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VikaD [51]
2 years ago
8

What is the slope of the line. ?

Mathematics
1 answer:
Natasha2012 [34]2 years ago
8 0

Answer:

-1

Step-by-step explanation:

rise/run

rise=-1

run=1

-1/1=-1

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The radius of a sphere is increasing at a rate of 5 mm/s. How fast is the volume increasing (in mm3/s) when the diameter is 40 m
jeka94

9514 1404 393

Answer:

  8000π mm^3/s ≈ 25,133 mm^3/s

Step-by-step explanation:

The rate of change of volume is found by differentiating the volume formula with respect to time.

  V = 4/3πr^3

  V' = 4πr^2·r'

For the given numbers, this is ...

  V' = 4π(20 mm)^2·(5 mm/s) = 8000π mm^3/s ≈ 25,133 mm^3/s

_____

<em>Additional comment</em>

By comparing the derivative to the area formula for a sphere, you see that the rate of change of volume is the product of the area and the rate of change of radius. This sort of relationship will be seen for a number of different shapes.

4 0
3 years ago
A person who is 1.5 meters tall casts a shadow that is 8 meters long. The distance along the ground from the person (N) to the f
neonofarm [45]
1.) 1.5m/8m= fg/32m
2.) 1.5 (32)= 8m * fg
3.) 1.5 (32)/8m= fg
4.) 6m = fg

Im pretty sure that's right
7 0
3 years ago
Which pair of fractions and mixed numbers have a common denominator of 20?
Tomtit [17]

Answer:

D 3 3/4 and 7/10

Step-by-step explanation:

A) 2 3/8 and 3/4  

4 goes into 20 evenly but 8 does not

NO

B) 1 5/6 and 2/5

5 goes into 20 evenly but 6 does not

NO  

C) 4 1/3 and 1/4

4 goes into 20 evenly but 3 does not

NO

D) 3 3/4 and 7/10

4 goes into 20 evenly and 10 goes into 20 evenly

YES 3 3/4 = 3 15/20 and 7/10 = 14/20

8 0
3 years ago
Which expresstion is equivalent to 22 - 3
amid [387]
22+(-3)
first one.
u take out the adding sign and convert it to minus so it’s 19.
3 0
2 years ago
What’s 108+3729*6282%2719/1819? This is only worth 5pts. Just kidding, what’s 2+2?
loris [4]

Answer:

4

Step-by-step explanation:

Hope this helped!

4 0
2 years ago
Read 2 more answers
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