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Nady [450]
3 years ago
11

What is the 8th term if your first four are 3,7,11,15

Mathematics
2 answers:
skelet666 [1.2K]3 years ago
8 0

Answer:

it's answer is 31.

Step-by-step explanation:

t1 = 3 = 4* 1 - 1

t2 = 7 = 4* 2 - 1

t3 = 11 = 4 * 3 - 1

t4 = 15 = 4* 4 - 1

----------------------

Tn = 4n -1

so the 8th term is

t8 = 4 * 8 - 1 = 31

amid [387]3 years ago
6 0
3,7,11,15,19,23,27,31

32 = 8th term.
The common difference is +4
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Sahil is putting together supply kits and has 36 packs of x pencils, 12 packs of y crayons, and 24 erasers.
miskamm [114]

Answer:

Step-by-step explanation:

a. use what's given in the question to write an equation

36x + 12y + 24e (using e as the variable for erasers)

b. 12 is the greatest common factor between the coefficients/ constant so factor it out

12 (3x + y + 2e)

12 kits

c. use the factored expression to see how many of each item

3x - 3 pencils

y - 1 crayon

2e - 2 erasers

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Step-by-step explanation:

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Step-by-step explanation:

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Can someone please help me with this geometry homework?
Leno4ka [110]

The distances between the two points, in units, are given as follows:

7. \sqrt{2}

8. 2\sqrt{17}

9. 3\sqrt{2}

10. 3\sqrt{5}

The midpoints are given as follows:

11. (7,-4.5).

12. (2,4).

13. (7,0.5).

14. (5.5,-1.5).

<h3>What is the distance between two points?</h3>

Suppose that we have two points, (x_1,y_1) and (x_2,y_2). The distance between them is given by:

D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

For item 7, the points are (-3,-2) and (-4,-3), hence the distance is:

D = \sqrt{(-4 + 3)^2 + (-3 + 2)^2} = \sqrt{2}

For item 8, the points are (-3,1) and (5,3), hence the distance is:

D = \sqrt{(5 + 3)^2 + (3 - 1)^2} = \sqrt{68} = 2\sqrt{17}

For item 9, the points are (-3,0) and (0,-3), hence the distance is:

D = \sqrt{(0 + 3)^2 + (-3 - 0)^2} = \sqrt{18} = 3\sqrt{2}

For item 10, the points are (1,-2) and (4,4), hence the distance is:

D = \sqrt{(4 - 1)^2 + (4 + 2)^2} = \sqrt{45} = 3\sqrt{5}

<h3>What is the midpoint concept?</h3>

The midpoint between two points is the halfway point between them, and is found using the mean of the coordinates.

Hence, for item 11, the midpoint is given by:

[0.5(9 + 5), 0.5(1-10)] = (7,-4.5).

For item 12, the midpoint is given by:

[0.5(-5 + 9), 0.5(7 + 1)] = (2,4).

For item 13, the midpoint is given by:

[0.5(9 + 5), 0.5(9 - 8)] = (7,0.5).

For item 14, the midpoint is given by:

[0.5(10 + 1), 0.5(4 - 7)] = (5.5,-1.5).

More can be learned about the distance between two points at brainly.com/question/18345417

#SPJ1

8 0
1 year ago
Keisha the trainer has two solo workout plans that she offers her clients: Plan A and Plan B. Each client does either one or the
gregori [183]

Answer:

Plan A last 0.75 hours or 45 minutes.

Plan B last 1.5 hours or 90 minutes.

Step-by-step explanation:

Let a be the number of hours that the plan A last, an b the number of hours of plan B. Then for the Wednesday you have:

2a+3b=6

And for the Thursday is:

6a+5b=12

Multiply the equation of Wednesday by -3:

-6a-9b=-18

Using the method of addition using this last equation and the equation of Thursday

-6a-9b=-18\\6a+5b=12\\--------\\-4b=-6\\b=\frac{-6}{-4}\\b=1.5 hours

Replacing the value of b in one of the equations

6a+5b=12\\6a+5(1.5)=12\\6a+7.5=12\\6a=12-7.5\\a=\frac{4.5}{6} \\a=0.75hours

6 0
3 years ago
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