Test 3 Need ASAP
1. Determine whether the number is rational or irrational.
3.789778977789 ...3.789778977789...
rational or irrational?
2. √98= (Round to two decimal places as needed.)
3. The period T of a pendulum is the time it takes to move from one side to the other and back. A formula for the period T=2Π √L/32 where T is in seconds and L is in feet. Use 3.14 for Π
Find the period of a pendulum of length 18 feet.
The period of a pendulum of length 18 feet is Seconds. (Type a decimal.)
4. Evaluate the expression
−42 = (Type an integer or a fraction.)
5. 50= (Simplify your answer. Type an integer or a decimal.)
6. Use the rules for exponents to first rewrite the following expression and then evaluate the new expression.
(42 ) −2 (Simplify your answer. Type an integer or a fraction.)
46
=
43
(Type an integer or a fraction.)
8. Write the following number in scientific notation.
16,920,000= (Use the multiplication symbol in the math palette as needed.)
9. Use scientific notation to perform the following operations. Write the answer in scientific notation.
7.7 X 10−5=
10. Use scientific notation to perform the following operations. Write the answer in scientific notation.
(5.7616X102)(4.85X10-4)
(1.04X103)
(Use scientific notation. Use the multiplication symbol in the math palette as needed.)
11. A spacecraft is traveling from one planet to another with a distance traveled of 289,000 miles. If a spacecraft travels at a speed of 20,000 mph, how many hours would the spacecraft need to travel from one planet to the other? Use distance = rate times ×time and use scientific notation to solve the problem. Write your final answer as a decimal number.
Please work the problem out
12. Is the sequence arithmetic or geometric?
1, 1/8,1/64,1/512 what the next two fraction ,
13. Identify the sequence as either arithmetic or geometric. List the next two terms of the sequence.
5, -2, -9, -16
Is the sequence arithmetic or geometric?
14. For the following arithmetic sequence, find the sum of the terms from a12 to a19 inclusive. Use the sum formula for arithmetic sequences.
2, 6, 10, 14
Please show work for this problem
15. For the following geometric sequence, find a8.
5, 1, 1/5, 1/25
A8= (Type an integer or a simplified fraction.)