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3 years ago

For what value of x is the following expression sinx undefined for Os x <211? 1+COS X

Mathematics

1 answer:

tekilochka [14]3 years ago

6 0

Answer:

ti 5

Step-by-step explanation:

its 5

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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

What's 3x+5y=-7 (show step by step on paper)

Allushta [10]

Answer:

m=-3/5

Step-by-step explanation:

Simplifying

3x + 5y = 7

Solving

3x + 5y = 7

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5y' to each side of the equation.

3x + 5y + -5y = 7 + -5y

Combine like terms: 5y + -5y = 0

3x + 0 = 7 + -5y

3x = 7 + -5y

Divide each side by '3'.

x = 2.333333333 + -1.666666667y

Simplifying

x = 2.333333333 + -1.666666667y

6 0

3 years ago

Solve. x – 6 = 14 – 8 0 12 20 –12

lana [24]

The answer is 12 because first we have to simplify 14-8 to 6 so it will be
x-6=6
Then add 6 to both sides lastly simplify 6+6 to 12
So x=12

7 0

4 years ago

Pls answer i need answer fast

puteri [66]

Answer:

-24

Step-by-step explanation:

Given expression:

3z (2y - 4)²

z = -2 and y = 3

To solve this problem, simply substitute:

3z (2y - 4)² = 3(-2){2(3) - 4}²

= -6(6-4)²

= -6 (2)²

= -6 x 4

= -24

3 0

3 years ago

Read 2 more answers

In the diagram below, m A = 59°, m B = 55° and m C = 78°. Find m D.

masya89 [10]

Answer:

D=36

Step-by-step explanation:

All angles of the triangle add up to 180. Subtract 180-59-55=66

Then the missing measurement is a vertical which means that E=66.

So then 180-78-66=36

3 0

4 years ago