Basic Math question and answers for October 25, 2024
- Q v = 3i+ja. Sketch v on a pair of coordinate axes.b. Find the magnitude of v and its angle above or below the positive or negative x-axis. Label itsmagnitude and...
- Q A drone is flying at 200 kilometers per hour at a constant altitude of 1km above a straight road. The drone pilot uses radar to determine thatan oncoming motorcycle is...
- Q Consider the vectors u = < 4,5 > and v= <-2, -1 > Sketch each vector addition problem on a setof coordinate axes below, and find the components, magnitude, and...
- Q Which is traveling faster, a car whose velocity vector is 25i +30j, or a car whose velocity vector is 40i, assuming that the units are the same for both directions?
- Q A bullet is fired into the air with an initial velocity of 1000 feet per second at an angle of 55 from thehorizontal. The horizontal and vertical components of the...
- Q A boat is heading due east at 32 km/hr (relative to the water). The current is moving toward thesouthwest at 11 km/hr.1. Give the vector representing the actual movement of...
- Q Find the x- and y-components of the given vector by use of the trigonometric functions. The magnitude is shown first, followed by the direction as an angle in standard position.17.8...
- Q Determine the unit vectors in the specified directions. Write your answers in the form (?, ?), where U?and 1? do not involve trigonometric functions. and (a) The unit vector in...
- Q Find the direction angles of the given vector. Write the vector in terms of its magnitude and direction cosines as v= ||v|| [(cos ?)i + (cos )j + (cos y)k].v=-2i-9j+6k
- Q Resolve the vector given in the indicated figure into its x-component andy-component.A=0.4-0(Round to the nearest tenth as needed.)*****A=726.80=45.0QQ
- Q Vector A points in the negative y direction and has a magnitude of 15 units. Vector B has twice the magnitude and points in the positive a direction. Find the...
- Q Given vector E=<6, -1> and F=<1, 2>, find ||2E||.O 1482?37<12, -2>4?37
- Q Given the vectors in component form below.A<-3, 1>B<0, 4>C < 2, -5>D<-3, -3 >Determine B-C.<-2,9><0, -20>not possible<2, -1>
- Q Determine the component form for vector AB if A(-3, 4) and B(2, 0).<5, -4><-5, 4><-1, 4><1, -4>
- Q Find the unit vectors associated with the following vectors:a) <0,4>b) -3,0>c) <-3,4>d) < 2,1>e) < 5,-4>
- Q 1-4, prove that RS and PQ are equivalent by showingthat they represent the same vector.1. R = (-4, 7), S = (-1, 5), P = (0, 0), and Q =...
- Q An airplane has an airspeed of 490 kilometers per hour bearing N45E. The wind velocity is 40 kilometers per hour in the direction N30W. Find the resultant vector representing the...
- Q A crate is supported by two ropes. One rope makes an angle of 45 23' with the horizontal and has a tension of 80.9 lb on it The other rope...
- Q Vectors t= -6i - 2j, u = -4i-8j, and v= -4i + 12j are givePart A: Find the angle between vectors t and u. Show all necessary calculations. (5 points)Part...
- Q An object experiences two velocity vectors in its environment.V? = -50i + 4jV? = 5i + 15jWhat is the true speed and direction of the object? Round the speed to...
- Q A vector has a magnitude of 50 and a direction of 30. Another vector has a magnitude of 60 and a direction of 150. What are the magnitude and direction...
- Q Vector v = RS has points R(-2, 12) and S(-7, 6). What are the magnitude and direction of RS? Round the answers to the thousandths place.||v|| = 7.81; ? =...
- Q Find the velocity and position vectors of a particle that has the given acceleration and the given initial velocity and position.a(t) = 3i+ 8j, v(0) = k, r(0) = iv(t)...
- Q A vector has initial point A (7.7, 8.8) and the terminal point B (2.7, 0.8). What are the components of the vector?x-component is 7.7 and y-component is 0.8O x-component is...
