What is the approximate area of the shaded sector in the circle shown below? A) 26.5 cm^2 B) 11.78 cm^2 C) 5.89 cm^2 D) 53.0 cm^2
Answers
Step-by-step explanation:
Please recheck and possibly resend question as there is no circle shown.
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Answers
The sum of the geometric progression up to the 6th term is 512/7
To find the sum of a geometric series, you can use the formula for the sum of a finite geometric series:
Where:
- Sₙ is the sum of the first n terms of the series.
- a is the first term of the series.
- r is the common ratio.
- n is the number of terms in the series.
In your case, you have the geometric series: 16, 2, 1/4, ...
1. Identify the values for the formula:
- The first term (a) is 16.
- The common ratio (r) is found by dividing the second term by the first term: 2/16 = 1/8.
- You want to find the sum of the first 6 terms (n = 6).
2. Plug these values into the formula and calculate S₆:
S₆ = (16(1 - (1/8)⁶))/(1 - 1/8)
Now, calculate the individual terms in the formula:
S₆ = (16(1 - 1/262144))/(7/8)
S₆ = (16(262143/262144))/(7/8)
S₆ = ((4194288/262144)/(7/8)
Now, perform the division:
S₆ = (4194288/262144) \* (8)/(7)
S₆ = 64 * 8/7
Now, multiply:
S₆ = 512/7
So, the sum of the geometric progression up to the 6th term is 512/7
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The area of circle D is 36Pi centimeters squared.
The area of circle D is 324Pi centimeters squared
The area of the circle depends on the square of pi.
The area of the circle depends on the central angle.
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Answer:
The ratio of the measure of central angle PQR to the measure of the entire circle is 1/8
The area of the shaded sector depends on the length of the radius.
The area of the shaded sector depends on the area of the circle.
Step-by-step explanation:
5 to the power of 1 over 6
5 to the power of 2 over 3
5 to the power of 7 over 6
Answers
Answer:
5 to the power of 5 over 6 =
Step-by-step explanation:
1)Let's define some properties about exponent:
For example :
2)Another property of exponent is :
For example :
This means that when we have two exponential functions with the same base that are multiplying between them, we can sum the exponents in order to make a new exponential function with the same base.
Using this two properties we can solve the problem.
- The expression is:
- Using the two properties :
Now,
Therefore, the final expression is
⇒
The correct answer is :
5 to the power of 5 over 6.
75/5= 15
75÷5= 25
75÷5= 70
Answers
The correct quotient of 75 divided by 5 is 15.
When you divide 75 by 5, you are essentially asking how many times 5 can be evenly divided into 75. To find the quotient, you divide 75 by 5:
75 ÷ 5 = 15
This means that 5 can be divided into 75 exactly 15 times.
Therefore, the quotient is 15.
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Answer: the second one
Step-by-step explanation:
75/5 = 15
B $300,000
C $430,000
D $3,400,000
Answers
50,000=0.05s+30,000
20,000=0.05s
400,000=s
60,000=0.05s+30,000
30,000=0.05s
600,000=s
since E is in-between $50,000 and $60,000, s is in between 400,000 and 600,000, which is the domain. C is the answer.
Hope this helps.
Answers
Answer:
a) y = 1500 * 3^x
Step-by-step explanation:
This equation indicates that the number of songs available, y, is equal to the initial number of songs (1500) multiplied by 3 raised to the power of the number of years, x. This reflects the expectation that the collection of songs will triple each year.