Answer:
a) 6 gigabytes
b) $100
Step-by-step explanation:
Let c represent the total cost in dollars and d represent the amount of data used in gigabytes.
For the first smartphone
One smartphone plan costs $52 per month for talk and messaging and $8 per gigabyte of data used each month.
Equation =
c = 52 + 8d
For the Second smartphone
A second smartphone plan costs $82 per month for talk and messaging and $3 per gigabyte of data used each month.
Equation =>
c = 82 + 3d
How many gigabytes would have to be used for the plans to cost the same?
We would equate both cost to each other
52 + 8d = 82 + 3d
Collect like terms
8d - 3d = 82 - 52
5d = 30
d = 30/5
d = 6
Therefore,
a) The number of gigabytes for the cost of both Smartphone data plans to be the same = 6 gigabytes.
b) The cost of both plans if 6 gigabytes is used =>
c = 52 + 8d
c = 52 + 8 × 6
c = $100
Answer:
0.99
Step-by-step explanation:
cos(arcsin(5/30)) = 0.98601 ≈ 0.99
Answer:
9.765625×10^6
Step-by-step explanation:
Simplify the following:
5^2×5^9/5
Hint: | Express 5^2×5^9/5 as a single fraction.
5^2×5^9/5 = (5^2×5^9)/5:
(5^2×5^9)/5
Hint: | For all exponents, a^n/a^m = a^(n - m). Apply this to (5^2×5^9)/5.
Combine powers. (5^2×5^9)/5 = 5^(9 + 2 - 1):
5^(9 + 2 - 1)
Hint: | Evaluate 9 + 2.
9 + 2 = 11:
5^(11 - 1)
Hint: | Subtract 1 from 11.
| 1 | 1
- | | 1
| 1 | 0:
5^10
Hint: | Compute 5^10 by repeated squaring. For example a^7 = a a^6 = a (a^3)^2 = a (a a^2)^2.
5^10 = (5^5)^2 = (5×5^4)^2 = (5 (5^2)^2)^2:
(5 (5^2)^2)^2
Hint: | Evaluate 5^2.
5^2 = 25:
(5×25^2)^2
Hint: | Evaluate 25^2.
| 2 | 5
× | 2 | 5
1 | 2 | 5
5 | 0 | 0
6 | 2 | 5:
(5×625)^2
Hint: | Multiply 5 and 625 together.
5×625 = 3125:
3125^2
Hint: | Evaluate 3125^2.
| | | 3 | 1 | 2 | 5
× | | | 3 | 1 | 2 | 5
| | 1 | 5 | 6 | 2 | 5
| | 6 | 2 | 5 | 0 | 0
| 3 | 1 | 2 | 5 | 0 | 0
9 | 3 | 7 | 5 | 0 | 0 | 0
9 | 7 | 6 | 5 | 6 | 2 | 5:
Answer: | 9765625 = 9.765625×10^6
Hello!
Sadly no, vertical asymptotes are determined by setting the denominator of a rational function to zero and then by solving for x.
