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Olenka [21]
3 years ago
6

A car traveled a distance of 210 miles in 3 hours time. How fast was the car driving?

Mathematics
1 answer:
serious [3.7K]3 years ago
3 0
You do 210 mile / 3 hours. and then that’s the mile per hour rate
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An athlete's speed on her bike is 14mph faster than her average speed running. She can bike 31.5 miles in the same time that it
scoundrel [369]
You would cross multiply.
14 over 31.5
and X over 10.5
10.5 times 14 is 147
divide that by 31.5 which is 4 1/3
and that is how fast she can run
4 1/3 mph
7 0
3 years ago
Select the correct answer.
aleksklad [387]

Answer:

R(2, 4)

Step-by-step explanation:

The general equation for a circle centered at (h,k) with radius, R, is  

(x-h)^2 + (y-k)^2 = R^2

Putting the values in formula,

(x-6)^2 + (y-1)^2 = 5^2

Putting the coordinates (2, 4) of the answer B(2-6)^2 + (4-1)^2 = 25

(-4)^2 + 3^2 = 25

16 + 9 = 25

25 = 25

R.H.S = L.H.S

So according to the above solution,

B) R(2, 4), is the correct answer.

5 0
2 years ago
Let f(x) = xe^-x+ ce^-x, where c is a positive constant. For what positive value of c does f have an absolute
Illusion [34]

Answer:

c=6

Step-by-step explanation:

The absolute maximum of a continuous function f(x) is where f'(x)=0. Therefore, we must differentiate the function and then set x=-5 and f'(x)=0 to determine the value of c:

f(x)=xe^{-x}+ce^{-x}

f'(x)=-xe^{-x}+e^{-x}-ce^{-x}

0=-(-5)e^{-(-5)}+e^{-(-5)}-ce^{-(-5)}

0=5e^{5}+e^{5}-ce^{5}

0=e^5(5+1-c)

0=6-c

c=6

Therefore, when c=6, the absolute maximum of the function is x=-5.

I've attached a graph to help you visually see this.

7 0
2 years ago
Classify the model as Exponential GROWTH or DECAY. <br> A=10(1.01)^3
Masteriza [31]

Answer:

GROWTH

Step-by-step explanation:

Given the Exponential function;

A=10*1.01^{3}

As we can see in the given function above:

the base number is 1.01 which is greater than 1 hence the quantity increases,

slowly at first and then very rapidly over its domain. The rate of growth becomes faster as time passes.

The growth "rate" (r) is determined as b = 1 + r.

In this situation, the rate growth is = 1.01 -1  = 0.01

Hope it will find you well.

5 0
3 years ago
Last month you spent $20 on clothing. This month you spent 180% of what you spent last month. How much did you spend this month?
frutty [35]
Stan Han Jisung!!!!!He literally cute!!hdbdbdkkdjd

8 0
2 years ago
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