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3 years ago

Based on the pattern, what are the next two terms of the sequence? 2, 5, 8, 11, . . .?

Mathematics

2 answers:

AnnyKZ [126]3 years ago

7 0

Answer:

14, 17

Step-by-step explanation:

Note the differences in consecutive terms of the sequence

5 - 2 = 3

8 - 5 = 3

11 - 8 = 3

The differences are constant

To find the next term in the sequence add 3 to the previous term, that is

11 + 3 = 14

14 + 3 = 17

Ksenya-84 [330]3 years ago

4 0

Answer:

2, 5, 8, 11, 14, 17

Step-by-step explanation:

rule = +3

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A herd of cattle started with a population of 10,000 and was 20,000 after 10 years. If the population was growing exponentially,

kompoz [17]

Answer:

The growth rate is 7.2%

Step-by-step explanation:

First thing we need to do here is to set up an exponential equation;

This can be written as follows;

F = I(1 + r)^t

where F is the future value = 20,000

I is the initial value = 10,000

r is the rate in percent which we want to calculate

t is time in years = 10 years

Substituting the values in the question into the exponential equation, we have;

20,000 = 10,000(1 + r)^10

divide both side by 10,000

2 = (1+r)^10

Find the 10th root of both sides

1+ r = 2^(1/10)

1 + r = 1.07177346254

r = 1.07177346254-1 = 0.07177346253

Let’s approximate r as 0.072

Now this to percentage?

That would be 72/1000 * 100% = 7.2%

4 0

3 years ago

cory bought 4 apples and 6 oranges and paid 5.10. Dalia bought 2 apples and 5 oranges and paid 3.65. what is the cost of 2 orang

aev [14]

Answer:

pls tell me where cory bought them from. its a very cheap price . i want to buy

Step-by-step explanation:

4 0

3 years ago

The length of the hypotenuse of a right triangle is 24. If the length of one leg is 8, what is approximate length of the other l

Verdich [7]

Something that a right triangle is characterised by is the fact that we may use Pythagoras' theorem to find the length of any one of its sides, given that we know the length of the other two sides. Here, we know the length of the hypotenuse and one other side, therefor we can easily use the theorem to solve for the remaining side.

Now, Pythagoras' Theorem is defined as follows:

c^2 = a^2 + b^2, where c is the length of the hypotenuse and a and b are the lengths of the other two sides.

Given that we know that c = 24 and a = 8, we can find b by substituting c and a into the formula we defined above:

c^2 = a^2 + b^2

24^2 = 8^2 + b^2 (Substitute c = 24 and a = 8)

b^2 = 24^2 - 8^2 (Subtract 8^2 from both sides)

b = √(24^2 - 8^2) (Take the square root of both sides)

b = √512 (Evaluate 24^2 - 8^2)

b = 16√2 (Simplify √512)

= 22.627 (to three decimal places)

I wasn't sure about whether by 'approximate length' you meant for the length to be rounded to a certain number of decimal places or whether you were meant to do more of an estimate based on your knowledge of surds and powers. If you need any more clarification however don't hesitate to comment below.

4 0

3 years ago

Find the mode(s) for the given sample data. The lengths (in inches) of each snake in the Clarmont Zoo's reptile house are shown

Contact [7]

The correct option is : no mode

Explanation

The given data set is: $9, 15, 86, 13, 16, 101, 85, 10, 14, 17, 102$

The mode is the number that is repeated more often than any other number in the data set.

But here we can see that all the numbers in this data set are different. That means they appear only once.

So, there will be 'no mode' in this set.

3 0

3 years ago

Can anyone help me with 5 and 7

Alexxx [7]

Answer:

4) add 5x and 9x

answer: 14x - 30

7) subtract 28 from 15

answer: x - 13

Step-by-step explanation: sorry if it is wrong I try my best

5 0

2 years ago