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MATH SOLVE
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Albert wants to show that tan(theta)sin(theta)+cos(theta)=sec(theta). He writes the following proof:tan(theta)sin(theta)+cos(theta)=sec(theta)sin(theta)/cos(theta) sin(theta)+cos(theta)=sec(theta)sin^2(theta)/cos(theta)+cos(theta)=sec(theta)What is the next step in this proof?A.) He should write tan(theta)=sin(theta)/cos(theta) to find a common denominator.B.) He should write cos(theta)=cos^2(theta)/cos(theta) to find a common denominator.C.) He should write cos(theta)=1-sin(theta) to convert all the terms to sine.D.) He should write sin(theta)=1-cos(theta) to convert all the terms to cosine.
General
4 months ago
John says the transformation rule (x, y) --> (x + 4, y + 7) can be used to describe the slide of the pre-image (4, 5) to the image (0, –2). What was his error?
General
4 months ago
The revenue generated by a bakery over x months, in thousands of dollars, is given by the function f(x) = 2(1.2)x. The cost of running the bakery for x months, in thousands of dollars, is given by the function g(x) = 2x + 1.4.Determine the equation for h if h(x) = f(x) - g(x).A h(x) = -2((1.2)x + x + 0.7)B h(x) = (1.2)x - x - 0.7C h(x) = 2((1.2)x - 2x - 0.7)D h(x) = 2((1.2)x - x - 0.7)
General
4 months ago
Which expression is equal to 5p? p + p + p + p + p 4p + 1 p + 5 p3 + p2
General
4 months ago
A baseball team has three different pitchers. Randy pitched 333 innings and allowed 222 runs, Felix pitched 555 innings and allowed 444 runs, and Johan pitched 777 innings and allowed 555 runs.Which pitcher has the lowest number of runs allowed per inning?
General
4 months ago
Consider the incomplete paragraph proof. Given: Isosceles right triangle XYZ (45°–45°–90° triangle) Prove: In a 45°–45°–90° triangle, the hypotenuse is times the length of each leg. Because triangle XYZ is a right triangle, the side lengths must satisfy the Pythagorean theorem, a2 + b2 = c2, which in this isosceles triangle becomes a2 + a2 = c2. By combining like terms, 2a2 = c2. Which final step will prove that the length of the hypotenuse, c, is times the length of each leg? Substitute values for a and c into the original Pythagorean theorem equation. Divide both sides of the equation by two, then determine the principal square root of both sides of the equation. Determine the principal square root of both sides of the equation. Divide both sides of the equation by 2.
General
4 months ago
A researcher randomly surveyed two separate age groups to determine the number of hours teens spend on the Internet each week. The results are shown in this table. 13- to 14-year-olds 12 8 7 8 9 6 7 7 9 10 15- to 16-year-olds 15 6 21 12 13 12 8 9 7 10 Based on these results, which conclusions can you draw about these two groups of teens? Select each correct answer. A. On average, 15- to 16-year-olds spend a few hours more on the Internet each week compared to 13- to 14-year-olds. B. On average, 15- to 16-year-olds spend a few hours less on the Internet each week compared to 13- to 14-year-olds. C. On average, the two groups of teens spend about the same amount of time each week on the Internet. D. The amount of time that 15- to 16-year-olds spend on the Internet each week is more variable than the amount time 13- to 14-year-olds spend. E. The amount of time 15- to 16-year-olds spend on the Internet each week is less variable than the amount time 13- to 14-year-olds spend. F. The amount of time that the two groups spend on the Internet each week varies by about the same amount.
General
4 months ago
HELP ASAP PLEASE Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 4x and y = 2x−1 intersect are the solutions of the equation 4x = 2x−1. (4 points)Part B: Make tables to find the solution to 4x = 2x−1. Take the integer values of x between −4 and 4. (4 points)Part C: How can you solve the equation 4x = 2x−1 graphically? (2 points)
General
4 months ago
Maria wrote the equation log(x/2)+log(20/x^2)=log8. What is the solution to Maria's equation?a. x=3/10b. x=4/5c. x=5/4d. x10/3
General
4 months ago
Rules that govern the ways that logarithms are simplified and combined are going to be very similar to simplifying and combining rules for what other family of functions?ExponentialLinearRationalPolynomial
General
4 months ago
Gabe is the human resources manager for the Advanced Scientific Research Lab. He has to recordthe heights (in centimeters) and weights (in pounds) for each of the scientists in the lab.What are the medians for the height and weight distribution, respectively?A. 170, 179B. 183, 167C. 167, 183D. 179, 170E. 165, 175
General
4 months ago
Write the equation for the parabola that has x− intercepts (1.2,0) and (4,0) and y− intercept (0,12).
General
4 months ago
One number is the square of another. their sum is 182. find the numbers.
General
4 months ago
An urn contains 3 red and 7 black balls. players a and b withdraw balls from the urn consecutively until a red ball is selected. find the probability that a selects the red ball. (a draws the first ball, then b, and so on. there is no replacement of the balls drawn.)
General
4 months ago
Your school is painting the shop room. it measures 30 feet by 100 feet and has a ceiling that is 12 feet tall. paint costs $14.75 and a gallon covers 400 feet. what is the wall area of the room? 1,560 square feet 3,120 square feet 2,920 square feet 2,860 square feet
General
4 months ago
This figure is made up of a triangle and a semicircle. What is the area of the figure?Use 3.14 for π.Enter your answer, as a decimal, in the box.___units²
General
4 months ago
Earth has a radius of 3959 miles. A pilot is flying at a steady altitude of 1.8 miles above the earth's surface.What is the pilot's distance to the horizon?(no pic)Enter your answer, rounded to the nearest tenth, in the box.____ mi
General
4 months ago
On a workday, the average decibel level of a busy street is 70 db, with 100 cars passing a given point every minute. if the number of cars is reduced to 25 every minute on a weekend, what is the decibel level of the street?
General
4 months ago
Read the numbers and decide what the next number should be. 20 30 40 50 60 70
General
4 months ago
△RST is similar to triangle △XYZ by the AA Similarity Postulate. What is the measure of ∠X?Enter your answer in the box.m∠X= ___ °
General
4 months ago
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