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liq [111]
3 years ago
5

Convert 60 miles per hour into meters per second

Mathematics
1 answer:
Svetllana [295]3 years ago
3 0
1,609.35 meters are in a mile.
3,600 seconds are in an hour.

1,609.35meters x 60miles = 96,561 meters per hour
96,561meters per hour / 3,600seconds = 26.82 meters per second
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the Following table shows alexandra's investment options over the course of three years. Her initial investment was $1,000 . wri
Y_Kistochka [10]

The pattern in the given series of amount in the account are in the form of

arithmetic and geometric progression.

  • The function for Option 1 is;  \underline{ f(n) = 1,100 + (n - 1) \cdot 100}
  • The function for Option 2 is; \underline{f(n) = 1,100 \times  1.1^{(n - 1)}}

Reasons:

The given table of values is presented as follows;

\begin{tabular}{c|c|c|c|}Number of years&1&2&3\\Option 1 (Amount in dollars)&1,100&1,200&1,300\\Option 2 (Amount in dollars)&1,100&1,210&1,331\end{array}\right]

In Option 1, the amount in dollars for each year has a common difference of d = 100

The first term, a = 1,100

Therefore;

The Option 1 can be represented as an arithmetic progression , A.P. in the

form, tₙ = a + (n - 1)·d as follows;

For the Option 1, we have;

  • The amount in dollars after <em>n</em> years, \underline{ f(n) = 1,100 + (n - 1) \cdot 100}

For Option 2, it is possible to find;

1,331 ÷ 1,210 = 1,210 ÷ 1,100 = 1.1

Therefore;

The terms in the Option 2 have a common ratio of r = 1.1

The Option 2 is a geometric progression, G.P.

The first term in Option 2 is a = 1,100

Which gives, the nth term, tₙ = a·r⁽ⁿ ⁻ ¹⁾

Therefor;

  • The function for the Option 2 is; \underline{f(n) = 1,100 \times  1.1^{(n - 1)}}

Learn more about arithmetic and geometric progression here:

brainly.com/question/8932895

brainly.com/question/22977503

4 0
2 years ago
Is the function even odd or neither?
Mandarinka [93]

The answer is the first option: Even.

The explanation for this exercise is shown below:

1. By definition, if f(x)=f(-x) the fucntion is even.

2. When the graph is symmetric with respect to the y-axis, it is an even function.

3. As you you can see in the graph attached in the problem, the graph is symmetric about the y-axis. Therefore, you can conclude it is an even function.

5 0
2 years ago
*PART D QUESTIONS ONLY*
BlackZzzverrR [31]

Answer:

look at the pictures

Step-by-step explanation:

7 0
2 years ago
for your career project, you plan to design ans sell t-shirts. During the first 5 weeks of selling the shirts, the functions f(s
stepladder [879]

Using translation concepts, we have that:

  • The new profit equation is f(x) = (8s/3) - 20, which is a vertical stretch by a factor of 2 of the graph of f(s).
  • Selling 300 shirts, the new profit is of $780.

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

For this problem, the profit function is given by:

f(s) = 4/3s - 20

To double the function, we multiply the slope by 2, hence the new profit equation is:

f(s) = 8/3s - 20.

This new function is a vertical stretch by a factor of 2 of the graph of f(s).

The new profit selling 300 shirts is given by:

f(300) = (8/3) x 300 - 20 = 8 x 100 - 20 = $780.

More can be learned about translation concepts at brainly.com/question/28373831

#SPJ1

4 0
1 year ago
I Need Help Somebody Please .
sammy [17]

Answer:

me TWO

Step-by-step explanation:

7 0
3 years ago
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