Dominic and his partner lift weights, each increasing weight by 1kg and 2kg per set. Find the weight and number of sets when they lift the same weight. Let x be the number of sets. Then, Dominic lifts 11+x kg and his partner lifts 7+2x kg. They lift the same weight when 11+x=7+2x, so they will lift 18 kg after 7 sets.
Find the derivatives of h(x)=f(x)g(x) at x=3 and h(x)=f(x)/g(x) at x=2, given a table of f(x),f′(x),g(x),g′(x). Also, find the points where the tangent line of f(x)=(2x2+10)/(x+2) is horizontal.
Calculate electricity bill based on current and previous meter readings, and rate per kWh. Given: Current reading 31,257kWh, Previous reading 30,782kWh, Rate $0.0983/kWh. Find the electricity bill for this cycle.
Determine if consumer product ratings (0-10) have changed from last year to this year. Given a table of 8 consumer ratings, test at α=0.05 if there is enough evidence to conclude the ratings have changed, assuming random, dependent samples from a normal population. Calculate dˉ, sd, and t-test statistic t. Decide to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim.
A phone company offers two plans: Plan A (25+0.07/min) and Plan B (16+0.11/min). Find the minutes and cost when the plans cost the same. For what amount of calling do the two plans cost the same?
x minutes
What is the cost when the two plans cost the same?
$0.11−0.0725−16
Feng's earnings table shows 21 hrs: $552.30, 23 hrs: $604.90, 31 hrs: $815.30. Write a proportional equation for total earnings e in dollars and cents in terms of hours h.
Find the amount of natural oil needed to make 972 liters of Petrolyn motor oil, which contains 7 liters of natural oil for every 5 liters of synthetic oil. liters of natural oil=972⋅7+57
Find the maximum height of a vertically moving body with s=−21gt2+v0t+s0,g>0. Which expression gives the correct max height: 2gv02+s0, gv0+s0, gv02+s0, 2gv0+s0?
Find the remainder of 732 divided by 3.2, then find the average of 9, 15, 12, and 11, and write the remainder as a fraction. 732÷3.2, find average of 9,15,12,11, write remainder as fraction.
A group of adults bought movie tickets and 4 bags of popcorn. Determine the total amount spent, where x is the number of adults.
A) 10x+6
B) 10x+24
C) 16x
D) 6x+10
Find the domain and simplify the ratio of the given functions f(x)=5x+6 and g(x)=2x−9. (gf)(x)=2x−95x+6 The domain of gf is {x∣x=29}. Evaluate (f+g)(2), (f−g)(4), and (f∘g)(3).
Find the total number of employees in an international company if it has 18,900 employees in one country, which represents 28.4% of the company's total employees.