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3 years ago

Find the term to term rules for the following sequences: 2, 6, 18, 54, 162

2 answers:

6 0

The term rules for the following sequences is that you multiply each number by 3! Hope this helps and please mark brainliest :)

Norma-Jean [14]3 years ago

6 0

Step-by-step explanation:

U=ar^(n-1)

r=6/2=3

a=2

U=2(3)^n-1=6^n-1

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A bag contains 20 slips of paper Individually numbered. If a slip of paper and a letter in the word PENNSYLVANIA is chosen at ra

Soloha48 [4]

Answer:

$P(M4\ n\ V) = 2.083\%$

Step-by-step explanation:

Given

Paper = 20 slips

Word: PENNSYLVANIA

Required

Determine P(Multiple of 4 and V)

The sample size of the 20 slips is:

$n(S) = 20$

The outcomes of multiples of 4 is:

$M4= \{4,8,12,16,20\}$

$n(M4) = 5$

So, the probability of multiples of 4 is:

$Pr(M4) = \frac{5}{20}$

$Pr(M4) = \frac{1}{4}$

The sample size of PENNSYLVANIA is:

$n(S) = 12$

The outcome of V is:

$n(V) = 1$

So, the probability of V is:

$P(V) = \frac{1}{12}$

So, the required probability is: P(Multiple of 4 and V)

$P(M4\ n\ V) = P(M4) * P(V)$

$P(M4\ n\ V) = \frac{1}{4} * \frac{1}{12}$

$P(M4\ n\ V) = \frac{1}{48}$

$P(M4\ n\ V) = 0.02083$

Express as percentage

$P(M4\ n\ V) = 0.02083 * 100\%$

$P(M4\ n\ V) = 2.083\%$

4 0

3 years ago

In his boat, Sheldon can travel 45 mi downstream in the same time that it takes to travel 9 mi upstream. If the rate of the curr

Nataliya [291]

Answer:

9 mph

Step-by-step explanation:

-let x be the speed of current and t be time. The speed equation for both directions can then be represented as:

$Speed=\frac{Distance}{Time}\\\\\#Upstream\\(u-6)t=9\\\\\#Donwstream\\\\(u+6)t=45$

#Since t is equal in both, we can do away with t.

#We the divide the downstream equation by the upstream equation as:

$\frac{u+6}{u-6}=\frac{45}{9}\\\\(u+6)=5(u-6)\\\\u+6=5u-30\\\\4u=36\\\\u=9$

Hence, the boat's speed in still water is 9 mph

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3 years ago

The scale drawing of a room in a hotel is shown below. If 3 in. = 12 ft, what are the actual dimensions of the room?

rjkz [21]

Answer:

B length = 60 feet, width = 45 feet

Step-by-step explanation:

If you divide the scale drawing (15 in) by length by the scale of of the same dimension (3 in) and multiply what you get (5) by what the larger scale is (12 ft) you get the answer (60 ft)

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3 years ago

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zhuklara [117]

Answer:

Boruto is freaking adorable but I think all of them are cute UnU

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2 years ago

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r-ruslan [8.4K]

Answer:

7920 yards

Step-by-step explanation:

just use a calculator next time. Do miles to yards converter in :)

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