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AnnyKZ [126]
1 year ago
14

PLEASE HELP

Mathematics
1 answer:
Kitty [74]1 year ago
8 0

Answer:

You don't need to create 3 posts for a single question. I already answered it in your most recent one.

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Write a linear function f with the given values.<br><br> f(x) =
Allushta [10]

Answer:

f(x) = -2x + 1

Step-by-step explanation:

8 0
3 years ago
The radius of the tires of a car is 18 inches, and they are revolving at the rate of 651 revolutions per minute. How fast is the
Mumz [18]
So the car is moving at 651 revolutions per minute, with wheels of a radius of 18inches

so, one revolution, is just one go-around a circle, and thus 2π, 651 revolutions is just 2π * 651, or 1302π, the wheels are moving at that "angular velocity"

now, what's the linear velocity, namely, the arc covered per minute

well   \bf v=rw\qquad &#10;\begin{cases}&#10;v=\textit{linear velocity}\\&#10;r=radius\\&#10;w=\textit{angular velocity}\\&#10;----------\\&#10;r=18in\\&#10;w=1302\frac{\pi }{min}&#10;\end{cases}\implies v=18in\cdot \cfrac{1302\pi }{min}&#10;\\\\\\&#10;v=\cfrac{23436\pi\ in}{min}

now, how much is that in miles/hrs?  well
let's keep in mind that, there are 12inches in 1foot, and 5280ft in 1mile, whilst 60mins in 1hr

thus   \bf \cfrac{23436\pi\ in}{min}\cdot \cfrac{ft}{12in}\cdot \cfrac{mi}{5280ft}\cdot \cfrac{60min}{hr}\implies \cfrac{23436\cdot \pi \cdot 60\ mi}{12\cdot 5280\ hr}

notice, after all the units cancellations, you're only left with mi/hrs
4 0
3 years ago
A rectangular mat has a length of 12 in. and a width of 4 in. Drawn on the mat are three circles. Each circle has a radius of 2
pickupchik [31]

|\Omega|=4\cdot12=48\\ |A|=3\cdot3.14\cdot2^2=37.68\\\\ P(A)=\dfrac{37.68}{48}\approx0.79

7 0
3 years ago
Whats the product of 87(10,000)
masha68 [24]

Answer:

8700

Step-by-step explanation:

hope this helps:)

8 0
3 years ago
If the population of a particular country is growing at 3.2 % compounded​ continuously, how long will it take the population to
Lisa [10]

Answer:

It will take 34.33

Step-by-step explanation:

* Lets talk about the compound continuous growing

- Compound continuous growing can be calculated using the formula:

 A=Pe^{rt}

# A = the future value

# P = the initial amount

# r = the growing rate  in decimal

# t = the time

* Lets solve the problem

- The population of a particular country is growing at 3.2 %

 compounded​ continuously

∴ r = 3.2/100 = 0.032

- We need to find how long will it take the population to triple​

∵ The initial population is P

∴ A = 3P

∵ A=Pe^{rt}

∴ 3P=Pe^{0.032t}

- Divide both sides by P

∴ 3=e^{0.032t}

- Insert ㏑ for both sides

∴ ln(3)=ln(e^{0.032t})

- Remember ln(e^{n})=n

∴ ㏑(3) = 0.032t

- Divide both sides by 0.032

∴ t = ㏑(3)/0.032 = 34.33

* It will take 34.33

8 0
3 years ago
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