# Jessica Maths

Most popular questions and responses by Jessica Maths
1. ## Pre Calculus

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.)

2. ## Pre Calculus

The population P of a culture of bacteria is described by the equation P = 1600e^0.052t where t is time, in hours, relative to the time at which the population was 1600. (a) What was the population at t = 6 hours? Show your work. (b) After how many hours

3. ## Pre Calculus

Evaluate the function f(x) = log3 x at x =1/27 without using a calculator a. –4 b. –2 c. 1/27 d. –3 e. 27

4. ## Pre Calculus

Tritium, a radioactive isotope of hydrogen, has a half-life of 12.4 years. Of an initial sample of 69 grams, how much will remain after 75 years? a. 1.5848 grams b. 61.5289 grams c. 0.0000 grams d. 1.0426 grams e. 17.2500 grams

5. ## Pre Calculus

Find the value of x. log4 65,536 = x a. x = 32,768 b. x=8 c. x = 65,536 d. x=4

7. ## Pre Calculus

Assume that x, y, and b are positive numbers. Use the properties of logarithms to write the expression logb ^8xy in terms of the logarithms of x and y. a. logb^8 + logb x + logb^y b. logb^8+logbx c. logb^8+logby d. logb^8 + log8 x + log8^y e. logb^8+log8xy

8. ## Pre Calculus

Determine two coterminal angles (one positive and one negative) for θ = −503°. a. 217°,− 323° b. 217°, − 143° c. 307°, − 413° d. 127°, − 323° e. 127°, − 233°

9. ## Pre Calculus

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 constant and equals 9% per year, how long will it take the population of the town to triple? a. 6 . 6 years b. 1 years c. 5 . 3

10. ## Pre Calculus

Simplify the expression. log3 36 a. 6 b. 36 c. 3 d. 18 e. none of these

11. ## Pre Calculus

Simplify the expression. 9 log 9 2 This is 9 to the power of log base 9 of 2 a. 2 b. 18 c. 4 d. 9 e. none of these

12. ## Pre Calculus

Write the equation 5^2= 25 in logarithmic form. a. log255=2 b. log25=25 c. log52=25 d. log225=5 e. log525=2

13. ## Pre Calculus

Perform the operation shown below and leave the result in trigonometric form. [8(cos10° + i sin10°)] [5(cos 200° + i sin 200°)]

14. ## Pre Calculus

Multiply; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent. (sin x + cos x) ^2 a. 1+2sinxcosx b. sec^2x−tan^2x+2cosxsinx c.sec x + 2 sin x/sec x d. sin^2x+cos^2x e. 1+2cos (pi / 2 -

15. ## Pre Calculus

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

16. ## Pre Calculus

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 the logarithms of x and y. a. 9logbx+9logby b. 19 l o g b ( x + y ) c. 19 l o g b x + l o g b y d. logbx+logby e. 19 l o g b x +

17. ## pre calculus

Use the half-angle formula to simplify the given expression. squareroot 1+cos12x/2

18. ## Pre Calculus

Use the sum-to-product formulas to find the exact value of the given expression. sin 150° + sin 30°

19. ## Pre Calculus

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. –0.0232

20. ## Pre Calculus

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 the logarithms of x and y. a. 42loga^x+y b. 42loga^x+7loga^y c. 6loga^ x + 42loga^ y d. 6loga^x+7loga^y e. 6loga^x+6loga^y

21. ## Pre Calculus

22. Solve the equation. 2x = 5 a. x = 0.5541 b. x = 5.8628 c. x = 2.3219 d. x = 1.4307 e. x = 1.6652

22. ## Pre Calculus

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

23. ## Pre Calculus

Can you give me an example of properties of functions in a real life example?

24. ## Pre Calculus

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 !@#\$%^&)=r

25. ## Pre Calculus

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 sketch a graph of this rational function.

1. ## math

I guess that's what they did too as I had the same question and made the same mistake

posted on July 11, 2016
2. ## math

sorry I did 7+1

posted on July 11, 2016
3. ## Pre Calculus

so I got cos(u+v)=204/325 is this correct?

posted on July 11, 2016
4. ## pre calculus

is it cos12x?

posted on July 11, 2016
5. ## Pre Calculus

Sorry, I have figured out this one but cannot figure out this one Use the sum-to-product formulas to write the given expression as a product. sin 4θ − sin 2θ Could you help me with this one instead please?

posted on July 11, 2016
6. ## AP Chemistry

DrBob222 please could you help me with this? Can you explain to me how to answer it?

posted on July 7, 2016
7. ## AP Chemistry

I think that the reaction is spontaneous because no outside force is required for it to take place. Is this correct? I'm not sure about the other two parts to the question. Can you help me?

posted on July 7, 2016
8. ## Pre Calculus

No I'm just not sure how to enter that into my calculator

posted on July 6, 2016