Q and A for the topic: General

Find the value x which satisfies the following simultaneous equations: 2x + 5y = 18 3x + 4y = 20

The ratio of 294 students to the total number is 3:8. What is the total number

The ratio of 294 students to the total number is 3:8. Find the total number

On level ground a shell is fired with an initial velocity of 54 m/s at 3.37° above the horizontal and feels no appreciable air resistance. How far from its firing point does the shell land?

A plot of ground in the shape of a circular sector (a wedge of pie) is to have a border of roses along the straight lines and tulips along the circular arc. Roses cost 20$/meter; tulips cost 15$/meter. If the area of the plot is to be 100 square meters, what is the least the flower can cost?

A cylinder has a total area of 602.88 m and a lateral area of 376.8 m. Calculate the base area and radius.

Benjamin bought tokens at a funfair. He used 3/8 of them at the ring-toss booth and 2/5 of the remaining tokens at the darts booth. He then bought another 35 tokens and had 10 tokens more than what he had at first. How many tokens did Benjamin have at first?

(x³ - 5x² -x + 4)²

3+3

Calculate ∬_RdA where R is the region bounded in the first quadrant by y^2=x^3 and the line y=x.

4. Calculate the enthalpy change of the following reaction between nitrogen gas and oxygen gas, given the thermochemical equations below: 2N2(g) + 5O2(g) → 2N2O5(g) 1) 2H2(g) + O2(g) → 2H2O(l) ΔH° = -572 kJ 2) N2O5(g) + H2O(l) → 2HNO3(l) ΔH° = -77 kJ 3) 1/2N2(g) + 3/2O2(g) + 1/2H2(g) → HNO3(l) ΔH° = -174 kJ Show the calculations

There are two mutually exclusive investment projects available to you. Project A achieves an internal rate of return of 7.35%. Project B requires an initial payout of CHF 4,200 and produces a deposit of CHF 5,600 at the end of its useful life (4 years). In addition, for project B you have to pay a bolting fee of CHF 300, which is due at the end of the useful life. The calculation interest rate is 8.00% pa. What is the internal interest rate of Project B? And which project is preferable based on the internal interest rate?

A triathlete competes in a triathlon in which the swimming, biking, and running segments are all of the same length. The triathlete swims at a rate of 2.5 kilometers per hour, bikes at a rate of 18 kilometers per hour, and runs at a rate of 9.2 kilometers per hour. What is the triathlete's average speed, in kilometers per hour, for the entire race?

A triathlete competes in a triathlon in which the swimming, biking, and running segments are all of the same length. The triathlete swims at a rate of 2.5 kilometers per hour, bikes at a rate of 18 kilometers per hour, and runs at a rate of 9.2 kilometers per hour. What is the triathlete's average speed, in kilometers per hour, for the entire race?

given the sets A=[x:x>-3] B=[-4,0) and C=[0,2] determine the following sets and represent them on the real line a AUB, b BUC, c AUC, d AUBUC

The average grade in a statistics course has been 71, with a standard deviation of 10.5. If a random sample of 60 is selected from this population, what is the probability that the average grade is more than 75?

2x + 3y = 9 4x + 6y = 15

Let u,v,w ∈ R3 be an LI set. Is u+v+w,u+wv,uw also an LI set?

If f(x) =2x-1 and g(x)=5x+1 find f(3)

If f(x)=2x-1 and g(x)=5x +1 find g-1(x)