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2 years ago

Solve 4√2 + 5√4 and explain if the answer is rational or irrational

Mathematics

1 answer:

USPshnik [31]2 years ago

5 0

Answer: Not Rational

Step-by-step explanation: because a rational number is a fraction, integer or a repeating decimal

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18. Determine the common difference, the fifth term, and the sum of the first 100 terms of the following sequence:

Ksenya-84 [330]

$a_1=1,\ a_2=2.5,\ a_3=4,\ a_4=5.5,\ ...\\\\a_2-a_1=2.5-1=1.5\\a_3-a_2=4-2.5=1.5\\a_4-a_3=5.5-4=1.5\\a_{n+1}-a_n=1.5=constans\\\\\text{It's an arithmetic sequence with}\\a_1=1,\ \boxed{d=1.5}\\\\a_n=a_1+(n-1)d\to a_n=1+(n-1)(1.5)=1+1.5n-1.5\\\\a_n=1.5n-0.5\\\\a_5=1.5(5)-0.5=7.5-0.5=7\\\boxed{a_5=7}\\\\\text{The formula of a Sum of the First n Terms of an Arithmetric Sequence:}\\\\S_n=\dfrac{2a_1+(n-1)d}{2}\cdot n\\\\\text{We have:}\\a_1=1,\ d=1.5,\ n=100\\\\\text{Substitute}$

$S_{100}=\dfrac{(2)(1)+(100-1)(1.5)}{2}\cdot100=\dfrac{2+(99)(1.5)}{1}\cdot50\\\\=(2+148.5)\cdot50=150.5\cdot50=7,525\\\\\boxed{S_{100}=7,525}\\\\Answer:\\the\ common\ difference:\ d=1.5\\the\ fifth\ term:\ a_5=7\\the\ sum\ of\ first\ 100\ terms:\ S_{100}=7,525$

8 0

3 years ago

What is the value of x in the equation -6x = 5x+ 22?<br> -22<br> 0 -2<br> 02<br> O 22

Ivahew [28]

Answer:

x = -2

Step-by-step explanation:

Solve -6x = 5x + 22

add 6x to both sides

0 = 6x + 5x + 22

0 = 11x + 22

11x = -22

x = -22/11

x = -2

3 0

2 years ago

How many is 4 +1 and you add that whathat that come to

sesenic [268]

Just like counting imaginary dots on the #s

4+1=5

8 0

2 years ago

Read 2 more answers

Anyone can help? with this problem

Iteru [2.4K]

Answer:

Step-by-step explanation:

24 is 4 in the ratio so 24÷4 gives 6 and 5x6 is 30 so the hypotenuse is 30 inches

4 0

2 years ago

Lannie ordered 12 copies of the same book for his book club members. The book cost $19 each, and the order has a $15 shipping ch

SashulF [63]

Hey there!

First, we need to find how much Lannie paid for all 12 copies. To do this, all we have to do is multiply the unit price ($19) by how many copies he bought (12)

$19 x 12 = $228

So, he spent $228 on the books, but we also need at add the shipping charge:

$228 + $15 = $243

Therefore, the total cost of Lannie’s order is $243

Hope this helps you!

God bless ❤️

Brainliest would be appreciated

xXxGolferGirlxXx

4 0

3 years ago

Read 2 more answers