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frosja888 [35]
3 years ago
14

Two trains travel for eleven hours, starting from the same place traveling in opposite directions. one train travels at an avera

ge rate that is 15 miles per hour faster than the other train. find the rate of each train if they are 291 miles apart after three hours.

Mathematics
1 answer:
ohaa [14]3 years ago
5 0
Please view picture for solution.

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Find the first five terms of the recursive sequence <br> an=-6an-1 where a1=4.5
grandymaker [24]

Answer:

4.5, -27, 162,-972, 5832

Step-by-step explanation:

The given recursive definition is,

a_n=-6a_{n-1}, a_1=4.5

This will form a geometric sequence with first term 4.5 and common ratio r=-6.

When n=2, we have:

a_2=-6a_1 \\  \implies \: a_2=-6 \times 4.5 =  - 27

When n=3, we get:

a_3=-6a_2 \\  \implies \: a_3=-6 \times  - 27 =  162

When n=4, we get:

a_4=-6a_3 \\  \implies \: a_4=-6 \times 162 =  - 972

When n=5, we get:

a_5=-6a_4 \\  \implies \: a_5=-6 \times  - 972 = 5832

Therefore the first five terms are:

4.5, -27, 162,-972, 5832

3 0
4 years ago
Please, help meeeeee
aalyn [17]

Answer:

y = 500x + 1000

Step-by-step explanation:

The standadrd equation of a line is expressed as y = mx+b

m is the slope

is the y-intercept

Using the coordinate points (0, 1000) and (6, 4000)

Slope = y2-y1/x2-x1

Slope  = 4000 - 1000/6-0

Slope m = 3000/6

Slope m = 500

Since the line cut the y axis at y = 1000, hence the intercept b = 1000

Get the required equation;

Reall that y = mx+b

y = 500x + 1000

3 0
3 years ago
PLEASE PLEASE PLEASE PLEASE HELP!!!!!!
alexira [117]
It's A
because it can be into a decimal and then to an equation
8 0
3 years ago
Read 2 more answers
Order from GREATEST to LEAST. 342,645 432,784 324,792 415,675 434,775
Reil [10]

Answer:

792, 784, 775, 675, 645, 434, 432, 415, 342, 324.

8 0
4 years ago
A right angle triangle is shown with hypotenuse equal to 13 centimeters. An acute angle of the triangle is labeled as x degrees.
erastova [34]
Sin = opposite/hypotenuse

so sin (x) = 12/13

answer is 12/13
7 0
4 years ago
Read 2 more answers
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