59,249 Answered Questions for the topic Math

11/11/23

Determine the general solution, in radians, for sin(2θ)sinθ+cos^2 θ=1 by solving algebraically
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11/11/23

Determine the general solution, in radians, for 2sin B = 3tan^2 B by solving algebraically
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11/10/23

if sinθ=-4/5 and θ is in quadrant III, determine the exact value(s) of cos(θ - pi/6)
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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
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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
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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
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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
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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
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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
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Math Algebra 2

11/10/23

PLS HELP!!! Note: Enter your answer and all the steps that you use to solve this problem in the space provided below. Write the equation in vertex form: y=x^2+2x+5
PLS HELP!!! algebra 2 vertexes
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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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11/10/23

If 2200 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.
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11/10/23

Calculus I Applied Optimization Problem (Objective: Find the dimensions for the package that will minimize production cost.)
A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 250 cubic centimeters of soup. The sides and bottom of the container will be made of styrofoam costing... more
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11/10/23

Related Rates Problem (Analytical Geometry & Calculus I)- Goal: Find the rate of change of the area enclosed between the circle and the square
A circle is inside a square.The radius of the circle is increasing at a rate of 3 meters per hour and the sides of the square are increasing at a rate of 1 meter per hour.When the radius is 6... more
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11/10/23

Calculus I Related Rates Problem (An inverted pyramid is being filled with water at a constant rate)
An inverted pyramid is being filled with water at a constant rate of 35 cubic centimeters per second. The pyramid, at the top, has the shape of a square with sides of length 2 cm, and the height is... more
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11/10/23

Analytical Geometry Question! (Calculus I Trigonometry & Related Rates)
Given:A rotating light is located 16 feet from a wall. The light completes one rotation every 2 seconds. Find the rate at which the light projected onto the wall is moving along the wall when the... more
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11/10/23

Calculus I Related Rates Problem! (Differential Equations)
A police car is located 70 feet to the side of a straight road.A red car is driving along the road in the direction of the police car and is 110 feet up the road from the location of the police... more
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Math Algebra 2

11/10/23

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Write the equation in vertex form: y=x^2+2x+5
PLS HELP! AGEBRA 2 vertexes
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11/10/23

Which statement is logically equivalent to the following conditional statement? "If it has exactly four sides, then it is not a hexagon."

Which statement is logically equivalent to the following conditional statement? "If it has exactly four sides, then it is not a hexagon." If it does not have exactly four sides, then it is not a... more
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11/10/23

Jenni wrote a conditional statement and its converse.

Jenni wrote a conditional statement and its converse. Conditional: If each angle of a triangle measures 60°, then the sum of the measures of all the angles is 180°. Converse: If the sum of all the... more
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11/10/23

What is the inverse of the following statement? "If it is not Wednesday, then it is sunny."

What is the inverse of the following statement? "If it is not Wednesday, then it is sunny." If it is Wednesday, then it is not sunny. If it is sunny, then it is not Wednesday. If it is not... more
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11/10/23

What is the converse of the following conditional statement? "If this month is September, then next month ends in the letter r."
What is the converse of the following conditional statement?"If this month is September, then next month ends in the letter r."Determine if the converse is true or false and give a counterexample... more
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Math Algebra 2

11/10/23

Find an nth-degree polynomial function with real coefficients, a leading coefficient of 1, and satisfying the given conditions n = 4; - 3, 5 and 4 + 3 are zeros
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Math

11/10/23

The rectangle shown has a perimeter of 50 cm and the given area. Its length is 4 more than twice its width. Write and solve a system of equations to find the dimensions of the rectangle.
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Math

11/10/23

math question help
Greg's gas tank is 1/6 full. After he buys 11 gallons of gas, it is 2/3 full. How many gallons can Greg's tank hold?
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