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MATH SOLVE
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Dina and Masha started out on a 20 miles bike path at the same time. When Dina reached the end of the 20 miles, Masha still had 4 miles left to bike. If Dina's biking speed was 10 mph, find Masha's biking speed.
General
4 months ago
The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 60 ounces and a standard deviation of 5 ounces. Use the Standard Deviation Rule, also known as the Empirical Rule. Suggestion: sketch the distribution in order to answer these questions. (a) 99.7% of the widget weights lie between and (b) What percentage of the widget weights lie between 50 and 75 ounces? (c) What percentage of the widget weights lie above 55 ?
General
4 months ago
Lynbrook West, an apartment complex, has 100 two-bedroom units. The monthly profit (in dollars) realized from renting x apartments is represented by the following function. P(x) = -2x2 + 1700x - 43000 (a) What is the actual profit realized from renting the 41st unit, assuming that 40 units have already been rented?
General
4 months ago
Juan has gained 20 lb. since last year. He now weighs 120 lb. Rashod is 15 lb. heavier than Diego. If Rashod and Juan weighed the same amount last year, how much does Diego weigh? Let j represent Juan’s weight last year in pounds, and let d represent Diego’s weight in pounds.a. Draw a tape diagram to represent Juan’s weight.b. Draw a tape diagram to represent Rashod’s weight.c. Draw a tape diagram to represent Diego’s weight.d. What would combining all three tape diagrams look like?e. Write an equation to represent Juan’s tape diagram.f. Write an equation to represent Rashod’s tape diagram.g. How can we use the final tape diagram or the equations above to answer the question presented?h. Calculate Diego’s weight.
General
4 months ago
Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the outer function y = f(u).] y = tan(πx) (g(x), f(u)) = ___________ Find the derivative dy/dx. dy/dx = ___________
General
4 months ago
-7x+2y<2 and 3x+4y>=-12
General
4 months ago
Which property is illustrated?18 + 9 = 9 + 18distributive propertyassociative property of additionidentity property of additioncommutative property of addition
General
4 months ago
Mark the text by underlining key words, and then write an expression using variables and/or numbers for each statement.1. b decreased by c squared2. 24 divided by the product of 2 and a3. 150 decreased by the quantity of 6 plus b4. The sum of twice c and 105. Marlo had $35 but then spent $m.6. Samantha saved her money and was able to quadruple the original amount, m.7. Veronica increased her grade, g, by 4 points and then doubled it.8. Adbell had m pieces of candy and ate 5 of them. Then, he split the remaining candy equally among 4 friends.9. To find out how much paint is needed, Mr. Jones must square the side length, s, of the gate and then subtract 15.10. Luis brought x cans of cola to the party, Faith brought dd cans of cola, and De’Shawn brought h cans of cola. How many cans of cola did they bring altogether?
General
4 months ago
Find the exact area of the surface obtained by rotating the curve about the x-axis. y = 1 + ex , 0 ≤ x ≤ 9
General
4 months ago
A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 700 cubic centimeters of soup. The sides and bottom of the container will be made of styrofoam costing 0.02 cents per square centimeter. The top will be made of glued paper, costing 0.09 cents per square centimeter. Find the dimensions for the package that will minimize production cost.
General
4 months ago
You buy a car for $40,000. In your research you find out the car will be worth $0 after 12 years. Find the depreciation. What does this number tell you?
General
5 months ago
Seiji and Gavin both worked hard over the summer. Together they earned a total of $525. Gavin earned $25 more than Seiji.
General
5 months ago
Carla volunteered to make pies for a bake sale. She bought two pounds of apples and six pounds of peaches and spent $19. After baking the pies, she decided they looked so good she would make more. She went back to the store and bought another pound of apples and five more pounds of peaches and spent $15. What are the costs per pound of apples and peaches?
General
5 months ago
Find the equation given the roots -2, 1, and square root of 7
General
5 months ago
A sample of 31 boxes of cereal has a sample standard deviation of 0.81 ounces. Construct a 93% confidence interval to estimate the true standard deviation of the fllins process for the boxes of cereal. a (0433, 1.120) b)(0.658,1.058) c (0.525, 1095) d (0.731,0.731) e) None of the above.
General
5 months ago
In the function z equals f open parentheses x comma y close parentheses equals 6 minus 2 x plus ln left parenthesis x squared y right parenthesis space minus fraction numerator 3 y squared over denominator 4 minus x end fraction , 1. x and y are dependent variabloes, z and 6 are independent variables. 2. x and y are dependent variables, z is an independent variable. 3. x and y are independent variables, z is a dependent variable. 4. x , y and 6 are independent variabloes, z is a dependent variable.
General
5 months ago
According to the Department of Transportation, 27% of domestic flights were delayed in 2007 at JFK airport. Five flights are randomly selected at JFK. What is the probability that all five flights are on time?a) 0.2073b) 0.7927c) 0.8487d) 0.1513
General
5 months ago
Find the maximum profit and the number of units that must be produced and sold in order to yield the maximum profit. Assume that revenue, Upper R left parenthesis x right parenthesisR(x), and cost, Upper C left parenthesis x right parenthesisC(x), of producing x units are in dollars. Upper R left parenthesis x right parenthesisR(x)equals=4 x4x, Upper C left parenthesis x right parenthesisC(x)equals=0.01 x squared plus 0.3 x plus 40.01x2+0.3x+4
General
5 months ago
write an equation of the line that is parallel to -x + y = 5 and passes through the point (2,-5)
General
5 months ago
solve the inequality for x. 6 − 5x ≥ 21
General
5 months ago
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