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If all are distguinshable then answer is 3^6=729

y  =  (x - 5)(x - 2)³

If the factor has an odd power, it will pass through that point; therefore the equation passes through the points  x = 5  and  x = 2.  

The graph will go directly through the point if the power is 1, it "wiggles through" if the power is 3, 5, 7 etc.

If the power is an even number, it touches that point and bounces back to the direction from which it came.

30 - 2(7+2) - 1

= 30 -14 -4 -1

= 11

same as electric pavlov's answer

sorry for bad typing I am on my phone

Just group the terms with x and the terms with y

3x + 2y+ 2x + y 

= 3x + 2x + 2y + y

= 5x + 3y

25 - 23 3/8 = 200/8 - 187/8 = 13/8 = 1 5/8

The most elementary one: half of base times height.1/2 b h

Advanced one: half of the product of any 2 adjacent side times sine of the included angle.1/2 a b sin c

10/2

35/7

55/11

25/5

5/1

Just keep the numerator 5 times the denominator 

If Alice ate SIX cakes, she probably has a 'