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BabaBlast [244]
3 years ago
12

The time required to drive a fixed distance varies inversely as the speed. It takes 40 hr at a speed of 10 km/h to drive a fixed

distance. How long will it take to drive the same distance at a speed of 8 km/h?
Mathematics
1 answer:
patriot [66]3 years ago
3 0

Answer:

50 hours

Step-by-step explanation:

Given data

Time=40hr

Speed=10km/hr

Let us find the fixed distance first

Speed= distance/Time

10= distance/40

distance= 10*40

distance= 400miles

Now our speed= 8km/h

hence the time is

8= 400/time

time= 400/8

time=50 hours

Hence the time is 50 hours

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Answer:

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r = ∛ ( ---------- )

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Step-by-step explanation:

Please, enclose the fraction 4/3 inside parentheses, to eliminate any possibility of misreading this fraction.  Also note that this formula MUST include "pi," symbolized by π.

V = (4/3) π r³  This formula does NOT include "m," which is a unit of measurement, not a variable.

Our task is to solve this formula for the radius, r.

Divide both sides by (4/3) π, to isolate r³.  This results in:

      v               (4/3) π r³

-------------   =  -----------------

  (4/3) π             (4/3) π

                     

                       V              3V

Then r³ = --------------  =  --------

                   (4/3) π           4π

and r is found by taking the cube root of the above result:

            3V

r = ∛ ( ---------- )

            4π

4 0
3 years ago
Given the function f(x) = 2(3)^x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3.
sleet_krkn [62]

Average rate of change can be calculated by determining the rate of change at x = a, and at x = b

f’(x) =2 (3^x) ln(3)

f’(0) = 2 ln(3)

f’(1) = 6 ln(3)

f’(2) = 18 ln(3)

f’(3) = 54 ln(3)

Average:

at section A = [6 ln(3) – 2 ln(3)]/1 = 4 ln(3)

at section B = [54 ln(3) – 18 ln(3)]/1 = 36 ln(3)

section B is 9 times larger.

Based from the f’(x), f’(x) varies as the power of x. so the greater of value of x, the greater the rate of change.

8 0
3 years ago
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Otrada [13]

Answer:

16.0(?)

Step-by-step explanation:

I’m not really sure if it’s correct. But I’m assume it’s correct.

6 0
3 years ago
Evaluate expressions- if A=4 and B=9 what is the value of the following expression
lys-0071 [83]

Answer:

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Step-by-step explanation:

just put the value of a and b in the expression and you will get the answer

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7 0
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Read 2 more answers
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Minchanka [31]

Answer:

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Step-by-step explanation:

Standard form is ax² + bx + c = 0 or f(x) = ax² + bx + c

So we are going to expand the equation and combine like terms:

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f(x) = x² - 6x + 14

7 0
3 years ago
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