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anygoal [31]
3 years ago
9

What is the explicit formula for this geometric sequence? 5,10,20,40,80,160,...

Mathematics
1 answer:
Nadya [2.5K]3 years ago
6 0

Answer:

  an = 5·2^(n-1)

Step-by-step explanation:

The explicit formula for a geometric sequence with first term a1 and common ratio r is ...

  an = a1·r^(n-1)

Your sequence has a1=5 and r=2, so the explicit formula is ...

  an = 5·2^(n-1)

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If the team’s average time is less than one minute per leg, then the eighth graders earn 50 points. If not, the seventh graders
White raven [17]

Answer:

the seventh grader because the eighth graders got 58 which is more than 50 so the 7th grader would get the pts

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
HELP NEEDED PLEASE!!!
postnew [5]

Using vector concepts, it is found that:

The component form is of approximately (-9.58, 7,22). It means that the ship is about 9.58 miles to the west and about 7.22 miles to the north of where the ship left the port.

<h3>How can a vector be represented in component notation?</h3>

Given a magnitude M and angle \theta, then a vector V can be represented as follows in component notation:

V = (M\cos{\theta}, M\sin{\theta})

In this problem, the magnitude and the angle are given, respectively, by:

M = 12, \theta = 143^\circ

Hence:

V = [12cos(143º), 12sin(143º)] = (-9.58, 7,22).

Which means a displacement of 9.58 miles to the west(negative x = west) and 7.22 miles to the north(positive y = north).

The component form is of approximately (-9.58, 7,22). It means that the ship is about 9.58 miles to the west and about 7.22 miles to the north of where the ship left the port.

More can be learned about vectors at brainly.com/question/24606590

#SPJ1

8 0
3 years ago
An item that was selling for $72.00 was reduced to $60.00. Find the percent decrease in price. Show all your work.
dsp73
The formula to figure out the percentage increase or decrease is: 
<span>(new - old) / old * 100% </span>

<span>new = 60 </span>
<span>old = 72 </span>

<span>(60 - 72) / 72 * 100% </span>
<span>-12 / 72 * 100% </span>
<span>= -1/6 * 100% </span>
<span>= -0.1666... * 100% </span>
<span>≈ -16.667% </span>

<span>Because it is negative, that's a decrease. </span>

<span>Answer: </span>
<span>A decrease of about 16.7%</span>
8 0
4 years ago
Determine the solution, if it exists, for each system of linear equations. Verify your solution on the coordinate plane.
melisa1 [442]

Answer:

  (x, y) = (2, 1)

Step-by-step explanation:

Adding the two equations gives ...

  2y = 2

  y = 1 . . . . . divide by 2

Subtracting the second equation from the first gives ...

  0 = 6x -12

  0 = x -2 . . . . divide by 6

  2 = x

The solution is (x, y) = (2, 1).

__

The attached graph verifies this solution.

4 0
2 years ago
Do this problem please, its due today!
wel

Answer:

7

Step-by-step explanation:

8 0
3 years ago
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