Answer:
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21,300 bc 813* 5=4,065 *25=101,625 *4=106,500 /5= 21,300
Answer:
x= 8.1353
x= 8.135 (rounded to the nearest tenth-thousandths)
x= 8.14 (rounded to the nearest thousandths)
x= 8.1 (rounded to the nearest tenth)
Step-by-step explanation:
<u><em>Note I am not 100% sure with my answer</em></u>
2 − ln (x − 8)= 4
−ln (x − 8) + 2= 4
−ln (x − 8) + 2 + −2= 4 + −2
−ln (x − 8)= 2
−ln (x − 8)/−1= 2/−1
ln (x − 8)= −2
<solve for the logarithm (ln)>
ln (x − 8)= −2
e^ln (x − 8)= e^−2
x − 8= e^−2
x − 8= 0.1353
x − 8 + 8= 0.1353 + 8
x= 8.1353
5y - 2x + 1 = 0.
5y = 2x-1.
y = 2/5 x - 2/5
this tells us that tan(theta) = 2/5
sin(theta)/sqrt(1-sin^2(theta)) = 2/5
x/sqrt(1-x^2)=2/5
x^2/(1-x^2)=4/25
25x^2=4-4x^2
29x^2=4
x^2=4/29
x = -2/sqrt(29) because quadrant III
cos(x) = sqrt(1-4/29) = -5/sqrt(29)
tan(theta)=2/5
cos(theta)=-5/sqrt(29)
sin(theta)=-2/sqrt(29)
cot(theta)=5/2
sec(theta)=-sqrt(29)/5
csc(theta)=-sqrt(29)/2
Answer:
The roots are 2, 5 and 6.
Step-by-step explanation:
As the last term is 60 we could see if one root is 2:
2^3 - 13(2)^2 + 52*2 - 60
= 8 - 52 + 104 - 60
= 112 - 112 = 0
So x = 2 is one root and x - 2 is a factor.
Long multiplication:
x - 2 (x^3 - 13x^2 + 52x - 60 ( x^2 - 11x + 30 <--- Quotient
x^3 - 2x^2
- 11 x^2 + 52x
- 11x^2 + 22x
30x - 60
30x - 60
So x^2 - 11x + 30 = 0
(x - 6)(x - 5) = 0
x = 6, 5.
