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2 years ago

What is the length of the hypotenuse of the right triangle defined by the points (4,2) (8,2) and (8,4) ?

Mathematics

1 answer:

ch4aika [34]2 years ago

8 0

go for B by my man you got this

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Assume you have such a watch. if a minimum of 18.0% of the original tritium is needed to read the dial in dark places, for how m

laila [671]

Given that the half life of 3H is 12.3 years.

The amount of substance left of a radioactive substance with half life of $t_{ \frac{1}{2} }$ after t years is given by

$N(t)=N_0\left(\frac{1}{2} \right)^{ \frac{t}{t_{\frac{1}{2}} }$

Therefore, the number of years it will take for 18% of the original tritinum to remain is given by

$18 \% = 100 \% \left(\frac{1}{2} \right)^{ \frac{t}{12.3}} \\ \\ \Rightarrow\left(\frac{1}{2} \right)^{ \frac{t}{12.3}} =0.18 \\ \\ \Rightarrow\frac{t}{12.3}\ln\left(\frac{1}{2} \right)=\ln0.18 \\ \\ \Rightarrow\frac{t}{12.3}= \frac{\ln0.18}{\ln\left(\frac{1}{2} \right)} = \frac{-1.715}{-0.6931} =2.474\\ \\ \Rightarrow t=2.474(12.3)=30.4$

Therefore, the number of years that the time could be read at night is 30.4 years.

5 0

3 years ago

What is the cosine of angle a? a. 8/17 b. 15/8 c. 15/17 d. 8/15

jolli1 [7]

Check the picture below.

6 0

2 years ago

The U.S. Department of Housing and Urban Development publishes data on the fair market monthly rent for existing one-bedroom hou

Aleksandr [31]

Answer:

$n=(\frac{1.960(80)}{25})^2 =246.73 \approx 247$

So the answer for this case would be n=247 rounded up to the nearest integer

Step-by-step explanation:

We know that the standard deviation is :

$\sigma = 80$ represent the deviation

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

And on this case we have that ME =25 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

The critical value for 95% of confidence interval now can be founded using the normal distribution and the critical value would be $z_{\alpha/2}=1.960$ , replacing into formula (b) we got:

$n=(\frac{1.960(80)}{25})^2 =246.73 \approx 247$

So the answer for this case would be n=247 rounded up to the nearest integer

8 0

2 years ago

Find the distance between the points given. (2, 5) and (6, 8)

inna [77]

(2,5) , (6,8)

Distance formula :

d = √(x₂-x₁)² + (y₂-y₁)²

Simply plug in the values.

d = √(6 - 2)² + (8 - 5)²

Simplify.

d = √(4)² + (3)²

Simplify.

d = √16 + 9

Simplify.

d = √25

So, the distance is 5

~Hope I helped!~

6 0

3 years ago

−8⋅f(1)−4⋅g(4)= I have no idea how to solve this...

tigry1 [53]

Answer:

I think its -8f-16g

Step-by-step explanation:

5 0

2 years ago