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3 years ago

Is -2/9 greater or less then -4/9

Mathematics

2 answers:

kramer3 years ago

6 0

-2/9 is greater than -4/9.

Because: since both numbers are negatives, then the one that is the closest to zero, is bigger.

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↑ ↑ ↑

-4.9 -2/9 0

Setler [38]3 years ago

4 0

Greater than! With negative numbers, the number closer to 0 is always the greater value. The number farther away from 0 is the lesser value. When we compare fractions with the same denominator, we have to compare to numerator. -2 is greater than -4, therefore -2/9 is greater than -4/9.

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A 0.5-kg ball accelerated at 50 m/s2 . What force was applied?

charle [14.2K]

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2 years ago

Evaluate the function at the given numbers( correct to six decimal places). Use the results to guess the value of the limit or e

netineya [11]

Answer:

Value of the limit is 0.5.

Step-by-step explanation:

Given,

$F(x)=\frac{e^x-1-x}{x^2}$

When,

$x=1,F(1)=frac{e^1-1-1}{1}=e-2=0.718281$

$x=0.5, F(0.5)=\frac{e^0.5-1-0.5}{(0.5)^2}=0.594885$

$x=0.1, F(0.1)=\frac{e^0.1-1-0.1}{(0.1)^2}=0.517091$

$x=0.05, F(0.05)=\frac{e^0.05-1-0.05}{(0.05)^2}=0.508438$

$x=0.01, F(0.01)=\frac{e^0.01-1-0.01}{(0.01)^2}=0.501670 \hfill (1)$

Correct upto six decimal places.

Now,

$\lim_{x\to 0}F(x)=\lim_{x\to 0}\frac{e^x-1-x}{x^2}$ $(\frac{0}{0})$ form, applying L-Hospital rule that is differentiating numerator and denominator we get,

$\lim_{x\to 0}F(x)$

$=\lim_{x\to 0}\frac{e^x-1}{2x}$ $(\frac{0}{0})$ form.

$=\lim_{x\to 0}\frac{e^x}{2}=\frac{1}{2}=0.5\hfill (2)$

Limit exist and is 0.5. That is according to (1) we can see as the value of x lesser than 1 and tending to near 0, value of the function decreases respectively. And from (2) it shows ultimately it decreases and reach at 0.5, consider as limit point of F(x).

8 0

3 years ago

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sdas [7]

Answer: y= -1/2x + 5/2

Step-by-step explanation:

3x = 15 -6y

+6y + 6y

3x +6y =15

-3x -3x

6y= 15-3x divide both sides by 6

y= 15/6 - 3/6x

in slope intercept form us y= -3/6x + 15/6 in simplest form is y= -1/2x + 5/2

3 0

3 years ago

Which of the following points is in the solution set of y>-x² + 5?

eimsori [14]

Uh I did not learn this yet but I think The answer is 2,4

7 0

2 years ago

Please help me fast i need help

Rasek [7]

Answer:

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third quartile - 31

maximum - 40

Step-by-step explanation:

7 0

3 years ago