Determining Number of Consecutive Zeros
How many consecutive 0's are there at the end of the number (50!)^3 ("50 factorial" cubed)?
How many consecutive 0's are there at the end of the number (50!)^3 ("50 factorial" cubed)?
The Center City Anuraphilic (frog lovers) society has fallen on hard times. Abraham, Bobby and Charlene are the only remaining members and each feels equally entitled to take possession of the society's collection of live rare tropical frogs. The decision is made to use the method of sealed bids and fair shares to decide who wil
A sewage treatment plant influent has a BOD5 value of 310 mg/L. What efficiency must the treatment plant have in order to meet the NPDES BOD5 requirement of less than 30 mg/L? Will this sewage treatment plant need a tertiary treatment stage?
How to add negative and positive numbers? Explanation on absolute value. Example of adding two positive numbers, two negative numbers, and two numbers with opposite signs. Example 1: 9 + 5 Example 2: -10 + (-6) Example 3: -8 + 4 Example 4: 8 +(-4)
(see attached for full problem description) (a) Use the quadratic formula to determine, to the nearest tenth, the roots of the equation: 2x^2 + 1 = -4x. (b) Determine the vertex of the parabola y = 2x^2 + 4x + 1. (recall the x value of the vertex is given by x = -b/2a) (c) Use parts a and b to sketch the grap
XYZ University sends out its diplomas in a diploma mailer that's in the shape of a right circular cylinder. The ratio of the height of the mailer to the radius of its base is 5, and the total surface area of the mailer (lateral surface area, plus the areas of the top and the base) is 96 square inches. Find the height of the mail
1) If f(x) =√x^2-1 and g(x) = √x-1 and, which expression represents f(x)/g(x) for x>1? a) √x-1 b) 1/√x+1 c) √x d) √x+1 2) The function h(x)= 1/98x^2 describes h(x), the height of a rollercoaster track, where x is the horizontal distance in feet from the center of this section of the track. The tower that supp
Could you please help me with these questions by showing you're work so that I can understand how to move forward with my assignment. 1. Solve: √y+1 - 6 =2 (Square root of y+1-6=2, only the y+6 is under the square root sign) 2. Solve the equation: √w^2-12 +7 = w+5 (Only the w^2-12 is under the square root sign) 3. Solve
(Please see the attached file for the full question detains) Please solve and explain these questions: 1, 2 , 7, 17 19 21 1. Write the polynomial in standard form, identify the degree of the polynomial, identify the leading coefficient, and then classify it according to its degree and number of teams. 2y - 3y^2 + 2y^3 + 3
The maximum velocity of a roller coaster depends on the vertical drop from the top of the highest hill to the bottom of that hill. The formula: (see attached), gives the relationship between maximum velocity, V(h) in feet per second, and height, h in feet. 1. Identity the independent variable, dependent variable.(Must use the
Environmental scientists often use cost-benefit models to estimate the cost of removing a pollutant from the environment as a function of the percentage of pollutant removed. Suppose a cost benefit function for the cost C (in millions of dollars) of removing x percent of the pollutants from Maple Lake is given by C(x) = 25x/(
The table shows the retail market share of passenger cars from Ford Motor Company as a percentage of the U.S. market. (see attachment) A mathematical model for this data is given by f(x) = 0.04x2 - 0.8x + 22 where x = 0 corresponds to 1975 a. Complete the table. (see attachment) b. Use values of the modeling function, f t
Solving for x in a linear equation in one variable.
#28: y=-2x2+3 x y=-2x2+3 y 0 y=-2(0)2+3 3 1 y=-2(1)2+3 1 2 y=-2(2)2+3 -5 -1 y=-2(-1)2+3 1 -2 y=-2(-2)2+3 -5 • The graph of the relation is  (x)=-2x2+3. • My 5 points for this equation is as follows: (0,3) (1,1) (2,-5)
Problem 2. x2 + 6x +8 = 0 (Dugopolski, p. 635, 2012). Through observation, we can see that the quadratic equation in our problem is factorable. Solution by the factoring method: x2 +6x + 8 = 0 Original equation (x + 2)(x+4) = 0 Factoring left hand side. x + 2 = 0 or x + 4 = 0 Zero Factor property will find the value o
Write using exponents. (-4)(-4) Simplify. Show your work. 5 1/3 +(-3 9/18) What type of measurement would you use to describe the amount of water a pot can hold? Estimate the sum of 9.327 + 5.72 + 4.132 to one decimal place. State whether the number 91 is prime, composite, or neither. What are the mean
See the attached file. Problem 66. y^1/3 y^1/3 Now we have to simplify the problem. Looking at the problem and identifying what every part of the problem is we get that "y" is the principal root and it is being raised to an nth root, the 1 in the exponent is the power and the 3 in the exponent is the root. So for my first
Attached is a discussion paper, which had two expressions that needed to be solved. I wrote only a little about real numbers. Of these numbers to the right, 2.5, 0, 1/3, -0.2121121112111..., 0.11111..., pi, 14, 14.28561,which is/are real? Can the numbers provided above also be applied in the same manner as my paper? Also,
I have provided an attachment showing the two problems that I have already worked. I am looking for a sanity check to ensure the process is correct. Since doing the equations, I have two distinct questions concerning the problems. 1. Why can we not factor something like a2+b2? 2. On the second equation, not sure if I use
Q1 Alternating currents i1 and i2 flowing into a circuit node are given by i1 = 0.02 sin wt i2 = 0.032 cos ( wt - π/3) Determine an expression for the output current i = i1 + i2 the form R sin (wt + α) and thus state its amplitude and phase angle
Provided below is a formula that I already understand, to include finding the answer. P=A(1/(1+r)^n ) = P=(5000)(1/(1+0.08)^12 )≌1985.60 The equation and variables below is similar to the above equation, However, the A is on the sum side. Can someone show me the steps in this process. If the amount invested and th
As I have learned about parallel and perpendicular slopes, the slope is m=rise/run. Completely understand the perpendicular with a 90 degree offset. Can someone explain, why the rise/run is the same anywhere on the straight line? Is there a mathematical argument for this? If so/not then can someone explain? Any explanation is g
Formulas Read the following instructions in order to complete this discussion, and review the example of how to complete the math required for this assignment: • Read about Cowling's Rule for child sized doses of medication (number 92 on page 119 of Elementary and Intermediate Algebra). • Solve parts (a) and (b) of the
Can someone explain why the first two answers are the same? Can a person do the foil to get them equal? Can we also try: (a^3 - b^3)=(a-b)(a^2+ab+b^2) (a^4-b^4)= (a-b)(a^3 + a^2b + ab^2 +b^3) Can we find a^n - b^n = (a-b)(...)?
A computer can do one calculation in 1.4 x 10exponent -7. how long would it take the computer to do a trillion 10exponent 12 calculations round to one decimal place. Give the answer in scientific notation.
Eduardo has a balance of $3,265.96 on his credit card with an APR of 12.6%. His credit card requires a minimum monthly payment of 2% of the balance. If he transfers his balance to a credit card with an APR of 8.5% how of his first payment would be interest and how much would be applied to the principal?
For 1-3 solve the equation using the square root property 1. (m+1)^2 = -1 2. (p-1)^2 = 12 3. (t+5)^2 = -18 For 4 & 5, find the value of n such that the expression is a perfect square trinomial, then factor it. 4. X^2 -9X+n 5. Z^2 -2/5z +n For 6-8, solve the equation by completing the square and applying the square root
Explain the difference between a function and a relation. Consider the equation x2 + y2 = 5 and explain why you believe it's a function or not? Give at least two reasons to support your answer.
Can someone please assist me with the attached and "setting up the proportions" as I am totally clueless at how to do this. So, what would the world be like if I was only one foot tall? "Proportion Setup" Please show me how to set-up and solve for these.
In the limit as t goes to infinity the solution approaches x(t)=Ksin[ω(t-t0)] where K and t0 depend on ω (note: t0 = t subscript 0) I am attempting to show that K(ω) = 1/(ω^4-ω^2+1)^1/2 and failing My thoughts: I believe that at t=0. The only important part of the general solution to the original equation is the expo