3 points Q(4,0,-1), R(1,3,4) and S(-5,-3,-3) form the vertices of a triangle. Calculate the three angles of this triangle and determine if it is a right triangle

Q: Suppose customers in a hardware store are willing to buy N(p) boxes of nails at p dollars per box,…

A:

Q: -1 -17 Let k be a real number and A = |k -2 %3D 7 1 Then A is a singular matrix if O k=5 O k=15/2 O…

A: As we know that; The matrix is said to be a singular matrix if the determinant of the matrix is zero…

Q: For numbers 18-20 18. Given the function f(x) = cos(5x), 0<x< 2n

A:

Q: 5. How many integers divisible by 5 are there between 8 and 118?

A: We need to make geometric series for numbers between 8 and 118. a = first term  d = common…

Q: B. Solve for the indicated term of each expansion. 1. The 7" term of (xi -- 10

A:

Q: 16 2. The third term of an arithmetic sequence is x and a, = 19x + 6. Find the twelfth term.

A:

Q: 4) 14 4 3

A:

Q: - 19. y = cos TX, y= 4x² – 1

A: We have to sketch the region and find the area under the curve.   According to our guidelines we can…

Q: 1. What is the remainder if the polynomial 3x* + 2x3 – 4x2 + x+4 is divided by (x-2)? С. 300 D. 143…

A:

Q: Зх —1 A B (b) (i) Express (1– x)(2 - 3x) in the form - x 2-3x , where A and B are integers. Зх— 1…

A:

Q: B. Determine the number of subsets of the following sets: 1. C 2. E 3. D

A: Given sets: C= { 3,6,9,12 }E= { 3,9 }D= { 1,2,3 } Definition of Subsets: If a set has x elements,…

Q: Question 1 (a) Divide x5- a + 3x3+ 2x2 - x +1 by x- x2 + 1, finding the quotient q(x and remainder…

A: Topic = Algebra In this only part a) is asked , So I answered only part a.

Q: Set Notations A. Write in Roster Form: 1. The set of whole numbers (W) from 25 to 25 2. The set of…

A: 1. Whole numbers are 0, 1, 2, 3, ... There are no whole numbers from 25 to 25. Because 25 itself is…

Q: (1 2 3 A = (0 4 0 0.5.

A: Topic:- matrix algebra

Q: 19. What is the standard deviation, o, in the heights of tenth grade girls shown in the table below?…

A:

Q: local store, 2 bags of chips and 4 containers of dip cost $14. However, 5 bags of chips and 3…

A: We have to find out the cost of one bag of chips and one container dip

Q: Watch the video and then solve the problem given below. 800- Click here to watch the video. C(x) =…

A: Given query is to find rate of change.

Q: Which of the following statements is false? O A. Elementary row operations do not change the column…

A: Row operations  do not change  the row space.  Column  operations do  not change  the column…

Q: Let A be a 3 x 3 matrix with determinant equal to 2. 4 -8 If the adjoint of A is equal to 12 -4 8…

A: Given det(A)=2andadj(A)=4-8012-4880-4We know that…

Q: 2. What is the angle of depression of the boat 150 meters from the base of a lighthouse that is 80…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: _2. Which equation would give the value of x? A. x = 10 cos 20° B. x = 10 sec 20° 10 C. x =: 10…

A: 2) We know that cosθ=base hypotenuseTherefore herecos20°=x10Multiply 10 to both side,⇒x=10cos20°…

Q: 2000+6000t The number of individuals of a species after t>0 days is given by N(t) 5+t Q(t) R(t)' b)…

A: The number of individuals of a species after t&gt;0 days is given by              Nt=2000+6000t5+t

Q: 3 -1 [2 -3 -47' The matrix product 2 4 1 0 1

A:

Q: 7. Raymond got an 85, 88, and 93 on his first three tests. What must he get on his fourth test so…

A:

Q: 2 -3 1 2 and B: -2 0 the matrix 3(A +2B) is equal 2 For matrices A =| 0 1 7 -2

A: The given matrices are;  A= 2 -3      0 2       7 -2 B=1 -2 0      5 1 2.

Q: On February 15, 2020 (day 0) there were 15 cases of the Coronavirus in the US. By March 25, 2020…

A: Model : where C is the initial value at t = o  C = 15

Q: Write 5× 10* in standard notation.

A:

Q: Let W = :a +5c = 0} be a subspace of M22. %3D Then dimension of W is equal to: None of the mentioned…

A:

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. cot(x) = x in Quadrant I

A:

Q: 4. A car costs Php 800,000. Find its value after 4 years if it depreciates 20% of its cost per year.

A: To find out the cost of car after 4 years.

Q: [2 -1 Let k be a real mumber and A =k 1. 7. Then A is a singular matrix if O k=10 O k=5 O None of…

A:

Q: 7. How much interest do you earn by investing $375,500 for six months into an account paying 4.0%…

A: Given, P= $375500 t= 6 months= 0.5 years r= 4%= 0.04 Compounded monthly  Therefore,  n= 12

Q: An investment of $3000 increases at a rate of 3% per year What is the value of the investment after…

A: Topic = Algebra The value of the investment after 30 years is $5700.

Q: Blake answered 2/3 of the questions on his quiz correctly. If he answered 22 questions correctly,…

A: We are given that Blake answered 2/3 of the questions on his quiz correctly.  Let us assume that x…

Q: D. Solve as indicated. 1. Insert 4 arithmetic means between 24 and 56. 2. Insert 5 arithmetic means…

A: Answer (1) We have to insert 4 arithmetic means between 24 and 56

Q: -x 7x+14 What value of x satisfies the matrix equation 3x-2 5 x+8 5

A: The matrix equation,          0-x3x-25=07x+14x+85T

Q: (a) Find the binomial expansion of (1 – x)-1 up to and including the term in x?.

A:

Q: 3. Php 120,000 is deposited in a savings bank that earns 9% simple interest per year. What will be…

A: Given,            P= 120000, r= 9% = 0.09, t =5

Q: Each blank has one answer. The answers are either A b=0  b B does NOT equal zero It's one of two…

A:

Q: Suppose you use exactly 222 feet of wire fencing to enclose a rectangular grazing area for your…

A:

Q: Next question (a) Find the five-number summary, and ) draw a box and whaker plot of he data work…

A:

Q: Let m be a real number and M = {( -2/ If M is a linearly dependent set of M22 then O m=1 O None of…

A:

Q: Let W = {( ):a :a + 2c = 0 and b-d = 0} be a subspace of M22. %3D %3D Then dimension of W is equal…

A:

Q: What is the exponentially rate of 0.85% every what ?

A: This question can be solved using the exponential growth of a function at a annual rate of r%…

Q: 3 8 8 -1

A:

Q: Let W = 3{():a,beR with the standard operations in Ma3. Which of the following statements is true? O…

A: Given

Q: A B

A:

Q: 7(3x+5)=l| -(x tG)

A: 7(3x+5)=11-(x+9) 21x+35=11-x-9 21x+35=2-x Subtract 35+x n both side 21x+x=2-35 22x=-33 Divide 22 on…

Q: 5. A number is divided into two parts, such that one part is 10 more than the other. If the two…

A:

Q: _1. Which of the following would give the length of hypotenuse PR in the diagram below? A. 8 cos 24º…

A: Given Data: