All categories

3 years ago

Slove the equation V=(20-2x)(15-2x)(x) for V

Mathematics

1 answer:

Schach [20]3 years ago

6 0

Answer:

V = 300x + -70x2 + 4x3

Step-by-step explanation:

Simplifying

V = (20 + -2x)(15 + -2x)(x)

Reorder the terms for easier multiplication:

V = x(20 + -2x)(15 + -2x)

Multiply (20 + -2x) * (15 + -2x)

V = x(20(15 + -2x) + -2x * (15 + -2x))

V = x((15 * 20 + -2x * 20) + -2x * (15 + -2x))

V = x((300 + -40x) + -2x * (15 + -2x))

V = x(300 + -40x + (15 * -2x + -2x * -2x))

V = x(300 + -40x + (-30x + 4x2))

Combine like terms: -40x + -30x = -70x

V = x(300 + -70x + 4x2)

V = (300 * x + -70x * x + 4x2 * x)

V = (300x + -70x2 + 4x3)

Solving

V = 300x + -70x2 + 4x3

Solving for variable 'V'.

Move all terms containing V to the left, all other terms to the right.

Simplifying

V = 300x + -70x2 + 4x3

You might be interested in

A dressmaker needs to cut 18-inch pieces of ribbon from rolls of ribbon that are 6 feet in length. How many 18-inch pieces can t

TiliK225 [7]

Answer: 20 pieces, 72 inches of ribbon

Step-by-step explanation: 6/1.5=4 4x5=20 6x12= 72 inches

4 0

1 year ago

What’s the answer and how did you get it? i’m confused

Sidana [21]

Answer:

The answer is 3.

Step-by-step explanation:

Because you should put the gh with gh, 2 is equivalent to 2 (so the 2 disappeared) and you only have 8-7=1 plus 2=3.

7 0

3 years ago

Read 2 more answers

The number of hearing aids that needs to be produced and sold is??

juin [17]

Answer:

14.36 AND 9.89 ===> 14 or 10

Step-by-step explanation:

Y = Ax2 Bx C

Enter coefficients here >>> -4 97 -568

Standard Form: y = -4x²+97x-568

-24.25 -12.125 147.015625 -588.0625 20.0625

Grouped Form: No valid Grouping

Graphing Form: y = -4(x-12.13)²+20.06

Factored Form: PRIME

Solution/X-Intercepts: 14.36 AND 9.89

Discriminate =321 is positive, two real solutions

VERTEX: (12.13,20.06) Directrix: Y=20.13

7 0

3 years ago

A recent study of 26 city residents showed that the time they had lived at their present address has a mean of 10.3 years with t

svetlana [45]

Answer:

The 95% confidence interval is $9.15< \mu < 11.45$

Step-by-step explanation:

From the question we are told that

The sample size is n = 26

The mean is $\= x = 10.3$

The standard deviation is $s = 3$

From the question we are told the confidence level is 95% , hence the level of significance is

$\alpha = (100 - 95 ) \%$

=> $\alpha = 0.05$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }$

=> $E = 1.96 * \frac{3}{\sqrt{26} }$

=> $E = 1.1532$

Generally 95% confidence interval is mathematically represented as

$\= x -E < \mu < \=x +E$

=> $10.3 -1.1532 < \mu < 10.3 + 1.1532$

=> $9.15< \mu < 11.45$

7 0

3 years ago

How do you solve a/6=15/2?

spayn [35]

15/2 = 7.5
7.5 times 6 = 45
Check work: 45/6 = 7.5

8 0

3 years ago