A raise of $290,000 is evenly distributed among 296 professors. Estimate the amount each professor receives.

Q: A person standing close to the edge on top of a 40-foot building throws a ball vertically upward.…

A:

Q: A tank contains 100 kg of salt and 2000 L of water. Pure water enters a tank at the rate 10 L/min.…

A: For initial condition, ( at t =0)salt quantity y(0) = 100 kgwater quantity = 2000 L

Q: 1) Sketch the following functions a) y = 3sin 2(x – z)+4 b) Y= -2sec x

A: 1) The graph of f(x)=sin x is as shown:

Q: Q2: A. Determine if p = i-3k and q = 61 - 3j - 4k are parallel, orthogonal or neither.

A:

Q: 23: Fill in the blanks in the following: 1. If a=(3,-2, 6) and b=(4,-1,-6) the axb = *****

A: Topic = Vector As per guidelines , At a time only one question can be answered out of different…

Q: In 1998 there were 1501 daily newspapers in the country by 2003 there were only 1,451 daily…

A:

Q: The angle of the circular sector of the second and third class respectively for the following data…

A: Total angle of a circle is 360°

Q: Which equation has a graph that passes through the origin and has a slope of 0

A: The general equation of line is y=mx+c. Where m is the slope.  Given, m=0.

Q: [3 G = 4 4 -4 2] 3 2 L1 4 2 1. Find (1,3) entry of G-¹. 2. Find (3,2) entry of G-¹.

A: Given is the question of inverse of matrix.

Q: 0 1 0 0 0 1 and X= 2/3 0 1/3 a. Show that XP = X. 3x3 1x3 [11:3/2] x [i] = [ (09 - 160 - 32 1/3 X -…

A:

Q: -2 1 25 3 14 S1 Describe what I did in the first step, S1. (b) Describe what I did in the second…

A:

Q: 23. X Simplify the complex fraction +3 1 1 _+ * 2513 2x นี้ * x+2+3 2x + 3 x+3

A: We have to simplify the expression.

Q: Q2: A. Determine if p = i-3k and q = 61-3j- 4k are parallel, orthogonal or neither. B. Find the…

A:

Q: Find each quotient. Write answers in rectangular form. In Exercises 89-94, first convert the…

A: Here in this question, we need to find out the quotient in rectangular form.

Q: 1414  ​(A) How much should you deposit now to have that amount 5 years from​ now? b)  ​(A) How…

A: A =17000 r = 5% but here semi annually given so  r = 2.5%  How much should you deposit now to have…

Q: Which property of real numbers allows the equation 3x + 4y + z(0) - 14 to be restated as 3x + 4y =…

A: Topic:- algebra

Q: For services rendered, an attorney accepts a 90-day note for $4,000 at 9% simple interest from a…

A:

Q: The temperature readings for 20 days at 9 AM at a local ski resort were recorded as follows: 29° 4°…

A: the temperature readings for 20 days at 9AM at local ski resort were recorded as follows.,29°, 4°,…

Q: Find the determinant of the given below. Use any method. x-y y-z Z-X y-z Z-X x-y Z-X x-y y-z

A:

Q: Find the interest on the following loan. $1800 at 7.5% for 3 months The interest is $ (Round to the…

A: Given that           initial principal rate             P = 1800 $…

Q: Find a completely simplified expression for the perimeter (2.lenght + 2 width) of the blue…

A:

Q: Choose the system of equations that matches the following graph: O 5x + 2y = -14 7x+y=7 5x+2y=-14…

A:

Q: -4 -8 Let y = 9 and u = -2 -8 7 Compute the distance d from y to the line through u and the origin.…

A: I have appended the formula used in the solution part of the question

Q: You roll a fair number cube. What is the probability that the fair cubes shows an even number or a…

A:

Q: Determine the vector and cartesian equation of the plane that passes through the points ?(−3, −2,0),…

A:

Q: Which expression is meaningless? a. axbxc d. (a - b).c b. (axb).c e. a. (bx c) C. (a × b).c

A: Solve the following

Q: An investment company pays 4% compounded semiannually. You want to have $12,000 in the future. (A)…

A:

Q: 2 4a² +8a - 140

A: Topic = Algebra

Q: 4. (a) (i) Calculate (4 + 6i)². (ii) Hence, and without using a calculator, determine all solutions…

A: We need to find solution of quadratic.

Q: 5. Is the function given by g(x) = 4x³. 6x continuous on R?

A:

Q: F = ٢٥٥ -1000 TOO لیا 0 5 32

A:

Q: 13. Which of the following exponential equations represents the table of values below? X Y 0 -2 1 2…

A:

Q: A basketball is thrown, and its height above ground is represented by the function f(x) = -3x² + 10x…

A: Given the graph is

Q: The figure below is a square. Find the length of side x to the nearest tenth. 4 ४

A: This is a problem of pythagoras theorem. Please follow the procedure given below.

Q: The sequence a,,= (3)-1 is graphed below: 10 9 (4.9) 8 7 6 5 4 3 2 (2.1) 6 7 8 9 10 Find the average…

A: Given query is to find average rate of change.

Q: 5. Write an expression that represents the perimeter of the figure shown below. Simplify completely.…

A:

Q: Jackie has a choice of 3 pairs of shoes, 3 pants, and 4 shirts that can make an outfit for today.…

A:

Q: 5. Sarah is flying a kite on a string at a height of 10 m above the ground. The angle of depression…

A: Given

Q: 2. Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} Y = {y|y= 2x, x € Z} Enumerate: a.) X - Z b.) Xu (YnZ) X…

A:

Q: 2. Which is (are) the initial condition(s) for the Fibonacci sequence? Fo=1, F₁ = 1 Fo=1 F₁ = 0…

A: We can solve this as follows:

Q: The solution is: x1 = x2 -9 A=[53], ²= [2] 2 and b = —

A:

Q: Find a formula for the exponential function f(x) = Ca² passing through the points (2,75) 3 (-1, ³).…

A:

Q: Question 14 Matías rolls two fair number cubes. What is the probability that he rolls a sum that is…

A:

Q: Determine the solution to the system of equations graphed below and explain your reasoning in…

A: Please refer to the image below

Q: Find the z- and y-intercepts of the equation. Enter your answers as points (a, b). x-intercept:…

A: Topic = Geometry

Q: Q2) If n is a prime number, then prove that Z/(n) is integral domain.

A:

Q: Draw the graph of the equation g(x) = -3x + 2. You can refer to the section "Drawing Graphs in…

A:

Q: 1. If a (3,-2, 6) and b=(4,-1,-6) the axb ....

A: Given a=<3,-2,6> b=<4,-1,-6>

Q: - Is the function given by f(x): X the interval (-7, 7)? Why or why not? +3 continuous over

A: Topic:- function

Q: (A) [-(-)] -nt Suppose that you decide to buy a car for $26,635, including taxes and license fees.…

A: Total cost of the car is $26,635 $5000 has been saved for the down payment So, here the rest amount…