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MATH SOLVE
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Josh has a rewards card for a movie theater. - He receives 15 points for becoming a rewards card holder. - He earns 3.5 points for each visit to the movie theatre. - He needs at least 55 points to earn a free movie ticket. Which inequality can Josh use to determine x, the minimum number of visits he needs to earn his firs free movie ticket? A 3.5x+15≥553.5x+15\ge553.5x+15≥55 B 3.5+15x≥553.5+15x\ge553.5+15x≥55 C 3.5+15x ≤ 553.5+15x\ \le\ 553.5+15x ≤ 55 D 3.5x+15 ≤ 553.5x+15\ \le\ 553.5x+15 ≤ 55
General
2 months ago
The number of nails of a given length is normally distributed with a mean length of 5.00 in. and a standard deviation of 0.03 in. Find the number of nails in a bag of 120 that are between 4.97 and 5.03 in. Long.
General
2 months ago
Use the laws of logarithms and the values given below to evaluate the logarithmic expression. log7=0.8451 log5=0.6990log3=0.4771 log2=0.3010log12
General
2 months ago
Which is log x+ 6 log(x+7) written as a single logarithm.
General
2 months ago
A cylinder with a radius of 1 cm and a height of 21 cm has the same volume as a cone with a height of 7 cm. What is the radius of the cone? A) 3 cm B) 5 cm C) 7 cm D) 9 cm
General
2 months ago
Let u= ln x and v=ln y. Write ln(x^3y^2) in terms of u and v.
General
2 months ago
The container that holds the water for the football team is 3/4full. After pouring out 7 gallons of water, it is 1/2 full. How many gallons can the container hold?
General
2 months ago
Write ln 2x + 2x ln x -ln 3y as a single logarithm.
General
2 months ago
Which is 5logx - 6log(x-8) written as a single logarithm?
General
2 months ago
Help with my two math problems please:)
General
2 months ago
Consider all length-13 strings of all uppercase letters. Letters may be repeated.(a) How many such strings are there?(b) How many such strings contain the word CHARITY?(c) How many contain neither the word CHARITY nor the word HORSES?For a, I got 26^13, since there are 13 possible spaces for the string and each space has 26 choices. For part b I just got 26^6, since I treated CHARITY as 1 block and then there was 6 other available spaces. For c, I did 26^13 - 26^6 - 26^7 since it wanted the amount without the two words. I wanted to check my thought process, since I am unsure if we need to multiply the answers by how many avaliable elements there are.
General
2 months ago
A business firm produces and sells a particular product. Variable cost is P30 per unit. Selling price is P40 per unit.Fixed cost is P60,000. Determine the following:a. Profit when sales are 10,000 unitsb. The break-even point quantity and revenuec. Sales when profits are at P9,000d. The amount by which fixed is cost will have to be decreased or increased, to allow the firm to break even at sales volume of 500 units. Variable cost and selling price per unit remain constant.e. The volume of sales to cover the fixed costf. Suppose that the firm want to break-even at a lower number of units, assuming that Fixed cost and Variable cost remain constant, how is the selling price affected?
General
2 months ago
Determine the exact formula for the following discrete models:2tn+2 = 3tn+1 + 2tn; t0 = 1; t1 = 3;49yn+2 = -16yn; y0 = 0; y1 = 2;9xn+2 = 12xn+1- 85xn; x0 = 0; x1 =1
General
2 months ago
An analgesic is ordered for intramuscular injection. If the concentration of analgesic available is 8 mg/ml, how many ml should be administered for a dosage of 20 mg?A. 2.0C. 3.0B. 2.5D. 3.5
General
2 months ago
A vacuum cleaner dealership sold 370 units in 2011 and 411 units in 2012. Find the percent increase or decrease in the number of units sold.The number of units sold increased or decreased? by about what percent?
General
2 months ago
A car is travelling at exactly 6 miles per hour and accelerates at a constant rate to exactly 65 miles per hour.This acceleration takes exactly 14.8 seconds.What is the rate of acceleration, in miles per hour2?
General
2 months ago
1. Solve the equation x = (2x+ 3)1/22. Consider f1(x) = ln(x + 1) + ln (x-1) and f2(x) = ln(x^2-1).a) State domains and ranges of f1 and f2.b) Sketch the curves y = f1(x) and y = f2(x).
General
2 months ago
The two spheres above have the same center. One has a radius of 4 cm, and the other has a radius of 5 cm
General
2 months ago
You are trying to decide what to wear today. You take out 2 shirts, 2 pairs of pants, and 4 pairs of shoes that allcoordinate.How many different outfits can be made with a shirt, a pair of pants, and a pair of shoes?
General
2 months ago
Triangles ABD, CBD and ADC are all isosceles. Find the angle x.AC = AD
General
2 months ago
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