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Amiraneli [1.4K]
3 years ago
9

What is the value of the natural logarithm when x=0.4 is rounded to the nearest hundredth?

Mathematics
2 answers:
tia_tia [17]3 years ago
5 0

Answer:

\ln 0.4 \approx -0.92

Step-by-step explanation:

Since x is lesser than 1, then value of its natural logarithm must be negative. Likewise, the natural logarithm is a transcendental function and an irrational number, then it can only be estimated by approximations. One approach is using Taylor Polynomials, whose approximation is:

\ln 0.4 \approx -0.92

PilotLPTM [1.2K]3 years ago
3 0
Hello : 
 ln (0.4) = - 0.92....( <span>rounded to the nearest hundredth )</span>
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Which of these expressions shows a correct way to set up the slope formula for the line that passes through the points (5, 0) an
vaieri [72.5K]

Answer:

C

Step-by-step explanation:

its c because if we input the numbers into the slope formula y2 - y1 over x2 - x1 it equals -6 - 0 over 6 - 5

3 0
3 years ago
Eliot needs to replace a window that is in the shape of a semicircle.
USPshnik [31]

Answer:

7

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Step-by-step explanation:

6 0
2 years ago
Evaluate the following
IRINA_888 [86]

(a) [\frac{9}{2.6}  - \frac{2.5^{2} }{2.5} ]^{2}

Answer:

[\frac{9}{2.6}  - \frac{2.5^{2} }{2.5} ]^{2}

= [\frac{9}{2.6}  - \frac{2.5*2.5 }{2.5} ]^{2}

= [\frac{9}{2.6}  - \frac{2.5}{1} ]^{2}

*canceling 2.5 in numerator and denominator*

= [\frac{9-(2.5)(2.6)}{2.6} ]^2\\*Using L.C.M of 2.6 and 1 which comes out to be '2.6'= [\frac{9-(6.5)}{2.6} ]^2\\= [\frac{2.5}{2.6} ]^2\\*multiplying and dividing by '10'= [\frac{2.5*10}{2.6*10} ]^2\\= [\frac{25}{26} ]^2\\= \frac{25^2}{26^2}\\= \frac{625}{676}\\= 0.925

Properties used:

Cancellation property of fractions

Least Common Multiplier(LCM)

The least or smallest common multiple of any two or more given natural numbers are termed as LCM. For example, LCM of 10, 15, and 20 is 60.

(b) [[\frac{3x^{a}y^{b}} {-3x^{a} y^{b} } ]^{3}    ] ^{2}

Answer:

[[\frac{3x^{a}y^{b}} {-3x^{a} y^{b} } ]^{3}] ^{2}\\

*using [x^{a}]^b = x^{ab}*

= [\frac{3x^{3a}y^{3b}} {-3x^{3a} y^{3b} }] ^{2}        

*Again, using [x^{a}]^b = x^{ab}*

= \frac{3x^{2*3a}y^{2*3b}} {-3x^{2*3a} y^{2*3b} }  \\= (-1)\frac{3x^{6a}y^{6b}} {3x^{6a} y^{6b} }\\[\tex]*taking -1 common, denominator and numerator are equal*[tex]= -(1)\frac{1}{1}\\= -1

Property used: 'Power of a power'

We can raise a power to a power

(x^2)4=(x⋅x)⋅(x⋅x)⋅(x⋅x)⋅(x⋅x)=x^8

This is called the power of a power property and says that to find a power of a power you just have to multiply the exponents.

3 0
3 years ago
Which ordered pairs is a solution to −5x + 3y &gt; 12?
In-s [12.5K]

<u>Answer </u><u>:</u><u>-</u>

Given inequality ,

  • -5x +3y > 12
  • 3y > 5x + 12
  • y > 5/3x + 12/3
  • y > 5/3x + 4

From the options ,

<u>When </u><u>x </u><u>is </u><u>3</u><u> </u><u>and </u><u>y </u><u>=</u><u> </u><u>9</u>

  • y >1* 5 + 4
  • y > 5 +4
  • 9> 9 ( Not possible )

<u>When</u><u> </u><u>x </u><u>is </u><u>-</u><u>5</u><u> </u><u>y</u><u> </u><u>is </u><u>5</u><u> </u>

  • y > 5/3*-5 + 4
  • y > -8.3 + 4
  • 5 > -3.7 ( Possible )

<u>When </u><u>x </u><u>is </u><u>3</u><u> </u><u>y </u><u>is </u><u>-</u><u>6</u><u> </u>

  • y > 5 + 4
  • -6 > 9 ( Not possible )

<u>When </u><u>x </u><u>is </u><u>-</u><u>2</u><u> </u><u>y </u><u>is </u><u>-</u><u>5</u><u> </u>

  • y > -3.33 + 4
  • -5 > -0.67 ( Possible )

<u>When </u><u>x </u><u>is </u><u>2</u><u> </u><u>y </u><u>is </u><u>8</u><u> </u>

  • y > 3.33 + 4
  • 8 > 7.77 ( possible )

<u>When</u><u> </u><u>x </u><u>is </u><u>-</u><u>6</u><u> </u><u>y </u><u>is </u><u>0</u><u> </u>

  • y > -10 +4
  • 0 > -6 ( possible )
7 0
3 years ago
Read 2 more answers
What is the inequality??
Maslowich

Answer:

OOF

Step-by-step explanation:

6 0
3 years ago
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