Factor Completely:

16x8−81y8

Answers

Answer 1

Answer:

Step-by-step explanation:

16x⁸ - 81y⁸ is the difference of squares.

16x⁸ - 81y⁸ = (4x⁴)² - (9y⁴)² = (4x⁴ + 9y⁴)(4x⁴ - 9y⁴)

Note that 4x⁴ - 9y⁴ is also the difference of squares.

4x⁴ - 9y⁴ = (2x²) - (3y²)² = (2x² + 3y²)(2x² - 3y²)

16x⁸ - 81y⁸ = (4x⁴ + 9y⁴)(2x² + 3y²)(2x² - 3y²)


Related Questions

Plz help me!!
I am timed!

Answers

Answer:

4 is the length

5 is the width

3 is the height

60 cubes

60m is the volume

How are zero identified in a rational expression??? Please help

Answers

0x0

Step-by-step explanation:

Answer:

look at the y and x intercept

Step-by-step explanation:

A light bulb consumes 17100 watt-hours in 4 days and 18 hours. How many watt-hours does it consume per day?

Answers

Answer:

3600

Step-by-step explanation:

17100 in a total of 114 hrs (24*4+18)

Find it hourly

17100/114=150

Then, multiply by 24 to get the amount it consumers in the day.

150*24=3600

Answer:

first multiply 4 with 18

then divide the answer with 17100

So,

4x18=72

17100 /by 72=237.5

It uses 237.5 watts per day

Checking= 237.5x72=17100

So it is true.

Step-by-step explanation:

PLEASE HELP!!!! ILL GIVE BRAINLIEST!


Explain why the two figures below are not similar. Use complete sentences and provide evidence to support your explanation.

Answers

Answer: because the figure on the left is negative and more wide open while the other one is not only smaller but also positive and it’s more shut

Step-by-step explanation:

So the X-axis of the Figure on the left is going form point -3 to 0 while the other figure on the right is going form 3 to 5. And the Y- axis of the figure on the left is 2 while the right is 1 which proves that the figure on the left is bigger then the other

Your Also supposed to add all the point like first look for the Y and the X of I with J Then look for H and K then look for G and L the look for the slope of all those and then add them,then do the same with the left one and see which ones more and how much more

Show me how to do 2/3 x 8=

Answers

Answer:

5.33333333333

Step-by-step explanation:

2/3= 0.66666666666

0.66666666666 x 8= 5.33333333333

:)

A population has a standard deviation of 11. What is the approximate standard error of the mean for a sample size of 150?

Answers

Answer:

the approximate standard error is 0.90

Step-by-step explanation:

The computation of the approximate standard error is shown below:

As we know that

Standard error is

= Standard deviation ÷ √mean

= 11 ÷ √150

= 11 ÷ 12.247

= 0.90

Hence, the approximate standard error is 0.90

Researchers published a study in which they considered the incidence among the elderly of various mental health conditions such as dementia, bi-polar disorder, obsessive compulsive disorder, delirium, and Alzheimer's disease. In the U.S., 45% of adults over 65 suffer from one or more of the conditions considered in the study. Calculate the probability that fewer than 320 out of the n

Answers

Answer:

The step-by-step procedure to solve this question is given, using the normal approximation to the binomial distribution.

Step-by-step explanation:

We use the normal approximation to the binomial distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].

In the U.S., 45% of adults over 65 suffer from one or more of the conditions considered in the study.

This means that [tex]p = 0.45[/tex]

Mean and standard deviation for the approximation, for a sample of n:

[tex]\mu = E(X) = np = 0.45n[/tex]

[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{0.45*0.55n}[/tex]

Calculate the probability that fewer than 320 out of the n

Using continuity correction, this is [tex]P(X < 320 - 0.5) = P(X < 319.5)[/tex], which is the pvalue of Z when X = 319.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{319.5 - 0.45n}{\sqrt{0.45*0.55n}}[/tex]

Just have to replace the value of n, find Z, and then find its pvalue.

2028.863 rounded to the nearest hundredth

Answers

Answer:

2028.863 to the nearest hundredth

The Number In The Hundredth Place Is 6 And The The Number Following Is 3 And Because Its Less Than 5, The 6 Will Remain.

