Answer:
66 coolers
Step-by-step explanation:
C = 0.005x² - 0.3x + 17
When C = $19
19 = 0.005x² - 0.3x + 17
19 - 17 = 0.005x² - 0.3x
2 = 0.005x² - 0.3x
0.005x² - 0.3x - 2 = 0
x = -b ± √b² - 4ac / 2a
= -(-0.3) ± √-0.3² - 4*0.005*-2 / 2*0.005
= 0.3 ± √ 0.09 - (-0.04) / 0.01
= 0.3 ± √ 0.09 + 0.04 / 0.01
= 0.3 ± √ 0.13 / 0.01
= 0.3/0.01 ± √0.13/0.01
= 30 ± 0.36/0.01
x = 30 ± 36
x = 30 + 36 or 30 - 36
x = 66 or -6
Number of coolers can not be negative
Therefore, number of coolers produced when the cost is $19
is 66 coolers
Answer:
3,432 m²
Step-by-step explanation:
The amount of aluminum in square meters needed to make the mailboxes = 1863(surface area of each mailbox)
Surface area of each mail box = ½(surface area of cylinder) + (Surface area of rectangular prism/box - area of the surface of the box that joins the half-cylinder)
✔️Surface area of ½-cylinder = ½[2πr(h + r)]
r = ½(0.4) = 0.2 m
h = 0.6 m
π = 3.14
Surface area of ½-cylinder = ½[2*3.14*0.2(0.6 + 0.2]
= 0.628(0.8)
Surface area of ½-cylinder = 0.5024 m²
✔️Surface area of the rectangular box/prism = 2(LW + LH + WH)
L = 0.6 m
W = 0.4 m
H = 0.55 m
Surface area = 2(0.6*0.4 + 0.6*0.55 + 0.4*0.55)
Surface area of rectangular box = 1.58 m²
✔️Area of the surface joining the half cylinder and the box = L*W = 0.6*0.4 = 0.24 m²
✅Surface area of 1 mailbox = (0.5024) + (1.58 - 0.24)
= 0.5024 + 1.34
= 1.8424
Amount of aluminum needed to make 1863 mailboxes = 1863 × 1.8424 = 3,432.3912
= 3,432 m²
The answer is a! i hope this helps you!
Answer:
Step-by-step explanation:
Using the distance formula, we see that the distance between (-4,4) and (-7,3) is .
