Answer:
Step-by-step explanation:
The unit rate of the 100m race is 2.12... m/s which you get by dividing the 100 meters by the 47 seconds. The unit rate for the 50m race is 2.08... m/s which you get by dividing the 50 meters by the 24 seconds. This means that the record for the 100m race is faster.
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Answer:</h2>
Option: C is the correct answer.
C.) x = −3.8, 3
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Step-by-step explanation:</h2>
The function f(x) is given by:
and the function g(x) is given by:
Now, we are asked to find the solution of the equation:
i.e. we have to find the value of x such that both the functions are equal i.e.
Now, on solving the equation using the quadratic formula i.e. the solution of the equation:
is given by:
Here we have:
Hence, the solution is given by:
I'm not sure how to do this manually but if you plug in 7/12 in a scientific calculator and then press sin -1 you'll get approximately 35.685
Answer:
140,000
Step-by-step explanation:
Take 400,000 * 0.35 = 140,000.
When given a percentage, take the number and divide by 100.
In this case 35 / 100 = 0.35.
Then you can take the total amount and multiply it by the percentage in decimal form.
In this case 400,000 * 0.35
Answer:
180 coins
Explanation:
N = number of nickels (no nickels spent)
D = number of dimes initially saved
D' = number of dimes left after spending
1) N = D + 43
2) D' = D - 17
3) N = 2*D' = 2*(D - 17)
Set equations 1) and 3) equal to each other and solve for D:
D + 43 = 2*(D - 17)
D + 43 = 2*D - 34
D = 43 + 34 = 77
N = D + 43 = 77 + 43 = 120 nickels left
D' = D - 17 = 77 - 17 = 60 dimes left
Total coins left = 120 + 60 = 180 coins (I hope this is not too confusing for you)
