next, B

same endpoint this time but both dots are filled in so they are included

therefore: -3=<x=<13

(I'm typing on a keyboard!!! i can't do the fancy symbols lol)

C

same endpoints again but -3 is black and 13 is not

so: -3=<x<13

D

I think you have got the hang of it now probaly

-3 is not filled and 13 is

answer is -3<x=<13

Hope this helps :)

A fair spinner has 10 equal sections: 4 red, 3 blue and 3 green.

It is spun twice.

What is the probability of getting the same colour twice?

Answers

Answer:

4 divided by 10 is 40% 3 divided by 10 is 30 percent

Step-by-step explanation:

for red there would be 40 percent probability and green and blue both have 30% probability.

Find the area of the parallelogram. Round to the nearest hundredth if necessary.
6 m
8 m
cm2
Area =

Answers

/// 48 cm is the area

The area of the parallelogram willl be equal to 48 square meters.

What is an area?

The space occupied by any two-dimensional figure in a plane is called the area. The parallelogram occupied by the parallelogram in a two-dimensional plane is called as the area of the parallelogram .

Given that:-

Height = 6 mBase = 8 m

The area will be calculated as:-

Area = Height  x Base

Area = 6  x  8

Area = 48 square meters.

Therefore the area of the parallelogram willl be equal to 48 square meters.

To know more about an area follow

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can someone send me a random receipt you have you gotten recently. it can be anything at all pls​

Answers

is this for fetch rewards


The table shows the amount in fluid ounces of
each ingredient Randolph used to make fruit
punch for a party.
How many pints of this fruit punch did Randolph
make?
Fruit Punch
1,792 pints
Ingredient
Amount Used
(fluid ounces)
B 102 pints
Orange juice
24
7 pints
Apple juice
24
Lime soda
64
D 14 pints

Answers

Answer:

Step-by-step explanation:

Find the average rate of change of f(x)=x^2-4x+1 from x=3 to x=7 .

Answers

Answer:

7

Step-by-step explanation:

Can someone help me plz? I’ll reward points + brainalist

Answers

Answer:for the first one I’m unsure but think it’s b and for the second one its 38 inches

Step-by-step explanation:

The radius is just half the circumference

Write a proof for the statement If a quadrilateral is a square, then the quadrilateral is a rectangle

Answers

Answer:

this is because a quadrilateral is a four sided polygon.

and this means square and rectangle are quadrilaterals.

You are at a coffee shop and notice that as the temperature of the room gets colder, more people order hot beverages. From this observation, you conclude that there is a _______ between the temperature and hot beverage sales at this coffee shop. Group of answer choices negative relationship curvilinear relationship no relationship positive relationship

Answers

Answer:

negative relationship.

Step-by-step explanation:

An experiment can be defined as an investigation which typically involves the process of manipulating an independent variable (the cause) in order to be able to determine or measure the dependent variable (the effect).

This ultimately implies that, an experiment can be used by scientists to show or demonstrate how a condition causes or gives rise to another i.e cause and effect, influence, behavior, etc in a sample.

Cause and effect can be defined as the relationship between two things or events in which an occurrence one (cause) leads to the occurrence of another (effect).

A negative relationship or correlation can be defined as the relationship between two variables in which there exist an inverse relationship between them i.e as one variable increases, the other decreases and vice-versa.

In this scenario, you are at a coffee shop and notice that as the temperature of the room gets colder, more people order hot beverages. From this observation, you conclude that there is a negative relationship between the temperature and hot beverage sales at this coffee shop because for the temperature to get colder it would decrease and for the hot beverages to be hot, its temperature must be increased.

Use the Distributive Property to
REWRITE -3(c-8)

Answers

-3c + 24 I’m pretty sure

Answer:-3c +24

Step-by-step explanation:

-3(c) and -3 (-8)

-3c and two negatives equal a positive, so +24

Jordan was planting a garden. She wanted the bottom of the garden to have an area of 48 feet. She wanted the width to be 3/4 the length. What are the dimensions of the garden

Answers

Answer:
Width 6
Length 8

I need help. correct answer gets brainliest

Answers

Answer:

can you zoom in on it

Step-by-step explanation:

To draw a line that is parallel to 9x+12y=16, what should the slope of the line be?(1 point)

A. 4/3
B. -3/4
C. -4/3
D. 3/4

Answers

Answer:

Hi how are you doing today Jasmine

Enya is building a storage cupboard in the shape of a rectangular prism. The rectangular prism has a square base with side lengths of 2.6 feet and a height of 3.4 feet. Use percentage to compare the amount of paint she would use to paint all but the bottom surface of the prism to the amount she would use to paint the entire prism. Round your final answer to the nearest tenth.
(I will mark the person who gets the answer correct as brainliest)

Answers

Answer:

89.7 is the percent

Step-by-step explanation:

38.41/43.7=0.879 (87.9%).

what is the value of x?

