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vazorg [7]
2 years ago
13

A washer contains a drum that spins at 750 revolutions per minute. To the nearest hundredth, the angular velocity of the drum is

_____ radians per second.
Mathematics
1 answer:
LenaWriter [7]2 years ago
8 0
For this case, the first thing we must do is to take into account the following transformation of units:
 1 revolution = 2pi radians
 1 minute = 60 seconds
 Applying the transformation of units we have:
 (750) * (1/60) * (2 * pi) = 78.54 rad / sec

 Answer:
 
To the nearest hundredth, the angular velocity of the drum is 78.54 radians per second.
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if f(x)= 2x^2+5sqrt(x-2), complete the following statement: The domain for f(x) is all real numbers _____ than or equal to 2. (f
SCORPION-xisa [38]

Answer:

Greater.

Step-by-step explanation:

The in the function  f(x)=2x^2+5\sqrt{x-2}, the square root term \sqrt{x-2} has to give a real number if f(x) is to be real. This can only happen if x\geq 2 because if x then \sqrt{x-2} will give a complex number and therefore f(x) will not be real.

Thus, the domain for f(x) is all real numbers<em><u> greater</u></em><u> </u>than or equal to 2.

7 0
2 years ago
You are at the bottom of a mountain where the temperature is 74°F. The top of the mountain is 5500 feet above you. What is the t
mamaluj [8]

For every 1,000 feet you go up in elevation, the temperature decreases by about 3.3°F

 

Given:

Temperature at the bottom of the mountain is 74°F

The top of the mountain is 5500 feet above you

 

Change (reduction) in temperature is 3.3 X 5500 / 1000

= 18.15°F

 

Temperature at the top of the mountain is 74°F – 18.15°F

= 55.85°F

3 0
1 year ago
In triangle $DEF,$ $\angle D = 30^\circ,$ $\angle F = 60^\circ,$ and $EF = 6.$ Find $DE + DF.$ [asy] unitsize(2 cm); pair D, E,
sergey [27]

Answer:

Step-by-step explanation:

The answer to this question is 12+6sqrt3.

This is because of the 30, 60, and 90 degree rule. The rule states that the hypotenuse is equal to twice the length of the shorter leg, which is the side across from the 30 degree angle.

Using the rule you now know that DF is 12. Then use the Pythagorean Theorem to find the length of DE. 12^2=144, and 6^2=36. 144-36=108.

The square root of 108 simplified=6sqrt3.

Then you add them together and get 12+6sqrt3.

5 0
2 years ago
Last month the ending balance on Maryanne’s Mastercard was $1,789, the average daily balance was $755, and the monthly periodic
melisa1 [442]

Answer:

False

Step-by-step explanation:

Based on the information given we can calculate the finance charge of Maryanne’s by simply multiplying her average daily balance which is the amount of $755 times her monthly periodic rate which is 0.0185.

Hence, Maryanne's finance charge is calculated by using this formula

Finance charge=Average daily balance*Monthly periodic rate

Let plug in the formula

Finance charge= $755* 0.0185

Finance charge= $13.97

Therefore Maryanne's finance charge will be $13.97

4 0
2 years ago
The ____________ of probability tells that to determine the chances of independent events, such as the likelihood of inheriting
____ [38]

Answer:

The product rule of probability tells that to determine the chances of independent events, such as the likelihood of inheriting a certain allele, probabilities are multiplied

Step-by-step explanation:

The product rule of probability states that the probability of independent events occurring together can be gotten by multiplying the probability of each event occurring alone.

The product rule is given as P(A*B) = P(A) *P(B).   Where A and B are two independent events. For example when picking cards from a deck of 52 cards, the probability of getting an ace is 4/52 = 1/13 (because there are 4 aces in a deck of 52 cards) . The probability of picking a heart is 13/52 = 1/4. Therefore the probability of picking the ace of hearts is 1/4*1/13 =1/52.

6 0
2 years ago
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