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Kamila [148]
3 years ago
13

A cone is 10 inches tall and has a radius of 3 inches. What is the cone's volume?

Mathematics
1 answer:
kobusy [5.1K]3 years ago
8 0

Answer:

B) 94.2 in³

Step-by-step explanation:

V = (πr²h)/3

= 9π(10)/3 = 90π/3 = 30π ≈ 94.25

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In your lab, a substance's temperature has been observed to follow the function T(x) = (x + 5)3 + 7. The turning point of the gr
kompoz [17]
A turning point occurs when the velocity is equal to zero, but the acceleration is not equal to zero. 

t(x)=(x+5)^3+7

dt/dx=3(x+5)^2

d2t/dx2=6(x-5)

dt/dx=0 only when x=-5

However, since d2t/dx2(-5)=0, this point is an inflection point, not a turning point.

So there is no turning point for this function.

Now in this problem, it is even easier than the above to show that there is no turning point.  A turning point by definition is when the derivative or velocity changes sign.  Since in this case v=3(x+5)^2, for any value of x, v≥0, and thus never becomes negative, so it never changes from a positive to negative velocity because velocity in this instance is a squared function.


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4 years ago
Solve the inequality​
Olegator [25]

Answer:

2 ≤ x

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Write an equation of the line that is perpendicular to 3x + 9y = 7 and passes through the point (6, 4)
andrezito [222]
The perpendicular line will have the x and y coefficients swapped and one of them negated. We can write the desired line as
  9(x -6) -3(y -4) = 0
where the coordinates of the point of interest are (6, 4).
Dividing by 3, this is
  3(x -6) -(y -4) = 0
  3x -y = 14

An equation for the line of interest is ...
  3x -y = 14

8 0
3 years ago
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5. Use 3.14 for π to estimate the area of a circle. The diameter is given. Round your answer to the nearest hundredth if necessa
Brilliant_brown [7]
76.6 is the answer for the question
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3 years ago
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Joe bikes at the speed of 30 km/h from his home toward his work. If Joe's wife leaves home 5 mins later by car, how fast should
Dahasolnce [82]

Answer:

45 mph

Step-by-step explanation:

This is a really good question to know the answer to. It is tricky and a bit indirect (which means you have to find something else before you can find the speed of the car.)

Let's keep track of what he does in the time allotted.

How far does Joe go in 5 minutes? That's the amount of time he's on the road before she is.

convert 5 minutes into hours. 5 minutes * 1 hour / 60 minutes = 1/12 of an hour

d = r*t

r = 30 km/hour

t = 1/12 hour

d = 30 km/hr * 1/12 hour = 2.5 km

Now she's about to start. She wants to catch him in 10 minutes

d = r*t

r = x mph

t = 10 minutes = 10 minutes * 1 hour * 60 minutes = 1/6 of an hour.

How far does he go in the 10 minute time?

d = 30 * 1/6 = 5 km

What is his total distance

5 km + 2.5 km = 7.5 km

Finally how fast does she need to go to catch him

d = 7.5 km

r = ?   This is what you are trying to find

t = 1/6 of an hour

d = r*t

7.5 km = r * (1/6)hour             divide by 1/6 hour

7.5 km // 1/6 hour = r

r = 7.5 * 6 = 45 mph

6 0
3 years ago
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