Answer: Independent Variable
Step-by-step explanation:
The independent (or manipulated) variable is something that the experimenter purposely changes or varies over the course of the investigation. The dependent (or responding) variable is the one that is observed and likely changes in response to the independent variable.
Answer:
$36
Step-by-step explanation:
Given :
Interest rate, r = 8% = 0.08
Principal, P = 150
Time, t = 3 years
Simple interest = (principal * rate * time)
Simple interest = (150 * 0.08 * 3)
Simple interest = $36
Answer:
Exponential form: y = x^½
Step-by-step explanation:
Given

Required:
The exponential form
To convert to an exponential function, we have to take exponents of both sides using the base of the logarithm function.
This gives us

Since the base of the exponential function and the logarithm is the same (x), they'll cancel out one another
This leaves us with

Hence, the exponential form of the expression
is 
Answer:
1. Slope = -4/5
2. Slope = 2/3
3. Slope = 0
4. Slope = 3/-4
5. Slope = 7/-12
6. Slope = 1/2
7. Slope = -2/0 --> Undefined
8. Slope = 3/-2
9. Slope = 5/-4
10. Slope = 4/3
Step-by-step explanation:
Ok so I'm assuming that you want the slope for all the two points. Basically, the formula for slope is rise/run, or y2-y1/x2-x1. Solve using that. For example, for number 1, it would be:
10-2/1-11 = 8/-10 = -4/5
The value of x from the given diagram is 17
<h2>Vertically opposite angles</h2>
From the given diagram, m<2 and m<3 are vertically opposite since they form angles from the intersection of lines at the point X
Given that;
- m<2 = 4x + 2
- m<3 = 5x - 15
Equate both expressions to have:
m<2 = m<3
4x + 2 = 5x - 15
4x - 5x = -15 - 2
-x = -17
x = 17
Hence the value of x from the given diagram is 17.
Learn more on vertical angles here; brainly.com/question/1673457