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lord [1]
3 years ago
9

Is 1/5 a rational number?? I need help ASAP

Mathematics
2 answers:
AVprozaik [17]3 years ago
8 0
\frac{1}{5} is a rational number because it can be put as a fraction. An Irrational numbers cannot be a fraction since they are continuous (unless you estimate/round them up)  
Mashcka [7]3 years ago
6 0
1/5 is a rational number because when you convert it into decimal form, it is a terminal decimal; 0.2. 
Hope that answered your question.
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The region bounded by y=x^2+1, y=x, x=-1, x=2 with square cross sections perpendicular to the x-axis.
VLD [36.1K]

Answer:

The bounded area is 5 + 5/6 square units. (or 35/6 square units)

Step-by-step explanation:

Suppose we want to find the area bounded by two functions f(x) and g(x) in a given interval (x1, x2)

Such that f(x) > g(x) in the given interval.

This area then can be calculated as the integral between x1 and x2 for f(x) - g(x).

We want to find the area bounded by:

f(x) = y = x^2 + 1

g(x) = y = x

x = -1

x = 2

To find this area, we need to f(x) - g(x) between x = -1 and x = 2

This is:

\int\limits^2_{-1} {(f(x) - g(x))} \, dx

\int\limits^2_{-1} {(x^2 + 1 - x)} \, dx

We know that:

\int\limits^{}_{} {x} \, dx = \frac{x^2}{2}

\int\limits^{}_{} {1} \, dx = x

\int\limits^{}_{} {x^2} \, dx = \frac{x^3}{3}

Then our integral is:

\int\limits^2_{-1} {(x^2 + 1 - x)} \, dx = (\frac{2^3}{2}  + 2 - \frac{2^2}{2}) - (\frac{(-1)^3}{3}  + (-1) - \frac{(-1)^2}{2}  )

The right side is equal to:

(4 + 2 - 2) - ( -1/3 - 1 - 1/2) = 4 + 1/3 + 1 + 1/2 = 5 + 2/6 + 3/6 = 5 + 5/6

The bounded area is 5 + 5/6 square units.

3 0
2 years ago
Please help I am confused I would really appreciate it! I know I need to find a percent but I am not sure how.
Klio2033 [76]

Answer:

it should be 90

Step-by-step explanation:

I hope this helps!

8 0
3 years ago
Simplify:<br><br> x^3 + 4y^3 - 2x^3 +2y^3
antiseptic1488 [7]
X^3+4y^3-2x^3+2y^3
x^3-2x^3+4y^3+2y^3
-x^3+6y^3
4 0
3 years ago
Read 2 more answers
2(5x + 3) + 2 = 10x + 6 <br> A-one solution <br> B-infinitely many solutions <br> c-no solution
uysha [10]

Answer:

C

Step-by-step explanation:

Given

2(5x + 3) + 2 = 10x + 6 ← distribute and simplify left side

10x + 6 + 2 = 10x + 6

10x + 8 = 10x + 6 ( subtract 6 from both sides )

10x + 2 = 10x ( subtract 10x from both sides )

2 = 0 ← not possible

This indicates the equation has no solution

8 0
3 years ago
Read 2 more answers
value mart is advertising a back to school sale on notebook a pack of 8 notebooks sells for 7.15 where as a 6 pack of the same b
Morgarella [4.7K]

Answer:

6 notebooks  for  5.25 is a BETTER BUY.

Step-by-step explanation:

Here, according to the question:

A)  8 notebooks sells for 7.15

\textrm{Cost of 1 notebook} = \frac{\textrm{Cost of n notebooks}}{\textrm{n}}

So, here cost of 1 notebook = (\frac{7.15}{8} ) = 0.893

⇒Here the cost of 1 notebook = $0.893

B)  6 notebooks sells for  5.25

\textrm{Cost of 1 notebook} = \frac{\textrm{Cost of n notebooks}}{\textrm{n}}

So, here cost of 1 notebook = (\frac{5.25}{6} ) = 0.875

⇒Here the cost of 1 notebook = $0.875

Now, as we can see   $0.893 >  $0.875

⇒ the cost of 1 notebook is MORE if we buy 8 notebooks sells for 7.15.

Hence, 6 notebooks  for  5.25 is a BETTER BUY.

4 0
3 years ago
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