Basic Math question and answers for November 10, 2024
- Q A cylinder-shaped log 78 in. long measures 37.68 in. around.What is the volume of the log?Enter your answer as a decimal in the box. Use 3.14 for TT.in
- Q A square of an unknown side length x inches has one side length increased by 4 inches and the other increased by 7 inches.(a) If the original square is shown...
- Q Diana has 2400 yards of fencing and wishes to enclose a rectangular area.(a) Express the area A of the rectangle as a function of the width W of the rectangle.(b)...
- Q Two perpendicular chords both 5 cm from the center of a circle divide the circle into four parts. If the radius of the circle is 13 cm, find the area...
- Q Select the correct answer.A waffle is rolled to make a cone shape without any gaps or overlaps. The radius of its base is 2.5 centimeters, and its slant height is11.5...
- Q Jake cuts out a rectangular piece of paper that measures 5 x 4 inches. Andrea cuts out a paper sector of a circle with radius 15 inches and arc length...
- Q A microscope allows a scientist to see a circular region that is 1.29 millimeters in diameter. How much area, to the nearest square centimeter, can the scientist see? The area...
- Q If, for all real numbers x, f(x) = g(x) + 3, then on any interval [a, b] the area of the regionbetween graphs f and g is3a-3b3ab3a + 3b3b-3a
- Q A tent is in the shape of a cylinder surmounted by a conical top. If the height and diameter of the cylindrical part are 2.1 m and 4 m respectively,...
- Q You are designing a rectangular swimming pool to be set into the ground. The width of the pool is 5 feet less than the length, and the depth is 40...
- Q The lengths of the sides of a rectangular prism are made, twice as long to create a new prism. How does the surface area of the new, larger prism compare...
- Q HAPPULOBox A: 7.5 in. by 6.25 in. by 10 in.Box B: 8 in. by 5.25 in. by 11.5 in.[]They need to decide which box will be less expensive for them...
- Q Evaluate the integral, where E is the solid that lies within the cylinder x + y2 = 9, above the plane z = 0, and below the cone z =...
- Q Sam wants to fence his rectangular garden plot along its length on the front side. The perimeter of the plot is 24 meters, and its length is 3 times its...
- Q The width of a rectangle is two-thirds of its length, and its area is 216 square meters. What is the length?27 m12 m18 m
- Q Tracy needs to find the length and width of the equipment storage room where she works. The room is 4 meters longer than it is wide. Its perimeter is 24...
- Q Water is leaking out of an inverted conical tank at a rate of 10,000 cm/min at the same time that water is being pumped into the tank at a constant...
- Q Toms found the area of a rectangle tobe square inch. Which could be the sidelengths of the rectangle?Ainch and inch34?inch and inchC inch and inch?inch and inch112
- Q Directions: Design an ice cream cone and a scoop of icecream so that if the ice cream melts completely:1) It fits exactly in the cone. Show the picture with thedimensions....
- Q You read online that a 15 ft by 20 ft brick patio would cost about $2,275 to have professionally installed.Estimate the cost of having a 27 by 30 ft brick...
- Q Consider the region enclosed by the graphs of 2y = 3?, y = 8, and 2y + 2x = 5.The area A of this region could be computed in two...
- Q A rectangular field is 380 yards in length and 157 yards in width. Find the area of the field in ACRES (1 acre = 43,560 square feet). Round to the...
- Q An interior decorator needs border trim for a home she is wallpapering. She needs 36 feet of border trim for the living room, 33 feet of border trim for the...
- Q Non-calculator: Consider a circle with a radius of k. Explain and show why there must be a square that has a diagonal with a length between k and 2k and...
- Q The campus of a college has plans to construct a rectangular parking lot on land bordered on one side by a highway. There are 640 ft of fencing available to...
- Q Sketch the following to help answer the question. Kite QRST has a short diagonal of QS and a long diagonal of RT. The diagonals intersect at point P. Side QR...
- Q You have 200 feet of fencing to enclose a rectangular plot that borders on a river. If you do not fence the side along the river, find the length and...
- Q A high school is building a new gymnasium in the shape of a pyramid. Its base is a square with each side 500 feet long and has a slant height...
- Q Use the Fundamental Theorem of Calculus to find the area of the region between the graph of the function 5/7 x(2/7) + 1/2 x(4/9) + 6 and the x-axis on...
- Q Sketch the region enclosed by the curves given below. Decide whether to integrate with respect to x or y. Then find the area of the region.9y+ x = 9, y...
- Q Sketch the region bounded by the given curves, then find the area of the region.y=18/x^3 , y= 3/x^2 , x=3 , x=4
- Q We spent a bit of time working with parallelograms, trapezoids and triangles. Suppose that a shape has an area of 30 square units. Draw and label it if it is...
- Q A farmer wants to make a rectangular pen for his sheep. He has120m fencing material to cover three sides with the other sidebeing a brick wall. What dimensions would maximize...
- Q Your company wants to make the largest and most luxurious rectangular dog kennels possible with 56 feet of fencing. The design of the kennel is to use the back side...
- Q Jorge wants to make an open top box from a flat rectangular piece of cardboard measuring 12 inches by 24 inches. To do this Jorge will cut identical squares out...
- Q A piece of art is in the shape of an equilateral triangle with sides of 7 in. Findthe area of the piece of art. Round your answer to the nearest...
