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2 years ago

What is the value of x? Teach me

Mathematics

1 answer:

Ipatiy [6.2K]2 years ago

4 0

The triangle altogether is 180° so 100+50 equals 150 and if you add 30 to that then that’s your Awnser... 180-100-50-30=0 so

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Sketch the region enclosed by x^2+y^2=6 and x+y=0. decide whether to integrate with respect to x or y. then find the area of the

kondor19780726 [428]

It's 3 beacause you add all of them together to get 0

4 0

3 years ago

The manager of an apartment building increases the monthly

N76 [4]

Answer:

The answer is 513

6 0

3 years ago

Read 2 more answers

Please hurry! This is due soon.

kotykmax [81]

Hi!

We can see here that this is a composition question.

And since the composition of g of f of x is x, we can conclude that g(x) is the inverse of f(x) (if you're confused, search up the definition of an inverse function).

To find an inverse function, we can take the f(x) function and change the positions of the x and y variables.

$f(x)=\frac{e^7^x+\sqrt{3}}{2}$

$y=\frac{e^7^x+\sqrt{3}}{2}$

$x=\frac{e^7^y+\sqrt{3}}{2}$

$2x=e^7^y+\sqrt{3}$

$e^7^y=2x-\sqrt{3}$

$7y=ln(2x-\sqrt{3})$

$y=\frac{ln(2x-\sqrt{3})}{7}$

Which is answer choice A, to check your work, you can solve the composition of g(f(x)), which will get you x.

$g(f(x))$

$g(\frac{e^7^x+\sqrt{3}}{2})$

$\frac{ln(2(\frac{e^7^x+\sqrt{3}}{2})-\sqrt{3}}{7}$

2s cancel.

$\frac{ln(e^7^x+\sqrt{3})-\sqrt{3}}{7}$

The natural log and e cancel.

$\frac{7x+\sqrt{3}-\sqrt{3}}{7}$

$\sqrt{3}$ s cancel.

$\frac{7x}{7}$

7s cancel.

$x$

Hope this helps!

3 0

2 years ago

A spherical balloon is inflating with helium at a rate of 64 pi StartFraction ft cubed Over min EndFraction . How fast is the b

olga2289 [7]

Answer:

The radius of the balloon is increasing at a rate of 4 feet per minute.

Step-by-step explanation:

We are given the following in the question:

$\dfrac{dV}{dt} = 64\pi \dfrac{\text{ ft}^3}{\text{min}}$

Volume of sphere is given by

$V = \dfrac{4}{3}\pi r^3$

where r is the radius of the balloon.

Instant radius, r = 2 ft

Rate of change of volume =

$\dfrac{dV}{dt} = \dfrac{d}{dt}(\dfrac{4}{3}\pi r^3)\\\\\dfrac{dV}{dt} =4\pi r^2\dfrac{dr}{dt}$

Putting values, we get,

$64\pi = 4\pi (2)^2\dfrac{dr}{dt}\\\\\Rightarrow \dfrac{dr}{dt} = 4$

Thus, the radius of the balloon is increasing at a rate of 4 feet per minute.

5 0

3 years ago

Help me pls ill give extra points

olga55 [171]

Answer:

y = x + 1

Step-by-step explanation:

We are using the points (0, 1) and (6, 7). First, use these points to find the slope.

m = y₁ - y₂/x₁ - x₂

⇒ m = 7 - 1/6 - 0

⇒ m = 6/6

⇒ m = 1

Now that we know the slope is one, enter the values into the point-slope form equation. I'll use (0, 1) in this instance.

y - y₁ = m(x - x₁)

⇒ y - 1 = 1(x - 0)

⇒ y - 1 = x

⇒ y = x + 1

Therefore, the equation is y = x + 1.

3 0

3 years ago