Integrate the function.
, x > 7
A. + C
B. - + C
C. - + C
D. + C
Answer: B
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Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions.log x + log(x2 - 144) - log 7 - log(x - 12)
A. log
B. log
C. log
D. log
Determine algebraically whether the function is even, odd, or neither even nor odd.f(x) = 4x - 6
A. Neither B. Odd C. Even
Solve the problem.The number of bacteria growing in an incubation culture increases with time according to where t is time in days. Find the number of bacteria when
and
.
A. 6900; 172,500 B. 6900; 69,000 C. 6900; 21,562,500 D. 34,500; 172,500
Use the fact that the quantity of a radioactive substance after t years is given by , where
is the original amount of radioactive material and k is its half-life (the number of years it takes for half the radioactive substance to decay). The half-life of carbon-14 is 5,600 years. Find the amount of carbon-14 remaining after 8,000 years if
src="https://sciemce.com/media/3/ppg__cognero__Chapter_00_Algebraic_Concepts__media__b1c3d0cf-1972-465c-8704-797aabfd62a9.PNG" class="wirisformula" align="middle" style="vertical-align: middle;" data-wiris-created="true" varid="variable_id_field" variablename="impvar_5aee58072a364207822d3225a" />. Round your answer to four decimal places if required. ? A. 24.9307 g B. 65.7924 g C. 0.0019 g D. 15.0457 g E. 20.25 g