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d1i1m1o1n [39]
3 years ago
11

Please help me with this question

Mathematics
1 answer:
IgorC [24]3 years ago
3 0

Answer:

Step-by-step explanation:

Haven't seen a related rates problem in a while! These are fun!  Not too bad when you keep your stuff organized.  First, label what you've been given.  If the radius is decreasing, then we have

\frac{dr}{dt}=-.2

We are told to find \frac{dV}{dt} when r = 9.

Now we have to find the derivative of the volume of a sphere using implicit differentiation.  The derivative is

\frac{dV}{dt}=\frac{4}{3}\pi3r^2\frac{dr}{dt}

It looks like we have everything we need to solve for the unknown.  The derivative is even already set up to solve for the change in volume.  All we have to do now is plug in the values.

\frac{dV}{dt}=\frac{4}{3}\pi3(81)(-.2)

This does give us a negative number, -203.575 to be exact, but if you answer it without the negative, you say that the volume is decreasing at the rate of 203.575 cm/min cubed

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Your fitness tracker overestimates the number of steps you take by 5%. The trackers indicates that you took 7350 steps today. Wr
ivolga24 [154]

Answer:

7,000

Step-by-step explanation:

The number of actual steps is x.

x + x(.05) = 7350    This is actual steps plus the extra 5% equals the number shown on the tracker.

Pull out x

x (1+.05) = 7350

x (1.05) = 7350     Divide by 1.05

(x (1.05))/1.05 = 7350/1.05

x = 7,000

5 0
3 years ago
Read 2 more answers
Please help I don't understand!
coldgirl [10]

Answer:

AB

Step-by-step explanation:

I believe because on the other side it is AE over ED so I just repeated the pattern.

6 0
2 years ago
How to slove with systems of equations
juin [17]

Answer:

$3 for Syd and $5 for Mark

Step-by-step explanation:

when Mark worked 8 hours and Syd worked 10 hours they earned $80

when Mark worked 9h Syd worked 5h they earned $65

we can make a equation out of these information

8M + 10S = $80

9M + 5S = $65 we can use the systems of equations by eliminating method

multiply second equation by -2

-2 × (9M + 5S) = $65

-18M - 10S = -$130 now add up the new equation with the first one

8M + 10S - 18M - 10S = $80 - $130 (10S will eliminate -10S)

-10M = -$50

10M = $50

M = $5

we can use hourly rate we found for M (Mark) to find the hourly rate for S (Syd)

9×5 + 5S = $65

45 + 5S = $65

5S = $15

S = $3

8 0
4 years ago
Solve using the order of operations: 6.3 7 squared x 3.1
SVETLANKA909090 [29]
6.37² x 3.1

First is Exponents (6.37²):

40.6 x 3.1

Then, Multiplication:

40.6 x 3.1 = 125.9.

To remember the order of operations, the term PEMDAS can be used. (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.)
You do the equation in the order of the letters.

Example:

(5-2)5 + 2² / 6 -1 = ?

First, Parentheses:

(3)5 + 2² / 6 - 1

Then, Exponents:

(3)5 + 4 / 6 - 1

Then, Multiplication:

15 + 4 / 6 - 1

Then, Division:

15 + 0.7 - 1

Then, Addition:

15.7 - 1 

Then, Subtraction:

14.7

So that means, (5-2)5 + 2² / 6 -1 = 14.7
6 0
3 years ago
What is the volume of the box if it is scaled down by a factor of 1/10?<br> V= 308 35/64
anastassius [24]

Answer:

explanation will answer.

Step-by-step explanation:

To convert this fraction to a decimal, just divide the numerator (35) by the denominator (64). So, 35 / 64 = 35 ÷ 64 = 0.546875. Approximated Values: 35 / 64 = 0.5 rounded to 1 significant figure. 35 / 64 = 0.55 rounded to 2 significant figures. 35 / 64 = 0.547 rounded to 3 significant figures.

7 0
2 years ago
Read 2 more answers
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