The exam has 14 questions, and the total number of marks for the exam is 100. In how many ways can the professor assign the 100 points if each question must count for at least 3, but not more than 12, points? Make sure you clearly define your set S and all your conditions.

Q: onsider the Venn diagram shown below.   Determine the following cardinalities. n(¯C)=  ? n(A∪B)=

A: Given: - The Venn diagram shown below: To find: - The following cardinalities, (i) n(C)(ii) n(A∪B)

Q: (3 5. Find the co-factor A21 of the matrix 0 -1 -1 \2 6. Find the co-factor matrix of

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Q: Consider the following polynomial inequality. 4x2 > -x + 5 Step 2 of 2: Write the polynomial inequal...

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Q: Use the graphs to evaluate the expressions below. 6+ f(x) 9(x) 4- 4

A: Please refer to the image below

Q: A machinist is required to manufacture a circular metal disk with area 702 cm. Give your answers in ...

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Q: 4 3 Evaluate the expression when x= and y=- 15 10 2y-x Write your answer in simplest form. 믐 마음

A: The above given  expression is answered below

Q: 0. Find the inverse of matrix of C :)

A: Topic:- Matrix  Note:- as per our guideline if more than one question uploaded than only one questio...

Q: For each of the following values of ∆, find all elements of the ideal class group of G=C_(delta) dis...

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Q: What is the proper exponential notation for 0.00001315?

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Q: In how many ways can the algebraic expression be written without exponents?

A: Here is the solution

Q: required

A: Please refer to the image below

Q: Define the following : > Relation > Range > Domain > Functions

A: ?As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost oth...

Q: Use eight intervals, starting with 0-19. Perform the following. a. Group the data as indicated. b. P...

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Q: Classify each number below as a rational number or an irrational number. rational irrational -2/6 79...

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Q: Two cars start at the same time, but travel in opposite directions. One car's average speed is 50 mi...

A: Given that: Two cars are travelling in opposite directions.avg. speed of one car=50 mphThe two cars ...

Q: Find the derivative of all orders of the function. y3D x'-x + 5x-9 y3= %3D

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Q: Write an exponential/logarithmic equation that models the total amount of fees that Amanda will pay ...

A: This is a problem related to the compound interest. Here we will apply thr compound interest formula...

Q: A ball is thrown into the air. Its height, in feet, t seconds later is given by h(t) = 64t – 16t? a)...

A: Topic:- function

Q: How much must be placed each month into a retirement account earning 14% compounded monthly if the v...

A: Given, r= 14% A= $1000000 t= 35 years n=12 (compounding monthly)

Q: Argand plane. Label properly. 2. Represent the following complex numbers on one A = 1+1 B = 1- C = -...

A: Given that: A=1+iB=1-iC=-3+4iD=-3-4i

Q: A piece of machinery can be bought for $l00,000.00 down payment and 12 semi-annual payments of $ 8,0...

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Q: Rewrite the quadratic function in vertex form (which our OpenStax textbook also calls the standard f...

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Q: SUM OF EXPONENTS the sum of the exponent (x² + y³+2+4)⁵ divided by the sum of the exponent (x²+y³)⁶...

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Q: Write the equation for the function graphed below. *5 4 3 -2 a ab b |a| sin (a) f (x) :

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Q: Joe's Tire shop sells three types of tires. High performance tires sell for $40/tire. Ultra performa...

A: Solution: h = number of high-performance tires.u = number of ultra-performance tires.e = number of e...

Q: Find the inverse of the matrix, if it exists. Use the algorithm for finding A ·1 by row reducing [A ...

A: Find inverse of matrix

Q: Find a formula for each of the following lines. Use any form you wish. a) y =

A: We have to find out equation

Q: Two projectiles are shot into the air from the same location. The paths of the projectiles are parab...

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Q: Write the system first as a vector equation and then as a matrix equation. 6x1 + X2 - 3x3 = 6 8x2 + ...

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Q: Use a system of linear equations with two variables and two equations to solve. A pickup truck and L...

A: Suppose, the speed of Lamborghini = x and                the speed to a truck = y Now, from the give...

Q: 4x-7y=28

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Q: If two is subtracted from the square of a number, the result is two. Hind all such numbers. If there...

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Q: Solve the system below using augmented matrix methods. Graph each solution set. Discuss the differen...

A: Given: Equations is given as: 5x1-4x2=104x1-3x2=10

Q: market orders 40 ib of tomatoes, 30 lb of zucchini, and 10 lb of onions from a local farmer one week...

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Q: Rocky Mountain Chocolate Factory (RMCF) founder and president Frank Crail employs 220 people in 361 ...

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Q: Use the Trapezoidal Rule and Simpson's Rule to approximate the value of the definte integral for the...

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Q: c(r + y) = 72y + 67 y =

A: Given: c(r+y)=72y+67

Q: Planter's Peanut Company wants to mix 20 pounds of peanuts worth $3 a pound with cashews worth $5 a ...

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Q: Write the sum using summation notation. There may be multiple representations. Use i as the index c ...

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Q: 3. Answer the following questions. (a) Consider the line L that passes through the point Po(4,2, –3)...

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Q: 2 2. Find (AB)T if A = rA=( ) and B =(, -4 -6 7

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Q: 21al 770 amount using the Banker's Rule. RM9 064.82 RM9 024.82 RM9 054.82 DMO O 04.00

A: In Banker' s rule we  consider 360 days in a year

Q: 54, find the reference angle 0'. Sketch 0 in ndard position and label 0'. 48. 0 = 309° 50. 0 = -215°

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Q: A business has found that it can sell 680 items if it sets its price to $66.9. However, if it lowers...

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Q: The table and scatter plot show the time spent watching TV, x, and the time spent doing homework, y,...

A: Solution: Observed time spent doing homework can be obtained from the table.  

Q: Forever Power Company analysts conducted tests on the life of its batteries and those of a competito...

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Q: Find the distance between each pair of points. Use a separate sheet of paper, if necessary, for your...

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Q: There are 3/4  as many cows as pigs on an animal farm. If there are 35 pigs and cows on the farm, ho...

A: We can find the answer as below.

Q: The difference between two numbers is 65. Five times the smaller number plus three times the larger ...

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Q: Use the variable x to wte the phrase in symbols. One-fourth a number added to that number

A: Given, x-variable. One-fourth a number added to that number