A container is filled with 70 liters which is 40% alcohol by volume. How much of a mixture must be taken and then replaced with equal amount of water so that the resulting solution is 30% alcohol by volume?

Q: Suppose that the augmented matrix of a system of linear equations for unknowr 11 8. -5 1. 3. 33 -3…

A:

Q: Explain how the graph of g is obtained from the graph of f. fx) = x², g(x)= x²+2 a. The graph of…

A: Given, f(x)= x² g(x)= x²+2 We know that both the equations are that of parabolas. Graphing both the…

Q: Solve the following inequality. (x-7)(x+4)°(x-1)>0 Write your answer as an interval or union of…

A: Consider the inequality  x-7(x+4)2(x-1)≥0

Q: Suppose the graph of f is given. Describe how the graph of the function can be obtained from the…

A: Solution ) if we have y = f(x)  So y = f(-x) is reflects y = f(x) in y axis  For example if we have…

Q: Write the equation of the line slope = 1/4 and y-intercept =(0,-5)

A: We can write the equation of line as below.

Q: Consider the following polynomial function. S(x) =x (x- 2)(x+ 1)? Answer the questions regarding the…

A: f(x)=x(x-2)(x+1)2 (x+1)2>0 for x<0:x<0, x-2<0,f(x)>0for…

Q: QUESTION 5 f(x) = x* + x3 – 2x? For the above function state all intervals of x where f(x) is…

A: The given function,       fx=x4+x3-2x2

Q: V8x + 25 - x- 2 = 0

A: We have, √(8x +25) - x - 2 =0 => √(8x + 25) = x + 2    On squaring both side

Q: Find all solutions of the equation in the interval 0, 2n). 2 sin 4x cosx-2 cos 4x sin x=-1 %3D Write…

A:

Q: et X be a random variable that follows the normal distribution with mean 40 and variance 10. nswer…

A:

Q: Below is the truth table for some function. Write the sum-of-products form of the function Iy f(r,y)…

A: Given

Q: $791,000

A: answer is in next step

Q: Given the system of equations: a + y + z = 7 y – 3z = - 3 2x + y + 5z = 18 (a) Determine the type of…

A:

Q: 1 Find the inverse function of f(x) = 2x +4 1 Of(x) = 4x+ 2x Of(x) = 4x +2 Of-(x) = 2x-1 Of(x) = (x+…

A: This question is based on finding an inverse of a function.

Q: Suppose that the augmented matrix of a system of linear equ 7 1 -2 7 7 -2 4 2 -8 7 7 | Solve the…

A: The agumented matrix,1-27474-24-72-724-877

Q: 1- R1 = {(A, B) E P(X) × P(X)/A S B} 2- R2 = {(A, B) E P(X) × P(X)/AN B + 0} %3D

A:

Q: 2647+44=

A: Given problem:- 2647+44=

Q: Show that Q(V3, V3) = Q(v3+ V3) %3D

A:

Q: Find the integral [((-1)*(c+1)x+(a+1)) cos((b+1)x+(c+ 2))dx -

A:

Q: Identify the indicated submatrix. 6 3 1 -6 0 -1 Find A21. . Find A = 0 7-3 7 3 Select one: O A.[ -6]…

A: A21 = element of second row and first column eliment 21 first show row and second show column here…

Q: List the first five terms of the sequence. a1 = 4, an + 1 = 2a, + 6 %3D %3D

A: Given  a1=4,  an+1=2an+6

Q: The graph of y = h(r) is given in the dotted graph. Determine the number of the graph of the…

A: Given data÷

Q: x² + 22 f(x) g(x) + The partial fraction decomposition of can be written in the form of (x – 3)(x² +…

A:

Q: Use the rational zeros theorem to list all possible rational zeros of the following. g (4) - 5x- 4x'…

A: Thee rational zeros theorem is given below.

Q: Use inverse matrices to find the solution of the system of equations. S 3x + 5y = Зу 42 2x - 10 -…

A:

Q: j. For any 3 x 3 linear system AX O if det A #0 Then Select one: O the linear system is inconsistent…

A:

Q: 3. Which number shows 8.356 rounded to the nearest hundredth? A 8.34 B 8.35 C 8.36 D 8.40

A:

Q: a b Show that W |a,b ER} is a subspace of M2x2. %3D -b a

A:

Q: Use the equations for the total cost C and total revenue R to find the number x of units a company…

A: Topic:- function

Q: w - 4w+ 4 + (w-2) 3w-6

A:

Q: 4 Find a unit vector in the direction of 3 1 A unit vector in the direction of the given vector is…

A:

Q: 90 Btuz Cal

A:

Q: Rewrite the expressions as a single logarithm. log,(x-3)-2 log, y- 3 log,(x+ 1)

A: Given query is to write the expression is single logarithmic expression.

Q: 14 cm 230 cm 2.1.1 Determine the length of the radius of the window. 2.1.2 Determine the value of K…

A:

Q: Consider the integral dx. Which of the following expressions represents the integral as a limit of F…

A: The solution is given below.

Q: Write the following as a percent. 0.094 O A. 0.009% O B. 0.094% OC. 94% O D. 9.4%

A: A number 'b' can be converted into percentage by multiplying with 100.So, it becomes b%

Q: Let A and B be the following matrices. -3 А 3D[-1 3 3 6], B 8 Perform the following operations: A·B=…

A:

Q: The graph of a quadratic function with vertex (-3, -1) is shown in the figure below. Find the range…

A: Here we have to find the range and domain.

Q: [2 Compute: 1 4 2 - . Preview

A: Solving the problem by finding the the multiplication of the given matrices.

Q: Rationalize the denominator of 4 81 Assume that all variables represent positive real numbers. 1 4x°…

A: Rationalize the denominator

Q: Abstract Algebra Prove that if D is an integral domain then D[x] is an integral domain

A:

Q: 7 1 -4-8 -1-7 -10 2 [E [G -4 2 15 -10 4 -3 0 [E] + [G] =

A:

Q: The graph of fis given. Sketch the graph of the function y= -fx) + 3. 6 5 3 ++++ -7 -6 -5 -4 -3 -2…

A:

Q: For 81-90, find the indicated information for the given function: j(x) = .Some may have x+1 more…

A: Let's find.

Q: (a) Write the equations for all vertical and horizontal asymptotes. Enter the equations using the…

A: We have to find the vertical, horizontal, x and y intercepts.

Q: Graph on a coordinate plane or explain how to graph 4x+y>=4

A:

Q: 7 – 6 8 -8 -5 + -5 6 Add: - 8 -7 -3 5 4 8

A: 37-8-5-8605+-68-56-7-348=3+(-6)7+8-8+(-5)-5+6-8+(-7)  6+(-3)0+45+8

Q: Problem 12-31 (LO. 4)

A: answer is in next step

Q: in įven linear factor. 32) (2x – 17x 38) (x – 3) :- 32 -(7 -38 ス

A:

Q: How many elements are in the set {0, {0}}?

A: