02/19/23

Solving Quadratics using the Quadratic Equation
A waterfall has a height of 1500 feet. A pebble is thrown upward from the top of the falls with an initial velocity of 16 feet per second. The height of the pebble h in feet after t seconds is... more
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02/19/23

College Algebra

If f is one-to-one and f(6) =10, then f^-1(10)= ____ and (f(6))^-1=___
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02/19/23

Probability question
When doing blood testing for a viral infection, the procedure can be made more efficient and less expensive by combining partial samples of different blood specimens. If samples from four people... more
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02/19/23

Given 8i is a root of polynomial, P(x) = x^3 - 4x^2 + 64x - 256, find the remaining roots and write in factored form.
Find a possible formula for P(x). You do not need to simplify your answer.P(x) = Answer format should look like (x-a)(x-bi)(x+bi))
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02/19/23

Applied Maximum and Minimum Problems

A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y=10 - x^2. What are the dimensions of such a rectangle with the greatest possible area?Width =... more
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02/19/23

Applied Maximum and Minimum Problems
A cylinder-shaped can must be constructed to hold 400 cubic centimeters of soup. The material for the sides of the can costs 0.03 cents per square centimeter. The fabric for the top and bottom of... more
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02/19/23

Perform the Fourier-Motzkin elimination to find a feasible region and optimum solution
Consider the following linear programming problem: min 50x1 + 80x2 subj 2x1 + 8x2 ≤ 5 6x1 + 5x2 ≤ 10 x1 ≥ 0 x2 ≥ 0(a) Is this problem feasible? (Hint: Use the Fourier-Motzkin elimination to check... more
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02/19/23

normally distributed lifespan, with a mean of 7.1 years, and standard deviation of 0.5 years. The 4% of items with the shortest lifespan will last less than how many years?
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02/19/23

geometric progression
the 8th term of a geometric progression[G] is -7/32. find it common ratio if its first term is 28
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02/19/23

marbles question math

bag contains 10 red marbles, five white marbles, eight blue marbles. you draw out five marbles out of random without replacement. what is the probability that all the marbles are red? and what is... more
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02/19/23

Which of the following formulas shows the Law of Cosines? “Justify your answer”
A) c^2 = a^2 + b^2 - 4ac + cosAB) c^2 = a^2 - b^2 - -2abcosCC) c^2 = a^2 + b^2 - 2cosCD) (cos A)/a = (cosB)/b
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02/19/23

The sine rule for a triangle states that…(explain the reason)
A) a/sin A = b/sin B = c/sin CB) sinA/a = sin B/b = sin C/cC) a/sin A + b/sin B + c/sin CD) 2a/sin A = 2b/sin B = 2c/sin C
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02/19/23

Satellite question
An earth-orbiting satellite is passing between the oak ride laboratory in Tennessee and the Langley research center in Virginia, which are 446 miles apart. If the angles of elevation to the... more
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02/19/23

evaluate the following and break even analysis

Evaluate the following: rose bought 9 pens and 7 pencils and paid a total of $14.80. Ann bought 2 pens and 10 pencils and paid $7. find the price for a single pen and a single pencil one number is... more
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02/19/23

Trigonometry Story Problem
To measure the height of the cloud cover at an airport, a worker shines a spotlight upward at an angle of 73° from the horizontal. An observer 734 m away measures the angle of elevation to the spot... more
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02/18/23

If f(x)=ln(ln(x)) find f′(6) ,correct to at least five decimal places.

f’(6)=
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02/18/23

If f(x)=ln(x^3+1) find f′(7) correct to at least five decimal places.

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02/18/23

Factoring Quadratic Expressions
What is the relationship between the Factors and the Factorised Expression?
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02/18/23

Solve the equation secx cscx = 2secx
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02/18/23

How long is the ladder?
The top of a ladder slides down a vertical wall at a rate of 0.375 m/s. At the moment when the bottom of the ladder is 6 m from the wall, it slides away from the wall at a rate of 0.5 m/s. How long... more
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02/18/23

Find the rate at which the distance from the plane to the station is increasing when it has a total distance of 4 mi away from the station.
A plane flying horizontally at an altitude of 3 mi and a speed of 460 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when... more
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02/18/23

D and E are sets of real numbers defined as follows. D= {x | x< 1} E = {x | x≤8} Write DnE and DUE using interval notation. If the set is empty, write ø.
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02/18/23

If cot 𝜃 =−20/21 and sin𝜃 <0, what Quadrant is 𝜃 in? If cot 𝜃 =−20/21 and sin𝜃 <0, use a Pythagorean identity and your answer to the previous question to determine sec𝜃.

Its 2 different questions.. help please
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02/18/23

a washing machine retailers for $520. If the store owner makes a profit of 30%, how much did she pay for the washing machine at wholesale?
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02/18/23

Maths- exponent question
If 3^a = 21^c and 7^d=21^cshow that c= ad/a+d
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