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docker41 [41]
3 years ago
5

How would i find the explicit formula for the arithmetic sequence -11,-3,5,12

Mathematics
1 answer:
dimulka [17.4K]3 years ago
5 0

Arithmetic Sequence Formula:

a_n=a_1+(n-1)d

We have:

a_1=-11,\ a_2=-3,\ a_3=5,\ a_4=12,\ ...

d=a_{n+1}-a_n\to d=-3-(-11)=-3+11=8

Substitute:

a_n=-11+(n-1)(8)=-11+8n-8=8n-19

Answer: a_n=8n-19

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Kim orders catering from Midtown Dinerfor $35. She spends $5 on a large order of potato salad and the rest on turkey sandwich. E
aivan3 [116]

Answer:

Kim had bought 12 sandwiches.

Step-by-step explanation:

Given:

Amount spend at Midtown Dine = $35

Amount spend on large order of potato salad = $5

Cost of each sandwich = $2.5

We need to find the number of sandwich did Kim bought.

Solution:

Let the number of sandwich Kim bought be 'x'.

Now we know that;

Amount spend at Midtown Dine is equal to sum of Amount spend on large order of potato salad and number of sandwich Kim bought multiplied by Cost of each sandwich.

framing in equation form we get;

5+2.5x=35

Subtracting both side by 5 we get;

5+2.5x-5=35-5\\\\2.5x=30

Dividing both side by 2.5 we get;

\frac{2.5x}{2.5}=\frac{30}{2.5}\\\\x=12

Hence Kim had bought 12 sandwiches.

3 0
3 years ago
True or false: Outliers can cause data sets to be skewed.
Natali [406]
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4 0
2 years ago
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5. Simplify the expression 49. (1 point)
padilas [110]

Answer:

7

Step-by-step explanation:

the square root of 49 is 7 since 7 x 7 = 49

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2 years ago
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Tiana can clear a football field of debris in 3 hours. Jacob can clear the same field in 2 hours. If they decide to clear the fi
Lapatulllka [165]
Let us determine each of their rates of work:

Since Tiana can clear the field in 3 hours, meaning she can do 1/3 of the work per hour.

In the same way, Jacob can do 1/2 of the work per hour. 

Now, what would be the rate of work if they were working together? Let's look at it like this:

Hours to complete the job:
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Work done per hour:
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Jacob = 1/2
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If you add their labor together:

1/3 + 1/2 = 1/t
5/6 = 1/t
t = 6/2 = 1.2

Together, they can clear the field in 1.2 hours.
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3 years ago
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6. Determine the Distance between (8, -2) and (9, 3) ?
cluponka [151]
D none of the above is the answer
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2 years ago
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