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Arada [10]
3 years ago
15

Help and explain please and ty <3333

Mathematics
1 answer:
Anni [7]3 years ago
6 0

Answer:

A. 693

Step-by-step explanation:

The question is asking you to input 7 into both functions and then multiply them together.

First insert 7 into f(x) = 7 + 2x,   7 times 2 is 14, plus 7 = 21

do the same with g(x) = 5x - 2,   5 times 7 is 35, minus 2 = 33

fg(7) is saying to multiply fg together as a variable next to another variable does. leaving the answer as 693.  

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Please help me out, thank u so much!
Sav [38]

Answer:

C

Step-by-step explanation:

Inverse function's domain and range flip when comparing them to their original function

8 0
2 years ago
Suppose there are two lakes located on a stream. Clean water flows into the first lake, then the water from the first lake flows
never [62]

Answer:

a.  For the first lake;

c = (m·t - 0.005·m·t²)/100000

For the second tank, we have;

c = m·t/200 - m·t²/80000

b. t ≈ 1.00505 hours

c. 200 hours

Step-by-step explanation:

The flow rate of water in and out of the lakes = 500 liters/hour

The volume of water in the first lake = 100 thousand liters

The volume of water in the second lake = 200 thousand liters

The mass of toxic substances that entered into the first lake =  500 kg

The concentration of toxic substance in the first lake = m₁/(100000)

Therefore, we have;

The quantity of fresh water supplied at t hours = 500 × t

The change

The change in the mass of the toxic substance with time is given as follows

dm/dt = (m - m/100000 × 500 × t)/100000

c = (m·t - 0.005·m·t²)/100000

For the second tank, we have;

c = m/100000 × 500 × t - (m/100000 × 500 × t)/200000 × 500 × t

Using an online tool, we have;

c = m·t/200 - m·t²/80000

b. When c < 0.001 kg per liter, we have m < 0.001 × 100000, which gives m < 100

Substituting gives;

0.001 = (100·t - 0.005·100·t²)/100000, solving with an online tool, gives;

t ≈ 1.00505 hours

c. For maximum concentration, we have;

c = m·t/200 - m·t²/80000

m/200000 = m·t/200 - m·t²/80000

1/200000 = t/200 - t²/80000

dc/dt = d(t/200 - t²/80000)/dt = 0

Solving with an online tool gives t = 200 hours

6 0
2 years ago
4 cups of pure water are added to a 20 cup bowl a punch
mojhsa [17]
Um that would be 24 cups 
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3 years ago
Read 2 more answers
Which is greater 11/2 or 4\8
Nikitich [7]
11/2 is greater than 4/8
11/2=5.5
4/8=1/2=0.5
8 0
2 years ago
Read 2 more answers
Help please about this math work
MariettaO [177]

There is a 46% chance of a female patient having type-O blood

8 0
2 years ago
Read 2 more answers
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