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arsen [322]
3 years ago
6

A rock is thrown and follows the curve given by the equation d = -t2 + 4t + 5, where d is the distance in feet and t is the time

in seconds. When will the rock hit the ground? 9 seconds 5 seconds 2 seconds 1 second

Mathematics
1 answer:
GaryK [48]3 years ago
8 0

Answer:

5 seconds

Step-by-step explanation:

The relationship between "d" and "the ground" is not described. If we assume that "d" is distance above the ground, then the rock will hit the ground when d=0. This gives rise to the quadratic equation ...

-t^2 +4t +5 = 0

-(t -5)(t +1) = 0

t = 5 or t = -1 are solutions. Only the positive solution is useful.

The rock will hit the ground after 5 seconds.

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7 0
3 years ago
Read 2 more answers
Kanesha wants to find out if people in her community would support turning an unused park into a dog park. Which populations wou
inysia [295]

The most likely populations that Kanesha can pick an appropriate sample for the survey is: <u><em>people who live near the unused park.</em></u>

When running a survey, it is important to use a sample that represents the target population that can sufficiently provide answers to the questions you seek to ask.

Using the a sample from the right population will give you enough data to carryout a survey. The people living close to the unused park would definitely be affected by whatever establishment that is done in the unused park.

Therefore, the most likely populations that Kanesha can pick an appropriate sample for the survey is: <u><em>people who live near the unused park.</em></u>

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7 0
2 years ago
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If ab= 7x-6 and bc= 12-2x. Then what does ac equal?
ra1l [238]
Ab = (7x-6) →   b = (7x-6)/a   (1)

bc = (12-2x) → b = (12-2x)/c   (2)

Since (1) = (2) → (7x-6)/a = (12-2x)/c OR  a/c = (7x-6)/(12-2x)  (3)

Multiply  both numerators of (3) by the SQUARE of their  respective denominators;

(a*c²)/c = (7x-6)(12-2x)²/(12-2x)
Now simplify:

ac = (7x-6)(12x-2x)  or ac = -14x² + 96x - 72


4 0
3 years ago
Lucy drinks 5 cups of coffee. Doctor said to cut down by 75%. How many ounces of coffee is she allowed per day?
UkoKoshka [18]
The answer is Lucy should be allowed to drink 1.25 ounces a day.
3 0
3 years ago
Milk and cream are mixed together for a recipe. The total volume of the mixture is 1 cup. If the milk contains 2% fat, the cream
inessss [21]

Answer: 1/4

Step-by-step explanation:

Let the volume of mixture (6%fat) in cup is 100cc

x cc be the volume of cream (18% fat) in the mixture.

∴

(100−x) cc be the volume of milk (2% fat) in the mixture.

x * 0.18+(100−x) * 0.02=100

⋅0.06 or 0.18x − 0.02x = 6−2 or 0.16x

= 4 or x=25 cc = 25%

7 0
3 years ago
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