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Shalnov [3]
2 years ago
5

Please show steps!1​

Mathematics
1 answer:
kotykmax [81]2 years ago
5 0

Answer:

5\sqrt[3]{25}

Step-by-step explanation:

Let's factor to see if it's a perfect cube: 3 is a factor, so let's divide: 1875:3 = 625. 625 is no longer divisible by 3, but it is by 5, in particular it's 5^4 = 625. At this point we can start taking out of the cube root as much as we can:

\sqrt[3]{1875}  = \sqrt[3]{3\times 5^4} = \sqrt[3]{3\times 5\times 5^3} = 5 \sqrt[3]{3\times5} =  5\sqrt[3]{25}

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Niobium-91 has a half-life of 680 years. After 2,040 years, how much niobium-91 will remain from a 300. 0-g sample? 3 g 18. 75 g
alekssr [168]

Answer:

Amount of Niobium-91 initially

= 300/91 =3.2967mol

2040 years = 3 ×680 = 3 half-lives

therefore, amount left = 0.4121mol

mass of Niobium-91 remaining = 0.4121 ×91 =37.5g

Please give brainliest

8 0
2 years ago
You take a quiz with 6 multiple choice questions. After you studied your estimated that you would have about an 80 % chance of g
Arada [10]

Answer:

1.15%

Step-by-step explanation:

To get the probability of m  independent events you multiply the individual probability of each event. In this case we have m independent events, each one with the same probability, therefore:

p^{m}

0.8^{20} = 1.15\%

This is a particlar scenario of binomial distribution problem. So the binomial distribution questions are about the number of success of m independent events, where every individual event has the same p probability. In the question we have 20 events and each event has a probability of 80%. The binomial distribution formula is:

\binom{n}{k} * p^{k} * (1-p)^{n-k}

n is the number of events

k is the number of success

p is the probability of each individual event

\binom{n}{k} is the binomial coefficient

the binomial coefficient allows to find the subsets of k elements in a set of n elements.  In this case there is only one subset possible since the only way to get 20 of 20 correct questions is to getting right all questions (for getting 19 of 20 questions there are many ways, for example getting the first question wrong and all the other questions right, or getting second questions wrong and all the other questions right, etc).

\binom{n}{k} = \frac{n!}{k!(n-k)!}

therefore, for this questions we have:

\frac{20!}{20!(20-20)!} * 0.8^{20} * (1-0.8)^{0} = 1.15\%

4 0
2 years ago
I require big help use big brains ​
Setler79 [48]

Answer:

A

Step-by-step explanation:

Please ask if you have further questions

3 0
3 years ago
Read 2 more answers
Can anyone help me pls. Show your work.
nekit [7.7K]

Answer:Do you have a pic of the map? It would  make it easier to solve if I could see the map. Its basic area. A=base times height. If the park is 50 m long and is a square, you would do 50 times 50=2500

tep-by-step explanation:

4 0
2 years ago
Read 2 more answers
how could you estimate the volume of the box if you didn't know anything except the volume of the cylinder inside it?
kobusy [5.1K]

Answer:

Step-by-step explanation:

Since the box contains a cylinder, the height of the box must be gt; = cylinder height

And the area at the bottom of the box is definitely larger than the area at the bottom of the cylinder.

The area at the bottom of the cylinder is PI r squared,

If the bottom of the box is a square, then the area of the bottom is 4r^2, whereas the bottom tends to be polygon, which is equivalent to cutting the circle into equal parts by circle cutting.

So the area at the bottom of the box is \lim_{ Number of polygon edges\to \infty} \pi r^{2},

It follows that the volume of the box is greater than the volume of the cylinder

6 0
3 years ago
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