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Law Incorporation [45]
3 years ago
9

Which series has a sum of 20?

Mathematics
1 answer:
alexandr402 [8]3 years ago
5 0

Answer:

  see below

Step-by-step explanation:

The sum of an infinite series with first term "a" and common ratio "r" is ...

  S = a/(1 -r) . . . . . for |r| < 1

Then the sums for the given answer choices are ...

  A: 5/(1 -3/4) = 20 . . . . . the answer of choice

  B: 4/(1 -5/6) = 24

  C: 4/(1 -1/5) = 5

  D: 10/(1 -1/5) = 12.5

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the answer is the 2nd, 3rd, and 4th ones

Step-by-step explanation:

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A weather balloon is 100,000 feet above sea level, and a submarine is 15,840 feet below sea level, drectly under the weather bal
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3 years ago
If (x + 2) is a factor of x3 − 6x2 + kx + 10, k =
ch4aika [34]

Answer:

The value of k is -11

Step-by-step explanation:

If (x+2) is a factor of x3 − 6x2 + kx + 10:

Then,

f(x)=x3 − 6x2 + kx + 10

f(-2)=0

f(-2)=(-2)³-6(-2)²+k(-2)+10=0

f(-2)= -8-6(4)-2k+10=0

f(-2)= -8-24-2k+10=0

Solve the like terms:

f(-2)=-2k-22=0

f(-2)=-2k=0+22

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Hence the value of k is -11....

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3 years ago
Which of the following is equivalent to 2 ln e^ln 5x = 2 ln 15?
neonofarm [45]

Answer:

x  = 3

Step-by-step explanation:

Given in the question an equation,

2lne^{ln5x}=2ln15

Step 1

e^{lnx}=x

so,

2ln(5x)=2ln15

Step 2

cancel 2 on both sides of the equation

ln{5x}=ln15

Step 3

ln{5x}-ln15=0

ln\frac{5x}{15}=0

Step 4

ln\frac{x}{3}=0

Step 5

e^{ln\frac{x}{3}}=e^{0}

Step 6

x/3 = 1

x = 3(1)

x = 3

8 0
3 years ago
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