Factor 16w^4+16w^2-140​

Answers

Answer 1

Find the Greatest Common Factor (GCF)

GCF = 4

Factor out the GCF. (Write the GCF first, then in parenthesis, divide each term by the GCF)

4(16w^4/4 + 16w^2/4 - 140/4)

Simplify each term in parenthesis

4(4w^4 + 4w^2 - 35)

Split the second term in 4w^4 + 4w^2 - 35 into two terms

4(4w^4 + 14w^2 - 10w^2 - 35)

Factor out common terms in the first two terms, then in the last two terms.

4(2w^2(2w^2 + 7) - 5(2w^2 + 7))

Factor out the common term 2w^2 + 7

= 4(2w^2 + 7)(2w^2 - 5)


Related Questions

What capital leffer appears to have parallel lines?



D or L or N or T?

Answers

Answer:

N, the verticle lines are are parallel

Step-by-step explanation:

Answer:

N

Step-by-step explanation:

Note to the wise:  It's letter, not leffer.  

Only N has 2 parallel lines.

Length of a rectangle is 5 cm longer than the width. Four squares are constructed outside the rectangle such that each of the squares share one side with the rectangle. The total area of the constructed figure is 120 cm2. What is the perimeter of the rectangle?

Answers

Answer:

The perimeter of rectangle is [tex]18\ cm[/tex]

Step-by-step explanation:

Let

x------> the length of rectangle

y----> the width of rectangle

we know that

The area of the constructed figure is equal to

[tex]A=xy+2x^{2} +2y^{2}\\A=120\ cm^{2}[/tex]

so

[tex]120=xy+2x^{2} +2y^{2}[/tex] -----> equation A

[tex]x=y+5[/tex] -----> equation B

substitute equation B in equation A

[tex]120=y(y+5)+2(y+5)^{2} +2y^{2}\\120=y^{2}+5y+2(y^{2}+10y+25)+2y^{2}\\120=y^{2}+5y+2y^{2}+20y+50+2y^{2}\\5y^{2}+25y+50-120=0\\5y^{2}+25y-70=0[/tex]

using a graphing calculator to resolve the quadratic equation

the solution is

[tex]y=2\ cm[/tex]

Find the value of x

[tex]x=2+5=7\ cm[/tex]

Find the perimeter of rectangle

The perimeter of rectangle is equal to

[tex]P=2(x+y)\\P=2(7+2)=18\ cm[/tex]

What is the slope of the line through the points (–2, –1) and (8, –3)?

Answers

-3 + 1 = -2

8 + 2 = 10

-2/10 = -1/5

Answer = -1/5

The slope of the line through the points (2, 1) and (8, 3) is calculated using the slope formula and is -1/5.

To find the slope of a line passing through two points, you will need to use the slope formula, which is:

(change in y) / (change in x)or (y2 - y1) / (x2 - x1).

For the points given (–2, –1) and (8, –3), you would calculate the slope as follows:

Slope (m) = (-3 - (-1)) / (8 - (-2)) = (-3 + 1) / (8 + 2) = (-2) / (10) = -1/5.

So, the slope of the line through the points (–2, –1) and (8, –3) is -1/5.

URGENT!!! Write the product as a sum or difference.
18cos(29x)cos(17x)
Select the correct answer below:


9sin(46x)+9sin(12x)

9sin(46x)−9sin(12x)

9cos(46x)+9cos(12x)

9cos(46x)−9cos(12x)

9cos(46x)+9sin(12x)

9sin(46x)−9cos(12x)

Answers

Answer:

9cos(46x) + 9cos(12x)

Step-by-step explanation:

18cos(29x)cos(17x)

According to Product-Sum identities

cos(α)cos(β)= (1/2)[cos(α+β)+cos(α-β)]

Putting α=29x and  β=17x in Product-Sum identity we get

= 18×(1/2)[cos(29x+17x)+cos(29x-1`7x)]

Dividing 18 by 2 we get 9

= 9[cos(46x)+cos(12x)]

Multiplying 9 with both the terms we get

= 9cos(46x)+9cos(12x)

in a game the player wins if he rolls a 6 on a number cube .if the number cube is rolled 18 times then what is the reasonable
prediction for the number of unsuccessful rolls​

Answers

Answer:

Prediction for the number of unsuccessful rolls is 15.

Step-by-step explanation:

There is [tex]\frac{1}{6}[/tex] chance of rolling number 6 on the cube. If we want to find out what is the prediction for rolling number 6 in 18 rolls, we need to multiply [tex]6*\frac{1}{6}[/tex] which is 3. So if we roll a cube 18 times, we will probably got number 6 three times. When we subtract 3 from 18 (18-3), we get 15. That is the answer to your question.

I hope I helped you. I will be really happy, If you mark my answer as the brainliest.Your David

Please, can someone graph this for me and include a file?

g(x) = x3 − x2 − 4x + 4

Answers

ANSWER
See attachment

EXPLANATION

The given function is

[tex]g(x) = {x}^{3} - {x}^{2} - 4x + 4[/tex]

The y-intercept is

[tex]g(0) = 4[/tex]

To find the x-intercepts, we equate the function to zero.

[tex] {x}^{3} - {x}^{2} - 4x + 4 = 0[/tex]

Factor by grouping;

[tex] {x}^{2}(x - 1) - 4(x - 1)= 0[/tex]

[tex]( {x}^{2} - 4)(x - 1)= 0[/tex]

[tex]{x}^{2} - 4 = 0 \: or \: x - 1 = 0[/tex]

[tex]x = \pm \: \sqrt{4} \: or \: x = 1[/tex]

[tex]x = \pm \: 2\: or \: x = 1[/tex]

[tex]x = - 2\: or \: x = 1 \: or \: x = 2[/tex]

The x-intercepts are;

(-2,0),(1,0) and (2,0)

Since the polynomial has an odd degree and a positive leading coefficient, the graph will rise on the left side and also rise on the right side.

Using the intercepts and the end behavior, we obtain the graph as shown in the attachment.

Jason inherited a piece of land from his great-uncle. Owners in the area claim that there is a 45% chance that the land has oil. Jason decides to test the land for oil. He buys a kit that claims to have an 80% accuracy rate of indicating oil in the soil. What is the probability that the land has no oil and the test predicts it has oil?

Answers

Answer:

Don't take my word for it but I think it would be 55% chance. I'm Probably wrong.

Step-by-step explanation:

Answer:

9% or 0.09

Step-by-step explanation:

Given, chance of land having oil is 45%. Which is 0.45

So, chance of land NOT having oil is  percent. Which is 0.55

Given, kit's accuracy rate of finding oil as 80%. Which is 0.80

So, kit's accuracy rate of NOT finding oil is   percent. Which is 0.20

These 2 events are INDEPENDENT, which means that the probability of one event occurring does not affect the probability of another event occuring.

The formula, if we let the two evens be A and B, is:

P(A and B)=P(A) * P(B)

Now, "the probability that the land has oil (event A)AND the test predicts that there is no oil (event B)" will be:

P(A and B) = P(A) * P(B)

Hence, the probability is 0.09 or 9%

caitlin had some money. after her shopping spree at redmond town center she had $5 left. she bought a new pair of shoes for $48, 2 pais of jeans at $19 each, and 2 t-shirts at $13 each. how much money did she have at the beginning

Answers

Answer:

$117

Step-by-step explanation:

Add 48 + 19 + 19 + 13 + 13 + 5 = 117

She had $117 dollars. 48+19+19+13+13+5=117.

Why did President Reagan order the CIA to recruit the Contras?

a.) He wanted to use the Contras to help free US hostages being held by terrorists.
b.) He thought they could help the United States sell arms to countries fighting Communism.
c.) He thought they were necessary to oust a Communist-leaning government in Nicaragua.
d.) He felt that it would prompt Congress to change its stand on US involvement in Latin America.

Answers

President Reagan order the CIA to recruit the Contras because of option (c) He thought they were necessary to oust a Communist-leaning government in Nicaragua.

What is meant by Reagan Revolution?

Reagan revolution is defined as the era which is basically referring to the changes that happened America during the reign of the president Ronald Reagan.

Reagan, when ruling had many policies that no other ruler before made into the rule.

Some of his policies includes decreasing the income taxes for the people, decreasing the the budget of government, maintenance of low rate of interest, and the other elimination of useless programs.

Along with this, he aims to eliminate the communism globally.

Nicaragua was a region which was highly affected with communism.

The contras' were the one opposing the communism in Nicaragua.

So CIA assisted this contras along with other anti communist causes under the name Reagan Doctrine.

Hence option c is correct.

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I WILL MARK BRAINEST PLEASE HELP

Answers

Answer:

D is the answer

Step-by-step explanation:

This question requires a calculator

What is the length of a rectangle whose perimeter is P, if the width is 6?

Answers

Answer:

(P-12)/2 = L

Step-by-step explanation:

1. Start off with an equation in terms of perimeter

P = (2)(6) + (2)(L)

2. Multiply the two and the six

P = 12+ (2)(L)

3. Move the terms around so only "L" is on one side

(P-12)/2 = L

hope this helped :)

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Step-by-step explanation:

Answer:

And for people struggling with simpler answers, here!

Step-by-step explanation:

P-12

———-

2

or

P-12/2

Use the drawing tool(s) to form the correct answer on the provided number line.
An internet service provider is implementing a new program based on the number of connected devices in each household. Currently, customers are charged a flat rate of $175 per month. The new plan would charge a flat rate of $94 plus an additional $4.50 per device connected to the network. Find and graph the number of devices, x, for which the cost of the new plan is less than the current plan.

Answers

Answer:

n < 18

Step-by-step explanation:

The condition you are looking for is that

                                         94 + 4.50n < 175

Subtract 94 from each side     4.50n < 81

Divide each side by 4.50                 n < 18

The number of devices must be fewer than 18 for the new plan to cost less than the current plan.

The diagram is a graph of the inequality 94 + 4.50n < 175. Any value of n less than 18 (that is, in the pink zone and not on the vertical dashed line) will satisfy the inequality.

Dawn has 1.20 in nickels, dimes and quarters. For each nickel she has one dime and for each dime she has one quarter. How many total coins does she have?

Answers

Answer:

9

Step-by-step explanation:

"For each nickel, she has one dime"

That means she has the same number of nickels and dimes.

"for each dime she has one quarter"

That means she has the same number of quarters and dimes.

She has the same number of each coin.

Let's say she has x coins of each type.

The nickels are worth 0.05x; the dimes are worth 0.10x. The quarters are worth 0.25x. Altogether, the coins are worth

0.05x + 0.10x + 0.25x

We are told her coins are worth $1.20, so we set those two amounts equal and solve for x.

0.05x + 0.10x + 0.25x = 1.20

0.40x = 1.20

x = 1.20/0.40

x = 3

She has 3 coins of each type. Since there are 3 types of coins, she has 9 coins.

Final answer:

Dawn has a total of 9 coins, which include 3 nickels, 3 dimes, and 3 quarters.

Explanation:

The subject of this question is a math problem involving counting coins. In this scenario, dawn has a total of $1.20 in nickels, dimes, and quarters. And the number of nickels, dimes and quarters are equal since for every nickel Dawn has, she also has a dime and a quarter.

Now, the value of a nickel is $0.05, a dime is $0.10 and a quarter is $0.25. So, the total value of a nickel, a dime and a quarter is $0.40. Therefore, since the total amount of money she has is $1.20, we divide that amount by the total value of each group of coins: $1.20 / $0.40 gives us 3.

So Dawn has 3 nickels, 3 dimes, and 3 quarters, for a total of 9 coins.

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A rectangular flowerbed is 22 inches long by 8 inches wide. The flowerbed is filled to a depth of 6 inches with dirt. What is the volume, in cubic inches, of the dirt in the flowerbed?

176

180

712

1056

Answers

Answer:

The volume of the dirt in the flowerbed is [tex]1,056\ in^{3}[/tex]

Step-by-step explanation:

we know that

To find the volume of the dirt in the flowerbed, multiply the long by the width by the depth

so

[tex]V=(22)(8)(6)=1,056\ in^{3}[/tex]

Final answer:

To calculate the volume of dirt in a rectangular flowerbed with dimensions of 22 inches by 8 inches by 6 inches, use the formula Volume = length × width × height, resulting in 1056 cubic inches.

Explanation:

The question asks for the volume of dirt a rectangular flowerbed can hold. To find the volume, we use the formula Volume = length × width × height. Given the dimensions are 22 inches (length) by 8 inches (width) by 6 inches (height), we calculate the volume as:

Volume = 22 in. × 8 in. × 6 in. = 1056 cubic inches. Therefore, the volume of the dirt in the flowerbed is 1056 cubic inches.

I was supposed to determine the length of the winding path through the circle.

my answer is
[tex]12.56 \: in {}^{2} [/tex]
Is this correct?​

Answers

Check the picture below.

the idea being, the winding path is made out of semi-circles, each semi-circle has a diameter of 3, as you see there in the picture.

now, if we could just take two semi-circles, we'd have a full circle, with a diameter of 3, so from all 4 semi-circles we can actually get two full circles, as you see there, and the circumference of those two full circles, is the length of the winding path.

[tex]\bf \textit{circumference of a circle}\\\\ C=\pi d~~ \begin{cases} d=diameter\\[-0.5em] \hrulefill\\ d=3 \end{cases}\implies C=3\pi \qquad \stackrel{\textit{two circles added together}}{3\pi +3\pi \implies 6\pi ~~\approx~~18.85}[/tex]

Find the arc length of the partial circle..

Answers

Answer:

The arc length of the partial circle is [tex]6\pi\ units[/tex]

Step-by-step explanation:

we know that

The circumference of a circle is equal to

[tex]C=2\pi r[/tex]

In this problem we have a 3/4 of a circle

so

the circumference is equal to

[tex]C=(\frac{3}{4})2\pi r[/tex]

[tex]C=\frac{3}{2}\pi r[/tex]

we have

[tex]r=4\ units[/tex]

substitute

[tex]C=\frac{3}{2}\pi (4)[/tex]

[tex]C=6\pi\ units[/tex]

(x^4 – x^2 – 6) ÷ (x^2 + 8)

Answers

Answer:

x² - 9  Remainder 66

Step-by-step explanation:

Find the attachment below for a step by step explanation.

Answer:

[tex]x^2-9[/tex]

Step-by-step explanation:

We are given the following expression and we are to divide it:

[tex] \frac { x ^ 4 - x ^ 2 - 6 } { x ^ { 2 } + 8 } [/tex]

We divide the first term [tex]x^4[/tex] by [tex]x^{2}+8[/tex] and get [tex]x^{2}[/tex] in the quotient so then we are left with [tex]-9x^{2} -6[/tex].

Further [tex]-9x^{2} -6[/tex] is divided by [tex]x^{2}+8[/tex] to get [tex]-9[/tex] in the quotient and we are left with 66 as the remainder.

So we get the quotient [tex]x^2-9[/tex] and remainder [tex]66[/tex].

Please answer ASAP ​

Answers

Answer:

m = -3/4

Step-by-step explanation:

We can see two points : (0,1) and (4,-2).

Then we find the change of Y/change of X.

This comes out to -3/4, which is the second answer choice.

~~!! i raised the points and i will give brainliest !!~~

what is the 15th term in the sequence:

3, 12, 48, 192, 768, . . . . ?


please explain how you got your answer :) thanks!

Answers

Answer:

r = 3072. A 4 is multiplied times each term to arrive at the next term. OR ... divide a2 by a1 to find the common ratio of 3072. :)

Step-by-step explanation:

he front of an A-frame house is in the shape of a triangle.The height of the house is 20 feet.The area of the A-frame is 600 square feet.Write and solve an equation to find the base of the A-frame house.

Answers

Answer:

Equation: [tex]600=\frac{20b)}{2}[/tex]

Base: 60 feet.

Step-by-step explanation:

The formula for calculate the area of a triangle is:

[tex]A=\frac{bh}{2}[/tex]

Where:

A: is the area of the triangle.

b: is the base of the triangle.

h: is the heigth of the triangle.

