Mikey bikes 12 miles in 2 hours. How many miles does Mikey bike in an hour?
Answers
Answer:
6 miles
Step-by-step explanation:
2 hours can be made into 1 hour by dividing by 2. In order to keep the ratio, you also have to divide the miles by 2, giving you 6.
2:12
1:6
Related Questions
Suppose the function P(t) = 437.6(1.031)t is used to model the population of an organism in a specific region after t years. When will the number of organisms be 1000? (Round your answer to three decimal places.)
The equation cosx=(sqrt 3)/2 is an identity true or false
Lily used 6 loaves of bread on a 7 day camping trip. How many loaves of bread will she use on her next camping trip that will last for 21 days?
For his long distance phone service, Bill pays a $3 monthly fee plus 11 cents per minute. Last month, Bill's long distance bill was $16.09. For how many minutes was Bill billed?
Answers
Answer:
49
Step-by-step explanation:
Answer:
it is 49 for sure
Step-by-step explanation:
it worked for me on khan
Answers
Answer:
(9x -2)(9x +2)
Step-by-step explanation:
Each of the terms in the difference is a perfect square, so the "perfect square trick" applies. The factors are the sum and difference of the square roots of the given terms.
- √(81x²) = 9x
- √4 = 2
81x² - 4 = (9x +2)(9x -2)
Answers
Explanation:
We can use Pythagorean’s theorem to find that other side:
a^2 + b^2 = c^2
a^2 + 4^2 = 5^2
a^2 = 25 - 16
a^2 = 9
a = 3
Therefore, the other side is 3cm
Answer:
Hypotenuse is the longest side in a triangle.
a^2=b^2+c^2.
5^2=4^2+c^2.
c^2=25-16.
c^2=9.
c=√9.
c=3cm.
Answers
Answer:
Volume = lwh
V = 1.6 x 2.8 x 3.2
V = 14.336
V = 14.3 cubed
Yellow is the right answer.
Answers
Answer:
Population of the city after 7 years from now, P(7) = 6370
Given:
Initial Population,
rate, r(t) = 1200 /yr
S(t) = [/tex]\frac{1}{1 + t}[/tex]
Step-by-step explanation:
Let the initial population be
The population after T years is given by the equation:
(1)
Thus, the population after 7 years from now is given by using eqn (1):
Answers
Answer:
- The values of x and y that minimize the function, subject to the given constraint are 6 and 8 respectively.
- The minimum value of the function = -44
Step-by-step explanation:
The Lagrange multiploer method finds the optimum value of a multivariable function subjected to a given constraint
It replaces the function with a Lagrange equivalent which is
L(x, y) = F(x, y) - λ C(x, y)
where λ Is the lagrange multiplier which can be a function of x and y
F(x, y) = x² - 10x + y² - 14y + 28
C(x, y) = x + y - 14
L(x, y) = x² - 10x + y² - 14y + 28 - λ (x + y - 14)
We now take the partial derivatives of the Lagrange function with respect to x, y and λ respecrively. Then solving to obtain values of x, y and λ that correspond to the minimum of the function. Since the first partial derivatives are all equal to 0 at minimum point.
(∂L/∂x) = 2x - 10 - λ = 0 (eqn 1)
(∂L/∂y) = 2y - 14 - λ = 0 (eqn 2)
(∂L/∂λ) = x + y - 14 = 0 (eqn 3)
Equating eqn 1 and 2
2x - 10 - λ = 2y - 14 - λ
2x - 10 = 2y - 14
2y = 2x - 10 + 14
2y = 2x + 4
y = x + 2 (eqn *)
Substitute eqn ^ into eqn 3
x + y - 14 = 0
x + x + 2 - 14 = 0
2x - 12 = 0
2x = 12
x = 6
y = x + 2 = 6 + 2 = 8
2x - 10 - λ = 0
12 - 10 - λ = 0
λ = 2
The values of x and y that minimize the function are 6 and 8 respectively.
F(x, y) = x² - 10x + y² - 14y + 28
At minimum point, x = 6, y = 8
F(x, y) = 6² - 10(6) + 8² - 14(8) + 28 = 36 - 60 + 64 - 112 + 28 = -44
Hope this Helps!!!