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3 years ago

Here are the first four terms in an arithmetic sequence.

Mathematics

2 answers:

finlep [7]3 years ago

7 0

Answer:

Step By Step

Step-by-step explanation:

An arithmetic sequence is defined as

an=a+d(n-1) where an=nth term, a=initial term, n=term number, and d=common difference

For sequence 1,4,7... a=1 and d=4-1=7-4=3 so

an=1+3(n-1)

an=3n-2, so the 30th term is

an=3(30)-2

an=88

monitta3 years ago

6 0

Answer:

Step-by-step explanation:

An arithmetic sequence is defined as

an=a+d(n-1) where an=nth term, a=initial term, n=term number, and d=common difference

For sequence 1,4,7... a=1 and d=4-1=7-4=3 so

an=1+3(n-1)

an=3n-2, so the 30th term is

an=3(30)-2

an=88

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Given the system of constraints name all vertices. Then find the maximum value of the given objective

larisa86 [58]

Answer:

$35$

Step-by-step explanation:

The constraints are

The red line represents the function

$y\leq \dfrac{1}{3}x+1$

At $y=0$

$0=\dfrac{1}{3}x+1\\\Rightarrow -1=\dfrac{1}{3}x\\\Rightarrow x=-3$

At $x=0$

$y=0+1\\\Rightarrow y=1$

Two points are $(-3,0),(0,1)$

The blue line represents the function

$5\geq y+x$

at $y=0$

$5=x$

at $x=0$

$y=5$

Two points are $(5,0),(0,5)$

The other two constraints are $x\geq 0$ , $y\geq 0$ . So, the point has to be in the first quadrant

From the graph it can be seen there are two points where the function will be maximum let us check them.

$(3,2)$

$7x-2y=7\times 3-2\times 2=17$

$(5,0)$

$7x-2y=7\times 5-2\times 0=35$

So, the maximum value of the function is $35$ .

3 0

2 years ago

10 out of every 65 students order pizza for lunch. There are 416 students at her school. How many students will eat pizza at her

Studentka2010 [4]

Answer:

Step-by-step explanation:

First, you divide 416 by 65. This gets you 6.4. But it's not 1 in 65 eating pizza, it's 10 out of 65, so then you multiply 6.4 by 10, getting 64.

3 0

3 years ago

-2y + 2x = 10 for x please help

AleksAgata [21]

-2y+2x=10
2x=10+2y
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7 0

3 years ago

Read 2 more answers

Draw the multiplication table on the P=(3,5,7,9) in module 12

Lisa [10]

Answer:

Find the attached file for the solution

Step-by-step explanation: To draw the multiplication table on the P=(3,5,7,9) in module 12, create the table where all the given parameters will be at the top of horizontal axis and vertical axis,

When multiply by each other, any value that is below 12 will be written down while the value greater than 12 will be divided by 12 and the remainder will be written down.

Find the attached file for the solution and table.

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3 years ago

Mario had 9 green,8 red 10 brown 6 orange and 9 blue M &M's. What fraction of the M&M's are orange?

IrinaK [193]

2/11 or 6/33
hope it helps

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3 years ago