3. In a theatre, two attached spotlights make an angle of 100°. One shines on Ben, who is 30.6 feet The other shines on Mariko, who is 41.1 feet away. How far apart are Ben and Mariko? [ * away. 100° 41.1 ft. 30.6 ft. Mariko Ben

Q: b. cos ( I1/2 -x) c. cos(x+ II/2) d. tan(x+ II/2) e. tan( II/2 -x) a. sin ( I1/2 -x) 16. sin x 15.…

A:

Q: A middle school counselor, attempting to correlate school performance with leisure interests, found…

A:

Q: 5. Prove: tan²xsin²x = tan²x – sin²x

A:

Q: 7. y = 8x³-4x² +5x 9. y = (2x+5) (x-4) 8. 10. y = 3√6x +1 f(x) = 2x-1 x+6

A:

Q: 10. Given đ = [3,6, 3] and b = [1,-3,4]: a) Calculate the angle between å and b. b) If = [1,–2, t],…

A:

Q: a) b) c) log3(-9)- since 3 is positive, the exponent for 3* can produce -9. The inverse of the…

A:

Q: The x-intercepts of a parabola are 10 and -6. Determine the midpoint. 8 -2

A: We have to find the roots of the function.

Q: x²-4 x-2x²-x-2 >) lim- 4 c) lim (2) e)

A:

Q: Identify and express the function from the graph given as a sine function -7/4 -ST/4 37/2 -7 -37/4…

A: Given graph is cos function we know that sin/cos graph are symmetrical about x- axis but here it is…

Q: 14. Determine the constraints a and b such that f(x) is continuous for all values of x. ax - b x ≤ 1…

A:

Q: How many different solutions does the following equation have? 2x 1 3x 4 - - 2x + 7 3x + 2

A:

Q: FINITION MATCHING - Match the definition (A, B, C...) in the right column with the correct term the…

A: Solution

Q: = -0.002x² +5.4x + 2800. The revenue function is 16. The cost function for producing x units of a…

A:

Q: 1. Describe four different examples for the following rate of changes. Draw the graph (including…

A:

Q: Pls help and show all work and explain everything thoroughly pls. Pls do all questions. Pls pls

A: The required diagram is From the diagram, Therefore,  the hiker must  hike to return back to her…

Q: A middle school counselor, attempting to correlate school performance with leisure interests, found…

A: Given Data: Let us consider the given venn diagram,

Q: Write the level surface 4 = 2x² + 5y + √√z as the graph of a function f(x, y).

A: Given, an equation:It is required to express the level surface as the graph of a function , meaning…

Q: . Solve the simultaneous differential equations dx dy dt + dt -+5x+3y=e" dy dt 2-+- dt -+x+y = 3…

A:

Q: 7. y=8x³4x² + 5x

A: As per the Bartleby answering guidelines, answering only first question as the other questions are…

Q: d) 2 x +8x + 15 2 x+5x+6

A:

Q: 1. Nyarai deposits $2500 in an account that earns a constant percent interest compounded annually.…

A: From the given information, The data table can be shown below: Year Amount 0 $2,500 1 $2,650…

Q: 16. Using the limit as h goes to 0, find the slope of each of the following: a) ƒ(x) = −6x² + 7x − 3…

A:

Q: True or False: 6. If the limit exists at x = a then the function is continuous at x = a. 7. A…

A: This question can be solved using the concept of limit, continuity and differentiability.

Q: 2. For each table of values, decide whether the data model a linear, quadratic, or exponential…

A: