<u>ANSWER</u>
, for , where is an integer.
<u>EXPLANATION</u>
We want to solve the trigonometric equation;
Since sine ratio is positive, it means the argument, is either the first quadrant or second quadrant.
This implies that;
in the first quadrant.
Or
in the second quadrant.
Since the sine function has a period of , The general solution is given by
,for , where is an integer.
Dividing through by 3, we obtain the final solution to be;
, for , where is an integer.
Answer:
, is inconsistent.
Step-by-step explanation:
Two linear equations are inconsistent when each group of coefficients associated with each variable have the same multiple and independent coefficients are different and have the same multiple. Since, the set of variables is , then the following condition must be observed:
(1)
(2)
(3)
(4)
Now we proceed to check each option:
Option 1: ,
(, , , )
, (This system is not inconsistent)
Option 2: ,
(, , , )
, (This system is not inconsistent)
Option 3: ,
(, , , )
, (This system is not inconsistent)
Option 4: ,
(, , , )
, (This system may be inconsistent)
(, )
(This system is inconsistent)
Answer:
A. No. B. 3
Step-by-step explanation:
A. The point is (4, 20) plug these into the equation with m being 2,
20=2(4)+8
20=8+8
20=16, this statement is not true, so m can't be 2.
B. 20=4m+8
-8 -8
12=4m divide by 4 on each side,
m=3
Answer:
numerator; 5.01×(10^5)= 5.01×100000
denomenator ; 7.8×(10^2)= 7.8×100
therefore : 501000/780
= 642.3077 answer
1.The temperature will be, T2= 169.8 K
2. The volume if the temperature is 318 K is 0.170 L
<h3>What is Charles Law?</h3>
Charles's law, a statement that the volume occupied by a fixed amount of gas is directly proportional to its absolute temperature, if the pressure remains constant.
Given: V1= 250 ml=0.25L
V2=150 ml= 0.15 L
T1= 10 °C=283 K, T2=?
Now using Charles law
V1/T1=V2/T2
0.25/283=0.15/T2
T2= 169.8 K
2. T1= 20 °C= 293 K
V1= 160 cm³
T2= 318 K
V2=?
Using Charles Law,
V1/T1=V2/T2
0.16/293=V2/313
0.170 L=V2
Learn more about charles law here:
brainly.com/question/16927784
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