Answer:
The center is at (0,0)
The vertices are at ( (
±2 sqrt(2),0)
foci are (
±sqrt(5),0)
Step-by-step explanation:
3x^2 + 8y^2 = 24
Divide each side by 24
3x^2 /24 + 8y^2/24 = 24/24
x^2/8 + y^2 /3 = 1
The general equation of an ellipse is
(x-h)^2/ a^2 + (y-k)^2 / b^2 = 1
a>b (h,k) is the center
the coordinates of the vertices are (
±a,0)
the coordinates of the foci are (
±c,0), where ^c2=a^2−b^
2
The center is at (0,0)
a = sqrt(8) = 2sqrt(2)
The vertices are at ( (
±2 sqrt(2),0)
c = 8 - 3 =5
foci are (
±sqrt(5),0)
Complete question :
A chef at a restaurant uses 12 pounds of butter each day. About how many grams of butter does the chef use each day? use the conversion factors 16 oz/1 lb and 28.35 grams/1oz
Answer:
5,424 grams
Step-by-step explanation:
To convert using the conversion factor :
Number of pounds of butter * (16 oz/1) * (28.35) /1
Hence,
12 * 16oz/ 1 * 28.35/1
(12 * 16 * 28)
= 5,424 grams
Answer:
y=-.386x + 2.879
Explanation:
For these type of calculations, you would have to use a graphing calculator to use the <em>linear regression</em> function. What this does is, it takes the x & y values given on the chart and it gives you the best possible linear equation for the given data set.
The exact results were:
y = -0.3862928349 + 2.869158879
6000x = 135000; x ≈ 23.
We are required to have one fire extinguisher for every 6000 ft of space in the building; this means we need to find out how many 6000-ft spaces we have in 135000.
Solving this equation, we divide both sides by 6000:
6000x/6000 = 135000/6000 = 22.5 ≈ 23
