Answer:
The classes need to raise $164.86 more to reach their goal of $1200.
Step-by-step explanation:
$1,200 total
Mrs. LeBlanc's class has raised 50% of the total, so they've raised $600.
1200/2 = 600
Mr. Patel's class has raised $235.14.
235.14 + 600 = 835.14
Ms. Warner's class has raised 1/3 of the total of Mrs. LeBlanc's class ($600), so they've raised $200.
600/3 = 200
835.14 + 200 = 1035.14
The three classes have raised a combined total of $1035.14.
1200 - 1035.14 = 164.86
The classes need to raise $164.86 more to reach their goal of $1200.
The answer is t=1.
Hope this helps.
Step-by-step explanation:
I think option A is the correct answer
Because it is in ascending order
<span>Length = 1200, width = 600
First, let's create an equation for the area based upon the length. Since we have a total of 2400 feet of fence and only need to fence three sides of the region, we can define the width based upon the length as:
W = (2400 - L)/2
And area is:
A = LW
Substitute the equation for width, giving:
A = LW
A = L(2400 - L)/2
And expand:
A = (2400L - L^2)/2
A = 1200L - (1/2)L^2
Now the easiest way of solving for the maximum area is to calculate the first derivative of the expression above, and solve for where it's value is 0. But since this is supposedly a high school problem, and the expression we have is a simple quadratic equation, we can solve it without using any calculus. Let's first use the quadratic formula with A=-1/2, B=1200, and C=0 and get the 2 roots which are 0 and 2400. Then we'll pick a point midway between those two which is (0 + 2400)/2 = 1200. And that should be your answer. But let's verify that by using the value (1200+e) and expand the equation to see what happens:
A = 1200L - (1/2)L^2
A = 1200(1200+e) - (1/2)(1200+e)^2
A = 1440000+1200e - (1/2)(1440000 + 2400e + e^2)
A = 1440000+1200e - (720000 + 1200e + (1/2)e^2)
A = 1440000+1200e - 720000 - 1200e - (1/2)e^2
A = 720000 - (1/2)e^2
And notice that the only e terms is -(1/2)e^2. ANY non-zero value of e will cause this term to be non-zero and negative meaning that the total area will be reduced. Therefore the value of 1200 for the length is the best possible length that will get the maximum possible area.</span>
Answer:
G. Modus tollens
Step-by-step explanation:
This question used the inference called modus tollens.
Modus tollens is a a valid form of argument that is of this form below:
<em>If S, then T</em>
<em>i</em><em>f not S, then not T.</em>
S = dog doesn't know perpetrator
Not S = dog knows who the perpetrator is
T = the dog barked
Not T = the dog did not bark.
So if we put this into the statement in bold letters, we would have:
The dog doesn't know perpetrator, so it barked.
And,
The dog didn't bark, so it knows the perpetrator.
