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GrogVix
3 days ago
12

Dorrian graphed the distance, y, traveled by 2 bikes in x seconds. If the two bikes are racing a distance of 100 feet, which bik

e will win the race?
Mathematics
2 answers:
AnnZ [9K]3 days ago
6 0

Response:

The bike positioned higher on the y-axis is the one that has traveled a greater distance.

Step-by-step explanation:

If Dorrian charted the positions of the bikes with time in seconds on the x-axis and distance traveled on the y-axis, the x-coordinates for both bikes would align.

However, the bike that finished faster would achieve a higher y-coordinate, while the slower one trail behind with a lower y-coordinate.

Thus, the bike with the higher y-coordinate is the victor of the race.

tester [8.8K]3 days ago
4 0

Response:

D. Bike 1 will secure victory because it has a line slope of three-halves, which is greater than the slope corresponding to Bike 2.

Step-by-step explanation:

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Using cell references, enter a formula in cell B6 to calculate monthly payments for the loan described in this worksheet. The an
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A landlord wanted to determine the number of dogs that each tenant owns. The following data set shows the results from the landl
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The salt enters at a rate of (5 g/L)*(3 L/min) = 15 g/min.

The salt exits at a rate of (x/10 g/L)*(3 L/min) = 3x/10 g/min.

Thus, the total rate of salt flow, represented by x(t) in grams, is defined by the differential equation,

x'(t)=15-\dfrac{3x(t)}{10}

which is linear. Shift the x term to the right side, then multiply both sides by e^{3t/10}:

e^{3t/10}x'+\dfrac{3e^{t/10}}{10}x=15e^{3t/10}

\implies\left(e^{3t/10}x\right)'=15e^{3t/10}

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e^{3t/10}x=50e^{3t/10}+C

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Initially, the tank contains 5 g of salt at time t=0, so we have

5=50+C\implies C=-45

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The duration required for the tank to contain 20 g of salt is t, such that

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