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madam
20 days ago
9

Explain why if a runner completes a 6.2â-mi race in 32 âmin, then he must have been running at exactly 11 âmi/hr at least twice

in the race. Assume theâ runner's speed at the finish line is zero.
Mathematics
1 answer:
lawyer [9.2K]20 days ago
3 0

Response:

As the runner accelerates to peak speed, he then decelerates to reach the finish line.

Step-by-step clarification:

Maintaining a steady pace of 11 mph throughout his 32-minute run, the distance covered would be:

d=11*\frac{32}{60}\\d= 5.87\ mi

This indicates that to complete the 6.2-mile race, the runner needs to exceed 11 mph. Assuming he starts from a standstill, he accelerates to over 11 mph. Since he comes to a stop at the finish line, the runner must slow down from his higher speed (which is above 11 mph), passing through 11 mph before ultimately halting.

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The cost of soup, s, varies directly with the number of cans, c. When c is 4, the cost is $3. Which graph represents the cost of
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It is understood that

A direct variation exists between two variables, x and y, if it can be represented as

\frac{y}{x} =k\ or\ y=kx

In this particular scenario

Define

x--------> the count of cans

y-------> the expense of a soup

therefore

when

x=4\ cans\\y=\$3

substituting

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the resulting equation is

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by utilizing a graphing tool

refer to the figure attached

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26 days ago
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Dominic runs a farm stand that sells peaches and grapes yesterday Dominic sold 34 pounds of peaches and 45 lb of grapes for a to
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Respuesta:34p+16g=208

47p+16g=208

Explicación paso a paso:

Definamos p como el costo por libra de duraznos.

Definamos g como el costo por libra de uvas.

Como cada libra de duraznos se vende a $p, 34 libras de duraznos generarán 34p dólares. Por su parte, cada libra de uvas dará un total de 45g dólares. Por lo tanto, la suma total es 34p+45g=192.25.

De manera similar, si vendemos 47 libras de duraznos y 16 libras de uvas por $208, se establece la ecuación

47p+16g=208.

34p+45g=192.25

47+16g=208

3 0
21 day ago
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Zina [9179]

Answer:

Utilize the regression calculator to analyze the correlation between the total runs scored by the teams and their wins.

A table with 2 columns and 9 rows has been presented. The first column, labeled R, includes the numbers 808, 768, 655, 684, 637, 619, 613, 609, and 563. The second column, labeled W, presents the figures 93, 94, 66, 81, 86, 75, 61, 69, and 55.

What is the y-intercept of the trend line, rounded to the nearest hundredth?

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The answer is 21 distinct paths.
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7 days ago
Q is in the interior of angle ROS S in the interior of angle QOP. P is in the interior of angle SOR. S is in the interior of ang
PIT_PIT [9121]

∠ROT=160°

∠SOT=100°

Now we calculate ∠SOR as follows: ∠SOR = ∠ROT - ∠SOT

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It is stated that the angles ROQ, QOS, and POT all have the same measure.

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