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3 years ago

9

Brennan made lemonade for the county fair. He has 12 Containers of the same size to fill. It takes 16 gallons of lemonade to fil

l the first 3. How many gallons of lemonade will the remaining 9 containers hold?

1 answer:

murzikaleks [220]3 years ago

4 0

Answer: 48 gallons of lemonade

Step-by-step explanation:

9/3 = 3

3*16 = 48

or

16/ 3 = 5.3̅3̅

5.3̅3̅ * 9 = 48

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A rocket is fired with an initial vertical velocity of 40 m/s from a launch pad 45 m high, and its height is given by the formul

N76 [4]

Answer:

1) 125 meters

2) For 9 seconds.

Step-by-step explanation:

The rocket's height is given by the formula $-5t^2+40t+45$ .

Notice that this is a quadratic.

Part 1)

Since this is a quadratic, the highest height the rocket goes will be the vertex of our quadratic. Remember that the vertex of a quadratic in standard form is:

$(-\frac{b}{2a}, f(-\frac{b}{2a}))$

So, let's identify our coefficients. The standard quadratic form is:

$ax^2+bx+c$

Therefore, in this case, our a is -5, b is 40, and c is 45.

So, let's find the x-coordinate of our vertex. Substitute 40 for b and -5 for a. This yields:

$x=\frac{-(40)}{2(-5)}$

Multiply and reduce. So:

$x=-40/-10=4$

Now, substitute 4 for t to find the height. So:

$-5(4)^2+40(4)+45$

Evaluate:

$=-5(16)+40(4)+45$

Multiply and add:

$=-80+160+45=125\text{ meters}$

Therefore, the highest the rocket goes up is 125 meters.

Part 2)

To find out for how much time the rocket is in the air, we can think about after how many seconds after launch will the rocket land.

If the rocket lands, the height h will be 0. So, we can set our expression equal to 0 and solve for t:

$-5t^2+40t+45=0$

First, let's divide everything by -5. This yields:

$t^2-8t-9=0$

We can factor:

$(t+1)(t-9)=0$

Zero Product Property:

$t+1=0\text{ or } t-9=0$

Solve for t:

$t=-1\text{ or } t=9$

In this case, since t is our time in seconds, -1 seconds does not make sense. So, we can remove -1 from our solution set.

Therefore, 9 seconds after launch, the rocket will touch the ground.

Therefore, the rocket was in the air for 9 seconds.

And we're done!

6 0

3 years ago

Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 68 miles per hour, with a standard

Vladimir79 [104]

About 99.7% of vehicles whose speeds are between 59 miles per hour and 77 miles per hour.

Empirical rule states that for a normal distribution, 68% lie within one standard deviations, 95% lie within two standard deviations, and 99.7% lie within three standard deviations of the mean.

Given that mean (μ) = 68 miles per hour, standard deviation (σ) = 3 miles per hour.

68% lie within one standard deviation = (μ ± σ) = (68 ± 3) = (65, 71).

Hence 68% of the vehicle speed is between 65 miles per hour and 71 miles per hour.

95% lie within two standard deviation = (μ ± 2σ) = (68 ± 2*3) = (62, 74).

Hence 95% of the vehicle speed is between 62 miles per hour and 74 miles per hour.

99.7% lie within three standard deviation = (μ ± 3σ) = (68 ± 3*3) = (59, 77).

Hence 99.7% of the vehicle speed is between 59 miles per hour and 77 miles per hour.

Find out more at: brainly.com/question/14468516

3 0

3 years ago

Read 2 more answers

Find a fraction or mixed number that is between the two numbers -3/4 -1/3

Mandarinka [93]

Hey there!

-3/4 - 1/3

= -3/4 + (-1/3)

≈ -9/12 - 4/12

= -9 - 4 / 12 - 0

≈ -9 - 4 / 12

= -13 / 12

≈ -1 1/12

Therefore, your answer is/

-13/12 or -1 1/12

EITHER OF THOSE SHOULD BE CORRECT BECAUSE THEY ARE EQUIVALENT OR THE SAME THING.

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

6 0

2 years ago

Help please I don’t understand this

disa [49]

I think the Answer: A’ = (2,2)

3 0

3 years ago

you purchase 2,4 meters of nylon cord to make 8 friends ship bracelets. how many centimeters are in each

mote1985 [20]

Answer:100

Step-by-step explanation:

there are 100 centimeters in a meter, if you bought 8 meters and made 8 bracelets, that would mean each bracelet had 100 centimeters.

6 0

3 years ago