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4 years ago

9

Help me I don't know the answer & im gonna fail

1 answer:

blagie [28]4 years ago

7 0

Number 8 would be answer B

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What is the slope of the line that passes through the points (1,-7) and (5,-25)?

Advocard [28]

The slope of the line is -9/2

8 0

4 years ago

An old bone contains 80% of its original carbon-14. Use the half-life model to find the age of the bone. Find an equation equiva

Ira Lisetskai [31]

Answer:

An old bone contains 80% of its original carbon-14 in 1844.6479 years

Step-by-step explanation:

We know that

half life time of C-14 is 5730 years

so, h=5730

now, we can use formula

$P(t)=P_0(\frac{1}{2})^{\frac{t}{h} }$

we can plug back h

and we get

$P(t)=P_0(\frac{1}{2})^{\frac{t}{5730} }$

An old bone contains 80% of its original carbon-14

so,

P(t)=0.80Po

we can plug it and then we solve for t

$0.80P_0=P_0(\frac{1}{2})^{\frac{t}{5730} }$

$0.80=(\frac{1}{2})^{\frac{t}{5730} }$

$\ln \left(0.8\right)=\ln \left(\left(\frac{1}{2}\right)^{\frac{t}{5730}}\right)$

$t=-\frac{5730\ln \left(0.8\right)}{\ln \left(2\right)}$

$t=1844.6479$

So,

An old bone contains 80% of its original carbon-14 in 1844.6479 years

4 0

3 years ago

Read 2 more answers

Solve. 3892-2567 Explain why the algorithm works.

Svetradugi [14.3K]

3892
2567
=1335
.......................

8 0

3 years ago

Read 2 more answers

Y_Kistochka [10]

The function $f(x)=(x-2)^3+8$ is one-to-one and the inverse of $f(x)$ is $f^{-1} (x)=(x-8)^\frac{1}{3}+2$ .

A function is one-to-one if for $f(a)=f(b)$ , we show that $a=b$ .

$f(a)=(a-2)^3+8$

$f(b)=(b-2)^3+8$

Take $f(a)=f(b)$

$(a-2)^3+8=(b-2)^3+8$

$(a-2)^3=(b-2)^3$

Let $A=a-2$ and $B=b-2$

If $A^3=B^3$ , then $A=B$ .

So, $a-2=b-2$

$a=b$ .

So, the function is one-to-one.

For the inverse of $f(x)$ , replace $x$ with $y$ and solve for $y$ .

$x=(y-2)^3+8$

$(y-2)^3=x-8$

$y-2=(x-8)^\frac{1}{3}$

$y=(x-8)^\frac{1}{3}+2$

So, the inverse of $f(x)$ is $y=(x-8)^\frac{1}{3}+2$ .

Learn more about and inverse of a function here:

brainly.com/question/2541698?referrer=searchResults

5 0

2 years ago

Which relation is a function?

Svetllana [295]

Answer:

the answer is B

Step-by-step explanation:

7 0

3 years ago