Answer:
J is midpoint
side FJ = side JH Def of midpoint
angle GJF = GJH perpendicular bisector both 90 degrees
JG=JG reflexive property
Therefore triangle FJG = HJG
Answer: The equation that describes proportional relationship is y = 0.75x
Constant of proportionality is 0.75
Step-by-step explanation:
4y = 3x
Divide both sides by 4 to get the value of y
y = 3x/4
12y = 9x
Divide both sides by 12 to get the value of y
y = 9x/12 divide the numerator and denominator by a common value of 3
y= 3x/4
y = 0.75x
The equation that describes proportional relationship is y = 0.75x, meaning y is inversely proportional to x, as x increases, y also increases.
Constant of proportionality is 0.75
I hope this helps.
Answer:
The records cost $5 and the tapes cost $7
Step-by-step explanation:
I think it 0.07 but dont count onmy answer
Answer:
a.
The sequence that you are summing is decreasing and its limit is zero, therefore it converges.
b.
You need to sum at least 6 terms to get that precision
Step-by-step explanation:
You want to determine the convergence of the series

Since.
1.
is a decreasing sequence
2. 
Therefore by the theorem of convergence for alternating series i is convergent.
To determine how many terms you need to add in order to find the sum with an error less than 0.00005 we use the estimation theorem for alternating series which states that for the n-error of an alternating series is upper bounded by the next term of the series. In math terms it looks like this.
Given

The error
satisfies that

For this problem, we are looking for an
such that

then, solving the inequality you get that
![n \geq \sqrt[5]{\frac{1}{3*0.00005}} = 5.818\\](https://tex.z-dn.net/?f=n%20%5Cgeq%20%5Csqrt%5B5%5D%7B%5Cfrac%7B1%7D%7B3%2A0.00005%7D%7D%20%20%3D%205.818%5C%5C)
Therefore you need to sum at least 6 terms to get that precision