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3 years ago

Convert 5 2/10 to decimal notation.

Mathematics

2 answers:

Ivan3 years ago

7 0

$5 \frac{2}{10} = \frac{52}{10} = 5.2$

IgorLugansk [536]3 years ago

5 0

5 and 2/10 converted into decimal notation would be, 5.2

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The function f(x)=startroot -x endroot is shown in the graph. Which statement is correct?

Nutka1998 [239]

Answer:

B. The domain of the graph is all real numbers less than or equal to 0

Step-by-step explanation:

First, let's find the domain.

(negative infinity, 0} or All real numbers less than or equal to 0

Second, range.

[0, positive infinity) or All real numbers greater than or equal to 0

Right off the bat we can eliminate A, C, and D. We are left with choice B. as the answer.

8 0

4 years ago

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A balloon is blowing up at a constant rate of 9 cubic centimeters per second. When the volume of the balloon is 2048/3 pi cubic

jekas [21]

Answer:

$\displaystyle \frac{dr}{dt}\approx 0,0112\ cm/sec$

Step-by-step explanation:

<u>Rates of Change as Derivatives</u>

If some variable V is a function of another variable r, we can compute the rate of change of one with respect to the other as the first derivative of V, or

$\displaystyle V'=\frac{dV}{dr}$

The volume of a sphere of radius r is

$\displaystyle V=\frac{4}{3}\pi r^3$

The volume of the balloon is growing at a rate of $9\ cm^3/sec$ . This can be written as

$\displaystyle \frac{dV}{dt}=9$

We need to compute the rate of change of the radius. Note that both the volume and the radius are functions of time, so we need to use the chain rule. Differentiating the volume with respect to t, we get

$\displaystyle \frac{dV}{dt}=\displaystyle \frac{dV}{dr}\displaystyle \frac{dr}{dt}$

$\displaystyle \frac{dV}{dt}=4\pi r^2 \frac{dr}{dt}$

solving for $\displaystyle \frac{dr}{dt}$

$\displaystyle \frac{dr}{dt}=\frac{\frac{dV}{dt}}{4\pi r^2}$

We need to find the value of r, which can be obtained by using the condition that in that exact time

$\displaystyle V=\frac{2048}{3}\pi\ cm^3$

$\displaystyle \frac{2048}{3}\pi=\frac{4}{3}\pi r^3$

Simplifying and isolating r

$\displaystyle r^3=512$

$\displaystyle r=\sqrt[3]{512}=8\ cm$

Replacing in the rate of change

$\displaystyle \frac{dr}{dt}=\frac{9}{4\pi 8^2}$

$\displaystyle \frac{dr}{dt}=\frac{9}{256\pi }$

$\displaystyle \frac{dr}{dt}\approx 0,0112\ cm/sec$

8 0

3 years ago

What is 4.4 multiplied by 2.727

Nesterboy [21]

The answer will be 11.9988.
Your Welcome :]

7 0

3 years ago

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8 1/3y + 4/5 + 9/10. What is y?

NISA [10]

let's first off, convert the mixed fraction to improper fraction, and then let's use the LCD of all denominators to do away with the denominators.

$\bf \stackrel{mixed}{8\frac{1}{3}}\implies \cfrac{8\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{25}{3}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{25}{3}y+\cfrac{4}{5}=\cfrac{9}{10}\implies \stackrel{\textit{multiplying both sides by }\stackrel{\textit{LCD}}{30}}{30\left( \cfrac{25}{3}y+\cfrac{4}{5} \right)=30\left( \cfrac{9}{10} \right)}\implies 10\cdot 25y+6\cdot 4=3\cdot 9 \\\\\\ 250y+24=27\implies 250y=3\implies y=\cfrac{3}{250}$

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4 years ago

The temperature was 75º. At noon, the temperature increased 7º. By evening, the temperature decreased by 7º. How did the tempera

Citrus2011 [14]

Answer:

The temperature increased then decreased so really it did not change

Step-by-step explanation:

But does it mean to say like first increased by 7 they went down -7 or something like that?

Hope what I said helped! (:

4 0

4 years ago

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