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MATH SOLVE
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For a company that manufactures thermostats, the combined cost for labor and material is $5 per thermostat. Fixed costs (costs incurred in a given period, regardless of output) total cost equation is C 5x + 60,000. If the selling price of a thermostat is $7, then the revenue equation is R = 7x. How many thermostats must be sold for the company to earn a profit? Be sure to show the inequality you setup and the process by which you solve it. Include units on your answer. $60,000. So, the are
General
2 months ago
A cold drink is poured out at 52°F. After 2 minutes of sitting in a 72°F room, its temperature has risen to 55°F. Find an equation for the drink's temperature at any time t. (t) =
General
2 months ago
An advertiser goes to a printer and is charged $73 for 100 copies of one flyer and $82 for 400 copies of a similar flyer. Assuming the cost for a printing job is represented by a linear equation, find the equation (in slope-intercept form) that describes the cost y of a printing job if x is the number of Copies made. Also, write a sentence describing what the slope of the equation represents in this situation.
General
2 months ago
Jamey rides his bike the same distance each day while training for a race. He also jogs 3.4 miles per day.During 5 days of training, he bikes and jogs a total of 80 miles. How many miles does Jamey ride his bike eachday?
General
2 months ago
Jason has a flower box in the shape of a rectangular prism with interior dimensions that are 10 inches in length, 6 inches in width, and 14 inches in height. jason will fill the flower box 7/8 full of soil. how many cubic inches of soil will be in the flower box?
General
2 months ago
What is this function written in vertex form?The image shows a geometric representation of thefunction f(x) = x2 + 2x + 3 written in standard formf(x) = (x + 2)2 +3f(x) = (x2 + 2x)2 + 3f(x) = (x + 1)2 + 2f(x) = (x + 3)2 + 2%+X+++
General
2 months ago
Hayley begins solving this problem by combining like terms.3x + 5x = 10Which problem begins the same way?A) 5x = 20 B) 2(x + 5) = 20 C) x4 = 30 D) 4x − 2x = 10
General
2 months ago
Which of the following scenario is free of social desirability bias? O A psychologist counts how many digits a 70 years old man can remember Parents report number of hours their children spend on social media a day O A researcher observes a married couple discuss their recent argument. O A doctor asks patients how many cigarettes they smoke in a week
General
2 months ago
Numerically estimate the slope of y = f(x) at r = a. 1. f(x) = x^2 - 2x, a = 2 2. f(x) = sin 2x, a = 0
General
2 months ago
Involving the selection of rats from a cage. Assume that there are 6 rats in the cage: 3 trained and 3 untrained. A rat is removed from the cage and it is noted whether or not it is trained. It is then placed in a different cage. 4 more rats are removed and treated the same way. (1) Which of the following is not a valid outcome for this experiment? A. UUUTU OB. UUTTU C. TUTUT D. TUTUU (2) How many outcomes are possible for this experiment? (Note: The tevthnok's versinn.of this nmhiem was solved on The Finite Show, You can view the streaming video of this solution at TFS solution.
General
2 months ago
How many solutions does each equation have? Infinite, one, or none?2x + 4 (x-1) = 2 + 4x25 - x = 15 - (3x + 10)4x = 2x + 2x + 5 (x-x)
General
2 months ago
The length of a rectangle is (2x –1) units, and the width is (x − 2) units. The area of the rectangle is 20 square units. What is the length of the rectangle?A. 0.5 unitsB. 3 unitsC. 4.5 unitsD. 8 units
General
2 months ago
Last year, Justin opened an investment account with $5400. At the end of the year, the amount in the account had increased by 6.5%. How much is this increase in dollars? How much money was in his account at the end of last year?
General
2 months ago
. An investigator measuring various characteristics of a large group of athletes found that the correlation between the weight of an athlete and the amount of weight that athlete could lift was 0.60. True or false and explain:a) On the average, an athlete can lift 60% of his body weight.b) If an athlete gains 10 pounds, he can expect to lift an additional 6 pounds.c) The more an athlete weights, on the average the more he weights.d) The more an athlete can lift, on the average the more he weighs.e) 60% of athlete's lifting ability can be attributed to his weight alone.
General
2 months ago
A solid sphere, solid cylinder, and a hollow pipe all have equal masses and radii. If the three of them are released simultaneously at the top of an inclined plane and do not slip, which one will reach the bottom first?
General
2 months ago
2) In a certain large company, the ratio of college graduates with a graduate degree to non-college graduates is 1:8, and ratio of college graduates without a graduate degree to non-college graduates is 2:3. If one picks a random college graduate at this large company, what is the probability this college graduate has a graduate degree?
General
2 months ago
2. A particular professor is known for his arbitrary grading policies. Each paper receives a grade from the set {A, A−, B+, B, B−, C+} with equal probability, indepenently of other papers. How many papers do you expect to hand in before you receive each possible grade at least onc?
General
2 months ago
(Old Final Exam Problem-Sp2009) An hourglass is made up of two glass cones connected at their tips. Both cones have radius 1 inch and height 3 inches. When the hourglass is flipped over, sand starts falling to the lower cone. (a) When the sand remaining in the upper cone has height y inches, its volume A in terms of y is . (b) When the sand in the lower cone has reached a height of h inches, its volume B in terms of h is . (Hint: B is the volume of the bottom cone minus the volume of the empty space above the sand.) (c) Assume the total volume of sand in the hourglass is 3π/4 cubic inches. Also, assume the height of the sand in the upper cone is decreasing at a rate of 4/100 inches per second. At the instant when the sand in the lower cone is 1 inch high, the height of the sand in the lower cone is increasing at a rate of inches per second.
General
2 months ago
(a) Use differentiation to find a power series representation forf(x) =1(5 + x)2.f(x) =? sum.gifn = 0What is the radius of convergence, R?R = (b) Use part (a) to find a power series forf(x) =1(5 + x)3
General
2 months ago
) In how many ways can 5 different novels, 2 different mathematics books, and 1 biology book be arranged on a bookshelf if (a) the books can be arranged in any order? Answer: 40320 (b) the mathematics books must be together and the novels must be together? Answer: (c) the mathematics books must be together but the other books can be arranged in any order? Answer:
General
2 months ago
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