C is the answer you are looking for.
Answer:
Paul should give 18 teaspoons of medicine to his dog.
Step-by-step explanation:
It is stated in the question that for every 12 pounds, 3 teaspoons of medicine is to be given to the dog.
This implies that:
12 pounds = 3 teaspoons
1 pound = 3/12 teaspoons
= 1/4 teaspoons <em> ( by cross multiplication )</em>
<em />
<h3>72 pounds = 1/4 * 72 teaspoons</h3><h3> = 18 teaspoons</h3><h3 />
Hence, Paul should add 18 teaspoons of medicine to his dog's food.
Answer:
x = -1, and y = -2, giving you the answer (-1, -2)
Step-by-step explanation:
In the second equation, we're told that y is equal to 2x. With that, we can replace "y" in the first one with "2x", giving us:
-4x - 2x = 6
-6x = 6
x = -1
Now that we know the value of x, we can simply plug it into the first equation to find y:
-4x - y = 6
-4(-1) - y = 6
4 - y = 6
-4 + y = -6
y = -6 + 4
y = -2
So x = -1, and y = -2
The initial measure is:
m1 = 28 ft
The real measure must be:
m2 = 14 ft
The correct procedure to determine the scale factor is:
Dividing both numbers between 14 we have:
Rewriting:
Answer:
Zelie should have divided both numbers by 14.
The equation in spherical coordinates will be a constant, as we are describing a spherical shell.
r(φ, θ) = 8 units.
<h3>
How to rewrite the equation in spherical coordinates?</h3>
The equation:
x^2 + y^2 + z^2 = R^2
Defines a sphere of radius R.
Then the equation:
x^2 + y^2 + z^2 = 64
Defines a sphere of radius √64 = 8.
Then we will have that the radius is a constant for any given angle, then we can write r, the radius, as a constant function of θ and φ, the equation will be:
r(φ, θ) = 8 units.
If you want to learn more about spheres, you can read:
brainly.com/question/10171109