- Q The length of a rectangle is modeled by l(x) = 3x + 5x - 2 and its width is modeled byw(x) = 4x 1. Which of the following models the...
- Q The base of a triangle is eight more than twice the height. The area of the triangle is 285 square feet. Find the measures of the base andheight of the...
- Q A regular heptagon with 7 sides is inscribed in a circle with radius 9 millimeters. What is the area ofthe figure? (3 points)260.262 mm.221.649 mm.189.985 mm.231.664 mm.
- Q Mateo uses 94.5 feet of fence for a rectangular pen alongside his house. He only needs to fence three sides such that the pen's width is % of its length....
- Q Roger will pour concrete to make a sidewalk with the dimensions, in feet, shown in the figure below. He will pour the concrete to a depth of 4 inches. One...
- Q Select two solids for which the formula V = Bh applies.ConeCylinderPyramidRectangular PrismSphere
- Q A basketball court measures 1012 inches on the sides while the baseline stretches 695 inches. There is a circle in the middle of the courthat has a diameter of 72...
- Q A rectangular park is 120 yards long and 70 yards wide. Give the length and width of another rectangular park that has the same perimeter but a smaller area.
- Q contractor is designing a rectangular room that will have a pool table. The length of the pool table is twice its width. The contractor wishes to have 3 ft of...
- Q How much wrapping paper would you need to wrap a cylindrical gift with a height of 12.6 inches anda radius of 4.5 in? Round your answer to the nearest tenth.O...
- Q Coach Smith wants to paint his classroom walls red. Each wall is 25 feet long and 9 feet tall. The janitor says he can only order the paint in boxes...
- Q The volumes of two similar solids are 729 m and 125 m. The surface area of the larger solid is324 m. What is the surface area of the smaller solid?"...
- Q Sketch the graph of y = x + 3. Estimate the area under the curvein the interval [0, 4] divided into n = 4 subintervals using:(a) Lower rectangles(b) Upper rectangles
- Q Carmen wants to tile the floor of his house. He will need 1,000 square feet of tile. He will do most of thefloor with a tile that costs $1.50 per...
- Q Consider the solid S whose base is the triangular region with vertices (0, 0), (1, 0), and (0, 1). Cross-sections perpendicular to the y-axis are rectangles with height 5.Volume of...
- Q et R be the region bounded by the following curves Use the shell method to find the volume of the solid generated when R is revolved about the x axis...
- Q Let f be the function graphed below If 20 subintervals of equal length are used write a summation that would represent a right Riemann sum approximation of 2 f x...
- Q Tutorial Exercise Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x axis Verify your results using the integration...
- Q Let R be the region bounded above by the graph of y 1 2 and below by the graph of y 22 1 for 1 1 as shaded in the...
- Q Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about y = 8. 64y=x^3, y=0, x=8
- Q Find the volume generated by rotating the area bounded by the graph of the following set of equations around the y-axis.
- Q A particle is moving with acceleration given by a(t) = 6t-12 and an initial velocity of 9 m/s.(a) Find the velocity of the particle at time t.(b) Find the velocity...
- Q The infectivity of a certain pathogen is quantified by measuring the area between two curves. The greater the area between the curves, the greater the infectivity of the disease and...
- Q Refer to the figure and find the volume generated by rotating the given region about the specified line.
- Q The graph of the function f on the interval 0 s x s9 consists of three line segments and the point (4,-4), as shown in the figure. It is given...
- Q A graph consists of the line y=5 for 1 sxs 5 and y=-1 for-3 sxs 1. Find the accumulation of change under the curve from x=-3 to x = 5...
- Q Let x)=x, and compute the Riemann sum off over the interval [4, 51, choosing the representative points to be the midpoints of the subintervals and using the following number of...
- Q How long will it take the bar to reach 99 C? (Round your answer to one decimal place.)secA small metal bar, whose initial temperature was 30 C, is dropped into...
- Q The curve y = x, the line x = 2, and the x-axis form the sides of the bounded region. Find the volume of the solid generated by revolving about...
- Q The volume produced by revolving about the x-axis the region above the curve y= x, below theline y = 1 and between x = 0 and x = 1 is...
- Q Use a double integral in polar coordinates to find the volume V of the solid bounded by the graphs of the equations.z =?x + yz = 0x + y= 4
- Q For the regions bounded by y = 6cosx and y= 1/3x-7Part A: Find the limits of integration. (10 points)Part B: Write an expression representing the total area. (10 points)Part C:...
- Q Set up a triple integral for the volume of the solid. Do not evaluate the integral.The solid in the first octant bounded by the coordinate planes and the plane z...
- Q Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis. Verify your results using the integration capabilities of a...
- Q If a cup of coffee has temperature 92C in a room where the ambient air temperature is 21C, then, according to Newton's Law of Cooling, thetemperature of the coffee after...
- Q The traffic flow rate (cars per hour) across an intersection is r(t) = 500 + 600t - 120t^2, where t is in hours, and t=0 is 6am. How many cars...
- Q Determine whether the improper integral diverges or converges. ? ? x^2(e^-x)dx ...
- Q Let the region R be the area enclosed by the function f(x) = 2x and g(x) = 3x. If the region R is the base of a solid such that...
- Q The water level of a certain body of water is changing at a rate of W(t)=(3/4)cos(4-t/2) inches per hour, where t represents hours since 12 a.m.A): Using correct units, explain...
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