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3 years ago

75km/h compute in m/s

1 answer:

8 0

75 * 1000/3600 = 20.8333333

You just need to multiply with 1000 to get m from km and divide by 3600 because you are converting hours in seconds.

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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

Graph the equation h=-16t^2+80. click on the graph until the correct solution appears

Andru [333]

The graph of $f(x)=-16 t^{2}+80$ is shown in the graph below.

The graph is of ∩-shape when the constant $a$ of the quadratic equation $a x^{2} +bx+c$ is negative

7 0

3 years ago

Read 2 more answers

What are the next three terms of each sequence?5,7.5

leva [86]

Answer:

The next three terms are 10, 12.5 and 15

Step-by-step explanation:

I. As you can see 5 and 7.5 is came from 5, 5 + 2.5

So given y = 5 + 2.5( x - 1 ) when y is output, x is term

II. Perform x = 3, 4, 5

So y = 5 + 2.5( 3 - 1 )

= 5 + 5

3rd = 10

y = 5 + 2.5( 4 - 1 )

= 5 + 7.5

4th = 12.5

y = 5 + 2.5 (5 - 1)

= 5 + 10

5th = 15

Leave comment below.

3 0

3 years ago

a deer tick measures 29 centimeters in length in a photograph. if the photo has been enlarged by a factor of 100, what is the ac

N76 [4]

.29 cm in length

29 ÷ 100 = .29

3 0

3 years ago

John makes a commission of 2% when he sells a house. How much will John make in commission if he sells a house for $300,000?

Anuta_ua [19.1K]

Answer: As a result of his company being able to sell a house of $300,000, John will earn a commission of $6,000.

When John sells a house, he gets a commission of 2% out of the selling price of that house.

If a house sells for $300,000 therefore, John will earn a commission of:

= Selling price of house x John's commission

= 300,000 x 2%

= $6,000

In conclusion, John will make a commission of $6,000.

Step-by-step explanation:

4 0

2 years ago