All categories

3 years ago

Find the fifth term of the binomial expansion. (x2+y5) ^8

Mathematics

1 answer:

OlgaM077 [116]3 years ago

6 0

Answer:

The fifth term of the binomial expansion

$T_{5} = 70 x^{8} y^{20}$

Step-by-step explanation:

Step:1

Given that the binomial expansion

( x² + y⁵ )⁸

we know that

$T_{r+1} = n_{C_{r} } a^{r} x^{n-r}$ ...(i)

Step:2

put r = 4

$T_{4+1} = 8_{c_{4} } (x^{2} )^{4} (y^{5} )^{8-4}$

$T_{5} = 70 x^{8} y^{20}$

Final answer:-

The fifth term of the binomial expansion

$T_{5} = 70 x^{8} y^{20}$

You might be interested in

• Use whichever method you prefer (the area model or the distributive property)

kolbaska11 [484]

Answer: 2a^2+22a+−1

Step-by-step explanation:

Let's simplify step-by-step.

2a^2−5a+(9)(3)a−1

=2a^2+−5a+27a+−1

Combine Like Terms:

=2a^2+−5a+27a+−1

=(2a^2)+(−5a+27a)+(−1)

=2a^2+22a+−1

4 0

3 years ago

So far, Charlie has pures 456.6 Glories. He wants to burn a total of 500 calorierHow many more calories must Charlie burn?

klasskru [66]

Well if he’s burned 456.6 calories already and he needs to get to 500 then you would have to simply subtract 456.6 from 500
The equation: 500 - 456.6 = 43.4
Hope this helps!

4 0

2 years ago

On a coordinate plane the coordianits of vertices the and t for a polygon are r(-7,3) and r (3,3) what is the length of side rt

NemiM [27]

The length is 10.

Since the two points share the same y-coordinate, the segment rt is horizontal.

This means that the length of the side is simply the difference (in absolute value) between the x coordinates of the two points.

So, we have

$\overline{RT} = |-7-3| = |-10| = 10$

6 0

3 years ago

Read 2 more answers

Use the distance formula to find the distance, to the nearest tenth, from S(5,-4) to W(-3,7)

natali 33 [55]

Answer:

Distance (d) =13.6

Step-by-step explanation:

$d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\\\\(5,-4)=(x_1,y_1)\\(-3,7)=(x_2,y_2)\\\\d=\sqrt{\left(-3-5\right)^2+\left(7-\left(-4\right)\right)^2}\\\\d=\sqrt{(-3-5)^2+(7+4)^2}\\\\d=\sqrt{(-8)^2+(11)^2}\\\\d=\sqrt{64+121}\\\\d=\sqrt{185} \\\\d = 13.60147\dots \\\\\\d =13.6$

7 0

2 years ago

Use the following basketball team's scores for one season to answer the following question 44,43,42,40,42,45,39,38,18 What's the

Nimfa-mama [501]

Answer:

The mean is 39

The median is 42

Step-by-step explanation:

The median is the best measure of center for the above data because half of the values are less than the median and half of the values are more than the median. It's probably the best measure of center to use in a skewed distribution.

The measure of variability is the range because is the simplest measure of variability to calculate but can be misleading if the dataset contains extreme values.

The variability is 67.25

This is how I did it

8 0

2 years ago