If r = 8 units and x = 6 units, then what is the volume of the cylinder shown above?

Robert can complete 10 inspections in 8 hours. Which represents the unit rate for the number of inspections he completes per hou

polet [3.4K]

The correct answer would be 1.25 inspections an hour because you just need to divide 10 by 8 and you should get 1.25. Hope this helps.

3 0

2 years ago

Read 2 more answers

(Q2) Which of the following points lies on the graph of the function y = 4x ?

stepladder [879]

Answer:

C

Step-by-step explanation:

I think I will answer the question the your attachment because it has full information.

The function is: y = 3* $2^{x}$

a. The function decreases

Wrong, because the base number is 2 and it is greater than 0. The function will go up

b. y=intercept of (0.2)

Wrong, Let substitute x =2 into the function: y = 3* $2^{2}$ = 12

c. if x increase by 1, the value of y will double

Because the base number is 2. For example:

If x = 2, y = 3* $2^{2}$ = 12

If x =3, y =3* $2^{3}$ =(3* $2^{2}$ *)2 = 24

d. contains the point (2,4)

Wrong, Let substitute x =4 into the function: y = 3* $2^{4}$ = 48

So we choose C

5 0

2 years ago

Y=23x+5 and<br><br> y=x+3<br><br> what is the solution

kondor19780726 [428]

Answer:

I solved this like you would a system of equations - if that is not the answer you need LMK

Point form:

(- 1/11, 32/11)

Equation Form:

x = -1/11, y = 32/11

Step-by-step explanation:

8 0

2 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

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