the first term of an arithmetic sequence is 4 and the tenth term is 67. what is the common difference?

Which fraction is in simplest form? A) 6/8 B) 7/12 C) 5/9 D) 3/51

I believe C. 5/9 is correct

4 0

3 years ago

Enter the correct answer in the box. Function g is the result of these transformations on the parent sine function: vertical str

Llana [10]

Answer:

By substituting the values of A, C, and D the equation modelling the function is;

g(x) = 3·sin(x - π/2) - 4

Step-by-step explanation:

From the given information, we have;

The vertical stretch of the sine function = 3 × The parent function

∴ A = 3

Given that the horizontal shift left = π/2 units, (from an online source with similar question)

The vertical shift down = 4 units

The given function, g is g(x) = A·sin(x + C) + D

Where;

A = The amplitude = The maximum displacement from the rest or equilibrium position = 3

C = The horizontal shift = -π/2 (The negative sign is for the shifting to the left)

D = The vertical shift = -4 (The negative sign is for a shift in the downward direction)

Therefore, the equation modelling the function is;

g(x) = 3·sin(x - π/2) - 4

6 0

2 years ago

Read 2 more answers

Sophia exchanged 1000 U.S. dollars for the South African currency, which is called the rand. The exchange rate was 7.15 rand to

dolphi86 [110]

Part a:-

7.15 rands = 1 dollar

So we are going to MULTIPLY to find out how many rands there are going to be.

1000 × 7.15 = 7150

So, 7150 rands is your answer.

Part b:-

To do this first we will DIVIDE.

6274 ÷ 7.15 ≈ 877.482.......

So, 6274 rands is ABOUT $878.

Par a:- 7150 rands

Part b:- about $878.

Hope I helped ya!!!!!

3 0

3 years ago

Which property applies only to addition and multiplication

True [87]

The property the applies only to addition and multiplication is the commutative property. It means that the numbers can be arranges in any order. so for example you will get the same answer whether you do
5+6 or 6+5

6 0

3 years ago

Read 2 more answers

Alice skates 2/5 mile in 1/5 hour. Elizabeth skates 2/3 mile in 2/9 hour. How far did elisabeth escape in in 1 hour?

sergeinik [125]

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