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Taya2010 [7]
2 years ago
14

Determine the domain and range in the function, f(x)=abx f(x)=ab^x , when a =1/4 and b=16.

Mathematics
1 answer:
Crank2 years ago
4 0
The domain is infinite and the range is 0 (possibly infinite as well).
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A scientist needs 4.8 liters of a 12% alcohol solution. She has available a 22% and a 10% solution. How many liters of the 22% a
yanalaym [24]

Answer:

  • 4.0 L of 10%
  • 0.8 L of 22%

Step-by-step explanation:

For mixture problems, it is convenient to define a variable to represent the amount of the greatest contributor. Let x represent the amount of 22% solution in the mix. Then 4.8-x is the amount of 10% solution.

The amount of alcohol in the mix is ...

  0.22x +0.10(4.8-x) = 0.12(4.8)

Eliminating parentheses, we have ...

  0.22x -0.10x +0.10(4.8) = 0.12(4.8)

Subtracting (0.10)(4.8) and combining x-terms gives ...

  0.12x = 0.02(4.8)

  x = (0.02/0.12)(4.8) = 0.8 . . . . . divide by the x-coefficient

The scientist needs 0.8 L of 22% solution and 4.0 L of 10% solution.

5 0
3 years ago
Determine whether the vectors u and v are parallel, orthogonal, or neither. u = <6, -2>, v = <8, 24>
ratelena [41]
We'll check if they're orthogonal:
u*v=0
(6,-2)*(8,24)=0
6*8+(-2)*24=0
48-48=0
0=0
they are orthogonal vectors
4 0
3 years ago
Does anyone know if this is correct or how to do this? (part a,b, and c)
stepladder [879]

 Part A you would use 200-L ( since you have 400 feet total 200 feet would equal length plus width)

Part B 200 - 80 = 120

Part C 200-90 = 110

area = 90 x 110 = 9900 square feet

5 0
3 years ago
ANSWER PLZ FOR ME PLZ
UkoKoshka [18]

The answer to this is 1.

8 0
3 years ago
Read 2 more answers
Convert 65,000,000 to scientific notation.
uranmaximum [27]
6.5x10^7
count the decimal places over, with the first being zero
7 0
3 years ago
Read 2 more answers
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