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Cerrena [4.2K]
2 years ago
10

What is the third term in the expansion of the binomial (2x 5)5?

Mathematics
1 answer:
Olin [163]2 years ago
6 0
Hello,
1
1  1
1  2 1
1  3 3 1
1  4 6 4 1
1 5 10 10 5 1

(2x+5)^5=1*(2x)^5+5*(2x)^4*5+10*(2x)^3*5^2+10*(2x)^2*5^3+5*(2x)*5^4+5^5

Third term is 10*8*x^3*25=2000 x^3
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If the ratio of wiping is the green peas is 2 to 8 and there are a total of 30 pens how many pens are white
kaheart [24]
2x+8x=30. x= #of pens

10x=30. combine like terms

x=3. divide by 10 to isolate (get by itself) x

2(3)=6. the # of white pens are represented by 2x

6 white pens



hope this helped!
8 0
2 years ago
The two shortest sides of a right triangle are 10 in. And 24 in. long. What is the length of the shortest side of a similar righ
ivanzaharov [21]
If the two shortest sides of the triangle are 10in and 24in, then using Pythagoras' theorem, the longest side =
\sqrt{10^2 + 24^2} 
= \sqrt{676}
= 26

Now we know the two longest sides of the first triangle (24in and 26in) we can compare them with the two longest sides of the second triangle.
If x = the scale factor the first triangle is enlarged by then
26x = 39 and 24x = 36 
⇒ x = 1.5

Finally, we need to multiply the smallest side of the first triangle by the scale factor to find the shortest side of the second triangle.
10(1.5) = 15
So the length of the shortest side of the other triangle is 15in.

You could, instead, calculate the length of the shortest side of the second triangle by using Pythagoras' theorem and ignoring the first triangle completely.
5 0
3 years ago
Read 2 more answers
Is the function y=<br> -<br> 9x–6 linear
alina1380 [7]

Answer:

yes

Step-by-step explanation:

5 0
3 years ago
What is 25%(percent) Of 42
andrezito [222]
25% of 42=25 divided by 100 x 42 
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3 0
3 years ago
Read 2 more answers
A school wishes to accept 2000 students for their freshman class, and they expect 20,000 applications. In order to make their ad
vovangra [49]

Answer:

456

Step-by-step explanation:

Let X be the SATscore scored by the students

Given that X is normal (1000,200)

By converting into standard normal variate we can say that

z=\frac{x-1000}{200} is N(0,1)

To find the top 10% we consider the 90th percentile for z score

Z 90th percentile = 1.28

X= 200+1.28(200)\\= 200+256\\=456

i.e. only students who scored 456 or above only should be considered.

3 0
3 years ago
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