An object projected upwards with a velocity of 96 feet per second from a height of 6 feet above the ground is modelled by the function h(t) = -16t2 + 96t + 6 A. How many seconds after launch will the object reach its maximum height? Round your answer to one decimal place. B. Find the maximum height that the object reaches. Round your answer to one decimal place. C. Find the x-intercept and explain its meaning on the context of the problem. D. After how many seconds will the object be 100 feet above the ground? E. Find the y-intercept and explain its meaning on the context of the problem.

Q: O x' +3x +4

A: Given  x2+3x+4

Q: Solve 16*+2) = 8*. %3D

A:

Q: Organize the steps for constructing an angle that is congruent to another angle. A Place the compass…

A: This question can be solved using the concept of steps of construction of congruent angles.

Q: For a construction project, Don is making triangular supports out of pieces of wood. Which of the…

A:

Q: Find the missing terms for the arithmetic sequence . -1,. 1, . Blank 1: I Select] Blank 2: I Select]…

A: Given problem:- Find the missing terms for the arithmetic sequence. -1, __,___,__1

Q: 6. Answer the question by comparing the equation, f(x) = 2 cos (2+4)) +3 to the equation, f() =acos…

A:

Q: A combined total of $49,000 is invested in two bonds that pay 4% and 6.5% simple interest. The…

A: Here is the solution.

Q: Represent the following set with a Venn diagram. BU (A-C) Use the graphing tool to graph the…

A: Here we have to represent the given set with a Venn diagram.

Q: Alyssa invested a certain amount of money to purchase tools to start her jewelry business. She also…

A: Simply substitute the value of x in the given equation and simplify.

Q: Solve the quadratic equation by completing the square. -18x+71=0 First, choose the appropriate form…

A: Here we can provide the answer in the following steps.

Q: The objective function is F = 25x - 41y + 36 Find the MINIMUM value of the objective function.

A:

Q: Find the first four terms of the arithmetic sequence whose first term is 9 and whose common…

A:

Q: 30. Find the shortest distance from the point P(0, 1, – 1) to the line (x, y, z) = (1, 1, 0) + t(1,…

A:

Q: Y. Section 5.1 Subtract the polynomials. Assume that all variable exponents represent whole numbers.…

A: topic- subtraction of polynomials like terms are added and subtracted with like terms

Q: Find the limit of each using algebraic techniques. Show all of your steps. x-3 3. lim 1 x -9 4. lim…

A: Topic:- limit calculation

Q: SIDAJOUI 4. (x)=2x-4x2-x Domain: Range: Rel. Maximums): Rel. Minimm(s): End Behavior: As x→∞, ƒ(x)→…

A:

Q: 9) -22, -8, .. ***. А) —15 С) -14 В) —17 D) -18

A:

Q: The graph of the function y=f(x−95) can be obtained from the graph of y=f(x) by one of the following…

A: The parent function is y=f(x) The transformed function is y=f(x-95)

Q: In a cohort of 46 graduating students, there are 5 different prizes to be awarded. If no student can…

A: Here we will find no. of diff. ways prizes can be awarded,

Q: 1. Let r,s > 0 be interest rates. Below is a calendar of May 2022 which describes an interest rate…

A: Interest is applied only on the days that are marked as 'r' or 's'.…

Q: Scott's sailboat uses triangular sails. The angle at the top of the sail is half as big as the…

A: topic- angles and triangles

Q: How many different ways can a race with 9 runners be completed? (Assume there is no tie.)

A: There are 9 runners who can come in first so there are 9 possibilities  For the second place there…

Q: A biology laboratory starts a Petri dish with 1000 bacteria. After 30.0 hours, the population is…

A: Here, the given population model is: A=A02td...(1) A represents the population after a period of…

Q: The exponential model A=186.5e0.02t describes the​ population, A, of a country in​ millions, t years…

A: Here, the given exponential population model is: A=186.5e0.02t where A is in millions and t is the…

Q: 32 64 Given the geometric sequence: 16, 17' 289 Find an explicit formula for an: An = Preview Find…

A: Given geometric sequence 16, 3217, 64289, ...

Q: The equations of three lines are given below. Line 1: -3y=2x+5 3 Line 2: y=---8 Line 3: 4x-6y=-4 For…

A:

Q: Question 2: Multiply the following: a. V3 x V5 b. V5a x V2b а.

A: We can answer both the question as below.

Q: Graph the following quadratic equation on the grid provided. Identify each of the following: the…

A: Solved below

Q: When oil was spilled out in the middle of a lake, it spread out on the surface of the water in a…

A:

Q: Solve the system algebrically or using a matrix, whichever you prefer. If the system has an infinite…

A:

Q: Solve the following equations showing all steps of your work. Check your answer. 15. 3x – 24 = 5x +…

A: Solve the equation for x

Q: Show that if u, v, w, and r are any vectors, then a) u x (v x w) + v × (w × u) +w × (u × v) = 0 b) u…

A: FORMULA (1) aX(bXc) =(a.c)b-(a.b)c (2) dot product is commutative a.b =b.a (a)   u χ ( v χ w) + v χ…

Q: In how many ways can you select 8 dresses out of 11 dresses? Round the answer to the nearest whole…

A: Number of ways to select 8 dresses out of11 dresses is given by C811

Q: The sum of the reciprocals of two consecutive integers is 15/56. Find the two integers

A: Let the two consecutive integers be x,x+1.

Q: U. Section 6.1 Explain how to multiply rational expressions.

A:

Q: Find the limit of each using algebraic techniques. Show all of your steps. x -1 1. lim r+1 x+1 2x…

A:

Q: Basics Give an example of functions f(n) and g(n) such that none of the three relations f(n) g(n),…

A: Solution of the problem as follows

Q: A bike shop on a resort island can rent all of its 100 bicycles each day at $26 per day. However,…

A:

Q: Find the mean absolute deviation of the data set given below. 20, 30, 50, 80, 20 Write the correct…

A: Given set, 20,30,50,80,20 Therefore,  n= 5 (I.e, number of terms)

Q: 2. Refer to the equationf(x) =acos (x +c) ) + dto answer the the question.

A: Let f(x) be a function with some graph.Then ∙ f(x+b) shift  the the graph horizontally left by b…

Q: Consider the following radical equation, 8z +I- 5 = 1 a Solve the above equation algebraically:…

A: see below the answer and explanation

Q: 1. Which statement cannot be justified by one of the properties of real numbers? A. (a + b) + c = a…

A:

Q: 5. Find the eigenvalues and the associated eigenvectors of the matrix 1 C = -1 1 -2 -1 1 -

A:

Q: 38 Evaluate the arithmetic series when (9i +1)

A:

Q: A 11. Convert from radians to degrees. UseT= 3.14, Round your answer to the nearest tenth of a…

A: Explanation of the answer is as follows

Q: Find the value of each of the following quantities: C(9, 6) =

A: Use the formula for C(n,r) to evaluate the value

Q: Find an explicit formula for the geometric sequence -25,-50,-100,-200, .. Note: the first term…

A: d(1) = -25 Common ratio of G.P. = d2d1= -50-20 Common ratio of G.P. = 2

Q: 22. Consider the following set of orthogonal vectors, Vị = (1, –1, 2, –1), v2 = (-2,2, 3, 2), v3 =…

A:

Q: Use the graph shown to find the following. (a) The domain and range of the function (b) The…

A: From The Graph : (a) The Domain and Range of the function : Domain : (-∞,-4) U (-4,∞) Range :…

Q: The equations of three lines are given below. Line 1: 5y = 3x+4 3 Line 2: y= -r+6 Line 3: 10x-6y =-6…

A: