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abruzzese [7]
3 years ago
6

Write a function that gives the remaining amount of containments in kilograms, C(t), t hours after Nana started purifying the wa

ter
Mathematics
1 answer:
Nastasia [14]3 years ago
4 0

Answer:

C(t)= \frac{1}{2} kg (2/3) ^ t

Step-by-step explanation:

Original Question:

  • Nana has a water purifier that filters 1/3 of the contaminants each hour. She used it to purify water that had 1/2 kilogram of contaminants. Write a function that gives the remaining amount of contaminants in kilograms, C(t), t hours after Nana started purifying the water.

Explanation:

  • Each hour, the water purifier filters 1/3 of the contaminants, meaning that the contaminant reduces by 2/3. If the contaminant was 1kg (for example), the mass would be 2/3 kg after 1 hour- after 2 hours, it'll be 4/9 kg, so we see a pattern. We need to multiply the contaminant by 2/3 every single hour.
  • C(t)= \frac{1}{2} kg (2/3) ^ t
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If you toss a coin 4 times what is the probability of getting all heads
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What is the probability that you will get exactly zero heads? What is the probability that you will get exactly one head? What is the probability that you will get exactly 4 head? If it helps, there are <span><span><span><span>2 to the </span><span>4th power... </span></span> </span><span>24</span></span> possibilities for the sequence of four flips. Try writing them all out and see if you can spot a pattern.
3 0
3 years ago
A farmer estimated that there were 25 gallons of water left in a tank. If this is an underestimate by 16%, how much water was ac
djyliett [7]

Answer:

The actual water in the tank is 29.76 gallons.

Step-by-step explanation:

It is given that the farmer estimated amount of water is 25 gallons.

It is also given that he underestimate the water in tank by 16%.

Let the actual water in tank be x.

(1-\frac{16}{100})x=25

(\frac{100-16}{100})x=25

84x=25\times 100

x=\frac{2500}{84}

x=29.7619

x\approx 29.76

Therefore the actual water in the tank is 29.76 gallons.

8 0
3 years ago
Freeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
REY [17]

Answer:

thanks!

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Set up a linear system and solve.
liubo4ka [24]

Answer:

The two integers are 23 and 12

Step-by-step explanation:

Let the two integers be f and g

Let f be the biggest and g the smallest integer

From the first statement, the sum of the two integers is 35 i.e

f + g = 35. (1)

From second statement, we were told that when the smaller integer is subtracted from twice the larger, the result is 34 i.e

2f — g = 34. (2)

Now we'll solve by elimination method as follows:

Add equation (2) and (1) together:

2f — g = 34

+ f + g = 35

3f = 69

Divide both side by the coefficient of f i.e 3

f = 69/3

f = 23

Substituting the value of f into equation(1)

f + g = 35

23 + g = 35

Collect like terms

g = 35 — 23

g = 12

The two integers are 23 and 12

4 0
3 years ago
The length of a rectangular fenced enclosure is 12 feet more than the width. If Farmer Dan has 100 feet of fencing, write an ine
Kitty [74]
Answer:
length = 31 ft
width = 19 ft

Explanation:
Assume that the width of the rectangle is w.
We are given that the length is 12 ft more than the width. This means that the length of the rectangle is w + 12

The perimeter of the rectangle in this case would be:
perimeter = 2 (length + width)
perimeter = 2 (12 + w + w)
perimeter = 24 + 4w

Assume that Dan would use all 100 ft of fencing to surround the yard. This would mean that the largest perimeter is 100 ft.

Therefore:
perimeter = 24 + 4w
100 = 24 + 4w
4w = 100 - 24
4w = 76
w = 19 ft

Since we have calculated that the width of the yard is 19 ft, we can substitute to get the length as follows:
length = 12 + w
length = 12 + 19
length = 31 ft

Hope this helps :)
7 0
3 years ago
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