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Nostrana [21]
3 years ago
6

Jada walks at a speed of 3 miles per hour. Elena walks at a speed of 2.8 miles per hour. If they both begin walking along a walk

ing trail at the same time, how much farther will Jada walk after 3 hours? Explain your reasoning.
Mathematics
1 answer:
soldi70 [24.7K]3 years ago
7 0

Answer:

Jada will be .6 miles ahead of Elena

Step-by-step explanation:

3 miles per hour times 3 (for the 3 hours) gives you nine miles.

2.8 miles per hour time 3 ( for the 3 hours) give you 8.4 miles.

Subtract 9 by 8.4 to get .6 miles.

You might be interested in
40 is 80% of what number?
agasfer [191]

Answer:

50

Step-by-step explanation:

.80n = 40

n = 40 divided by .80

40/8/10  = 400 / 80 = 50

Best Of Luck,

- I.A. -

6 0
3 years ago
The population, P(t), of China, in billions, can be approximated by1 P(t)=1.394(1.006)t, where t is the number of years since th
vitfil [10]

Answer:

At the start of 2014, the population was growing at 8.34 million people per year.

At the start of 2015, the population was growing at 8.39 million people per year.

Step-by-step explanation:

To find how fast was the population growing at the start of 2014 and at the start of 2015 we need to take the derivative of the function with respect to t.

The derivative shows by how much the function (the population, in this case) is changing when the variable you're deriving with respect to (time) increases one unit (one year).

We know that the population, P(t), of China, in billions, can be approximated by P(t)=1.394(1.006)^t

To find the derivative you need to:

\frac{d}{dt}\left(1.394\cdot \:1.006^t\right)=\\\\\mathrm{Take\:the\:constant\:out}:\quad \left(a\cdot f\right)'=a\cdot f\:'\\\\1.394\frac{d}{dt}\left(1.006^t\right)\\\\\mathrm{Apply\:the\:derivative\:exponent\:rule}:\quad \frac{d}{dx}\left(a^x\right)=a^x\ln \left(a\right)\\\\1.394\cdot \:1.006^t\ln \left(1.006\right)\\\\\frac{d}{dt}\left(1.394\cdot \:1.006^t\right)=(1.394\cdot \ln \left(1.006\right))\cdot 1.006^t

To find the population growing at the start of 2014 we say t = 0

P(t)' = (1.394\cdot \ln \left(1.006\right))\cdot 1.006^t\\P(0)' = (1.394\cdot \ln \left(1.006\right))\cdot 1.006^0\\P(0)' = 0.00833901 \:Billion/year

To find the population growing at the start of 2015 we say t = 1

P(t)' = (1.394\cdot \ln \left(1.006\right))\cdot 1.006^t\\P(1)' = (1.394\cdot \ln \left(1.006\right))\cdot 1.006^1\\P(1)' = 0.00838904 \:Billion/year

To convert billion to million you multiple by 1000

P(0)' = 0.00833901 \:Billion/year \cdot 1000 = 8.34 \:Million/year \\P(1)' = 0.00838904 \:Billion/year \cdot 1000 = 8.39 \:Million/year

6 0
3 years ago
You MIGHT have the author been addressing when writing this?
solmaris [256]

Answer:

its b lol

Step-by-step explanation:

6 0
3 years ago
Write the equation of the line that passes through the points (-8,-5) (5,−8)
Nikolay [14]

Answer:

y=-3/13x-89/13

Step-by-step explanation:

m=y²-y¹/x²-x¹

m=(-8)-(-5)/5-(-8)

m=-3/13

y-y=m(x-x1)

y-(-8)=-3/13(x-5)

y+8= -3/13x+15/13

-8 -8

y=-3/13x-89/13

7 0
3 years ago
Evaluate the expression<br> 7^0
Marysya12 [62]

Answer:

1

Step-by-step explanation:

Any number put to the 0 power is equal to 1.

Does that help?

3 0
3 years ago
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