MATHEMATICS HIGH SCHOOL

Question 71 pts
Bobby ran 1 lap around the track in 52.36 seconds. Jessie ran a lap in 49.4 seconds. How many
seconds faster was Jessie's lap?
O 29.6 seconds
O 0.296 seconds
4.742 seconds
O 2.96 seconds

Answers

Answer 1
Answer:

Answer:

0.296

Step-by-step explanation:

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Which addition does the model below represent?3 + (negative 1)3 + 4
3 + (negative 4)
3 + 1

Answers

Answer:

3+(-4)

Step-by-step explanation:

i got it right

Which of these is not part of an algebraic equation? A
an inequality sign
B
an expression
C
an equal sign
D
a variable

Answers

Answer:

A-an inequality sign

Step-by-step explanation:

inequality sign:  greater then, less than, equal to.

expression: 2x + 3  no equal sign

equal sign: =

Variable: a letter in the equation such as n x 6=?

Hope this is correct.

Find the first five terms of the sequence defined by each of these recurrencerelations and initial conditions.
a) an = 6an-1, a0 = 2
b) an = −2an-1, a0 = −1
c) an = an-1 – an-2, a0 = 2, a1 = −1

Answers

a) The first five terms of the sequence are 2, 12, 72, 432, 2592.
b) The first five terms of the sequence are -1, 2, -4, 8, -16.

c) The first five terms of the sequence are 2, -1, -3, -2, 1.

To find the first five terms of the sequence defined by each of these recurrence relations and initial conditions, we will use the given recurrence relation and initial conditions to find the next terms in the sequence.

a) an = 6an-1, a0 = 2

The first term is given as a0 = 2. We will use the recurrence relation to find the next terms.
a1 = 6a0 = 6(2) = 12
a2 = 6a1 = 6(12) = 72
a3 = 6a2 = 6(72) = 432
a4 = 6a3 = 6(432) = 2592

So, the first five terms of the sequence are 2, 12, 72, 432, 2592.

b) an = −2an-1, a0 = −1

The first term is given as a0 = -1. We will use the recurrence relation to find the next terms.
a1 = -2a0 = -2(-1) = 2
a2 = -2a1 = -2(2) = -4
a3 = -2a2 = -2(-4) = 8
a4 = -2a3 = -2(8) = -16

So, the first five terms of the sequence are -1, 2, -4, 8, -16.

c) an = an-1 – an-2, a0 = 2, a1 = −1

The first two terms are given as a0 = 2 and a1 = -1. We will use the recurrence relation to find the next terms.
a2 = a1 - a0 = -1 - 2 = -3
a3 = a2 - a1 = -3 - (-1) = -2
a4 = a3 - a2 = -2 - (-3) = 1

So, the first five terms of the sequence are 2, -1, -3, -2, 1.

Learn more about Recurrence

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Which of the following is the solution to (x-13)<18

Answers

Answer:

The solution to the equation (x-13)<18 is that x can be equal to the numbers 0-17 (NOT including negative numbers)

Whatisthevalueof5.8dividedby1.2

Answers

 5.8 / 1.2 = 4.83 I hope this is helpful!

Find the function rule for g(x). The function f(x) = x2 . The graph of g(x) is f(x) translated to the right 8 units and down 7 units. What is the function rule for g(x)? A. g(x) = (x + 7)2 + 8
B. g(x) = (x + 8)2 + 7
C. g(x) = (x - 7)2 - 8
D. g(x) = (x - 8)2 - 7

Answers

f(x)=x^2
Translated to the right 8 units: h(x)=(x-8)^2
and down 7 units: g(x)=(x-8)^2-7

Answer: Option D. g(x)=(x-8)^2-7
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