Very urgent!!!!!
The first term of an AP is 6 and the 5th term is 18.find the number of terms in the series having a sum of 162....
With workings
And explanation
Thanks ​

Answers

Answer 1

Answer:

number of terms=9

Step-by-step explanation:

[tex]t_{1}=6\\t_{5}=18\\\\t_{n}=t_{1}+(n-1)d\\18=6+(5-1)d\\18-6=4d\\4d=12\\d=12/4=3\\s_{n}=162\\s_{n}=\frac{n}{2}[2t_{1}+(n-1)d]\\162=\frac{n}{2}[2(6)+(n-1)3]\\162 \times 2=n(12+3n-3)\\324=n(3n+9)\\3n^2+9n-324=0\\n^2+3n-108=0\\n^2+12n-9n-108=0\\n(n+12)-9(n+12)=0\\(n+12)(n-9)=0\\n=-12,9\\n=-12 (rejected)[/tex]

as number of terms can't be negative.

Answer 2

Answer:

PLS MARK BRAINLIEST

Step-by-step explanation:

Sn = n/2(2a+(n-1)d)

a=6

a+ 4d= 18

6 +4d= 18

4d = 12

d = 3

162= n/2(12+(n -1)3)

324=n(12 + 3n-3)

324=12n + 3n^2 - 3n

3n^2 + 9n-324=0

3n^2+ 36n-27n -324 =0

3n(n+12) -27(n+12)= 0

3n-27 =0; n+ 12=0

n=9 ; n= -12

since n can't be negative n=9

The number of terms is 9


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How do I solve this problem??

Answers

Answer:

32

Step-by-step explanation:

Because Triangle QPS has equal sides, it is an equilateral triangle. Which means its angles are 60°. 134-60 = 74. Because Lines QS and QR are equal angles QSR and QRS are the same. 180-74-74 = 32

Hope this helps

87 calories per 3/4 cup. How many calories per 1 cup

Answers

Answer:  116 calories  Step-by-step explanation:

since 87 calories = ³/₄ cup

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⇒ 87 = ³/₄ x

x = (87)(⁴/₃)

x = 116 calories

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Copy the picture and put a dot on where i put it

Answers

Answer:

put a dot at the second last line on the left and a dot at the third last line on the right.

Step-by-step explanation:

-5 2/3 is one dot away from -6 and 5 1/3 is two dots away from just 6.

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a 2 and –9
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Answers

I’m pretty sure it’s d

20 POINTS!

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Answers

Answer:

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Step-by-step explanation:

Cat

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:   x = w (y + z)

Step-by-step explanation:

We can make x the subject of the equation by moving all the other terms to the opposite side of the equal sign while x is on the next.

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        x = w (y + z)

After watching Donald Duck in Mathmagic Land, please type out three things that you learned from the video. Did you like the video? Why or why not? Please answer all parts to the question

Answers

Answer:

Hope this helps

Step-by-step explanation:

Mathmagic Land had taught me more about math that I never knew before. I learned that everything can be involved with math. It all starts at the Pythagoreans which were the Greek. An example of how math is used today, is by playing billiards.

In billiards, you have to have a good technique of how your going to hit the ball, (good angles,) and you have to have a precise calculation of the angle your going to hit it at.I also learned when you cut shapes like a sphere, it just makes more and more shapes.

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Answers

The answer would be -11

Help!!! I'll give brainly to whoever does it correctly and first




Answers

Answer:-7x but don’t look at me if it’s wrong cuz I finally did not search this up so

Step-by-step explanation:

If I could get help………

Answers

Answer:

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enjoy it

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Answers

assuming you're trying to find 50 books = $n

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Hey Guys I need some help in answering( some areas of a Triangle) - the Question will be attached Below.
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Answers

Step-by-step explanation:

2)

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are of the shape is 10+ 15= 25 cm^2

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Josh was driving on a road that had a 30 mi/h speed limit posted. A deer jumped out from the side of the road, causing him to slam on the brakes. His tires left 71 ft skid marks. The road had a drag factor of 0.78. His brakes were operating at 95% efficiency. Should Josh get a ticket for speeding?

Answers

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Step-by-step explanation:

please mark brainlyest

Convert the measurement as indicated

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Answers

Answer: 2.5 yards

Step-by-step explanation: Divide the inches value by 36.    90/36 = 2.5

Find the missing angle measures.
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a. 50
b. 105
c. 100
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Answers

Answer: C

Step-by-step explanation:

we know that the third angle of the triangle with 50 and 50 degrees is 80 because a triangle has 180 degrees. we also know that 80 + the measure of angle 1 = 180 and 80 + 100=180

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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please mark this as brainliest

[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{solution}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]

let the missing number be x,

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[tex]x = - 5 - 2[/tex]

[tex]x = - 7[/tex]

hence, the missing number is -7

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Answers

The range of function graphed above is :

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Answers

Answer:

C. The function is never increasing

Step-by-step explanation:

According to the graph, the line goes down in both sections as the value of x increases. It means the function is always decreasing.

Correct answer choice is:

C. The function is never increasing

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Given that;

This graph shows a reciprocal parent function.

Since, We have;

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C. The function is never increasing.

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ7

PLEASE HELP !!!! SYSTEMS OF EQUATIONS

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Answers

Answer:

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Step-by-step explanation:

We'll call Maddie's votes x, and her opponent's votes y.

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Answers

c definitely c hope this helps

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Answers

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Answers

Answer:

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Answer:

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Answers

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Step-by-step explanation:

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Answers

Answer:

B= (-7, -5)

Step-by-step explanation:

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Answers

Answer: 33

Step-by-step explanation:

67 inches to the fith power times the sin-76689

Combining like terms plz ?

Answers

Answer:

9g - 6

Step-by-step explanation:

7g - 9 + 2g + 3

9g - 9 + 3

9g - 6

Answer:

9g-6

Step-by-step explanation:

7g-9+2g+3= (7g+2g)+(-9+3)

Solve:

9g-6

Hope this helps!

I need help with this

Answers

Answer:

c

Step-by-step explanation:

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