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sattari [20]
2 years ago
10

100 POINTS AND BRANLIST

Mathematics
1 answer:
12345 [234]2 years ago
7 0

Answer:

can't see the image clearly

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Let A(t) be the area of a circle with radius r(t), at time t in min. Suppose the radius is changing at the rate of drdt=6 ft/min
mylen [45]

Answer:

The rate of change is 108\pi ft^(2)/min

Step-by-step explanation:

The area of a circle is given by the following equation:

A(t) = \pi r^{2}

To solve this question, we have to realize the implicit differentiation in function of t. We have two variables, A and r. So

\frac{dA(t)}{dt} = 2\pi r \frac{dr}{dt}

We have that:

\frac{dr}{dt} = 6, r = 9.

We want to find \frac{dA}{dt}

So

\frac{dA(t)}{dt} = 2\pi*9*6

\frac{dA}{dt} = 108\pi

Since the area is in square feet, the rate of change is in ft^(2)/min.

So the rate of change is 108\pi ft^(2)/min

5 0
3 years ago
Solve -3x^2-4x-4=0. Use the quadratic formula.
zepelin [54]
Let's solve your equation step-by-step.
−3x2−4x−4=0
Step 1: Use quadratic formula with a=-3, b=-4, c=-4.
x=
−b±√b2−4ac
2a
x=
−(−4)±√(−4)2−4(−3)(−4)
2(−3)
x=
4±√−32
−6

Answer:
No real solutions.
5 0
3 years ago
Read 2 more answers
Graph
posledela

Answer:

8

Step-by-step explanation:

3 0
3 years ago
?? anyone know thank you ❤️
asambeis [7]

Answer:

22/15 quarts of water.

Step-by-step explanation:

To solve this, we need to add 4/5 and 2/3. To do this, we need to find the LCM of 5 and 3. The LCM of 5 and 3 is 15. Now, we multiply 4/5 by 3/3. That gets us 12/15. Now, we multiply 2/3 by 5/5. That gets us 10/15. Now, we add 12/15 and 10/15 (don't add the bottom numbers). This gets us 22/15 quarts of water.

8 0
3 years ago
Read 2 more answers
Express each equation in slope-intercept form. -2x+4y=68, 13x+4y=284
lara31 [8.8K]
To get the answer we have to tranform into y=ax+b form
-2x+4y=68          /+2x
4y=2x+68          /:4
y=\frac{1}{2} x+17  - its the result

13x+4y=284           /-13x
4y=-13x+284        /:4
y=- \frac{13}{4}+ 71
y=-3 \frac{1}{4}x+71 - its the result
8 0
3 years ago
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