Answer:
378.5 or just 378
Step-by-step explanation:
This is a linear model with x representing the number of generations that's gone by, y is the number of butterflies after x number of generations has gone by, and the 350 represents the number of butterflies initially (before any time has gone by. When x = 0, y = 350 so that's the y-intercept of our equation.)
The form for a linear equation is y = mx + b, where m is the rate of change and b is the y-intercept, the initial amount when x = 0.
Our rate of change is 1.5 and the initial amount of butterflies is 350, so filling in the equation we get a model of y = 1.5x + 350.
If we want y when x = 19, plug 19 in for x and solve for y:
y = 1.5(19) + 350
y = 378.5
Since we can't have .5 of a butterfly we will round down to 378
he payed 3,000 in hand payment then gave checks per...mnth for 6 years to equal the needed amount
Answer:
a) 18 in x 18 in x 18 in
b) 
Step-by-step explanation:
a) Let's call 's' the side of the square base and 'h' the height of the solid.
The surface area is given by the equation:

The volume of the solid is given by the equation:

From the volume equation, we have that:

Then, using this value of h in the surface area equation, we have:


To find the side length that gives the minimum surface area, we can find where the derivative of S in relation to s is zero:





The height of the solid is:

b) The minimum surface area is:


A group of customer service surveys were sent out at random. The scores were 90, 50, 70, 80, 70, 60, 20, 30, 80, 90, and 20. Fin
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Answer:
60
Step-by-step explanation:
To find the mean, add all numbers together and divide by the amount of numbers.
Total of number = 660
Number of numbers = 11
660/11 = 60