Berto has $12 to put gas in his car. If gas costs $3.75 per gallon, which ordered pair on the graph of the line relating number of gallons of gas, x, to the total cost of the gas, y, includes the greatest amount of gas Berto can buy?

Answers

Answer 1
Answer: The amount of gas Berto can buy with $12 = 12/3.75 = 3.2 gallons.

Therefore the required ordered pair is (3.2, 12)
Answer 2
Answer: If gas costs $3.75 per gallon and Berto has $12, then he can purchase 12/3.75 gallons. This is approximately 3.2 gallons. So the coordinate on this line would be (3.2, 12). I hope that this is the answer that you were looking for and it has helped you.

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A corn field has an area of 48,000 square. Ft. The width of the field is 300 feet.

Answers

Step-by-step explanation:

A) width × length = area

300 ft × l = 48000 sq ft

B) l = 48000 ÷ 300

l = 160 ft

Find the dimensions of a rectangle with a perimeter of 120 feet that has the maximum area The side lengths are ____ feet.

Answers

Answer:

Side lengths are 30___ feet.

the maximum area of ​​a rectangle of P = 120 feet is that of a square whose side = 30 feet 120/4 = 30 feet

ps: The square is a rectangle which has its four sides of the same measure, four right angles and two perpendicular diagonals which intersect in the middle.

Step-by-step explanation:

Which is an example of bivariate data?(1) age of students in a club
(2) grade level and age of students in a school
(3) type of lunch each student orders at school
(4) attendance numbers for all students in one grade

Answers

Number (2) :) :/:)))))))

IM almost positive its 2

How to you write the number 5,000,000,000,000,000,000,000,000,000,000

Answers

The way you wrote it is how you write it unless you want to do scientific notation then the answer would be, 5x10^30 because for it to be in scientific notation it has to be between 10 and 1 so I moved the decimal spot over 30 to get it into scientific notation. Hope this helps out.
Well, the word form would be five-nonillion.
I hope I helped! =D

the ball reach after bouncing four time? how many bounces does it take for the ball to reach a height of less than one inch?

Answers


After the 'n'th bounce, the ball returns to a maximum height of

               (100) times (0.75)^n .

-- After 4 bounces, the maximum height is (100) (0.75)^4 = 31.64 inches.

-- To look for the maximum height of 1 inch,     (100) (0.75)^x = 1

Let's take the log of each side:    log(100) + x log(0.75) = 0

Subtract  log(100)  from each side:      x log(0.75) = -log(100)

Divide each side by  log(0.75) :            x  =  -log(100) / log(0.75).

log(100) = 2 .  So ...    x = -2 / log(0.75)  =  -2 / -0.124939  =  16.00785    

So the ball returns to a slim hair more than 1 inch high on the 16th bounce,
and returns to definitely less than 1 inch high on the 17th bounce.



Use graphs and tables to find the limit and identify any vertical asymptotes of limit of 1 divided by the quantity x minus 3 as x approaches 3 from the left.

Answers

Answer:

\displaystyle \lim_( \to 3^-) (1)/(x - 3) = -\infty

General Formulas and Concepts:

Calculus

Limits

  • Right-Side Limit:                                                                                             \displaystyle \lim_(x \to c^+) f(x)
  • Left-Side Limit:                                                                                               \displaystyle \lim_(x \to c^-) f(x)

Graphical Limits

Step-by-step explanation:

If we graph the function, we can see that as we approach 3 from the left, we go towards negative infinity.

∴  \displaystyle \lim_( \to 3^-) (1)/(x - 3) = -\infty

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits