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2 years ago

Evaluate 3(a + b + c)2 for a = 2, b = 3, and c = 4. 54 243 729

Mathematics

2 answers:

bearhunter [10]2 years ago

7 0

6(9) is equal to 54
Answer: 54

allsm [11]2 years ago

7 0

First, do a+b+c.
a+b+c=2+3+4
=9

Then, multiply that answer by 3:
3x9=27

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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

2 years ago

33. Construct a truth table to show that the following argument is valid.

GuDViN [60]

Answer:

see attached

Step-by-step explanation:

Perhaps you want to show that P∨Q will be equal to Q when ¬P is true. Attached is a truth table that shows this is the case.

This is simply a restatement of the logic of the OR function. When one its inputs is a logical 0 (false), the output depends on the other input(s).

5 0

1 year ago

35 POINTS ANSWER FAST PLZ!!!!!!!!!!!!!!!

Sladkaya [172]

The formula to solve for thee area of a square pyramid is [ V = 1/3 * b² * h ]

b² = base area (b = length of one side of the base)

h = height

The only option that as a base length of 12cm. and a height of 14cm. is the first option.

Solve for the volume if needed.

V = 1/3(12²)(14)

V = 1/3(144)(14)

V = 1/3(2,016)

V = 672cm²

Best of Luck!

8 0

3 years ago

Read 2 more answers

Questions in-the attachments if yk pls help I’ll give brainlist

vovangra [49]

The answer is A

.................

7 0

2 years ago

In one school, half of all students who like math like science as well. Also, in that school, a third of all students who like s

Nimfa-mama [501]

Answer:

2/3

Step-by-step explanation:

If we have 'x' students who like math and 'y' students that like science, we can formulate that:

Half of x likes math and science, and also one third of y likes math and science, so:

(1/2) * x = (1/3) * y

x / y = (1/3) / (1/2)

x / y = (1/3) * 2 = 2/3

So the ratio of the number of students who like math to the number of students who like science is 2/3

3 0

3 years ago

Read 2 more answers