The missing number in the series 9, ____, 6561, 43046721 is:

Answers

Answer 1
Answer: Hello,

The sequence is:

3²,x,3^8,3^16

==>x=3^4=81


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A nurse mixes 50 cc of a 60% saline solution with a 10% saline solution to produce a 20% saline solution. How much of the 10% solution should he use?

Answers

Answer:

The nurse should use 200cc of the 10% saline solution in order to produce a 20% saline solution.

Step-by-step explanation:

to the given mix we add a quantity of a lower mix to generate another.

50cc at 60% + Xcc at 10% = (50 + X)cc at 20%

50 x 60% + X x 10% = (50 + X) x 20%

30 + 0.1X = 10 + 0.2X

30 - 10 = 0.2X - 0.1X

20 = 0.1X

20/0.1 = X

X = 200

Final answer:

To produce a 20% saline solution, the nurse should use 200 cc of the 10% saline solution.

Explanation:

To find out how much of the 10% saline solution the nurse should use, we can set up an equation using the idea that the amount of saline in the mixture is equal to the sum of the amounts of saline in each solution.

Let's say the nurse uses x cc of the 10% saline solution. The amount of saline in the 60% saline solution will be 0.6 * 50 cc = 30 cc. The amount of saline in the 10% saline solution will be 0.1 * x cc = 0.1x cc.

Since the resulting solution is 20% saline, the total amount of saline in the mixture will be 0.2 * (50 + x) cc. Setting up the equation, we have 30 + 0.1x = 0.2 * (50 + x).

Simplifying the equation, we get 30 + 0.1x = 10 + 0.2x. Solving for x, we find that x = 200 cc.

Learn more about the Saline solution here:

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Three yrs ago Reagan was three times as old as Sarah and half as old as Lauren. Three yrs from now, Reagan will be twice as old as Sarah.  How old are they now?

Answers

Reagan (R)
Sara (S)
Lauren (L)

R-3 (Reagan's age 3 years ago...)
we have 3 equations with 3 variables:

R-3 = 3 * (S-3) -> R -3 = 3S - 9 -> R = 3S -6
R-3 = (L-3) / 2 -> 2R -6 = L - 3 -> L = 2R -3
R+3 = 2 * (S+3) -> R +3 = 2S + 6 -> R = 2S +3

3S - 6 = 2S + 3 -> S = 9
R = 2 * 9 +3 = 21
L = 2 * 21 -3 = 39

Reagan is 21
Sara is 9
Lauren is 39

3 years ago - Reagan was 18 - 3 X Sara who was 6
3 years from now - Reagan will be 24 - 2 X Sara who will be 12

Inverse operations 15x+8=6

Answers

Answer:

1 step. multiplayer with 8 and find their sum the difference between the temperature recorded on llllll

If f(x) = x - 2, what is f(-1)? ​

Answers

Step-by-step explanation:

f(x) = x - 2

f(-1) = -1 -2

= -3

The diameter of the Starbucks venti(large) lid is 3.3 inches. The tall(small) gas a diameter of 2.6 inches. What is the difference in the circumference of the two cups?

Answers

Answer:

  0.7π ≈ 2.2 inches

Step-by-step explanation:

The circumference is computed from ...

  C =  πd

Then the difference in circumferences for two different diameters is ...

  C_2-C_1=\pi d_2-\pi d_1 = \pi(d_2-d_1)\n\n=\pi(3.3-2.6)=0.7\pi \quad\text{inches}

  0.7π ≈ 2.2

The difference in circumference of the two lids is about 2.2 inches.

Is it ever possible for the domain and range in a function to have different numbers of entries (for example, 3 domain entries to 5 range entries, or 2 range entries to 7 domain entries)? What happens when this is the case?

Answers

No , & More Than Likely If It Is To Happen It's Because The Domain Entry Repeated A Number Mulitiple Times

Final answer:

The number of entries in the domain and range of a function can be different. Some inputs in the domain may have the same output in the range, or some outputs in the range may have no corresponding inputs in the domain.

Explanation:

In a function, the number of entries in the domain and range can be different. This happens when there are multiple inputs that map to the same output or when there are outputs with no corresponding inputs.

For example, consider the function f(x) = x^2. The domain can be any real number, but the range is only non-negative real numbers (including zero). So, there are more entries in the domain than in the range.

When this is the case, it means that some inputs in the domain have the same output in the range, or some outputs in the range have no corresponding inputs in the domain.

Learn more about Domain and Range here:

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