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3 years ago

Someone help me please

Mathematics

1 answer:

kozerog [31]3 years ago

8 0

Answer:

24/24, 1/9, 20/32, 8/8, 3/4

Step-by-step explanation:

Blank 1 = 24/24

24/1 = 24, 48/2 = 24

Blank 2 = 1/9

3/3 = 1, 27/3 = 9

Blank 3 = 20/32

5*4 = 20, 8*4 = 32

Blank 4 = 8/8

48/6 = 8, 56/7 = 8

Blank 5 = 3/4

21/7 = 3, 28/7 = 4

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Write an equation for the nth term of the arithmetic sequence.

tresset_1 [31]

Answer:

Step-by-step explanation:

3, 9, 15, 21, ...

9-3 = 6; 15-9 = 6; 21-15 = 6 ⇒ d = 6

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difference: d = 6

so the formula:

$a_n=a+d(n-1)\\\\a_n=69+6(n-1)\\\\a_n =3+6n-6\\\\\underline{a_n=6n-3}$

and:

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3 years ago

Rectangle ABCD has a perimeter of 32 units and will

AlladinOne [14]

Answer:

Check below

Step-by-step explanation:

1) Check the rectangle below with a line k, the axis of rotation in the center of the figure.

2) Since it has a perimeter of 32 units and it is to be rotated about the line, the solid to be created it is a cylinder. As you can see below.

3) Let's calculate its radius, based on the information given, i.e. the perimeter:

$2p=32\\2p=b+b+h+h\\2p=2(b+h)\\2(b+h)=32\\b+h=16\\b.h=60\\\\b=10\: and \:h=6$

Since the line of rotation is the center, and the radius is half the line segment of the basis, then the radius is 5.

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3 years ago

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3 years ago

Kennedy and Kenyon are meeting at Dave and Buster’s to play video games after school one day. They arranged to meet at 4:45. Ken

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Step-by-step explanation:

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3 years ago

Read 2 more answers

PLEASE HELP ME, I HAVE NO IDEA! Find an equation for the line below.

irga5000 [103]

9514 1404 393

Answer:

y -2 = -2/3(x +4)

Step-by-step explanation:

There are several different forms of the equation for a line. Each is useful in its own way. Here, the line crosses the y-axis at a point between integer values, so using that intercept point could be problematical. That suggests the "point-slope" form of the equation for a line would be a better choice.

That form is ...

y -k = m(x -h) . . . . . . . line with slope m through point (h, k)

The two marked points are (-4, 2) and (5, -4). All we need is the slope.

The slope is given by the formula ...

m = (y2 -y1)/(x2 -x1) . . . . . . . . where the given points are (x1, y1) and (x2, y2)

m = (-4 -2)/(5 -(-4)) = -6/9 = -2/3

Using the first point, the equation for the line can now be written as ...

y -2 = -2/3(x -(-4))

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3 years ago