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3 years ago

The volume of a cube 512 cubic inches. What is the length of the cube?

Mathematics

1 answer:

aleksandr82 [10.1K]3 years ago

8 0

Answer:

I believe it is 8in

Step-by-step explanation:

someone correct me if I'm wrong

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Jim earned $700 this week. This was $20 less than four times the amount he earned last week. Which equation, when solved for x,

joja [24]

Answer: Your answer is d because if you solve for x you will get 180 and if you plug 180 into the equation it equals 700.

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3 years ago

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X + -4 =11 marking brainliest show work too please

MArishka [77]

move the -4 to the other side

X = 11 + 4

X = 15

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A one-parameter family of solutions of the DE P' = P( 1 - P) is given below. P = c1et/1 + c1et Does any solution curve pass thro

topjm [15]

Answer:

a. The curve $P(t) = -\frac{6e^t}{5-6e^t}$ passes through the point (0, 6)

b. No solution of the curve $P(t)$ passes through the point (0, 1)

Step-by-step explanation:

Consider the family of the solution of DE $P' = P(1 - P)$ is $P = \frac{c_1e^t}{1 + c_1e^t}$

a. If any solution passes through the point (0, 6), then there is $c_1$ such that the point (0, 6) satisfies the solution $P = \frac{c_1e^t}{1 + c_1e^t}$

Substitute $t = 0, P = 6$ in $P = \frac{c_1e^t}{1 + c_1e^t}$ and then solve the equation to obtain $c_1$

$P(t) = \frac{c_1e^t}{1 + c_1e^t}\\P(0) = \frac{c_1e^0}{1+c_1e^0}\\ 6 = \frac{c_1}{1 + c_1}\\ c_1 = -\frac{6}{5}$

Therefore, the curve $P(t) = -\frac{6e^t}{5 - 6e^t}$ passes through the point (0, 6)

b. If any solution passes through the point(0, 1), then there is $c_1$ such that the point (0, 1) satisfies the solution $P = \frac{c_1e^t}{1+c_1e^t}$

$P(t) = \frac{c_1e^t}{1 + c_1e^t}\\ P(0) = \frac{c_1e^0}{1 + c_1e^0}\\ 1 = \frac{c_1}{1+c_1} \\1 + c_1 = c_1$

this is not possible

Hence, there is no curve $P(t)$ that exists which passes through the point (0, 1)

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3 years ago

A system of equations can never have

miskamm [114]

More variables than equations

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2 years ago

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Find the x-intercepts for the parabola defined

sesenic [268]

Answer:

(- 3, 0 ) and (1, 0 )

Step-by-step explanation:

Given

y =2x² + 4x - 6

To find the x- intercepts let y = 0, that is

2x² + 4x - 6 = 0 ← divide all terms by 2

x² + 2x - 3 = 0 ← in standard form

(x + 3)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x - 1 = 0 ⇒ x = 1

The x- intercepts are (- 3, 0 ) and (1, 0 )

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3 years ago