Answer:
0.015 radians per second.
Step-by-step explanation:
They tell us that at the moment the speed would be 6 ft / s, that is, dx / dt = 6 and those who ask us is dθ / dt.
Which we can calculate in the following way:
θ = arc sin 100/200 = pi / 6
Then we have the following equation of the attached image:
x / 100 = cot θ
we derive and we are left:
(1/100) * dx / dt = - (csc ^ 2) * θ * dθ / dt
dθ / dt = 0.01 * dx / dt / (- csc ^ 2 θ)
dθ / dt = 0.01 * 6 / (- csc ^ 2 pi / 6)
dθ / dt = 0.06 / (-2) ^ 2
dθ / dt = -0.015
So there is a decreasing at 0.015 radians per second.
Answer:
You will need 3 cups peanut butter to make 36 dogs treats.
Peanut butter Cup : The dog treats made = 1: 12
Step-by-step explanation:
12 dog treats = 1 cup
So, by UNITARY METHOD
1 dog treat = (1/12) cup
So, 36 dog treats = 36 x (1/12) cup = 3 cups
So, you will need 3 cups peanut butter to make 36 dogs treats.
If 1 cup = 12 Dog Treats
then 1 x 3 cup = 12 x 3 dog treats
or, 3 Cups = 36 dog treats
The ratio of the Peanut butter cup : The dog treats made = 1: 12
Answer:
iomnjiujjii
Step-by-step explanation:
lio;
The fare of $(20 - 2.5) = $17.5 will maximize the total fare.
<h3>What is Differentiation?</h3>
Differentiation means the rate of change of one quantity with respect to another. The speed is calculated as the rate of change of distance with respect to time.
Here, The operator for a round-trip fare of $20, carries an average of 500 people per day.
It is estimated that 20 fewer people will take the trip, for each $1 increase in fare.
for $x increase in fare, 20x less people will take the trip and at that time the total fare F is given by
f(x) =(20 + x)(500 - 20x)
f (x) = 10000 + 100x - 20x²
For f(x) to be maximum, the condition is dy/dx = 0
100 - 40x = 0
⇒ x = 2.5
Thus, the fare of $(20 - 2.5) = $17.5 will maximize the total fare.
Learn more about Differentiation from:
brainly.com/question/24062595
#SPJ1
Answer:
correct answer is 406/25+a10
Step-by-step explanation:
