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Andrews [41]
3 years ago
13

What is the 6th term in the arithmetic sequence below?

Mathematics
1 answer:
mamaluj [8]3 years ago
3 0
The common difference is 7
Going up by 7 each time
26 + 7 = 33
The solution is A. 33
You might be interested in
\large -6x+6y=6<br> \large 6x+3y=12
Kaylis [27]

Answer:

the solution of the system is:

x = 1 and y = 2.

Step-by-step explanation:

I suppose that we want to solve the equation:

-6*x + 6*y = 6

6*x + 3*y = 12

To solve this, we first need to isolate one of the variables in one of the equations.

Let's isolate y in the first equation:

6*y = 6 + 6*x

y = (6 + 6*x)/6

y = 6/6 + (6*x)/6

y = 1 + x

Now we can replace this in the other equation:

6*x + 3*(1 + x) = 12

6*x + 3 + 3*x = 12

9*x + 3 = 12

9*x = 12 - 3 = 9

x = 9/9 = 1

Now that we know that x = 1, we can replace this in the equation "y = 1 + x" to find the value of y.

y = 1 + (1)  = 2

Then the solution of the system is:

x = 1 and y = 2.

6 0
3 years ago
Which of the following rational numbers is equal to 2 point 4 with bar over 4? twenty two over nine twenty four over nine twenty
qaws [65]

Answer:

Twenty two over nine.

Step-by-step explanation:

The bar over the 4 means that 4 is recurring .44444.........  It goes on with out bounds and is equal to 4/9.

So 2.4 = 2 4/9

= 22/9.

7 0
3 years ago
Read 2 more answers
Simplify this algebraic expression completely. 10y – 3(y + 5) A. 7y – 15 B. 7y – 5 C. 7y + 2 D. 7y + 5
Kipish [7]
Hey! :)

10y-3(y+5)

Distribute the -3. 

-3*y= -3y  -3*5= -15

10y-3y-15

7y-15

"A" is the answer.

~'Manda
6 0
3 years ago
A potential energy function is given by U = A x3 + B x2 − C x + D . For positive parameters A, B, C, D this potential has two eq
Ivenika [448]

Answer:

7.8655

Step-by-step explanation:

Given the functionl

U=Ax^3+Bx^2-cx+D

Where,

A=1.45J/m^3\\B=2.85J/m^2\\c= 1.7J/m\\D=0.6J

We have, replacing,

U=1.45x^3+2.85x^2-1.7x+0.6

We need to derivate and verify for stable equilibrum that,

\frac{d^2 U}{dx^2}>0

Then,

U'(x) = 4.32x^2+5.7x-1.7

Roots in,

x_1=-1.57008\\x_2=0.250636

We obtain U"(x), then we have

\frac{d^2U}{dx}=8.64x+5.7

For x=-1.57, U"(x)=-7.86549 Unestable

For x=0.250636 U"(x)=7.8655>0 Stable

7 0
3 years ago
Please help 10 points
WARRIOR [948]

Answer:

FG = 15

Step-by-step explanation:

Note that

EF + FG = EG ← substitute values into equation, that is

6 + FG = 21 ( subtract 6 from both sides )

FG = 21 - 6 = 15

5 0
3 years ago
Read 2 more answers
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