what is the factored form of the expression? 4x^2-81y^2

Answers

Answer 1

[tex]4x^2-81y^2 [/tex]

[tex](2x)^2-(9y)^2 [/tex]

[tex](2x+9y)(2x-9y)[/tex]

Answer 2

[tex]4x {}^{2} - 81y {}^{2} [/tex]
Write the expressions 4 & 81 in exponential form with an exponent of 2.

[tex] = 2 {}^{2} x {}^{2} - 9 {}^{2} y {}^{2} [/tex]
Multiply the terms with equal exponents by multiplying their bases.

[tex] = (2x) {}^{2} - (9y) {}^{2} [/tex]
Using
[tex]a {}^{2} - b {}^{2} = (a - b)(a + b)[/tex]
Factor the expression.

[tex] = (2x - 9y) \times (2x + 9y)[/tex]

Related Questions

The graph represents f(x), and g(x) = 7x – 42.

Which statement about these functions is true?

A) The y-intercept of g(x) is less than the y-intercept of f(x).
B) The y-intercept of g(x) is greater than the y-intercept of f(x).
C) The x-intercept of g(x) is less than the x-intercept of f(x).
D) The x-intercept of g(x) is greater than the x-intercept of f(x).

Answers

[tex]g(x)=7x-42\\\\\y-intercept\ of\ g(x):\\\\f(0)=7\cdot0-42=-42\to(0;\ -42)\\\\x-intercept\ of\ g(x):\\\\0=7x-42\ \ \ \ |+42\\7x=42\ \ \ |:7\\x=6\to(6;\ 0)[/tex]

[tex]f(x)=ax+b\\\\y-intercept\ of\ f(x):\ (0;\ -3)\\\\x-intercept\ of\ f(x):\ (6;\ 0)[/tex]

Answer:

A) the y-intercept of g(x) is less than the y-intercept of f(x).

Jim is climbing a mountain that has a base 150 feet above sea level. If he climbs 233 feet then descends into a cave 64 feet, how far above sea level is Jim? A. 86feet, B. 169 feet, C. 214 feet, D. 319 feet.

Answers

we know that

1) Jim is climbing a mountain that has a base -----> 150 ft above sea level
2) He climbs 233 ft------------> 150 ft+233 ft----> 383 ft above sea level
3) He descends into a cave 64 ft------> 383 ft-64 ft----> 319 ft above sea level

the answer is
the option
D. 319 feet.

Find the work done by the force field f(x,y,z)=3xi+3yj+7kf(x,y,z)=3xi+3yj+7k on a particle that moves along the helix r(t)=3cos(t)i+3sin(t)j+3tk,0≤t≤2π

Answers

Call the path [tex]\mathcal C[/tex]. Then the work done by [tex]\mathbf f(x,y,z)[/tex] along [tex]\mathcal C[/tex] is given by the line integral,[tex]\displaystyle\int_{\mathcal C}\mathbf f(x,y,z)\cdot\mathrm d\mathbf r=\int_{t=0}^{t=2\pi}\mathbf f(x(t),y(t),z(t))\cdot\dfrac{\mathrm d\mathbf r}{\mathrm dt}\,\mathrm dt[/tex]
Swapping the [tex]\mathbf{ijk}[/tex] notation out for ordered component notation, I'll write
[tex]\mathbf r(t)=(x(t),y(t),z(t))=(3\cos t,3\sin t,3t)[/tex]
so that
[tex]\dfrac{\mathrm d\mathbf r}{\mathrm dt}=(-3\sin t,3\cos t,3)[/tex]
The line integral reduces to[tex]\displaystyle\int_0^1(9\cos t,9\sin t,7)\cdot(-3\sin t,3\cos t,3)\,\mathrm dt[/tex][tex]=\displaystyle\int_0^1(-27\cos t\sin t+27\sin t\cos t+21)\,\mathrm dt[/tex][tex]=\displaystyle21\int_0^1\mathrm dt=21[/tex]

Tony is making small bags of bird seed from a larger bag of bird seed that wieghs 11.6 pounds if he puts the same amount in each of 6 bags how much will each bag wiegh?

