X^3 = 1,000
algebratic equations

Answers

Answer 1

Answer:

10

Step-by-step explanation:

x³=1000

x=3√1000

x=10

Answer 2

Answer:

x = 10   or   x = -5 + 5*i*sqrt(3)   or   x = -5 - 5*i*sqrt(3)

Step-by-step explanation:

x^3 = 1000

x^3 - 1000 = 0

(x - 10)(x^2 + 10x + 100) = 0

x = 10 or x^2 + 10x + 100 = 0

x = 10 or x^2 + 10x + 25 = -100 + 25

x = 10 or (x + 5)^2 = -75

x = 10 or x + 5 = sqrt(-75) or x + 5 = -sqrt(75)

x = 10   or   x = -5 + 5*i*sqrt(3)   or   x = -5 - 5*i*sqrt(3)


Related Questions

HELP! WILL MARK BRAINLIEST

Answers

Answer:

it is b

Step-by-step explanation:

cassandra has a loan of 35,720.This loan has a simple intrest rate of 4% per year.What is the amount of intrest will pay on this loan at the end of 2 year? PLEASE DONT JOKE AROUND THIS IS MY TEST.

A. 2,857.60

B. 38,577.60

C. 1,428.80

D. 5,715.20

Answers

Answer:

$2857.60 because when yu multiply the loan times the % yu get 1428.80 because it’s the end of 1 year and the question is asking for the end of 2 years so yu have to double it.

Step-by-step explanation:

Write and solve an equation for each problem situation. Define the variable

A) Scott spent half of his weekly allowance on music.
To help him earn more money, his parents let him wash the car for $6.53. What is his weekly allowance if he ended with $12.03

Answers

Answer:

His weekly allowance is $5.50.

Step-by-step explanation:

12.03 - 6.53 = $5.50

I'm not 100% sure this is accurate. Good Luck!

can i plz get some help

Answers

Answer:

36

Step-by-step explanation:

Help will give crown

Answers

Answer:

8

Step-by-step explanation:

from A to B it's 8 units long

solve the following system of equations y=2x+10. y=3x+12

Answers

Answer:

1. Slope: 2     y-intercept: (0,−10)

2. Slope: 3  y-intercept: (0,12)

Step-by-step explanation:

A rectangular poster is to contain 578 square inches of print. The margins at the top and bottom of the poster are to be 2 inches, and the margins on the left and right are to be 1 inch. What should the dimensions of the poster be so that the least amount of poster is used?

Answers

Answer:

19 by 38

Step-by-step explanation:

The area of the poster, A=xy

Margin at both up and bottom is 2inches, at the right and left is 1 inch

Then we can say

(x-4)(y-2)= 578

Let us make y subject of the formula

(y-2)= 578/(x-4)

y=[ 578/(x-4)] + 2

If we substitute into the area A equation we have

A= x { [ 578/(x-4)] + 2}

A= 2x + (578x)/(x - 4)

If we differentiate we have

A'(x)= [2+578(x-4)+578x ]/ (x-4)^2

=[ 2(x-4)^2 + 578(x -4) + 578x ] / (x-4)^2

=[ 2(x^2 - 8x +16) + 578(x-4) + 578x ] /(x-4)^2

If we simplify this we have

=[ 2x^2 -16x +32+578x -578x - 2312]/ (x-4)^2

=( 2x^2 -16x - 2312) / (x-4)^2

At A'(x)= 0

= ( x^2 - 8x - 2312) / (x-4)^ =0

If we divide through by 2 we have

x^2 - 8x - 1156= 0

Solving the quadratic eqn( CHECK THE ATTACHMENT)

X= 38 or -30 then we choose the positive one, then x= 38

Then from area of the poster

A= (x-4)(y-2)= 578

Substitute 38 as value of x

(38-4)(y-2)= 578

34(y-2)=578

34y-68=578

34y=646

y=19

Hence dimensions of the poster is 19 by 38

CHECK THE ATTACHMENT FOR QUADRATIC SOLUTION

c + 1/4c
please help me i need this done now

Answers

Answer:

[tex]1\frac{1}{4} c[/tex]

Step-by-step explanation:

[tex]c+\frac{1}{4}c[/tex]

Rewrite the expression

[tex]= 1c+\frac{1}{4} c[/tex]

Add

[tex]= 1\frac{1}{4} c[/tex]

Therefore, [tex]c+\frac{1}{4}c[/tex] is equal to [tex]1\frac{1}{4} c[/tex].

I hope this helps!

Evaluate the expression 7[tex]x^{2}[/tex]y, when x = 5 and y = 3. (3 points)

Group of answer choices

210

728

525

315

Answers

525.
7(5^2)(3) = 7(25)(3)
Pemdas
5 squared
Multiply 7(25) first to get 175 then times that by 3, it equals 525.

