If the diameter is 1/2 mile, that is 0.5 mile, then the radius is 0.25 -half of it!
the angular speed is theta/time, which means
w=theta/time
but another formula for it is Velocity*radians
w=velocity*radians
velocity is 180 mph and radians are (revolution/2
radius), that is:
w=180*(1/2
*0.25)
and if we calculate this, we have: w=114.59, which is the correct answer!
Complete Question
A dog weighs 2 pounds less than 3 times the weight of a cat. The dog weighs twenty two more pounds than the cat.
Write and solve an equation to find the weights of the cat and the dog.
Answer:
Weight of cat = x = 12 pounds
Weight of Dog = y = 34 pounds
Step-by-step explanation:
Let's represent:
Weight of cat = x
Weight of Dog = y
A dog weighs 2 pounds less than 3 times the weight of a cat.
y = 3x - 2........ Equation 1
The dog weighs twenty two more pounds than the cat
y = x + 22....... Equation 2
The equation is given as:
y = y
3x - 2 = x + 22
Collect like terms
3x - x = 22 + 2
2x = 24
x = 24/2
x = 12 pounds
Solving for y using any of the equations:
y = 3x - 2
y = 3 × 12 - 2
y = 36 - 2
y = 34 pounds
Therefore:
Weight of cat = x = 12 pounds
Weight of Dog = y = 34 pounds
Answer:
<h2>
The mean decreases, and the median remains the same.</h2>
Step-by-step explanation:
Remember that a box plot is made by the quartiles of the distribution, the maximum value and the minimum value. So, from a box plot we can deduct the range, the median and the interquartile range.
In this case, the median remains the same at $9.5 per hour. The median is indicated by the middle line of the box, and you can observe that it doesn't change.
Now, the range of the data set decreases from 7 to 3.
On the other hand, the mean must decrease, because data greater than $11 doesn't exist in the box plot number 2, and the mean is a central measure sensible to those changes.
Therefore, the right answer is <em>The mean decreases, and the median remains the same.</em>
29.57 mL = 1 onzas
3 * 8.4 onzas = 25.2 onzas
29.57 mL * 25.2 onzas = 745.164 mL onzas
b) 745.1 mL Onzas
Answer:
Step-by-step explanation:
Solving
5x + -2y = 12
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '2y' to each side of the equation.
5x + -2y + 2y = 12 + 2y
Combine like terms: -2y + 2y = 0
5x + 0 = 12 + 2y
5x = 12 + 2y
Divide each side by '5'.
x = 2.4 + 0.4y
Simplifying
x = 2.4 + 0.4y
