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maw [93]
3 years ago
13

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:

<u><em>Step:1</em></u>

Given that the binomial expansion

     ( x² + y⁵ )⁸

we know that

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

<u><em>Step:2</em></u>

put r = 4  

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

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

<u><em>Final answer:</em></u>-

The fifth term of the binomial expansion

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

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Michael multiplies 0.4 by a number. He records the product as 0.012. What number did Michael use? Michael used
Free_Kalibri [48]

Answer:

0.03

Step-by-step explanation:

Calculation for What number did Michael used

Using this formula

Number used=Number of Product recorded/Number multiplied

Let plug in the formula

Number used =0.012/0.4

Number used =0.03

CHECK: 0.4*0.03=0.012

Therefore the number that Michael used is 0.03

5 0
3 years ago
Find the first 3 terms of arithmetic sequence if t5=-154 and t9=-274. find t1, t2, t3
777dan777 [17]

Answer: t1 = -34; t2 = -64; t3 = -94

d is the distance between numbers (d > 0)

we have:

t5 = t1 + 4d = -154

t9 = t1 + 8d = -274

we have the equations:

t1 + 4d = -154

t1 + 8d = -274

<=> t1 = -34

      d = -30

with t1 = -34 and = -30 => t2 = -34 - 30 = -64

                                          t3 = -64 - 30 = -94

Step-by-step explanation:

4 0
3 years ago
Which point should Polly connect to point E to make a 30° angle?
Grace [21]

Answer:

D.

Step-by-step explanation:

If she connects it to any other point the angle would be more then 30 degrees.

8 0
3 years ago
Read 2 more answers
Mr Thompson please help with my new HW
sesenic [268]

Answers:

  1. C) x = plus/minus 11
  2. B) No real solutions
  3. C) Two solutions
  4. A) One solution
  5. The value <u>  18  </u> goes in the first blank. The value <u>  17  </u> goes in the second blank.

========================================================

Explanations:

  1. Note how (11)^2 = (11)*(11) = 121 and also (-11)^2 = (-11)*(-11) = 121. The two negatives multiply to a positive. So that's why the solution is x = plus/minus 11. The plus minus breaks down into the two equations x = 11 or x = -11.
  2. There are no real solutions here because the left hand side can never be negative, no matter what real number you pick for x. As mentioned in problem 1, squaring -11 leads to a positive number 121. The same idea applies here as well.
  3. The two solutions are x = 0 and x = -2. We set each factor equal to zero through the zero product property. Then we solve each equation for x. The x+2 = 0 leads to x = -2.
  4. We use the zero product property here as well. We have a repeated factor, so we're only solving one equation and that is x-3 = 0 which leads to x = 3. The only root is x = 3.
  5. Apply the FOIL rule on (x+1)(x+17) to end up with x^2+17x+1x+17 which simplifies fully to x^2+18x+17. The middle x coefficient is 18, while the constant term is 17.
3 0
3 years ago
Question 6 (4 points)
riadik2000 [5.3K]

Answer:

Interior Angles: 3, 4, 5, 6

Exterior Angles 1, 2, 7, 8

Hope this helps!

3 0
3 years ago
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