14. Ken can fill a bin with blocks in 20 minutes. Kristen can fill the same bin with blocks in 25 minutes. If Ken and Kristen work together, how fast can they fill the bin? 15. The speed of a stream is 4 mph. A boat travels 11 miles upstream in the same amount of time it takes to travel 19 miles downstream. What is the speed of the boat in still water? Distance Rate Time

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A:

Q: Solve the quadratic equation by factoring. 3x² + 24x + 21 = 0

A: Given.

Q: Solve the system by graphing. Write your solution below. hours at fruit market hours at restaurant

A: total number of hours = 20 x+y=20 x y 0 20 20 0

Q: Write the following equation of the parabola in standard form: y²-6y - 6x3 = 0 m 1

A: Topic:- Geometry

Q: 9. Find the value of 2sinhxcoshx O a. cosh (2x) O b. sinh(x) O c. sinh(2x) O d. sech (2x)

A: Given:        Value of 2sinhxcoshx     we know that                             coshx=ex+e-x2…

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A:

Q: By using the inverse formula, find the inverse of the 2×2 matrix (if it exists). -12 3 a. 5 b. 7 2 1…

A:

Q: Let f= (134568) (2 7 9) and g=(1 8362497) be permutations in Sg, written in cycle notation. What is…

A: To solve the given permutation group problem.

Q: The qualifying time to make it into the 5K race is 20 minutes or under. Which inequality statement…

A: Explanation of the answer is as follows

Q: A. Instruction: Expand each binomial. 2. (1+2x³)5

A: We have to find out expansion

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A:

Q: the equation x^2 - 8x -5 = 0 can be transformed into the equation (x-p)^2-q, where p and q are real…

A: We can solve this as follows:

Q: Solve the given equation for x. (Remember that e - X xe - e- x = 0 #0 for all values of x.)

A:

Q: Write the equation of a sine or cosine function to describe the graph. 'y 1 6 9 5- 34+ 2 1 |6 FIM 3…

A:

Q: A² Show that w'= -9-7x - 15x² can be written as the Linear combination of U= 2 + x +4x²₁ V = 1 =…

A:

Q: recreate the following image but with a slice of pizza

A: We need to recreate the image.

Q: polynomial expression is shown below. ex(4x3 + 8x2 - 12) - (x2 + 4)(x2 + 7) The expression is…

A: Topic = Algebra e =9

Q: A survey of 121 high school students determined whether they used Instagram, Twitter, or Facebook.…

A: Given :Total students : 12173 instagram80 facebook44 instagram and facebook24 all three66 twitter39…

Q: Thanos just opened a savings account with an initial deposit of $20,000. The account pays 5% annual…

A: This question is based on compounding continuosly formula

Q: equati 3 e the rational 35 4) = x + 2 = 4 X

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Solve the given equation for x. 9-5x = 67x-5

A:

Q: x + 2y +32 = -1 - 2 + 5y +7z=5 +3₂ = 5 32 4y 2. X+Y-2=3 Sx - 2y + 2 = 8 x + 3y + 4z = 5 1.

A: To find the solution of the linear equations (1) x+2y+3z=−1   ...(a) −z+5y+7z=5 ⇒5y+6z =5…

Q: What does the Fundamental Theorem of Algebra tell us about a polynomial over real numbers?

A: Use the definition of theorem

Q: What is the maximum value of z given the objective function z = 2x + y? What is the maximum value of…

A: Let's find maximum or minimum value of given function.

Q: 7. List out the event A that is an even number from a sample space of integers from 0 to 30…

A: We have to find out the events

Q: 4. Find the inverse of matrix A = 2 1 3 and use this inverse to solve the matrix equation: 1 2 1…

A: Given problem:-

Q: (a) Define the following terms: (i) Cartesian product of two sets; (ii) relation on a set X. (b)…

A:

Q: 3. How many 3-digit numbers are there that are divisible either by 5, 7 or 9?

A:

Q: You have two coupons at a book store.1.) Save 15% off your next purchase. 2.) Take Php100 off your…

A:

Q: 1. L{t²sinwt}

A: As we know from the property of the Laplace transform. Ltnft=-1ndndsnLft And Lsinat=as2+a2 Given:…

Q: Note: Enter your answer and show all the steps that you use to solve this problem in the space…

A: Hyperbola with centre at 0,0  and the transverse axis is the x-axis is given by  x2a2-y2b2=1  Then,…

Q: 3. In the interval 0<x<4 of the second derivative test, f(x) is Oa. Changes direction O b. Not…

A: (3)second derivative testf''(x)&gt;0 ,   f(x) is concave upf''(x)&lt;0 ,   f(x) is concave down

Q: Let X = {1, 2, 3, 4, 5, 6}. Which of the following is a partition of X? O (12) (34) (56) O {{1, 2},…

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

Q: The following equations describe the relationship between questions on a test that have dif Let x =…

A: It is given that, x = One type of question y = A different type of question. We have,  5x+2y=80…

Q: A) |2x² + 5x + 1 = 1 B) 12/1 x-1 x+1 C) 5x + | ≥ 1

A:

Q: A student wishes to invest $500 in a savings account yielding 3% annual interest compounded every 6…

A: Compound interest formula needs to be applied.

Q: Determine the Wo fourth root of 16+ 16i in exponential form. COMPLETE THE MISSING THE BLANKS FOR THE…

A: To determine the w0 fourth root of 16+16i in exponential form.

Q: What is the criteria for a relation to be a function?

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

Q: Simplify the expression. 25y²-49 25y2-70y+49 Enclose numerators and denominators in parentheses. For…

A: Given problem:-

Q: f is said to be a if it is both one to one and onto. That is, there is a one to one correspondence…

A: f if said to be a------- if it is both one to one and onto.

Q: Ind the first four terms of the sequence given by the following. q=(-1)^2n², n = 1, 2, 3, ...

A: Topic:- sequence and series

Q: Find two consecutive whole numbers that √39 lies between. and 10 x 5 ?

A: Given 39 We have to find two consecutive whole numbers that 39 lies between

Q: Note: Enter your answer and show all the steps that you use to solve this problem in the space…

A:

Q: 1. Lucas is planting grass on the shaded portions of the yard. What will be the total area covered…

A:

Q: Use the functions f and g in C[-1, 1] to find (f, g), ||f||, ||g||, and d(f, g) for the inner…

A:

Q: Let a = (13)(58) and ß = (2368) € Sg. Find aßa-¹.

A: In given problem we product the given permutations from left to right .  To find inverse of any…

Q: Perform the indicated operation and express the result as a simplified complex number. (5 - 6i) (4 +…

A: To evaluate: (5−6i)(4+8i) Multiplication of two complex numbers is the same as the multiplication of…

Q: In which function does t vary jointly with q and r and inversely with s? Answer choices: t = kq/rs t…

A:

Q: 13. Find the cofactor matrix and adjoint of matrix A A = 2 -2 1 3 1 3

A:

Q: Find the prime factorization of 168 and 270, and then compute their LCM and GCD.

A: To compute LCM and GCD.