Compute $\frac{3}{4}\cdot \frac{8}{9}\cdot \frac{15}{16}\cdot \frac{24}{25}\cdot \frac{35}{36}\cdot \frac{48}{49}\cdot \frac{63}{64}\cdot \frac{80}{81}\cdot \frac{99}{100}$. Express your answer in the simplest way possible.


(Suggestion: First, try computing $\frac{3}{4}\cdot \frac{8}{9},$ then $\frac{3}{4}\cdot \frac{8}{9}\cdot \frac{15}{16},$ and so on. Look for patterns.)

Answers

Answer 1

Answer:

[tex] \sf\frac{3}{4}\cdot \frac{8}{9}\cdot \frac{15}{16}\cdot \frac{24}{25}\cdot \frac{35}{36}\cdot \frac{48}{49}\cdot \frac{63}{64}\cdot \frac{80}{81}\cdot \frac{99}{100} \\ \implies \sf \frac{3 \times 8 \times 15 \times 24 \times 35 \times 48 \times 63 \times 80 \times 99}{4 \times 9 \times 16 \times 25 \times 49 \times 64 \times 81 \times 100} \\ \implies \sf \frac{7333035494400}{11732856791040} \ \sf \\ \implies \sf \: 0.625[/tex]


Related Questions

what’s the LCM for 22, 44 show your work

Answers

The Lowest common multiple of 22 and 44 would be 22 because each of the numbers are divisible by it. So 22 / 22 = 1 and 44 / 22 = 2

In each triangle below, name the type of line segment that CD is.

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there is no picture?

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The equation for a line is y = mx + b. where m is the slope and b is the y intercept.

The slope is -1/3 (rise: 1, run: -3)

And the y-intercept is at -4.

So the equation for the line is:

y = -1/3x - 4

And we want all the y values BELOW the line of -1/3x - 4 as well as the values on the line because it’s not dotted. So instead of equals we write:

y <= -1/3x - 4

“Y is less than or equals to -1/3x - 4” where it includes the solutions on the line, as well as any solutions below it.

y <= -1/3x - 4 is the answer

The entry price to the museum is $18.
This price is increased by 28%.
Find the increased entry price.

Answers

Answer: $23.04

Explanation: 18 x 0.28 = 5.04
$18 + $5.04 = $23.04

Given the function h(x) = 7 + 2x, find the value of h(6)

Answers

Answ 21?

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

The value of h(6) can be found by substituting 6 into the given equation where x is.

h(6)=7+2(6)=7+12=19

14. slope = -1; through (-3,5)

Answers

slope m = diffy/diffx = (14-5)/(6-3) = 9/3 m = 3. Then here's an example. Write the equation of a line that passes through the given point

1 pts
Graph the linear function y +8 = 2(x + 2)
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o
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(014)

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Answer: In the picture

please give me a brainliest answer

Ken bought a new car and had to borrow $6,500 from the bank. The bank charged
Ken 3.7% in simple interest for the 5 years Ken had the bank loan. What's the total
amount Ken will have to repay the bank?

Answers

Answer: 65005.037

Step-by-step explanation:

I=?

P=6,500

R=037

T=5 years

 I=  6,500+037+5= 65005.037

Which expression is equivalent to m-2m-6m?

Answers

Answer:

Which expression is equivalent to m-2m-6m?

if this is correct can i have brainliest

May I please receive help?

Answers

Answer:

m<1=47 and m<2=29

Step-by-step explanation:

Multiply.

2.5(-4)





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Answers

Answer:

x = 5/8 = 0.625

Step-by-step explanation:

what is 1>x346+X=123=

Answers

Answer:

1>x^346+X=123

x-7= -3(x+1) over 5

What is x?

Answers

Answer is x=4. Multiply by 5 on each side to cancel out the denominator.
5x-35=-3x-3
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the difference between 4/9 of a number and seven is five

Answers

Answer:

if x is the number

4/9x - 7=5

4/9x= 7+5

4/9x= 12

x= 12×9/4

x= 108/4

x=27

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Answers

Answer:

4/21

Step-by-step explanation:

Hope this helps

PLEASEEEEE HEELP MEEEE DO THIS WORK THANK U!

Answers

Answer:

There are no solutions.

