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nekit [7.7K]
3 years ago
12

Write the next 3 numbers in this pattern. Then describe the rule for this pattern in an nth expression.

Mathematics
1 answer:
hram777 [196]3 years ago
8 0

Answer:

An=10^n + 1 is the expression for the nth term.

Next three terms:

100001

1000001

10000001

Step-by-step explanation:

The number ot 0's imcrease between the two 1's starting at no zeros, 1 zero, two zeros, and so on...

So the next terms are 100001, 1000001, 10000001 and that's without finding the formula.

Now let's find the formula:

A1=11=10+1

A2=101=100+1

A3=1001=1000+1

Notice we have increasing powers of 10 and then just adding 1.

A1=10^1 +1

A2=10^2 +1

A3=10^3 +1

....

An=10^n +1

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A rectangular parking lot must have a perimeter of 440 feet and an area of at least 8000 square feet. Describe the possible leng
tangare [24]

Answer:

The possible parking lengths are 45.96 feet and 174.031 feet

Step-by-step explanation:

Let x be the length of rectangular plot and y be the breadth of rectangular plot

A rectangular parking lot must have a perimeter of 440 feet

Perimeter of rectangular plot =2(l+b)=2(x+y)=440

2(x+y)=440

x+y=220

y=220-x

We are also given that an area of at least 8000 square feet.

So, xy \leq 8000

So,x(220-x) \leq 8000

220x-x^2 \leq 8000

So,220x-x^2 = 8000\\-x^2+220x-8000=0

General quadratic equation : ax^2+bx+c=0

Formula : x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}

x=\frac{-220 \pm \sqrt{220^2-4(-1)(-8000)}}{2(-1)}\\x=\frac{-220 + \sqrt{220^2-4(-1)(-8000)}}{2(-1)} , \frac{-220 - \sqrt{220^2-4(-1)(-8000)}}{2(-1)}\\x=45.96,174.031

So, The possible parking lengths are 45.96 feet and 174.031 feet

3 0
3 years ago
What is 6.27 divided by 1000?
Effectus [21]

Answer:

0.00627 :)

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
If 1 US dollars can be exchanged for 0.55 Euros, how many Euros can be obtained when exchanging 47 U.S. dollars?
Zinaida [17]

Answer:

25.85 Euros

Step-by-step explanation:

1 US dollar = 0.55 Euros

0.55 x 47 = 25.85 Euros

Hope this helped :)

8 0
3 years ago
Read 2 more answers
Does anyone know the answer to this ?
melamori03 [73]

Answer:

1595 ft^2

Step-by-step explanation:

The answer is obtained by adding the areas of sectors of several circles.

1. Think of the rope being vertical going up from the corner where it is tied. It goes up along the 10-ft side. Now think of the length of the rope being a radius of a circle, rotate it counterclockwise until it is horizontal and is on top of the bottom 20-ft side. That area is 3/4 of a circle of radius 24.5 ft.

2. With the rope in this position, along the bottom 20-ft side, 4.5 ft of the rope stick out the right side of the barn. That amount if rope allows for a 1/4 circle of 4.5-ft radius on the right side of the barn.

3. With the rope in the position of 1. above, vertical and along the 10-ft left side, 14.5 ft of rope extend past the barn's 10-ft left wall. That extra 14.5 ft of rope are now the radius of a 1/4 circle along the upper 20-ft wall.

The area is the sum of the areas described above in numbers 1., 2., and 3.

total area = area 1 + area 2 + area 3

area of circle = (pi)r^2

total area = 3/4 * (pi)(24.5 ft)^2 + 1/4 * (pi)(4.5 ft)^2 + 1/4 * (pi)(14.5 ft)^2

total area = 1414.31 ft^2 + 15.90 ft^2 + 165.13 ft^2

total area = 1595.34 ft^2

6 0
3 years ago
I kinda forgot my fractions. Anybody nice to help? 17/21 - 1/7. Answer in simplest form. Thanks!
jeka94

Answer:

2/3

Step-by-step explanation:

17/21-1/7

17/21-3/21

14/21=2/3

6 0
2 years ago
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