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.
Answer: 20 pounds.
Step-by-step explanation:
We know the weight of each flower arrangement (each one weighs 6 2/3 pounds) and the total number of flower arrangaments Isabelle ordered (3 flower arrangements).
To make the calculus easier, we can rewrite the mixed number 6 2/3 as a decimal number:
Divide the numerator 2 by the denominator 3 and add the result to the whole number 6:
If 1 arrangement weighs 6.666 pounds, the total weigth of 3 arrangements can be calculated by multiplying 6.666 pounds by 3:
It's 18/100. The reduced / simplest form is 9/50 because you divide it by 2 since it's the GCS.
Answer:
67 ½ units³ or 135/2 units³
Step-by-step explanation:
Volume = Base area × height
In case:
width is 6 the height is 4 1/2 and the length is 2 1/2
2 ½ = 5/2
4 ½ = 9/2
Volume = (6 × 5/2) × 9/2
= 15 × 9/2
= 135/2
= 67 ½ units³
Answer:
D) log₁₀20x⁵-1 and E) log₁₀(2x⁵)
Step-by-step explanation:
5log₁₀x+log₁₀20-log₁₀10
5log₁₀x+log₁₀20-1
log₁₀x⁵+log₁₀20-1
log₁₀20x⁵-1 (Option D)
5log₁₀x+log₁₀20-log₁₀10
log₁₀20x⁵-log₁₀10
log₁₀(20x⁵/10)
log₁₀(2x⁵) (Option E)
