A classic physics problem states that if a projectile is shot vertically up into the air with an initial velocity of 160 feet per second from an initial height of 74 feet off the ground, then the height of the projectile, h, in feet, t seconds after it's shot is given by the equation: h = - 16t + 160t + 74 Find the two points in time when the object is 114 feet above the ground. Round your answers to the nearest hundredth of a second (two decimal places).

Q: Linearize f(x) = 5 cos x about x = pi over 2. f(x) = -5x

A: We have to linearize the function. 

Q: Lesson 12.2 Applications of Rational Equations Jackson and Trevor went on a bicycle ride. Jackson's ...

A: Topic = Algebra As per guidelines, At a time only three sub-parts of a question can be answered. Ple...

Q: If X = {u,v} what is the power set of X? %3D (in answering this question, use {} as the null set, an...

A: What is power set of X

Q: KU is tangent to circle O at point Y. Y F is the circle's diameter. Find mZUY F K

A: Given query is to find the measure of angle UYF.

Q: 3. Solve the following system of equations by substitution: y = 3x – 2 4y – 7x = 12 -

A: Solve the following

Q: n the graph of the Logarithmic Function g(x) = log, r: graph of the function f(x) = 1+ log,(x) can b...

A: Topic:- function   

Q: Consider the following relation. 3x2 + 4x = -2x – 2y Step 1 of 3: Rewrite the relation as a function...

A: Consider the following function                                                   3x2+4x=-2x-2y then...

Q: how that if |A| = |B| and |B| = |C| then |A| = |C|. The sets A, B, and C may be infinite, so ou must...

A:

Q: Solve the problem. [6 -5 -4 5 4 -5 Let A = and u = Define a transformation T: R -> R² by T(x) = Ax. ...

A:

Q: wo variobles ond wile 1. 2x-y-5 2. Sy 3-7 3. 4m+ 3n 10 4. m-42 7-m 5. 3-p<24

A:

Q: It is computed that when a basketball player shoots a free throw, the odds in favor of his making it...

A: It is given that player get sucess in his throw 4 out of 24.    that means probablity of success is ...

Q: If $27000 is invested at an interest rate of 5 percent per year, find the value of the investment at...

A: We have to find the inbestment value

Q: solve the following equations with: a-inverse methode. b-cramer method. 0.3x1 + 0.52x2 + x3 = -0.01 ...

A:

Q: True Value rentals charge $17 to rent a moving truck for 3 hours with an additional charge of $4 for...

A:

Q: Calculate the consumers' surplus at the indicated unit price p for the demand equation q = 90- e0 19...

A: Topic:- application of integration

Q: 3. or 90 Find the indicated information for the inequality. 10. 4 +->2 2x +1 3 54. Identify any excl...

A:

Q: Show the following: a) i xj = k b) j x k = i c) k x i = j d) j x i = -k e) k x j = -i f) i x k = -j

A:

Q: Solve the problem. Let v1 =|-3 |, V2 = 8, V3 = -2 -8 Determine if the set {V1, V2, V3} is linearly i...

A: Let, a,b and c are constants such that: av1+bv2+cv3=000⇒a1-31+b-38-5+c2-2-8=000⇒a-3b+2c-3a+8b-2ca-5b...

Q: For numbers 11-12, please refer to AABC with D as the Midline Segment 11. If the length of AD = 14 c...

A:

Q: Find (f o g)(x) and (g o f)(x) and the domain of each. f(x) = x² - 3, g(x) = 2x-2 (fo g)(x) = (Simpl...

A: given fx=x2-3 and  gx=2x-2

Q: Determine whether the set S is linearly independent or linearly dependent. S = {(−2, 1, 4), (1, 8, ...

A:

Q: Calculate your total account balance (using compound interest) for the following: P= $2000 r= 8% com...

