<h3>
Answer: -133</h3>
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Work Shown:
p-q = -7
(p-q)^2 = (-7)^2
p^2-2pq+q^2 = 49
p^2-2(-10)+q^2 = 49
p^2+20+q^2 = 49
p^2+q^2 = 49-20
p^2+q^2 = 29
By the difference of cubes formula, we can say,
p^3 - q^3 = (p-q)*(p^2+pq+q^2)
p^3 - q^3 = (p-q)*(p^2+q^2+pq)
p^3 - q^3 = (-7)*(29-10)
p^3 - q^3 = -133
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Here's another way to solve:
p-q = -7
p = q-7
pq = -10
(q-7)*q = -10
q^2-7q = -10
q^2-7q+10 = 0
(q-5)(q-2) = 0
q-5 = 0 or q-2 = 0
q = 5 or q = 2
If q = 5, then p = q-7 = 5-7 = -2
If q = 2, then p = q-7 = 2-7 = -5
We can see that no matter what we pick for q, we'll get p*q = -10
Also, you should find that p^3-q^3 is equal to -133 for either case as well.
Answer: 96 m²
Step-by-step explanation: Surface area is the sum of the areas of all of the faces of a 3-dimensional figure.
So to find the surface area of a cube, it's important to understand that each face of a cube has the same area so we can simply find the area of one face of a cube and multiply by the number of faces which is 6.
To find the area of one face of a cube, we can use the formula for the area of a square which is S².
Since the length of a side is 4 meters, we have (4 m)² or 4 meters x 4 meters which is 16 m².
Now, since there are six sides to a cube, we have 6 (16 m)² which is equal to 96 m². So the surface area of the cube is 96 m².
Based on the information given, it should be noted that we will have an omitted variable bias, therefore, it's true.
<h3>What is an omitted variable?</h3>
An omitted variable simply occurs when a statistical model that occurs when one or more relevant variable is left out.
It should be noted that we will have omitted variable bias if we leave out a RHS variable that affects the LHS variable, even in a situation where there is no correlation between the omitted RHS variable and the included RHS variables.
For omitted variable bias to occur, it should be noted that the omitted variable will be correlated with the included regressor.
Learn more about omitted variable on:
brainly.com/question/10912873
Angle AEB and angle CED are vertical angles, this means they equal each other, therefore we set their values as an equation and solve:
5x-10=3x+40
Subtract 3x to both sides
2x-10=40
Add 10 to both sides
2x=50
Divide both sides by 2
x=25
After we have gotten the value of x we can plug it in into the equation of angle AEB:
5x-10
Substitute x by 25
5(25)-10
Distribute
125-10
Substract
115
The measurement of angle AEB is 115
Hope it helped!, have a great day.
Answer:
40%
Step-by-step explanation:
First you take $19 - $65 to get $26
Then: 26 ×100= 2600÷ 65= 40%
