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Inessa05 [86]
3 years ago
15

For the water balloon fight, your mom filled up one hundred balloons with 5 gallons of water. How many ounces of water did she u

se?​
Mathematics
1 answer:
Lina20 [59]3 years ago
6 0

Answer: 20

Step-by-step explanation:

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A ball is thrown in the air from a height of 3 m with an initial velocity of 12 m/s. To the nearest tenth of a second, how long
stepladder [879]

Answer:  1.4 seconds

<u>Step-by-step explanation:</u>

The equation is: h(t) = at² + v₀t + h₀          where

  • a is the acceleration (in this case it is gravity)
  • v₀ is the initial velocity
  • h₀ is the initial height

Given:  

  • a = -9.81 (if it wasn't given in your textbook, you can look it up)
  • v₀ = 12
  • h₀ = 3

Since we are trying to find out when it lands on the ground, h(t) = 0

EQUATION:   0 = 9.81t² + 12t + 3

Use the quadratic equation to find the x-intercepts

                        a=-9.81, b=12, c=3

x=\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-(12)\pm \sqrt{(12)^2-4(-9.81)(3)}}{2(-9.81)}\\\\\\x=\dfrac{-12\pm 16.2}{-19.62}\\\\\\x=\dfrac{-12+ 16.2}{-19.62}=-0.2\qquad x=\dfrac{-12- 16.2}{-19.62}=\large\boxed{1.4}\\

Note: Negative time (-0.2) is not valid

4 0
3 years ago
IHELP if 1 out of 5 animals are cats then how many cats are there in an ecosystem of 200 animals???​
mote1985 [20]
There are 40 cats in the ecosystem.

You set 1/5 equal to x/200. Then you cross multiply the fractions to get 5x=200. You divide both terms by 5 to get x, which equals 40.

3 0
4 years ago
To help divide a group into 4 teams, the teacher brought out a bag with equal numbers of 4 different colored popsicle sticks (gr
NeX [460]
The set of all possible events Ω

Ω = 24 ( 4*7 = 28 stick)

<span>set of events favorable A
A = 7 ( </span><span>sticks of green is 7)

</span><span>Probability P
P(A) = A/</span>Ω = 7/28 = 1/4 = 0,25

Answer A
<span>The first person has the ability to draw seven green sticks of twenty-four </span>
3 0
3 years ago
A survey of 46 college athletes found that 24 played volleyball, while 22 played basketball. a) If we pick one athlete survey pa
PSYCHO15rus [73]

Answer:

A) \dfrac{11}{23}

B) \dfrac{88}{345}

Step-by-step explanation:

A survey of 46 college athletes found that

  • 24 played volleyball,
  • 22 played basketball.

A) If we pick one athlete survey participant at random,  the probability they play basketball is

P_1=\dfrac{22}{46}=\dfrac{11}{23}

B) If we pick 2 athletes at random (without replacement),

  • the probability we get one volleyball player is \dfrac{24}{46}=\dfrac{12}{23};
  • the probability we get another basketball player is \dfrac{22}{45} (only 45 athletes left).

Thus, the probability we get one volleyball player and one basketball player is

P_2=\dfrac{12}{23}\cdot \dfrac{22}{45}=\dfrac{88}{345}

5 0
4 years ago
a piece of fossilized tree trunk is possibly 4000 years old. The sample contains 65% of the original amount of carbon-14. Is the
Fiesta28 [93]

Answer:

  no

Step-by-step explanation:

Let f represent the fraction of C-14 remaining as a function of the time t in years. Since the half-life of C-14 is about 5570 years, we have ...

  f = (1/2)^(t/5570)

Taking the log and solving for t, we get ...

  log(f) = (t/5570)log(1/2)

  5570·log(f)/log(1/2) = t

Filling in the given value for f, the value of t we get is ...

  5570·log(0.65)/log(0.5) = t ≈ 3462

It appears the estimate of 4000 years is a bit high.

4 0
3 years ago
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