Answer:
2444
Step-by-step explanation:
The total cost is the integral of the marginal cost.
The total cost of producing units 144 through 625 is 2444.
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If all you need is a number, a graphing calculator can give you that.
Please, use parentheses to enclose each fraction:
y=3/4X+5 should be written as <span>y=(3/4)X+5
Let's eliminate the fraction 3/4 by multiplying the above equation through by 4:
4[y] = 4[(3/4)x + 5]
Then 4y = 3x + 20
(no fraction here)
Let 's now solve the system
4y=3x + 20
4x-3y=-1
We are to solve this system using subtraction. To accomplish this, multiply the first equation by 3 and the second equation by 4. Here's what happens:
12y = 9x + 60 (first equation)
16x-12y = -4, or -12y = -4 - 16x (second equation)
Then we have
12y = 9x + 60
-12y =-16x - 4
If we add here, 12y-12y becomes zero and we then have 0 = -7x + 56.
Solving this for x: 7x = 56; x=8
We were given equations
</span><span>y=3/4X+5
4x-3y=-1
We can subst. x=8 into either of these eqn's to find y. Let's try the first one:
y = (3/4)(8)+5 = 6+5=11
Then x=8 and y=11.
You should check this result. Subst. x=8 and y=11 into the second given equation. Is this equation now true?</span>
To solve this answer, you are trying to find 55% of 600, because that is the number of people who chose plastic bag.
55% can be re-written as 55/100 OR 0.55 since percentages are always out of 100.
So, we do 0.55*600, which gives us 330. 330 people carry plastic bags.
Answer:
answer is 1/4
Step-by-step explanation:
proof is (x-1/2)²= x²-2*1/2*x+1/4= x²-x+1/4
Answer:
the trainee calculated the incorrect amount
It should be 0.5 mL
Step-by-step explanation:
The physician orders penicillin 500,000 units for a patient while the concentration of the drug you have is 1,000,000 units/ 1mL. It's clear that 1mL drug is too much for the patient since 1,000,000 units are higher than 500,000 units.
The amount of penicillin in 1.5 mL will be definitely higher than 1,000,000 units, so it must be a lot higher than the physician's orders. We can roughly guess that the trainee draws an incorrect amount.
To calculate the exact volume you need, you have to divide the amount of the drug you need with the concentration of the drug. The calculation will be:
the volume needed = amount of the drug you need/ concentration of the drug
volume needed = 500,000 units / (1,000,000 units/ 1mL)= 1/2 mL = 0.5 mL
