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NNADVOKAT [17]
3 years ago
9

Are 2x^3y & 2xy^2 like terms

Mathematics
1 answer:
AveGali [126]3 years ago
4 0

Answer:

No

Step-by-step explanation:

Let's define our 2 terms first.

2x³y

2xy²

We see here that one term has a x³y and the other has a xy² term. Since they are not the same, the 2 terms are <em>not</em> like terms.

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Factoe pair of 80 that has a sum of 21
sleet_krkn [62]
5 and 16 
5x16= 80
5+16=21
5 0
4 years ago
Find the indicated sum of each sequence S8 of -2,-13,-24,-35
valentina_108 [34]

Answer:

The sum of the arithmetic sequence is S_{8}=-324.

Step-by-step explanation:

A sequence is a set of numbers that are in order.

In an arithmetic sequence the difference between one term and the next is a constant.  In other words, we just add the same value each time infinitely.

If the first term of an arithmetic sequence is a_1 and the common difference is d, then the nth term of the sequence is given by:

                                                  a_{n}=a_{1}+(n-1)d

For the sequence

                                                -2,-13,-24,-35,...

The pattern is continued by adding -11 to the last number each time.

An arithmetic series is the sum of an arithmetic sequence.  We find the sum by adding the first, a_1 and last term, a_n, divide by 2 in order to get the mean of the two values and then multiply by the number of values, <em>n</em>

<em>                                                     </em>S_{n}=\frac{n}{2}(a_{1}+a_{n})<em />

The sum of the arithmetic sequence is

a_{8}=-2+(8-1)(-11)=-2-77=-79

S_{8}=\frac{8}{2}(-2-79})=4\left(-2-79\right)=4\left(-81\right)=-324

3 0
3 years ago
A cylindrical container has a radius of 3 centimeters and a height of 12 centimeters. The container is filled with water up to t
evablogger [386]

Answer:

volume of empty space = 141.3 cm³

Step-by-step explanation:

volume of empty space = volume of the cylinder - volume of water

First, we need to calculate the volume of the container

volume of a cylinder = πr²h

 where r = radius of the container   and   h is the height of the container

r = 3cm  and h = 12 cm    π is a constant which is ≈ 3.14

volume of a cylinder = πr²h

                                  =3.14 × 3²×12

                                   =3.14×9×12

                                    =339.12 cm³

We will proceed to find the volume of water

since liquid will take the shape of its container,

then volume of water =  πr²h

r is the radius of the container   and    h is the height of the water

r = 3cm    and   h = 7cm      

volume of water =  πr²h

                             = 3.14 ×3²×7

                              =3.14×9×7

                              =197.82 cm³

volume of empty space = volume of the cylinder - volume of water

                                          =339.12 cm³    -    197.82 cm³

                                          = 141.3 cm³

OR

WE CAN SOLVE DIRECTLY

height of empty space = height of container - height of water

                                       = 12 - 7

                                        =5 cm

volume of empty space = πr²h

                                        =3.14×3²×5

                                        =3.14×9×5

                                         =141.3 cm³

volume of empty space = 141.3 cm³

4 0
3 years ago
What could be the base shape of a cylinder?
Len [333]

Answer:

Circle

Step-by-step explanation:

I believe the correct answer is the base shape of a cylinder would be circle. a cylinder is a closed solid that has two parallel (usually circular) bases connected by a curved surface.This is the most common kind, and if someone just says 'cylinder' this is usually what they mean. The bases can however be almost any curved shape, but the most common alternative to a circle is an ellipse. The shape would then be called an 'elliptical cylinder'. The vertical cross-section of a cylinder is a rectangle, and the horizontal cross-section is a circle.

Hope that was helpful.Thank you!!!

7 0
3 years ago
Read 2 more answers
I need help with these questions. PLEASE HELP
Svetach [21]
The answers are MK and PY and AH.
5 0
3 years ago
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