All categories

2 years ago

Which expression is equivalent to (5x^3)(2x)^3

Mathematics

2 answers:

Reika [66]2 years ago

6 0

Answer: C. 40x^6 on edge :)

Taya2010 [7]2 years ago

3 0

Hello:
(5x^3)(2x)^3 = (5x^3)(2)^3(x)^3 = <span>(5x^3)8x^3=40x^6 ... (answer C)</span>

You might be interested in

3^x= 3*2^x solve this equation

kompoz [17]

In the equation

$3^x = 3\cdot 2^x$

divide both sides by $2^x$ to get

$\dfrac{3^x}{2^x} = 3 \cdot \dfrac{2^x}{2^x} \\\\ \implies \left(\dfrac32\right)^x = 3$

Take the base-3/2 logarithm of both sides:

$\log_{3/2}\left(\dfrac32\right)^x = \log_{3/2}(3) \\\\ \implies x \log_{3/2}\left(\dfrac 32\right) = \log_{3/2}(3) \\\\ \implies \boxed{x = \log_{3/2}(3)}$

Alternatively, you can divide both sides by $3^x$ :

$\dfrac{3^x}{3^x} = \dfrac{3\cdot 2^x}{3^x} \\\\ \implies 1 = 3 \cdot\left(\dfrac23\right)^x \\\\ \implies \left(\dfrac23\right)^x = \dfrac13$

Then take the base-2/3 logarith of both sides to get

$\log_{2/3}\left(2/3\right)^x = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x \log_{2/3}\left(\dfrac23\right) = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x = \log_{2/3}\left(3^{-1}\right) \\\\ \implies \boxed{x = -\log_{2/3}(3)}$

(Both answers are equivalent)

8 0

2 years ago

vDetermine if a Poisson experiment is described, and select the best answer: Suppose we knew that the average number of typos in

goldenfox [79]

Answer:

probability that a randomly selected page that contains only text will contain no typos that is

P(x=0) = $e^{-0.08}$ = 0.923

Step-by-step explanation:

<u>Poisson distribution</u>:-

Explanation of the Poisson distribution :-

The Poisson distribution can be derived as a limiting case of the binomial

distribution under the conditions that

i) p is very small

ii) n is very large

ii) λ = np (say finite

The probability of 'r' successes = $\frac{e^{-\alpha }\alpha^r }{r!}$

Given the average number of typos ∝ = 0.08 per page.

probability that a randomly selected page that contains only text will contain no typos that is = $p(x=0) = \frac{e^{-0.08 }\(-0.08)^0 }{0!}$

After calculation P(x=0) = $e^{-0.08}$ = 0.923

probability that a randomly selected page that contains only text will contain no typos =0.923

5 0

2 years ago

Simplify this expression.

Grace [21]

11x2 would be your answer.

6 0

2 years ago

Read 2 more answers

What’s the vertex of this equation?

statuscvo [17]

f (x) = a(x - h)^2 + k, where (h, k) is the vertex of the parabola.

Do you see the h and k in your equation?

-h = -(-2) = 2

We see that k = -4.

Our vertex is (2, -4).

3 0

2 years ago

Is the relationship between weight and the amount of medicine linear? Explain. (2 points) help!!!!

Svetach [21]

Answer: Each age is 12 more than the last so the rate of change would be twelve. Yes it is linear, every twelve pounds is 2.5 more millimeters of dosage.

8 0

2 years ago

Read 2 more answers