A person who weighs 160 pounds on Earth will weigh around 400 pounds on Jupiter. How much will a person weigh on Jupiter who weighs 120 pounds on Earth?​

Answers

Answer:

280

Step-by-step explanation:

subtract

Answer:300

Step-by-step explanation:

) A gas station owner finds that for every penny increase in the price of gasoline, she sells 1516 fewer gallons of gas per week. How much more or less gas will she sell if she raises the price by 10 cents per gallon? If she decreases the price by 2 cents per gallon?

Answers

Answer:

a) 15160 gallons

b) 3032 gallons

Step-by-step explanation:

Given that for every penny increase in the price of gasoline there is a decrease of 1516 gallons sold per week

a) when she raises the price by 10 cents per gallon

There will be a decrease of ( 1516 * 10 ) gallons sold per week i.e. = 15160 gallons

b) when she decrease the price by 2 cents per gallon

There will be an increase ( 2 * 1516 ) gallons sold per week  i.e. = 3032 gallons

A chess club with 25 members is electing a new president. Abdul received 23 votes. What percentage of the club members voted for Abdul?

Answers

Answer

92%

Explanation

23 out of 25 people voted Abdul.

So that means [tex]\frac{23}{25}[/tex] people voted Abdul.

When you divide 23 by 25 you get 0.92 which is 92% (multiply by 100).

You divide because a fraction means the numerator divided by the denominator.

Multi-Step Equations Escape Room
record the triangle from left to right (level 2)

Answers

Answer:

Not enough data

Step-by-step explanation:

Choose the number that is 5 more than a square number.
21
34
35
65
76

Answers

5 more than a square number would be 21 which is 5 more than 16 (the square of 4)

Answer:

21

Step-by-step explanation:

this requires practical assumption.

take 9 for example

5 more than 9 means 9 - 5 = 4

4 is a square number

21 = 21 - 5 = 16

16 is a square number

34 = 34 - 5 = 29

29 is not a square number

35 = 35 - 5 = 30

30 is not a square number

65 = 65 - 5 = 60

60 is not a square number

76 = 76 - 5 = 71

71 is not a square number

Mrs. Nelson deposits $2,500 in an account that earns 5% simple interest. How much is Mrs. Nelson's investment worth after 20 years ?
A:2500
B:5000
C:4500

Answers

The answer is B because 5% of 2500 is 125 so each year 125$ gets added to her account so you multiply 125 by 20 and you get 2500. Finally you add 2500 + 2500 which gives you 5000

Hi! Can someone please answer this and show work, please? Thanks!
-4(3v-4)=52

Answers

The answer is V= -3
Isolate the variable by dividing each side factors that doesn’t contain the variable .

What is the simplest form of expression

Answers

Answer: 6^30 (the last option)

Explanation:

In the numerator it is a power raised to a power so you multiply. It gives you 6^36.

Now you have:

6^36 / 6^6

Now you subtract the powers when you are dividing because that is the exponent rule

36 - 6 = 30

Final Answer: 6^30

Which of these is the algebraic expression for "4 times the sum of 2 and y?"
4. 2 + y
4(2 + y)
2 +4.7
2(4 + y)

Answers

The answer is 4(2+y)

Find the distance between the two points in simplest radical form.
(-3,-2) and (-8,4)
Answer:
Submit Answer

attempt 1 out of 2

Answers

Answer:

y=−2/5x+4/5y

Step-by-step explanation:

Hope's this helps

I NEEP HELP ASAP PLEASE AND THANK YOU

Answers

Answer:

The first answer, 3 times the square root of x squared is correct.

Determine whether each equation is True or False. In case you find a "False" equation, explain why is False.​

Answers

Answer:

(1) TRUE.

(2) FALSE.

(3) FALSE.

(4) TRUE.

(5) FALSE.

Step-by-step explanation:

(1) [tex]\sqrt{32} = 2^{\frac{5}{2} }[/tex]

[tex]2^{\frac{5}{2} } = (\sqrt{2} )^5 = (\sqrt{2} \ \times \ \sqrt{2} \ \times \ \sqrt{2} \ \times \ \sqrt{2} \ \times \ \sqrt{2}) = 4\sqrt{2}\\\\\sqrt{32} = \sqrt{16 \ \times \ 2}\ = \ \sqrt{16} \ \times \ \sqrt{2} \ = \ 4\sqrt{2}[/tex]

Thus, the equation is TRUE.

(2) [tex]16^{\frac{3}{8} } = 8^2[/tex]

[tex]16^{\frac{3}{8} } =(2^4)^{\frac{3}{8} } = 2^\frac{3}{2} }= (\sqrt{2} )^3 = (\sqrt{2} \ \times \ \sqrt{2} \ \times \ \sqrt{2}) = 2\sqrt{2} \\\\8^2 = 64[/tex]

Thus, the equation is FALSE.

