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maks197457 [2]
3 years ago
12

In the sequence S of numbers, each term after the first two terms is the sum of the two immediately preceding terms. What is the

5th term of S
Mathematics
1 answer:
-Dominant- [34]3 years ago
3 0

Answer:

5th term = 2*1st term + 3*2nd term

Step-by-step explanation:

z₁ : 1st term, z₂ : 2nd term

z₃ = z₁ + z₂

z₄ = z₃ + z₂ = z₁ + 2*z₂

z₅ = z₄ + z₃ = (z₁ + 2*z₂) + (z₁ + z₂) = 2*z₁ + 3*z₂

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A long-distance phone call between two cities costs ​$4.42 for 17 minutes. What is the rate in cents per​ minute?
Novosadov [1.4K]

Answer:

The rate is r = \frac{442}{17} = 26

Step-by-step explanation:

The rate, in cents per minute, is given by the multiplication of the how much you paid by 100 and divided by the number of minutes.

The multiplication by 100 happens because the cost is in dollars, and each dollar has 100 cents. So

r = \frac{100*4.42}{17} = \frac{442}{17} = 26

6 0
4 years ago
Prime factorization of 112
e-lub [12.9K]

Answer:

112 = 1 x 112, 2 x 56, 4 x 28, 7 x 16, or 8 x 14. Factors of 112: 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Step-by-step explanation:


4 0
4 years ago
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Consider f(x) = 1.8x – 10 and g(x) = −4. Select the equation that can be used to find the input value at which f (x ) = g (x ),
VLD [36.1K]
F(x) = 1.8x - 10.....g(x) = -4

f(x) = g(x)

1.8x - 10 = -4
1.8x = -4 + 10
1.8x = 6
x = 6 / 1.8
x = 3.33 or 3 1/3
6 0
3 years ago
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A swimming pool has a rectangular base 10 ft long and 20 ft wide. The sides are 4 ft high, and the pool is half
Lostsunrise [7]

Answer:74880 ft.lb

Step-by-step explanation:

Given

Dimension of pool

base=10 ft

width=20 ft

height=4 ft

Pool is half filled

volume of Pool=10\times 20\times 2=400 ft^3

mass of water=\rho \times volume

mass=62.4\times 400=24,960 lb

This pool is in the form parallelepiped therefore average distance=\frac{4+2}{2}=3

Work = 249600\times 3=74880 ft.lb

7 0
3 years ago
Santiago is eight years younger than Juan is today. If, in four years, Santiago will be half Juan’s age, how old is Santiago tod
kvv77 [185]

Answer:

d) 4.

Step-by-step explanation:

Let Santiago be x years old today.

Then Juan is x + 8 years old.

In 4 years Santiago will be x + 4 years.

In 4 years Juan will be x + 12 years.

From the given information:

x + 4 = 0.5(x + 12)

x = 0.5x + 6 - 4

0.5x = 2

x = 2 / 0.5

x = 4.

7 0
4 years ago
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