4.875 as a fraction is 4 7/8.
* Write decimal as a fraction by putting 1 as denominator, so 4.875/1
* Multiply numerator and denominator by 10 x 10 x 10 to get 4875/1000
* Simplify the fraction so it gets 39/8
* Turn into a mixed number and get 4 7/8
Answer:
sin
2
(
x
) ⋅ sin
2
(
x
) cos
2
(
x
) → sin
2 (
x
) tan 2
(
x
)
Step-by-step explanation:
Assuming tan = 2
(
x
)
−
sin
2
(
x
)
=
tan
2
(
x
)
sin
2
(
x
)
,
tart off by rewriting tan
2
(
x
) in to its sin
(
x
) and cos
(
x
) components.
sin
2
(
x
)
cos
2
(
x
)
−
sin
2
(
x
)
Next find a common denominator
(LCD:
cos
2
(
x
)⋅
1
) sin
2(
x
) cos
2
(
x
) ⋅ (
1
1
) − sin
2
(
x
) ⋅
cos
2
(
x
) cos
2
(
x
) → sin
2
(
x
) cos
2
(
x
) − sin
2
(
x
) cos
2
(
x
) cos
2
(
x
)
Combine in to a single fraction and factor out a
sin
2 (
x) . sin
2
(
x
) − sin
2
(
x
) cos
2
(
x
) cos
2
(
x
) → sin
2
(
x) ⋅ sin
2
(
x
)
cos
2
(
x
)
Finally just rewrite sin
2
(
x
) ⋅ sin
2
(
x
) cos
2
(
x
) → sin
2 (
x
) tan 2
(
x
)
The exponent is greater than 1 so it is exponential growth, 500 in the equation represents the initial value, and the growth rate in the second equation is 6%.
<h3>What is exponential decay?</h3>
During exponential decay, a quantity falls slowly at first before rapidly decreasing. The exponential decay formula is used to calculate population decline and can also be used to calculate half-life.
We have an exponential function:
a) As the base of the exponent is greater than 1 so it is exponential growth.
b) 500 in the equation represents the initial value.
c) We have another exponential equation:
For exponentikal gropwth:
1 + r = 1.6
r = 0.6 or
r = 6%
In the equation:
The number of bacteria initially was 500 and from the second the number of bacteria initially was 800.
Thus, the exponent is greater than 1 so it is exponential growth, 500 in the equation represents the initial value, and the growth rate in the second equation is 6%.
Learn more about exponential decay here:
brainly.com/question/14355665
#SPJ1
-2
7*-2= -14
-14+35 = 21 which can also mean 35-14 = 21