A: Given P=2000 r=8% or r=0.08n=12 for compunded monthlyand time t=3 years

Q: Q3) Find the vector that parallel to the intersection line of two planes 2x + y-3z 2 and -x+ 2y-z 1.

A:

Q: so, CfOr) = ?

A:

Q: 2. the live in IR and haring Passing through He oryin as it's divechor vecter intersects the line so...

A: The line in IR3 passing through the origin and having 1u3 as it's direction vector intersects the li...

Q: 3) Among a group of seven (not necessarily consecutive) integers, how many must be divided by 5 to g...

A: This is a problem related to divination rule of the mathematics. Based on the general concept we wil...

Q: Solve the problem. Ellen wishes to mix candy worth $1.55 per pound with candy worth $7.14 per pound ...

A:

Q: (b) Describe how did you convert US dollar to peso. (c) Write an equation that converts dollar into ...

A:

Q: Find the complement of the set given that U = {x | x E I and -3 < x < 7}. (Enter your answers as a c...

A: Let U be the universal set. Then complement of a set A is given by, Ac= {x | x does not belong to A}...

Q: Solve for b. 5 2 Part: 0/3 Part 1 of 3 Multiply both sides by 2.5 to clear fractions.

A:

Q: Ex (5) The ratio of two numbers is 5: 7. If 40'is added in each number, then the ratio becomes 25:31...

A: Since the ratio of the numbers is 5:7.So, let the numbers be 5x and 7x.

Q: A F Which of the following can best be described as a diameter in the circle? C. O FD O FC O EC AB

A:

Q: Considering only the 4-point planes that are drawn in the figure below, which point does NOT share a...

A:

Q: За? — 12 - Graph x2 – clearly showing all asymptotes. 3. x – 12 4 1 -7 -6 -5 -4 -3 -2 -1 1 -1 -2 -3 ...

A: Let's find. 

Q: This graph represents the function f (x) = x² – 2x + 2. %3D -

A:

Q: These 3 X-y+Z=S intersed at 2x-y+3z=| planes + only I point. WHATISALUAYS TRuE! a) b) K=S c)K=-1 d) ...

A:

Q: An enterprise is planning a new radio, TV, and newspaper advertising campaign. A radio commercial co...

A:

Q: Do you thinkthat there are infinitely many primes of the n -1

A:  there are infinitely many primes of the n -1 Explain the above statement

Q: A company's profit is described by the formula P(x) = -5x2 + 600x + 15, 000, where x is the price in...

A: Given query is to find the price for maximum profit.

Q: if 3.^wa Proj, wiHen Proije, (-2w) = lal 3w

A:

Q: Jack goes to the well to get some water. He has a 3-liter pail and a 5-liter pail, and he wishes to ...

A: Jack goes to the well to get some water. He has a 3‐liter pail and a 5‐liter pail, and he wishes to ...

Q: Kelly manages an apartment complex with 57 Apartments the monthly rent for an apartment in the compl...

A:

Q: A movie rental company charges $17.50 per month for membership and $0.50 rental fee per movie. 40. L...

A: We have to choose correct option.

Q: Consider the following statement. Every parallelogram is a quadrilateral. (a) Write the converse of ...

A: We can find the converse , inverse and contrapositive as below.

Q: John is solving x² + 4x + 8 = 0 by completing the square. Which step would be part of John's solutio...

A: We can solve as follows 

Q: In this question, it is a useful aid to draw a unit circle to represent the given information, and t...

A: TOPIC -inverse trigonometric functions

Q: Katie solved the equation below by completing the square. - 6x = 8 Which of the following is the mos...

A: topic - completing square method

Q: Find the volume of the paralellepiped with one vertex at P(1,1,1) and determined by the line segment...

A:

Q: 1. and B = 1. -5 3 A. It is possible 1 Given the matrices A = o to add these matrices. B. If additio...

A: Solve the sum of the matrices

Q: A convex polygon contains at least one angle that is greater than 180°. O True O False

A: