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Firlakuza [10]
2 years ago
9

A circle has a diameter of 26 units. What is the area of the circle to the nearest hundredth of a square unit.

Mathematics
1 answer:
iris [78.8K]2 years ago
7 0

9514 1404 393

Answer:

  530.93 square units

Step-by-step explanation:

The area of a circle in terms of diameter can be found by ...

  A = (π/4)d²

  A = 3.14159/4×26² ≈ 530.929

Rounded to hundredths, the area of the circle is 530.93 square units.

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If f(x) = x2 + 1 and g(x) = x - 4, which value is equivalent to (f•g)(10)?
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First you plug 10 into g(x)

(10-4)

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Next you plug in 6 into f(x)

6^2+1

36+1

=37

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3. The table shows the number of hours that a grouped of students spent studying for the SAT during their first week of preparat
laiz [17]
The answer is the mean, mode, and median increases by 4, the range of times is the same.

Week 1:                                              Week 2:
Student - Hours                                 Student - Hours<span>
Bob          19                                       </span>Bob          23<span>
James      10                                      </span>James       14<span>
Karen       15                                       </span>Karen       19<span>
Rosario    17                                        </span>Rosario    21<span>
Antoine    10                                       </span>Antoine    14<span>
Julio         16                                       </span>Julio         20<span>
Maria        13                                       </span>Maria        17<span>

The mean is the sum of all values divided by the number of values:
Week 1: (19 + 10 + 15 + 17 + 10 + 16 + 13)/7 = 100/7 = 14.28
Week 2: (23 + 14 + 19 + 21 + 14 + 20 + 17)/7 = 128/7 = 18.28
The difference in means between Week 2 and Week 1 is 4 (18.28 - 14.28 = 4)

The median is the middle value. To calculate, first rearrange values from the lowest to the highest and then find the middle value:
Week 1: 10, 10, 13, 15, 16, 17, 19            - The median is 15.
Week 2: 14, 14, 17, 19, 20, 21, 23          - The median is 19.
The difference in medians between Week 2 and Week 1 is 4 (19 - 15 = 4)

The mode is the value that occurs most frequently.
</span>Week 1: 10, 10, 13, 15, 16, 17, 19            - The mode is 10.
Week 2: 14, 14, 17, 19, 20, 21, 23          - The mode is 14.
The difference in modes between Week 2 and Week 1 is 4 (14 - 10 = 4)

The range of times is the difference between the highest and the lowest value.
Week 1: 10, 10, 13, 15, 16, 17, 19            - The range of times is 9 (19 - 10 = 9).
Week 2: 14, 14, 17, 19, 20, 21, 23          - The median is 9 (23 - 14 = 9).
The difference in the ranges of times between Week 2 and Week 1 is 0 (9 - 9 = 0)
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Hey there!

When multiplying variables with the same degree, be sure to add the two degrees being multiplied.

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Now that we've broken down what we are doing, let's apply this new knowledge to your problem.

(x^3)(x^-2); Remember to just add the degrees; -2 + 3 = 1
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I hope this helps!
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3 years ago
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