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SCORPION-xisa [38]
3 years ago
10

Factor perfect square trinomials

Mathematics
1 answer:
asambeis [7]3 years ago
4 0
Divide 2y from all terms
2y(y^2+6y+9)
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the radius of a sheridan balloon is increasing at a rate of 3 centimeters per minute. how fast is the volume changing when the r
san4es73 [151]

The volume of the balloon is 2352\pi cc/min

Explanation:

The radius of the balloon is increasing at a rate of 3 cm/min.

To determine the volume of the balloon when the radius is 14 cm, we shall use the formula V=\frac{4}{3} \pi r^3

The rate of change of r with respect to time t is given by,

\frac{d}{d t}(r)=3 \mathrm{cm} / \mathrm{minute}

Now, we shall determine the \frac{d}{d t}(V)

\begin{aligned}\frac{d}{d t}(V) &=\frac{d}{d t}\left(\frac{4}{3} \pi r^{3}\right) \\&=\frac{4}{3} \pi\left(3 r^{2}\right)\frac{d}{d t}(r) \\&=4 \pi r^{2}\frac{d}{d t}(r)\end{aligned}

Now, we shall determine the \frac{d}{d t}(V) at r=14 \mathrm{cm} and substituting \frac{d}{d t}(r)=3 \mathrm{cm} / \mathrm{minute}, we get,

\begin{aligned}\left(\frac{d V}{d t}\right)_{r=14} &=4 \pi r^{2} \frac{d}{d t}(r)\\&=4 \pi(14)^{2} (3)\\&=4 \pi 196 (3)\\&=2352\end{aligned}

Thus, The volume of the balloon is 2352\pi cc/min

7 0
3 years ago
I need someone to help me please
zhuklara [117]
<span>the answer is =<span><span>‌<span>7/24</span></span><span>‌</span></span></span>
4 0
3 years ago
Read 2 more answers
What do you do with the exponents when dividing powers with the same base
DerKrebs [107]

Answer:

When dividing numbers with the same base, you subtract the exponents.

Step-by-step explanation:

For example, 8^5/8^3 = 8^2 or 64

4 0
3 years ago
Consider the hypothetical study described below. Based solely on the information​ given, do you have reason to question the resu
elena-14-01-66 [18.8K]

Answer:

(B) ​Yes, there is reason. The TV audience might not be representative of the population.

(E) ​Yes, there is reason.​ Call-in polls tend to be biased.

Step-by-step explanation:

According to the information given we might consider two answers.

The first answer is:

<em>(B) ​Yes, there is reason. The TV audience might not be representative of the population.</em>

Let's remember that for a sample to be representative of a population must be random and every person must have the same probability of being selected. Here, the question is targeted only to the TV show's audience, so the results can only be interpreted for this segment of the population.

<em>(E) ​Yes, there is reason.​ Call-in polls tend to be biased.</em>

The risk is that the people who call might be influenced by the show itself and would not give an unbiased answer. This creates a bias on the sample. Besides, as stated before, not all the elements of the population can be part of the sample.

5 0
3 years ago
If there is a 80% chance of rain and a 70% chance of wind and rain what is the probability that it is windy given that its rainy
dlinn [17]
10 % because 80 - 70 = 10

3 0
3 years ago
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