Algebra Answers

Find the approximate value of ³√0.99 up to 4 decimal places.

(i) If 4𝑒 𝑥 − 3𝑒 −𝑥 ≡ 𝑃𝑠𝑖𝑛ℎ 𝑥 + 𝑄𝑐𝑜𝑠ℎ 𝑥, determine the values of 𝑃 and 𝑄. (ii) Solve the equation 𝑐𝑜𝑠𝑒𝑐ℎ 𝑦 = −0.4458, correct to 4 significant figures

$10 for 8 drinks

A long-distance runner runs the first kilometre of a race in 3 minutes 45 seconds but finds that his speed drops steadily such that each kilometre takes him 12 seconds more than the preceding one. Find his time (in minutes and seconds) for the 11th kilometre.

what is the given the equation x+y=6 and the assigned values for x, find the value of y.

A ball is dropped from a height of 3 m. After each bounce, it rises to 85% of its previous height. What is the total distance that the ball has travelled when it comes to rest?

An insurance representative made RM30 000 her first year and RM60 000 her seventh year. Assume that her annual salary figures form an arithmetic sequence and predict what she will make in her tenth year.

A grocery store used to sell bulk chocolate cookies for $0.65 for 100g. The price increased by $0.65 four 100g. What Is the new price for 400g of bulk chocolate chip cookies

A grocery store used to sell bulk chocolate cookies for $0.65 for 100g. The price increased by $0.65 four 100g. What Is the new price for 400g of bulk chocolate chip cookies

4. Consider the functions f(x) = x

2 + 1 and g(x) = 1

x

, evaluate (g ◦ f)(−

1

2

)