59,606 Answered Questions for the topic Math

Math Algebra 1

11/12/23

How do we answer this Math Word Problem?

A circular fountain in a park includes a concrete wall that is 3 ft high and 2 ft thick. If the inner radius of the wall is x feet, write an algebraic expression in terms of x that represents the... more
Math

11/12/23

Create a word problem: Dividing Fractions

Create a word problem where 8/12 (dividend) is divided by 9/12(divisor) = 8/9 (quotient)
Math Calculus

11/11/23

Consider the function f(x) = 2x^3 - 3x^2 - 72x + 6 on the interval [-5,8]. Find the average or mean slope of the function on this interval, & (see description)

Consider the function f(x) = 2x^3 - 3x^2 - 72x + 6 on the interval [-5,8]. A) Find the average or mean slope of the function on this interval.B) By the Mean Value Theorem, we know there exists... more
Math Business

11/11/23

finding the cost question

Find the cost, including a sales charge of $1 per bond, for the transaction.Bond: TSBLast Price: 91.125Number Purchased: 104Group of answer choices$91,875.00$103,896.00$94,770.00$94,874.00
Math

11/11/23

Can anyone tell me how to do the maximize part?

The Pear company sells pPhones. The cost to manufacture x pPhones is C(x)=-19x^2+48000x+19934 dollars (this includes overhead costs and production costs for each pPhone). If the company... more
Math Business

11/11/23

Business math question

Claire Hummell bought 2 Hecht Company (HCO) bonds maturing in 2032. According to the bond table, the last price is listed as 98.375. With a sales commission of $1 per bond, find the total purchase... more
Math Calculus

11/11/23

For the given cost function C(x) = 14400 + 800x + x^2 find...

For the given cost function C(x) = 14400 + 800x + x^2 find... 1) The cost at the production level 1900 2) The avg cost at the production level 1900 3) The marginal cost at the production level... more

11/11/23

Calculus I Applied Optimization Problem- How far along the shore should Conner run before jumping into the water in order to save the child?

Conner is a lifeguard and spots a drowning child 60 meters along the shore and 70 meters from the shore to the child. Conner runs along the shore for a while and then jumps into the water and swims... more
Math

11/11/23

if the first term of a geometric sequence is 0.9 and its ratio is 0.2, what is the sum of the first five terms?

if the first term of a geometric sequence is 0.9 and its ratio is 0.2, what is the sum of the first five terms?
Math

11/11/23

Temperature Control in Cooking

Temperature Control in CookingIn cooking, understanding the cooling/warming rates of different foods is crucial. Consider a dish taken out of an oven with an initial temperature of T0=180∘C. Using... more

11/11/23

Solve sin^2 X+cos(2X)-cos X=0 over the domain 0º≤X<360º

Math Calculus

11/10/23

A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 500 cubic centimeters of soup. The s...

A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 500 cubic centimeters of soup. The sides and bottom of the container will be made of styrofoam costing... more
Math Calculus

11/10/23

Find the point or points on the curve y^2 - 4 x^2 = 70 that is closest to ( 5 , 0 )

Applied OptimizationFind the point or points on the curve y2 - 4x2 = 70 that is closest to ( 5 , 0 ).The point is _____ (enter your answer as an ordered pair; if there is more than one answer,... more

11/10/23

Calculus I Anti-derivatives Question A ball is shot from the ground straight up into the air with initial velocity of 49 ft/sec. Assuming that the air resistance can be ignored, how high does it go?

A ball is shot from the ground straight up into the air with initial velocity of 49 ft/sec. Assuming that the air resistance can be ignored, how high does it go? Hint:The acceleration due to... more
Math

11/10/23

The Law of Sines

Find the area of the triangle having the given measurements.A=33 degrees, b=21 feet, c= 38 feet
Math Calculus

11/10/23

A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 5 - x^2 . What are the dimensions of such a rectangle with the greatest possible area?

Applied OptimizationA rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 5 - x2. What are the dimensions of such a rectangle with the greatest possible... more
Math Calculus

11/10/23

If 2000 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box.

Applied OptimizationIf 2000 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box.Volume = _____ cubic centimeters

11/10/23

Calculus I Applied Optimization Problem- How many trees should a farmer plant per acre to maximize her harvest?

A farmer finds that if she plants 90 trees per acre, each tree will yield 25 bushels of fruit. She estimates that for each additional tree planted per acre, the yield of each tree will decrease by... more

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