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2 years ago

what is an equation of the line that passes through point (-6,-5) and is parallel to the line x + 5y=25

Mathematics

1 answer:

Dmitry_Shevchenko [17]2 years ago

4 0

Answer:

Contains the point (-3, 5) and is PARALLEL to the line x − 5y = 6. Solve the equation for "y":: 5y = x- 6 y = (1/5)x-(6/5) The slope is 1/5 ---- Equation of line with slope = 1/5 passing thru point (-3,5) (y-5)/(x+3) = 1/ ...

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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

9 months ago

Which expression is equivalent to 6√8 · √2 48√2 48 24 24√2

NikAS [45]

I think the answer is C. 24

Explanation:

Square root of 8 times square root of 2 is square root of 16. The square root of 16 is 4. 6•4=24

Brainliest my answer if it helps you out?

3 0

3 years ago

Please answer the question from the attachment.

Nostrana [21]

10-4=6
3*2k= 6k
6k=6
K=1 is the answer

5 0

3 years ago

Solve the volume formula V=lwh for h.

Alexeev081 [22]

V=lwh

v/lw=h

thats what it is.

4 0

3 years ago

In parallelogram DEFG if m_DEF=110° find m_FGD. E 110° D G

Sergio039 [100]

Answer:

E=x

or 110= x ( opposite angles of parallelogram are congurent)

E+D = 180 ( angles on st line)

110+D =180

D=70

D=F ( opposite angles of parallelogram are congurent)

so F=70

3 0

3 years ago