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Vinil7 [7]
3 years ago
6

The domain of a function h(x) is x > 3, and the range is y2 -2. What are the domain and range of its inverse function, h-1(x)

?
A. Domain: x>3 Range: y2 -2
B. Domain: x2 -2 Range: y> 3
C. Domain: x>-2 Range: y> 3
D. Domain: x2 3 Range: y> -2 ​
Mathematics
1 answer:
Softa [21]3 years ago
6 0

Answer:

I think it's b I don't know for sure though

Step-by-step explanation:

I don't know for sure tho

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Situation:A researcher in North America discoversa fossile that contains 65% of its originalamount of C-14..-ktN=NoeNo inital am
zheka24 [161]

SOLUTION

We have been given the equation of the decay as

\begin{gathered} N=N_0e^{-kt} \\ where\text{ } \\ N_0=initial\text{ amount of C-14 at time t} \\ N=amount\text{ of C-14 at time t = 65\% of N}_0=0.65N_0 \\ k=0.0001 \\ t=time\text{ in years = ?} \end{gathered}

So we are looking for the time

Plugging the values into the equation, we have

\begin{gathered} N=N_0e^{-kt} \\ 0.65N_0=N_0e^{-0.0001t} \\ e^{-0.0001t}=\frac{0.65N_0}{N_0} \\ e^{-0.0001t}=0.65 \end{gathered}

Taking Ln of both sides, we have

\begin{gathered} ln(e^{-0.000t})=ln(0.65) \\ -0.0001t=ln(0.65) \\ t=\frac{ln(0.65)}{-0.0001} \\ t=4307.82916 \end{gathered}

Hence the answer is 4308 to the nearest year

8 0
11 months ago
Simplify 7y+2x - 10y+3x to the second power -10x
lara [203]

7y+2x - 10y+3x^2-10x=(3x^2)+(2x-10x)+(7y-10y)\\\\=3x^2-8x-3y

4 0
3 years ago
Can someone please help? i don’t know how to solve this.
Charra [1.4K]

Answer:

Hey there!

We have the absolute value of x is greater than two.

Thus, to solve absolute value inequalities, we want to break the inequality down.

We break this down to

x>2

x<-2

Thus, we don't need to simplify this any further, and have our answer.

Hope this helps :)

8 0
3 years ago
Read 2 more answers
Francine has a piece of wood that is five 5 5/12 feet long she uses three 3 1/4 feet of the wood from a science project how much
zhannawk [14.2K]

Answer:

4/3 ft

Corrected question;

Francine has a piece of wood that is five 5/12 feet long she uses three 1/4 feet of the wood from a science project how much for just Francine have left.

Step-by-step explanation:

Given;

Francine has a piece of wood that is five 5/12 feet long.

Total amount of wood T = 5 × 5/12 ft = 25/12 ft

she uses three 1/4 feet of the wood from a science project.

Amount of wood Used U = 3 × 1/4 = 3/4 ft

The amount of wood left equals the total amount of wood minus the amount of wood used;

The amount of wood left L = T - U = 25/12 - 3/4

L = 25/12 - 9/12

L = 16/12

L = 4/3 ft

6 0
3 years ago
When rolling fair number cube with numbers 1 through 6 what is the probability of rolling a number less than 3
jenyasd209 [6]

Each face of the cube has an equal \dfrac16 probability of being rolled. There are 2 numbers on the cube less than 3 (1 and 2). The event of rolling a 1 and the event of rolling a 2 are mutually exclusive (you can't roll both faces at once), so

P(1\text{ or }2)=P(1)+P(2)=\dfrac16+\dfrac16=\dfrac13

4 0
3 years ago
Read 2 more answers
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