If a polyhedron has 15 faces and 25 edges, how many vertices will it have? vertices

Q: Find the characteristic polynomial and the eigenvalues of the matrix. -3 -4 4-2 The characteristic…

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Q: Find the average value of the function f(x, y) = 4/√√x² + y² on the annular region a² ≤ x² + y² ≤…

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Q: 13. Suppose a chess board has four grains of wheat on the first square, eight grains on the second…

A: Note:-Since you asked multiple questions, according tor our policy we can solve only first question…

Q: the following fraction in simplest form, only using posit (6h^(10)u^(4))/((-2h^(-4)u^(3))^(3))

A: (Xa)b = Xab (Xa)/(Xb) = Xa-b

Q: A bacteria triples every 35 minutes. There were 50 bacteria initially. How many bacteria will be…

A: The bacteria triple every  minutes.To find the number of bacteria after 3 hours, we need to…

Q: You want to be able to withdraw $50,000 from your account each year for 30 years after you retire.…

A: The solution is shown in step-2

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Q: Consider f and g in V = C[C

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Q: At Brick House Masonry Supply, it is time for annual pay raises for the fork lift operators. Cody…

A: Determine the employees pay after the raisesNow we calculate the raise amount for each employee and…

Q: Express as a single logarithm and, if possible, simplify. In x6 - 3 In ³√x5 In x6 -3 In √x5=…

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Q: 22. Your savings account earns an APR of 2.5% compounded quarterly. Find the APY.

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Q: The annual average price per square foot for office space in a city was $31.68 in 2004, and it was…

A: NOTE: Refresh your page if you can't see any equations..The given exponential function is,Where t is…

Q: 1. Show the polarization identity for complex inner product spaces: = (||u+v||² − ||u − v||² +…

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Q: Use the graph to answer the question. 10 10-8-6 -4 +2 6 8 10 170623 State the equations of the…

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Q: The set is a basis for a subspace W. Use the Gram-Schmidt process to produce an orthogonal basis for…

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Q: Solve the system of equations using matrices. Use the Gaussian elimination method with…

A: NOTE: Refresh your page if you can't see any equations..The given system is,The augmented matrix is,

Q: 3. Evaluate ff 2x + 5y dA over the region given by D = {(x,y)| 0≤x ≤ 1,x³ Sy, Sx³ + 1}

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Q: Find the first term and common ratio of a geometric series (GP) whose 2nd term is 6 and 8th term is…

A: NOTE: Refresh your page if you can't see any equations..For the geometric series, it is given that,…

Q: If f(x) = X 14x + 7 " then the domain of f includes all real numbers except x =

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Q: Find a vector x whose image under T, defined by T(x)=Ax, is b, and determine whether x is unique.…

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Q: A biologist has a 291 -gram sample of a radioactive substance. Find the mass of the sample…

A: According to Law of continuous Decay

Q: A cruise ship can sail 32 mph in calm water. Sailing with the Gulf Stream, the ship can sail 304 mil…

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Q: Solve the triple integral. [* L² L² x + y + z dx dy dz 2 -2 J-1

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Q: Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D. To save…

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Q: Find the dimension of the subspace spanned by the given vectors. 0 -2 1 3 4 18 5 -3 - 13 The…

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Q: Use the Laplace transform to solve the given system of differential equations. d²x dt² d²y +y-x = 0…

A: The given system of linear equations are:LetTransforming the first equation,Transforming the second…

Q: {x+y+z=0 {-x + 2y + 5z = 3 {3x - y = 6

A: Given system of Equations are as follows

Q: Find the focus, directrix, focal diameter, vertex and axis of symmetry for the parabola -33.12y =…

A: we know that the equation of a parabola is written asHere (h,k) is the vertex, (h,f) is the focus

Q: The number of bacteria Ph in a certain population increases according to the following function,…

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Q: Write the standard form equation for a hyperbola with center at the origin, vertices at (5,0) and…

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Q: Solve the following system of equations graphically on the set of axes below. 2x+4 x+y=-8 Plot two…

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Q: Use f(x)=x²-9 and g(x)=x² +9 to find a formula for each expression. Identify its domain. (a)…

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Q: 9 2 -6- -z- 2- -9 و

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Q: Use Cramer's Rule to solve this system of linear equations: x+y+z=1 -x-y+z=0 -6x - 2y- 4z = 8 Find…

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Q: Use a natural logarithm (instead of a common logarithm) to write the formula L(x) = 2 log x.…

A: The given formula .To convert the formula into a natural logarithm and find the value .

Q: The University of McMaster undergraduate program is growing at a rate of 3% each year. The current…

A: Since you have posted multiple questions, as per guidelines, we are supposed to answer only the…

Q: 11. Simplify completely 3√√√√612 a. b b. b⁹ c. b² d. b4

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Q: 7m³ = ? dm³ 3

A: I am going to solve the problem by using some simple algebra to get the required result of the given…

Q: 2 -5 -3 -2 -1 -2- 1 2 3 4 5 The function graphed above is: Increasing on the interval(s) Decreasing…

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Q: Mike uses the equation b = 1300(2.65)* to determine the growth bacteria in a laboratory setting. The…

A: given bacteria growth equation b=1300(2.65)^x

Q: Investigation 8.2m developed the formula for the sum of the measures of the angles of an n-gon which…

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Q: Find the absolute maximum and minimum for the given graph. 3 2 1 -5-4-3 -2 -1 -1 12345 -2 -3 -5+ 1 2…

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Q: The height / (in feet) of a ball thrown by a child is h(x) = -2²+42 +3 14 where is the horizontal…

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Q: Convert the integral evaluate. 25-2 √25-2² √√25-1² NOTE: Enter exact answers. The integral in polar…

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Q: Can you make a pyramid in which the triangular faces are not all congruent? Yes. Such a pyramid has…

A: Here we want to find if it is possible to make a pyramid in which the triangular faces are not all…

Q: Given the function [41-9 <0 f(x) = 42-18 220 Calculate the following values: f(-1) = f(0) = f(2)=

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Q: Use the graph of the polynomial function shown below to identify the zeros of the function and the…

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Q: This exercise refers to V = C[0,1], with the inner product given by an integral. Compute ||g|| for…

A: The function is given by:-We need to find the length of the function .Formula:-

Q: Use a graphing calculator to find A1, if it exists. - 1 6 +34 A = -1 -2 Select the correct choice…

A: I am going to solve the problem by using some simple algebra to get the required result of the given…

Q: Which value of t is NOT in the domain of the function g(t) = 11 30 11t 32 -

A: given function To find the value that is not in the domain.