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MAVERICK [17]
2 years ago
11

Substitution Property of Equality: If AB = 20, then AB + CD

Mathematics
1 answer:
otez555 [7]2 years ago
5 0

Answer:

CD + 20

Step-by-step explanation:

If AB = 20, then AB + CD = 20 + CD

Answer: CD + 20

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Find the slope (m) and y-intercept (b) of each representation be
scoray [572]

Answer:

m= -2

b = 3

Step-by-step explanation:

Take two points from line.

(0,3) and (1,1)

now slope(m) = (1-3)/(1-0)

m = -2

now

y = mx+b

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Geometric Series assistance
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we have been asked to find the sum of the series

\sum _{n=1}^5\left(\frac{1}{3}\right)^{n-1}

As we know that a geometric series has a constant ratio "r" and it is defined as

r=\frac{a_{n+1}}{a_n}=\frac{\left(\frac{1}{3}\right)^{\left(n+1\right)-1}}{\left(\frac{1}{3}\right)^{n-1}}=\frac{1}{3}

The first term of the series is a_1=\left(\frac{1}{3}\right)^{1-1}=1

Geometric series sum formula is

S_n=a_1\frac{1-r^n}{1-r}

Plugin the values we get

S_5=1\cdot \frac{1-\left(\frac{1}{3}\right)^5}{1-\frac{1}{3}}

On simplification we get

S_5=\frac{121}{81}

Hence the sum of the given series is \frac{121}{81}

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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