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Anuta_ua [19.1K]
3 years ago
10

A wheel with a radius of 7 inches is rotating at 4 revolutions per second. What is the linear speed v, in feet per second

Mathematics
1 answer:
Ymorist [56]3 years ago
5 0

Answer:

Linear speed= V= 175.84 m/s

Step-by-step explanation:

A wheel with a radius of 7 inches is rotating at 4 revolutions per second.

Linear speed v = rw

r= radius

r= 7 inches

w= angular speed

W= 4rev/s

But one rev= 2π

W= 4*(2π)/s

W= 8π/s

V= rw

V=7*8*3.14

V= 175.84 m/s

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If x -9 is a factor of x^2 -5 -36, what is the other factor?
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3 years ago
Tonya and Leo each bought a cell phone at the same time. The trade-in values, in dollars, of the cell phones are modeled by the
Paha777 [63]

Answer:

The answer is Tonya's phone had the greater initial trade-in value.

Leo's phone decreases at an average rate slower than the trade in value of Tonya's phone.

Step-by-step explanation:

Given

Tonya

f(x) = 490 * 0.88^x

Leo

x \to g(x)

0 \to 480

2 \to 360

4 \to 470

Solving (a): The phone with greater initial value

The initial value is when x = 0. So, we have:

f(x) = 490 * 0.88^x

f(0) = 490 * 0.88^0

f(0) = 490 * 1

f(0) = 490

From Leo's table

g(0) = 480

By comparison;

f(0) > g(0)

i.e.

490 > 480

<em>So: Tonya's had the greater initial trade-in value</em>

Solving (b): The phone with lesser rate

An exponential function is:

y = ab^x

Where:

b \to rate

For Tonya

b = 0.88

For Leo, we have:

(x_1,y_1) = (0,480)

(x_2,y_2) = (2,360)

So, the equation becomes:

y = ab^x

480 = ab^0 and 360 = ab^2

Solving 480 = ab^0, we have:

480 = a * 1

480 = a

a= 480

360 = ab^2 becomes

360 = 480 * b^2

Divide both sides by 480

0.75 = b^2

Take square roots

0.87 = b

b=0.87 -- Leo's rate

By comparison; Leo's rate is slower i.e. 0.87 < 0.88

6 0
3 years ago
Please help me fast I need to finish!!!!!!
ioda

Answer:

ans: The line passes through the point (0,13)

Step-by-step explanation:

(0,13) is Y-intercept

4 0
3 years ago
Read 2 more answers
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