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3 years ago

Please someone answer these 2 questions

Mathematics

1 answer:

saveliy_v [14]3 years ago

4 0

1. C
2.A
Hope this helps, good luck :D

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What is the length (magnitude) of vector (-4,2)

elena-s [515]

did u find out the answer ?

Step-by-step explanation:

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3 years ago

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

The points J, K, L and M all lie on the same line segment, in that order, such that the ratio of JK:KL:LMJK:KL:LM is equal to 1:

RideAnS [48]

Answer: JL = 25

Step-by-step explanation: Segment JM is the total measure of the line segment and it equals 45.

Suppose first segment JK measures d.

The total ratio is the sum of each part

d + 4d + 4d = 9d

The sum of each part corresponds to the total measure of the line segment. Then:

9d = 45

d = 5

Segment JL is

JL = d + 4d

JL = 5d

JL = 5.5

JL = 25

Segment JL measures 25 units.

5 0

3 years ago

Can someone help me x^2 + 3 - 6(3x + 4) i will give brainliest

dangina [55]

Answer:

${x}^{2} - 18x - 21$

Step-by-step explanation:

${x}^{2} + 3 - 6(3x + 4)$

${x}^{2} + 3 - 18x - 24$

${x}^{2} - 21 - 18x$

$\boxed{\green{= {x}^{2} - 18x - 21}}$

8 0

3 years ago

X+y=10 and 2x+4y=30<br>What are the steps to solve this equation?

Ronch [10]

Answer:

x=5 and y=5

Step-by-step explanation:

You "plug" one equation into the other, to get a new equation that only has one variable (x or y), then you can simplify that and have your answer.

So let's plug the first into the second:

First, we convert the first equation into an x=... form. For this one, this means moving the +y to the other side:

x = 10 - y

Now we substitute 10-y for x in the second equation:

So 2x+4y=30 becomes:

2(10-y) + 4y = 30

And simplify that:

20 - 2y + 4y = 30

20 + 2y = 30

2y = 30-20

2y = 10

y = 5

This is the first answer! If we put this into the first equation, we get:

x = 10 - 5 = 5

Now we have both answers, x=5 and y=5

6 0

3 years ago