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otez555 [7]
3 years ago
15

Which symbol will make |-8|?|-10|

Mathematics
1 answer:
Nikolay [14]3 years ago
3 0

Answer:

|-8|

\text{Which property is shown by } 4+(5+6)=(4+5)+6?

\text{It is the associative property of addition}

You can group the addends in any combination and it won't change the result.

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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
2 - (7/8 - 3/4) what is the answer
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Step-by-step explanation:

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3 years ago
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Find the number of ways to distribute six different toys to three different children such that each child gets at least one toy.
Lisa [10]

Answer:

Step-by-step explanation:

Given that there are six different toys and they are to be distributed to three different children.

The restraint here is each child gets atleast one toy.

Let us consider the situation as this.

Since each child has to get atleast one toy no of ways to distribute

any 3 toys to the three children each.  This can be done by selecting 3 toys from 6 in 6C3 ways and distributing in 3! ways

So 3 toys to each one in 6x5x4 =120 ways

Now remaining 3 toys can be given to any child.

Hence remaining 3 toys can be distributed in 3x3x3 =27 ways

Total no of ways

= 120(27)

= 3240

8 0
3 years ago
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