Answer: The total change is 21.
Since you want to find the change from the lowest to highest, make it into a subtraction problem. First of all, take the smallest number in front of the largest.
20 -1
Next, add a minus sign in between, your equation should look like this:
20 - (-1) = x
Then, you cancel out the negative signs. After that you solve it
20 - (-1) -> 20 + 1.
Lastly, you add them together.
20 + 1 = 21.
In conclusion, the answer is 21.
Answer:
x = -3
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
5(x + 4) = -2(-4 - x) + 3
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute: 5x + 20 = 8 + 2x + 3
- Combine like terms: 5x + 20 = 2x + 11
- Subtract 2x on both sides: 3x + 20 = 11
- Subtract 20 on both sides: 3x = -9
- Divide 3 on both sides: x = -3
<u>Step 3: Check</u>
<em>Plug in x to verify it's a solution.</em>
- Substitute: 5(-3 + 4) = -2(-4 - -3) + 3
- Simplify: 5(-3 + 4) = -2(-4 + 3) + 3
- Add: 5(1) = -2(-1) + 3
- Multiply: 5 = 2 + 3
- Add: 5 = 5
Here we see that 5 does indeed equal 5. ∴ x = -3 is a solution of the equation.
And we have our final answer!
Answer:
Choice C
Step-by-step explanation:
f: initial value of 200 decreasing at a rate of 4%
g: initial value of 40 increasing at a rate of 8%
f is decreasing so it must go down starting at 200
That eliminates a and d
g is increasing and starts at 40 That eliminates a
We must look at b and c
g is increasing faster than f is decreasing
Choice C
Recall that the direction of a vector can be seen from its slope, namely b/a.
let's take a peek at a couple of vectors, and multiply them by a scalar of 2.
hmmm say < 3 , 7 > , it has a slope of 7/3, now if we use a scalar of 2
2<3,7> => < 6 , 14 >, now, the slope of that is 14/6 which simplifies to, yeap, you guessed it, to 7/3, no change in the slope.
and say hmmmm < 11 , -2 >, slope of -2/11, let's multiply it by 2
2<11,-2> => <22 , -4 >, slope is -4/22 which simplifies to -2/11.
so, the vector's magnitude gets blown up, but the slope remains the same.
Answer: 0.10
Step-by-step explanation: The type 2 error is committed when the alternative hypothesis is rejected when it should have been accepted causing the researcher to accept the null hypothesis which is false.
Power is the probability of avoiding a type 2 error. That is ;
Power = 1 - P(type 2 error)
Given that power = 0.90 ; P(type 2 error) = probability of committing a type 2 error.
P(type 2 error)' = 1 - P(type 2 error) = Probability of not committing or avoiding a type 2 error
0.90 = 1 - P(type 2 error)
P(type 2 error) = 1 - 0.90
P(type 2 error) = 0.10