Answers

Answer:

x = 111°

Step-by-step explanation:

The interior sum of a triangle is 180°

x + 37 + 32 = 180

x + 69 = 180

x = 111

good luck, i hope this helps :)

X=111 because a triangle has 180 degrees and 180-32-37=111

what's nine times 4?​

Answers

Answer:

9 x 4 = 36

9 multiply by 4 is 36.

Answer:

36

Step-by-step explanation:

If you do 9 * 9 * 9 * 9 you would get 36.

Hence, study your nines. (lol)

Hope this helps! ;)

In ΔMNO, the measure of ∠O=90°, the measure of ∠M=46°, and NO = 96 feet. Find the length of OM to the nearest tenth of a foot.

Answers

Answer:

92.7 ft

Step-by-step explanation:

Solve the exponential equation.

(½)x = 32

-5
1/5
-1/5

Answers

Answer:

-5

Step-by-step explanation:

(1/2)^x=2^-x

32=2^5

2^-x=2^5

-x=5

x=-5

Answer:Answer:

-5

Step-by-step explanation:

(1/2)^x=2^-x

32=2^5

2^-x=2^5

-x=5

x=-5

Step-by-step explanation:


Charlie is watching hot air balloons. Balloon A has risen at a 60° angle. Balloon B has risen at an 82 angle. If the distance from balloon A to the ground is 1400 feet, how far is balloon B from balloon A? Round your answer to the nearest whole number.

999 feet
1005 feet
1052 feet
1102 feet

Answers

Step-by-step explanation:

b is the anwser or 1005 so there u go

the distance between balloon A and balloon B IS 1005 Feet

What is height and distance ?

Height is the measurement of an object in the vertical direction and distance is the measurement of an object from a particular point in the horizontal direction.

According to the question,

Angle ADC = 60  degree

Angle BDE = 82 degree

Ac = 1400 Feet

In right angle triangle ACD,

Tan(x)= AC/CD

Tan(60) = 1400/CD

CD = 1400/[tex]\sqrt{3}[/tex]

CD = 808.3

In triangle BDE,

Tan(y) = BE/DE

Tan(82) =  1400/DE   { Tan(82) = 7.115 }

DE = 1400/7.115

DE = 196.8

the distance between balloon A and balloon B =CD + DE

                                                                               = 808.3 + 196.8

                                                                               =   1005 Feet

Hence, the distance between balloon A and balloon b is 1005 feet

To learn more about height and distance from here,

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Given below are descriptions of two lines.

Line 1: Goes through
(

5
,

9
)
and
(
12
,
42
)


Line 2: Goes through
(

9
,
6
)
and
(

3
,
4
)


The slope of Line 1 is
m
=



The slope of Line 2 is
m
=



Finally, which of the following is true?
Line 1 is parallel to Line 2.
Line 1 is perpendicular to Line 2
Line 1 is neither parallel nor perpendicular to Line 2

Answers

Answer:

Yes

Step-by-step explanation:

Can somebody please give me the answer I will mark u brilliant

Answers

Answer:

x = 6.7

Step-by-step explanation:

We know that 3.5 + x = 10.2, so if we do inverse operations we can find out the value of x.

10.2 - 3.5 = 6.7

we can check our work by substituing it back in the equation for x

6.7 + 3.5 = 10.2

so now we know that x = 6.7. I hope this helps :)

Answer: x=6.7

Step-by-step explanation:

x+3.5=10.2

-3.5    -3.5

x= 6.7

Pleaseeeeeeeeee help

Answers

Answer:

80 in2

Step-by-step explanation:

10x8=80

A= 80 in2

Answer:

For base area? Its 80 in².

A 4-foot-long sandwich is cut into servings that are each ; foot long. How many servings will there be after the sandwich is cut?​

Answers

Answer:

$ because there are 4ft cut into one foot each equals 4

Step-by-step explanation:

what is the feet and in47 in = ? ft ? in

Answers

Answer:

3.167

Step-by-step explanation:

Hope this helps

1. Is a Square a rectangle?(Always, Never, Sometimes. Are all the answers you can say for these)
2. is a trapezoid a parallelogram?
3. does Quadrilaterals
have for congruent sides?
4. is a parallelogram a rectangle?

Answers

Answer:

1. sometimes

2. always

3. always

4. always

Step-by-step explanation:

(2+5x)9= combine like terms

Answers

Answer:

18+45x

Step-by-step explanation:

do anybody know how to help me cause i really need it right now.

Answers

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

The surface area is made up of four triangles and a square base, so the area is four times the area of the triangle plus the area of the base.

A=4(5)(6)/2+5(5)

A=60+25

A=85

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