If it snows do I have to do my homework
Answer:
5 to the 15th power.
Step-by-step explanation:
PEMDAS requires us to do parenthesis, then exponents, and then division. Let's do 5³. 5x5x5 is equal to 125. Now, we find 125 to the ninth power. According to my calculations, 125 to the ninth power is equal to 7,450,580,596,923,828,125. Now, we find 5 to the twelfth power, which, according to my calculations, is 244,140,625. Now, we solve. According to my calculations, 7,450,580,596,923,828,125/244,140,625 is equal to 30,517,578,125. 30,517,578,125 is equivalent to 5 to the 15th power. That means that the second option is correct. I hope this helps!
Answer:
200 muffins
Step-by-step explanation:
The selling price of each muffin = $2
The cost price of each muffin = $1.40
The price of electricity = $120
If the number of muffins that Jenny sells in a day is x, then, Jenny's total cost in a day is:
120 + (1.4 * x) = 120 + 1.4x
and the total sales earnings in a day for x muffins will be:
2 * x = 2x
To break even, the total costs in a day must equal to the total earnings. That is;

Solving this:

She must sell 200 muffins in a day to break even.
Answer:
a)
b) 
c)
Step-by-step explanation:
Data given
x: 500, 700, 750, 590 , 540, 650, 480
y: 7.00, 7.50 , 9.00, 6.5, 7.50 , 7.0, 4.50
Part a
We want to create a linear model like this :

Wehre
And:
With these we can find the sums:
And the slope would be:
Nowe we can find the means for x and y like this:
And we can find the intercept using this:
And the line would be:
Part b
The correlation coefficient is given by:
For our case we have this:
n=7
The determination coefficient is given by:

Part c
By the binomial theorem,

Each term containing a factor 6 is divisible by 3, since 3 divides 6. The remaining 1 and 2 sum to 3, which is also divisible by 3.