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agasfer [191]
3 years ago
15

I’ll mark as BRANLIEST!! 30 POINTS!!

Mathematics
1 answer:
Aloiza [94]3 years ago
8 0

\purple{ \tt{ \huge{  \: ✨Answer ✨ \: }}}

\:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \red{ \boxed{ \boxed{ \huge{ \tt{ \: 900 \: }}}}}

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Find the 6th term of the expansion of (2p - 3q)11. a. -7,185,024p4q7 c. -7,185p4q7 b. -7,185,024p6q5 d. -7,185p6q5
bezimeni [28]
\bf (2p-3q)^{11}\implies 
\begin{array}{llll}
term&coefficient&value\\
-----&-----&-----\\
1&&(2p)^{11}(-3q)^0\\
2&+11&(2p)^{10}(-3q)^1\\
3&+55&(2p)^9(-3q)^2\\
4&+165&(2p)^8(-3q)^3\\
5&+330&(2p)^7(-3q)^4\\
6&+462&(2p)^6(-3q)^5
\end{array}

the coefficient for the first term is 1, the next is 11 and so on... now, notice, the elements of the binomial, the 1st element starts off with 11, and every term it goes down by 1, the 2nd element starts off at 0, and goes up by 1 in each term.

now, to get the next coefficient, you simply, "get the product of the current coefficient and the exponent of the 1st element, and divide that by the exponent of the 2nd element in the next term".

for example, how did we get 165 for the 4th term.... well  (55*9)/3

how did we get 462 for the 6th term? well (330*7)/5.

and then you can just expand it from there.
8 0
3 years ago
Read 2 more answers
Four students have summer jobs. The table shows how much each student earns after working a certain number of hours. Which stude
vlada-n [284]

Answer:

C Jacob

Step-by-step explanation:

Alfredo: 157.5/18 = 8.75

Helene: 198/24 = 8.25

Jacob: 142.5/15 = 9.53

Leonna: 111/12 = 9.25

7 0
3 years ago
A Number m plus 4 is greater than or equal to seven
SpyIntel [72]

Answer:

m ≥ 3

m is greather or equal to 3

Step-by-step explanation:

m + 4 ≥ 7

m ≥ 7 - 4

m ≥ 3

6 0
3 years ago
Type SSS, SAS, ASA, SAA, or HL to<br> justify why the two larger triangles are<br> congruent.
Otrada [13]

Answer:

SSS

Step-by-step explanation:

5 0
3 years ago
A new mixture of​ self-tanning &amp; moisturizing lotions for everyday use is being developed. This mixture is made by mixing 90
butalik [34]
I don't know but i need points so thanks
7 0
3 years ago
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