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4 years ago

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Write the equation for this situation, then give the x-intercept, y-intercept, and slope. A person is wanting to burn 500 calori

es a day through excercise. They know that they burn 7.3 calories a minute jogging and 11.3 calories a minute running. ALSO - explain what the x and y-intercepts mean in this situation. Your answer:

1 answer:

nevsk [136]4 years ago

4 0

Answer:

$x$ -intercept is $(68.5,0)$

$y$ -intercept is $(0,44.2)$

Step-by-step explanation:

Let $x$ denotes time denoted (in minutes) by a person in jogging.

Let $y$ denotes time denoted (in minutes) by a person in running.

A person is wanting to burn 500 calories a day through exercise. They know that they burn 7.3 calories a minute jogging and 11.3 calories a minute running.

So, equation becomes $7.3x+11.3y=500$

For $x$ -intercept, put $y=0$

$7.3x+11.3(0)=500\\7.3x=500\\x=68.5$

So, $x$ -intercept is $(68.5,0)$

For $y$ -intercept, put $x=0$

$7.3(0)+11.3y=500\\11.3y=500\\y=44.2$

So, $y$ -intercept is $(0,44.2)$

Differentiate equation $7.3x+11.3y=500$ with respect to $x$

$7.3+11.3y'=0\\y'=\frac{-7.3}{11.3}\\ y'=-0.65$

$x-$ intercept means that a person spends 68.5 minutes in jogging and no time in running.

$y-$ intercept means that a person spends 44.2 minutes in running and no time in jogging.

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4 years ago

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decision.

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answer? Check all of the boxes that apply.

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arlier ruling

Which of the following did you include in your

answer? Check all of the boxes that apply.

I summarized the court's argument.

I identified the premises and conclusion.

I analyzed the premises supporting the

decision.

I evaluated the arguments supporting the

decision.

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different meanings as societal values

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Step-by-step explanation:

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2 years ago

We are standing on the top of a 1680 ft tall building and throw a small object upwards. At every second, we measure the distance

MAVERICK [17]

Answer:

a) The height of the small object 3 seconds after being launched is 2304 feet.

b) The small object ascends 128 feet between 5 seconds and 7 seconds.

c) The object will take 6 and 10 seconds after launch to reach a height of 2640 feet.

d) The object will take 21 seconds to hit the ground.

Step-by-step explanation:

The correct formula for the height of the small object is:

$h(t) = -16\cdot t^{2}+256\cdot t+1680$ (1)

Where:

$h$ - Height above the ground, measured in feet.

$t$ - Time, measured in seconds.

a) The height of the small object at given time is found by evaluating the function:

$h(3\,s)= -16\cdot (3\,s)^{2}+256\cdot (3\,s)+1680$

$h(3\,s) = 2304\,ft$

The height of the small object 3 seconds after being launched is 2304 feet.

b) First, we evaluate the function at $t = 5\,s$ and $t = 7\,s$ :

$h(5\,s)= -16\cdot (5\,s)^{2}+256\cdot (5\,s)+1680$

$h(5\,s) = 2560\,s$

$h(7\,s)= -16\cdot (7\,s)^{2}+256\cdot (7\,s)+1680$

$h(7\,s) = 2688\,s$

We notice that the small object ascends in the given interval.

$\Delta h = h(7\,s)-h(5\,s)$

$\Delta h = 128\,ft$

The small object ascends 128 feet between 5 seconds and 7 seconds.

c) If we know that $h = 2640\,ft$ , then (1) is reduced into this second-order polynomial:

$-16\cdot t^{2}+256\cdot t-960=0$ (2)

All roots of the resulting equation come from the Quadratic Formula:

$t_{1} = 10\,s$ and $t_{2}= 6\,s$

The object will take 6 and 10 seconds after launch to reach a height of 2640 feet.

d) If we know that $h = 0\,ft$ , then (1) is reduced into this second-order polynomial:

$-16\cdot t^{2}+256\cdot t +1680 = 0$ (3)

All roots of the resulting equation come from the Quadratic Formula:

$t_{1} = 21\,s$ and $t_{2} = -5\,s$

Just the first root offers a solution that is physically reasonable.

The object will take 21 seconds to hit the ground.

8 0

3 years ago

In Santana's last basketball game he made a total of 22 baskets. Santana

anyanavicka [17]

Answer:

Santana scored 12 2-point baskets.

Step-by-step explanation:

Given that Santana converted 22 baskets in his last basketball game, totaling 54 points at the end of the game, and that in basketball the baskets are worth 2 and 3 points, to determine the number of baskets of each value that Santana converted, the following logic reasoning must be done:

If all the baskets were 2 points, the total of points made would have been 44 (22 x 2). Now, there are 10 more points, which are attributable to the 3-point baskets (that is, each extra point is a 3-point basket). Therefore, since 54 minus 44 equals 10, Santana made 10 3-point baskets and 12 2-point baskets.

This is verified through the following calculation:

(10 x 3) + (12 x 2) = X

30 + 24 = X

54 = X

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3 years ago