(3) [tex]4^{\frac{1}{2} } = \sqrt[4]{64}[/tex]

[tex]4^{\frac{1}{2} }= \sqrt{4} = 2\\\\\sqrt[4]{64} = (64)^{\frac{1}{4} } = (2^6)^{\frac{1}{4} }= 2^{\frac{6}{4} } = 2^{\frac{3}{2} }=(\sqrt{2} )^3 = (\sqrt{2} \times \sqrt{2} \times \sqrt{2} ) = 2\sqrt{2}[/tex]

Thus, the equation is FALSE.

(4) [tex]2^8 = (\sqrt[3]{16} )^6[/tex]

[tex]2^8 = 256\\\\ (\sqrt[3]{16} )^6 = (16)^{\frac{6}{3} } = (2^4)^{\frac{6}{3} } = (2)^{\frac{24}{3} } = 2^8 = 256[/tex]

Thus, the equation is TRUE.

(5) [tex](\sqrt{64} )^{\frac{1}{3} } = 8^{\frac{1}{6} }\\\\[/tex]

[tex]8^{\frac{1}{6} } = (2^3)^{\frac{1}{6} } = 2^{\frac{3}{6} } = 2^{\frac{1}{2} } = \sqrt{2} \\\\(\sqrt{64} )^{\frac{1}{3} } = (2^6)^{\frac{1}{3} } = 2^{\frac{6}{3} } = 2^2 = 4[/tex]

Thus, the equation is FALSE.

what is 5/8 divided by 4

Answers

Answer:

0.156

Step-by-step explanation:

Answer:

5/32

Step-by-step explanation:

[tex] \frac{5}{8} \div 4 \\ \\ = \frac{5}{8} \times \frac{1}{4} \\ \\ = \frac{5 \times 1}{8 \times 4} \\ \\ = \frac{5}{32} [/tex]

if I have 130 of something and I need 200 how many more do I need

Answers

Answer:

70

Step-by-step explanation:

200 - 130

Brent and Lance leave a park on bicycles traveling at constant rates in opposite directions. After 2.5 hours, they are 85 miles apart. If Lance bikes 2 mph faster then Brent, how fast is Lance biking?

Answers

Answer:

18 mph so B is correct 16+2= 18

Answer:

B

Step-by-step explanation:

( FOOLISH ANSWERS WILL BE REPORTED) help i will give brainliest 6th grade mαth

Answers

Answer:

33.8

Step-by-step explanation:

33.8 is the closest to half of 65.

9514 1404 393

Answer:

  125

Step-by-step explanation:

The proportion you want is ...

  [tex]\dfrac{\text{part}}{\text{whole}}=\dfrac{65}{\text{?}}=\dfrac{52}{100}\\\\6500=52\cdot\text{?}\qquad\text{cross multiply}\\\\\dfrac{6500}{52}=125=\text{?}\qquad\text{divide by 52}[/tex]

52% of 125 is 65.

__

Comment on the formulation

You can write the same proportion 4 ways. I find it convenient to choose one that has the unknown in the numerator. Here, that means you would write it ...

  whole/part = 100/52 = ?/65

Then the solution is one step: multiply by 65.

help me with this now please

Answers

Step-by-step explanation:

davis is right.

what is 7 + 7 +7+7+7+7 x 0

XD

Answers

Answer:

35

~

Just simplify the expression and you'll get:  

35

~

You might be wondering why isn't the answer 0, since anything multiplied by 0 is 0.

~

It's because to answer this question, you will need to use PEMDAS.

P, Parenthesis.

E, Exponents.

M, Multiply.

D, Divide.

A, Addition.

S, Subtraction.

~

Since we don't have parenthesis, exponents, a division sign, or subtraction sign.

All we need to do is Mutiply, and Add.

~

First we multiply, because of the PEMDAS order.

7 * 0 = 0

~

Then, since we used one of the 7's to multiply. (The one next to the 0)

We add the rest of them, not including the last seven.

There are six, sevens.

But we already used one.

So we will add only the other five.

7 + 7 + 7 + 7 + 7 = 35.

7 * 5 = 35

~

And that's it.

You got your answer, 35.

A price of a toy usually costing £50 is increased to £65
work out the percentage increase

Answers

Answer:

15/50×100=30%

Step-by-step explanation:

I NEED HELP! what shape is symmetry ?

Answers

Answer:

E, the heart

Step-by-step explanation:

Answer:

The heart

Step-by-step explanation:

It is able to flip and still look the same

what’s the hypotenuse of c ?

Answers

Answer:

it would be A 160

Step-by-step explanation:

4 square plus + 12 square = 16+144=160

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