- Q Let U and W be two subspace of a finite dimensional vector space V over a Field F, Thendim U+dim W - dim(U ? W)Option 1:dim U+dim W - dim(U...
- Q Find the volume of the parallelepiped with adjacent edges t = 3j - 4j 6k, u = 3i - 7j - 7k and v = 5i+j+ 3k.94 cubic units278 cubic...
- Q This is a bonus question. You may earn up to 10 points on this question (even though the point total is listed as O). Exactly two of the following statements...
- Q If the vector u has magnitude 2 and direction 320 (relative to the positive x-axis), what is the component form (x, y) of the vector? Round your answer to the...
- Q Find the angle between u = = (-8, -6) and v = (12, 5). Round your answer to the nearest tenth of a degree.
- Q Consider the cone z = x + y and the sphere x + y + z = 18. They intersect at the point (0, 3, 3), among others. Find the...
- Q An airplane is taking off headed due north with an air speed of 173 miles per hour at an angle of 18 relative to the horizontal. The wind is blowing...
- Q Find the area of the parallelogram with adjacent sides u = ?4i - 9j + k and v= ?6i + j + 5k.about 75.3 square unitsabout 71.5 square unitsabout 8.7...
- Q Suppose you have three vectors in component form:a = 3 ftx - 2 ft? + azzb = bxx + 6 ft? - 1 ftzc = 3 ftx + c?y +...
- Q Calculate the perimeter of the rectangle shown below Enter the value for the perimeter in the first blank and enter the units in the second Enter units as ft or...
- Q Consider the 3D vectors u=4i - 2j+ k and v=3i + 6j.a. Find a unit vector in the opposite direction of u.b. Find a vector parallel to v.
- Q An ellipse is formed when a plane slices through a cone Which of the following describes the relationship between the plane and the cone The plane is parallel to the...
- Q 3 1 point A crystal paperweight in the form of a square pyramid is represented by the figure below 4 9cm 6 cm What is the volume of the paperweight...
- Q Unit F Representing 3 D Objects Chapter 11 Assignment 2 7 A friend took a picture of a plant she found in the mountains To give an idea of scale...
- Q 19 A local musician carries her portable speakers in a cylindrical container The dimensions of the container are shown in the drawing 15 in 3 in Which measurement is closest...
- Q If the volume of a rectangular prism is V x 11x 36x 36 and one has a side length of x 6 what is the length of one of the...
- Q Tori is creating an informal argument for the formula for the volume of a square pyramid To start she considered a cube with side lengths of 10 units Then Tori...
- Q The figure below shows a cone contained within a cylinder The tip of the cone touches the top of the cylinder 4 in Which of the following is closest to...
- Q This is an essay type question. Although Canvas provides space for you to type an answer, you do not need to type anything. This question will be graded completely based...
- Q Two pyramids are similar with a ratio of surface areas of 25:64. Find the volume of the second pyramid given that the first has a volume of 250 m.A 61.0...
- Q Let VC R5 be the subspace Vspan {(1, 0, -3, 5, 0), (0, 2, 0, 0,3)} and let w = (-5, 0,5, -3, -4).(a) Find the orthogonal projection of w...
- Q For the equation below, eliminate the xy-term and find the standard form of the conic in terms of x' and y'. Sketch the conic on the rotated axes. 41x-24xy +34y-25=0
- Q Assume that you want to approximate a function f(x, y, z)=x + y +2 by a line function ((x, y, z)= a?x+ay+at+e such that f(x, y, z)=(x, y. 2) at...
- Q (b) What is the group of all symmetries of the tetrahedron, including those thatreverse orientation (and are therefore no longer rotations in 3-space)? (Hint: it's S?. Why?)
- Q The diagram represents a regular pentagonal pyramid. The measurements unit is feet. (Round your answers to two decimal places.)(a) Find the area of the base.ft(b) Find the lateral area of...
