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mr Goodwill [35]
3 years ago
9

water drips from a faucet at a rate of 41 drops/ minute. Assuming there are 15,000 drops in gallon, how many minutes would it ta

ke for the dripping faucet to fill a 1 gallon bucket? Round your answer to the nearest whole number​
Mathematics
2 answers:
RideAnS [48]3 years ago
8 0

Answer:

370 minutes.

Explanation:

You can calculate the time by using the formula of rate:

 rate = amount / time = number of drops / time

From which you clear the time:

time = number of drops / rate

The rate and the number of drops are given: 41 drops / minute and 15,000 drops (since that is the number of drops in 1.00 gallons).

Therefore, time = 15,000 drops / 41 drops / minute = 365.85 minutes

You have to use the correct number of significant figures, which is the least number of significant figures in every factor. 41 has two significant figures, 15,000 also has two significant figures, while 1.00 has three significant figures.

So you must round 365.85 minutes to two significant figures.

That is 370 (365 is round up to 370).

Ronch [10]3 years ago
5 0

Answer:

366 Minutes

Step-by-step explanation:

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Find the limit of the function by using direct substitution.
serg [7]

Answer:

Option a.

\lim_{x \to \frac{\pi}{2}}(3e)^{xcosx}=1

Step-by-step explanation:

You have the following limit:

\lim_{x \to \frac{\pi}{2}{(3e)^{xcosx}

The method of direct substitution consists of substituting the value of \frac{\pi}{2} in the function and simplifying the expression obtained.

We then use this method to solve the limit by doing x=\frac{\pi}{2}

Therefore:

\lim_{x \to \frac{\pi}{2}}{(3e)^{xcosx} = \lim_{x\to \frac{\pi}{2}}{(3e)^{\frac{\pi}{2}cos(\frac{\pi}{2})}

cos(\frac{\pi}{2})=0\\

By definition, any number raised to exponent 0 is equal to 1

So

\lim_{x\to \frac{\pi}{2}}{(3e)^{\frac{\pi}{2}cos(\frac{\pi}{2})} = \lim_{x\to \frac{\pi}{2}}{(3e)^{\frac{\pi}{2}(0)}\\\\

\lim_{x\to \frac{\pi}{2}}{(3e)^{0}} = 1

Finally

\lim_{x \to \frac{\pi}{2}}(3e)^{xcosx}=1

6 0
3 years ago
A circle is divided into 6 equal parts. What is the angle measure of 1 part?
drek231 [11]
The angle measure of one part will be 60.

360/6 = 60 

That is because the circle it divided into 6 equal parts and the whole circle is 360.

Hope this helps :)
7 0
4 years ago
What is the volume of this rectangular prism? 30.75 cm^3
Alex787 [66]

This question is incomplete. Because it lacks the diagram of the Rectangular prism. Find attached to this answer the appropriate diagram.

Answer:

295.2 cm³

Step-by-step explanation:

A Rectangular Prism is a 3 dimensional geometric shape.

The formula used to calculate the volume of the Rectangular Prism = Length × Width × Height

Length = 15cm

Height = 4.8cm

Width = 4.1cm

Volume of the Rectangular Prism = 15cm × 4.8cm × 4.1cm

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3 0
3 years ago
Given that MN = 5, NO = 12, and MO = 13, find cos O.
Galina-37 [17]

Answer:

12/13

Step-by-step explanation:

Given that MN = 5, NO = 12, and MO = 13, find cos O.

Since the reference angle is P, hence;

MN is the opposite = 5

MO is the hypotenuse = 13 (longest side)

NO is the adjacent = 12

Cos O = adj/hyp

Substitute the given values

Cos O = 12/13

Hence the value of Cos O is 12/13

8 0
3 years ago
What the answer asap
Westkost [7]
The ounces are greater than the pints.  

I do hope I got what you needed and helped!  :)
4 0
3 years ago
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