Answer:
(-7,-15)
Step-by-step explanation:
We can substitute first y in the second y. Both equations are also functions. We can merge the equations.
Substitute x = -7 in any given equations. I will choose the second equation to substitute in.
<u>Answer</u><u> </u><u>Check</u>
Substitute both x and y in both equations.
The equation is true for (-7,-15).
The second equation is true for (-7,-15).
Therefore our answer is (-7,-15)
We can use tan(x) = sin(x)/cos(x). Plug in numbers to get:
tan(x+pi/2) = sin(x+pi/2)/cos(x+pi/2)
Here, you can use the sin and cos addition identity:
tan(x+pi/2) = (sin(x)cos(pi/2)+cos(x)sin(pi/2))/(cos(x)cos(pi/2)+sin(x)sin(pi/2))
If you simplify this, you get:
0+cos(x)/0-sin(x)
Which is the definition of cot(x). But, we can't forget about the '-' sign, so, the answer is -cot(x)
Interest = PRT/100
I= 14000*0.12*3
I=5040
Add Interest to the Principal
14000 + 5040
= $19,040
A is the answer.
Answer:
Step-by-step explanation:
The Hypothesis :
H0 : σ = 10
H1 : σ ≠ 10
The Chisquare statistic, χ² ;
χ² = [(n-1) * s²] ÷ σ²
Sample size, n = 44 ; sample Standard deviation, s = 10.7 ; population standard deviation, σ = 10
χ² = [(44 - 1) * 10.7²] ÷ 10²
χ² = [43 * 114.49] ÷ 100
χ² = [4923.07] ÷ 100
χ² = 49.2307
Using the Pvalue from Chisquare calculator :
degree of freedom, df = n - 1 = 44 - 1 = 43
Pvalue = 0.238
