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JulijaS [17]
2 years ago
7

calculate the time taken for a train to travel 1000m if its initial is 3 m/s and it is moving at a constant acceleration of 0.1m

/s^2
Mathematics
1 answer:
Anna [14]2 years ago
7 0

Answer:

Step-by-step explanation:

For obects already in motion, the distance travelled, s, is:

s = vi*t + (1/2)at^2

where vi is the initial velocity, a is the acceleration, and t is the time in seconds.

We want the time, t, to reach 1000 meters.

1000 m = (3 m/s)*t + (1/2)*(0.1m/s^2)*(t^2)

(1/2)*(0.1m/s^2)*(t^2) = 0.05t^2

0.05t^2 + 3t -1000 = 0

Solve quadratic equation:

t = 114.6 seconds

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If there are 32 boys and 16 girls in a room, fill out all of the possible ratios of boys to girls that could be made.
Flauer [41]

Answer:

1)   1:2

 

2)   2:4  

3)   4:8  

4)   8:16  

5)   16:32

4 0
2 years ago
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A contractor has been hired to install flooring for a bandstand in the shape of a circle that is 21 feet across. How many square
SOVA2 [1]

Answer:

A. 346.19 square feet.

Step-by-step explanation:

We have been given that a contractor has been hired to install flooring for a bandstand in the shape of a circle that is 21 feet across.

To find the square feet of flooring required, we will find area of circle.

Since the length across the circle is 21 feet, so radius of circle will be half of 21 feet.

\text{Radius}=\frac{\text{21 feet}}{2}

\text{Radius}=\text{10.5 feet}

\text{Area of circle}=\pi r^2

\text{Area of circle}=\pi (\text{10.5 feet})^2

\text{Area of circle}=3.14*110.25\text{ feet}^2

\text{Area of circle}=346.185\text{ feet}^2

\text{Area of circle}\approx 346.19\text{ feet}^2

Therefore, 346.19 square feet of flooring will be required.

3 0
4 years ago
Read 2 more answers
What are the coordinates of the terminal point for 8 = 4pie/3?
astra-53 [7]

9514 1404 393

Answer:

  B

Step-by-step explanation:

(4π)/3 is a 3rd-quadrant angle with a reference angle of π/3 = 60°. This means both coordinates of the terminal point are negative, and the x-coordinate has the smaller magnitude. The only applicable choice is ...

  B. (-1/2, -√3/2)

7 0
3 years ago
1. You are at the grocery store and you purchase 2 packs of steaks for $9.99 each.  Sales tax is 6%.  How much will you pay in s
Artemon [7]
1 steak costs $9.99
2 steaks cost 2*9.99 = $19.98
This is before tax is applied

Apply the 6% tax to get 
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which rounds to 1.20 (rounded to the nearest penny)

The sales tax is therefore $1.20

Add this to the previous total (19.98) and we get a grand total of 19.98+1.20 = 21.18 which is the final cost (with tax included)

note: we can multiply 19.98 by the value 1.06 to get 19.98*1.06 = 21.1788 and that rounds to 21.18; so it's a different route to the second answer
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3 years ago
Sorting the data from smallest to largest is a useful first step that makes calculating which measure(s) of central tendency eas
Nikolay [14]

Sorting the data from smallest to largest is a useful first step that makes calculating Median and Mode easier

We know,  the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution.

The mode is the value that appears most often in a set of data values. If X is a discrete random variable, the mode is the value x at which the probability mass function takes its maximum value.

So, when we sorting the data from smallest to largest is a useful first step that makes calculating the median easier. Because median is the middle term of the ordered data set.

Similarly, It will be easier to find the most frequent in the ordered data set

that is mode

Hence, sorting the data from smallest to largest is a useful first step that makes calculating Median and Mode easier

Learn more about Median here

brainly.com/question/28060453

#SPJ4

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