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3 years ago

Find the surface area of this cube

Mathematics

2 answers:

alukav5142 [94]3 years ago

7 0

Okay so I will not be doing an explanation cause I do them to long so I will just give you the answer 512^2 in.Hope this helps :)

Mkey [24]3 years ago

3 0

Answer:

512 in^3

Step-by-step explanation:

It would be length x height x width = AREA

8 x 8 x 8= 512 and since its 3d it will be 512^3

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2x + 3/ x - 4 - 2x - 8/ 2× + 1 = 1

Debora [2.8K]

$\dfrac{2x+3}{x-4}-\dfrac{2x-8}{2x+1}=1\ \ \ |the\ domain\ D:x\neq4\ and\ x\neq-\dfrac{1}{2}\\\\\dfrac{(2x+3)(2x+1)}{(x-4)(2x+1)}-\dfrac{(2x-8)(x-4)}{(2x+1)(x-4)}-1=0\\\\\dfrac{4x^2+2x+6x+3}{2x^2+x-8x-4}-\dfrac{2x^2-8x-8x+32}{2x^2+x-8x-4}-\dfrac{2x^2+x-8x-4}{2x^2+x-8x-4}=0\\\\\dfrac{4x^2+8x+3}{2x^2-7x-4}-\dfrac{2x^2-16x+32}{2x^2-7x-4}-\dfrac{2x^2-7x-4}{2x^2-7x-4}=0\\\\\dfrac{4x^2+8x+3-2x^2+16x-32-2x^2+7x+4}{2x^2-7x-4}=0\\\\\dfrac{31x-25}{2x^2-7x-4}=0\iff31x-25=0\\\\31x=25\\\\\boxed{x=\frac{25}{31}}$

6 0

3 years ago

20 Points:

belka [17]

Answer:

D. 105 students and 150 guests

Step-by-step explanation:

105 students and $1 for each ticket is $105.(105 x 1 = 105)

150 guests and $5 for each ticket is $750.(150 x 5 =750)

$105 + $750 = $855

6 0

3 years ago

Read 2 more answers

Katie played 5 consecutive games of soccer without being taken off the field. Then, after a single game on the sidelines, she pl

Bingel [31]

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3 years ago

Waiting on the platform, a commuter hears an announcement that the train is running five minutes late. He assumes the arrival ti

natima [27]

Answer:

D. 91%

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Less than 15 minutes.

Event B: Less than 10 minutes.

We are given the following probability distribution:

$f(T = t) = \frac{3}{5}(\frac{5}{t})^4, t \geq 5$

Simplifying:

$f(T = t) = \frac{3*5^4}{5t^4} = \frac{375}{t^4}$

Probability of arriving in less than 15 minutes:

Integral of the distribution from 5 to 15. So

$P(A) = \int_{5}^{15} = \frac{375}{t^4}$

Integral of $\frac{1}{t^4} = t^{-4}$ is $\frac{t^{-3}}{-3} = -\frac{1}{3t^3}$

Then

$\int \frac{375}{t^4} dt = -\frac{125}{t^3}$

Applying the limits, by the Fundamental Theorem of Calculus:

At $t = 15$ , $f(15) = -\frac{125}{15^3} = -\frac{1}{27}$

At $t = 5$ , $f(5) = -\frac{125}{5^3} = -1$

Then

$P(A) = -\frac{1}{27} + 1 = -\frac{1}{27} + \frac{27}{27} = \frac{26}{27}$

Probability of arriving in less than 15 minutes and less than 10 minutes.

The intersection of these events is less than 10 minutes, so:

$P(B) = \int_{5}^{10} = \frac{375}{t^4}$

We already have the integral, so just apply the limits:

At $t = 10$ , $f(10) = -\frac{125}{10^3} = -\frac{1}{8}$

At $t = 5$ , $f(5) = -\frac{125}{5^3} = -1$

Then

$P(A \cap B) = -\frac{1}{8} + 1 = -\frac{1}{8} + \frac{8}{8} = \frac{7}{8}$

If given the train arrived in less than 15 minutes, what is the probability it arrived in less than 10 minutes?

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{\frac{7}{8}}{\frac{26}{27}} = 0.9087$

Thus 90.87%, approximately 91%, and the correct answer is given by option D.

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3 years ago

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Levart [38]

Answer:The allies were already...

Step-by-step explanation:

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3 years ago

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