So Its 2028.86

Answer:

2,028.86

Step-by-step explanation:

this is the correct answer to your question

Answer the question in the picture please and if you don't know please just don't answer it <3

Answers

9514 1404 393

Answer:

340 quarters1020 dimes1031 nickels2062 pennies

Step-by-step explanation:

x is the number of quarters

__

a) d = 3x . . . . . . the number of dimes is 3 times the number of quarters

b) n = d + 11 = 3x +11 . . . . there are 11 more nickels than dimes

c) p = 2n = 2(3x +11) = 6x +22 . . . . there are twice as many pennies as nickels

d) The total number of coins is ...

  x + d + n + p = 4453

  x + (3x) +(3x +11) +(6x +22) = 4453

  13x +33 = 4453

  13x = 4420

  x = 4420/13 = 340 . . . . number of quarters collected

  3x = 1020 . . . . . . . . . . . .number of dimes collected

  1020 +11 = 1031 . . . . . . . number of nickels collected

  2·1031 = 2062 . . . . . . . . number of pennies collected

There were 340 quarters, 1020 dimes, 1031 nickels, and 2062 pennies collected.

_____

Check

340 +1020 +1031 +2062 = 4453 . . . as required

5/6 + (-4/9) - (-2), is this right??

Answers

Answer:

YES SIR OR I MEANT YES MAM

what is 2/3 + 1/4 as a fraction

Answers

Answer:

[tex] \frac{11}{12} [/tex]

Can I be brainliest pls

2/3 =8/12 so 1/4= 3/12
Both of them added together will be 11/12
Explanation:
Because they both have different denominators they need to be changed so they are the same. So we find a factor of both 3 and 4 which an example can be 12. We times them __(something) many times to get to 12.

SOMEONE HELP ME PLEASE I BEG YOU

Answers

Answer:

x=40 mark brainlist please

Step-by-step explanation:

Help meeeeeeeee please!!!!

Answers

Answer:

C

Step-by-step explanation:

Is 307,404 divisible by 3?​

Answers

ANSWER:
No, neither is devisible by 3


The design for a small counter top
is shown. What is the perimeter and
area of the counter top?

Answers

Answer:

P = 22 ft

A = 18 ft²

See picture

Step-by-step explanation:

The perimeter is all the sides added together. You have to find the missing values. The missing vertical value is 2.5 (4-1.5). The missing horizontal value is 4 (7-3).

Add all the sides together for the perimeter.

Split the shape into 2 rectangles to find the area. Find the area of each rectangles, then add them together to find the total area.

what is V50+V32 please help.

Answers

Answer:

82V

Step-by-step explanation:

regroup terms 50V+V×32

regroup terms 50V+32V

simpfly  82V

85V.
Really there’s nothing else to do in this problem unless V stands for something than I think it stands for. All you need to do is add 50+32

Which of the following functions is graphed below ?

Answers

Answer:

A.  y = |x + 4| - 2.

Step-by-step explanation:

The graph of y = |x| is V shaped and passes through the origin and the slope  is 1 (like the given graph).

y = |x + 4) moves the V shaped graph 4 units to the left so the tip of the V is at x = -4.

Now subtracting 2 from this graph will bring the graph to the point where x = -4 and y = -2.

So the given function is y = |x + 4| - 2.

Express each rate below as a unit rate.
975 calories in 13 brownies

Answers

Answer:

Step-by-step explanation:

975/13=75

75 calories per brownie

Guys I need help, if a couch costs 200 dollars and is marked up 300 percent, what is the cost?

Answers

Answer:

200 X 300% =$600.00

Step-by-step explanation:

A floor is 7 m long and 5 m wide. A square carpet of side 4 m is laid on the floor. Find
the area of the floor that is not carpeted?

Answers

Answer:

the area of the floor that is not carpeted 19 m squared

Step-by-step explanation:

7x5 =35  m squared = area of the floor

 4x4 = 16 squared =(area of the carpeted floor)

35-16 = 19

Amella bought roast beef for $6.85 per pound. Find the total cost Amelia bought 4
pounds of roast beef.

Answers

She bought $27.40 worth of roast beef.

$6.85/pound
Each pound is $6.85 so we need to find how much she will pay if she buys 4 pounds correct.
So $6.85x4 =$27.4 or $6.85+$6.85+$6.85+$6.85=$27.4
Total cost for 4 pounds
$27.4

giving brainliest ! *easy*

Answers

Answer:

19π/15

Step-by-step explanation:

Answer:

θ + 19π / 15 this is my answer

Please help me

I give u brainliest answer if correct and all those

Answers

Answer:

3) 23.32

4) 11.12

5) 2.06

6) 20.69

..................

Answer:

Step-by-step explanation:

3. 12+3.04+8.28= 23.32

4. 6.97+4.15= 11.12

5. 9.04-6.97= 2.07

6. 4.02+0.19+16.48= 20.69

Sorry if I'm wrong hope it helps!



5. Point C (3, -4) is reflected on the line y = -x, then reflected again on the X axis.

the reflection composition of point C is ....

a. C "(4, 3)

b. C '(4, -3)

C.

C "(- 4, 3)

d. C "(- 4, -3)​

Answers

Answer:

[tex]C" = (4,3)[/tex]

Step-by-step explanation:

Given

[tex]C = (3,-4)[/tex]

Transformation 1: y = -x reflection

Transformation 2: x axis reflection

Required

The new coordinates of C

[tex]C = (3,-4)[/tex]

Transformation 1: y = -x reflection

This gives: (-y,-x)

So:

[tex]C = (3,-4)[/tex]

[tex]C' = (4,-3)[/tex]

[tex]C' = (4,-3)[/tex]

Transformation 2: x axis reflection

This gives: (x,-y)

So:

[tex]C' = (4,-3)[/tex]

[tex]C" = (4,3)[/tex]

Find the height. Write the answer in terms of pi.​

Answers

Answer: 10 / pi

Explanation:

V = pi * r^2 * h (basically just stacking an circle of area pi * r^2 on top of each other h times, this addition of area is the volume)

1210 = pi * (22 / 2)^2 * h (since 22 is diameter, 22 / 2 = radius)

Solved the equation for h:

1210 / 121 = pi * h

10 / pi = h, thus we find our answer

c. Add two cube numbers and
one square
number.​

Answers

Answer:

Step-by-step explanation:

Add two cube numbers and

one square

number.​

PLZ HELP I GIVE BRAINLIEST!!! (Plz show work)

Answers

Answer:

800 × ( 3.87 ÷ 100 ) × 1

= 30.96

A shopkeeper marks the price of an article
30% above its cost price and gives a customer discount of
15%. A customer bought that article including 13% VAT at
Rs. 1872.975. Find the marked price of the article and the
gain of shopkeeper

Answers

Answer:

The gain percent made by shopkeeper is 10.5%.

Step-by-step explanation:

Given:

Price at which goods are marked = 30%

Discount on the marked price = 15%

To Find:

Gain percentage of the shopkeeper

Solution:

Let the cost price of the product be = 100

Therefore,

MP = 30 + 100 = 130

Since discount is 15%. thus -

Discount = 15/100 x 130

= 19.5

Selling price = MP - Discount

SP = 130 - 19.5

= 110.5

Profit = SP - CP

= 110.5 - 100

= 10.5

Calculating the gain%

Gain% = 10.5/100 x 100

= 10.5

Answer: The gain percent made by shopkeeper is 10.5%.

Great Falls is at approximately 47.5 degrees N, and 111.3 degrees W. Lemhi is approximately 45.5 degrees N, and 113.5 degrees W. (We will assume the rivers flow straight from Great Falls to Lemhi on the surface of Earth). Apply the Law of Cosines for Sides of a spherical triangle to find the angle between Great Falls and Lemhi.

Answers

Answer:

The angle between Great Falls and Lemhi is approximately 3.02°

Step-by-step explanation:

The location parameters are;

The Great Falls location = 47.5° N, 111.3° W

The location of Lemhi = 45.5 °N and 113.5 °W

Therefore, we have;

The angle between the Great Falls and the poles, AP = 90° - 47.5° = 42.5°

The angle between Lemhi and the poles, PB = 90° - 45.5° = 44.5°

The angle between the lines of longitude, P = 113.5° - 113° = 0.5°

By the law of cosines for Sides of a spherical triangle, we have;

CosAB = cos AP·cosPB + sinAP·sinPB·cosP

Where;

AB = The angle between Great Falls and Lemhi

∴ CosAB = cos(47.5°) × cos(44.5°) + sin(47.5°) × sin(44.5°) × cos(0.5°) ≈ 0.9986

AB ≈ arccos(0.9986) ≈ 3.02°

The angle between Great Falls and Lemhi ≈ 3.02°

PLEASE HELP will give right answer brainiest

Answers

Answer:

48 -52  and 64 - 66

Step-by-step explanation:

sence it dosent give exact numbers on the graph ur going to have to estimate then to find when it increases look for an interval were it goes up reading from left to right and for decreasing look for an interval that is going down reading the graph left to right

Number 1 is b and number 2 is c
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