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JulsSmile
4 days ago
13

One hundred and fifty people were asked whether they liked to see comedies or dramas and whether or not they buy popcorn for the

movie. Out of 90 people that liked comedies, 75 said they buy popcorn. There were 40 people who said they do not buy popcorn. Recreate the two-way table below on your own paper to summarize the data. Then answer the question below.
How many people like to see dramas but do not buy popcorn?

A.
150 people

B.
15 people

C.
25 people

D.
75 people
Mathematics
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Question 1(Multiple Choice Worth 2 points)
babunello [11817]
Here are 3 questions with their respective answers.

1) Find


\lim_{x \to \ 2^+} f(x)

Answer: 4.

Explanation:

This expression indicates the limit as the function f(x) approaches 2 from the right side.

You should apply the function (the line) from the right side of 2 and get as close to x = 2 as you can.

That line has an open circle at y = 4, which is the limit we are looking for.

2) Analyze the graph to see if the limit exists.

Answer:

\lim_{x \to \ 2^-} f(x) = 3

\lim_{x \to \ 2^+} f(x)=-3

To find each limit, utilize the function approaching from the direction of x.

It's important to note that since the two limits differ, it is concluded that the limit of the function as x approaches 2 does not exist.

3)
Answer: -1


\lim_{x \to \ 3^-} f(x) = -1

To determine the limit as the function approaches 3 from the left, follow the line ending with an open circle at (3, -1).

Hence, the limit is -1.
5 0
3 months ago
Read 2 more answers
The equation y=45x represents the number of miles, y, Mr. Miller’s car can travel using x gallons of gas. Which data display rep
Inessa [12570]
You might consider utilizing the following dataset:
0 0
1 60
2 120
3 180
4 240
5 300
6 360
7 420
8 480
9 540
10 600
This information illustrates a function of:
y = 60x
This indicates that the vehicle achieves 60 miles per gallon.
The distance covered per gallon exceeds that of Mr. Miller's vehicle.
7 0
3 months ago
It takes your garden hose 20 seconds to fill your 2-gallon watering can. How long will it take to fill
zzz [12365]

Answer: a) 1791 seconds

b) 29701 seconds

Step-by-step breakdown:

1 US gallon = 0.134 cubic feet

It takes 20 seconds to fill a 2-gallon watering can with the garden hose. Converting 2 gallons into cubic feet results in

2 × 0.134 = 0.268 cubic feet

a) The inflatable pool has dimensions of 3 feet wide, 8 feet long, and 1 foot deep.

Volume = 3 × 8 × 1 = 24 cubic feet

If it takes 0.268 cubic feet = 20 seconds

Then 24 cubic feet = (24 × 20)/0.268

= 1791 seconds

b) The formula for the volume of a cylinder is πr²h

Diameter = 13 feet

Radius = diameter/2 = 13/2 = 6.5

The circular pool's volume calculates to

3.14 × 6.5² × 3 = 397.995 cubic feet

If it takes 0.268 cubic feet = 20 seconds

Then 397.995 cubic feet = (397.995 × 20)/0.268

= 29701 seconds

5 0
3 months ago
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