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Scorpion4ik [409]
3 years ago
15

Find the value of x if (1.1)^x=100​

Mathematics
1 answer:
iragen [17]3 years ago
6 0

Answer:

  x ≈ 48.3177

Step-by-step explanation:

This is what logarithms are for (among other things).

  log(1.1^x) = log(100)

  x·log(1.1) = 2

  x = 2/log(1.1) ≈ 48.3177

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Answer:

x= -11.9

Step-by-step explanation:

-8 - 3.9 = -11.9

-11.9+ 3.9 = -8

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Step-by-step explanation:

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2 years ago
If you shift the quadratic parent function, f(x)=x2 , right 10 units, what is the equation of the new function?
tiny-mole [99]

Answer:

Step-by-step explanation:

The standard form of a quadratic is

y=a(x-h)^2+k where h is side to side movement (it's also the x coordinate of the vertex) and k is the up or down movement (it's also the y coordinate of the vertex). If there is no up or down movement, the k value is 0. (We don't need to worry about the value for a here; it's 1 but that doesn't change anything for us in our problem). Movement to the right is positive, so we are moving +10. Filling that into our equation:

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3 years ago
Power is _____.
Viefleur [7K]

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This is a bit confusing?
kow [346]

9514 1404 393

Answer:

  • Noah: 3 cups
  • Lin: 4 cups

Step-by-step explanation:

When the 12-cup bag of sugar is divided evenly, each baker gets 6 cups.

There is no dot on Noah"s graph for 6 cups of sugar, so you have to extrapolate the given set of dots to see where it might be. You notice that each dot is 1/2 cup of flour more than the one to its left, so you expect that Noah will use 3 cups of flour for 6 cups of sugar.

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Similarly, the table for Lin does not have an entry for 6 cups of sugar. Again, the next entry can be figured using the relations between previous entries. Here, each row for sugar goes up by 1 1/2 cups, so the next row would be 4 1/2 + 1 1/2 = 6 cups. And the rows for flour go up by 1 cup, so the next row for flour (for 6 cups of sugar) would be 4 cups of flour.

Lin will use 4 cups of flour for 6 cups of sugar.

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<em>Alternate solution</em>

The relationship are proportional in both cases, so you can read the value for a smaller amount (2 cups or 3 cups of sugar), then multiply the value by an appropriate multiplier (3 or 2) to get the number of cups of flour for 6 cups of sugar.

Noah: 1 flour for 2 sugar ⇒ 3 flour for 6 sugar

Lin: 2 flour for 3 sugar ⇒ 4 flour for 6 sugar

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