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1 year ago

Given the function f(x) = ³x – 1, evaluate f(-12).

Mathematics

1 answer:

IgorC [24]1 year ago

8 0

Evaluation:

The answe for the function is -1.

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What is the value of x in the proportion below? 8/72 = x/36

barxatty [35]

Answer:

x = 4

Step-by-step explanation:

8/72 = x/36

crossmultiply

8 x 36 = X x 72

288 = 72x

divide both sides by 72

288/72 = x

therefore , x = 4

3 0

2 years ago

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Approximately 32,400 citizens of the country died in 2015. Express the toll in deaths per day

Zigmanuir [339]

There is 90 deaths per day.

First it tells us 32,400 people died in 2015, which also mean that many people died that year.

We have to find the number of people died each month first.

32,400÷12 because 12 is the total number of months in a year.

2700 people died in a month, not we need to find how many people died each day so we divided it by 30 and we get

90 deaths per day.

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2 years ago

If a snowball melts so that its surface area decreases at a rate of 9 cm2/min, find the rate (in cm/min) at which the diameter d

zhuklara [117]

Answer:

The diameter decreases at a rate of 0.143cm/min when it is of 10 cm.

Step-by-step explanation:

Surface area of an snowball:

An snowball has spherical format. The surface area of an sphere is given by:

$S = d^2\pi$

In which d is the diameter of the sphere.

In this question:

We need to differentiate S implicitly in function of time. So

$\frac{dS}{dt} = 2d\pi\frac{dd}{dt}$

Surface area decreases at a rate of 9 cm2/min

This means that $\frac{dS}{dt} = -9$

At which the diameter decreases when the diameter is 10 cm?

This is $\frac{dd}{dt}$ when $d = 10$ . So

$\frac{dS}{dt} = 2d\pi\frac{dd}{dt}$

$-9 = 2(10)\pi\frac{dd}{dt}$

$\frac{dd}{dt} = -\frac{9}{20\pi}$

$\frac{dd}{dt} = -0.143$

Area in cm², so diameter in cm.

The diameter decreases at a rate of 0.143cm/min when it is of 10 cm.

8 0

2 years ago

Javon spends 3 more hours on homework per week than michelle. if michelle spends m hours per week on homework, how many hours do

Zepler [3.9K]

I think the answer is C

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2 years ago

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Please help I’m stuck on this question!

lisabon 2012 [21]

$\frac{a}{2} = \frac{3}{2 } \\ a = 3$

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2 years ago