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Cloud [144]
3 years ago
11

The sixth term is 22 and the common difference is six what is the fiftieth term

Mathematics
1 answer:
IrinaK [193]3 years ago
7 0
Hey! :)

The general formula for an arithmetic sequence is: a(n) = a + d(n - 1) 
a : first term d : common difference (6) n : number of the term 
In your example, you are told the 6th term is 22. a(6) = a + 6(6 - 1) = 22 a + 30 = 22 a = 22 - 30 a = -8 
So now you have the general formula: a(n) = -8 + 6(n - 1) 
If you like you can simplify it: a(n) = -8 + 6n - 6 a(n) = 6n - 14 
Then you can plug in n = 50: a(50) = 6(50) - 14 = 300 - 14 = 286
So your answer is 286

Hope this helps! :)
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Which expression calculates the speed in meters per second of an object that travels a distance of 40 m every 10 s?
kipiarov [429]
40x10 is the correct one
5 0
2 years ago
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A home builder needs to cover the rectangular floor of a closet with a carpet the closet is 2 yards long and 2/3 of a yard wide
Crank

Your Answer is 4 Yards

Step-by-step explanation:

2/3 yards is 2 feet

2 yards is 6 feet

2 times 6 feet is 12 foot e.g. (2 x 6 =  12)

12 feet is 4 yards.

Formula (L x W = A)

L = length

W = Width

A = Area

<em>Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!</em>

7 0
2 years ago
I don’t 100% remember how to turn this into a standard problem.. could someone help me really quick?
marin [14]
Standard form is ax^2+bx+c=0

First evaluate the exponent and expand (foil).
y= 3(x^2-4x+4)+1

Then distribute the 3
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Combine like terms
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6 0
3 years ago
Find the value of ‘k’ if one zero of p(x) = kx2<br> – 14 x + 8 is 6 times the other.
Finger [1]

Answer:

<u>k = 3</u>

Step-by-step explanation:

one zero of p(x) = kx²– 14 x + 8 is 6 times the other.

let the zeros are ⇒ a and 6a

the equation kx²– 14 x + 8

can be written as k ( x²/k– 14/k x + 8/k)

So, a * 6a = 8/k    ⇒ (1)

And a + 6a = 14/k ⇒ (2)

from (2)  k = 14/(a + 6a) = 14/(7a) = 2/a

∴ a = 2/k

Substitute at (1)

a * 6a = 8/k

2/k * 12/k = 8/k

solve for k

24/k = 8

k = 24/8 = 3

<u>the value of k = 3</u>

And the zeros will be 2/3 and 4

5 0
3 years ago
The volume of the prism shown below is 140 cubic meters. Find the height of the prism
Tema [17]

Answer:

5

Step-by-step explanation:

First multiply 7 and 4

7 * 4 = 28

Then divide 140 by 28

140/28 = 5

Height is 5

7 0
2 years ago
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