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julsineya [31]
2 years ago
8

At the beginning of an experiment, there are 400 grams of contaminants. Each hour, three-fourths of the contaminants are filtere

d out.
A. Formulate a recursive sequence modeling the number of grams after "n" hours.

B. Use the model to calculate the amount of contaminants after the third hour of the experiment.
Mathematics
1 answer:
WITCHER [35]2 years ago
7 0
<span>a(n) = 0.75*a(n-1)
</span><span>Ans: 400 ; (3/4)400 = 300 ; (3/4)300 = 900/4 ; (3/4)900/4 = 2700/16 = 168.75g's</span>
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13) Your parents give you a weekly allowance
Tamiku [17]

Answer:

look it up

Step-by-step explanation:

6 0
3 years ago
The 12th term of a sequence is 41 and the 15th term is 140. What is the nth term?
OLga [1]
An= mth term.
an=a₁+(n-1)*d

a₁₂=41
a₁₅=140

a₁₂=41
41=a₁+(12-1)*d
41=a₁+11d 
a₁+11d=41    (1)

a₁₅=140
140=a₁+(15-1)*d
140=a₁+14d 
a₁+14d=140    (2)

With the equiations (1) and (2)  build a system of equations
a₁+11d=41
a₁+14d=140

we solve it.
-(a₁+11d=41)
  a₁+14d=140
--------------------
       3d=99  ⇒d=99/3=33

a₁+11d=41
a₁+(11*33)=41
a₁+363=41
a₁=41-363=-322

an=a₁+(n-1)*d
an=-322+(n-1)*33
an=-322+33n-33
an=-355+33n

an=-355+33n

To check:
a₁₂=-355+33*12=-355+396=41
a₁₅=-355+33*15=-355+495=140.
3 0
3 years ago
.The Tlingit hunted seals in which culture region?
MrRa [10]
C. Pacific Northwest
4 0
2 years ago
K anyone help please
tigry1 [53]

Answer:

Step-by-step explanation:

Given equation is,

a). y = \frac{6}{x}

x        0.5                1            2            3            4              5             6

y       \frac{6}{0.5}=12      \frac{6}{1}=6      \frac{6}{2}=3      \frac{6}{3}=2     \frac{6}{4}=1.5     \frac{6}{5}=1.2     \frac{6}{6}=1

b). By plotting the input-output values on the graph we get the curve as shown in option C.

Therefore, Option C will be the answer.

7 0
3 years ago
What is four and half minus two three fourths?
Lady bird [3.3K]

Answer:

1\frac{3}{4}

Step-by-step explanation:

4\frac{1}{2} -2\frac{3}{4}

The way you want to do this is to make all the numbers into a fraction. You do that by multiplying the whole number by the denominator, or the bottom of the fraction, then adding that to the numerator, or the top of the fraction.

So, 4\frac{1}{2} becomes \frac{9}{2}, and 2\frac{3}{4} becomes \frac{11}{4}.

Then, you find the least common denominator. The least common denominator (LCD) is the smallest number that can be a common denominator for a set of fractions. In our case, that would be 4, since 2 can multiply into 4.

So, \frac{9}{2} is multiplied by 2, and becomes \frac{18}{4}. \frac{11}{4} stays the same.

And finally, you subtract. When subtracting or adding fractions, you leave the denominator alone, and only work with the top number.

So, \frac{18}{4}-\frac{11}{4}, which equals \frac{7}{4}.

Now, you could technically stop there. However, most teachers ask that you put it back into whole number form. To do that, divide the numerator by the denominator, and whatever remains goes back into the fraction.

So, \frac{7}{4}=1\frac{3}{4}

That's your answer! Hope this helps.

8 0
3 years ago
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