2nd term: 3+8
= 11
3rd term: 11+8
= 19
4th term: 19+8
= 27
5th term: 27+8
= 35
OR
((n-1)x8)+3
Answer:
2. 10
3. D. 1 for all n
Step-by-step explanation:
2. The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
a^b = 1/a^-b
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The value of n is 10.
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3. Using the above rules of exponents, the expression simplifies to ...
6^(-n+n) = 6^0 = 1
The value is 1 for any n.
Answer:
Arc AC = 90°
Step-by-step explanation:
Postulate:
The measure of an arc will ALWAYS be equal to the measure of the central angle of the circle.
The angle of arc AC is marked with a square.
That square mark means it is 90°.
So the arc would also measure 90°.
Cheers
Answer:
Number of nickels = 5
Number of dimes = 10
Number of quarters = 8
Step-by-step explanation:
Fernando has a total of nickels + dimes + quarters = 3.25$
Let the number of nickels = x
Then x(.05) + dimes(.10) + quarters(0.25) = 3.25------(1)
He has twice as many dimes as nickels
dimes = 2×nickels
dimes = 2x--------(2)
He has 3 more quarters than nickels
quarters = nickels +3
quarters = x +3------(3)
From equations 1, 2, and 3.
x(.05) + 2x(.10) + (x + 3)(.25) = 3.25
.05x + 0.2x + 0.25x + .75 = 3.25
5x + 20x + 25x + 75 = 325
50x = 325 - 75
50x = 250
x = 5
Therefore the number of nickels are 5
from equation 2 number of dimes are 10
and from equation 3 number of quarters are 8.
