If T(n) = 6n + 2 what is the 3rd term

Answers

Answer 1
Answer: To find the 3rd term, just replace the 'n' with 3.

Therefore:

t(3) = 6(3) + 2
t(3) = 18 + 2
t(3) = 20.

The 3rd term is 20. 
Answer 2
Answer: T(n)=6n+2 T3=6(3)+2 T3=20

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What's bigger 25,000
years or 0.1 million years

Answers

0.1 million years is equal to 100,000 years.
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0.1 million years its bigger then 25,000 years

F c(x) = 4x – 2 and d(x) = x2 + 5x, what is (C o D)(x)?A) 4x^3 + 18x^2 – 10x
B) x^2 + 9x – 2
C) 16x^2 + 4x – 6
D) 4x^2 + 20x – 2

Answers

The value for the compositefunction is 4x² + 20x - 2.

Option D is the correct answer.

What is a function?

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

To find (C o D)(x), we need to substitute d(x) into c(x) and simplify the resulting expression.

First, we have:

C(D(x)) = 4D(x) - 2

Next, we substitute d(x) for x in the expression for D(x):

D(x) = x² + 5x

So,

C(D(x)) = 4(x² + 5x) - 2

Simplifying, we get:

C(D(x)) = 4x² + 20x - 2

Therefore,

The value for the compositefunction is 4x² + 20x - 2.

Learn more about functions here:

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\bf \begin{cases}c(x)=4x-2\n\nd(x)=x^2+5x\end{cases}\qquad thus\n\n\n(c\circ d)(x)\implies \begin{array}{llll}c(x)=&4x-2\n\nc[\ d(x)\ ]=&4(dx)-2\n\nc[\ \boxed{x^2+5x}\ ]= &4(\boxed{x^2+5x})-2\end{array}

distribute and simplify

What is the value of y?

Answers

Answer:

try 70

Step-by-step explanation:

I’m pretty sure it’s 70

A circle has a circumference of 196π
What is the radius of the circle?

Answers

Circumference=2πr
196π=2πr. Divide both sides by 2π so the answer is 98

A circle is centered at K(0,0)K(0,0)K, left parenthesis, 0, comma, 0, right parenthesis. The point U(6,-4)U(6,−4)U, left parenthesis, 6, comma, minus, 4, right parenthesis is on the circle.Where does the point V(\sqrt{2},-7)V(
2

,−7)V, left parenthesis, square root of, 2, end square root, comma, minus, 7, right parenthesis lie?

Answers

Answer:

inside the circle

Step-by-step explanation:

Khan Academy

Final answer:

The point V(√2, -7) lies inside the circle centered at K(0,0) with point U(6, -4) on it. This is determined by comparing the distances (or radii) from the circle center to the points.

Explanation:

To determine where the point V(√2, -7) lies in relation to the circle centered at K(0,0) with point U(6, -4) on the circle, we first need to identify the radius of the circle. The radius can be found using the distance formula for points in the Cartesian plane,

Distance = √[(x2-x1)^2 + (y2-y1)^2]

So the distance between points K(0,0) and U(6, -4) (which is the radius of our circle) is √[(6-0)^2 + (-4 - 0)^2] = √[36 + 16] = √52

Now we calculate the distance between the circle center K(0,0) and point V(√2, -7) using the same formula. This results in a distance of √[(√2 - 0)^2 + (-7 - 0)^2] = √[2 + 49] = √51.

Since √51 is less than √52, the point V(√2, -7) lies inside the circle.

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Which of the graphs above is the graph of the equation below? Y=x^3-6x^2+11x-6=(x-3)(x-2)(x-1)

Answers

Answer:

answer Z

Step-by-step explanation:

Look for a graph that contains the following zeros: x = 1, x = 2 , x= 3, following the info derived by the binomial factors that the function contains. Also look ate the fact that the function in question has for leading term positivex^3 , then this function must go towards plus infinity when x becomes large. This is the case for the graph option Z (the last graph of the group)