Solve to three significant digits 123= 500e ^ -0.12x

Answers

Answer 1

Answer: $500{ e }^( -0.12x )=123\n \n { e }^{ -\frac { 12 }{ 100 } x }=\frac { 123 }{ 500 } \n \n { e }^{ -\frac { 3 }{ 25 } x }=\frac { 123 }{ 500 }$

$\n \n { \left( { e }^( x ) \right) }^{ -\frac { 3 }{ 25 } }=\frac { 123 }{ 500 } \n \n { e }^( x )={ \left( \frac { 123 }{ 500 } \right) }^{ \frac { 1 }{ -\frac { 3 }{ 25 } } }$

$\n \n { e }^( x )={ \left( \frac { 123 }{ 500 } \right) }^{ -\frac { 25 }{ 3 } }\n \n \ln { \left( { \left( \frac { 123 }{ 500 } \right) }^{ -\frac { 25 }{ 3 } } \right) } =x$

$\n \n x=-\frac { 25 }{ 3 } \ln { \left( \frac { 123 }{ 500 } \right) }$

$\therefore \quad x\approx 11.7$

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Solve the following system of linear equations by substitution:
8x-y=-13
6x-3y=15

Answers

Rearrange 8x-y=-13 to y=8x+13
Substitute this in so:
6x-3(8x+13)=15
6x-24x-39=15
-18x-39=15
-18x=54
x=-3

Substitute x into 1st equation:
Y=(8*-3)+13
Y=-24+13
Y=-11

$\begin{cases} 8x-y=-13 \n 6x-3y=15 \end{cases}\n \n \begin{cases} -y=-8x-13 \ \ *(-1) \n 6x-3y=15 \end{cases}\n \n\begin{cases} y= 8x+13 \n 6x-3(8x+13)=15 \end{cases} \n \n\begin{cases} y= 8x+13 \n 6x-24x-39=15 \end{cases}$

$\begin{cases} y= 8x+13 \n 6x-24x =15+39 \end{cases} \n \n\begin{cases} y= 8x+13 \n -18x =54 \ \ / :(-18)\end{cases} \n \n\begin{cases} y= 8*(-3)+13 \n x = -3 \end{cases} \n \n\begin{cases} y= -24+13 \n x = -3 \end{cases} \n \n \begin{cases} y= -11 \n x = -3 \end{cases}$

X/x^2-16-7/x^2+5x+4 simplify

Answers

5x³ - 12x² + -7
x²
Simplified answer.

Present age of Ram and Ravi are in the ratio4:3.The ratio of their ages will be 5:4 after
5 years. Find Ravi's present age

Answers

Answer:

15 years old

Step-by-step explanation:

Given the ratio of their ages = 4 : 3 = 4x : 3x ( x is a multiplier )

Then in 5 years the ratio of their ages is 4x + 5 : 3x + 5 = 5 : 4, that is

$(4x+5)/(3x+5)$ = $(5)/(4)$ ( cross- multiply )

4(4x + 5) = 5(3x + 5) ← distribute both sides

16x + 20 = 15x + 25 ( subtract 15x from both sides )

x + 20 = 25 ( subtract 20 from both sides )

x = 5

Thus

Ravi's age is 3x = 3 × 5 = 15

Answer:

Step-by-step explanation:

Ravi présent âge 15 because présent would be 20:15 and then it would turn into 25:20

Which measurement is equivalent to 987 mL?9.87 L
9,870 L
0.987 L
98.7 L

Answers

0.987L

1L is equal to 1000mL.

Answer:

0.987L

Hope this heeeeeeelps

Someone please help??

Answers

4 is the correct answer as 4th root of 1296 is 6

Find the y-intercept of the line which passes through (-2,-2) and (2,-4).

Answers

Your Y- intercept is -3

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