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2 years ago

14

100 POINTS !! The trajectory of a potato launched from a potato cannon on the ground at an angle of 45 degrees with an initial s

peed of 70 meters per second can be modeled by the parabola f(x) = x − 0.002x2, where the x-axis is the ground. Find the height of the highest point of the trajectory and the horizontal distance the potato travels before hitting the ground. A.height: 125 m; distance: 500 m B.height: 250 m; distance: 22 m C. height: 500 m; distance: 125 m D. height: 22 m; distance: 250 m

2 answers:

Aleonysh [2.5K]2 years ago

8 0

$\\ \rm\rightarrowtail y=x-0.002x^2$

So

Put 250

$\\ \rm\rightarrowtail y=250-0.002(250)^2$

$\\ \rm\rightarrowtail y=250-0.002(62500)$

$\\ \rm\rightarrowtail y=250-125$

$\\ \rm\rightarrowtail y=125m$

This is max height

Distance:-

2×height
2×125
500m

stellarik [79]2 years ago

6 0

Answer:

height: 125m; distance: 500m

Step-by-step explanation:

x = 250

f(x) = x − 0.002x2

f(x) = 250 − 0.002(250 )2

= 250 − 0.002(62,500)

= 250 − 125

= 125

250 times 2 = 500

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Suppose you play a game in which 5 dice (6-sided) are rolled simultaneously.

goblinko [34]

The expected value of the game in which 5 dice (6-sided) are rolled simultaneously is -0.2094.

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Suppose you play a game in which 5 dice (6-sided) are rolled simultaneously.

If a "4" is rolled, then you win $2 for each "4" showing.
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<h3>How to find that a given condition can be modeled by binomial distribution?</h3>

Binomial distributions consists of n independent Bernoulli trials. Bernoulli trials are those trials which end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))

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Put the values as 5 trials for each time 4 appears.

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3 0

2 years ago

Help plsssssssssssssss

shepuryov [24]

Answer:

38

Step-by-step explanation:

The sum of the measures of the 4 angles is 180°.

m<A + m<B + m<C + m<D = 180

60 + 2x + 3x + 25 = 180

5x + 85 = 180

5x = 95

x = 19

m<B = 2x = 2(19) = 38

Answer: 38

7 0

2 years ago

Round 89678 to the nearest hundredth thousand

Morgarella [4.7K]

I think it would be 100000 because it’s the closest to that number.

8 0

3 years ago

Read 2 more answers

Select the correct answer from each drop-down menu.

Natali5045456 [20]

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

Answer: $\textsf{Option A, 13}$

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Given: $\textsf{Side length = 9 units}$

Find: $\textsf{Diagonal length}$

Solution: The diagonal length can be easily determined using an equation which uses the side length of a square multiplied by the square root of 2. All we need to do is plug in the values and simplify the expression.

<u>Plug in the values</u>

$\textsf{Diagonal = Side length} * \sqrt{2}$

$\textsf{Diagonal = 9 units} * \sqrt{2}$

<u>Simplify the expression</u>

$\textsf{Diagonal = 9 units * 1.4142}$

$\textsf{Diagonal = 12.73 units}$

Looking at the answer options that have been provided, the option that best fits our scenario is option A, 13.

4 0

2 years ago

the estimated world population in 2011 was 7 x 10^9. Of the total population, 682 million of those people were left handed. Appr

diamong [38]

Answer:

<h2>9.7 % </h2>

Step-by-step explanation:

estimated world population in 2011 = 7x10⁹

left handed = 682,000,000

find:

Approximately what percentage of the world population is left handed according to the 2011 estimation

percentage = <u>left handed population </u>

total population

= <u> 682,000,000 </u>

7,000,000,000

= <u> 0.682 </u>

7.0

= 9.7 %

3 0

3 years ago