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jeka94
3 years ago
10

If the statement, "If I am hungry, then I am not happy," is assumed to be true, is its negation, "If I am not hungry, then I mus

t be happy," also always true?
Mathematics
1 answer:
garik1379 [7]3 years ago
3 0
The negation isn't always true, as you can be unhappy while also not being hungry. 
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Which list of decimals is not in descending order?
Archy [21]
0.0166 because it’s bigger than all other numbers
3 0
3 years ago
Read 2 more answers
Match these items match the items in the left column to the items in the right column
Setler [38]
1) Base
2) Exponent
3) Metric system
5 0
3 years ago
LAST ONE<br><br> Find the range of the data.<br><br> 16, 55, 61, 92, 31<br><br> range =
agasfer [191]

Answer:

76

Step-by-step explanation:

arrange the data set from least to greatest:

16, 31, 55, 61, 92

Range = Highest value - Lowest value = answer

Range = 92 - 16 = 76

4 0
3 years ago
Given the equations x + y = 20 and x - y = 8, which values of x and y
hammer [34]

Answer:

x = 14 and y = 6

Step-by-step explanation:

To find the solution to this problem, we plug in the values of x and y from each answer choice and simplify.

1.

  • (11) + (9) = 20. 20 = 20.
  • (11) - (9) = 20. 2 ≠ 8.

2.

  • (9) + (11) = 20. 20 = 20
  • (9) - (11) = 20. -2 ≠ 8.

3.

  • (14) + (6) = 20. 20 = 20.
  • (14) - (6) = 8. 8 = 8.

4.

  • (6) + (14) = 20. 20 = 20
  • (6) - (14) = 8. -8 ≠ 8.

Therefore, the correct answer is x = 14 and y = 6.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

6 0
2 years ago
Use the Fundamental Theorem of Calculus to find the area of the region between the graph of the function x5 + 8x4 + 2x2 + 5x + 1
belka [17]

Answer:

The area of the region between the graph of the given function and the x-axis = 25,351 units²

Step-by-step explanation:

Given  x⁵ + 8 x⁴ + 2 x² + 5 x + 15

If 'f' is a continuous on [a ,b] then the function

            F(x) = \int\limits^a_b {f(x)} \, dx

By using integration formula

\int{x^n} \, dx = \frac{x^{n+1} }{n+1} +c

Given  x⁵ + 8 x⁴ + 2 x² + 5 x + 15 in the interval [-6,6]

 \int\limits^6_^-6} (x^{5}  + 8 x^{4}  + 2 x^{2}  + 5 x + 15) )dx

<em>On integration , we get</em>

=   (\frac{x^{6} }{6} + \frac{8 x^{5} }{5} + 2 \frac{x^{3} }{3} +\frac{5 x^{2} }{2} + 15 x)^{6} _{-6}

F(x) = \int\limits^a_b {f(x)} \, dx = F(b) -F(a)

= (\frac{6^{6} }{6} + \frac{8 6^{5} }{5} + 2 \frac{6^{3} }{3} +\frac{5 6^{2} }{2} + 15X 6) - ((\frac{(-6)^{6} }{6} + \frac{8 (-6)^{5} }{5} + 2 \frac{(-6)^{3} }{3} +\frac{5 (-6)^{2} }{2} + 15 (-6))

After simplification and cancellation we get

 =  \frac{2 X 8 X (6)^{5} }{5} + \frac{2 X 2 X (6)^3}{3} + 2 X 15 X 6

on calculation , we get

= \frac{124,416}{5} + \frac{864}{3} + 180

On L.C.M  15

= \frac{124,416 X 3 + 864 X 5 + 180 X 15}{15}

= 25 351.2 units²

<u><em>Conclusion</em></u>:-

<em>The area of the region between the graph of the given function and the x-axis = 25,351 units²</em>

6 0
3 years ago
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