Factor 4x^3-400x thanks a lot

Factor 4x^3-400x Thanks A Lot

Answers

Answer 1

Answer:

4x(x-10)(x+10)

Step-by-step explanation:

4x^3-400x

Factor out 4x

4x(x^2-100)

We know that x^2-100 is the difference of squares

a^2 - b^2 = (a-b)(a+b)

4x(x^2-100)= 4x(x^2 -10^2)

4x(x-10)(x+10)


Related Questions

Joe deposits $3500 into a bank account that earns interest compounded continuously. If Joe's money
doubles in 9 years, what interest rate was used?

Answers

Answer: 8%.

Step-by-step explanation:

To find this answer, use the compounding interest rate formula, or an exponential function:

[tex]A = P(r)^t[/tex]

Where A is the amount of money after t years, using P (principal) dollars as the investment and r as the rate.

We are trying to solve for r, so substitute the correct values for the other three variables:

[tex]7000 = 3500(r)^9\\\\2 = r^9[/tex]

Solving for r, we find that r to the ninth power equals 2.

Simplifying this, r is equal to 2^(1/9), or 1.08~. The interest rate was 8 percent.

Final answer:

To find the interest rate, we can use the formula for compound interest compounded continuously and solve for the interest rate using logarithms. The interest rate used is approximately 7.76%.

Explanation:

To find the interest rate, we can use the formula for compound interest compounded continuously: A = P * e^(rt), where A is the final amount, P is the principal amount, e is Euler's number (approximately 2.71828), r is the interest rate, and t is the time in years. In this case, we have A = 2P, P = $3500, and t = 9 years. Plugging in these values, we get 2P = P * e^(9r), which simplifies to 2 = e^(9r). Taking the natural logarithm of both sides, we get ln(2) = 9r.

Now, we can solve for r by dividing both sides of the equation by 9: r = ln(2) / 9. Using a calculator, we find that r is approximately 0.0776. Therefore, the interest rate used is approximately 7.76%.

Learn more about Interest Rates here:

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Please help me with answer I need help now

Answers

Answer:

7 + 2, i cant see the full question so im not sure

Step-by-step explanation:

I NEED HELP PLZ!!!! It’s important!

Answers

Answer: 24x^3 sqrt5x -4x^3 sqrt10x

Step-by-step explanation:

Show in the photo attached.

Answer:

24x to the power of 3 square root 5x-4x to the power of 3 square root 10x.

I hope this helps you, I tried my best!!

Use a calculator to find the r-value of these data. Round the value to three
decimal places.

Answers

Answer:

The answer would be B- 0.953. I hope this helps you

Answer: b

Step-by-step explanation:

How would you explain surface area and volume to a 6th grader who is just now learning about these concepts?

Answers

Answer:

Surface area:

The area on the surface of a shape, so the area of the faces of the square or the area of the faces of the triangle.

(how to solve: find the area of all faces(b*h) and add them up)

Volume: the amount you can fill in that specific shape? Like, filling up a bathtub, how much water can it hold? That's volume.

(how to solve: its different for each shape, but squares are (B*W*H = Volume or V))

-A friendly 8th grader :)

A proportional relationship is represented by the equation 3x = 18y. If y = kx, where k is the
constant of proportionality, then what is the value of k?
NEED HELP ASAP!

Answers

Answer: 1/6

Step-by-step explanation:

3x = 18y

y = kx

where,

k = constant of proportionality

3x = 18y

Divide both side by 18

3x/18 = 18y/18

y = 1/6x

k = 1/6

Each of two urns contains green balls and red balls. Urn I contains 10 green balls and 14 red
balls. Urn II contains 4 green balls and 11 red balls. If a ball is drawn from each urn, what is
P(red and red)?

A.1/9
B.25/39
C.79/60
D.77/180

Answers

The probability of drawing a red ball from both urns is found by multiplying the probability of drawing a red ball from Urn I by the probability of drawing a red ball from Urn II. After simplification, the probability is [tex]\(\frac{77}{180}\)[/tex], which corresponds to answer choice D.

