Let A be the event that a student likes chocolate. Let B be the event that a student likes math. H 37% of students like chocolate. H 57% of students like math. 23% of students like both. ■ Use this information to answer questions #6-11. A II. I. III. IV B

Q: 1. Explain the steps in verifying that the following equation is an identity. cos x sec x + tan x =…

A:

Q: cos² x sin x dy + (y cos³ x - 1) dx = 0

A:

Q: Provide an augmented matrix of a system of linear equations having exactly the following solution:…

A:

Q: Hourly rates vary for the consultant-client combination and are based on several factors, including…

A:

Q: Solve the compound inequality. 3x +2>2x-4>X-14

A: a<x<b is equivalent to a<x  and  x<b.

Q: A woman invests $6500 in an account that pays 6% interest per year, compounded continuously. (a)…

A: Invested amount =6500interest rate =6%=0.06comounded continuosly

Q: if n is odd then n+8 is an odd number give a formal proof by direct proof, proof by contrapositive,…

A:

Q: Natalie has homework in seven subjects. She is deciding what order to complete them in. Here are the…

A:

Q: Fit a straight line to the x and y values in the table below using Least Square Regression Method.…

A: I am going to solve the problem by using some simple algebra to get the required result of the given…

Q: 3. If d=rt, where d is distance, r is rate, and t is time, how long, in hours, will it take Derron…

A: 1. Given distance (d)=180 miles Given Average rate r=45 miles per hour. Substitute d=180 and r=45…

Q: 4. Using factoring, solve for the roots of the given polynomial x²-x-36-6 5. Using extracting the…

A:

Q: 1. Consider a point in Cartesian coordinates given by (-2,2√/3, 4). (a) Find a corresponding…

A:

Q: 5 B) C) D) Write an expression to represent the perimeter of the triangle: p-3 1 p-9 P+2 3p+17…

A: The given triangle is

Q: Find a 2 x 2 matrix A for which E4 = span {[3]}, where Ex denotes the eigenspace associated with the…

A: We will find the matrix A using the given information.

Q: Which 2x2 among the matrices/matrix below satisfy(ies) X^2 -5X + 21 = 0 where I and O are the 2x2…

A: We have to find the matrix that satisfies the given equation.

Q: Use the given graph of the function to find the function information. (A) Intercepts (B) Vertex (C)…

A:

Q: Prove that the number of solutions to the congruence xk ≡ 1 mod p is gcd(k, p − 1)

A:

Q: A company is planning to manufacture snowboards. The fixed costs are $100 per day and total costs…

A:

Q: Find the equation for any horizontal asymptotes for the function below. f(x) = 4-7x+x² 5+3x+6x² Find…

A: To Find: Horizontal Asmptote of the function   NOTE:  According to our answering guidelines we can…

Q: . During a magic trick, a magician shows the audience 3 closed bags. Each bag contains an equal…

A:

Q: 1 1 2 A = 0 1 2 3 12 1 2 3 B 4 3 6 5 5 10

A:

Q: Question 3: Factor the following expression 9x³y² - 25x³

A: We will factor the given expression in the following step.

Q: Additional Activities (-2.39) (14) 32 14 8 8/8 20 10 2889 10 (2.71 3 B. Locate and classify the…

A: Explanation of the answer is as follows

Q: Differentiate the following using Chain Rule. 1. f(x) = (2x - 1)4 2. f(x) = (x³ + 1)5 3. f(x) = 5…

A:

Q: there are six boys to every five girls in an introductory Chinese course if there are 407 students…

A: there are six boys to every five girls in an introductory Chinese course if there are 407 students…

Q: Watch the video and then solve the problem given below. Click here to watch the video. Complete a…

A: We can complete the truth table in the following steps.

Q: >) Given the matrices: (i) Compute det (45): (ii) Compute det (C100) - det (C99): 0 -3 3 3 0 -3 3 3…

A:

Q: 7. Write the equation of the ellipse with a minor axis length of 8 units and foci at (-7, 4) and…

A:

Q: Multiply the given Matrices

A:

Q: k b) The diagram shows the graph of f(x)=- x-B -15 -10 (i) determine the values of B, and C (ii)…

A: Given problem:-

Q: 1. Symbolize each problem as an equation (or a system) but do not solve it. (d). A car leaves San…

A: The given problem is solved below in detail.

Q: 6. Five pirates have obtained 100 gold coins and have to divide up the loot. The pirates are all…

A: answer is in next step

Q: Which number is between √50 and 5π/2? A. 22/3 B.2√8 C. 6 D. π + 3

A:

Q: how much bacteria is present after 18 minutes?

A:

Q: A group of 6 students was asked, "How many hours did you watch television last week?" Here are their…

A:

Q: supply

A: Please refer to the image below

Q: Solve the following problems. A. Given the graph determine the following 1. Absolute maximum value…

A: Topic:- calculus

Q: -2 12 3 X 3. If A. -24 B. -18 C. -16 D. 18 then x=?

A: Given that the four MCQ question  To find the value the question and choose the correct option

Q: The number of milligrams D (h) of a certain drug that is in a patient's bloodstream h hours after…

A:

Q: A chef is going to use a mixture of two brands of Italian dressing. The first brand contains 8%…

A: Given:        Let x be the quantity of first brand.        Let y be the quantity of second brand.…

Q: Calculate the time for the colony to reach 1 million bacteria

A: This question is related to Functions, we will solve it using given information.

Q: A printer can print 12 pages in 9 seconds. What is the closest estimate of the number of pages it…

A:

Q: I was told it was wrong and the answer is 77  I dont understand what im doing wrong

A: given binary operation is a*b=a+4b

Q: 1. find the equation of a line passing through (3, 4) and Enter your answer in the slop - Intercept…

A: As per guidelines we can answer only answer at a time so the if you need more answers kindly repost…

Q: True or False 1. Every ring is a group. 2. Every subset of a ring is also a ring. 3. Any ring must…

A:

Q: One number is 11 less than another. If their sum is increased by eight, the result is 71. Find the…

A: Given:      Let one number =x   Second number is 11 less than another =x-11    Sum is increased by…

Q: Sara is a 57-year-old graphic designer who wants to retire 5 years from now. She earns $54,000/year…

A:

Q: Let A (11, 22, 33) and B- (11, 22, 33, 44). If the relation R₁ ((11,11).(22,22),(33,33)) and R₂-…

A:

Q: Consider the following system of linear equations 21 -21 (a) (i) What is the coefficient matrix A of…

A:

Q: Your answer (xy)s Your answer Your answer (-6x³y)(3xy²)

A: x43We  know that ,amn=am×nThereforex43=x4×3x43=x12