7. Suppose you earned 7t – 1 dollars on Monday and 8t + 5 dollars on Tuesday. What were your total earnings? Simplify your answer. (1 point)
–t + 4 dollars
–t – 6 dollars
15t – 6 dollars
15t + 4 dollars
8. f 2 ∙ f 3 (1 point)
f 5
f 6
(2f)5
(2f)6
9. 144^14 over 144^2 (1 point)
14416
14412
14428
144^14 over 2
10. equation (1 point)
equation
x48
x19
x13
11. Which of the following expressions is true? (1 point)
43 • 44 = 412
52 • 53 > 55
32 • 35 = 310
52 • 54 < 58
12. Which of the following expressions is true? (1 point)
83 • 82 < 84
44 • 44 = 416
22 • 26 < 28
33 • 33 > 35
For questions 13 and 14, write the value of the expression.
13. equation (1 point)
1
4
5
0
14. equation (1 point)
one over twenty-seven
one over nine
9
–27
For questions 15 and 16, multiply. Write the result in scientific notation.
15. (1.8 • 101)(7 • 105) (1 point)
1.26 • 107
8.8 • 106
8.8 • 105
1.26 • 106
16. (1.7 ∙ 10–4)(5 ∙ 10–5) (1 point)
8.5 ∙ 10–9
8.5 ∙ 1020
6.7 ∙ 10–9
6.7 ∙ 1020
For questions 17–21, simplify the expression.
17. 8t5 ∙ 8t5 (1 point)
64t25
64t10
16t10
16t5
my answers
7.d
8.a
9.b
10.d
11.d
12.d
13.a
14.a
15.a
16.a
17.b
Dear lord...
#10.x^13/x^2
#11.B?
#13.2^3/2^3
#14.4^7/4^9
sorry i forgot to write the equations i was rushing myself. @oobleck
7. To find the total earnings, you need to add the earnings from Monday and Tuesday. The earnings on Monday are given by the expression 7t - 1 dollars, and the earnings on Tuesday are given by the expression 8t + 5 dollars. To simplify, you add the like terms:
Earnings on Monday: 7t - 1 dollars
Earnings on Tuesday: 8t + 5 dollars
Total earnings = (7t - 1) + (8t + 5)
= 7t + 8t + (-1) + 5 (Combine like terms)
= 15t + 4 dollars
So, the answer is 15t + 4 dollars. Therefore, the correct answer is 15t + 4 dollars.
8. To multiply the numbers f2 and f3, you need to apply the rule of exponents. When multiplying numbers with the same base, you add the exponents together. In this case, f2 and f3 have the same base 'f'. Therefore, you can add the exponents:
f2 ∙ f3 = f(2+3) = f5
So, the answer is f5. Therefore, the correct answer is f5.
9. To simplify the expression (144^14)/(144^2), you apply the rule of exponents. When dividing numbers with the same base, you subtract the exponents:
(144^14)/(144^2) = 144^(14-2)
= 144^12
So, the answer is 144^12. Therefore, the correct answer is 144^12.
10. The term "equation" is not an answer choice, so we can eliminate that option. The question is asking for an equation, which means an expression that is equivalent on both sides of the equal sign. None of the answer choices satisfy this requirement. Therefore, none of the given options are correct.
11. To determine which of the given expressions is true, we can evaluate each expression.
43 • 44 = 4 * 3 * 4 * 4 = 192
52 • 53 = 5 * 2 * 5 * 3 = 150
32 • 35 = 3 * 2 * 3 * 5 = 90
52 • 54 = 5 * 2 * 5 * 4 = 200
Out of these options, the only true statement is:
52 • 53 > 55
So, the correct answer is 52 • 53 > 55.
12. Following the same approach, we can evaluate each expression.
83 • 82 = 8 * 3 * 8 * 2 = 384
44 • 44 = 4 * 4 * 4 * 4 = 256
22 • 26 = 2 * 2 * 2 * 2 * 2 * 6 = 96
33 • 33 = 3 * 3 * 3 * 3 = 81
The only true statement is:
33 • 33 > 35
So, the correct answer is 33 • 33 > 35.
13. The equation is not provided, so it is impossible to determine the value. Therefore, the correct answer is "cannot be determined".
14. Similar to the previous question, the equation is not provided, so it is impossible to determine the value. Therefore, the correct answer is "cannot be determined".
15. To multiply (1.8 • 101) and (7 • 105), you multiply the decimal parts and add the exponents of the powers of 10:
(1.8 • 101)(7 • 105) = (1.8 * 7) • 10(1+5) = 12.6 • 10^6
So, the answer is 12.6 • 10^6. Therefore, the correct answer is 1.26 • 107.
16. To multiply (1.7 • 10–4) and (5 • 10–5), you multiply the decimal parts and add the exponents of the powers of 10:
(1.7 • 10–4)(5 • 10–5) = (1.7 * 5) • 10(-4-5) = 8.5 • 10^-9
So, the answer is 8.5 • 10^-9. Therefore, the correct answer is 8.5 • 10–9.
17. To simplify the expression 8t5 • 8t5, you multiply the coefficients and add the exponents:
8t5 • 8t5 = 8 * 8 * t(5+5) = 64t^10
So, the answer is 64t^10. Therefore, the correct answer is 64t^10.
still no equations
#10.x^13/x^2 = x^11
#11B ok
#13.2^3/2^3 = 2^0 = 1
#14.4^7/4^9 = 4^-2 = 1/4^2
#7 ok
#8 If those are supposed to be powers, then you are correct
#9 ok if powers
#10 no equation
#11 you're kidding, right? You do know that "<" means "less than"?
#12 ok
#13,#14 no equation
#15 ok -- try to use ^ for powers, ok?
#16 ok
#17 ok
good work, though sometimes hard to read.