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DiKsa [7]
3 years ago
6

H(n) = -10 + 12n Complete the recursive formula of h(n). h(1) = h(n) = h(n-1)+

Mathematics
1 answer:
OlgaM077 [116]3 years ago
5 0

Answer:

h(n) = h(n - 1) + 12

Step-by-step explanation:

Generate the first few terms using the explicit formula

h(1) = - 10 + 12 = 2

h(2) = - 10 + 24 = 14

h(3) = - 10 + 36 = 26

h(4) = - 10 + 48 = 38

This is an arithmetic sequence. To find a term in the sequence add 12 to the previous term, thus

h(n) = h(n - 1) + 12 with h(1) = 2

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To find out how much he makes per week, take the amount and divide it by the week. 

1520/4=380. 

He makes 380 per week.
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3 years ago
Assuming a normal distribution, families spends an average of $500 on their monthly cell phone bills with a standard deviation o
lara [203]
The probability is 0.69.

We find the z-scores that correspond with each end of the range we're looking for.  To find a z-score, we use the formula:
z=\frac{X-\mu}{\sigma}
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Using a z-table (http://www.z-table.com) we see that the area under the curve left of the score 350 would be 0.228.  The area under the curve left of the score 400 would be 0.918.  To find just the range between 350 and 400, we subtract the area left of 350 from the area left of 400; this will give us just from 350 to 400:

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8 0
3 years ago
Cv0627
kari74 [83]

Answer:

dr. potter provides 54 vaccinations TOTAL (including both measles and polio).

p+m=54

since there are 4 doses of polio and of measles, you have to use a variable to distinguish how many doses were given for measles and polio out of 142 given doses.

4p+2m=142

p+m=54

4p+2m=142

^^system of equation

p+m=54

4p+2m=142

p=54-m

4p+2m=142

(substitute 54-m to the equation)

4(54-m)+2m=142

m=37

(collect like terms, then substitute the value of m into the first equation)

p=54-37

p=17

(m, p)=(37, 17)

Step-by-step explanation:

i hope this helps, sorry for the wait

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4 0
3 years ago
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Graph <br> What is the slope of the line?
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Answer:

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:( sorry I would answer it if it had a graph

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