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3 years ago

A cube has sides of length 2 meters. Explain what happens to the volume of the cube if the length of the sides is doubled.

2 answers:

5 0

Volume of a cube with side lengths of 2, 2, and 2.
2³=8 m³

Volume of a cube with 4,4, and 4
4³=64 m³

Conclusion: The volume would be squared, or square rooted, depending on which way you are going.

Fudgin [204]3 years ago

5 0

If the length of the sides are doubled, the volume of the cube is 8 times the original.

Explanation:
The formula for volume of a rectangular prism is v = lxwxh (l is length, w is width and h is height.) So first we find the volume of the cube, 2x2x2 = 8. Now, we double the sides, so they become 4 meters. Then we find volume of the new cube, 4x4x4 = 64. To find the relationship between the volume of the new cube and the volume of the original cube, we divide 64 by 8, which gives us 8. Therefore, the volume of the new cube is 8 times the volume of the original cube

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Consider the following data: x −4−4 −3−3 −2−2 −1−1 00 P(X=x)P(X=x) 0.20.2 0.30.3 0.10.1 0.20.2 0.20.2 Copy Data Step 4 of 5 : Fi

AysviL [449]

Answer:

$P(x\geq -1) = 0.4$

Step-by-step explanation:

We are given the following in the question:

x: −4 −3 −2 −1 0

P(X=x): 0.2 0.3 0.1 0.2 0.2

We have to evaluate

$P(x\geq -1)$

Since it is a discrete probability distribution as

$\displaystyle\sum P(X=x_i) = 0.2 + 0.3 + 0.1 + 0.2 + 0.2 = 1$

We can evaluate the probability as:

$P(x\geq -1) = P(x = -1 + P(x = 0)\\P(x\geq -1) = 0.2 + 0.2\\P(x\geq -1) = 0.4$

Thus, 0.4 is the require probability.

4 0

3 years ago

ANSWER ASAP THANKS ...............

mylen [45]

Answer:

250

Step-by-step explanation:

5*5=25

25*10=250

+$++$$+$

6 0

3 years ago

Adding negative numbers 5+ (-4) =

anygoal [31]

Answer:

Step-by-step explanation:

Follow the signs rule:

IF:

There is a + sign, and the number directly next is +, add

There is a + sign, and the number directly next is -, subtract

There is a - sign, and the number directly next is +, subtract

There is a - sign, and the number directly next is -, add

In this case, there is a plus sign, and a negative sign, therefore, subtract:

5 + (-4) = 5 - 4 = 1

1 is your answer.

5 0

3 years ago

the manager of a symphony computes that the symphony will earn -40p^2+1100p dollars per concert if they charge P dollars for tic

cluponka [151]

Answer:

$7,562.5

Step-by-step explanation:

Given the function of the profit earned expressed as;

f(p) =-40p^2+1100p

To maximize the profit, df(p)/dp must be sero

df(p)/dp = -80p + 1100 = 0

-80p + 1100 = 0

-80p = - 1100

p = 1100/80

p = 13.75

Substitute p = 13.75 into the function

f(13.75) =-40(13.75)^2+1100(13.75)

f(13.75) = -7,562.5+15,125

f(13.75) = 7,562.5

Hence the symphony should charge $7,562.5 to maximize the profit.

5 0

3 years ago

Diana invested $3000 in a savings account for 3 years. She earned $450 in interest over that time period. What interest rate did

In-s [12.5K]

$\bf \qquad \textit{Simple Interest Earned}\\\\
I = Prt\qquad 
\begin{cases}
I=\textit{interest earned}\to &\$450\\
P=\textit{original amount deposited}\to& \$3000\\
r=rate\to r\%\to \frac{r}{100}\\
t=years\to &3
\end{cases}
\\\\\\
450=3000\cdot r\cdot 3\implies \cfrac{450}{3\cdot 3000}=r\implies \cfrac{1}{20}=r
\\\\\\
r\%\implies \cfrac{1}{20}\cdot 100\implies r=\stackrel{\%}{5}$

5 0

3 years ago

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