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3 years ago

Which is the slope of the line y = -3x + 2? A. -3 B. -2 C. 2 D. 3

Mathematics

2 answers:

musickatia [10]3 years ago

8 0

Answer:

A-3

Step-by-step explanation:

alexandr1967 [171]3 years ago

7 0

The answer is A -3.

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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

HELP WITH MY GEOMETRY REVIEW

hammer [34]

1. Corresponding angles
2. Supplementary angles
3. Same side interior angles
4. Alternate interior angles

5 0

3 years ago

What expression could be used to determine the product of -4 and 3 1/4

nikdorinn [45]

-4*3 1/4 would be and expression you can use

3 0

3 years ago

Read 2 more answers

The variables x and y are directly proportional, and y = 2

ololo11 [35]

3/2 = 9/x,

so 9 times 2 divided by 3 = 6

A: 6

5 0

3 years ago

Why can you use Linear Pairs and Vertical Angles to prove lines are parallel?

natta225 [31]

Answer:

The reason why linear pairs and vertical angles are used to prove lines are parallel is because they area transversal drawn through the parallel lines will form angles on each of the two parallel lines including;

1) Supplementary linear pairs and

2) Vertical angles

3) Alternate angles

Given that either;

a) The corresponding angles that form the linear pairs are congruent

b) The corresponding vertically opposite angles are congruent

c) The corresponding alternate angles are congruent, we have;

The two lines are said to be parallel.

Step-by-step explanation:

5 0

3 years ago