Step-by-step explanation:

Put it in an equation

x + 5 = x − 13

Let's solve your equation step-by-step.

x + 5 = x − 13

Step 1: Subtract x from both sides.

x + 5 − x = x − 13 − x

5 = − 13

Step 2: Subtract 5 from both sides.

5 − 5 = − 13 − 5

0 = − 18

Answer:

There are no solutions.

A skyscraper has 49 floors there are 26 offices on each of the bottom 31 fours the top 18 floors each have 38 officers about how many officers are there in the sky scraper all together

Answers

Answer:

903 offices

Step-by-step explanation:

Total number of officers in the sky scraper

= 26 + 31 + [(49-2)×18]

= 26 + 31 + 846

= 903 offices

A swimming pool holds 600,000 liters of water. The pool has two drainage pipes. When the pool is completely full, the first pipe alone can empty it in 200
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Answers

Answer:

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Step-by-step explanation:

WILL GIVE BRAINLIEST. determine the rule for the table and complete it.

Answers

Answer:

see explanation

Step-by-step explanation:

From the table

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2 → - 1 ⇒ 2 - 3

3 → 0 ⇒ 3 - 3

The rule is subtract 3 from the input to obtain output , then

4 → 4 - 3 = 1

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Andrew is hiking in a mountainous area of a state park. Use the given key features to sketch a graph.
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Extrema: Andrew's maximum elevation is 800 feet.
Increasing: At the start of the hike, Andrew's elevation increases steadily for 30 minutes. Then he stops to rest for 5 minutes.
Decreasing: Andrew hikes back to his starting point for the final 20 minutes.​

Answers

Using the features, a piece-wise function is defined, and the graph is sketched at the end of this answer.

A piece-wise function is a function that has multiple definitions, depending on the value of the input.

He starts at 0 feet, and reaches a maximum elevation of 800 feet in 30 minutes, with a steady(linear) increase thus, for the first 30 minutes, the definition is:

[tex]h(t) = \frac{800}{30}t, 0 \leq t < 30[/tex]

For the next 5 minutes, he stops to rest, at the maximum elevation of 800 feet, thus, the definition is:

[tex]h(t) = 800, 30 \leq t < 35[/tex]

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Using these definitions, the graph is sketched at the end of this answer.

A similar problem is given at https://brainly.com/question/13205719

which of the tables represents a function?

Answers

the answer is table d !! good luck :)

Convert each of the following fractions into a decimals

Answers

a) .25

b) .6

c) .875

d) 3.3125

e) .06

f) 19.425

*
-12 -10 8 6 4 2 0 2 4 6 8 10 12
Which division problem is modeled on the number line?
012-3
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0-12 =-4
124

Answers

the correct answer is b :)

what is the difference between the independent, dependent, predictor, outcome, response variables?

Answers

The outcome variable is also called the response or dependent variable, and the risk factors and confounders are called the predictors, or explanatory or independent variables. In regression analysis, the dependent variable is denoted "Y" and the independent variables are denoted by "X".

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Answers

Answer:

not possible

........................................

A hardware store is having a clearance sale where everything is 61% off. If the regular price of a saw is $287,
approximately how much will be taken off the regular price?

Answers

Answer:

$175.07 will be taken off

Step-by-step explanation:

287x61/100

17507/100

175.07

What is the slope of the line passing through the points (8, 9) and (-2, 9)?

Answers

there is the answer

Answer:

Slope is 0

Step-by-step explanation:

First, find the difference in the x and y of each point by subtraction.

8 - (-2) = 10

9 - 9 = 0

Because the y value doesn't change in between these two points, that indicates the slope is 0

A box contains plain pencils and 7 pens. A second box contains 6 colored pencils and 2 crayons. One item from each box is chosen at random. What is the probability that a plain pencil from the first box and a color pencil from the second box are selected? Write your answer as a fraction.

Answers

Answer:

it is 3 as a simplified fraction

Step-by-step explanation:

BOX 1) 5 plain pencils and 7 pens.  

BOX 2) 6 color pencils and 2 crayons.  

Plain pencil (first box) ~  5 : 7  

Color pencil (second box) ~ 6 : 2  

Simplify.  

3 : 1   <== Second box

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Answers

Answer:

- 3/4 feet per hour

Step-by-step explanation:

Rate of change is the slope.

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Points:

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q
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Answers

Answer:

x = [tex]\frac{y}{pq}[/tex]

Step-by-step explanation:

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