Answer
e^c = 3
Step by step explanation
The general exponential equation is y = a^x, where "a" is the base and "x" is the exponent.
We are given c = ln 3
Here the base is "e"
e^c = e^ln 3
e^c = 3 [base "e" and "ln" get cancelled because they are inverse]
Therefore, the answer is e^c = 3
Hope you will understand the concept.
Thank you.
Cos10 cos20 -sin10 sin20 = cos(10+20) = cos30 = √3/2
582.74 square inches of glass is required to construct the tank
Step-by-step explanation:
Base dimensions= 22 x 12 inches
Volume of the fish tank = 3960 cubic inches
Volume = l x w x h
3960 = 22 x 12 x h
h = 3960 /(22 x 12)
h = 3960/462
h = 8.57 inches
The glass used = lateral surface area of the rectangular prism
= 2(lh + wl)
= 2(188.57 + 102.8)
= 2(291.37)
= 582.74 square inches
582.74 square inches of glass is required to construct the tank
Answer: 87.95
Step-by-step explanation: 10.3% of 853.93
10.3%= 0.103
So you would do 0.103 times 853.93=87.95479 round that to 2 Dp. You get 87.95
We know that
We can write an Arithmetic Sequence as a rule:
<span>an = a1 + d(n−1)</span>
where
<span>a1 = the first term
<span>d =the "common difference" between terms
in this problem
a1=15 a2=7 a3=-1 a4=-9 ..... an=-225
d=a2-a1
d=7-15-----> d=-8
</span></span>an = a1 + d(n−1)
for
an=-225
d=-8
a1=15
find n
-225=15+(-8)*(n-1)--> (n-1)=[-225-15]/-8----> n-1=30---> n=30+1---> n=31
the answer is31
