Find the volume under the surface z = f(x,y) and above the rectangle with the given boundaries.z = 8x + 4y + 7; R = {(x, y): 0 ? x ? 1, 1 ? y ? 3}

A. 38
B. 36
C. 26
D. 28


Answer: A

Mathematics

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Letting r stand for "The food is good," p stand for "I eat too much," and q stand for "I'll exercise," write the following in symbolic form.If the food is not good, I won't eat too much.

A. r ? ~p B. ~(r ? p) C. ~r ? ~p D. ~p ? ~r

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Find the difference. - 

A.
B. - 
C. - 
D. - 

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Determine the slope and y-intercept for the equation.2x - 5y = 2

A. slope: m = ; y-intercept: b = - 
B. slope: m = 2; y-intercept: b = 2
C. slope: m = ; y-intercept: b = 
D. slope: m = ; y-intercept: b = 

Mathematics

The concentration of a drug in an organ at any time t (in seconds) is given by  where  is measured in grams/cubic centimeter

src="https://sciemce.com/media/3/ppg__cognero__5.2_Logarithmic_Functions__media__129e9bd3-5f7e-4095-814f-e67c7afe71f0.PNG" style="vertical-align:middle;" />. How long would it take for the concentration of the drug in the organ to reach 0.19?

Please round the answer to two decimal places.


A.  sec
B.  sec
C.  sec
D.  sec
E.  sec

Mathematics