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4 years ago

14

a 6lb watermelon costs $2.40 before a 30% discount. Which equation would allow you to find the discounted price of the watermelo

n?

1 answer:

ycow [4]4 years ago

5 0

The answer should be 1.68

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What is the fifth term in the binomial expansion of (x + 5)^8?O 175,000x³O 43,750x4O 3,125x5O 7,000x

enyata [817]

Solution:

Given the expression below

$(x+5)^8$

Applying the binomial theorem formula

$\begin{gathered} \left(a+b\right)^n=\sum_{k=0}^n{\binom{n}{k}}a^{n-k}b^k \\ Where \\ a=x \\ b=5 \\ n=8 \\ k=4\text{ i.e. fifth term} \end{gathered}$

For the fifth term, i.e

$\sum_{k=4}^8{\binom{8}{4}}x^{8-4}5^4=\frac{8!}{4!(8-4)!}\cdot x^4\cdot(625)=(70)(625)(x^4)=43750x^4$

Hence, the fifth terms is

$43750x^4$

3 0

1 year ago

Pls solve for each variable

Serjik [45]

$\frac{a}{8} = - 4 \\ = > a \: = - 4 \times 8 \\ = > a \: = - 32 \\$

<h3>Answer is -32.</h3>

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ki77a [65]

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Ksivusya [100]

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