All categories

2 years ago

If In(y - 40) = 5x, then y =

Mathematics

2 answers:

sasho [114]2 years ago

5 0

If $\ln(y-40)=5x$ then $y=e^{5x}+40$ .

Hope this helps.

Sophie [7]2 years ago

5 0

Answer:

a e^(5x) +40

Step-by-step explanation:

In(y - 40) = 5x

Raise each side to base e

e^In(y - 40) = e^5x

y - 40 = e^5x

Add 40 to each side

y - 40 +40 = e^5x+40

You might be interested in

Solve simultaneously <br> Y=x-2<br> Y^2=x

omeli [17]

$\left \{ {{y=x-2} \atop {\ y^2=x}} \right. \\ \\ \\
y=x-2 \\
y^2=(x-2)^2=x^2-4x+4 \\ \\ \\
y^2=x \\
x^2-4x+4=x \\
x^2-5x+4=0$

$a=1 \\ b=-5 \\ c=4 \\ \\ x=\frac{-(-5) \pm \sqrt{(-5)^2 - 4 \cdot 1 \cdot 4}}{2 \cdot 1}=\frac{5 \pm \sqrt{25 - 16}}{2}=\frac{5 \pm \sqrt{9}}{2}=\frac{5 \pm 3}{2} \\ \\
x=\frac{5+3}{2} \ \lor \ x=\frac{5-3}{2} \\ \\
x=\frac{8}{2} \ \lor \ x=\frac{2}{2} \\ \\
x=4 \ \lor \ x=1$

$y=4-2 \ \lor \ y=1-2 \\
y=2 \ \lor \ y=-1 \\ \\ \\
 \left \{ {{x=4} \atop {y=2}} \right. \ \lor \ \left \{ {{x=1} \atop {y=-1}} \right.$

8 0

3 years ago

Read 2 more answers

A, B & C form a triangle where ∠ BAC = 90°. AB = 13.5 mm and CA = 3.2 mm. Find the length of BC, giving your answer rounded

adelina 88 [10]

Answer:

13.9

Step-by-step explanation:

Use Pythagorean Theorem:

Both of the lengths given are the legs,

13.5^2 + 3.2^2 = c^2

182.25 + 10.24 = c^2

192.49 = c^2

13.87 = c

8 0

2 years ago

Uncle percy sold t-shirts at the show. Now he only have 10% of the t-shirts he started with. If he has 25 t-shirts now, how many

Nikitich [7]

Percy used to have 100% of the shirts (before he started selling them). Since then, he has given away 90% of the shirts and is now left with only 10% of what he used to have. He currently has 25 shirts, meaning that 25 is 10% of what he had.

Lets set up a proportion:

25 shirts : 10%
x shirts : 100%

x = 25*100 / 10
x = 2500 / 10
x = 250 shirts
Percy started off with 250 shirts.

8 0

3 years ago

Can someone factor this: x^3 -6x + 11/x - 6/x^3<br> Thank you!

777dan777 [17]

Hope this helps

Mark brainliest please

3 0

2 years ago

I don’t get how to answer 8x + 4 - x/2

nikitadnepr [17]

Ask you to solve the equation as x

7 0

3 years ago