There are many square prisms with volume 125 in³. Let w represent the side length of the square base and h represent the height in inches. Then the formula for the volume V, in cubic inches, of these prisms is V = w²h and the equation for the surface area S, in square inches, is S = 2w² + 4wh. h W W Write an equation for S as a function of w when the volume of the prism is 125 in³. Enter your response and your explanation in the space provided. You may also use the drawing tool to help explain or support your answer.

Q: have this kind of examples so can you: prove or disprove by giving a counterexample. 1. If A is a 2…

A: Since we are given with the multiple number of question and our guideline is solve  first question…

Q: Graph each transformation of the parent function f (x)=√x. Analyze the effect of the transformation…

A:

Q: Please help me answer this question.  Thanks.

A: The objective of this question is to find out how much radium will be present after 140 years given…

Q: term, a4 17 81 the 12th term, a12. If applicable, write your answer as a fraction. For a given…

A: L

Q: Use the following statement to answer parts a) and b). One hundred raffle tickets are sold for $3…

A: Use the following statement to answer parts a) and b) One hundred raffle tickets are sold for $3…

Q: Solve the system. Write your answer as an ordered triple.x−y+2z=−2 3x+y+5z=11 2x−y−2z=−17 (x,y,z)=

A: Given System of Equations

Q: Write an equation of the line below. -8 -7 -6 -5 -4 -3 As DO 5 5- 4+ 3+ -2. 1 2 6

A: Equation of line passing through is given as

Q: Find the transition matrix P from ordered basis B₁ to ordered basis B₂. 1 5 2 4 B₁ = {[}][{]} and B₂…

A:

Q: Suppose [v] is as follows. B₂ [V]B₁ [V]B₂] 2 = = 6 8 10 If ordered bases B₁ B₁ = {[7] [4]} and B₂ =…

A:

Q: From the given augmented matrix determine the corresponding system of equations. (Use x, y, and z as…

A:

Q: Let f(x)=x^2+5x+10 determine average rate of change -5≤x≤t

A:

Q: The logistic growth function f(t)= 720 1+8e-0.141 size of the butterfly population that the habitat…

A: We find the limiting size of the population by using the concept of limits

Q: Find any of the values a₁, d, a, n, or S that are missing from the arithmetic sequence.

A:

Q: Find a parametric equation for the line of intersection of the planes 9. 2x + 3y + z = 11 and 4x +9y…

A:

Q: Use of the internet for shopping is increasing dramatically, but still is somewhat age dependent.…

A:

Q: Current Attempt in Progress Give the starting value a, the growth factor b, the percent growth…

A:

Q: The first three terms of an arithmetic sequence are as follows. 9, 4, 1 Find the next two terms of…

A: First three terms of an arithmetic sequencehere need to find next two terms of the given sequenceif…

Q: Jim places $10,000 in a bank account that pays 9.8% compounded continuously. After 2 years, will he…

A:

Q: 6) Solve the inequality |x − 4| +6 > 10 and write your answer in interval notation in the box.

A: To solve the following inequality.

Q: Supppose A is an invertible n x n matrix and is an eigenvector of A with associated eigenvalue 8.…

A: Supppose A is an invertible n x n matrix and v is an eigenvector of A with associated eigenvalue 8.…

Q: Find eigenvalues and eigenvectors for the matrix The smaller eigenvalue The larger eigenvalue has an…

A:

Q: Find the characterstic polynomial of A Using your answer to part (a), check that X₁ A. What are…

A: Please note that as per bartleby guidelines, I can answer only one question.

Q: →* x = →→* Find the least-squares solution x of the system 11 2 -2 5 −1 1 5 x = 11 -7 -15

A: Let A be an m×n matrix and let b be a vector in Rn. Here is a method for computing a least-squares…

Q: tility to verify your results. (If an answer cannot be calculated, enter IMPOSSIBLE into any cell of…

A:

Q: Solve the system of linear equations (a) Suppose the coefficient matrix is A = Find A matrices. -1…

A: Given dataSystemof linear equations,

Q: How do I express as a trinomal

A:

Q: What is the ones digit in the number 2^2027? Hint : Start with smaller exponents to find a pattern.

A: The objective of this question is to find the ones digit in the number 2^2027. To do this, we need…

Q: Suppose f: R2 →→ R2 is a function and f(an) = bn for n = 1,2,3. . 4 3 2 1 The function choose -1 -2…

A: We have given a function .From the given graph we can conclude that-

Q: 17) f(x) = 75 0.05X A) Exponential decay function; -0.95% C) Exponential decay function; 5%

A: f(x)=75. 0.05x

Q: Find the volume of the figure. 5 in. H = 17 in. 9 in.

A:

Q: Find the determinant of the following matrix 1 -1 0 3 2 5 -6 -2 0 (see c

A:

Q: Solve the equation. log2 (2x+3)=3 Change the given logarithmic equation to exponential form. (Type…

A: Given,

Q: 2) If A₁ = [9] B₁ = [5] 4₂ = [4], B₂ = [] find the location of the pole.

A: To find the location of the pole, we need to first find the equations of the two lines that support…

Q: Find the Equation of a line given the particular situation: a. Line is perpendicular to 2x - 3y = 8…

A:

Q: { X H x + y Let W be the set of all vectors y with x and y real. Find a basis of W¹.

A:

Q: A truck's average fuel mileage is 21 mpg. The truck averages 12 mpg when pulling a trailer. The fuel…

A: The truck's average fuel mileage is 21 mpg.The truck averages 12 mpg when pulling a trailer.Total…

Q: Company A pays $41,500 yearly with a guaranteed raise of $1,300 per year. Company B pays $44,000…

A:

Q: The linear tranformation L defined by L(p(x)) = 9p' + 7p" maps P4 into P3. (a) Find the matrix…

A: Given that the linear transformation defined by (a) (b)

Q: Explain what happens to the base function when and why when it went from  a(x)= x^2 to i(x) =…

A: The objective of the question is to understand the transformation of the base function a(x) = x^2 to…

Q: determine whether the series converges, diverges to ±∞, or diverges, not to ±∞. If the series…

A: We have given series and we have to find whether the series converges, diverges to ±∞, or diverges,…

Q: Let f: R²R be defined by f((x, y)) = -8x - 7y. Is f a linear transformation? a. f((x1, y1) + (2,…

A: We have to check the linear transformation

Q: Write the function shown in each graph.

A:

Q: Find, if possible, A + B, A − B, 7A, and 7A − 3B. Use the matrix capabilities of a graphing utility…

A:

Q: h(x)=3*√(2x-5) inverse

A: The objective of the question is to find the inverse of the function h(x) = 3 * sqrt(2x - 5).

Q: . What is true about the function f(x) = a. f(x)0 from above b. f(x)0 from below x-3 Over what…

A:

Q: The population of a colony of mosquitoes obeys the law of uninhibited growth. Use this information…

A: The population of a colony of mosquitoes obeys the law of ininhibited growth.(a) To express N as a…

Q: 13) Use systems of equations to work these applied problems. Dry Cleaning: Mario took clothes to the…

A:

Q: Sales representatives at a car dealership were split into two groups. One group used an aggressive…

A:

Q: Z -IN 2 XZ a. 2 Z C. Z N/W Ob. 1 - 3 2 d. Z 3 √z =

A:

Q: Find the 51st term of the following arithmetic sequence. 7, 13, 19, 25, 8 08

A: SolutionThe given arithmetic series 7, 13, 19, 25,........a=7 ,b=13-7=6