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fredd [130]
3 years ago
12

Given the formula for the arithmetic sequence, an = 6+ (n - 1)3, give the first 4 terms of the

Mathematics
1 answer:
Kitty [74]3 years ago
6 0

a(n) = 6 + 3(n - 1)

a(1) = 6 + 3(1 - 1)

a(1) = 6 + 3 \times 0

a(1) = 6 + 0

a(1) = 6

_________________________________

a(2) = 6 + 3(2 - 1)

a(2) = 6 + 3 \times 1

a(2) = 6 + 3

a(2) = 9

_________________________________

a(3) = 6 + 3(3 - 1)

a(3) = 6 + 3 \times 2

a(3) = 6 + 6

a(3) = 12

_________________________________

a(4) = 6 + 3(4 - 1)

a(4) = 6 + 3 \times 3

a(4) = 6 + 9

a(4) = 15

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Eduardwww [97]

The correct transformation is a rotation of 180° around the origin followed by a translation of 3 units up and 1 unit to the left.

<h3>Which transformation is used to get A'B'C'?</h3>

To analyze this we can only follow one of the vertices of the triangle.

Let's follow A.

A starts at (3, 4). If we apply a rotation of 180° about the origin, we end up in the third quadrant in the coordinates:

(-3, -4)

Now if you look at A', you can see that the coordinates are:

A' = (-4, -1)

To go from (-3, -4) to (-4, -1), we move one unit to the left and 3 units up.

Then the complete transformation is:

A rotation of 180° around the origin, followed by a translation of 3 units up and 1 unit to the left.

If you want to learn more about transformations:

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6 0
2 years ago
Find the volume of this cylinder.<br> Give your answer to 1 decimal point
galina1969 [7]

Answer:

1330.5 cm³

Step-by-step explanation:

The volume of a cylinder is: V = πr²h

Substitute the values for those variables.

V = π(5.5)²(14)

V = π(30.25)(14)

V = 1330.5

4 0
3 years ago
Read 2 more answers
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Gala2k [10]

Answer:

thx m8

Step-by-step explanation:

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7 0
3 years ago
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The amount of garbage, G produced by a city with population p is given by G = f(p). G is measured in tons per week, and p is mea
barxatty [35]
Alright, so this is simple.

P= 50,000 or 50 thousands

G= 13 Tons

The variable f isn't known.

So your equation would be 13 = 50 (f), if you were to put your known variables in the equation.

If you were to find variable f, you would divide 13 tons by 50,000 to get 0.00026 or in scientific notation: 2.6 x 10 (exponent(s):-4)



 

5 0
3 years ago
Help me..........................
FrozenT [24]

Answer:

Below

Step-by-step explanation:

To find the rate we have to divide

2/3=.67

then we can multiply all the numbers by .67

1=.67

2=1.34

5=3.35

10=6.7

Desmos is hard sometimes :)

4 0
3 years ago
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