To calculate the probability of drawing a red ball from each of two urns, we must first determine the probability of drawing a red ball from Urn I, and then multiply that by the probability of drawing a red ball from Urn II. In Urn I, there are 14 red balls and a total of 24 balls (10 green + 14 red). So, the probability of drawing a red ball from Urn I is [tex]\(\frac{14}{24}\)[/tex].

In Urn II, there are 11 red balls and a total of 15 balls (4 green + 11 red). Hence, the probability of drawing a red ball from Urn II is [tex]\(\frac{11}{15}\)[/tex].

The joint probability of two independent events is the product of their individual probabilities, so to find the probability of drawing a red ball from both urns (P(red and red)), we multiply the two probabilities:

[tex]\(P(red \,\text{from Urn I}) \times P(red \,\text{from Urn II}) = \frac{14}{24} * \frac{11}{15}\)[/tex].

To simplify the calculation:

Simplify [tex]\(\frac{14}{24}\) to \(\frac{7}{12}\)[/tex].Multiply [tex]\(\frac{7}{12}\) by \(\frac{11}{15}\)[/tex].[tex]\(\frac{7}{12} \times \frac{11}{15} = \frac{77}{180}\)[/tex].

Therefore, the correct answer is D. 77/180.

Jared got 90% on his assignment. There were 30 questions how many did he get right

Answers

Answer:

27

Step-by-step explanation:

easy                   27 divided by 30

In order to find how many correct questions Jared answered, we'll need to find 90% of 30.

To find 90% of 30, we'll need to multiply.

90% x 30 = 27

Therefore, Jared answered 27 questions correctly.

Hope this helps! :)

A craftsman can sell 10 jewelry sets for $500 each. He knows
for each additional set he makes, the price of each set will decrease by $25. Hoy
many jewelry sets should he make if he wants to maximize his earnings?
jewelry sets

Answers

Answer:15

Step-by-step explanation:

Given

Craftsman sell 10 Jewelry set for $500 each

For each additional set he will decrease the price by $ 25

Suppose he sells n set over 10 set

Earning[tex]=\text{Price of each set}\times \text{no of set}[/tex]

Earning [tex]=(500-25n)(10+n)[/tex]

[tex]E=5000+500n-25n^2-250n[/tex]

differentiate to get the maximum value

[tex]\frac{dE}{dn}=-50n+250[/tex]

Equate [tex]\frac{dE}{dn}[/tex] to get maximum value

[tex]-50n+250=0[/tex]

[tex]n=\frac{250}{50}[/tex]

[tex]n=5[/tex]

Thus must sell 5 extra set to maximize its earnings.

factorise 4p + 6pq

step by step

answer fully please, thank you.​

Answers

Answer:

2p(2+3q)

Step-by-step explanation:

Find the Greatest Common Factor (GCF).

GCF = 2p2p

Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

2p(4p/2p + 6qp/2p)

simplify each term in parentheses.

2p(2+3q)

Your answer is 2p(2 + 3q).

First we can start by finding common factors in the coefficients, 4 and 6. 4 and 6 are both divisible by 2, so we can pull this out as our first factor:

2(2p + 3pq)

Now we can look for common factors regarding p and q. Both terms include p, but only one includes q, which means we can also pull the p out as another factor:

2p(2 + 3q)

The expression inside the parentheses cannot be factored anymore, so this is the final factorisation.

I hope this helps!

hiya! any help is appreciated!

Answers

I believe you go up one and to the right 2, although I’m not sure wha it’s asking

what type of triangle is abc

Answers

Every Triangle is an abc triangle

Answer:

Isosceles triangle.

Step-by-step explanation:

Solve for f(5).
f(x) = 2x - 4
f(5) = [?]

Answers

Answer & Explanation Included:

f(x)= 2x - 4

f(5)= 2(5) - 4

f(5)= 10 - 4

f(5)= 6

Answer: 16

Step-by-step explanation: f(x) = 2x - 4 means that if we put an x into our function, a 2x - 4 comes out.

