Answer:
They did not leave the correct amount. They left around a 22% tip
Step-by-step explanation:
15% = 0.15
68.25(0.15)
10.24
22% = 0.22
68.25(0.22) = 15.02
Answer:
6- yes
9- yes
3- no
7- yes
Step-by-step explanation:
Greater than or equal to answers will work!
6*3= 18 which is equal to 18
9*3= 27 which is greater than 18
3*3=9 which is less than 18
7*3=21 which is greater than 18
Answer:
Step-by-step explanation:
r=4 m
slant height l=5 m
surface area=πr²+πrl=πr(r+l)=π×4(4+5)=36 π m²≈113.1 m²
Answer:
1. y' = 3x² / 4y²
2. y'' = 3x/8y⁵[(4y³ – 3x³)]
Step-by-step explanation:
From the question given above, the following data were obtained:
3x³ – 4y³ = 4
y' =?
y'' =?
1. Determination of y'
To obtain y', we simply defferentiate the expression ones. This can be obtained as follow:
3x³ – 4y³ = 4
Differentiate
9x² – 12y²dy/dx = 0
Rearrange
12y²dy/dx = 9x²
Divide both side by 12y²
dy/dx = 9x² / 12y²
dy/dx = 3x² / 4y²
y' = 3x² / 4y²
2. Determination of y''
To obtain y'', we simply defferentiate above expression i.e y' = 3x² / 4y². This can be obtained as follow:
3x² / 4y²
Let:
u = 3x²
v = 4y²
Find u' and v'
u' = 6x
v' = 8ydy/dx
Applying quotient rule
y'' = [vu' – uv'] / v²
y'' = [4y²(6x) – 3x²(8ydy/dx)] / (4y²)²
y'' = [24xy² – 24x²ydy/dx] / 16y⁴
Recall:
dy/dx = 3x² / 4y²
y'' = [24xy² – 24x²y (3x² / 4y² )] / 16y⁴
y'' = [24xy² – 18x⁴/y] / 16y⁴
y'' = 1/16y⁴[24xy² – 18x⁴/y]
y'' = 1/16y⁴[(24xy³ – 18x⁴)/y]
y'' = 1/16y⁵[(24xy³ – 18x⁴)]
y'' = 6x/16y⁵[(4y³ – 3x³)]
y'' = 3x/8y⁵[(4y³ – 3x³)]
Answer:
The answer is B. 105 miles
Step-by-step explanation:
I just used a calculator and put in 30 times a random number until I got 63. So, 30 times 2.1 is 63. Then, I multiplied 50 times 2.1 to get 105 as the answer.
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