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Juliette [100K]
2 years ago
8

When a ball is thrown into the air, the path that the ball travels is modeled by the parabola y − 5 = −0.05(x − 10)2, measured i

n feet. What is the maximum height the ball reaches?
Mathematics
1 answer:
beks73 [17]2 years ago
4 0

Answer:

the maximum height in feet the ball reaches 5ft

Step-by-step explanation:

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The ratio of hotdogs to hamburgers is 8:3. if 272 hotdogs were sold how many hamburgers were sold.
Blababa [14]

Answer:

102 hamburgers

Step-by-step explanation:

Hotdogs: 8 272

Hamburgers: 3 HB

8/3=272/HB

3*272=8HB

816=8HB

HB=102

7 0
3 years ago
Not sure if any of this is correct, but it’s what I got so far
Irina18 [472]

Problem 1 is correct. You use the pythagorean theorem to find the hypotenuse.

==================================================

Problem 2 has the correct answer, but one part of the steps is a bit strange. I agree with the 132 ft/sec portion; however, I'm not sure why you wrote \frac{1 \text{ sec}}{132 \text{ ft}}=\frac{0.59\overline{09}}{78 \text{ ft}}*127 \text{ ft}

I would write it as \frac{1\text{ sec}}{132 \text{ ft}}*127 \text{ ft} = \frac{127}{132} \text{ sec} \approx 0.96 \text{ sec}

==================================================

For problem 3, we first need to convert the runner's speed from mph to feet per second.

17.5 \text{ mph} = \frac{17.5 \text{ mi}}{1 \text{ hr}}*\frac{1 \text{ hr}}{60 \text{ min}}*\frac{1 \text{ min}}{60 \text{ sec}}*\frac{5280 \text{ ft}}{1 \text{ mi}} \approx 25.667 \text{ ft per sec}

Since the runner needs to travel 90-12 = 78 ft, this means\text{time} = \frac{\text{distance}}{\text{speed}} \approx \frac{78 \text{ ft}}{25.667 \text{ ft per sec}} \approx 3.039 \text{ sec}

So the runner needs about 3.039 seconds. In problem 2, you calculated that it takes about 0.96 seconds for the ball to go from home to second base. The runner will not beat the throw. The ball gets where it needs to go well before the runner arrives there too.

-------------

The question is now: how much of a lead does the runner need in order to beat the throw?

Well the runner needs to get to second base in under 0.96 seconds.

Let's calculate the distance based on that, and based on the speed we calculated earlier above.

\text{distance} = \text{rate}*\text{time} \approx (25.667 \text{ ft per sec})*(0.96 \text{ sec}) \approx 24.64032 \text{ ft}

This is the distance the runner can travel if the runner only has 0.96 seconds. So the lead needed is 90-24.64032 = 65.35968 feet

This is probably not reasonable considering it's well over halfway (because 65.35968/90 = 0.726 = 72.6%). If the runner is leading over halfway, then the runner is probably already in the running motion and not being stationary.

As you can see, the runner is very unlikely to steal second base. Though of course such events do happen in real life. What may explain this is the reaction time of the catcher may add on just enough time for the runner to steal second base. For this problem however, we aren't considering the reaction time. Also, not all catchers can throw the ball at 90 mph which is quite fast. According to quick research, the MLB says the average catcher speed is about 81.8 mph. This slower throwing speed may account for why stealing second base isn't literally impossible, although it's still fairly difficult.

5 0
2 years ago
Chris is riding her bike for 10 miles. She averages 12 mi/h. how many more minutes must she ride before she travels 60 miles?
madam [21]

Answer:

5 Minutes

take 10 and add 12 for each minute until you pass 60

3 0
3 years ago
Sara wanted to gather data about the cost of local gyms in her area. She plotted the data and determined that the average gym co
Juli2301 [7.4K]

Answer:

y-intercept is 30

Step-by-step explanation:

Given the model  y = 10x + 30. comparing this model to the equation of a straight lines  we can get the y- intercept

y = 10x + 30\\\y= mx+c

The y- intercept is 30 which is the constant factor and it describes to us about the one-time registration fee of $30.

5 0
2 years ago
PLEASE HELP ASAP<br> could i just count the squares to get the right answer
natulia [17]

Answer:

a)20 is the answers for the question

Step-by-step explanation:

please give me brainlest and follow me

6 0
2 years ago
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