Knowing the area of the triangle and its height, you can write the equation:

[tex]600=\frac{20b}{2}[/tex]

Where b is the base in feet of the A-frame house.

To solve it:

Multiply both sides of the equation by 2.

Divide both sides of the equation by 20.

Then:

[tex](2)(600)=(\frac{20b}{2})(2)\\\\1200=20b\\\\\frac{1200}{20}=\frac{20b}{20}\\\\60=b[/tex]

The base of the A-frame house is 60 feet.

Is √1/√49 rational ???

Answers

The square root of 1 is 1, and the square root of 49 is 7, so the number shown is equivalent to 1/7, a rational number.

The number √1/√49 is a rational number.

Given a number √1/√49.

Here the numerator and the denominator includes the square root.

We can see that both the numbers inside the square root is a perfect square.

So the number can actually be written in the integer form.

So,

√1/√49 = 1/7, since 7² = 49

Now rational numbers are numbers which can be written in the form of p/q where p and q are integers with q not equal to 0.

Here the number can be written as 1/7, where 1 and 7 are integers.

Hence it is rational.

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Which triangle is NOT labeled correctly
WILL MARK BRAINLIEST!!!

Answers

red triangle

hypotenuse is the longest side of the right triangle; the opposite of the right angle

The red one, of course

A flag measures 110 feet by 55 feet. Find it’s area

Answers

Answer:

6050

Step-by-step explanation:

Area = length * width

Area = 110 * 55

Area = 6050

Answer:

6050 sq ft (or you could write 6050ft and a little two at the top right next to it at the end)

Step-by-step explanation:

To find the area of something, you must multiply length x width, so in this situation, you would multiply

110 x 55

that would equal 6,050

Which number is 4 units from-1

Answers

4 + -1 = 3

Or -1 - 4 = -5

I would put 3.

need help asap!!!plzz
Find the commission on a sale of $600 with a 5% commission rate.
(A)$45 (B)$30 (C)$60 (D)$15

Answers

Answer: Choice B

Step-by-step explanation:

In order to solve for the amount of commission you need to multiply the amount of the sale times the 5% commission rate.

$600 x .05 = $30

round 0.232 to the nearest hundreth

Answers

The answer will be 0.23

Hoped this helped

Answer:

0.23

Step-by-step explanation:

The first spot to the right of the decimal is the tenths place. Ex. .0

The second spot to the right of the decimal is the hundredths place. Ex. .00

The third spot to the right of the decimal is the thousandths place. Ex. .000

Since you are trying to round to the nearest hundredth you look at the thousandths place. If it is 5 or higher you round up. If it is under 5 you round down.

0.232

Since the 2 is the thousandths place the hundredths stays the same and you drop the thousandths place.

0.23

Find the missing side

Answers

[tex]12 \div 3 = 4[/tex]

so

[tex]x = 20 \div 4[/tex]

x = 5

Answer:

x = 5

Step-by-step explanation:

Since the figures are similar then the ratio of corresponding sides are equal, that is

[tex]\frac{3}{12}[/tex] = [tex]\frac{x}{20}[/tex] ( cross- multiply )

12x = 60 ( divide both sides by 12 )

x = 5

Simplify the expression. 3(2y - 8) - 2y(5 - y)
options-
2y 2 + 16y - 24
-5y - 8
2y 2 - 4y - 24
2y 2 + 16y - 24
some of the 2's in the answer options are exponents.

Answers

Answer:

[tex]\boxed{\bold{2y^2-4y-24}}[/tex]

Step By Step Explanation:

Expand [tex]\bold{3\left(2y-8\right): \ 6y-24}[/tex]

[tex]\bold{6y-24-2y\left(5-y\right)}[/tex]

Expand [tex]\bold{-2y\left(5-y\right): \ -10y+2y^2}[/tex]

[tex]\bold{6y-24-10y+2y^2}[/tex]

Simplify [tex]\bold{6y-24-10y+2y^2}[/tex]

[tex]\bold{2y^2-4y-24}[/tex]

