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vagabundo [1.1K]
3 years ago
10

Can someone help me with these

Mathematics
1 answer:
ira [324]3 years ago
4 0
12 is a
13 is b
14 is d
15 is 1 217/1250
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The surface area of a melting snowball decreases at a rate of3.8cm2/min. Find the rate at which its diameter decreases when the
Scorpion4ik [409]

Answer:

Step-by-step explanation:

This is a pretty basic related rates problem. I'm going to go through this just like I do in class when I'm teaching it to my students.

We see we have a snowball, which is a sphere. We are talking about the surface area of this sphere which has a formula of

S=4\pi r^2

In the problem we are given diameter, not radius. What we know about the relationship between a radius and a diameter is that

d = 2r so

\frac{d}{2}=r Now we can have the equation in terms of diameter instead of radius. Rewriting:

S=4\pi(\frac{d}{2})^2 which simplifies to

S=4\pi(\frac{d^2}{4}) and a bit more to

S=\pi d^2 (the 4's cancel out by division). Now that is a simple equation for which we have to find the derivative with respect to time.

\frac{dS}{dt}=\pi*2d\frac{dD}{dt} Now let's look at the problem and see what we are given as far as information.

The rate at which the surface area changes is -3.8, and we are looking for \frac{dD}{dt}, the rate at which the diameter is changing, when the diameter is 13. Filling in:

-3.8=\pi(2)(13)\frac{dD}{dt} and solving for the rate at which the diameter is changing:

-\frac{3.8}{26\pi}=\frac{dD}{dt} and divide to get

\frac{dD}{dt}=-.459\frac{cm}{min} Obviously, the negative means that the diameter is decreasing.

7 0
3 years ago
If Rachel now owes a quarter of the money that she once owed, what could you do to find how much money she owes now?
MakcuM [25]
Divide what she owed is the right answer
8 0
2 years ago
Read 2 more answers
Hello I need help on this math question<br>BRAINLIEST For the fastest correct answer​
Stells [14]

Answer:

LA: 37.68 in squared

TSA: 94.2 in squared

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2 years ago
A cab ride f I'm your home to the airport cost $23.47. If you want to tip the cab driver close to 10 percent of the fare, how mu
Westkost [7]
10% of 23.47 is 2.347 so about $2.35
5 0
3 years ago
What is the slope of the line that passes through the points
Oksana_A [137]

The slope is ∞ , line is a vertical line parallel to y axis.

<h3>What is a Straight Line Function ?</h3>

A straight line function is a function that can be represented by y = mx +c , where m is the slope of the line and c is the intercept on the y axis.

There are two points given for a line ,

The slope is represented  by

\rm m = \dfrac{y_2 -y_1}{x_2 -x_1}\\\\m = \dfrac{31-6}{1-1}

m = ∞

which means the line is a vertical line parallel to y axis.

To know more about Straight Line Function

brainly.com/question/21145944

#SPJ1

4 0
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