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3 years ago

What is the slope of the line that

Mathematics

2 answers:

lutik1710 [3]3 years ago

7 0

Answer:

Step-by-step explanation:

We can use the slope formula

m = ( y2-y1)/(x2-x1)

m = ( 8-2)/(3-0)

= 6/3

= 2

cupoosta [38]3 years ago

5 0

Answer:

<em>Brainliest, please!</em>

Step-by-step explanation:

(0, 2)(3, 8)

y = +6

x = +3

y/x = 6/3 = 2

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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

1 year ago

Find x, round to the nearest tenth degree.

Romashka [77]

Answer:

Step-by-step explanation:

Use the Law of Cosines

A = arccos[(10²+14²-9.6²)/(2×10×14) ≅ 43.3°

5 0

3 years ago

What does expression equivalent mean?

Studentka2010 [4]

Answer:

Step-by-step explanation:

Equivalent expressions are expressions that are the same,even though they might look different. If you plug in the same variable value into equivalent expressions they will each give you the same value when you simplify.

7 0

3 years ago

A textbook store sold a combined total of 294 physics and psychology textbooks in a week. The number of psychology textbooks sol

miv72 [106K]

Answer:

105 psychology textbooks. 189 physics textbooks.

5 0

3 years ago

Colleen plans to start a small business by making and selling skirts. A sewing machine costs $250, and she estimates that she wi

Dmitrij [34]

Let C(x) be the function which calculates the total cost of making x skirts.

There is going to be a fixed constant, 250, to which we will add 15$ per x skirts.

So C(x)=250+15x

Answer: 250+15x

7 0

3 years ago

Read 2 more answers