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Murrr4er [49]
3 years ago
8

the elves were working when the head elf came in and there was only 2 weeks left until christmas. what percentage of the month w

as left before christmas?
Mathematics
1 answer:
valentina_108 [34]3 years ago
4 0

Answer:

45 %

Step-by-step explanation:

Time left until Christmas = 2 weeks

                                         = 2 * 7 days                [since 1 week = 7 days]

                                         = 14 days

Number of days in December = 31

Percentage of the month left before Christmas = \frac{Time left until Christmas}{Number of days in December} * 100

= \frac{14}{31} * 100

= 0.45 * 100

= 45 %

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given the recursive formula for a geometric sequence find the common ratio the 8th term and the explicit formula.did I set these
lesya [120]

Answer:


Step-by-step explanation:

1)Since we know that recursive formula of the geometric sequence is

a_{n}=a_{n-1}*r

so comparing it with the given recursive formula a_{n}=a_{n-1}*-4

we get common ratio =-4

8th term= a_{1}*(r)^{n-1}=-2*(-4)^{7} =32768.

Explicit Formula =-2*(-4)^{n-1}

2) Comparing the given recursive formula a_{n}=a_{n-1}*-2

with standard recursive formula a_{n}=a_{n-1}*r

we get common ratio =-2

8th term= a_{1}*(r)^{n-1}=-4*(-2)^{7} =512.

Explicit Formula =-4*(-2)^{n-1}

3)Comparing the given recursive formula a_{n}=a_{n-1}*3

with standard recursive formula a_{n}=a_{n-1}*r

we get common ratio =3

8th term= a_{1}*(r)^{n-1}=-1*(3)^{7} =-2187.

Explicit Formula =-1*(3)^{n-1}

4)Comparing the given recursive formula a_{n}=a_{n-1}*-4

with standard recursive formula a_{n}=a_{n-1}*r

we get common ratio =-4

8th term= a_{1}*(r)^{n-1}=3*(-4)^{7} =-49152.

Explicit Formula =3*(-4)^{n-1}

5)Comparing the given recursive formula a_{n}=a_{n-1}*-4

with standard recursive formula a_{n}=a_{n-1}*r

we get common ratio =-4

8th term= a_{1}*(r)^{n-1}=-4*(-4)^{7} =65536.

Explicit Formula =-4*(-4)^{n-1}

6)Comparing the given recursive formula a_{n}=a_{n-1}*-2

with standard recursive formula a_{n}=a_{n-1}*r

we get common ratio =-2

8th term= a_{1}*(r)^{n-1}=3*(-2)^{7} =-384.

Explicit Formula =3*(-2)^{n-1}

7)Comparing the given recursive formula a_{n}=a_{n-1}*-5

with standard recursive formula a_{n}=a_{n-1}*r

we get common ratio =-5

8th term= a_{1}*(r)^{n-1}=4*(-5)^{7} =-312500.

Explicit Formula =4*(-5)^{n-1}

8)Comparing the given recursive formula a_{n}=a_{n-1}*-5

with standard recursive formula a_{n}=a_{n-1}*r

we get common ratio =-5

8th term= a_{1}*(r)^{n-1}=2*(-5)^{7} =-156250.

Explicit Formula =2*(-5)^{n-1}

6 0
3 years ago
Enter the equation of the line in slope-intercept form.
Mars2501 [29]

Answer:

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Step-by-step explanation:

7 0
3 years ago
The following numerically ordered sequence of numbers has a mean of 17 and a median of 18.
lianna [129]
The values of a and b equals 10
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Uma is planning to decorate a blanket with a triangular shape that has a base of 5 centimeters and a height of 7 centimeters. Sh
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Answer:

<h2>1,190cm²</h2>

Step-by-step explanation:

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Area of the blanget = 1/2 * 7 * 5

Area of a blanket = 35/2 = 17.5cm²

If she plans to cut out 68 triangles with these dimensions, the total area will be total number of triangles * area of one triangle i.e 68 * 17.5 = 1,190cm²

6 0
3 years ago
Let f(x) = 4x + 3
docker41 [41]

Answer: f(x) = 4x + 3

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(f · g)(5) = (23)(-5)

(f · g)(5) = -115

7 0
3 years ago
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