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soldier1979 [14.2K]
3 years ago
14

A line has a slope of -6 and includes the points (5,2) and (7,t). What is the value of t? t=

Mathematics
1 answer:
Naya [18.7K]3 years ago
5 0

Answer:

t=-10

Step-by-step explanation:

-6=t-2/7-5

-6=t-2/2

Cross multiply

-6*2=t-2

-12=t-2

t=-12+2

t=-10

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sp2606 [1]

Answer:

The volume is decreasing at a rate 20π cubic meter per hour.

Step-by-step explanation:

We are given the following in the question:

The radius is increasing at a rate 1 meter per hour.

\dfrac{dr}{dt} = 1\text{ meter per hour}                

The height is decreasing at a rate 4 meter per hour  

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At an instant time t,

r = 5 meter

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Volume of cylinder =

\pi r^2 h

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Rate of change of volume is given by:

\dfrac{dV}{dt} = \dfrac{d(\pi r^2 h)}{dt}\\\\\dfrac{dV}{dt} = 2\pi rh\dfrac{dr}{dt} + \pi r^2\dfrac{dh}{dt}

Putting all the values we get,

\dfrac{dV}{dt} = 2\pi (5)(8)(1) + \pi (5)^2(-4)\\\\\dfrac{dV}{dt} = 80\pi - 100\pi = -20\pi \approx -62.8

Thus, the volume is decreasing at a rate 20π cubic meter per hour or 62.8 cubic meter per hour.      

3 0
3 years ago
Ivy invested $150 000 in a savings account that offers to pay simple interest of 0.2% per year. How much interest will she recei
kvv77 [185]

Answer:

The answer is the CD was for 3 years.

Step-by-step explanation:

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Next, substitute the given values.

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2 years ago
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Peter, to find the perimeter you have to add all sides up.
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4 years ago
Help me with this one
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4 years ago
A box contains 4 bags of sugar. the total mass of all 4 bags is 6 kg what is the mass of each bag in grams ​
Liono4ka [1.6K]

Answer:

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7 0
3 years ago
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