Applications of Trigonometry (Monday, Apr. 4, 2022) 2.) At what angle will this archer have to aim her bow in order to hit the hawk that is flying 57ft away, 29ft in the air? 57ft. 29ft!

Q: The fox population in a certain region has an annual growth rate of 4 percent per year. It is…

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Q: 7. Find the slope of the line through the points (6a, 5b) and (a, 2b).

A: As per our guideline if multiple questions are posted we are supposed to answer only the first one…

Q: QUESTION 4 How much should you save in an account now so that you will have $90,000 in 6 years, if…

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Q: 23. Challenge Problem: Calculate the diameter size for the five holes to drill in the 1.5-cm thick…

A: topic - mensuration

Q: Find any points of discontinuity for the rational function. Show what it will be on a graph. Then,…

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Q: 1. z3 = 8i 2. z4 = 2 – 3i 3. z2 = sin(1 + i)

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Q: F(x)=4x^4-3x^3+8x-9 Divided by x-1 What is the remainder? Is x-1 a factor of the equation?

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Q: Find f(g(x)) and g(f(x)). Then determine whether g and f are inverse functions. f(x) = 10x – 2 g(x)…

A: Given,            fx=10x-2            gx=0.1x-0.2To find : Find fgx and gfx. Then determine whether…

Q: A person standing close to the edge on top of a 40- foot building throws a ball vertically upward.…

A: Height of the ball can be expressed using the quadratic function,              h(t)=-16t2+72t+40 It…

Q: At the bake sale, Albert sold 4 cupcakes for $3 each and 12 brownies for $2 each. What was the total…

A: word problems are given, we have to find its solution using mathematical expressions.   Note:…

Q: Lian’s age is four less than Cita’s age. The sum of twice Cita’s age and thrice Lian’s age is at…

A: To find out the Lian's age.

Q: The predicted flight path of a toy rocket is defined by the equation h = -2(d – 1) (d - 11), where d…

A: This question can be solved using the concept of graphing of quadratic function.

Q: Find h(x) and g(x) such that f(x) = (h o g)(x). f(x) = /8x +2 Suppose that g(x) = 8x + 2. ... h(x)…

A: f(x)=8x+2 g(x)=8x+2 f(x)=(h∘g)(x)=h(g(x))

Q: 4 Solve each equation by completing the square. 26. x2 – 4x + 12 = 0 27. x² + 2x – 12 = 0 28. x² +…

A: Given: x2+6x+8=0

Q: QUESTION 1 If $7,000 is borrowed for 6 years at an annual simple interest rate of 8%, find the…

A: Principal amount $7000 Rate = 8% simple interest  Time = 6 years

Q: 14. x2 + 4x + 4= 10

A: 14). Given: x2+4x+4=10   As we know from the square root property; If x2=t, t>0 then x=+t  or -t.

Q: Form a polynomial Zeros: -1,0,6 Degree: 3

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Q: Write an expression in simplified form to represent the area of the trapezoid. 15x3y 4x5

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Q: A cellphone charger that costs Php 250 was sold at Php 325. What was the markup rate? Solution and…

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Q: 3. Complete the table for each parabola Equation Y= -0.4(x-2)2 Y = 3(x + 5) 2 + 3 Direction of…

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Q: 6. Answer the questions for the following quadratic equation y = 2(x+3)^2- 5

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Q: David runs a printing and typing service business. The rate for services is K32 per hour plus a…

A: Total cost = one-time charge + charge per hour

Q: 2 4 Let L be the line given by the span of in Rº. Find a basis for the orthogonal complement L of L.…

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Q: P1 = 3 In(t)+8 where t is The population of two different species are given by P1 and P2. P2 = 5…

A: To find: The number of days when P1>P2. Given information: The population of two different…

Q: B. Shade the appropriate half-plane to complete the graph of the inequality. 2x+y 22 3x-y<-1

A: Here we have to shade the required region.

Q: The formula S = 16t is used to approximate the distance S, in feet, that an object falls freely from…

A: We will find out the time for free fall from the buildings top.

Q: 7. (1) Write as a single logarithm: log3 a + 3 log3 b – 4 log3 c (2) Sarah expanded the following…

A: 1 (1/2)log3a +3log3b -4log3c here  log3a  + log3b3 - log3c4 log3ab3/c4   2 ln(a/e4b) ln(a1/2/e4b)…

Q: Let f = {(- 2,1),(1, - 1)} and g = {(-2, - 4),(3,0),(5,6)}. Find f+g and its domain.

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Q: 22. x2 + 32x + 256 = 1 81

A: We can solve the given problem as follows:

Q: Suppose a scientist has a fossil sample with 140 g (grams) of carbon-14. If its original amount of…

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Q: 18. The volume of a triangular prism is Z76.88 cubic inches. The distance between the two triangular…

A: Let's find.

Q: Nicole has this right cone, which has a lateral area 414.5 cm². She needs a cone with height at…

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Q: You plan to take a 2000-mile trip in your car, which averages 32 miles per gallon. How many gallons…

A: We can explain the answer in the following steps.

Q: Let f(x) = 3x - 1 and g(x) = x? + 2. Find (fo g)(7). (fo g)(7) =

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Q: Mr. Jones sells scrapbooking materials. He charges $20 per album and sells 120 albums month at this…

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Q: solve the linear quadratic system [e1=x2=2y-6 [e2=y-x=2

A: Given query is to solve the system of equations.

Q: Find the dimensions of a large 37 square foot rectangular window that has a height which is 3ft…

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Q: H.w, considev The SyoLem by and Gass Jorolan limnat 8x-23+3=25 メ+33-2るー12 uメー5y - 3)

A: we have to find the solution of the system by Gauss - Jordan method.

Q: 3) Given that f(x) = 2x+ 5 g(x) = 2x – 6 and h(x) = x- 5 i) f(-4) = iv) h,f(x) i1) h[f(-6)] = v)…

A: Explained below

Q: 2. -7+5m³ + 9m - 3m2 a. Standard form: b. Classify by degree: c. Classify by terms:

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Q: Solve each equation. 7p+2 - 343

A: As we know from the exponent rule; If am=an then m=n   Given: 7p+2=343

Q: A little kid running a lemonade stand sells small and large beverages. Each small beverage sells for…

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Q: determine whether set s={(2,1),(-1,2)} spans R^2

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Q: The daily profit in dollats of a specialty cake shop is described by the function p(x)=-6x^ 2…

A: Solution ) To find the vertex ( h , k ) h = no. of cakes for maximum profit p(x)=-6x2 +252x - 1.920…

Q: Charles buys factory-reconditioned hedge trimmers for $20 each and sells them online for $43 each.…

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Q: 14. x² + 4x + 4 = 10

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Q: 16,000 organisms initially and decreases by 3.9% each year.

A: answer of given question is in step 2

Q: An antique clock is expected to be worth $350.00 after 2 years and $530.00 after 5 years. a) Find…

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Q: Find h(x) and g(x) such that f(x) = (h o g)(x). f(x) = /8x +2 Suppose that g(x) = 8x + 2. h(x) =D

A: We can solve this as follows:

Q: 16 in. 10 in. 11 in. Use the formulas developed in this section to find the area of the figure. 18…

A: Solving the problem by finding the value of the area of the figure i.e. the triangle.