Answer: 0.21%
Step-by-step explanation: Please mark me brainlist
Step 1: We make the assumption that 950 is 100% since it is our output value.
Step 2: We next represent the value we seek with x
Step 3: From step 1, it follows that 100% = 950
Step 4: In the same vein x% = 2
Step 5: This gives us a pair of simple equations: 100% = 950(1)
x% = 2(2)
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
100%/x% = 950/2
Step 7: Taking the inverse (or reciprocal) of both sides yields
x%/100%/ 2/950
---> 0.21%
4(2t+6)
8t+24 is the answer
Answer:
4/7
Step-by-step explanation:
5/7 x (1/5+3/5) = 5/7 x 4/5 = 4/7
Answer: 47°C
Step-by-step explanation:
Since we are given the velocity, all we have to do is plug in 358 for v and solve for t.
[divide both sides by 20]
[square both sides to cancel out square root]
[subtract both sides by 273]
Now that we know the temperature is 47.41°C, we know our answer choice is D.
Answer:
- 12 ft parallel to the river
- 6 ft perpendicular to the river
Step-by-step explanation:
The least fence is used when half the total fence is parallel to the river. That is, the shape of the rectangle is twice as long as it is wide.
72 = W(2W)
36 = W²
6 = W . . . . . . the width perpendicular to the river
12 = 2W . . . . the length parallel to the river
_____
<em>Development of this relation</em>
Let T represent the total length of the fence for some area A. Then if x is the length along the river, the width is y=(T-x)/2, and the area is ...
A = xy = x(T -x)/2
Note that the equation for area is that of a parabola with zeros at x=0 and at x=T. That is, for some fence length T, the area will be a maximum at the vertex of this parabola. That vertex is located halfway between the zeros, at ...
x = (0 +T)/2 = T/2
The corresponding area width (y) is ...
y = (T -T/2)/2 = T/4
Equivalently, the fence length T will be a minimum for some area A when x=T/2 and y=T/4. This is the result we used above.
