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3 years ago

Plz help me on this test

Mathematics

1 answer:

Katen [24]3 years ago

4 0

Answer:

they were neatly planned

Step-by-step explanation:

if you studied you would know they live in a sandy area so it cant be stone and it cant be rivers because there not close to it and a big population that is normal in human society so thats why its they were neatly planned

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Solve the following recurrence relation: <br> <img src="https://tex.z-dn.net/?f=A_%7Bn%7D%3Da_%7Bn-1%7D%2Bn%3B%20a_%7B1%7D%20%3D

-Dominant- [34]

By iteratively substituting, we have

$a_n = a_{n-1} + n$

$a_{n-1} = a_{n-2} + (n - 1) \implies a_n = a_{n-2} + n + (n - 1)$

$a_{n-2} = a_{n-3} + (n - 2) \implies a_n = a_{n-3} + n + (n - 1) + (n - 2)$

and the pattern continues down to the first term $a_1=0$ ,

$a_n = a_{n - (n - 1)} + n + (n - 1) + (n - 2) + \cdots + (n - (n - 2))$

$\implies a_n = a_1 + \displaystyle \sum_{k=0}^{n-2} (n - k)$

$\implies a_n = \displaystyle n \sum_{k=0}^{n-2} 1 - \sum_{k=0}^{n-2} k$

Recall the formulas

$\displaystyle \sum_{n=1}^N 1 = N$

$\displaystyle \sum_{n=1}^N n = \frac{N(N+1)}2$

It follows that

$a_n = n (n - 2) - \dfrac{(n-2)(n-1)}2$

$\implies a_n = \dfrac12 n^2 + \dfrac12 n - 1$

$\implies \boxed{a_n = \dfrac{(n+2)(n-1)}2}$

4 0

2 years ago

The maximum capacity in the

Igoryamba

Answer:

34 classes

Step-by-step explanation:

First, subract 180 from 1200. You should get 1020. then do 1020/30. So 34 classes can watch the performance of 180 students.

5 0

3 years ago

Read 2 more answers

Ivan's gas tank is 1/5 full. After he buys 7 gallons of gas, it is 7/10 full. How many gallons can Ivan's tank hold?

blondinia [14]

Answer: 14 gallons of gas.

Step-by-step explanation: For the fractions, find a common denominator, which would be 10. To get 1/5 to have a denominator of 10, multiply each number by 2. You would get 2/10. 7 gallons fills his tank from 2/10 to 7/10. Subtract the two fractions.

7/10 - 2/10 = 5/10.

7 gallons filled his tank half way. We are trying to find the amount to fill his tank all the way. So multiply 7 by 2.

7 x 2 = 14

14 gallons of gas will fill his tank all the way.

I hope this helps!

6 0

3 years ago

Mary and Jane have $48 to share in the ratio 3:5. How much did each girl 2 points

zubka84 [21]

Answer:

Mary- $18

Jane- $30

Step-by-step explanation:

Add the numbers in the ratio together to get 8, and multiply 8 by the variable of x. Divide the total amount of money that both girls earned by 8. You will get x=6. Multiply 6 by 3 to get the amount of money Mary earned, which is 18, and multiply 6 by 5 to get the amount of money Jane earned, which is 30.

x(3+5) = $48

3x + 5x = $48

8x = $48

8x/8 = $48/8

x = $6

3($6):5($6) = $18:$30

4 0

3 years ago

Read 2 more answers

An angle is equal to five times of its complement then what is its measures

satela [25.4K]

Answer:

Then the complement of it = 90-x. Given that An angle is equal to 5 times its complement. x = 75. Hence the measure of an angle = 75.

Step-by-step explanation:

7 0

3 years ago