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kramer
3 years ago
11

A basketball with a radius of 24.1 cm rolls 8.0m in 11 seconds. what is the angular frequency of the ball?

Mathematics
1 answer:
Dominik [7]3 years ago
8 0
The formula for angular frequency is:

ω = velocity/radius

Since we are given distance(8.0m) and time(11 seconds) , we can also express the formula as:

ω = distance/(radius)(time)

Substituting the given values:

8.0m/(0.241m)(11s)

Which would give us the answer of 3.03 seconds.

Hope this answer helps.
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Solve two sevenths times four sixths . (2 points) Group of answer choices six forty seconds eight forty seconds six thirteenths
Maksim231197 [3]

Given:

The statement is "two sevenths times four sixths".

To find:

The value of the product.

Solution:

Two sevenths times four sixths can be written as:

\dfrac{2}{7}\times \dfrac{4}{6}

It can be rewritten as:

\dfrac{2}{7}\times \dfrac{4}{6}=\dfrac{2\times 4}{7\times 6}

\dfrac{2}{7}\times \dfrac{4}{6}=\dfrac{8}{42}

The answer of given expression is eight forty seconds.

Therefore, the correct option is B.

8 0
3 years ago
Solve x2 + 8x + 22 = 0 by completing the square.
Liula [17]

Answer:

A)

Step-by-step explanation:

the solution of a squared equation is

x = (-b ± sqrt(b² - 4ac)) / (2a)

in our case

a = 1

b = 8

c = 22

x = (-8 ± sqrt(64 - 88))/2 = (-8 ± sqrt(-24))/2 =

= (-8 ± sqrt(4×-6))/2 = (-8 ± 2×sqrt(-6))/2 =

= -4 ± sqrt(-6) = -4 ± i×sqrt(6)

6 0
3 years ago
The average monthly rent for a? 1000-sq-ft apartment in a major metropolitan area from 1998 through 2005 can be approximated by
Lunna [17]

Answer:

  t = 1.107

Step-by-step explanation:

Finding the solution using derivatives involves finding the lower zero of the quadratic that is the second derivative of the given function. That second derivative will be ...

  f''(t) = 12(1.6714)t^2 -6(22.45)t +2(62.27)

  = 20.0568t^2 -134.7t +124.54

  = 20.0568(t -3.35796)² -101.619 . . . . rewrite to vertex form

Then f''(t) = 0 when ...

  t ≈ 3.35796 -√(101.619/20.0568) ≈ 1.10706

__

The solution is perhaps more easily found using a graphing calculator to find the peak of the first derivative. (See attached.) It tells us ...

  t ≈ 1.107

1.1 years after the beginning of 1998 is about 1.2 months into 1999.

Rents were increasing most rapidly in early February of 1999.

8 0
3 years ago
if 1 inch represents 14 feet, what dimension would you use to make a scale drawing of a building 44 feet by 50
8_murik_8 [283]
3.14 by 3.57 just divide those numbers by 14 and round to the hundredths place
8 0
3 years ago
Find the missing dimension.
Alecsey [184]

Answer:

2 m

Step-by-step explanation:

Here the area and the lengths of the two parallel sides of this trapezoid are given:

A = 7m^2, b1 = 3 m and b2 = 4 m.  What's missing is the width of the trapezoid.

First we write out the formula for the area of a trapezoid:

       b1 + b2

A = --------------- * w, where w represents the width of the figure.

             2

We need to solve this for the width, w.  Multiplying both sides of the above equation by

     2

------------

b1 + b2

results in

 2A

------------ = w

b1 + b2

Substituting 7 m^2 for A, 3 m for b1 and 4 m for b2 results in

        2(7 m^2)           14 m^2

w = ------------------ = ---------------- = 2 m

        (3 + 4) m             7 m

The missing dimension is the width of the figure.  This width is 2 m.

4 0
3 years ago
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