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meriva
3 years ago
10

CAN SOMEONE PLEASEEE HELP SIMPLIFY THESE TWO EXPONENT PROBLEMS I HAVE NO CLUE HOW

Mathematics
1 answer:
Alecsey [184]3 years ago
6 0

Answer:

20. -\frac{y^{12} }{9x^{4} }    

Step-by-step explanation:

21.  3 x^{2}  y^{2}

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Find the radius r of the circle. Round your answer to the nearest tenth.
galina1969 [7]

Answer:

it might be 2.6

Step-by-step explanation:

im assuming the 16.3 is the circumfrence, so if you follow the formula for circumfrence (2πr) the radius would be 2.6. hope this is correct

4 0
3 years ago
Read 2 more answers
Soon after taking an aspirin, a patient has absorbed 320 mg of the drug. after 3 hours, only 40 mg remain. find an exponential m
Anastaziya [24]
The equation will be of the form:
A(t)= A_{0} e^{rt}
where A is the amount after t hours, and r is the decay constant.
To find the value of r, we plug the given values into the equation, giving:
40=320e^{3r}
Rearranging and taking natural logs of both sides, we get:
ln\ 0.125=3r
r=\frac{ln\ 0.125}{3}=-0.693
The required model is:
A=A _{0} e^{-0.693t}
3 0
3 years ago
There are 80 balloons used to make 20 identical gift baskets. What is the unit rate in balloons per gift baskets?
vlabodo [156]
4 gallons per gift basket
7 0
3 years ago
An article reported that, in a study of a particular wafer inspection process, 356 dies were examined by an inspection probe and
Marta_Voda [28]

Answer:

The 95% confidence interval for the proportion of all dies that pass the probe is (0.637, 0.733).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

356 dies were examined by an inspection probe and 244 of these passed the probe.

This means that n = 356, \pi = \frac{244}{356} = 0.685

95% confidence level

So \alpha = 0.05, z is the value of Z that has a p-value of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.  

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.685 - 1.96\sqrt{\frac{0.685*0.315}{356}} = 0.637

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.685 + 1.96\sqrt{\frac{0.685*0.315}{356}} = 0.733

The 95% confidence interval for the proportion of all dies that pass the probe is (0.637, 0.733).

4 0
3 years ago
Find the unit rate.<br> 12 plates in 4 stacks<br> plates per stack
emmasim [6.3K]

Answer:

3

Step-by-step explanation:

3 plates per stack

divide 4 by 4 to get one and 12 by 4 to get 3

8 0
3 years ago
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