V = 2s3
s = 3.5
2 (3.5) 3 3.5×2=7.0
7.0×3 7.0×3=21.0 units or 21 units
Answer: 21 units
The answers are A, B, and D because to find the percent, you would have to multiply the percent by the number you're trying to get out of. There are different but correct ways written in A, B, and D.
Answer:
1,680 grams
Step-by-step explanation:
To solve this, we can create a proportion using this setup:
grams/people=grams/people
The recipe needs 480 grams for 4 people and x (unknown-what we are trying to find) grams for 14 people.
480 grams/4 people=x grams/14
480/4=x/14
Now, we have to solve for x-the grams needed for 14 people. To do this, we have to get x by itself. x is being divided by 14. To undo this, multiply both sides by 14, because multiplication is the opposite of division.
14(480/4)=(x/14)14
14(480/4)=x
14*120=x
1680=x
She needs 1,680 grams of couscous for 14 people.
Answer:
y = 1/12 (x − 5)²
Step-by-step explanation:
We can solve this graphically without doing calculations.
The y component of the focus is y = 3. Since this is above the directrix, we know this is an upward facing parabola, so it must have a positive coefficient. That narrows the possible answers to A and C.
The x component of the focus is x = 5. Since this is above the vertex, we know the x component of the vertex is also x = 5.
So the answer is A. y = 1/12 (x−5)².
But let's say this wasn't a multiple choice question and we needed to do calculations. The equation of a parabola is:
y = 1/(4p) (x − h)² + k
where (h, k) is the vertex and p is the distance from the vertex to the focus.
The vertex is halfway between the focus and the directrix. So p is half the difference of the y components:
p = (3 − (-3)) / 2
p = 3
k, the y component of the vertex, is the average:
k = (3 + (-3)) / 2
k = 0
And h, the x component of the vertex, is the same as the focus:
h = 5
So:
y = 1/(4×3) (x − 5)² + 0
y = 1/12 (x − 5)²
A=((8.9+8.9)/2) * 5.4 = 48.06P= 8.9*2 +6*2 = 28.4
