Find the sum of the infinite series, if it exists a1= 26,r=1/2

Answer:

5 hours

Step-by-step explanation:

Arrival Time in Victorian time = 4 - 3 = 1pm

Flight time = 13 - 6 = 5 hours

Answer:

The water level at Lake Willow is 9 feet after the rain

Step-by-step explanation:

Simply add 23 and -14

-14+23=9

Hope this helps

Answer:

37 is the smallest positive integer n such that n(n+1)(n+2) is divisible by 247.

Step-by-step explanation:

First we will find the prime factors of 247:

247 = 13 x 19 (which are both prime).

So now we need to find a number (the smallest one) that is of the form (n)(n+1)(n+2) (the product of three consecutive numbers) and that is divisible by both 13 and 19 (and therefore divisible by 247)

Let's take a look at the multiples of 13: 13, 26, 39, 52...

Let's take a look at the multiples of 19: 19, 38, 57...

We can see that the first time we have two multiples close together are the 38 (for 19) and the 39 (for 17).

So, if our number has both 38 and 39 as factors, then it will be divisible by 247.

However, we need not two but three consecutive numbers, and since we want the number to be the smallest positive integer, we will add 37 (since our other choice would be to add 40 and that would make the number bigger) and thus our number is (37)(38)(39) or in other words (37)(37 + 1)(37 + 2) and therefore this is the smallest positive number such that n(n+1)(n+2) is divisible by 247.

The smallest positive integer n such that n(n+1)(n+2) is divisible by 247 is 37.

n(n+1)(n+2) is divisible by 247

Then, n(n+1)(n+2) =247k, where k is an integer

so, [tex]k = \frac{n(n+1)(n+2)}{247}[/tex]

An integer is a number that is not a fraction but a whole number.

Since the prime factors of 247 are 19 and 13.

By hit and trial let us choose the value of n such that n *(n+1) or (n+1) *(n+2) or n *(n+2)  become the multiples of 19 *13.

If n = 37

n+1 = 38

n+2 = 39

So, if n=37, ( n+1 )*(n+2) will get divided by 19*13

So, the smallest possible integer 'n' will be 37.

Therefore, the smallest positive integer n such that n(n+1)(n+2) is divisible by 247 is 37.

To get more about the number system visit:

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Answer:

x=6

Step-by-step explanation:

If b in in the middle of A and C then you would set AB equal to BC and solve

Answer:

the answer is 7 not 6

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is how to round 6.47 to the nearest tenth.

First note that 6.47 has two parts. The integer part to the left of the decimal point and the fractional part to the right of the decimal point:

Integer Part: 6

Fractional Part: 47

To round 6.47 to nearest tenth means to round the numbers so you only have one digit in the fractional part.

Answer:

  squares of the reciprocals of natural numbers

Step-by-step explanation:

The numbers are squares of the reciprocals of successive natural numbers.

1 : (1/1)^2 = 1

2 : (1/2)^2 = 1/4

3 : (1/3)^2 = 1/9

4 : (1/4)^2 = 1/16

5 : (1/5)^2 = 1/25

Answer:

squares of the reciprocals of natural numbers

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Use the rule in algebra: change side,change sign... (when you move a digit, see whether it's +,-,× or ÷ and work out the opposite to get the letter on its own.

Answer:

the answer is 8 working out is shown below

Step-by-step explanation:

the answer is 177.75 lb; 178.25 lb

Answer:

I believe the question is asking what it was before it was rounded to 178.

Your answer is 177.5lb

Step-by-step explanation:

A half pound is 0.5lb. After 5 or 0.5 you always round up. So rounding 177.5lb to the nearest half pound would be 178lb. Hope this helps!

Answer:

Volume of a sphere: V = (4/3)πr.

Step-by-step explanation:

hope this helps

The equation which is a radical equation from the given answer choices is; 7 √x = 14.

In mathematics, an nth root of a number x is a number r which, when raised to the power n, yields x: {\displaystyle r^{n}=x, } where n is a positive integer, sometimes called the degree of the root. A root of degree 2 is called a square root and a root of degree 3, a cube root.

here, we have,

According to the task content;

It follows that we are required to determine the equation which is a radical equation.

here, we have,

given that,

we have to find the radical equation.

now, we know that,

On this note, the required equation is 7 √x = 14 because the variable is under a radical.

Read more on radical equation;

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Answer:

15.5

Step-by-step explanation:

You divide 62 by 2 which gives you 31 which means the car is going 31 mph. Then you divide 31 by 2 again and you get 15.5.

 15.5

+15.5

-------

  31.0

Hope I helped!!!

Hey there!

[tex]Answer:\boxed{x=3,1}[/tex]

[tex]Explanation:[/tex]

x^2 - 4x + 3

If you want to solve using quadratic formula, you have to find a, b, c to find x.

x = 3,1

Hope this helps!

Answer:

Albert invested $21,000

John invested $49,000

Step-by-step explanation:

First add 3 and 7

3+7=10

Now divide 70,000 by 10

70,000/10=7000

Now multiply 7000 by 3 and 7

7000x3=21,000

7000x7=49,000

Hope this helps! Plz award Brainliest : )

Answer:

13

Step-by-step explanation:

→ Complete the division first

4 ÷ 2 = 2

11 + 2

→ Add

13

Answer:

Step-by-step explanation:

(-1-5)/2 = -6/2= -3

(-5+9)/2 = 4/2 = 2

(-3, 2)

Answer:

8 3/4 chores

Step-by-step explanation:

Answer:

Interval Notation:

( −∞,−13]

Set-Builder Notation:

{ x| x≤−13}

Step-by-step explanation:

Step-by-step explanation:

For number 1, the rate is 20km/140min

So you divide so the rate becomes 1km/(?)

20/20=1

140/20=7

1km/7min

Then to get it to 8km/(?) multiply both sides by 8

1x8=8

7x8=54

8km/54min

Answer: It would take him 54 min to cycle 8km

Step-by-step explanation:

[tex] \frac{21}{99} \\ = \frac{7 \times 3}{33 \times 3} \\ = \frac{7}{33} \\ = 0.212121212... \\ \frac{21}{99}= 0. \overline{21}[/tex]

Answer:

-2-12s

Step-by-step explanation:

distributive property

Answer: -2x=-2

Step-by-step explanation:-6x-4x=2x

hope this helps xxx

Answer:

x=1

Step-by-step explanation:

-6x + 4x= -2     original equation

-2x = -2    because you have to combine like terms ( -6x and 4x)

[tex]\frac{-2x}{-2} = \frac{-2}{-2}[/tex]  divide both sides by -2

x= 1 solution

Answer:

87,025

Step-by-step explanation:

17550-20525. just subtract

Answer: 8,497.5

32,445

Step-by-step explanation:

Answer:

Step-by-step explanation:

This exercise desires to test our   knowledge of units conversion,

now, given that on the map 1 inch represents 4 miles

the distance of 1mile when converted to inches ordinarily would be

1mile is 63360 inches

since on the map

1 inch represents 4 miles

63360 inches represents  Xmiles

cross multiply we have

X would be = 63360*4

On a map one mile would be 253440 miles

Answer: the mean will be higher than the median and mode

Step-by-step explanation:

It's A for apex users

Answer:

-81

Step-by-step explanation:

-3 to the power of 4 is -81.