A small antenna fell from the top of a communications tower that is 900 feet tall. The height in feet of the antenna above the ground at t seconds is given by h(t) = −16t² + 900. How far above the ground is the antenna after it has been falling for 4 seconds?

Q: Solve the compound inequality. Give the solution set in both interval and graph forms. x-2≤6 and…

A: We can solve the compound inequality as below.

Q: QUESTION 6 A scale model of a truck is 1.5 inches high. If the actual truck is 8 feet high, what is…

A:

Q: This matrix Cah be considered a deaf -20 Matrix Art -1 -12

A:

Q: Find the eigenvalues and eigenvectors of the following Matrix 1-2 2-3 A=2₂1-6 -1-20

A: eigen value is a scaler associated with a linear set of equations which when multiplied by a non…

Q: QUESTION 11 Which of the following polygons can tile the plane? I: regular octagon II: nonrectangle…

A: Option (D)

Q: Juan drove to the mountains last weekend. There was heavy traffic on the way there, and the trip…

A:

Q: A 15m high closed cylindrical vessel. having a volume of 400 m³ is fully filled by oil 6.Find the…

A: Formulae used: TSA of Cylinder: 2πr(r+h) Volume of Cylinder : πr2h CSA of Cylinder: 2πrh

Q: solve 3x+2=14

A: The solution is given below:

Q: If it's a standard amount k =-2 what is the value of the element ka 31 After he hits the record in…

A: According to question,Given Matrix,A = 1303111-23

Q: Simplify cot x CSC X 1 cot x csc x + 1 to a single trig function.

A:

Q: Graph the feasible region for the follow system of inequalities by drawing a polygon around the…

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Q: vii. y = x²+6x-27 x²-2x-3

A: The objective of the question is graph the given equation.

Q: Perform the indicated operations and simplify your solution. (3x^2+2x-1)-2(x^2+3x+4) Select one: O…

A: Here we have to perform the given operation

Q: Mikko walks down 6 flights of stairs. Each flight has 7 steps. Which describes Mkko's descent? O A.…

A:

Q: Suppose you invest $78 a month in an annuity that earns a 2.8% APR, compounded monthly. How much…

A:

Q: Q1: Use the gamma function to solve the following: 1- 2²edt

A:

Q: Let f(x) =3x^2+6 and g(x) =4x-8. Find the composition. (f o g) (x)

A: Given.

Q: Find the composition of functions. p(x) = 3x² 110. (poq)(x) 111. (qop)(x) 112. (roq)(x) q(x)=x²-2x+1…

A: Since we are given with the multiple number of question and answered according to the guidelines.…

Q: What is value of x? X+ 34=64

A: Given problem:- What is value of x? x+ 34=64

Q: oor 1. 2. Simplify the following: a) (-1) 101 b) (-0,56)⁰ Calculate the values of the following:…

A:

Q: Given below are lease terms at the local dealership. What is the total cash due at signing? Terms: ●…

A:

Q: 12. Consider the following sets of vectors in R³. Explain how you know that vectors in each set are…

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Q: Two Algebra questions 1) Write the equation for a line with the given characteristics Parallel to…

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Q: Write the quadratic equation whose roots are 3 and -3, and whose leading coefficient is 5. (Use the…

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Q: Graph the parabola. y=2x² +16x+27 Plot five points on the parabola: the vertex, two points to the…

A: Graph the parabola  y= 2x2+16x+27

Q: Simplify the following expression by rewriting it with positive powers: 5u7a-9 20ua⁹ Write your…

A:

Q: solue 2/2y² + 5xy - 2y +4) dx + x (2x +2y-1) dy = 0

A:

Q: In the lab, Mary has two solutions that contain alcohol and is mixing them with each other. She uses…

A: Given problem:- In the lab, Mary has two solutions that contain alcohol and is mixing them with each…

Q: th. Find the length

A: We will find the dimensions of the bulletin board.

Q: Let 21 = 2(cos(267) + sin(267)) and 22 = 18 (cos(60) + i sin (60°)). Compute each of the following…

A:

Q: Solve the system by graphing. x+y=7 -2x+y= -5 Use the graphing tool to graph the system. Click to…

A:

Q: Express the area of the polygon as a polynomial. 41. Rectangle 42. Right triangle 6x - 1 4x² - 1…

A:

Q: When entering your solutions do not use spaces or parentheses. For example, -3x³y² is entered as -…

A: To simplify the following

Q: If f(x) = 3x³ and g(x) = x³ - 2x find and simplify 2 f(x) - 6g(x). Select one: O A. 3x³-12x B. 12x…

A: Given that fx=3x3 and gx=x3-2xTo simplify:2fx-6gxSolution :

Q: Let 21 = 2(cos(267) + sin(267)) and 22 = 18 (cos(60) + i sin (60°)). Compute each of the following…

A:

Q: f(x) = (3x + 2)/5 then f-1(x)

A:

Q: 15. Giovanni bought 30 shares of Stock XYZ at the close price of $6.31. He bought 30 more shares a…

A: This question is related to algebraic operations, we will solve it using given information.

Q: Given h (x)=x² +5, find the equation of the secant line passing through (-4, h (-4)) and (2, h (2)).…

A:

Q: The monthly rent for the first house is $1,190,$1,190, and the Bainters can expect it to increase…

A: We will find the rent value over time.

Q: 2. Use set builder notation to describe the following set i) A={2,4,6,8,10} A=(3,6,9,12,15,18} ii)…

A:

Q: Suppose H (x) = 2x²-5. Find two functions f and g such that (fog)(x) = H (x). Neither function can…

A:

Q: Bill and Felicia each bake cookies for a party. Bill bakes 3 times as many cookies as Felicia.…

A:

Q: 20. Which of the following is a counterexample for the conditional statement "All prime numbers are…

A: See the details solution in below

Q: 1. For what value(s) of r (if any) is the vector (-2, 14, r) a linear combination of the vectors (2,…

A: We need to find r.

Q: Find the composition of functions. p(x) = 3x² 113. (por)(x) 114. (pop)(x) 115. (qq)(x) Choices for…

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Q: Find the derivative of f with respect to x of f(x) = In x'

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Q: Solve the equation by using a u-substitution: x 5 + x5-2=0

A: The given equation is: x25+x15-2=0⇒x152+x15-2=0

Q: X3. Use the age transition matrix L and age distribution vector x₁ to find the age distribution…

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Q: Q4: Answer (3) only : 1-1+1+²+³+{* =? (a: 41+1 b:-1 2_12+3al-4b-271, then a+b-? (a:-9 3- The…

A:

Q: Jenny is now 18 and Carmen is 12. How many years ago was Jenny twice as old as Carmen?

A: