01/10/23

Optimization Problem

A fence 10 feet tall runs parallel to a tall building at a distance of 2 ft from a building.We wish to find the length of the shortest ladder that will reach from the ground over the fence to the... more

01/10/23

Allyson has a pace of 9 min/mile; what is her speed in ft/sec?

Marathon runners keep track of their speed using units of pace = minutes/mile

01/09/23

Riemann Integral Question

(Reference to Review Set 20A, Question 3ab)Question:a) Sketch the region between y = sin x and the x-axis for 0=< x =< pi/2.b) Divide the interval into 3 equal parts and display the 3 upper... more

01/06/23

Math Calculus Question!

Question: a) Find the equation of the normal to y=e2x at the point where x=a. b) Hence find the equation of the normal to y=e2x which passes through the originAnswer: a) y= (-1/2e2a)x + (a/2e2a) +... more

01/06/23

Math Calculus Question

Question: y=x/root(1-x) has a tangent with equation 5x+by=a at the point where x=-3. Find the values of a and b. Answer: a=9, b=-16

How do I find the common difference with a term from the sequence and one from the series?

So the question is this:"If s is an arithmetic sequence (with associated series S) such that s28 = -101 and S4 = 4, find s11 and S20."I am having difficulty finding the common difference in the... more

12/30/22

I'm confused with this question:

The diagonals AC and BD of quadrilateral ABCD intersect at O. Given the information AO = BO and CO = DO, what can you deduce about the lengths of the sides of the quadrilateral? Prove your response. more

12/29/22

Algebra Slope Intercept - find the equation

Find the equation of the line that passes through the coordinates (-3,5) and (-3,4)My book says the answer is x= -3 but I don't know how or why

How do I form an exponential function with a set of data

I'm working on a project to do with exponential function and I'm trying to extrapolate a set of data to find the variables needed for the analysis of the experiment (the goal of which is to compare... more

12/22/22

Solve the inequality:

|(x-3)/(2x-1)|>(3x+1)/(x-1)

12/21/22

There are 25 prime numbers less than or equal to 100. What is the ones (units) digit of their product?

There are 25 prime numbers less than or equal to 100. What is the ones (units) digit of theirproduct?

Need help with this problem

find a polynomial f(x) of degree 3that has the following zeros. 7 (multiplicity 2),-3leave your answer in factored form

12/21/22

You are given the four points in the plane 𝐴=(0,−6), 𝐵=(5,2), 𝐶=(7,−6), and 𝐷=(11,3)

You are given the four points in the plane 𝐴=(0,−6)A=(0,−6), 𝐵=(5,2)B=(5,2), 𝐶=(7,−6)C=(7,−6), and 𝐷=(11,3)D=(11,3). The graph of the function f(x) consists of the three line segments AB, BC and... more

12/21/22

the equation of a line which passes through the point A(4, 1) and is parallel to XY

A straight line is drawn through the points X(2,5) and Y(8,7). Calculate:the equation of a line which passes through the point A(4, 1) and is parallel to XY.

12/21/22

Number theory question

Tomas reads a math book. He reads 1 page on the first day, 2 pages on the second day, 3 pages onthe third day and so on, each day reading one more page than the previous day. If the book has2016... more

12/19/22

Find a possible formula for the trigonometric function whose values are in the following table.

x 0 4 8 12 16 20 24 y -1 -7 -1 5 -1 -7 -1 y = 

12/18/22

seven subtracted from the product of 5 and a number is at most -22

translate the sentence into an inequality

Solve the polynomial inequality and graph the solution set on a real number line. Express the solution set in interval notation.

x^2-14x+48>0Use the inequality in the form ​f(x)>​0, to write the intervals determined by the boundary points as they appear from left to right on a number line.interval: ___ ___ ... more

12/14/22

How to rewrite 3x + 15 as the product of two factors

This is a hard question

12/14/22

Geometry Triangles

The diagram below models the layout at a carnival where G, R, P, C, B, and E are various locations on the grounds. GRPC is a parallelogram.Part A: Identify a pair of similar triangles.Part... more

12/13/22

algebra 2 graphing parabola

A ball is thrown directly upward from a height of 4 ft with an initial velocity of 20 ft/sec. The function s(t)=−16t2+20t+4 gives the height of the​ ball, in​ feet, t seconds after it has been... more

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