Several students are going to ride their bikes from the city park to Lake Kegonsa, a distance of 25 miles. They will ride at an average rate of 10 miles per hour. What is the latest time they can leave the park in order to arrive at the lake by 11 A.M.?

Q: V2-5V3

A:    8·42-53=322-53=322-532-532-53=322-532-53

Q: Find the equation of the line satisfying the given conditions. Equations should be written in slope-...

A: Given equation of a line is 47+3y=3x and point is (8,-4) Find an equation of a line that is perpendi...

Q: 16a? - 25b2 factors to O (4a- 56)(4a – 5b) O (4a +5)(4a – 5b) O (da +5b)(4a +Sb) O ( 4a +56)(4a -5b)

A:

Q: Find a non-zero vector x perpendicular to the vectors 3 13 and u =| 4 -4 3

A: Let's find. 

Q: Apartment rent $1,000 Car expenses $350 Food $500 $400 Clothes $150 Other $100 Which statement is su...

A: The solution is given below

Q: 1. Compute the following sums and differences. Also, provide a sketch illustrating the geometric int...

A:

Q: Find the degree of the polynomial: 3a b5 + 5a?b - 2a°b. О 22 О10

A:

Q: 12. Determine the equation of the directrix for the parabola 20x=y2–10y+30 а. X-20 b. y=-20 с. X3-20...

A: Question : Determine the equation of the directrix for the parabola 20x = y^2 - 10y +30.

Q: Divide. 89 (12," - 16x°y° + 10x'y) (2xy) 10 11 The quotient is | (Simplify your answer.)

A:

Q: Let A = {r|z € N and x < 12}. Write set A in roster (list) form. A = {0, 1,2, 3, 4, 5, 6, 7,8, 9, 10...

A: This is a basic sets and relation problem

Q: Find the distance CD rounded to the nearest tenth. C = (10,-1) and D = (-6,3) CD = [ ? ] %3D

A: Given C(10,-1) and D(-6,3) We have to find distance CD.

Q: 2. Write a recursive definition for the sequence 14, 10, 6, 2,... Oaj = 14, an = an-1+4 %3D Oa = 2, ...

A: To write a recursive defintion for the sequence 14, 10, 6, 2, ...  

Q: A new car depreciates in value each year by 2.3%.  If the initial value was $18,000.  What equation ...

A:

Q: Find the values of the following: E= IR when 1= 5 and R= 3 A = n rl when T = 3.14, r = 5, 1 = 20 S- ...

A:

Q: Determine algebraically whether the given function is even, odd, or neither. 3 f(x) = V4x %3D O Even...

A: Given query is to find function is even or odd.

Q: 4x - y - 3x = 40 5x + 2y + z = 25  6x + y + 2z =18  Use the Substitution method or elimination me...

A: We have to use elimination method to  to solve the system of equation. 

Q: Write the following expression as a single logarithm. Simplify as much as possible. log3 (a2) – log3...

A:

Q: Solve the system of equations using the row echelon method. -35x- 2y+ z = - 60 20x + 3D36 y. -40x- 2...

A:

Q: 2x y= 5х-3 -------.-.--......--..--.....

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

Q: -3-3V3

A:

Q: Question 5: Do the following belong on a list of possible rational zeros for the following polynomia...

A:

Q: In a complete sentence, describe the relevant angle relationships in the following diagram. Find the...

A: An equation can be formed by summing all the given angles to 180 degrees.

Q: Find, if possible, AB and BA. (If not possible, enter IMPOSSIBLE in any single cell.) 1 2 2 3 5 2 -4...

A:

Q: Find a non-zero vector i perpendicular to the vectors 3 -13 and i = 4

A: Given problem:-

Q: Factor the sum or difference of two cubes. Show your work and explain the steps you used to solve. 3...

A:

Q: Mike has the following cans of vegetables. • 7 cans of corn 6 cans of green beans 2 cans of beets 5 ...

A: Total number of cans of vegetables=20 Number of cans of spinach= 5

Q: If f is one-to-one and f(13) = 9, then f-'(9) and (f(13))

A:

Q: 00 Again, consider the series n (from questions 3-4). Calculate lim a,. Based on your calculation, w...

A:

Q: Find the real solutions of the following equation. 2x+7-x+15 = 1

A:

Q: Find the value of k for which the vectors 4 and 4 k are orthogonal. k =

A:

Q: Which of the following relations are transitive? The relations are in bold. (Remember: A relation R ...

A:

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

A:

Q: What is the value of the expression 8 (-10.25) A 871 в 851 C 871 D 851

A: Given query is to find the value of the expression.

Q: 18. Does the infinite geometric series diverge or converge? Explain. 3+9+27+81+ .. OIt diverges; it ...

A: We need to check if the series converges or diverges.

Q: Is a greater than, less than, or equal to 73°? 73°

A:

Q: Find 21 term of A.P 4,6,8,

A: given  4,6,8, common difference d = 6-4=2 first term a = 4      

Q: Find the adjoint of the matrix A. Then use the adjoint to find the inverse of A (if possible). (If n...

A:

Q: Add or subtract the following polynomials. (6x2 - 2x + 5) – (-3x2 - 4x + 6) O 6x2 + 3x - 1 O 10x2 + ...

A: We are given the polynomials    (6x^2 - 2x + 5) - ( - 3x^2 - 4x + 6)     Now we slove these polynomi...

Q: Let u= and v Compute the area of the parallelogram determined by u, v, u-v, and 0, and compute the d...

A:

Q: A -3 -2 -1 B -1 -2 The distance AB = [ ? ] Round to the nearest tenth. Hint: d = /(x2 – x1)² + (y2 –...

A: Given query is to find the distance between A and B.

Q: Use a determinant to decide whether the matrix is singular or nonsingular. 1 3 4 2 2 4 3 3 1 1. sing...

A:

Q: The following augmented matrix is in row echelon form and represents a linear system. Use back- 1 1-...

A:

Q: Factor out the greatest common factor and then factor the trinomial: 2xy +8xy-24x Use the paperclip ...

A:

Q: 1 Let f(x) and g(x) 8. 2 + 5. Find the domain of the composition f(g(x). The domain of f(g(x)) is al...

A:

Q: Find the area of the parallelogram whose vertices are listed. (-1,- 3), (1,5), (8, – 5), (10,3) The ...

A:

Q: Your starting salary at a new companv is $34,000 and it increases bv 2.5% each vear. What will vour ...

A:

Q: 16. For the shown equations below, let f(x) = 2x + 1, g(x) = x², and h(x) = Vx. Assume that all grap...

A:

Q: Let 2 f(x) = (x – 9)² Find a domain on which f is one-to-one and non-decreasing. Find the inverse of...

A: Here, It is given that f(x)=x-92.

Q: Find the equation of a line that passes through the points (10, -5) and (-2, 2). It needs the equati...

A: Topic:- equation of straight line

Q: Solve the compound inequality. Write the solution set in interval notation. Reme completeness count....

A: