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3 years ago

A number has the digit 2,5,and4. To the nearest 100, the number rounds to 200. What is the number?

Mathematics

2 answers:

Masteriza [31]3 years ago

6 0

254 is your answer because you don't want to put the 5 at the end because the you round to 260

marusya05 [52]3 years ago

3 0

To start off we need to recognize that the number rounds to 200. This means that we need to choose the closest thing to 200, which would be the 2.

Now we know that the 2 goes in the hundreds place, there is only 2 digits left, 5, and 4. Now you can't put a 5 in the tens place because then it would round it up to 300 ( Anything greater than or equal to 5 gets rounded up) So that means that the 4 has to go in the tens place and the 5 in the ones place.

The final number ends up being:

245

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Read 2 more answers

A quantity P is an exponential function of time I, such that P = 160 when t = 6 and P = 150 when I = 4. Use the given informatio

Klio2033 [76]

Answer:

k = 0.032
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Step-by-step explanation:

Perhaps you want to use the points (t, P) = (4, 150) and (6, 160) to find the parameters P0 and k in the equation ...

$P(t)=P_0\cdot e^{kt}$

We know from the given points that we can write the equation as ...

$P(t)=150\left(\dfrac{160}{150}\right)^{(t-4)/(6-4)}=150\left(\dfrac{16}{15}\right)^{\frac{t}{2}-2}\\\\=150\left(\dfrac{16}{15}\right)^{-2}\times\left(\left(\dfrac{16}{15}\right)^{\frac{1}{2}}\right)^t$

Comparing this to the desired form, we see that ...

$P_0=150\left(\dfrac{16}{15}\right)^{-2}\approx 131.836\\\\e^{k}=\left(\dfrac{16}{15}\right)^{1/2}\rightarrow k=\dfrac{1}{2}(\ln{16}-\ln{15})\approx 0.0322693$

So, the approximate equation for P is ...

$P(t)=131.836\cdote^{0.032t}$

And the parameters of interest are ...

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3 years ago

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3 years ago

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Answer:

A: (-9,-3)(-2,-4)(-5,-8)

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Step-by-step explanation:

So of the transformations, translations are pretty much the easiest. x-1 just means move all coordinates left 1 and y-3 means move all coordinates down 3. So for the first one the x coordinate gets 1 subtracted from it and the y value gets 3 subtracted from it.

(-8,0) => (-8-1, 0-3) = (-9,-3)

I do recommend double checking though, for practice and in case I flubbed a calculation.

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3 years ago