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CaHeK987 [17]
3 years ago
10

Find the next number in the number sequence 82, 101, 122, 145, ...

Mathematics
1 answer:
mote1985 [20]3 years ago
7 0
The answer is 170,

This is an arithmetic sequence, meaning you use addition or subtraction and not multiplication and division. The sequence changes like this, 101 - 82 = 19
So you would think you would add 19 to 101 to find the next number, however, 101 + 19 /= 122.
So it can't be the same number, so the equation sequence must add or subtract.

122 - 101 = 21

That is 2 more than 19. In order to confirm this is the proper sequence, you take the next number, or 145 - 122 = 23.

Now 23 - 21 = 2

The sequence changes by an increase of 2 every time in these selected numbers in the sequence. Therefore, you can accurately assume that the next number is 170

I hope this helped!
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Someone please please please help...
padilas [110]

Answer:

linear decreasing

explanation:

the line is straight so its decreasing at a LINEAR rate, and the line is going down so its DECREASING. Hope that helps have a nice day

5 0
3 years ago
Read 2 more answers
1.) The island shown has a population of 12,175 people. Find the population
miv72 [106K]

Answer:

Population density = 148.22\ \text{people per square kilometer}

Step-by-step explanation:

The attached figure shows the dimension of an island.

Population density is equal to total population per unit land area.

Firstly we will find the area of the triangle using Pythagoras theorem as follows :

H^2=B^2+P^2

H is Hypotenuse, B is base and P is perpendicular

B=\sqrt{H^2-P^2} \\\\B=\sqrt{(18.5)^2-(11.1)^2} \\\\B=14.8\ km

Area of triangle is given by :

A=\dfrac{1}{2}\times b\times P\\\\A=\dfrac{1}{2}\times 14.8\times 11.1\\\\A=82.14\ km^2

\text{Population density}=\dfrac{\text{Total population}}{\text{land area}}\\\\=\dfrac{12175 }{82.14}\\\\=148.22\ \text{people per square kilometer}

Hence, the population density is 148.22\ \text{people per square kilometer}.

7 0
3 years ago
Write an expression that represents the perimeter.
Tatiana [17]
I believe it may be C.
7 0
3 years ago
Find the volume of the solid below.
9966 [12]

Answer:

3000 cm^3.

Step-by-step explanation:

If the top number is 15 it's

15 * 20 * 10

=  3000 cm^3.

7 0
3 years ago
Read 2 more answers
A rare mutation only occurs in 1 in every 2048 generations of fruit flies. We can assume that whether or not the mutation occurs
sergey [27]

Answer:

(A) 0.0244

(B) 1 (not 1.47 as is calculated) since probability values are between 0 and 1; 0 and 1 inclusive

Step-by-step explanation:

The rare mutation only occurs in 1 generation, out of every 2048 generations. This implies that the next occurrence will fall in or within the next 2048 generations (2 generations in 4096 generations, will have the rare mutation).

(A) The probability of occurrence of this mutation at least once (at most infinity) in 50 generations of fruit flies will surely be less than, as 50 is less than 2048.

The accurate probability is gotten when 50 is divided by 2048

50÷2048 = 0.0244

(B) The probability of seeing this mutation at least once (at most infinity) in 3000 generations would have been 1.47 but for 3 reasons;

- The full question already tells that the mutation will occur once in every 2048 generations and 3000 is greater than 2048, hence there will be a sure occurrence within 3000 generations.

- Question (b) asks you to calculate the probability of seeing this mutation at least once in 3000 generations so, the probability is 1 (representing full probability).

- In probability theory or statistics, all probability values fall within 0 and 1; with 0 representing no occurrence at all and 1 representing full occurrence.

5 0
4 years ago
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