So if we want to find f(5), we're putting a 5 into our function which means that a 2(5) - 4 comes out which simplifies to 10 - 4 or 6.

So f(5) = 6 or the value of the function at 5 equals 6.

can anyone hknow number 2?

Answers

Answer:

n = y/(r+s)

Step-by-step explanation:

(rn+sn) / y = 1

Multiply each side by y

(rn+sn) / y  *y= 1*y

rn+sn = y

Factor out n

n(r+s) = y

Divide each side by (r+s)

n(r+s) / (r+s) = y/(r+s)

n = y/(r+s)

You are given 6 color cards: 1 red, 2 blue, 3 green. As you draw a card, YOU WILL KEEP IT. What is the probability of drawing a green card, green card, and finaly a yellow card?

Answers

Answer:

3/6, 2/5, 0/5

Step-by-step explanation:

original price: $50
sale price: $40
percent discount:

Answers

Answer:

20 % of the original price

Step-by-step explanation:

1). 50 - 40 = 10 $

2). 10 / 50 = 20 %

Nancy exercises for 3/4 hours each day for 6 days in a row. Altogether, how many hours does she exercise during 6 days?

Answers

Answer:

4 1/2

Step-by-step explanation:

3/4 =0.75

0.75*6 =4.5

4.5=4 1/2

Answer:

4 1/2 Hours is the amount she worked out

Step-by-step explanation:

3/4 = 45 min

45 x 6 = 270 min

270 ÷ 60 = 4.5 Hours

4.5 Hrs + 4 Hours 30 Min = 4 1/2

Which expression has a term with a coefficient greater than 1?

A. M - 5 x3
B. 5/6m + 3
C. 5 + m
D. 5 + 3m

Answers

Answer:

D

Step-by-step explanation:

I'm sorry, but I don't know what option A is.

However, we are asked which expression has a coefficient greater than one. A coefficient is a number in front of a variable. D is the only one with a coefficient GREATER than 1, so that is the answer.

You can tell me if I did anything wrong! :)

A triangle has angles that measure 55°, 43°, and 82°. What kind of triangle is it?
A. obtuse
B. right
C. acute

Answers

Answer:

c. acute

Step-by-step explanation:

all angles are less than 90 degrees, so it is acute

Jose sells 12 cars 8 months if this trend continues how many cars can he expect to sell in 29 months

Answers

Answer:

He can expect to sell 43 more cars.

Step-by-step explanation:

So far he has 1.5 cars per month 12/8=1.5

If he continues this for 29 months 29x1.5=43.5

He will sell 43 cars

Hope this helps :)

Determine which equation is belongs to the graph of the limacon curve below.
[-5,5] by [-5,5]

Answers

We have been given graph of a limacon curve. We are asked to choose the equation that represents the given Limacon.

We can see that our given equation represents a cardiod. The equation of a vertical cardiod is in form [tex]r=a\pm a\cdot \text{sin}(\theta)[/tex] and equation of a horizontal cardiod is [tex]r=a\pm a\cdot \text{cos}(\theta)[/tex].

We can see that our given graph is a vertical cardiod, so its equation will be in form [tex]r=a\pm a\cdot \text{sin}(\theta)[/tex] .

The positive sign gives an upside-down cardiod and negative sign orients the cardiod upright.

Since our given graph is upright, so we will have a negative sign between 'a'.

Therefore, the equation [tex]r=2-2\cdot \text{sin}(\theta)[/tex] represents the given graph and option 'd' is the correct choice.

Answer:

C on edge 2022

Step-by-step explanation:

Choose three types of taxes local governments may impose.
sales tax
personal property
real property
estate tax

Answers

choose A, B and C

Three types of taxes local governments may impose are Sales Tax , Personal Property  and Real Property. Correct answer: A, B and C.

 A sales tax is a consumption tax imposed by the government on the sale of goods and services. Personal property tax is levied annually against tangible personal property and due upon receipt of the tax bill.

Answer:

property tax

Step-by-step explanation:

:3

Helpppppppppppppppp !!!!!!!!!!!!!!!

