The 7th term of the sequence to the nearest thousandth is 223.949
<h3>What are geometric sequences?</h3>
These are sequence that increases in an exponential form.
The formula for calculating the nth term of a geometric sequence is expressed as:
Tn = ar^n-1
Given the following parameters
a = 75
r = 1.2
n = 7
Substitute the given parameter into the formula
T7 = 75(1.2)^6
T7 = 223.949
Hence the 7th term of the sequence to the nearest thousandth is 223.949
Learn more on geometric sequence here: brainly.com/question/9300199
Here is one way to solve for x.
Step 1) 2x^2-7=9
Step 2) 2x^2-7+7=9+7
Step 3) 2x^2=16
Step 4) (2x^2)/2=16/2
Step 5) x^2=8
Step 6) sqrt(x^2)=sqrt(8)
Step 7) |x|=sqrt(8)
Step 8) x=sqrt(8) or x=-sqrt(8)
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Below are explanations/reasons to each of the steps above.
Step 1) Original equation
Step 2) Add 7 to both sides
Step 3) Combine like terms
Step 4) Divide both sides by 2
Step 5) Simplify
Step 6) Apply the square root to both sides. The notation "sqrt" is shorthand for "square root"
Step 7) Use the rule that sqrt(x^2) = |x| for all real numbers x
Step 8) Use the rule that if |x| = k then x = k or x = -k for some fixed number k.
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The two solutions are
x = sqrt(8) or x = -sqrt(8)
Answer:
3/7
Step-by-step explanation:
2
4
1
3
equals 3 over 7= 3/7
I hope this helps you
Answer:
6.3
Step-by-step explanation:
Answer:
r = 7t
or not mathematically,
r(t) = 7t
r(t) means, r, which is a function of t.
Step-by-step explanation:
Initial size of the radius = 0 cm, at t = 0 s
Rate of increase of the radius of the circle = 7 cm/s
dr/dt = 7
dr = 7 dt
∫ dr = 7 ∫ dt
r = 7t + C (C is the constant of integration)
At t = 0, r = 0,
0 = 0 + C
C = 0
r = 7t.
r(t) = 7t
