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Radda [10]
3 years ago
12

The coefficients corresponding to k = 0, 1, 2, ..., 5 in the expansion of (x + y) 5

Mathematics
1 answer:
yuradex [85]3 years ago
6 0

Answer:

Step-by-step explanation:

1,5,10,10,5,1 - so your answer would be A

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if bought 15 caterpillars for $3.00, how much was each caterpillar (find the unit rate for price per caterpillar)
Mashutka [201]

Answer:

20 cents

Step-by-step explanation:

Divide 3 dollars by 15 caterpillars.

3/15 = 0.2

20 cents

3 0
2 years ago
Read 2 more answers
What is the quotient of (2x3 – 29x + 13) ÷ (x + 4)?
sleet_krkn [62]

9514 1404 393

Answer:

  C.  2x^2 -8x +3 +1/(x +4)

Step-by-step explanation:

Synthetic division is useful for finding the quotient. Or, you can use polynomial long division. The result is the same, but synthetic division requires less writing.

7 0
3 years ago
Write an equation for an exponential growth function where the initial population is 74 and the population quadruples during eac
Liono4ka [1.6K]
If the population quadruples every period say hour, that means the "rate of growth" is 300%, so whatever the current amount, increased by 3 times as much is 4 times the current amount, or a quadrupled amount.

\bf \qquad \textit{Amount for Exponential Growth}\\\\
A=I(1 + r)^t\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
I=\textit{initial amount}\to &74\\
r=rate\to 300\%\to \frac{300}{100}\to &3.00\\
t=\textit{elapsed time}\\
\end{cases}
\\\\\\
A=74(1+3)^t\implies A=74(4)^t
6 0
3 years ago
A) How many ways can 2 integers from 1,2,...,100 be selected
Anna007 [38]

Answer with explanation:

→Number of Integers from 1 to 100

                                            =100(50 Odd +50 Even)

→50 Even =2,4,6,8,10,12,14,16,...............................100

→50 Odd=1,3,,5,7,9,..................................99.

→Sum of Two even integers is even.

→Sum of two odd Integers is odd.

→Sum of an Odd and even Integer is Odd.

(a)

Number of ways of Selecting 2 integers from 50 Integers ,so that their sum is even,

   =Selecting 2 Even integers from 50 Even Integers , and Selecting 2 Odd integers from 50 Odd integers ,as Order of arrangement is not Important, ,

        =_{2}^{50}\textrm{C}+_{2}^{50}\textrm{C}\\\\=\frac{50!}{(50-2)!(2!)}+\frac{50!}{(50-2)!(2!)}\\\\=\frac{50!}{48!\times 2!}+\frac{50!}{48!\times 2!}\\\\=\frac{50 \times 49}{2}+\frac{50 \times 49}{2}\\\\=1225+1225\\\\=2450

=4900 ways

(b)

Number of ways of Selecting 2 integers from 100 Integers ,so that their sum is Odd,

   =Selecting 1 even integer from 50 Integers, and 1 Odd integer from 50 Odd integers, as Order of arrangement is not Important,

        =_{1}^{50}\textrm{C}\times _{1}^{50}\textrm{C}\\\\=\frac{50!}{(50-1)!(1!)} \times \frac{50!}{(50-1)!(1!)}\\\\=\frac{50!}{49!\times 1!}\times \frac{50!}{49!\times 1!}\\\\=50\times 50\\\\=2500

=2500 ways

7 0
3 years ago
If an author can type 2500 words in 5 minutes, how many words can he type in 210 minutes?
Sonbull [250]

Answer:

105,000

Step-by-step explanation:

2500/5 gives you 500 x 210 =105,000

6 0
3 years ago
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