Answer:
The explicit form for this sequence is
for all
.
Step-by-step explanation:
The explicit form of an arithmetic sequence of numbers is given by the formula
, where
is the first term of the sequence,
is the difference between two consecutive terms of the sequence, and
.
We know that the first four elements for the arithmetic sequence are
.
To find the general formula for this problem we only need to calculate
in the above formula.
For n=2, we have

if we replace
and
and solve for
we obtain


Therefore the explicit form is
for all
.
Answer:
![\frac{\sqrt[3]{19} }{\sqrt[3]{x} }](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%5B3%5D%7B19%7D%20%7D%7B%5Csqrt%5B3%5D%7Bx%7D%20%7D)
So A is the answer
Step-by-step explanation:
![y=\frac{19}{x^3}\\\mathrm{Interchange\:the\:variables}\:x\:\mathrm{and}\:y\\x=\frac{19}{y^3}\\\mathrm{Solve}\:x=\frac{19}{y^3}\:\mathrm{for}\:y\\y=\sqrt[3]{\frac{19}{x}}\\\sqrt[3]{\frac{19}{x}}\\\frac{\sqrt[3]{19} }{\sqrt[3]{x} }](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B19%7D%7Bx%5E3%7D%5C%5C%5Cmathrm%7BInterchange%5C%3Athe%5C%3Avariables%7D%5C%3Ax%5C%3A%5Cmathrm%7Band%7D%5C%3Ay%5C%5Cx%3D%5Cfrac%7B19%7D%7By%5E3%7D%5C%5C%5Cmathrm%7BSolve%7D%5C%3Ax%3D%5Cfrac%7B19%7D%7By%5E3%7D%5C%3A%5Cmathrm%7Bfor%7D%5C%3Ay%5C%5Cy%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B19%7D%7Bx%7D%7D%5C%5C%5Csqrt%5B3%5D%7B%5Cfrac%7B19%7D%7Bx%7D%7D%5C%5C%5Cfrac%7B%5Csqrt%5B3%5D%7B19%7D%20%7D%7B%5Csqrt%5B3%5D%7Bx%7D%20%7D)
Answer:
A.Multiply both sides by 6. B.Add 2 to both sides. C.Change the direction of the inequality. D.Change the inequality to ≤.
1
Answer:
28.57%
Step-by-step explanation:
Answer: 2/7 in terms of percentage is written as 28.57% approximately.
Answer:
$5.40
Step-by-step explanation:
First, figure out the cost of the items with tax; for Tommy we have 20*0.08 = 1.6, add that 1.6 to the 20 and his purchase is $21.6, for John we have 25*0.08 = 2, add 2 to his 25 and his purchase is $27. To find the difference we subtract 27-21.6 = 5.4 or $5.40