Answer:
The container holds 4.5 cups of yogurt
Step-by-step explanation:
Here, given the number of ounces of yogurt in a container, we want to calculate the number of cups the container can hold
Mathematically, we need a conversion factor
1 cup contains 8 ounces
but here
x cups contains 36 ounces
8 * x= 36 * 1
8x = 36
x = 36/8
x = 4.5
Answer:
4x - 7
Step-by-step explanation:
We can simplify this expression by subtracting the binomial (a bracket with two terms) and collecting like terms (numbers with the same variable).
When subtracting a binomial, are actually multiplying each term in the binomial by negative one.
7x -(7 + 3x)
= 7x -1(7 + 3x) Distribute -1 to each of the numbers
= 7x + (7*(-1) + 3x*(-1)) Multiply
= 7x + (-7 - 3x) Get rid of the brackets.
= 7x - 7 - 3x Combine like terms
= 4x - 7 Simplified expression
Answer:
The product is 25
Step-by-step explanation:
we know that
The complex number z1 is equal to
z1=(-4-3i)
we know that
To find the complex conjugate of (-4 - 3i) we change the sign of the imaginary part
so
The conjugate is equal to (-4+3i)
therefore

For convenience sake, I will be omitting the arguments of the trig functions.
- cos²/sin² + (cos)/(sin)
- = cos²/sin² + (cos sin)/sin²
- = (cos² + cos sin)/(sin²)