AnswersCR Math Analysis S1 M4050OXApplying Vectors in the Plane

Applying Vectors in the Plane — Cumulative exam Answers

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41
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Jonathan and Kevin each rewrote and evaluated the expression . They arrived at different answers. JonathanStep1:Step 2:Step 3:Solution:KevinStep 1:Step 2:Step 3:Step 4:Solution:Which of the following is true?

Question illustration
A
Jonathan is correct. Kevin made an error at step 1.
B
Jonathan is correct. Kevin made an error at step 3.
C
Kevin is correct. Jonathan made an error at step 2.
D
Kevin is correct. Jonathan made an error at step 3.
42
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Eliminate the parameter in the equations x = and y = t – 4. How can the rectangular equation be described?

Question illustration
A
cubic
B
linear
C
quartic
D
quadratic
43

A furniture store offers a one-year monthly installment plan for a set of living room furniture. The payment for the first month is $65, and then it increases by 5% each month for the rest of the year. How much money is paid after 12 months? Round your answer to the nearest dollar.

A
$780
B
$819
C
$1,035
D
$1,401
44

The amount of interest earned on an account can be represented using the recursive formula . If , and n represents the number of months the money is invested, what is the balance at the end of each month for the first three months?

Question illustration
A
$255.00, $260.10, $265.30
B
$255.00, $260.10, $265.20
C
$255.00, $256.02, $257.04
D
$255.00, $250.00, $245.10
45

The graph of an ellipse is shown.

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
46

When deriving the Law of Cosines, the equation is created using the Pythagorean theorem. Use substitution to replace in the equation below and then simplify.

Question illustration
A
square of c = square of a + square of b minus 2bx
Option A
B
square of c = square of a minus square of b minus 2bx
Option B
C
square of c = square of a minus square of x + square of b minus 2bx + square of x
Option C
D
square of c = square of h + square of a + square of b minus 2bx
Option D
47

Solve the Law of Cosine: for cos C.

Question illustration
A
cosine C = StartFraction square of a + square of b minus square of c over 2ab EndFraction
Option A
B
cosine C = StartFraction square of a + square of b + square of c over negative 2ab EndFraction
Option B
C
cosine C = StartFraction square of c minus square of a minus square of b over 2ab EndFraction
Option C
D
cosine C = StartFraction square of negative c + square of a + square of b over negative 2ab EndFraction
Option D
48

Which graph represents the parametric equations x = 1 – t2 and y = 2t, where 0 ≤ t ≤ 5?

A
On a coordinate plane, a curve starts at (1, 0) and curves up through (0, 2) to (negative 24, 10).
Option A
B
On a coordinate plane, a curve starts at (1, 0) and curves down through (0, negative 2) to (negative 24, negative 10).
Option B
C
On a coordinate plane, a curve starts at (1, 0) and curves down through (2, negative 2) to (26, negative 10).
Option C
D
On a coordinate plane, a curve starts at (1, 0) and curves up through (2, 2) to (26, 10).
Option D
49

Question text not available

Question illustration
A
x = −4.6 and x = 4.6
B
x = −3.5 and x = 3.5
C
y = −4.6 and y = 4.6
D
y = −3.5 and y = 3.5
50

Which equation represents the rectangular form of r = 8?

A
x2 + y2 = 16
B
x2 + y2 = 64
C
StartRoot x squared + y squared EndRoot = 16
Option C
D
StartRoot x squared + y squared EndRoot = 64
Option D
51

The expression represents the sum of the first 200 multiples of 3. What is the sum of the first 200 multiples of 3?

Question illustration
A
803
B
60,300
C
120,600
D
360,000
52

What is the positive slope of the asymptote of = 1? The positive slope of the asymptote is .

Answer not available
53

The sum of two complex numbers, where the real numbers do not equal zero, results in a sum of 22i. Which statement must be true about the complex numbers?

A
The complex numbers have equal imaginary coefficients.
B
The complex numbers have equal real numbers.
C
The complex numbers have opposite imaginary coefficients.
D
The complex numbers have opposite real numbers.
54

If z = 1 + i, what is z5?

Question illustration
A
16 + 16i
Option A
B
–16 + 16i
Option B
C
16 – 16i
Option C
D
–16 – 16i
Option D
55

What is the simplest form of the fraction that represents 0.3333...?

A
mc026-1.jpg
Option A
B
mc026-2.jpg
Option B
C
mc026-3.jpg
Option C
D
mc026-4.jpg
Option D
56

Review the graph of a piecewise function.

Question illustration
A
–3
B
–1
C
1
D
3
57

Which of the following can be used to evaluate the series ?

Question illustration
A
mc013-2.jpg
Option A
B
mc013-3.jpg
Option B
C
mc013-4.jpg
Option C
D
mc013-5.jpg
Option D
58

A plane flies 35 km in the direction N 30° W, then flies 60 km in the direction N 60° E. How far is the plane from its original location?

A
29.64 km
B
58.21 km
C
69.46 km
D
93.66 km
59

Review the graph.

Question illustration
A
LeftAngleBracket 7, negative 3 RightAngleBracket and 23 degrees
Option A
B
LeftAngleBracket negative 7, 3 RightAngleBracket and 23 degrees
Option B
C
LeftAngleBracket 7, negative 3 RightAngleBracket and 157 degrees
Option C
D
LeftAngleBracket negative 7, 3 RightAngleBracket and 15.7 degrees
Option D

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