Answers

For this case we have the following division:
Weight each bag = Total weight / number of bags
Substituting values we have:
Weight each bag = (11.6) / (6)
Weight each bag = 1.933333333 pounds
Answer:
each bag will wiegh about:
1.933333333 pounds

Ginger is filing her federal income tax return with the 1040EZ form, and she received two W-2 forms, with the federal income tax withheld on one being $4530, and the federal income tax withheld on the other being $540. If Ginger received a Making Work Pay credit of $400, and if lines 9a and 9b in the Payments, Credits, and Tax section below are $0, what should she enter on line 10?
A. $4670
B. $4930
C. $5470
D. $5070

Answers

The answer is C. 5470

Answer - C

Add 4530 + 540 + 400 = 5470

Y=-6x-5 x and y intercept form

Answers

y = -6x - 5

y intercept = -5

Now solve for x.
y = -6x - 5
-6x = y + 5
x = -1/6y - 5/6

x intercept = -5/6

i think you mean standard form y+6x=-5

one of the largest animal rehab places facilities in Montana. If there success rate, depending on the year is between 35 and 40 percent. According to the website is 2015, 234 raptors were taken in. Based on this data about how many rapotors were successful that year?

Answers

Bar models help try them out :)

Final answer:

To estimate the number of successful raptors in 2015, we can use the success rate provided by the website. If we assume a success rate of 35 percent, approximately 82 raptors were successful that year.

Explanation:

To estimate the number of successful raptors in 2015, we can use the success rate provided by the website. The success rate is between 35 and 40 percent. So, if we assume a success rate of 35 percent, we can calculate the number of successful raptors as follows:

Number of successful raptors = 35% of 234 raptors

Number of successful raptors = 0.35 * 234

Number of successful raptors = 81.9

Rounding to the nearest whole number, approximately 82 raptors were successful in 2015.

You invest $230 to start a sandwich stand and decide to charge $4.25 per sandwich. How much money will you make if you sell 75 sandwiches?

Answers

You should do 4.25*75= 318.75
So you'll make $318.75

We have been given that the cost to start the sandwich stand is $230.

Now, the cost of one sandwich is given by $4.25

Also, it has been given that total 75 sandwiches sold.

Thus, the cost of 75 sandwiches is given by

[tex]75 \times 4.25\\ \$ 318.75[/tex]

Now, the sandwich stand cost $230 and the earning in selling of 75 sandwiches is $ 318.75.

Therefore, the profit is given by

[tex]318.75-230 =\$88.75[/tex]

Hence, I can make $88.75 on selling of 75 sandwiches.

Use a proportion to convert 18 grams to milligrams. [Hint: 1,000 mg = 1 g.]

Answers

x/18=1000/1
18000=1x
18000mg

Our proportion would be:

[tex] \frac{1g}{1000mg} = \frac{18g}{x} [/tex]

We would then cross-multiply and our answer would be 18,000 milligrams.

eliminate the parameter,t, in the parametric equation, x=6cos t, and y =3 sin t

Answers

To eliminate the parameter t in the parametric equations x = 6 cos t and y = 3 sin t, we can use the trigonometric identity

cos⁡²t + sin⁡²t = 1cos²t + sin²t = 1.

Starting with x=6 cos t, we can rewrite it as cos t=x6 and from y=3 sin t, we can rewrite it as sin t = (y/3).

Now, we square both equations:

(cos t)² = (x/6)²

(sin t)² = (y/3)²

As soon as we multiply both sides by 36, we arrive at:

x² + 4y² = 36

Therefore, the equation x² + 4y² = 36 is the Cartesian equation that eliminates the parameter t from the given parametric equations.

To eliminate the parameter t in the parametric equations x=6 cos t and y=3 sin t, we use trigonometric identities.

From x=6 cost, we get cos t = x//6, and from y = 3 sin t, we get sin t = (y/3).

Squaring both equations and using the identity cos2t+sin2t=1 we obtain (x/6)² + (y/3)² = 1. Simplifying, we get (x²/36) + (y²/9) = 1 which, after multiplying by 36, becomes x² + 4y² = 36. Thus x² + 4y² = 36 is the Cartesian equation eliminating the parameter t.

Complete Question:

Eliminate the parameter, t, in the parametric equation, x=6 cos t, and y =3 sin t.

5 Stars and Brainliest to correct answer

Answers

At θ = 90°, the equation must evaluate to zero. The only one that does that is the 1st choice ...
r = 2 - 2sin(θ)

Clem Colfax had $10 to buy groceries. He needed milk costing 70 cents a carton, bread costing 60 cents a loaf, breakfast cereal costing 50 cents a box, and meat costing $1.50 a pound. He bought twice as many cartons of milk as he did loaves of bread, the number of boxes of cereal was one more than the number of loaves of bread, and the number of pounds of meat was the same as the number of boxes of cereal. How many of each did he buy if the total he spent was exactly $10?

Answers

The first thing we must do for this case is to define variables:
w: pounds of meat
x: carton of milk
y: loaf of bread
z: cereal breakfast box
We write the system of equations:
0.70x + 0.60y + 0.50z + 1.50w = 10
x = 2y
z = y + 1
w = z
Solving the system we have:
w = 3
x = 4
y = 2
z = 3
Answer:
3 pounds of meat
4 cartons of milk
2 loaves of bread
3 boxes of breakfast cereal

You spend $77 shopping. You buy some shirts at $12 each, and spend $5 on food. How many shirts did you buy?
A.
5x + 12 = 77
B.
x(12 + 5) = 77
C.
12x + 5 = 77
D.
12*5+x=77

Answers

Fam I'm ganna say the answer is C✌

In order to find this out,, we need to know that $12 is the changing number. This number depends on how many shirts were bought,, so we must put this with x. We also know that $5 is our constant (does not change) and we spent a total of $77 so our equation should equal to 77. This means that our equation should look like the following:
12x + 5 = 77
This means that the correct answer to your question is going to be option C.
Let me know if you have any further questions.
:)

write an inequality to represent the situation. the temperature stayed above -15 degrees

Answers

t will represent temperature so

t > -15°

t will represent temperature

t > -15°

What is the value of x? sin49°=cosx Enter your answer in the box.

Answers

we know that
if sin A=cos B
then
angle A and angle B are complementary angles
A+B=90°

in this problem
sin49°=cosx
so
49°+x=90-------> x=90-49--------> x=41°

the answer is
x=41°

Answer:

[tex]x=41^o[/tex]

Step-by-step explanation:

We have been given an equation [tex]sin(49^o)=cos(x)[/tex] and we are asked to find the value of x.

Since we know that trigonometric ratios are applied to right triangles and we also know that [tex]sin(a)=cos(b)[/tex], where a and b are the angles other than 90 degree angle.

As one angle of our triangle is given 49 degrees, so to find the value of angle x we need to subtract 49 degrees from 90 degree angle as 49 degree angle and x will be equal to 90 degrees.

[tex]x=90^o-49^o[/tex]

[tex]x=41^o[/tex]

Therefore, the value of x is 41 degrees.

(a^3 / 4)^2
Simplify

Answers

Well, you can change this to (a^3/4)(a^3/4), which is equal to a^6/16, because a^3 times a^3=a^6, and 4 times 4=16.
I hope this helps!
-Raiden

Multiply the exponents in (a^3/4)^2 =a^3/2 simplified

What is the volume of the cylinder below? Radius of 8 height of 3

Answers

Volume = pi times r^2 times height.
So 3.14x8^2x3
8^2 (8 squared=64)
So the answer is 3.14x64x3 which equals 602.88

ANSWER

The volume of the cylinder is

[tex]V= 602.88 \: square \: units[/tex]

EXPLANATION

The formula for calculating the volume of a cylinder is,

[tex]V = \pi \: {r}^{2} h[/tex]

Where

[tex]r = 8[/tex]
is the radius of the cylinder and

[tex]h = 3[/tex]

is the height of the cylinder.

Also we use the approximate value for π which is
[tex]3.14[/tex]

We substitute the above values into the formula to get

[tex]V = 3.14\times {8}^{2} \times 3[/tex]

[tex]V =3.14\times 64 \times 3[/tex]

[tex]V = 602.88 \: square \: units[/tex]

Hence the volume of the cylinder is 602.88 square units.

Suppose sarah is trying to design a metal box (a rectangular prism), which will hold 200 cubic centimeters of liquid. the length of the box must be 4 times as large as the width.

Answers

volume = length * width * height = lwh (measured in cubic units)
so 2000 cm^3 = lwh
we know that l = 4w so sub that into the equation
2000 = (4w)*w*h
2000 = 4w^2*h

You didn't include the rest of the question so this is as far as i can go.

Concerned about graffiti, mayors of nine suburban communities instituted a citizen community watch program. community monthly incidents after monthly incidents before burr oak 2 7 elgin corners 3 2 elm grove 6 2 greenburg 4 3 huntley 5 11 north lyman 3 9 south lyman 3 5 pin oak 5 7 victorville 2 3 click here for the excel data file (a) choose the appropriate hypotheses to see whether the number of graffiti incidents declined. assume μd is the mean difference in graffiti incidents before and after.

Answers

This is a problem on hypothesis testing on the difference of two dependent means. To solve for this one, the difference for each pair should be solved.

After it, the mean and standard deviation of the differences should also be calculated. Then, we state the null and alternative hypotheses.

The null hypothesis is [tex]H_{0}: \mu_d=0[/tex]
The alternative hypothesis is [tex]H_a: \mu_d\ \textgreater \ 0[/tex]

These are the required hypotheses to see whether the number of graffiti incidents declined.

In order to be clear, the data are reported in the picture attached.

The null hypothesis H₀ represents what is believed true if the data don't prove the opposite.
The alternative hypothesis H₁ is the conclusion we want to deduce from the test.

If we call d the difference in graffiti before (B) and after (A) (pay attention to the order) d = B - A.
We want to prove that the incidents are declined, therefore B should be greater than A and d would be positive.

Therefore:
H₀ : μd ≤ 0
H₁ : μd > 0

Which distance measurement is the most precise?
A). 20.1 yards
B). 7 yards
C). 15.98 yards
D). 19 yards

Answers

Answer:

Step-by-step explanation:

Alright, lets get started.

The most precise measurement is, the one which has most numbers after the decimal.

The number round off to hundred decimal place is more precise than the number round off to tenth decimal place.

There are 4 different numbers in which two numbers are complete number 7 and 19.

20.1 is rounded off to nearest tenth.

15.98 is rounded off to nearest hundred.

So, 15.98 yards is the most precise. : Option C

Hope it will help :)

Answer:

15.98 yards

Step-by-step explanation:

Which of the choices below represents the definition of information secrecy?

Answers

Information secrecy is the practice of hiding information from certain individuals or groups who do not have the "need to know", perhaps while sharing it with other individuals. That which is kept hidden is known as the secret. Choose the answer that meet this definition

Secrecy (also called clandestinity or furtiveness) is the practice of hiding information from certain individuals or groups who do not have the "need to know", perhaps while sharing it with other individuals. That which is kept hidden is known as the secret.

State whether the given measurements determine zero, one, or two triangles. B = 86°, b = 21, c = 18

In need of help asap

Answers

we know that
Applying the law of sines
b/sin B=c/sin C-----> b*sin C=c*sin B-----> sin C=c*sin B/b
c=18
b=21
B=86°
sin C=18*sin 86/21-----> sin C=0.8550------> C=arc sin(0.8550)
C=58.77°------> C=58.8°
calculate angle A
A+B+C=180--------> A=180-B-C----> A=180-86-58.8----> A=35.2°
b/sin B=a/sin A-------> a=b*sin A/sin B----> a=21*sin 35.2/sin 86
a=12.13-------> a=12

the measure of the first triangle are
a=12
b=21
c=18
A=35.2°
B=86°
C=58.8°

calculate the measures of the second triangle
b=21
c=18
B=86°
C=180-58.8----> C=121.2°
A+B+C=180-----> A=180-86-121.2----> A=-27.2----> It is not possible to build a second triangle

the answer is
it is possible to assemble only a single triangle
a=12
b=21
c=18
A=35.2°
B=86°
C=58.8°

Answer:

one triangle

Step-by-step explanation:

For 10 days in a row Fiona and Gary timed how long they brushed their teeth
Find the mean of each data set

Answers

(X (Fiona) + Y (Gary))/20 (10 days for each of them so it’s 20)

(x+y)/6

The mean or the average of a number is calculated by adding the frequencies of the given data and then dividing by the total frequency. It is represented by the formula mentioned under -

Mean = [tex] \frac{Sum of all the frequencies}{Number of frequencies} [/tex]

Similarly, here, we need to find the mean of their time spent in brushing.

It will be calculated as -

For Fiona

Mean of time spent in brushing = [tex] \frac{Sum of the total time spent in 10 days}{10 days} [/tex]

Similarly, for Gary

Mean of time spent in brushing = [tex] \frac{Sum of the total time spent in 10 days}{10 days} [/tex]

what is the last step in planning your budget

Answers

calculating the cost of things and adding totals and finding out how much you will have left over

Answer:

review and revisions

Step-by-step explanation:

Scientists discovered a large star 400,000 light years from Earth.A light-year is about 5,880,000,000,000 miles.What is the distance of the large star from Earth in scientific notation?

Answers

So if you want to find the distance, you would take 400,000x5,880,000,000,000=
2.35200000E+18. So your answer would be 2.35200000E+18 in scientific notation it would be 2.35200000x10^18. I hope this helps!

HELP ASAP! Which figure shows how a shape can be rotated about an axis to form the given object?

Answers

bottom right - took test

Answer:

Option D.

Step-by-step explanation:

To find the answer we will analyse each options.

Option A.

If we rotate a semicircle by a vertical axis then an sphere will be formed. Therefore this option is not correct.

Option B.

In this rotation we will get a hollow sphere, so this option is also not correct.

Option C.

By rotation of a strip we will find the shape similar to the given object but there will not be a hole at the center. Therefore, the option is not correct.

