The volume of the cube is 512in3 what is the side length

Answers

Answer 1

Answer: To find this, you would know that a cube has all equal sides.
So you can do the cubic root of 512 or 3 $√(x)$ 512
The cubic root of 512 is 8.
The side length is eight

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Factor 35v–7w +42x. Write your answer as a product with a whole number greater than 1.

Answers

Answer: 7(5v-w+6x)

Step-by-step explanation:

GCD/HCF = 7

Quadratic formula 9x²-6x-11=0

Answers

$9x ^(2)-6x-11=0 \n \n a=9 , \ b=-6, \ c = -11 \n \n \Delta = b^(2)-4ac = (-6)^(2)-4*9* (-11)= 36+396 = 432\n \n√(\Delta )=√(432)= √(144*3)=12√(3)\n \nx_(1)=(-b-√(\Delta ))/(2a) =(6-12√(3))/(2*9)=( 6(2-2√(3)))/(18)= ( 2-2√(3) )/(3) \n \nx_(2)=(-b+√(\Delta ))/(2a) =(6+12√(3))/(2*9)=( 6(2+2√(3)))/(18)= ( 2+2√(3) )/(3)$

Algebra 2
Twice a number decreased by the cube of the same number

Answers

2(n)-n^2

Reorder in standard form: ax^2 + bx + c

-n^2 + 2n + 0

Answer:

2x-x^3

Step-by-step explanation:

It is x^3 because the question is asking for cube so don't use a root.

Find the product mentally. (ab + 3)2

Answers

(ab+3)(2) =(ab+3)(2) =(ab)(2)+(3)(2) =2ab+6

Answer:

a^2b^2 + 6ab + 9

Simplify the following expression: 6(5 - 3x) - 5(3x + 2) �� 20 - 33x �� 40 + 33x
�� 20 + 33x �� 40 - 33x

Answers

Answer:20-33x

Step-by-step explanation:

Given the values in the probability distribution table, determine the standard deviation. A. 3.2
B. 13.9
C. 3.9
D. 2.0

Answers

Answer:

D. 2.0 is the right answer

Step-by-step explanation:

Note: All decimals were converted to fractions.

The standard deviation of the given distribution is:

σ=1.965

Answer:

1.96

Step-by-step explanation:

Solution:-

- We will use the table given to determine the standard deviation of random variable x. From descriptive statistics we have the following formula for standard deviation (s.d) :

s.d (x) = sqrt ( Var(x) )

- The formula for Variance ( Var (x) ) is also taken from descriptive statistics as follows:

$Var(X) = E ( X^2) + [ E(X) ] ^2$

- Where,

$E ( X^2) = 0^2*0.15 + 1^2*0.07 + 2^2*0.19 + 3^2*0.09 + 4^2*0.16 + 5^2*0.23 +6^2*0.11 \n\nE ( X^2) = 13.91 \n\n$

$E(X) = 0*0.15\:+\:1*0.07\:+\:2*0.19\:+\:3\cdot \:0.09\:+\:4\cdot \:0.16\:+\:5\cdot \:0.23\:+6\cdot \:0.11\n\nE(X) = 3.17\n\n(E(X))^2 = 10.0489$

- So the variance is:

Var ( X ) = 13.91 - 10.0489 = 3.8611

s.d (x) = √3.8611 = 1.96

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