A rectangular parking lot has a width 30 feet more than its length. The owners are able to increase the width by 20 feet and the length by 40. The new lot has an area of 27,200 square feet, what is the area of the original lot? Question solved general 11 months ago 1871
George Box, a famous statistician, once said, "All models are wrong, but some are useful.” What did George Box mean by this statement? Question solved general 11 months ago 8382
For a function f defined by f : x → 4x² - 3, find a domian of x corresponding to range 1 < f(x) < 13. Question solved general 11 months ago 7499
Eric is observing the velocity of a runner at different times. After one hour, the velocity of the runner is 5 km/h. After three hours, the velocity of the runner is 3 km/h.Part A: Write an equation in two variables in the standard form that can be used to describe the velocity of the runner at different times. Show your work and define the variables used. (5 points)Part B: How can you graph the equations obtained in Part A for the first 5 hours? (5 points) Question solved general 11 months ago 3400
PLEASE HELP GEOMETRY QUESTION: abcd and efgh are squares. if jh = 4 cm and jc = 9 cm, then what is the area of the shaded region? Question solved general 11 months ago 7014
Emily made a batch of cookies. She sold 2/3 of them and gave 1/5 of the remainder to her friends. If she had 60 cookies left, how many cookies did she originally make? Question solved general 11 months ago 2388
A flyer is spread by people at a large conference. Within one hour, the first person gives a stack of flyers to six people. Within the next hour, those six people give a stack of flyers to six new people. If this pattern continues, which summation can be used to calculate the number of people who receive a stack of flyers, not including the initial person, in the first five hours? Question solved general 11 months ago 4206
A quality assurance specialist makes $22 an hour for the first 40 hours she works during a week and $29 an hour for each hour worked over 40 hours. Which piecewise equation models her total weekly pay y in dollars as it relates to the number of hours x that she has worked during the week? Question solved general 11 months ago 6820
Charles begins finding the volume of a trapezoidal prism using the formula a = (b1 b2)h to find the prism's base area. a = ((x 4) (x 2))x a = (2x 6)x a = (x 3)x a = x2 3x which expression can be used to represent the volume of the trapezoidal prism? 2x3 6x2 x3 6x2 x3 3x2 2x3 3x2 Question solved general 11 months ago 9641
The polynomial x 3 + 5x 2 - 57x -189 expresses the volume, in cubic inches, of a shipping box, and the width is (x+3) in. If the width of the box is 15 in., what are the other two dimensions? ( Hint: The height is greater than the depth.)A. height: 19 in. depth: 7 in.B. height: 19 in. depth: 5 inC. height: 21 in. depth: 5 in.D. height: 21 in. depth: 7 in. Question solved general 11 months ago 4988
In right triangle ΔABC (m∠C = 90°), point P is the intersection of the angle bisectors of the acute angles. The distance from P to the hypotenuse is equal to 4 in. Find the perimeter of △ABC if AB = 20 in. Question solved general 11 months ago 3364
How do you know if two line segments are perpendicular? A. The slope of one is the negative of the slope of the other. B. Their slopes are reciprocals. C. Their slopes are negative reciprocals. D. Their slopes are equal. Question solved general 11 months ago 1220
A simple impact crater on the moon has a diameter of 15 kilometers. a complex impact crater has a radius of 30 kilometers. how much greater is the circumference of the complex crater than the simple impact crater? Question solved general 11 months ago 4624
You have four resistors, each of which has a resistance r. it is possible to connect these four together so that the equivalent resistance of the combination is also r. how many ways can you do it? there is more than one way. Question solved general 11 months ago 6186
A motorboat takes 3 hours to travel 144 km going upstream. The trip takes 2 hours going downstream. What is the rate of the boat in still water and what is the rate of the current? Rate of the boat still in water: Rate of the current: Question solved general 11 months ago 2404
The distance from P to Q is four times the distance from Q to R. The distance from p to r is 120 metres. What is the distance from Q to R? Question solved general 11 months ago 3228
What is an equation of a parabola with the given vertex and focus? vertex 0,0 focus 2.5 0? Question solved general 11 months ago 8753
Please answer parts c and d. Show working as well. Thanks! Question solved general 11 months ago 4583