If measurement of angle ABC=75 degrees, then how many segments will he draw until he reaches his starting point A.

It's supposed to say "If

is this th image you tried to put?

I assume that P(heads) means the probability of the coin landing heads up. 

There is 1 occurrence out of 2 possibilities: the coin will land either heads or tails. 

The probability of it being heads is 1/2. 

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A number is selected at random from 1 through 100, inclusive. What is the probability that the number is a divisor of 50? Express your answer as a common fraction.

Well, how many divisors of 50 are there... 1, 2, 5, 10, 25, 50     There are six of them. 

So the likelihood is 6 out of 100 ...  6/100  reduces to  3/50 

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Simple interest   20,000 x .06 x 4 = $ 4800     total after 4 yrs   20000 + 4800 = 24800

Componded interest:

   quarterly interest   7% / 4 = .0175  for 16 quarters

20 000 (1+.0175)^16 = 26 398.59

26398.59 - 24800 = ~~  $ 1599    more interest with 7% plan

Oxford to Dayton   7.89 km

Oxford to Ashland 5.26 km

7.89 - 5.26 = 2.63 km farther

very good rom

very good Rom

👍👍👍👍

here scince i cant give you more points theres four extra

Thank you SO MUCH.

We solve this like a system of equations.

Solve for x or y,

Once you do that you will get,

\(\begin{align*} x=\frac{9}{5} \end{align*}\)

Then you can substute this into both equations and you will get for \(y \)

You can then use this to get the final pair of cordinates,

\(\begin{align*} (\frac{9}{5},\frac{12}{5}) \end{align*}\)

here is the link to the graph

https://www.desmos.com/calculator 

copy and paste.

HOPE THIS HELPS

\(\text{Writing this in vertex form we have}\\ y = \alpha(x+4)^2 + 0 = \alpha(x+4)^2\\ \text{using the point we're given}\\ -75 = \alpha(1+4)^2 = 25\alpha\\ \alpha = -3\\~\\ y = -3(x+4)^2 = -3(x^2 + 8x+16)\\ y = -3x^2 - 24x - 48\\ a = -3\)

\(a^2 - b^2 = 997\\ (a-b)(a+b) = 997\\~\\ \text{Now factor $997$ to see what we're working with}\\ 997 = \text{Prime!}\\ a-b=1\\ a+b = 997\\ a=499,~b=498\\\)

\(z w = 1 \Rightarrow |z||w| = 1 \Rightarrow |w| = \dfrac{1}{|z|}\\ \text{The only way this can occur is if $a=\pm 1,~b=0$ or $a=0, b=\pm 1$}\\ \text{If $z=\pm 1$, then $w=z$. If $z = \pm i$, then $w = -z$}\\ \text{Thus there are 4 units in $S, \{1,-1,i,-i\}$}\)

9+ (-3)

The difference of  8 and 9  =     

8  - 9  = 

8 + (-9)

Let the roots  be   x, y , z

So

 [ log  ₂ x  +  log ₂  y  + log ₂  z ]  = 5

 log ₂  (xyz)  = 5

2^5  = xyz

xyz  = 32

And the  product of the  roots =  -a/ 8

xyz  = -a / 8

32 = -a / 8

256 = - a

a  = -256

Here : https://web2.0calc.com/questions/3d-geometry-please-help

Yah....that is the maximum revenue , but the question only asked for the price which would generate that maximum.... 

Hey....that sounds like a ot of fun.....(except the  mosquito part )

True.....

THX.

The other answer was $845. 

Yah, TR.... I thought that too,,,but it seemed more likely that it was e^(.2x)   to me as e is usually used in exponential functions that way.....but who knows????         Unless guest responds, we are BOTH correct !  

Revenue will be given by the price x number of books sold

p (130-5p)

-5p^2 + 130p = revenue       (this is a dome shaped parabola)

Max will be p =    -b/2a   =   - (130)/((2* -5)  = 13  dollars    (just as CU found !)

Since you are looking for a DIFFERENCE 9 has to be subtraced from 8....and since you want it in the form of an addition problem, 8 + (-9) would fit the bill,   A          (though poorly worded problems are somewhat ambiguous.....some may say that D would also work)