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ddd [48]
2 years ago
6

What are the first four terms in the sequence Tn=4n+9?

Mathematics
1 answer:
marysya [2.9K]2 years ago
6 0

Answer: If the initial term of an arithmetic sequence is a 1 and the common difference of successive members is d, then the nth term of the sequence is given by: a n = a 1 + (n - 1)d The sum of the first n terms S n of an arithmetic sequence is calculated by the following formula: S n = n (a 1 + a n)/2 = n [2a 1 + (n - 1)d]/2

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How many gallons of a 80​% antifreeze solution must be mixed with 100 gallons of 20​% antifreeze to get a mixture that is 70​% a
Blababa [14]

To Find :

How many gallons of a 80​% antifreeze solution must be mixed with 100 gallons of 20​% antifreeze to get a mixture that is 70​% antifreeze.

Solution :

Let, x gallons of 80​% antifreeze solution is required :

So,

(x \times 80) + ( 100 \times 20 ) = (x + 100 )\times 70\\\\8x + 200 = 7( x + 100)\\\\x = 500

Therefore, 500 gallons of 80% antifreeze solution is required.

6 0
3 years ago
Compare and contrast the data represented in the double box plot below
Greeley [361]

Answer:

and wheres the box plot?

8 0
3 years ago
A men earns $62 per week. how many will he earn if he works a full year 52weeks
Sever21 [200]
62$ (earns of 1 week) multiplied with 52 weeks (how often he earns the 62$) is 3224
5 0
3 years ago
Read 2 more answers
Suppose f(x)=6x-2 and g(x)=2x+4). Find each of the following functions.
makvit [3.9K]

a. (f+g)(x) = 8x+2

b. (f-g)(x) = 4x-6

Step-by-step explanation:

Given

f(x) = 6x-2\\and\\g(x)=2x+4

<u>a. (f+g)(x)</u>

(f+g)(x)=f(x)+g(x)\\=6x-2+(2x+4)\\=6x-2+2x+4\\=6x+2x-2+4\\=8x+2

<u>b. (f-g)(x)</u>

(f-g)(x)=f(x)-g(x)\\=(6x-2)-(2x+4)\\=6x-2-2x-4\\=6x-2x-2-4\\=4x-6

Hence,

a. (f+g)(x) = 8x+2

b. (f-g)(x) = 4x-6

Keywords: Functions

Learn more about functions at:

  • brainly.com/question/5282516
  • brainly.com/question/5424148

#LearnwithBrainly

8 0
3 years ago
Please help thank you !
Vikentia [17]

Answer:

x ≈ 14.57

Step-by-step explanation:

using the sine ratio in the right triangle

sin59° = \frac{opposite}{hypotenuse} = \frac{x}{17} ( multiply both sides by 17 )

17 × sin59° = x , then

x ≈ 14.57 ( to 2 dec. places )

8 0
2 years ago
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