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Mathematics

2 answers:

AnnyKZ [126]4 years ago

7 0

1 and 2 is adjacent but 5 and 6 are not.
Hope this helps. :)

solmaris [256]4 years ago

5 0

Answer:

1 and 2 are vertical angles; 5 and 6 are adjacent angles.

Step-by-step explanation:

Vertical angles are opposite angles that share only a vertex. This describes angles 1 and 2.

Adjacent angles are angles that share a common side and a common vertex. This describes angles 5 and 6.

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Common factor of 15x^3 y^2 and 20x^4y^4 ?

Murrr4er [49]

There are three parts in common with both expressions. They all have a coefficient, an x, and a y.

1) Start by finding a common factor of the two coefficients, 15 and 20. What is the biggest number that divides them both? Notice that 15 = 5*3 and 20 = 5*4, so that means 5 can be factored out of both.

2) Next find the common factor of the x's. You have x^3 in the first expression and x^4 in the second. x^3 would be the largest expression that divides both so you can factor it out.

3) Find the common factor of the y's. You have y^2 and y^4, making y^2 the largest expression that can be factored out.

That means 5(x^3)(y^2) is the common factor between those two expressions.

6 0

3 years ago

Read 2 more answers

A given bacteria culture initially contains 2500 bacteria and doubles every half hour. The number of bacteria p at a given time

denpristay [2]

After half hour=30 min you have 2×2500=5000 bacteria so you can use this into your equation to write:
$5000=2500 e^{30k}$
and:
$e^{30t}= \frac{5000}{2500}=2$
Apply the natural logarithm ln to both sides and get:
$30t=ln(2)$
so $k=0.0231$ in units of $\frac{1}{min}$
so your equation is now:
$p(t)=2500 e^{0.0231t}$
1] it t= 50 min substituting you get:
$p(50)=2500 e^{0.0231*50}=7935$ bacteria
2] if t= 8 h = 480 min you get:
$p(480)=2500 e^{0.0231*480}=1.6* 10^{8}$ bacteria

6 0

3 years ago

1) For the following problem: Let f={(-2,3),(-1,1),(0,0),(1,-1), (2,-3)} and let g-{-3,1),(-1,-2), (0, 2),(2, 2),(3,1)}.Find the

N76 [4]

Answer:

1. f(1)=-1 and g(-1)=-2.

2. (gof)(1)=-2.

3. (gofof)(-1)=-2

4. (fog)(3)=-1

Step-by-step explanation:

The given functions are defined as

f={(-2,3),(-1,1),(0,0),(1,-1), (2,-3)}