8. SOLAR SYSTEM The average distance Earth is from the Sun is about 9.296 × 107 miles, and the average distance Mars is from the Sun is about 1.4162 × 108. About how many times as far is Mars from the Sun as Earth is from the Sun? F 0.7 1 G 0.9 9. Write (8x) in radical form. A 8√√√x 10. Evaluate 125. F 5 H 1.3 J 1.5 8. B √8x C 8√8x D x√8 9. G 25 H 625 J 3125 10. 12. Which is the equation for the nth term of the geometric sequence 6, 12, 24, ...? Fan = 6.2" Gan = = 2.3n Han 3.2n = 13. Which equation represents exponential decay? = Ja 3.2"-112. A y = 0.5x³ B y = 0.5x² - х C y = 0.5(1.07) * D y = 0.5(.87)* 13. YA x = 14. 14. Which equation corresponds to the graph shown? Fy=3x+2 Gy=2(3 + 1) H y = 2(3x) Jy (2 3) +1 15. A weight lifter can deadlift 275 pounds. She can increase the weight W(x) that she can lift according to the function W(x) = 275(1.05)*, where x represents the number of training cycles completed. How much will she deadlift after 5 training cycles? A 334 lb B 369 lb Ο X C 344 lb D 351 lb 15. 16. POPULATION A city's population is about 763,000 and is increasing at an annual rate of 1.5%. Predict the population of the city in 50 years. F 1,335,250 G 826,830,628 H 358,374 J 1,606,300 16. 17. BUSINESS A printing press valued at $120,000 depreciates 12% per year. What will be the approximate value of the printing press in 7 years? A $19,200 B $265,282 C $49,041 D $55,728 17. -1 and an = J 12 18. Find the third term of the sequence in which if n ≥ 2. G -43 аз H -8 = 5α-1-3, n- 18. F-218 19. Find an explicit formula for a₁ = 10, a₁ = a -13, n ≥ 2. an A an = n - Ban = 10n ― 3 3 Can = −3n+ 10 Dan = −3n+13 20. Find a recursive formula for the arithmetic sequence 8, -2, -12, -22, ... . Fa₁ = 8, a₁ = -10a-1, n ≥ 2 1 an Ga₁ = 8, an = an-1 - 10, n ≥ 2 'n H α₁ = 8, a₁ = + 2, n ≥ 2 αι an 2n-1 - J a₁ = 8, an = 1½ ½ an - 1 − 6, n ≥ 2 Bonus Simplify 32n-1. (35n). B: 19. 20.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
ChapterP: Prerequisites
SectionP.4: Rational Exponents And Radical
Problem 5E
Question
8. SOLAR SYSTEM The average distance Earth is from the Sun is about
9.296 × 107 miles, and the average distance Mars is from the Sun is about
1.4162 × 108. About how many times as far is Mars from the Sun as Earth
is from the Sun?
F 0.7
1
G 0.9
9. Write (8x) in radical form.
A 8√√√x
10. Evaluate 125.
F 5
H 1.3
J 1.5
8.
B √8x
C 8√8x
D x√8
9.
G 25
H 625
J 3125
10.
12. Which is the equation for the nth term of the geometric sequence 6, 12, 24, ...?
Fan = 6.2"
Gan
=
= 2.3n
Han
3.2n
=
13. Which equation represents exponential decay?
=
Ja 3.2"-112.
A y = 0.5x³
B y = 0.5x²
-
х C y = 0.5(1.07) * D y = 0.5(.87)* 13.
YA
x
=
14.
14. Which equation corresponds to the graph shown?
Fy=3x+2
Gy=2(3 + 1)
H y = 2(3x)
Jy (2 3) +1
15. A weight lifter can deadlift 275 pounds. She can
increase the weight W(x) that she can lift according
to the function W(x) = 275(1.05)*, where x represents
the number of training cycles completed. How much
will she deadlift after 5 training cycles?
A 334 lb
B 369 lb
Ο
X
C 344 lb
D 351 lb
15.
16. POPULATION A city's population is about 763,000 and is increasing at
an annual rate of 1.5%. Predict the population of the city in 50 years.
F 1,335,250
G 826,830,628 H 358,374
J 1,606,300
16.
17. BUSINESS A printing press valued at $120,000 depreciates 12% per year.
What will be the approximate value of the printing press in 7 years?
A $19,200
B $265,282
C $49,041
D $55,728
17.
-1 and an
=
J 12
18. Find the third term of the sequence in which
if n ≥ 2.
G -43
аз
H -8
=
5α-1-3,
n-
18.
F-218
19. Find an explicit formula for a₁ = 10, a₁ = a -13, n ≥ 2.
an
A an
= n
-
Ban
=
10n
―
3
3
Can = −3n+ 10
Dan
= −3n+13
20. Find a recursive formula for the arithmetic sequence 8, -2, -12, -22, ... .
Fa₁ = 8, a₁ = -10a-1, n ≥ 2
1
an
Ga₁ = 8, an = an-1 - 10, n ≥ 2
'n
H α₁ = 8, a₁ = + 2, n ≥ 2
αι
an
2n-1
-
J a₁ = 8, an = 1½ ½ an - 1 − 6, n ≥ 2
Bonus Simplify 32n-1. (35n).
B:
19.
20.
Transcribed Image Text:8. SOLAR SYSTEM The average distance Earth is from the Sun is about 9.296 × 107 miles, and the average distance Mars is from the Sun is about 1.4162 × 108. About how many times as far is Mars from the Sun as Earth is from the Sun? F 0.7 1 G 0.9 9. Write (8x) in radical form. A 8√√√x 10. Evaluate 125. F 5 H 1.3 J 1.5 8. B √8x C 8√8x D x√8 9. G 25 H 625 J 3125 10. 12. Which is the equation for the nth term of the geometric sequence 6, 12, 24, ...? Fan = 6.2" Gan = = 2.3n Han 3.2n = 13. Which equation represents exponential decay? = Ja 3.2"-112. A y = 0.5x³ B y = 0.5x² - х C y = 0.5(1.07) * D y = 0.5(.87)* 13. YA x = 14. 14. Which equation corresponds to the graph shown? Fy=3x+2 Gy=2(3 + 1) H y = 2(3x) Jy (2 3) +1 15. A weight lifter can deadlift 275 pounds. She can increase the weight W(x) that she can lift according to the function W(x) = 275(1.05)*, where x represents the number of training cycles completed. How much will she deadlift after 5 training cycles? A 334 lb B 369 lb Ο X C 344 lb D 351 lb 15. 16. POPULATION A city's population is about 763,000 and is increasing at an annual rate of 1.5%. Predict the population of the city in 50 years. F 1,335,250 G 826,830,628 H 358,374 J 1,606,300 16. 17. BUSINESS A printing press valued at $120,000 depreciates 12% per year. What will be the approximate value of the printing press in 7 years? A $19,200 B $265,282 C $49,041 D $55,728 17. -1 and an = J 12 18. Find the third term of the sequence in which if n ≥ 2. G -43 аз H -8 = 5α-1-3, n- 18. F-218 19. Find an explicit formula for a₁ = 10, a₁ = a -13, n ≥ 2. an A an = n - Ban = 10n ― 3 3 Can = −3n+ 10 Dan = −3n+13 20. Find a recursive formula for the arithmetic sequence 8, -2, -12, -22, ... . Fa₁ = 8, a₁ = -10a-1, n ≥ 2 1 an Ga₁ = 8, an = an-1 - 10, n ≥ 2 'n H α₁ = 8, a₁ = + 2, n ≥ 2 αι an 2n-1 - J a₁ = 8, an = 1½ ½ an - 1 − 6, n ≥ 2 Bonus Simplify 32n-1. (35n). B: 19. 20.
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