- Q Rewrite the following rectangular equation in polar form.y=3x
- Q Find an equation of the line where the planes Q and R intersect.Q: -2x+3y-z = 1; R: x+y+z= -1Choose the correct answer below.A. An equation of the line is given...
- Q Which revolution will generate a cylinder? None of the other answers are correct Rotate a circle 360 about one of its diameters. Rotate a rectangle 360 about one of its...
- Q Identify the transformations. Sketch a graph of the following functions as a transformation of the graph of a toolkit function by first graphing the toolkit function, then the progression of...
- Q Draw the shape, Find (b) period, (c) amplitude, (d) width, (e) shift (f) (x?),x?, x?, x?, x?, x?, and (g) sketch a graph of the function through one full period,...
- Q The density of water is 1 gram per cm^3. An object floats in water if its density is less than water's density, and it sinks if its density is greater...
- Q Which of the following statements is true?Enter a, b, c, d, or e.a. All trapezoids are parallelograms.b. All squares are rectangles.c. All rhombus's are squares.d. Trapezoids are not convex.e. None...
- Q Which of the following statements is false?Enter a, b, c, d, or e.a. All squares are rectangles.b. All rhombuses are squares.c. All trapezoids are polygons.d. All rectangles are quadrilaterals.e. None...
- Q The original photograph shown is 4 inches by 6 inches.a. What transformations can you use to produce the new photograph?b. You dilate the original photograph by a scale factor of...
- Q Brian made a rectangular prism with a length of 6 in., a width of 4 in., and a height of 8 in. If he doubled the height and width, what...
- Q What is the volume of a sphere with a radius of 24.2 ft, rounded to the nearest tenth of a cubic foot?
- Q What is the volume of a hemisphere with a diameter of 7.1 ft, rounded to the nearest tenth of a cubic foot?
- Q The top of a gumball machine is a 20 in. sphere. The machine holds a maximum of 3,500 gumballs, which leaves about 56% of the space in the machine empty....
- Q A cylindrical fish tank at the zoo has a capacity of 7252 cubic feet. What is the height of the tank if its radius is 16 feet? Use = 3.14...
- Q A cylinder has a radius of 4 it and a height of 6 ft. A cone has the same radius as the cylinder. Find the height of the cone ifthe...
- Q If each edge of a cube measures 4 ft, how many pints of paint would it take to paint the entire cube if one pint of paint covers 25 square...
- Q Sketch the graph of the surface z = 2x.
- Q Determine whether the planes are parallel, perpendicular, or neither.3x + 12y - 9z = 1, -15x + 30y + 35z = 0parallelperpendicularneitherIf neither, find the angle between them. (If the...
- Q Which statement below describes two polygons which are similar?a) Corresponding angles and sides are congruent.b) Corresponding angles are congruent and corresponding sides are proportional.c) corresponding angles and sides are proportional.d)...
- Q A right circular cone is inscribed inside a larger right circular cone with a volume of 200 cm. The axes of the cones coincide, and the vertex of the inner...
- Q Ice Cream: An ice-cream cone has a radius of 2.3 cm and a height of 6.7 cm. The cone is filled with ice-cream andone additional scoop in the shape of...
- Q An aquarium tank (like at a zoo) measures 5.1 meters by 7.1 meters by 8.1 meters tall. The tank is filled to 1 foot below the top of the tank.Things...
- Q 3. Use the diagram to answer the following questions.a) How many points appear in the figure?b) How many lines appear in the figure?c) How many planes appear in the figure?d)...
- Q A can of soup weights 12.5 ounces. You decide you want to find the density of thesoup. The cylindrical can of soup is 5 inches high with a radius of...
- Q litem Which of the following are parameterizations of the line that is the intersection of theplanes given by the equations x - 2y + z = 2 an x -...
- Q A plane passes through the point (1,0,- 2) and is perpendicular to the vector < 2,1,- 3>. (3points)a. Find the equation of the plane. (1 point)b. Find the z-intercept of...
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