Determine the cosine of the angles of the triangle whose vertices are A(1,−2,1), B(3,0,2) C(0,1,−3) b) Determine whether the angle at the vertex A is obtuse or acute. Justify your answer.

Q: Camila invested $9,100 in an account paying an interest rate of 4.6% compounded continuously. Assumi...

A: Given problem:- Camila invested $9,100 in an account paying an interest rate of 4.6% compounded cont...

Q: Select an Answer v 1. 1 4 -8 2 2 7 -12 2 A = , 1 = -1 0 4 -7 0 4 -4 -1 2.

A: As per our guidelines we are supposed to answer only ? 3 sub- parts ( if there are multiple sub- par...

Q: In a AABC, the sides AB and AC are 12 and 15 units long, respectively. the Z. changes at a rate of 4...

A: Consider ∆ABCBy law of cosines(BC)2=(AB)2+(AC)2-2×AB×AC×cos(A)Let length of side BC be "s"Thens2=(12...

Q: Find w such that 2u + v − 3w = 0. u = (−6, 0, 0, 2),   v = (−3, 1, 5, 0)

A:

Q: A normal quantile graph is another name for a histogram. O True O False

A: A histogram is graphical representation that organises a group of data points into user specified ra...

Q: 0. 5 -1 Find the determinant of the 3-by-3 matrix D 3 -4 6 1 2 2

A: We will find the determinant of the given 3 by 3 matrix in the following step.

Q: Write this statement in the form “If p, then q” Every right triangle measures 90°.

A:

Q: For each statement, check all the boxes for the symbols that, when written in the blank space, will ...

A: topic - sets  ∈ (belongs to) is used when element as it is present inside the set  . ⊂(contains in) ...

Q: Rằnge : 3LYL5 Domain : Range : O<YL5 Range:O0/y23 7) 8) 9) -3- Domain: Domain : Domain: Range: Range...

A: Given query is to find the domain and range of the graph.

Q: Graph the exponential function. f(x) = Plot five points on the graph of the function, and also draw ...

A:

Q: +11> 41

A: Given problem:- 13m+11&gt;41 To find:- Solve given inequality

Q: Use synthetic division to divide x – x* + 5x° – 5x2 + 7x – 16 by a – 1 - The quotient is The remaind...

A: Given query is to perform synthetic division.

Q: If f(x)= 2x²and g(x)=3x+1, what is f(g(x))? O18x2-12x+2 O18x2+12x+2 O18x2-12x+2 O18x+12x+2

A: Given fx=2x2 and gx=3x+1 To find f(gx)

Q: The normal probability of a z-score of 1.26 is 89.62%. O True O F

A: given  z score = 1.26  

Q: 18 -18 10 -10 A) P(x) = x3 + 4x2 -x-5 C) P(x)=x5 + 43 - x2 + 3x – 5 B) P(x) =x3 + x2 +x+5 D) P(x) = ...

A: Given query is to find the equation of the graph.

Q: 2. Solve the differential equation dy + xy = xy "Bernoulli" dx with y(0) = 1/2.

A:

Q: ACTIVITY #3 Directions: Solve for the inequality. Use 1 test point for every interval or region. Wri...

A: Given: x2+2x-8≥0

Q: 1. Create a model to represent the following percents. a. 90% b. 0.9% C. 900%

A:

Q: There are 15 qualified applicants for five trainee positions in a fast-food management program. How ...

A:

Q: f (x) = x² sin (10x) [ Select ] [ Select ] [ Select ] f (2) = 2" sin (10x) [ Select ] [ Select ] [ S...

A: Observe each given expression and answer the question. 

Q: (а) 3x< 5х—8

A:

Q: Order the following from least to greatest: 10,000 100%, 100' 1 ,0.001%, 0.001, 1.1, 10, and - ' 10'...

A: We have to write the numbers from least to highest order 

Q: C. Solve each quadratic equation by extracting the square root. Write your solutions on the space pr...

A: Solve the quadratic equation. 

Q: 7 3 The value of k which makes the matrix -8 -5 -5 singular is k = 3 7 k

A:

Q: Consider the two points P(-3,–3, 2) and Q(-2, -4,0) and the vector -1 V = You are given that PQ = -1...

A:

Q: 1. Discuss the possibilities for the roots to : 2x-5x -6x+4 = 0

A:

Q: Find the singular value decompostion of the matrix. 1 - 1 -1 1 1 -

A: We have to find the SVD of 1-11-1-11

Q: Fill in the blanks with what are most likely to be the next letters. Explain (using complete sentenc...

A:

Q: 1 05 2 79 31 1258 is the stem-and-leaf plot for: 4 0 2 51 4 О 110, 15, 27, 29, 31, 32, 35, 38, 40, 4...

A: Given: stem and leaf table is given   

Q: The speed S (m/min) of an object is defined by S = 6t2 + 2t + 3 after t %3D minutes. For the first o...

A: since you have posted multiple question in this question which are not interlinked so i have solved ...

Q: Use synthetic division and the remainder theorem to find the remainder when f(x) is divided by x-c. ...

A:

Q: 6 4 0 13 С — 2 2 8 А В - 3 -1 11 -1 5 7 -5 3

A:

Q: Find the change in the average value after removing 5 from the following list of numbers: 45, 60, 89...

A: Given: List of numbers:45, 60, 89, 115, 120, 99, 103, 130, 5, 101, 69, 75, 98, 107.

Q: 1. Create a model to represent the following percents. 9 a. 90% b. 0.9% C. 900% d. -%- 10

A:

Q: V 64x6 64x6

A:

Q: Consider the sequence {an} where an 3n- n3+n.Write the first 6 terms and then find thei sum. (hint: ...

A:

Q: 3. If the graph of y=x is compressed by a factor of 3 in the y-direction and then shifted 4 units do...

A:

Q: 7. Solve the following equation, working over Z20 and over Z respectively: x2 + 5y2 = 3z2.

A:

Q: Graph the function. 2 -x²+1 for x1 3- 2- -5 -4 -2 -2-

A:

Q: Deiding Pynomials 3 4a

A:

Q: If f(x) = x + 7 and g(x) (a) (f o g)(x) : (b) (g o f)(x) %3D (c) Thus g(x) inverse function of f(x) ...

A: Given problem:- If f(x) = ( x + 7)1/3 and g(x) = x3 + 7   (a) (fog)(x)   (b) (gof)(x)   (c) Thus g(x...

Q: Ayromials dina 2x²+3x-14 X-2

A:

Q: 10) A lot is in the shape of a right triangle. Ihe shozter leg measures 120 m Ihe hypotenuse is 40 m...

A: Given,           A lot is in the shape of a right triangle. The shorter leg measures 120 m. The hypo...

Q: If x- /10 =11, find x-V10x. (a) 1 (b) 10 (c) V10 (d) 3

A:

Q: For numbers 4 – 5 In the following mathematical sentence, find the value of x that makes it false. 4...

A: 4)2x+1≥32x≥3-12x≥2x≥22x≥1The value of x that makes it false is x∈(-∞,1)

Q: If f(x)= 2x²and g(x)=3x+1, what is f(x)2? O-4x? O4x O4x2 O-4x*

A: Given that fx=2x2 and gx=3x+1To find :fx2Solution:

Q: OUse the direct methoels to Solve the fellowry systems of algebriac equatons 4X- 3y +5Z = 34 2X -y-Z...

A:

Q: If f(x)= 2x+7 and g(x)=3x, find for f(x)-g(x)? O5x+7 Ox+7 Ox-7 O5 x-7

A:

Q: E-Loan, an online lending​ service, recently offered 60-month auto loans at 4.5% compounded monthly ...

A:

Q: If f(x)= 2x+7 and g(x)=3x, find for f(g(x))? O6x-7 O6x+7 O5x-7 ОБх+7

A: f(x)=2x+7g(x)=3xf(g(x)) =f(3x)             =2(3x) +7    f(g(x)) =6x+7