I don't get question 1 can you help me

Mathematics

1 answer:

iragen [17]4 years ago

8 0

It's already answered correctly. It is complementary because the angles add to be 90 degrees. They are also adjacent, however because they meet at the same vertex.

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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
P0 = 131.836

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 ...

k = 0.032
P0 = 131.836

4 0

3 years ago

224 is what % of 640?

Lena [83]

35%

To compare two whole numbers to find a percent, divide the first number by the second number:

224/640 = 0.35.

Multiply the dividend by 100 to get a percent.

0.35 x 100 = 35%.

3 0

3 years ago

Write your answer in scientific notation (2.5•10^8)•(2•10^3)

ICE Princess25 [194]

Answer:

$5\times10^{11}$

Step-by-step explanation:

In order to get the answer to this question you will have to put the scientific notations into their number form then multiply, then change back into scientific notation form.

$(2.5\times10^8)\times(2\times10^3)$