Solve this equation will mark brainlyest
2 answers:
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Answer:
The nth terms: 15,24,33,42,51,60,69,78,87,96,105...
Step-by-step explanation:
The nth term of an arithmetic sequence is given by an = a + (n – 1)d. So, to find the nth term, substitute the given values a = 2 and d = 3 into the formula
Hey!
We know that if we see a number that apparently doesn't have a denominator, we can plug a "1" as a denominator because it's a whole number, for example, we could write.
Finding the inverse would be taking the reciprocal of it, that implies switching the fractions, the signs would change too, so, this would mean that the reciprocal of
would be,
Using Math, we can verify this is correct. To do that, we would have to use exponents.
Thanks!
-TetraFish
We know that if we see a number that apparently doesn't have a denominator, we can plug a "1" as a denominator because it's a whole number, for example, we could write.
Finding the inverse would be taking the reciprocal of it, that implies switching the fractions, the signs would change too, so, this would mean that the reciprocal of
Using Math, we can verify this is correct. To do that, we would have to use exponents.
Thanks!
-TetraFish
Answer:
The dimensions that minimizes the cost are a= 6.604 (lenght of a side) and h=2.752 (height)
Step-by-step explanation:
Let's define some notation first:
h = represent the height of the box
a= length of a side on the bottom
We need to remember that we have on this case an open box, so then we don't have a top part.
Let's begin with the formula for the volume of the box, we have a total volume given of , and we know that the volume for a box is the product of the area and the height like this:
(1)
From equation (1) we cna solve for the height and we got:
(2)
Now let's move to th surface area formula. The top bottom area is and the surface area for the four lateral sides is 4ah. Since we know that the cost for the bottom material is 10 $ per each square meter and for the sides is 12$ per square meter we can create a function cost like this:
(3)
Now we can substitute into equation (3) the equation (2) like this:
(4)
Now in order to find the minimum cost, we can take the first derivate for the expression (4) like this
We can set this equal to 0 and solve for a and we got:
And since we have a we can find h using the expression (2) like this:
So then the dimensions that minimizes the cost are a= 6.604 (lenght of a side) and h=2.752 (height)