Questions and answers by

Jessica Maths

Questions (24)

Perform the operation shown below and leave the result in trigonometric form.[8(cos10° + i sin10°)] [5(cos 200° + i sin
1. 3 answers
2. 1,052 views
Find the exact value ofcos (u+v) given that sin u= 7/25 and cos v=−12/13. (Both u and v are in Quadrant II.)
1. 3 answers
2. 4,276 views
Multiply; then use fundamental identities to simplify the expression below and determine which of the following is not
1. 1 answer
2. 2,139 views
Use the sum-to-product formulas to find the exact value of the given expression.sin 150° + sin 30°
1. 2 answers
2. 1,014 views
Determine the quadrant in which an angle, θ, lies if θ = 5.40 radians.a. 4th quadrant b. 3rd quadrant c. 2nd quadrant d. 1st
1. 2 answers
2. 3,036 views
Determine two coterminal angles (one positive and one negative) for θ = −503°.a. 217°,− 323° b. 217°, − 143° c.
1. 1 answer
2. 2,107 views
The population P of a culture of bacteria is described by the equation P = 1600e^0.052twhere t is time, in hours, relative to
1. 2 answers
2. 1,914 views
Write the equation 5^2= 25 in logarithmic form.a. log255=2 b. log25=25 c. log52=25 d. log225=5 e. log525=2
1. 1 answer
2. 822 views
Use a calculator to find the value for log0.94769 to four decimal places.a. –0.0536 b. –0.9767 c. 0.9767 d. 0.0232 e.
1. 2 answers
2. 396 views
Find the value of x. log4 65,536 = xa. x = 32,768 b. x=8 c. x = 65,536 d. x=4
1. 1 answer
2. 968 views
16. Use a calculator to find a value for ln16.1 to four decimal places.a. 2.7788 b. –2.7788 c. –1.2068 d. 5.0814 e. 1.2068
1. 1 answer
2. 546 views
17. population growing at an annual rate r will triple in a time t given by the formula t = ln 3/r If the growth rate remains
1. 1 answer
2. 1,510 views
Assume that x, y, and b are positive numbers. Use the properties of logarithms to write the expression logb ^8xy in terms of the
1. 0 answers
2. 906 views
Assume that x, y and a are positive numbers. Use the properties of logarithms to write the expression loga x ^6y ^7 in terms of
1. 1 answer
2. 892 views
22. Solve the equation. 2x = 5a. x = 0.5541 b. x = 5.8628 c. x = 2.3219 d. x = 1.4307 e. x = 1.6652
1. 1 answer
2. 311 views
Simplify the expression. log3 36a. 6 b. 36 c. 3 d. 18 e. none of these
1. 1 answer
2. 400 views
Simplify the expression. 9 log 9 2This is 9 to the power of log base 9 of 2 a. 2 b. 18 c. 4 d. 9 e. none of these
1. 0 answers
2. 768 views
Tritium, a radioactive isotope of hydrogen, has a half-life of 12.4 years. Of an initial sample of 69 grams, how much will
1. 1 answer
2. 1,100 views
Evaluate the function f(x) = log3 x at x =1/27 without using a calculatora. –4 b. –2 c. 1/27 d. –3 e. 27
1. 1 answer
2. 2,342 views
Identify the x-intercept of the function f(x) = 2 ln(x-3).a. x=3 b. x=0 c. x=2 d. x=4 e. The function has no x-intercept
1. 1 answer
2. 872 views
Assume that x, y, and a are positive numbers. Use the properties of logarithms to write the expression log a 9 xy in terms of
1. 2 answers
2. 1,164 views
Can you give me an example of properties of functions in a real life example?
1. 0 answers
2. 409 views
Write f(x) =x^3-11x^2+18x+32 in the form f(x)= (x-k) q (x) +r when k=6 + (square root)6, and demonstrate that f(k)=r
1. 3 answers
2. 388 views
a. Identify the horizontal asymptotes of the function f(x)=x+6 / |x|+1( / = divided by/over) b. Make a summary of how you may
1. 1 answer
2. 489 views