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3 years ago

Find the first, fourth, and eighth terms of the sequence. A(n) = −3 ∙ 2^x − 1

1 answer:

8 0

$\bf A(n)=-3\cdot 2^{n-1}\\\\
-------------------------------\\\\
\textit{first one}\qquad A(1)=-3\cdot 2^{1-1}
\\\\\\
\textit{fourth one}\qquad A(4)=-3\cdot 2^{4-1}
\\\\\\
\textit{eighth one}\qquad A(8)=-3\cdot 2^{8-1}$

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3 years ago

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Oxana [17]

Answer:

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Step-by-step explanation:

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3 years ago

Julia rides her horse 18 km with a constant speed of 6km/hr and another 24 km with a constant speed of 12 km/hr. What is her ave

nlexa [21]

Answer:

8.4 km/hr.

Step-by-step explanation:

We have been given that Julia rides her horse 18 km with a constant speed of 6 km/hr.

Let us find the time taken by Julia to cover a distance of 18 km.

$\text{Time}=\frac{\text{Distance}}{\text{Speed}}$

$\text{Time taken to cover 18 km}=\frac{18\text{ km}}{\frac{6\text{km}}{\text{hour}}}$

$\text{Time taken to cover 18 km}=\frac{18\text{ km}}{6}\times\frac{\text{hour}}{\text{km}}$

$\text{Time taken to cover 18 km}=\frac{18}{6}\times\text{hour}$

$\text{Time taken to cover 18 km}=3\text{ hour}$

We are also told that she rides another 24 km with a constant speed of 12 km/hr.

Let us find the time taken by Julia to cover a distance of 24 km.

$\text{Time taken to cover 24 km}=\frac{24\text{ km}}{\frac{12\text{km}}{\text{hour}}}$

$\text{Time taken to cover 24 km}=\frac{24\text{ km}}{12}\times\frac{\text{hour}}{\text{km}}$

$\text{Time taken to cover 24 km}=\frac{24}{12}\times\text{hour}$

$\text{Time taken to cover 24 km}=2\text{ hour}$

Since we know that $\text{Average speed}=\frac{\text{Total distance}}{\text{Total time}}$ .

Upon substituting our values in above formula we will get,

$\text{Julia's average speed}=\frac{18\text{ km}+24\text{ km}+}{3\text{ hour}+2\text{ hour}}$

$\text{Julia's average speed}=\frac{42\text{ km}}{5\text{ hour}}$

$\text{Julia's average speed}=\frac{8.4\text{ km}}{\text{ hour}}$

Therefore, Julia's average speed is 8.4 km per hour.

5 0

4 years ago

A furnace repair person charges an initial fee of $80 plus $30 per hour to do repairs.

Svetlanka [38]

Answer:

A) The repair bill would be at least $320 after 8 hours

B) The repairman would have worked for 5 hours

Step-by-step explanation:

A) Set up your equation with x equaling hours

30x + 80 = 320

subtract 80 to the opposite side of the equation

30x = 240

divide by 30

30x/30 = 240/30

x = 8

B) Set up your equation with x equaling hours

30x + 80 = 230

subtract 80 to the opposite side of the equation

30x = 150

divide by 30

30x/30 = 150/30

x = 5

7 0

3 years ago