Write the system of equations associated with the augmented matrix. Do not solve.
A. x = 3
y = 5
z = 8
B. x = -3
y = -5
z = -8
C. x = 5
y = 3
z = 0
D. x = 0
y = -8
z =-11
Answer: B
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The period P, in years, of a planet is the time it takes to make a single orbit of the sun. The period is related to the distance D from the sun by the formula
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A: Neptune is 30 times as far from the sun as Earth. How long does it take Neptune to make a single orbit around the sun?B: The period of Mercury is 88 days. Express the period of mercury in terms of years.C: The Earth is 93 million miles from the sun. Use your answer to part B to determine how far Mercury is from the sun.
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Round your answers to two decimal places if necessary.
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What will be an ideal response?
A student working for a delivery company earns $81.25 per day plus $4.75 for each package she delivers. How many deliveries must she make each day to earn $200 a day?
A. 27 deliveries B. 25 deliveries C. 26 deliveries D. 22 deliveries E. 21 deliveries
Provide an appropriate response.Which of the following statements defines f(x) = ??I. For every positive real number B there exists a corresponding positive real number N such that f(x) > B whenever x > N.II. For every positive real number B there exists a corresponding negative real number N such that f(x) > B whenever x < N.III. For every negative real number B there exists a corresponding negative real number N such that f(x) < B whenever x < N.IV. For every negative real number B there exists a corresponding positive real number N such that f(x) < B whenever x > N
A. I B. IV C. III D. II
Evaluate the expression without using a calculator.log101000
A. -3
B.
C. 30
D. 3