If sinv=-5/13, pi
1. cos(u+v)=
2. sin(u-v)=

Answers

the answer is number 2 sin (u-v)÷

YOU GET 100 POINTS!
Find X.

answer:_________

answer needed by 5pm. no later.​

Answers

Using the intersecting chord theorem:

(6 * 1) = (2*x)

Simplify:

6 = 2x

Divide both sides by 2:

x = 6/2

x = 3

Answer:

x = 3

Step-by-step explanation:

You have to use the Intersecting Cord Theorem

(6 * 1) = 2x

multiply what's in the parenthesis

6 = 2x

divide 2 from both sides

3 = x

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Which element in a story can be helpful in understanding the story's theme? A. characterization B. research C. personal opinion D. preexisting knowledge Plz help!!!!!!!!!!!!!! Please answer this multiple choice question! PLAESE HELP!!!!!!! What is the mean average of hours completing homework each week based on the table below: Number of hours each week completing homework 1 2 3 4 5 # of students 6 20 15 12 7 Could you answer this for me please?-1 2/7 x 1/6 = Please help me, please 1. La capital de Chile es __. Concepcin Via del Mar Valparaso Santiago 2. __ es la moneda nacional de Chile. El quetzal El peso chileno El nuevo sol El dlar 3. Exploradores __ llegaron a la isla de Pascua por primera vez en 1722. chilenos argentinos holandeses americanos 4. __ es famosa por los moi, estatuas enormes que representan personas con rasgos (features) muy exagerados. La isla de Pascua La isla Grande de Tierra del Fuego La Pampa del Tamarugal La lengua mapuche 5. Los rapa nui eran (were) los antiguos habitantes de __. la isla Grande de Tierra del Fuego la Pampa del Tamarugal la isla de Pascua Santiago de Chile 6. El Parque Nacional de Villarrica es un sitio popular para practicar __. el trekking el esqu y el snowboard el espaol la astronoma 7. En Chile, los observatorios de astronoma estn situados en __. Punta Arenas Valparaso Santiago de Chile los Andes 8. La produccin de __ comenz en Chile en el siglo XVI. langosta alpacas productos agrcolas vino 9. Los vinos chilenos son apreciados internacionalmente por __ y su precio moderado. su gran variedad el turismo extranjero su fresco aroma la industria agrcola 10. Cientficos (Scientists) de todo el mundo van a los observatorios de Chile para estudiar __. el heliesqu las estrellas el vino las montaas A triangular sail on a sailboat is 6meter across the bottom and 10 meters tall. What is the area of this sail? Choose the best Spanish equivalent to the phrase clean your room in figure 32-3 a muscle that moves food through your digestive system is shown in What is the length of LE? Buyline is an e-commerce web site. it has come up with a promotional offer where buyers get a 60 percent discount on refrigerators if a minimum of 100 buyers agree to buy the product within 24 hours of the offer being announced. in this case, it is evident that buyline is a _____.a. group buying platformb. peer-to-peer e-commerce platformc. participatory e-commerce sited. social networking sit How do i solve this equation 3x2(9x)0= In what way did the growing conflict in korea symbolize the overall cold war? the width of a rectangle is 5 units less than the lenght. if the area is 104 square units, then find the dimensions of the rectangle Which option identifies the source of Nancys problem in the following scenario?Nancy just turned 85 and did not pass her drivers license test. Because she lost her license, she has not been socializing with her friends, going to the Senior Center, or volunteering at her church, all activities that she previously enjoyed.A) a decline in the hormone testosteroneB) health problems that require respite careC) not keeping physically fit through exerciseD) the losses associated with advancing age Which describes this angle?an angle that measures greater than a right angle measuresan angle that measures the same as a straight line measuresan angle that measures the same as a square corner measuresan angle that measures less than a right angle measures What are points a and b? What does this diagram show? Whats point c? Which of these equations have no solution? Check all thal apply.2(x + 2) + 2 = 2(x + 3) + 12x + 3(x + 5) = 5(x - 3)46x + 3) = x + 124- (2x + 5) = 2 ( 4x - 2)5(x + 4) - x = 4(x + 5) - 1 how did Octavian gain power in Rome? Steam Workshop Downloader