Rewrite the expression using the indicated property of real numbers.Distributive property:
3(4 + 5)
A. 3 ? 4 + 3 ? 5
B. (4 + 5)(3)
C. (3 + 4) + (3 + 5)
D. 3 ? 4 + 5
Answer: A
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Evaluate the integral.
A. 10i + 6 ln 2j + (1 + 
)k
B. 10i + 6 ln 2j + (1 - 
)k
C. -6i + 6 ln 2j + (1 - 
)k
D. 10i + 6 ln 2j + 
k
Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.log7(7x)
A. x B. 1 + log7x C. 1 D. 7
Provide an appropriate response.A shipment of 20 digital cameras contains two that are defective. A random sample of three is selected and tested. Let X be the random variable associated with the number of defective cameras in a sample. Find the probability distribution of X and the expected number of defective cameras in a sample.
What will be an ideal response?
Solve the problem.The function A = Aoe-0.0099x models the amount in pounds of a particular radioactive material stored in a concrete vault, where x is the number of years since the material was put into the vault. If 200 pounds of the material are placed in the vault, how much time will need to pass for only 41 pounds to remain?
A. 165 years B. 170 years C. 160 years D. 320 years