The measure of the height of a box with a square base is twice the measures of the sides of the base of the box. If the volume of the box is 128 cubic cm, find the dimensions of the box.
Please show all work step by.
The parking cost at the local airport (in dollars) is C=2+1.75(h-1) where h is the number of hours. for what range of hours is it parking cost between $37 and $51.
The monthly charge for a waste collection service is 30 dollars for 90 kg of waste and is 50 dollars for 170 kg of waste.
(a) Find a linear function for the cost, C, of waste collection as a function of the number of kilograms of waste,.
The period of a pendulum is the time the pendulum takes to swing back and forth. The function L= 0.81 t^2 relates the length L in feet of a pendulum to the time t in seconds that it takes to swing back and forth. A convention center has a pendulum.
The number of high school students who have ever use marijuana for the years 1985 through 2001 is given by y=-0.1937x^2 +4.0095x +27.5645, where X is the number of years from 1985. Use the model to estimate the years when the percent who ever used marijuana is greater than 42.1%.
.
The next four questions are related to the following problem. Students at Upscale U. are required to take at least 4 humanities and 4 science courses. The maximum allowable number of science course is 12. Each humanities course carries 4 credits and each science course 5 credits. The total number.
The number of students with cell phones in the city of Oakridge was 100 in the year 2000. The number of cell phones increased 224% annually.
a. What exponential function describes the number, y, of cell phones owned by high school students x years after 2000?
.
The matrices form a basis for the linear space V = R2 times 2. Write the matrix of the linear transformation T :R2 times 2 rightarrow R2 times 2 such that T(A) = 10A + 15AT relative to this basis.
The navigator's on-board instruments indicate that the length of the space ship is 20 m. If the length of the ship is measured by the inertial earth-bound observer, what value will be obtained?
A space ship traveling east flies directly over the head of an inertial observer.
The matrix on the right results after performing a single row operation on the matrix on the left. Identify the row operation [-3 13 -11 1 -6 2 0 4 -5] ~ [6 13 -11 -2 -6 2 0 4 -5] 2R_2 longrightdoublearrow R_3 -5R_1 longrightdoublearrow R_1 -2R_2 longrightdoublearrow R_2.
The order of Liner Homogenous Relations.
Hey guys, I am a little bit confused about the order of the liner homogenous relations.
If I have a relation such that an= 7an-2 - 6an-3; is the order 3? Since we need the third term? Or.
The metro food services company delivers fresh sandwiches each morning to vending machines throughout the city. The company makes three kinds of sandwiches---ham and cheese, bologna, and chicken salad. A ham and cheese sandwich requires a worker 0.48 minutes to assemble, a bologna sandwich requires 0.43 minutes, and a chicken.
The plane that passes through the point (0,4,2) and is perpendicular to both 5y + 2z = -15 and y - 2x + 2z = 11 has _________________________ as its implicit equation..
What is the simplest fourth order polynomial that satisfies boundary conditions for a uniform beam that is calmped at one end and simply supported at the other..
The number of traffic accidents in a town in 10 randomly chosen rainy days in 2012 is as follows: {4, 0, 6, 5, 2, 1, 2, 0, 4, 3). Use these data to estimate the proportion of rainy days in this town that had 2 or fewer accidents that year..
The maximum acceleration attained on the interval 0<=t<=3 by the particle whose velocity is given by v(t) = t^3 - 3t^2 + 12t + 4 is?
Is the derivate acceleration or the second derivative?
Please also include steps
Thanks a lot!.
The path of a falling object is given by the function s=-16t+vot+so where vo represents the initial velocity in ft/sec and so represents the initial height.The variable t is time in seconds, and s is the height of the object in feet.
a) If a rock is.
The matrices A, E_1, and E_2 from problem 1 Define the matrix Compute the matrix Show that A = LU. Solve Ly = b using forward substitution, Solve Ux = y using backward substitution..
The Matrix A={(1,-2,-2,-3),(2,-4,-2,-6),(3,-5,0,-4),(-1,4,2,3),(-6,-1,-8,3)} has reduced row Echelon Form R={(1,0,0,0),(2,0,0,0),(0,1,0,0),(0,0,1,0),(-2,-3,-5,0)} A)What is the RANK of A? B)What is the NULLITY of A? C)Find a basis for the NULLSPACE of A? D)Find a BASIS for the ROWSPACE of A, and FIND a basis for the COLUMNSPACE of A?.
The number N of spheres in a pile is polynomial function given by
N(s) = 1/6s^3 + 1/2s^2 + 1/3s where s is the number of layers and N(s) is the number of spheres. Find an equivalent expression for the function by factoring out a common factor.
.
The multiplicative inverse of a complex number z is 1/z where z does not equal 0. Find the multiplicative inverse or reciprocal of the complex number 3- 13i. Then use complex conjugated to simplify. Check answers by multiplying by original numbers. The multiplicative inverse of 3- 13i. Type in the.
The one-to-one functions g and h are defined as follows. g = {(-9, 3), (2, 4), (8, 2), (9, l)} h(x) = 3x + 10 Find the following. g^-1(2) = h^-1(x) = h^-1 o h)(-5) =.
What is the sound intensity if you take your book and hold it 2.0m above the floor and then drop it on the floor.
A)what is the sound intensity at the source?
B)what is the sound intensity 1 meter away?
C)what.
The planes 5x2y+3z=5 and 4y2z=14 are not parallel, so they must intersect along a line that is common to both of them. The vector parametric equation for this line is?.
The perimeter P of a rectangle with length l and width w is P=2l+2w. If the length is five times the width, express the perimeter P as a function of w..
The measures of two supplementary angles are (3x + 6) and (5x + 14). Find their values.
The measures of two supplementary angles are (x + 6) and (4x + 4). Find their values.
The measures of two complementary angles are (3x + 6).
The Ministry of Highways requires a mixture of sand and salt to spread on BC%u2019s roads during the
winter. The mixture must contain not more than 70% sand and not less than 10% salt. (It may
also contain gravel, dirt, and other materials.) Products.
The matrix A is 3 times 5 and {(-1 2 0 1 1 },{3 -1 1 -1 1),(1 1 1 1 1)}is a basis for Nul A. Give the rank of A the matrix A is 3 times 5 and {-1 2 0 1 1),(3 -1 1 -1 1),(1 1.
The monthly revenue R(p) (in hundreds of dollars) realized in the sale of Royal electric shavers is related to the unit price p (in dollars) by the equation R(p) = -1/2 p^2 + 30 p. Find the revenue when an electric shaver is priced at $30..
What is an orthogonal matrix U that diagonalizes the symmetric matrix [6 -2 -2 3]? U = 1/ root 2 [1 1 -1 1] U = 1/ root 3 [1 root 2 ?root 2 1] U = 1/2 [root 3 1 -1 root 3] U = 1/ root 5 [-2.
what is the time complexity for this code:
For (int i = 1 to n) {j = i while(j < n) {k = j while (k < n) {Sum + = a[j]*b[k]*c[x] K + = log log n j log (j + 5)
.
