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Andrej [43]
2 years ago
11

Fill in the missing term on each line. Simplify any fractions.

Mathematics
1 answer:
e-lub [12.9K]2 years ago
7 0

Answer:

Step-by-step explanation:

4t + 11 = 19

Subtract 11 from both sides

4t = 19 - 11

4t = 8

Divide both sides by 4

t = 8/4

t = 2

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⦁ Find the sum of the series . 15 sigma n=1, (2n-1) Show your work
sergejj [24]

Answer:

225

Step-by-step explanation:

The sum of this series is given by the formula:

S_n=\frac{n}{2}[2a+(n-1)d]

Where

S_n is the sum

a is the first term (we get this by plugging in n = 1 into "2n-1", we have 2(1) - 1 = 1)

n is the number of terms (the sum is defined for n = 1 to n = 15, so 15 terms)

d is the common different (the difference is successive terms. Here, 2nd term would be 2(2) - 1 = 3, and first term was 1, so d = 3 -1 = 2)

<em>plugging in the info, we will get the sum:</em>

<em>S_n=\frac{n}{2}[2a+(n-1)d]\\S_{15}=\frac{15}{2}[2(1)+(15-1)(2)]\\=225</em>

<em>The sum is 225</em>

4 0
3 years ago
Find the formula for the nth term of the arithmetic sequence -39, 61, 161, 261, ...
maksim [4K]
<h3>Given that it is arithmetic</h3>

d = a_{2} - a_{1} = 61 - ( - 39) = 100

a_{n} = a_{1} + (n - 1)d \\ a_{n} = - 39+ 100 (n - 1) \\ a_{n} =  - 39 + 100n - 100 \\ a_{n} =  - 139 + 100n

6 0
2 years ago
Last week Amy ran 31 miles more than Ryan. Amy ran 40 miles. How many miles did Ryan run? I have to write an equation and solve
Korvikt [17]
Variable x is ryans miles
amy-ryan=answer
40-31=x
x=9
ryan ran 9 miles
hope this helps
40-31=x is the equation
8 0
3 years ago
Read 2 more answers
If anyone knows this can you let me know please. :) thank you. No scams please
Genrish500 [490]

Answer:

h(0)= -7

Step-by-step explanation:

that is my answer

3 0
3 years ago
A certain high school reported that only 74% of its students enroll in a math class during senior year. If
denis-greek [22]

Answer:

<em>550 </em><em>students are in the school.</em>

Step-by-step explanation:

The way I found my answer was by first turning<em> 74% into a decimal</em>, which is <em>0.74</em>.  Then I <em>divided 407 </em>by<em> 0.74</em> and I got<em> 550</em>.  Therefore, <em>550 is our answer.</em>

5 0
2 years ago
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