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3 years ago

10×3 tens in standard form

Mathematics

2 answers:

yKpoI14uk [10]3 years ago

8 0

I assume you’re asking ten times 3 which is 30.

tamaranim1 [39]3 years ago

5 0

The answer to that would be 30

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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

Jed deposited $400 into a bank that offers 3.9% interest rate, compounded daily. In how many years will his balance be $800?

Klio2033 [76]

17.7 years----------->Apex correct answer

8 0

3 years ago

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An airplanes altitude changes -378 feet over 7 minutes. What was the mean change of altitude in feet per minute?

Natalija [7]

Average rate= change in alt / change in time

r=-378/7=-54ft/min

4 0

3 years ago

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Which choices name a chord of circle F? Choose all answers that are correct. A. AD B. BE C. CF D. DF?

Natalka [10]

I have encountered this problem before. The figure gave out 3 chords, 2 of which are diameters, and 1 radius.

A chord is a line segment that joins any two points on a circle.

A diameter is the longest chord on a circle. It originates at one side of the circle, passes through the middle point of the circle, and end on another side of the circle.

The chords in the figure area: AD, BE, and DE. AD and BE are diameters, they pass through F.

Among the choices: A.) AD and B.) BE are the chords.

CF and DF are radii. They only end up in the middle point of the circle.

8 0

3 years ago

Write a simplified expression using exponents that represents the area of the square.

olganol [36]

Answer:

The area of the square is 25 $d^{2}$ .

Step-by-step explanation:

In the given square, the length of the side = 5d.

Area of a square = side × side

Given: Side = 5d

Now plug in side 5d in the above area formula, we get

Area of the square = 5d × 5d

= 25 $d^{2}$

Therefore, the answer is 25 $d^{2}$ .

7 0

3 years ago