2.) A water tank can be filled by an intake pipe in 12 hours. A draining pipe can empty the water tank in 18 hours. If both pipes are open, how long will it take to fill the tank?

Q: Question 2. (a) Assuming that the equation determines a differentiable function f such that y f(x),…

A:

Q: a6 15552 аnd as — 3359232 О 2,8, 32, 128, 512 -2, -8, -32, -128, -512 о 2, -8, 32, -128, 512 о 2,…

A: On solving this we will get

Q: es RR, RW, and WW, re w.

A: answer in next step

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A: In a right-angled triangle, the perpendicular bisectors of sides intersect at the midpoint of the…

Q: Question 5 Find the determinant of the matrix, a b 2d + a 2e +b 2f +c h i where a d f = 7. e i A) 21…

A:

Q: 7. Mrs. Yang borrowed P14,500 from a lending institution that charges 5 1⁄2 % simple discount. How…

A: Solution: borrowed amount P = 14,500 simple discount = 5.5%

Q: A vehicle factory manufactures cars. The unit cost C (the cost in dollars to make each car) depends…

A:

Q: Let f(x) = -9x + 5 and g(x) = 12x + 4. (a) Find g(x) – f(x). (b) Find f(x)g(x). (c) Find g(f(x)).

A: Given,  g(x)=12x+4 f(x)=-9x+5

Q: Graph the exponential function. g (x) = Plot five points on the graph of the function. Then click on…

A:

Q: Copy this diagram and shade two more squares so that it has rotation symmetry of order 4.

A: solution is as follow

Q: 3+5i, 3-5i, - 1

A: answer is in next step

Q: Question 3 Find the determinant of the matrix 4 0 -7 3 -5 7 3 -6 4 -8 5 0 -3 0 0 9 -1 2 2.

A: 40-73-50020073-64-85052-3009-12

Q: Problem 6 Given the series 5¢.25x + 125x + 625 x? +: a) For which values of x does the series…

A:

Q: 7)4015280

A:

Q: The other day, you won $250 on a scratch ticket . You plan to deposit the money into your savings…

A: Given query is to find the amount after 5 years.

Q: 5. Consider AB. How could you show a dilation of this line using point P as the center of dilation?…

A: A segment AB is given.  For easy understanding the scale is provided at the back ground.  Only one…

Q: 18. Which of the following homogeneous systems have a nontrivial solution? (a) x+ y + 2z = 0 2х + у…

A:

Q: Complete parts a and b. a) Write the circuit ACBDA, but begin with vertex B. b) What is the reversal…

A:

Q: 3. P5000 is invested for a period of some years at a rate of 7%, compounded monthly. At the end of…

A: P5000 is invested for a period of some years at a rate of 7%, compounded monthly. At the end of the…

Q: Name, The graph of either a cubic or quartic polynomial f(x) with leading coefficient ±1 and Integer…

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Q: Question 2 Find the determinant of the matrix 1 1 1 (A) undefined B) 0 -1 D 1

A:

Q: 2, -8, 32, -128 O an = a-1 · 4 a1 = O an = an-1:-4 a1 = - %3D O an = an-1 ·–4 aj = 2 O an = an-1:4…

A: Follow next step

Q: Use f(x) below to find f(-1).f(1) and f(2). 2+V-z, if z <-1 -4x, f(z) = %3D if -1<z<2 8, if z 22 O…

A:

Q: Find the circumference and the area of a circle with radius 6 cm. Use the value 3.14 for t, and do…

A:

Q: • Solve in integers the equation 2x² + 2xy + 8y² = 6x + 3y

A: SOlution is given belw

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A:

Q: Two multipedes were dancind together at a party,and trying hard not to trip over each other's feet!…

A: Let one multipled has x legs and another has y legs. So from the first conversation we get, x+2=y-2…

Q: 1 Determine whether the matrix C = is an orthogonal matrix. 1

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Q: The purchasing power P of a fixed income of $30,000 per year (such as a pension) after t years of 6%…

A:

Q: Let f(x) = 3x –- 6 and g(x) = x² 2x + 11. (a) Find f(g(x)). (b) Find g(f(x)).

A:

Q: The student council bought pizza for $900 to sell at the dance. They kept 10 pizzas to feed the…

A:

Q: A biologist is monitoring the population of a rare species of Jackelope. The initial population size…

A:

Q: = x² + 2x – 8,and Let f(x) = 2x + 8, g(x) h(x) = 3x 6. Perform the indicated operation. (Simplify as…

A:

Q: A rental car company charges $40 plus 35 cents for each mile driven. Part1. Which of the following…

A: topic- linear equation

Q: variables. From table below, find the sum-of-products expression and simplify it by using Algebra…

A:

Q: Let f(x) = 4x – 5 and g(x) = 3x² – 4x + 4. %3D %3D (a) Find f(g(4)). (b) Find g(f(4)).

A:

Q: pages can the machine copy in 20 minutes?

A: Given query is to find the number of books can be copied in 20  minutes.

Q: Which one of the following sequences is an arithmetic progression? O 3,6,12,24,48,. O 1,4,9,16,25. O…

A:

Q: A ball is thrown vertically upward. After t seconds, its height h (in feet) is given by the function…

A: Find the maximum height

Q: Find the recursive formula. 2, -8, 32, -128 O an = a-1:4 1 a1 = 2 An = Cn-1:-4 a1 = -

A:

Q: Find the amount of money (Future Value) in an account where $9,100 is deposited (Present Value) at…

A:

Q: Suppose $10,000 is invested for t years at 6% interest, compounded con-tinuously. Give the future…

A: $10,000 is invested for t years at 6% interest compounded continuously.

Q: A small boat leaves the dock at Camp DuNuthin and heads across the Nessie River at 23 miles per…

A:

Q: Use common logarithms or natural logarithms and a calculator to evaluate to four decimal places 50)…

A:

Q: Quality Control As part of a quality-control program, the chess sets manufactured by Jones Brothers…

A:

Q: The graph of a rational function f is shown below. Assume that all asymptotes and intercepts are…

A: from  given graph(a) Vertical assymptote : x=-1Horizontal assymptote : y=-2(b)x-Intercept =-3y-…

Q: Problem 6 Given the series 5.¢.25x + 125x? + 625 x +. a) For which values of x does the series…

A:

Q: 2x-1 Graph the rational function f(x)= -2x+4 To graph the function, draw the horizontal and vertical…

A:

Q: as 3D 15552 аnd as = 3359232 о 2,8, 32, 128, 512 о-2, -8, -32, -128, -512 о 2, -8, 32, -128, 512 о…

A: Given  a6=15552 and a9=3359232

Q: The graph of a rational functionf is shown below. Assume that all asymptotes and intercepts are…

A: