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frosja888 [35]
3 years ago
15

An object dropped from a height of 600 feet has a height, h(t), in feet after t seconds have elapsed, such that h(t) = 600 − 16t

2 . Express t as a function of height h, and find the time to reach a height of 400 feet.
Mathematics
2 answers:
Anni [7]3 years ago
5 0

given h = 600 - 16t ( add 16t to both sides )

16t + h = 600 ( subtract h from both sides )

16t = 600 - h ( divide both sides by 16 )

t = \frac{600-h}{16}

when h = 400

t = \frac{600-400}{16} = \frac{200}{16} = 12.5 seconds


Goshia [24]3 years ago
5 0

Answer:

The required time is 3.54 seconds approximately or \frac{5}{2}\sqrt{2} seconds.

Step-by-step explanation:

Consider the provided function.

h(t) = 600-16t^2

Where t represents the time in seconds and h represents the height.

It is given that we need to find the time to reach a height of 400 feet.

Substitute h(t)=400 in the above function.

400= 600-16t^2

400- 600=-16t^2

-200=-16t^2

200=16t^2

\frac{50}{4}=t^2

t=\sqrt{\frac{50}{4}} \\t=\frac{5}{2}\sqrt{2}

Neglect the negative value as time should be a positive number.

Or

t\approx 3.54

Hence, the required time is 3.54 seconds approximately.

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posledela

Answer:

The bakery will bake 600 butterscotch bread, 550 chocolate bread, and 1,000 coconut bread

Step-by-step explanation:

In order to answer the word problem question, we list the parameters as follows;

The number of bread types the bakery takes = 3 types of bread

The monthly cost of the bakery for baking the bread, C = RM 6,850

The number of bread loaves baked = 2,150

The cost of baking a loaf of butterscotch bread = Rm 2

The cost of baking a loaf of chocolate bread = Rm 3

The cost of baking a loaf of coconut bread = Rm 4

The sale price of a butterscotch bread = Rm 3

The sale price of a chocolate bread = Rm 4.50

The sale price of a coconut bread = Rm 5

The amount of monthly profit the bakery makes, P = Rm 2,975

Therefore, the total revenue of the company, R = C + P

∴ R = Rm 6,850 + Rm 2,975 = Rm 9,825

Let 'x', 'y', and 'z', represent the number of loaves of butterscotch, chocolate, and coconut bread the company bakes respectively

Then we get;

x + y + z = 2,150...(1)

2·x + 3·y + 4·z = 6,850...(2)

3·x + 4.5·y + 5·z = 9,825...(3)

Multiplying equation (1) by 2 and subtracting from equation (2) gives;

2·x + 3·y + 4·z - 2×(x + y + z) = 6,850 - 2 × 2,150 = 2,550

2·x - 2·x + 3·y - 2·y + 4·z - 2·z = 2,550

∴ y + 2·z = 2,550...(4)

Adding equation (1) to (2) and subtracting from (3) gives;

3·x - 3·x + 4.5·y - 4·y + 5·z - 5·z = 9,825 - (6,850 + 2,150) = 825

1.5·y = 825

y = 825/1.5 = 550

The number of loaves of chocolate bread baked, y = 550

From equation (4), we get;

550 + 2·z = 2,550

2·z = 2,550 - 550 = 2,000

z = 2,000/2 = 1,000

The number of loaves of coconut bread baked, z = 1,000

∴ From equation (1) x = 2,150 - (550 + 1,000) = 600

The number of loaves of butterscotch bread baked, x = 600.

3 0
2 years ago
Write <br> 0.925<br><br> as a fraction in simplest form.
Sliva [168]

Answer: 37/40

Step-by-step explanation: 0.925 = 925/1000

= 925/1000

= 185/200

= 37/40

Hope it helped u,

pls mark as the brainliest

^_^

8 0
2 years ago
The circle below has a radius of 3 units . Find the area of the circle. Use 3.14 for π.
const2013 [10]

Answer:

28.26 units

Step-by-step explanation:

We know the radius of the circle is 3 units, so we'll end up plugging that into the formula.

A = π(3^2) or A = π * 3 * 3

When you substitute pi for 3.14, you'll end up getting 28.26 units.

Hope this helped! :)

6 0
2 years ago
A bag of marbles contains 3 blue, 4 green, and 3 red marbles. If you take out 2 marbles, what is the probability that they are b
tangare [24]
4/10. *. 3/9. = 12/90 = 2/15
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aleksandr82 [10.1K]

Answer:

B. 95% confident the average concentration of PCBs in the water supply is between 2.9 ppb and 3.5 ppb

Step-by-step explanation:

You are given the total number of samples, the concentration of lead, and the standard deviation. The standard deviation represents how inaccurate the estimation of the concentration of lead in the drinking water. This means that there can only possibly be a 0.3 ppb error in the estimation. 3.2-0.3=2.9, and 3.2+0.3=3.5

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2 years ago
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