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3 years ago

HELP PLS I DONT KNOW HOW TO DO MATH DONT KNOW HOW I PASSED PLS

Mathematics

2 answers:

Rus_ich [418]3 years ago

7 0

Answer:

Slope will be 3

Step-by-step explanation:

Do you need an explanation?

Taya2010 [7]3 years ago

3 0

Answer:

slope is 3

Step-by-step explanation:

slope formula is M = (y2 - y1)/(x2-x1)

plug in 2 cordinates and you get (9/6)/(2-1)

which simplified is 3/1 or 3

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The sample and h is the half-life, in days, of the substance. A sample contains 60% of its original amount of Fermium-257. The h

skelet666 [1.2K]

Answer:

74 days

Step-by-step explanation:

The computation is shown below;

The proportion that remains left after d days is

p = (1/2)^(d ÷ 100)

In the case when the proportion is 60%

So,

0.60 = 0.50^(d ÷ 100)

Now

log(.60) = (d ÷ 100)log(.50)

100·log(.60) ÷ log(.50) = d = 74 days

5 0

3 years ago

Use an Addition or Subtraction Formula to find the exact value of the expression, as demonstrated in Example 1. cos 41π 12.

PtichkaEL [24]

Answer: $\frac{\sqrt{6}-\sqrt{2}}{2}$

Step-by-step explanation:

We apply the formula $\cos(x+y)=\cos(x)\cos(y)-\sin(x)\sin(y)$ .

Note that $\cos(\frac{41}{12}\pi)=\cos((\frac{36}{12}+\frac{7}{12})\pi)=\cos(3\pi + \frac{7}{12})\pi)$ . Take $x=3\pi$ and $y=\frac{7}{12}\pi$ in the formula above to get

$\cos(\frac{41}{12}\pi)=\cos(3\pi)\cos(\frac{7}{12}\pi)-\sin(3\pi)\sin(\frac{7}{12}\pi)=(-1)\cdot \cos(\frac{7}{12}\pi)-0\cdot\sin(\frac{7}{12}\pi)=-\cos(\frac{7}{12}\pi)$

Then the value of this expression is $-\cos(\frac{7}{12}\pi)$

We can use the cosine addition formula again to simplify further. Decompose the fraction in the argument as:

$\cos(\frac{7}{12}\pi)=\cos((\frac{3}{12}+\frac{4}{12})\pi)=\cos((\frac{1}{4}\pi + \frac{1}{3})\pi)$

Applying the formula with $x=\frac{1}{4}\pi$ and $y=\frac{1}{3}\pi$ we obtain

$\cos(\frac{7}{12}\pi)=\cos(\frac{1}{4}\pi)\cos(\frac{1}{3}\pi)-\sin(\frac{1}{4}\pi)\sin(\frac{1}{3}\pi)=\frac{\sqrt{2}}{2}\cdot\frac{1}{2} -\frac{\sqrt{2}}{2}\cdot\frac{\sqrt{3}}{2}=\frac{\sqrt{2}-\sqrt{6}}{2}$