Option D.

When we rotate this strip with a distance from vertical axis, we will find the same shape as given in the picture.

Option D is the correct option.

hey can you please help me posted picture of question

Answers

The answer is B. Hope this was helpful.

Answer:
144

Explanation:
In the closet, we have:
6 pairs of pants
8 shirts
3 pairs of shoes

To know the number of possible combinations that could be made from the available objects, all we have to do is multiply all three numbers together.
Therefore:
possible outcomes = number of pants * number of shirts * number of shoes
possible outcomes = 6 * 8 * 3
possible outcomes = 144

This means that the tree diagram would have 144 leaves to represent all possible combinations.

Hope this helps :)

please help!!! trying to finish early

Answers

To solve this problem you must apply the proccedure shown below:

The linear functions have the form y=mx+b

where m is the slope and b is the y- intercept

Therefore, you have:

1) The slope -6/5 and b=(0,8) is:

y=(6/5)x+8

2) You have 3x-2y=1. Then, you only have to clear y:

y=(3/2)x-1/2

The measure of forecast error when the average absolute error of each forecast is shown as a percentage of demand is

Answers

The answer is: "mean absolute percentage error {"MAPE"} .
_________________________________________________________

Line m has a slope of -1 over 5. What is the slope of a line that is perpendicular to line m?

Answers

If slopeof a line = -1/5, then the line perpendicular to that line has the opposite inverse slope.

The line perpendicular to a line with slope = -1/5 has a slope of 5.

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Explain what happens when two light waves traveling from the same direction of displacement meet. A researcher wishes to determine whether the starting salaries of high-school math teachers in private schools are different from those of high-school math teachers in public schools. she selects a sample of new math teachers from each type of school and calculates the sample means and sample standard deviations of their salaries. g 30 POINTS - The tables below represent the profits earned by a merchandiser from four new consignments of t-shirts. Each consignment contained t-shirts of five different sizes. If we were to plot each of the t-shirt sizes and the profit earned on each new size, we would get a different graph for each consignment. Almost all the graphs showed some association between the two variables, except one consignment, which showed no association. Which of the following consignments shows no association? The members of a social aggregate must all have similar social statuses. a. True b. False The polar head of a phospholipid is made of _______ molecules. phosphate protein fatty acid carbohydrate Jack has a condition where mucus builds up in his lungs. This makes it more difficult for gas exchange to take place. Which two organ systems are primarily affected by this? When julie's boyfriend bought her a nice present, she thought, "he buys me presents because hes such a nice person. this kind of explanation is referred to as? When breathing into the mouth of an infant during CPR, you should cover their mouth and nose with your mouth why do volcanoes erupt? two angles are drawn below. the measure of angle x is 90a. 20b. 60c. 100d. 120 Read the passage from My Antonia by Willa Cather.My AntoniaDuring that burning day when we were crossing Iowa, our talk kept returning to a central figure, a Bohemian girl whom we had known long ago and whom both of us admired. More than any other person we remembered, this girl seemed to mean to us the country, the conditions, the whole adventure of our childhood.Which point of view is used in the passage? how did some latino individuals and groups go about getting what they wanted Which method does not deduct residual value in calculating depreciation expense? A. Straight-line method B. Units-of-production method C.Declining-balance method D. None of these E. All of these The study of obedience took on a renewed importance in the wake of ________. There are 453.592 grams in one pound . A semi slick , Kevlar tire weighs about 520 grams . What is the tires weighs in pounds ? A student added an enzyme to a flask containing a substrate and placed the mixture over a flame. She observed the reaction for a few minutes when she noticed that the reaction appeared to have stopped. She was puzzled because there was still a large amount of substrate left in the reaction flask. A pH test confirmed that the pH of the solution was in an acceptable range. Which is the most likely explanation for the decreased reaction rate? Will mark as Brainliest.The number of wild flowers growing each year in a meadow is modeled by the function f(x).f(x)=[tex] \frac{1000}{1+9e^{-0.4x} } [/tex]Which statements are true about the population of wild flowers?Select each correct answer.A. Initially there were 100 wild flowers growing in the meadow.B. 42 more wildflowers will grow in the 11th year than in the 10th year.C. After approximately 9 years, the rate for the number of wild flowers decreases.D. In the 15th year, there will be 1050 wild flowers in the meadow. When two atoms of 2H (deuterium) are fused to form one atom of 4He (helium), the total energy evolved is 3.83 10-12 joules. What is the total change in mass (in kilograms) for this reaction? _____ is the human record of people and their relationships with other humans or the environment. What happens to the volume of a sugar solution as more sugar is dissolved in it?