All categories

2 years ago

A boy's mother was 32 years old when he was born. Let a represent the boy's age and m represent the mother's age.

Mathematics

1 answer:

LenKa [72]2 years ago

5 0

see the picture attached

You might be interested in

Which equations are equivalent to ? 3^3√x+4 =12 Check all that apply.

eimsori [14]

Answer:

option c

x + 4 = 64

and

option e

x = 60

Step-by-step explanation:

Given in the question an expression

3∛x+4 = 12

∛x + 4 = 12/3

∛x + 4 = 4

Take cube on both sides of the equation

∛(x + 4)³ = 4³

x + 4 = 64

x = 64 - 4

x = 60

4 0

3 years ago

Read 2 more answers

Use separation of variables to solve dy dx − tan x = y2 tan x with y(0) = √3. Find the value of c in radians, not degrees

a_sh-v [17]

Answer:

$y(x)=tan(-log(cos(x))+\frac{\pi }{3} )$

Step-by-step explanation:

Rewrite the equation as:

$\frac{dy(x)}{dx}-tan(x)=y(x)^{2} *tan(x)$

Isolating $\frac{dy}{dx}$

$\frac{dy}{dx} =tan(x)+tan(x)*y^{2}$

Factor:

$\frac{dy}{dx} =tan(x)*(1+y^{2} )$

Dividing both sides by $(1+y^{2} )$ and multiplying them by $dx$

$\frac{dy}{1+y^{2} } =tan(x)dx$

Integrate both sides:

$\int\ \frac{dy}{1+y^{2} } = \int\ tan(x) dx$

Evaluate the integrals:

$arctan(y)=-log(cos(x))+C_1$

Solving for y:

$y(x)=tan(-log(cos(x))+C_1)$

Evaluating the initial condition:

$y(0)=\sqrt{3} =tan(-log(cos(0))+C_1)=tan(-log(1)+C_1)=tan(0+C_1)$

$\sqrt{3} =tan(C_1)\\arctan(\sqrt{3} )=C_1\\60=C_1$

Converting 60 degrees to radians:

$60degrees*\frac{\pi }{180degrees} =\frac{\pi }{3}$

Replacing $C_1$ in the diferential equation solution:

$y(x)=tan(-log(cos(x))+\frac{\pi }{3} )$

3 0

2 years ago

9.173 what is the value of 9?

omeli [17]

Answer:

the value of 9 is ones

3 0

2 years ago

Read 2 more answers

Solve the logarithmic equation<br><br> log(3x)+log(2x)=3

xxTIMURxx [149]

Hope this answer would be helpful.

3 0

3 years ago

Lisa paid $43.95 for 16.1 gallons of gasoline.What was the cost per gallon,rounded to the nearest hundreth?Show your work

Rashid [163]

2.73

You need to divide 43.95 by 16.1 then round it off. That is how you get 2.73. I hope this helps and good luck!

8 0

3 years ago