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Alenkinab [10]
4 years ago
7

Sam needs to find the circumference of a circle with a diameter of 24 inches. He uses a calculator to find the circumference. Wh

ich answer is reasonable?
A. 72.013678 in
B. 75.398223 in
C. 80.332161 in
D. 85.335372 in
Mathematics
1 answer:
Anni [7]4 years ago
7 0

Answer: B

Step-by-step explanation:

Using 6 decimals for pi = 3.141592

Formula: C= \pi d\\

C=(3.141592)(24in)\\C=75.398223in

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Find the 7th term of the expansion of (3c + 2d)9.
SIZIF [17.4K]
\bf (3c+2d)^9\\\\
-------------------------------\\\\

\begin{array}{crcll}
term&&value\\
-----&&-----\\
1&&(3c)^9(2d)^0\\
2&+9&9(3c)^8(2d)^1\\
3&+36&(3c)^7(2d)^2\\
4&+84&(3c)^6(2d)^3\\
5&+126&(3c)^5(2d)^4\\
6&+126&(3c)^4(2d)^5\\
7&+84&(3c)^3(2d)^6\\
\end{array}

now.. if you notice, the exponent for the 1st term, is dropping on each term subsequently, start with highest, 9 in this case, and drops drops drops, till on the last term, will be 0

the exponent for the second term, starts off at 0, and goes up up and up on each term

that part is simple... now, the coefficient for them

the first one will have a coefficient of 1, so we can take a closer look at the 2nd instead

the coefficient for the second is 1* 9/ 1
(1) the coefficient of the current term, (9) the exponent of the 1st term, and (1) the exponent of the 2nd term on the next term

for example, how did we get 84 for the 4th term?   (36 * 7) / 3 = 84

and so on for all subsequent terms
8 0
3 years ago
To purchase $12,900 worth of machinery for her business, Melissa made a down payment of $2100 and took out a business loan for t
Ierofanga [76]

Answer:

a) $13588.08

b) $688.08

Step-by-step explanation:

Melissa had to purchase $12,900 worth of machinery for her business.

She made a down payment of $2100 and after that made monthly payments of $478.67 for the business loan for the rest.

Given that after years of paying monthly payments of $478.67, she finally paid off the loan.

Assume that she took 2 years to repay the loan.

a) Therefore, the total amount Melissa ended up paying for the machinery was $[2100 + (478.67 × 24)] = $13588.08 (Answer)

b) Therefore, the amount of interest that Melissa pay on the loan is $(13588.08 - 12900) =$688.08. (Answer)

4 0
3 years ago
What are the coordinates of the Image of point L under a Reflection across the x-axis?
OverLord2011 [107]
C. It’s goes over two and up three. So therefore L would be (3,2)
3 0
4 years ago
If x=at^3 and y=bt^2 then find dy/dx
Molodets [167]
Dy/dx = (dy/dt) / (dx/dt)

dy/dt = 2bt

dx/dt = 3at^2

therefore dy/dx = 2bt/3at^2
              dy/dx = 2b/3at
8 0
3 years ago
Suppose two different states each pick a two-digit lottery number between 00 and 99 (for a 100 possible numbers).
Neporo4naja [7]
A. 1/10000 because it is a 1/100 chance for each. 
b. 1/100 because there are 10,000 options and 100 of them are the same options. Simplify for the answer. 
6 0
3 years ago
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