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3 years ago

I really need help on this question, thank you!

Mathematics

1 answer:

bogdanovich [222]3 years ago

6 0

Answer:

Your answer is D

Step-by-step explanation:

When we reflect the point which is at the coordinates (-2,4) we count how far it is from the Y line, it is 2 units away thus we must put our point on the Y line and count 2 to the other side giving us (2,4)

Hope this helps!

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After the mill in a small town closed down in 1970, the population of that town started decreasing according to the law of expon

wlad13 [49]

Answer:

$P_o = \frac{143000}{e^{-20*0.01303024661}}=110193.69$

And we can round this to the nearest up integer and we got 110194.

Step-by-step explanation:

The natural growth and decay model is given by:

$\frac{dP}{dt}=kP$ (1)

Where P represent the population and t the time in years since 1970.

If we integrate both sides from equation (1) we got:

$\int \frac{dP}{P} =\int kdt$

$ln|P| =kt +c$

And if we apply exponentials on both sides we got:

$P= e^{kt} e^k$

And we can assume $e^k = P_o$

And we have this model:

$P(t) = P_o e^{kt}$

And for this case we want to find $P_o$

By 1990 we have t=20 years since 1970 and we have this equation:

$143000 = P_o e^{20k}$

And we can solve for $P_o$ like this:

$P_o = \frac{143000}{e^{20k}}$ (1)

By 2019 we have 49 years since 1970 the equation is given by:

$98000 = P_o e^{49k}$ (2)

And replacing $P_o$ from equation (1) we got:

$98000=\frac{143000}{e^{20k}} e^{49k} =143000 e^{29k}$

We can divide both sides by 143000 we got:

$\frac{98000}{143000} =0.685 = e^{29k}$

And if we apply ln on both sides we got:

$ln(0.685) = 29k$

And then k =-0.01303024661[/tex]

And replacing into equation (1) we got:

$P_o = \frac{143000}{e^{-20*0.01303024661}}=110193.69$

And we can round this to the nearest up integer and we got 110194.

7 0

3 years ago

Whats is the values of the underlined <br><br><br> 890

Alex17521 [72]

8- hundreds
9-tens
0-ones

7 0

3 years ago

Read 2 more answers

PLEASE HELP ASAP!!!!!! Quadrilateral PQRS, with vertex P(-5, -3), undergoes a transformation to form quadrilateral P′Q′R′S′, wit

Nana76 [90]

Answer:

The vertex Q' is at (4,5)

Step-by-step explanation:

Given:

Quadrilateral PQRS undergoes a transformation to form a quadrilateral P'Q'R'S' such that the vertex point P(-5,-3) is transformed to P'(5,3).

Vertex point Q(-4,-5)

To find vertex Q'.

Solution:

Form the given transformation occuring the statement in standard form can be given as:

$(x,y)\rightarrow (-x,-y)$

The above transformation signifies the point reflection in the origin.

For the point P, the statement is:

$P(-5,-3)\rightarrow P'(5,3)$

So, for point Q, the transformation would be:

$Q(-4,-5)\rightarrow Q'(-(-4),-(-5))$

Since two negatives multiply to give a positive, so, we have:

$Q(-4,-5)\rightarrow Q'(4,5)$

5 0

3 years ago

The sum of four consecutive numbers equals b+6. What are the numbers?

jarptica [38.1K]

Answer:

0,1,2 and 3

Step-by-step explanation:

let the first number be b

therefore the second,third and fourth numbers are b+1,b+2 and b+3

b+b+1+b+2+b+3=b+6

4b+6=b+6

4b-b=6-6

3b=0

b=0

4 0

2 years ago

Prove whether the following are identities 2tanh 1/2x / 1−tanh^2 1/2 x = sinh x

jek_recluse [69]

Answer:

Prove whether the following are identities 2tanh 1/2x / 1−tanh^2 1/2 x = sinh x

8 0

3 years ago