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3 years ago

In how many ways can the letters in the word PAYMENT be arranged if the letters are taken 5 at a time?

2 answers:

4 0

This is a permutation problem in which you are to arrange the objects and the order doesn't matter. You can easily calculate it using your scientific calculator. Just use the formula nPr, where n is the total number of objects taken r at a time.

PAYMENT = 7 letters => 7P5 = 2520
There are 2,520 ways

For butterfly, its quite tricky because there are two letters. Oder does matter here, since no matter which t comes first, that is still the same. So, this is what you do:

BUTTERFLY = 9 letters
9P5 ÷ 2! => since there are two same letters
15120 ÷ 2 = 7560
There are 7560 ways.

LenKa [72]3 years ago

4 0

PAYMENT be arranged letters are taken 5 times then total 35 letters
BUTTERFLY be arranged letters are taken 5 times then total 45 letters

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In the 2004 Olympics, Adam won a gold medal in the men's 500 m kayak race, with a time of 1 min and 37.9 sec. He also won the br

Sedbober [7]

Answer:

The correct answer is Adam rowed faster in the men's 500-meter kayak race.

Step-by-step explanation:

To find the speed he rowed in both races, you need to divide the distance of the race by the time it took him to finish. In the first race, he rowed 500 meters and did it in a time of 1 minute 37.9 seconds, so the speed in that race would be $\frac{500}{97.9}$ or approximately 5.10725 meters per second. In the second race, Adam rowed a distance of 1000 meters and did it in a time of 3 minutes 28.2 seconds, which means his speed in that race would be $\frac{1000}{208.2}$ or approximately 4.80307 meters per second. Since his speed in the first race was faster than his speed in the second race, Adam rowed faster in the first race would be the correct answer.

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2 years ago

In a right triangle, angle φ has a tangent value of 1.40. The side adjacent to angle φ has a length of 9.0 inches. What is the l

charle [14.2K]

Answer:

b) 12.6 inches

Step-by-step explanation:

tangent is the ratio of the side opposite over adjacent, so if we let x= length of the opposite side, 1.40=x/9, x=12.6 inches

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3 years ago

I need help ASAP middle school work.

Arturiano [62]

Answer:

Step-by-step explanation:

For 11 1/2 gallons, he paid $36.80.

We need to find the cost per gallon.

First, converting 11 1/2 gallons to decimal, it is:

1/2 = 0.5

So, 11 1/2 is 11.5 gallons

So, Cost Per Gallon (last week) = $\frac{36.80}{11.5}=3.2$

There is 5% increase on this $3.20 per gallon. We find 5% of 3.2 and add it to 3.2 to find this week's cost per gallon.

5% = 5/100 = 0.05

0.05 * 3.20 = 0.16

So,

3.20 + 0.16 = $3.36 per gallon

Cost Per Gallon (this week) = $3.36

To buy 9 1/4 gallons it would take:

$3.36*9.25=31.08$

Note: 1/4 = 0.25, so 9 1/4 = 9.25

It would cost $31.08 to buy 9.25 gallons this week

Correct answer is B

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2 years ago

The explicit rule for a sequence is given. an=4n−1 What is the recursive rule for the sequence?

Gnom [1K]

Answer:

$a_{n+1}=a_n+4$

Step-by-step explanation:

Have in mind the definition of the term $a_n=4\,n-1$ , and now work on what the term $a_{n+1}$ is based on the previous definition:

$a_{n+1} = 4\,(n+1)-1\\a_{n+1}=4\,n+4-1$

In the next step do NOT combine the numerical values, but try to identify the $a_n$ term ( $4\,n-1$ ) in the expression (notice the use of square brackets to group the relevant terms):

$a_{n+1}=4\,n+4-1\\a_{n+1}=[4\,n-1]+4\\a_{n+1}=a_n+4$

So now we have the term " $a_{n+1}$ " defined in a recursive manner based on the previous term " $a_n$ "

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2 years ago

What is the value of x? ___cm

vodka [1.7K]

Answer:22

Step-by-step explanation: divide 46.2 by 14 to get 3.3 then divide 72.6 by 3.3 easy way but there is a harder one I just forgot lol

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3 years ago