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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?

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