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zimovet [89]
4 years ago
12

Consider the following polynomial.

Mathematics
2 answers:
LenaWriter [7]4 years ago
4 0
Answers:
1) 6
2) 5
3) 8
4)5ab^5
Mkey [24]4 years ago
4 0

-2ab^3b^2+5ab^5+7b^4+8

As we can see that the exponents over the variables of first term are 1 , 3 and 2 , so total becomes 1+3+2 = 6 ,

Exponents over variables of second term are 5

Exponent over variables of third term is 4 and

Exponent over the variables of last term is 0 .

It means they are already arranged in the proper form of a polynomial.

-2ab^3b^2+5ab^5+7b^4+8


Hence

a) Degree = 1+3+2 = 6

b) Leading coefficient = -2

c) Constant term = 8

d) leading term = -2ab^3b^2

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What is the volume of the composite figure with the dimensions shown in the 3 views? (Round to the nearest tenth)
givi [52]

Answer:

278.9 units^3 to the nearest tenth.

Step-by-step explanation:

This is a cylinder on the bottom . resting on the cylinder is a prism.

Volume of the cylinder = π r^2 h  where r = 1/2 * 7 = 3.5 and h = 6.

V = π * 3.5^2 * 6 = 230.907 units^3.

Volume of the prism = l*w*h

= 4*4*3 = 48 units^3.

Volume of the composite figure = 230.907 + 48

= 278.9.

6 0
3 years ago
A rectangle has a perimeter of 30 inches if the width is 3 times it’s length find it dimension
kakasveta [241]

Answer:

Length = 11.25 and width = 3.75 inches.

Step-by-step explanation:

You must mean that the length is 3 times its width.

If the the width is x then the length is 3x inches.

Perimeter = 2*length + 2*width.

2(3x) + 2x = 30

6x + 2x = 30

8x = 30

x = 3.75.

3x = 11.25.

7 0
3 years ago
Traveling with the current, a boat covers a distance 1.5 times greater than traveling against the current in the same amount of
jeka94
Let the speed of the current equal c
and the speed of the boat in still water equal b.

b + c = 1.5 (b - c)
b + c = 1.5b - 1.5c
0.5b = 2.5c
b = 5c

The speed of the current is 1.5 mph so
b = 5 * 1.5 = 7.5 mph
4 0
3 years ago
The product of 5 and a number n is at least 25.
Afina-wow [57]
5x2+15=25 is the answer
3 0
3 years ago
If 2&gt; -a, then a &lt; -2.<br> True<br> False
Nonamiya [84]

Answer:

False

Step-by-step explanation:

Flip the equation.

−a<2

Divide both sides by -1.

a>−2

4 0
3 years ago
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