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vivado [14]
3 years ago
11

If f(n) = (2n + 3)2 – 2n, which statement is true?

Mathematics
1 answer:
viktelen [127]3 years ago
5 0

Answer: f(5) = 16

Step-by-step explanation:

f(n) = (2n + 3)2 – 2n

f(5) = ((2 x 5) + 3)2 – 2 x 5

f(5) = (10 + 3)2 – 10

f(5) = (13)2 – 10

f(5) = 26 – 10

f(5) = 16

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I need help with question 2. Anything is appreciated:)
Ivahew [28]

1x + 8 = 10 + 0.5x

1x - 0.5x = .5x

.5x + 8 = 10

10 - 8 = 2

2/.5 = 4

Therefore, it will take 4 years for the two trees to have grown to the same height.

6 0
3 years ago
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What is the remainder when 4x^3+2x^2-18+38/x-3
Trava [24]

Answer:

The remainder is 2

Step-by-step explanation:

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7 0
3 years ago
Taking color into account, does the shape have rotational symmetry? If so, what is the angle of rotation, rounded to the nearest
kolbaska11 [484]
There are 6 identical and symmetrical shapes if colors are ignored.
Because color is taken into account, each shape (with a distinct color) can be rotated into itself about the center of the figure through an angle of 360°.

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The shape has rotational symmetry.
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7 0
3 years ago
Maclaurin series of sinx
olga nikolaevna [1]

Answer:

cos(u) and sin(u) can be expanded in with a Maclaurin series, and cos(c) and sin(c) are constants.

Step-by-step explanation:

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7 0
3 years ago
A math teacher gets a starting salary of $30,000. IF she gets a 1.5% increase in salary each year, what will her total income be
kolezko [41]
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An increase of 1.5 % =  1.015 

Year            1,             2,                       3,.........................., 30.
               30000, 3000(1.015),  30000(1.015)²,........... 30000(1.015)²⁹

Her Total Income is sum over the thirty 30 year period:

Sn =  a(r^n  - 1) / (r - 1);                a = 30000,  r = 1.015,  n = 30

Sn =  30000 ( 1.015^30  -  1) / (1.015 - 1)

      =  30000 (1.56308022 - 1) / (0.015) =  1126160.44

Total =  $ 1 126 160.44

5 0
2 years ago
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