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aniked [119]
3 years ago
10

Will give brainleist Write an equation in slope intercept form. (Remember you need to find the “b,” using (x,y)

Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
6 0

Answer:

y= -1/6x+4/3

​

​

Step-by-step explanation:

first find the slope using the slope equation. then using y=mx+b- plug in the y, x, and slope(m). then solve for b. and then plug in all numbers into y=mx+b except for x and y

​

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A bacteria culture starts with 880 bacteria and grows at a rate proportional to its size. after 5 hours there will be 4400 bacte
Alina [70]
Don't know whether or not you've encountered differential equations yet, but will try that approach here.

The growth rate is dy/dt  = ky (which states that the rate is proportional to the size of the population, y, and k is a constant.

Grouping like terms,  

dy
--- = kt, so y = Ne^kt
 y

We are told that at t=0, there are 880 bacteria.  Thus, 880=N.  Therefore,

y = 880e^(kt).  After 5 hours the pop will be 4400; using this info, find k:

4400=880e^(5k), or 5 = e^(5k).    So, our y = 880e^(kt) becomes

                                                                   y = 880e^(5t).

What will be the pop after 2 hours?           y(2)=880e^(10) = 880(22026) =
                                                                   approx. 19,383,290 bacteria

Time to reach a pop of 2550?  2550 = 880e^(5t).  Find t.

ln 2550 = ln 880 + 5t, so ln 2550 - ln 880 = 5t.  Divide both sides by 5 to obtain this time, t.
8 0
3 years ago
What is the prime factorization of 32?
Dahasolnce [82]

Answer:

  2^5

Step-by-step explanation:

Keep dividing by primes until you can't anymore. The numbers you divided by are the prime factors. The only one you need is 2.

  32 = 2·16 = 2·2·8 = 2·2·2·4 = 2·2·2·2·2

  32 = 2^5

7 0
3 years ago
Suppose $4000 is invested at 3% interest compounded monthy. How much money will there be in the bank at the end of 15 years?
Brilliant_brown [7]
Since the interest rises 3% monthly, you have to keep taking your number and multiplying it by 3% each month and when you keep doing this, you end up with $6,269.73.
8 0
3 years ago
How many trapezoids can you find in this grid of 12-points
netineya [11]

Answer:

Can I see the graph?

Step-by-step explanation:

6 0
3 years ago
If ΔGET≅ΔMAP, then what corresponding parts are congruent? segment TG and segment AM ∠T and ∠P segment MP and segment ET ∠E and
otez555 [7]

Answer:

2nd Option is correct that is ∠T and ∠P.

Step-by-step explanation:

We are given that ΔGET ≅ ΔMAP

We need to find Congruent part from the given options.

Since, we are given the figure of the congruent triangles with marking not any instruction with which vertex is congruent to which vertex.

So, The Given Name of the Congruent triangle.

We deduce that

G ↔ M

E ↔ A

T ↔ P

Using this we get following congruent parts,

GE ≅ MA , GT ≅ MP and ET ≅ AP

∠G ≅ ∠M ,  ∠E ≅ ∠A and ∠T ≅ ∠P.

Therefore, 2nd Option is correct that is ∠T and ∠P.

3 0
4 years ago
Read 2 more answers
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