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yKpoI14uk [10]
2 years ago
13

The size of the tank a fish collector needs depends on how many fish he has. Which in the independent variable

Mathematics
1 answer:
Semenov [28]2 years ago
3 0

Answer:

Step-by-step explanation:

"<u><em>The size of the tank</em></u> a fish collector needs <u><em>depends</em></u> on <em>how many fish he has</em>."

Dependent variable is the size of the tank.

<em>Independent variable</em> is how many fish a fish collector has.

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g100num [7]
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4 0
2 years ago
For the function f(x) = 7/2x-16, what is the difference quotient for all nonzero values of h?
sergey [27]

Answer:

\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}

Step-by-step explanation:

Given

f(x) = \frac{7}{2}x - 16

Required

The difference quotient for h

The difference quotient is calculated as:

\frac{f(x + h) - f(x)}{ h}

Calculate f(x + h)

f(x) = \frac{7}{2}x - 16

f(x+h) = \frac{7}{2}(x+h) - 16

f(x+h) = \frac{7}{2}x+ \frac{7}{2}h- 16

The numerator of \frac{f(x + h) - f(x)}{ h} is:

f(x + h) - f(x) =  \frac{7}{2}x+ \frac{7}{2}h- 16 -(\frac{7}{2}x - 16)

f(x + h) - f(x) =  \frac{7}{2}x+ \frac{7}{2}h- 16 -\frac{7}{2}x + 16

Collect like terms

f(x + h) - f(x) =  \frac{7}{2}x  -\frac{7}{2}x + \frac{7}{2}h- 16 + 16

f(x + h) - f(x) = \frac{7}{2}h

So, we have:

\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}h \div h

Rewrite as:

\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}h * \frac{1}{h}

\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}

5 0
2 years ago
In one type of state lottery 5 distinct numbers are picked from 1,2,3,...,40 uniformly at random.
belka [17]

Answer: a) 1 / ⁴⁰C₅ b)  0.33

Step-by-step explanation:

a) The sample space consists of all numbers 1-40.

Since any of the number can be taken from the sample space  so each of five 5 distinct numbers we take has equal probability of occurring. So probability of each 5 numbers set we take will be equal to 1 / ⁴⁰C₅

b)

If we pick exactly 3 even number then that means other 2 will be odd.

So, we have sample space of 40 numbers out of which 20 are even and 20 are odd.

Now we have to pick 3 even out of 20 and 2 odd out of 20.

Probability = ²⁰C₃ * ²⁰C₂ / ⁴⁰C₅

Probability= 0.33

4 0
3 years ago
C=30m+50 and c=20m+100<br> solve for m pls help
Sholpan [36]

Answer:

m=5

Step-by-step explanation:

c=30m+50

c=20m+100

substitute

20m+100=30m+50

like terms

100-50=30m-20m

50=10m

m=5

6 0
3 years ago
Read 2 more answers
- The width of a swimming pool is one third of its length. The width of the pool is 15 feet. What is the length of the
disa [49]

Answer: 45ft.

Step-by-step explanation:

Let assigned the value of x to the unknown lenght.

Therefore, the Length = xft

The with is 1/3 of the length and this. = 15ft.

Now , to get the length, we equate both together and then solve for x .

1/3 of x = 15

x/3 = 15

To get x, we multiply both side by 3

x = 45ft

The of the pool = 45ft.

7 0
3 years ago
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