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nalin [4]
3 years ago
10

Through slow on land the leather back turtle holds the record for the fastest water speed of any reptile. The largest leather ba

ck yet discovered could swim at a speed of 9. 78 m/s. If it's KE was 60, 800. 0J, what's the mass
Mathematics
1 answer:
andrew-mc [135]3 years ago
7 0

Answer: 1271.32 kg


Step-by-step explanation:

Given: The speed of turtle with largest leather back= 9.78 m/s

It's Kinetic energy = 60800 joules

We know that with mass 'm' and speed 'v', the formula kinetic energy is given by

K.E.=\frac{1}{2}mv^2\\\\\Rightarrow\ m=\frac{2K.E.}{v^2}\\\\\Rightarrow\ m=\frac{2\times60800}{(9.78)^2}\\\\\Rightarrow\ m=1271.322886\ kg

Hence, the mass of turtle= 1271.32 kg


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A sample of 200 college freshmen was asked how many hours per week they spent playing video games. The following frequency distr
JulsSmile [24]

Answer:

\% Below\ 50 = 88 \%

\% 43\ or\ more = 17 \%

Step-by-step explanation:

Given

Total = 200

<em>The attachment presents the table properly</em>

Solving (a): Percentage of those who play for less than 50 hours weekly

To do this, we simply consider the frequency of students that fall within:

1.0 - 7.9, 8.0 - 14.9,......,43.0 - 49.9

Their frequency is:

Frequency = 21 + 37 + 40 + 27 + 23 + 18 + 10

Frequency = 176

The percentage is then calculated as:

\% Below\ 50 = \frac{Frequency}{Total} * 100\%

\% Below\ 50 = \frac{176}{200} * 100\%

\% Below\ 50 = \frac{176* 100}{200} \%

\% Below\ 50 = \frac{176* 1}{2} \%

\% Below\ 50 = \frac{176}{2} \%

\% Below\ 50 = 88 \%

Solving (b): Percentage of those who play for 43 or more hours weekly

To do this, we simply consider the frequency of students that fall within:

43.0 - 49.9,......,64.0 - 70.9

Their frequency is:

Frequency = 10 + 7 + 5+12

Frequency = 34

The percentage is then calculated as:

\% 43\ or\ more = \frac{Frequency}{Total} * 100\%

\% 43\ or\ more = \frac{34}{200} * 100\%

\% 43\ or\ more = \frac{34* 100}{200} \%

\% 43\ or\ more = \frac{34* 1}{2} \%

\% 43\ or\ more = \frac{34}{2} \%

\% 43\ or\ more = 17 \%

7 0
3 years ago
Sara won a $999 shopping spree. The last thing she bought was a CD for $16. Not including the CD, she has spent $859. Yes or No,
Helga [31]

Answer:

the answer is no

Step-by-step explanation:

first i added the price of the CD to how much Sara has won already, so that i know exactly how much Sara has left, which is $875. then i added the cost of the dvd player to see if it was more than 999, and it was. with the dvd player the total would be $1,014

4 0
3 years ago
There are 18 animals. Some cows and some ducks with a total of 60 legs. How many cows and how many ducks?
malfutka [58]
X + Y = 18
X=chickens, Y=Cows
2x + 4y = 60
Let's try 8 and 10.
16 + 40=56, no, 32+20=52, no. 8&10 do not work.
Let's try 9 and 9.
18+36=54, no. 9&9 do not work.
Let's try 11 & 7.
22+28=50, no. 14+44=58, no.
Let's try 12 & 6.
24+24=48, no. 12+48=60 YES!
There are 12 cows and 6 chickens.
5 0
4 years ago
The area of a bedroom is 150 ft.² theory of a scale drawing is 6 in.² what is the scale factor
Kipish [7]

Answer:

900

Step-by-step explanation:

7 0
3 years ago
Each car in a rental fleet is either red or white, and there are 75 cars total. There are three more white than twice the number
professor190 [17]
Number of red cars = x
Number of white cars = y

x + y = 75
y + 3 = 2x

x + y = 75
y = 75 - x

(75 - x) + 3 = 2x
78 = 3x
26 = x

y + 3 = 2(26)
y + 3 = 52
y = 49

There are 49 white cars.
8 0
3 years ago
Read 2 more answers
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