Answers

Answer:

Should be $160

Step-by-step explanation:

the answer should be 160$

The statue of Liberty stands on a 150 ft. pedestal. From a point 250 ft. from the base of the



pedestal, the angle of elevation to the top of Liberty's torch is 50°. Find the height of the Statue



of Liberty




how do i do it?

Answers

Answer:

148ft

Step-by-step explanation:

To solve this question, you'll have to imagine the statue makes a right angle triangle with the base since it has an angle of elevation from the base to the top of the torch.

Assuming the height from the pedestal to the top of the torch is y

The height of the statue is x

But we know the height of the pedestal = 150ft

The distance from the observer to the base of the pedestal = 250ft

And the angle of elevation = 50°

See attached document for better illustration.

Tanθ = opposite / adjacent

θ = 50°

Adjacent = 250

Opposite = y

Tan50 = t / 250

y = 50 × tan50

y = 50 × tan50

y = 50 × 1.1917

y = 297.925ft

The height of the statue from the base of the pedestal to the top of the torch is 297.925ft

The height of the statue = x

x = (height of the statue + height of the pedestal) - height of the pedestal

x = y - 150

x = 297.925 - 150

x = 147.925ft

Approximately 148ft

The height of the statue is 148ft

How many solutions does this linear system have?



y = y equals StartFraction 2 over 3 EndFraction x plus 2.x+ 2



6x – 4y = –10



one solution: (–0.6, –1.6)


one solution: (–0.6, 1.6)


no solution


infinite number of solutions

Answers

Answer:

one solution: (–0.6, 1.6)

Step-by-step explanation:

Given the system of equation,

y = [tex]\frac{2x}{3}+2[/tex]...(1)

6x – 4y = –10 ...(2)

Substituting equation 1 into 2 we have;

6x - 4(2x/3 +2)= -10

6x -8x/3 -8 = -10

Multiplying through by 3;

18x-8x-24=-30

10x=-30+24

10x = -6

Dividing both sides by 10

10x/10 = -6/10

x = -0.6

Substituting x = -0.6 into equation 1 to get the value of y we have;

y = 2(-0.6)/3 + 2

y = -1.2/3 + 2

y = -0.4+2

y = 1.6

This shows that the linear equation has only one solution. The solution is

x = -0.6 and y = 1.6

Answer:

its b

Step-by-step explanation:

hope this helped

In which number is the dign1 one thourad times togethan
is in the number 1 VLT?
A)
75
192
9
4790
D)
7332

Answers

Answer:

1 kvolt = 1 volt =1kv = 1000v

so 1000x 1 volt = 1000kv

The numebr would be the 4th number from end.

Step-by-step explanation:

Which set of drivers are progressing at the same pace

Answers

I dont know anything about these set of drivers

Ursula's grandfather gave her $20 to spend on new songs and games for her phone. Ursula has already spent $4.50 on new songs. If each game costs $1.75, how many games can Ursula buy without spending more than her grandfather gave her? Use the following inequality to solve the problem.

20≥4.50+1.75x
A
8

B
9

C
13

D
14

Answers

Answer:

A

Step-by-step explanation:

Take 20 and subtract 4.50. That leaves you with 15.5.

15.5 divided by 1.75 equals 8.

Hopes this helps! :)

Mr. Falcone’s pizza shop offers three sizes of pizza. The large pizza has a diameter 12 inches. What is the area of the large pizza in terms of pi ?

Answers

Answer:

37.68

Step-by-step explanation:

12 times 3.14

hope this helps

Answer:

113.04

Step-by-step explanation:

The diameter is 12 which means the radius is 6

The formula to find the area of a circle is A=π r²

r²=36

π=3.14

3.14×36=113.04

So your answer is 113.04

Wich fraction is the largest? 8/6 8/4 9/6 5/7 6/9

Answers

Answer:

8/4

Step-by-step explanation:

8/4 is equal to 2 and the others equal less than 1 1/2 and 2

Answer:

8/4

Step-by-step explanation:

8/4 is 2

8/6 is 1.333

9/6 is 1.5

5/7 is .7142

6/9 is .666

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