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ANEK
15 days ago
13

On January 1st, Jerome concocts a rumor and tells Beth. On January 2nd, they each tell a new person. By the end of January 2nd,

four people have heard the rumor. On each subsequent day, each person who has heard the rumor spreads it to a new person.
How many people have heard the rumor by the end of January 8th?
Mathematics
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Evaluate −b2−2bx2−x when x=−2.
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The result is 6x+2.
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3 months ago
An upscale resort has built its circular swimming pool around a central area that contains a restaurant. The central area is a r
zzz [12365]
The diagram below illustrates the issue at hand.

Question 1:
The maximum area of the pool equals half the area of the circle.

To calculate the area of the circle: Area = πr², with r being half of the diameter.
Thus, Area of circle = π(60)² = 11309.73355 square feet.

Therefore, the area representing half the circle amounts to 11309.73355/2 = 5654.866... ≈ 5654.87 square feet (rounded to 2 decimal places).

Question b:

To find the pool's area, we take the circle's area and subtract the triangle's area.

The area of the circle is 11309.73 square feet.

For the triangle's area calculation: 1/2 × (60×103.92) = 3117.6 square feet.

The area of the pool thus operates as 11309.73 - 3117.6 = 7922.13 square feet.

Calculating the pool's volume: 7922.13 × 4 = 31688.52 cubic feet.

Note: Information related to the fish tank is unavailable, so the above calculation focuses solely on the entire pool's volume.

6 0
3 months ago
Anthony is informed that there is a 10% chance that he will be hired by the prestigious Acme corporation. He believes that, give
Zina [12379]

Answer:

8% likelihood that Anthony may soon join the Acme golf team

Step-by-step explanation:

The probabilities are as follows:

10% chance of being hired by the corporation.

If hired, an 80% probability of making the golf team is expected.

Given this information, we can calculate the probability of Anthony soon playing on the Acme golf team as:

80% of 10%

Thus

P = 0.8*0.1 = 0.08

8% chance that Anthony will soon be part of the Acme golf team

4 0
2 months ago
Gael and Torin don't want to take the garbage out, but their mom said one of them had to. Gael suggests they flip 2 coins to det
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Possible outcomes:

Heads Heads

Heads Tails

Tails Tails

Tails Heads

Probability of matching: 2/4 = 0.5

Torin should consent since the suggestion is equitable

3 0
3 months ago
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