Answer:
see below
Step-by-step explanation:
The formula for the sum of an infinite geometric series with first term a1 and common ratio r (where |r| < 1) is ...
sum = a1/(1 -r)
Applying this to the given series, we get ...
a. sum = 5/(1 -3/4) = 5/(1/4) = 20
b. sum = d/(1 -1/t) = d/((t-1)/t) = dt/(t-1)
_____
The derivation of the above formula is in most texts on sequences and series. In general, you write an expression for the difference of the sum (S) and the product r·S. You find all terms of the series cancel except the first and last, and the last goes to zero in the limit, because r^∞ → 0 for |r| < 1. Hence you get ...
S -rS = a1
S = a1/(1 -r)
Answer:
0.05
Explanation:
Let x = the number
.05 = .1x
5/100 = (1/10)x Multiply both sides by 10.
5/10 = x
1/2 = x
Answer:
x=5
Step-by-step explanation:
for the work I use a website called symbolab.com and it does all the work and everything for you!
Equation (B) "y = 3x + 10" represents the growth of the puppy.
<h3>
What are equations?</h3>
- An equation is a mathematical formula where the "equal to" sign appears between two expressions having the same value.
- Like 3x plus 5 equals 15, for example.
- Different types of equations exist, such as linear, quadratic, cubic, and others.
- The three primary forms of linear equations are the slope-intercept form, standard form, and point-slope form.
So, the equation that represents the situation:
- The weight increase is: (10, 13, 16, 19, 22, 25)
- We can observe that every time, there is a rise of 3lbs of weight.
- Now, let 10 be a constant as the weight is starting from 10 lbs.
- And 'x' be the number of time Salomon tracks the weight.
Then:
For example, Salomon checks the weight for the 6th time then:
- y = 3x + 10
- y = 3(5) + 10
- y = 15 + 10
- y = 25
So, the equation is correct.
Therefore, equation (B) "y = 3x + 10" represents the growth of the puppy.
Know more about equations here:
brainly.com/question/28937794
#SPJ13
The correct question is given below:
Salomon tracks the weight of his new puppy every 2 weeks. She weighs 10 lbs the day he brings her home. His list for her first 6 "weighs" is as follows: (10, 13, 16, 19, 22, 25}
Which equation represents the growth of the puppy? Select one:
A. y = x + 3
B. y = 3x + 10
C. y = 10x + 3
D. y = x + 10
Answer:
a = 112
Step-by-step explanation:
Given that,
s = 7
b = 13
c = (-24)
Let's solve for a now.
Hope this helps you.
Let me know if you have any other questions :-)
