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Lina20 [59]
3 years ago
8

I. How long is the lunch period?

Mathematics
1 answer:
Marina86 [1]3 years ago
6 0
II, III, and IV are statistical questions about lunchtime that anticipate variability. 
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Show work. This is a BC calculus problem.
stepan [7]

Answer:

D.

Step-by-step explanation:

Remember that the limit definition of a derivative at a point is:

\displaystyle{\frac{d}{dx}[f(a)]= \lim_{x \to a}\frac{f(x)-f(a)}{x-a}}

Hence, if we let f(x) be ln(x+1) and a be 1, this will yield:

\displaystyle{\frac{d}{dx}[f(1)]= \lim_{x \to 1}\frac{\ln(x+1)-\ln(2)}{x-1}}

Hence, the limit is equivalent to the derivative of f(x) at x=1, or f’(1).

The answer will thus be D.

5 0
2 years ago
Batman uses 5 gallons of gas to drive his Batmobile 140
stepan [7]

Answer:

196 miles

Step-by-step explanation:

if he goes 140 miles with 5 gallons, each gallon lets him go 28 miles.

140miles/5gallons=28miles/1gallon

then 7 gallons lets you go 196 miles

brainliest please :)

7 0
3 years ago
Find dy/dx by implicit differentiation. <br> 4x2 + 5xy - y2 = 6
Vlada [557]
4x^2 + 5xy - y^2 = 6
Implicitly differentiating both sides,
4(2x) + 5(x y' + y) - 2yy' = 0

where y' = dy/dx

8x + 5xy' +5y  -2yy' = 0

combining y' terms
y' (5x-2y) +8x +5y = 0

y'(5x-2y) = -(8x+5y)

dy/dx = -(8x+5y)/(5x-2y)
or
dy/dx = (8x+5y)/(2y-5x)
5 0
3 years ago
A jar contains only​ pennies, nickels,​ dimes, and quarters. There are 16 ​pennies, 18 ​dimes, and 28 quarters. The rest of the
tatyana61 [14]

Answer:

I hope this helps you

Step-by-step explanation:

84-16=68

68-18=50

50-28=22

n=22

equation:84-(16+18+28)

6 0
2 years ago
Read 2 more answers
A crew will arrive in one week and begin filming a city for a movie. The mayor is desperate to clean the city streets before fil
Zigmanuir [339]

Answer:

See below in bold.

Step-by-step explanation:

You work in fractions of the city streets done per hour:

1/200 + 1/400 = 1 /x  where x is the number of hours taken by 2 teams.

Multiply through by the LCM 400x:

2x + x = 400

3x = 400

x =  133.33 hours.

As there are 168 hours in a week they will have enough time.

6 0
3 years ago
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