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Alex
3 years ago
7

Change this number from standard notation to scientific notation. 22.98504

Mathematics
1 answer:
salantis [7]3 years ago
8 0
It would be: 2.298504 * 10^1
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The function f(t) = 4t2 − 8t + 6 shows the height from the ground f(t), in meters, of a roller coaster car at different times t.
gregori [183]

Answer:

The correct option is 3.

Step-by-step explanation:

The vertex form of a parabola is

f(x)=a(x-h)^2+k            .... (1)

where a, h, and k are integers, and interpret the vertex of f(t). (h,k) is the vertex of the parabola.

The given function is

f(x)=4t^2-8t+6

It can be written as

f(x)=4(t^2-2t)+6

If an expression is defined as x^2+bx, then we need to add (\frac{b}{2})^2 to make it perfect square.

In the expression t^2-2t the value of b is -2. So, we nned to add and subtract (\frac{-2}{2})^2 in the parenthesis.

f(x)=4(t^2-2t+1^2-1^2)+6

f(x)=4(t^2-2t+1)+4(-1)+6

f(x)=4(t-1)^2-4+6

f(x)=4(t-1)^2+2                .... (2)

The vertex form of the parabola is f(x)=4(t-1)^2+2.

From (1) and (2), we get h=1 and k=2. It means the vertex of the parabola is (1,2). Vertex of upward parabola is point of minima. So the  minimum height of the roller coaster is 2 meters from the ground.

Therefore the correct option is 3.

4 0
3 years ago
Please help me with this question!
Vitek1552 [10]

Answer:

h=2×6/8

x^2=h^2+4

x=5/2

5 0
3 years ago
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. The first quadrant of a
fiasKO [112]
Pretend this isn’t here
7 0
4 years ago
The cost of hiring a trailer for t hours is C= 5t+10 <br> draw the graph of C against t
Ber [7]

Answer:

See below

Step-by-step explanation:

Given that

<h2>C = 5t + 10</h2>

We can simply take t as 1,2, 3 and so on and put it in the above equation. After finding out C, we can plot the points accordingly.

<u>OR</u>

We can simply use a graphing calculator.

See the attached file!

7 0
3 years ago
A swimming pool can be filled in 15 hours if water enters through a pipe​ alone, or in 23 hours if water enters through a hose a
kykrilka [37]

Answer:

9.08 hours

Step-by-step explanation:

in order to fill 1 pool

fill rate by pipe = 1 pool / 15 hours = 1/15 pool per hour

fill rate by hose = 1 pool / 23 hours = 1/23 pool per hour

combined rate = fill rate by pipe + fill rate by pool

= 1/15 + 1/23 = 38/345 pool per hour

since:

38/345 pool ----------->  will take 1 hour

1 pool --------------------> will take 1 hour x (345/38) = 9.08 hours

4 0
3 years ago
Read 2 more answers
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