Answer:
6
x
^2
−
5
x
y
−
4
y
^2
Step-by-step explanation:
Expand
(
2
x
+
y
)
(3
x
−
4
y
)
using the FOIL Method.
Apply the distributive property.
2
x
(
3
x
−
4
y
)
+
y
(
3
x
−
4
y
)
Apply the distributive property.
2
x
(
3
x
)+
2
x
(−
4
y
)
+
y
(
3x
−
4
y
)
Apply the distributive property.
2
x
(
3
x
)
+
2
x(
−
4
y
)
+
y
(
3
x)
+
y
(
−4
y
)
Simplify and combine like terms.
6
x
^2
−
5
x
y
−
4^
2
Answer:
33
Step-by-step explanation:
2³=8
5²=25
8+25=33.
so, 2³+5²=33
In a bag there are 3 red, 3 yellow, 4 green, and 6 blue marbles. What is the probability of p ( blue ) ?
Answer:
49.7%
Step-by-step explanation:
A cdircle is located within a square.
<u>Area of the circle</u>
Area = 
, where r = 4 units.
Area Circle = 50.3 units^2
<u>Area of the square</u>
Area = l*w or l^2 for a square, since l = w
Area = (10 units)^2
Area = 100 units^2
<u>Area in the square but outside the circle</u>
This is the difference [Square minus Circle Areas]
Square minus Circle Areas = 100 - 50.3 or <u>49.7 units^2</u>
<u>Probability</u>
The probability of picking a point in the square that is not in the circle is the ration of the two areas: <u>[Outside Circle/Square]x100%</u>
<u></u>
<u>(</u>49.7 units^2)/(100 units^2)x100% = 49.7%
<u></u>
Answer: independent variables cause the effect measured in the dependent variables
Step-by-step explanation: In a causal - comparative study, the dependent variables refers to the variable whose changes is being measured or observed. The changes or alteration of the dependent variable is induced by the different values of the independent variable. In causal - comparative study, the different independent variables is assumed to have a direct impact on the output or values of the dependent variable which is measured by the experimenter. Therefore, the independent variable does not change, but causes the observed changes noticed in the dependent variable.
