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Fynjy0 [20]
3 years ago
11

F(x) = 2x3 + 7x2 – 4x – 5

Mathematics
1 answer:
qaws [65]3 years ago
7 0

Answer:

Its 3

Step-by-step explanation:

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If a snowball melts so that its surface area decreases at a rate of 3 cm2/min, find the rate at which the diameter decreases whe
tensa zangetsu [6.8K]

Answer:

The diameter decreases at a rate of -0.0477 cm/min when it is 10 cm.

Step-by-step explanation:

Surface area of a snowball:

A snowball has a spheric format, which means that it's surface area is given by:

A = 4\pi r^2

In which r is the radius, which is half the diameter. In function of the diameter, the area is given by:

A = 4\pi(\frac{d}{2})^2 = \pi d^2

Solving the question:

To solve this question, we have to implicitly derivate the area in function of t. So

\frac{dA}{dt} = 2d\pi\frac{dd}{dt}

Snowball melts so that its surface area decreases at a rate of 3 cm2/min

This means that \frac{dA}{dt} = -3

Find the rate at which the diameter decreases when the diameter is 10 cm.

This is \frac{dd}{dt} when d = 10. So

\frac{dA}{dt} = 2d\pi\frac{dd}{dt}

-3 = 20\pi\frac{dd}{dt}

\frac{dd}{dt} = -\frac{3}{20\pi}

\frac{dd}{dt} = -0.0477

The diameter decreases at a rate of -0.0477 cm/min when it is 10 cm.

5 0
3 years ago
WHO EVER AWNSERS FIRST AND CORRECT GETS BRAINLYIST AND 50 POINTS
kifflom [539]

Answer:

Step-by-step explanation:

C

4 0
3 years ago
Read 2 more answers
What is the probability of getting two heads in an experiment of tossing two coins at the same time? h 1/4 С a 50% 0 I don't kno
Svet_ta [14]

The probability of tossing a coin of getting head is 1/2 because there are two faces in the coin one of them is head

P(h) = 1/2

Since there are two coins will tossing together, then the probability of each coin getting a head is 1/2

We need to getting head in both, then we will multiply the two of them

P(h\text{ and h) =}\frac{1}{2}\times\frac{1}{2}=\frac{1}{4}

Then the probability is 1/4

7 0
1 year ago
Polly made a pinata for her sister's birthday party and wants to fill it with candy. If
devlian [24]

Answer:

The volume of candy that is needed by Polly is 1,437.3 cubic inches

Step-by-step explanation:

What we have to do here is to find the volume of the sphere with a diameter of 14 inches

If the diameter is 14 inches, then the radius is 14/2 = 7 inches

This is because the radius is half the measure of the diameter

To find the volume of the sphere, we use the formula below;

Volume of sphere

= 4/3 * pi * r^3

pi = 22/7

r = 7 inches

Volume is;

4/3 * 22/7 * 7^3

= 4/3 * 22 * 7^2 = 1437.3 cubic inches

5 0
3 years ago
On a math test, you obtained a score of 66 points. This was 88% ofthe total number of points on the test. How many total points
Lyrx [107]

Answer:

75

Step-by-step explanation:

Let x be the total points

66/x  = 0.88 (88%)

x = 75

3 0
3 years ago
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