Please answer both questions determine whether the function has an inverse function

T=mv^2/L Write an equation that shows the given formula solved for V

Effectus [21]

Answer:

v = √(LT/m)

Step-by-step explanation:

Given :

T = mv²/L

Multiply both sides with L :

T × L = mv²/L x L
LT = mv²

Divide both sides by m :

LT × 1/m = mv² × 1/m
LT/m = v²

Take the square root on each side :

√v² = √(LT/m)
v = √(LT/m)

3 0

2 years ago

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A quantity P is an exponential function of time I, such that P = 160 when t = 6 and P = 150 when I = 4. Use the given informatio

Klio2033 [76]

Answer:

k = 0.032
P0 = 131.836

Step-by-step explanation:

Perhaps you want to use the points (t, P) = (4, 150) and (6, 160) to find the parameters P0 and k in the equation ...

$P(t)=P_0\cdot e^{kt}$

We know from the given points that we can write the equation as ...

$P(t)=150\left(\dfrac{160}{150}\right)^{(t-4)/(6-4)}=150\left(\dfrac{16}{15}\right)^{\frac{t}{2}-2}\\\\=150\left(\dfrac{16}{15}\right)^{-2}\times\left(\left(\dfrac{16}{15}\right)^{\frac{1}{2}}\right)^t$

Comparing this to the desired form, we see that ...

$P_0=150\left(\dfrac{16}{15}\right)^{-2}\approx 131.836\\\\e^{k}=\left(\dfrac{16}{15}\right)^{1/2}\rightarrow k=\dfrac{1}{2}(\ln{16}-\ln{15})\approx 0.0322693$

So, the approximate equation for P is ...

$P(t)=131.836\cdote^{0.032t}$

And the parameters of interest are ...

k = 0.032
P0 = 131.836

4 0

3 years ago

Place these numbers in order from greatest to least. 19/5, 1.62, –14/3, –0.5

max2010maxim [7]

Answer:

See below:

Step-by-step explanation:

Hello my name is Galaxy and I'll be helping you today. I hope you are having a nice day!

Simplification

To figure out how we can order them, we can first simplify the problems so that we can easily determine its place. We can put the fractions into decimal form so that they are are in one form and will be easy for us to comprehend.

$\frac{19}{5}=3\frac{4}{5}=3.80$

We know that $\frac{1}{5}$ is equal to 0.20 because we know that 1.00 will be equal to 100 in this case and we can divide that by five to get 20 which will be divided back to get to 0.20.

As I've explained how I've simplified the first one, simplifying the others should be a quite similar process, feel free to comment below if you need any assistance with this.

$\frac{19}{5}=3.80\\1.62=1.62\\\frac{-14}{3}=-4.6667\\ -0.5=-0.5$

(Everything simplified to decimal form.)

We can now proceed to ordering them.

Ordering

Ordering decimals doesn't have to be as hard as it looks, we know that as per the number line a number that is more negative (e.g. -37) will be less than (e.g. -5) as it is closer to the number 0.

Now that we know how to order the negative numbers, we can order them into order, and for ordering the positive numbers, we should already know how to do that.

So, now, in order from Greatest to Least. We can order them by what I said above.

$3.80>1.62>-0.5>-4.666$

We can convert the numbers back into their original form by looking at how we converted them in the Simplification section.

Final Answer

After converting them into a way that we can comprehend, we get our final answer in terms of greatest to least as:

$\frac{19}{5}>1.62>-0.5>\frac{-14}{3}$

Cheers!

6 0

2 years ago

Leon charged $75 at an interest rate of 12.5%. How much will Leon have to pay after one month if he makes no payments? Simple in

avanturin [10]

I'm guessing that this problem is talking about a loan of some sort. So basically, let's look at the given. In the problem, Leon is charged a fee of 75. The interest rate would be 12.5 % if he doesn't pay his due amount. So in order to get the total amount that he has to pay if he doesn't pay on time, you just need to multiply 75 with 12.5% or simply 0.125. If you do this, you will get 9.375. After that, you add 9.375 to the principal amount which is 75 and you will get 84.375. So Leon has to now pay a total of 84.375.

4 0

3 years ago

3(X + 8) + 5x What’s the answer

11111nata11111 [884]

Answer:

8x+24

Step-by-step explanation:

Solve

3 times x = 3x

3 time 8 = 24

+5x

Combine like terms

3x+5x=

8x+24

Hope this helped

Please mark brainliest

So i can rank up ;D

6 0

3 years ago

Read 2 more answers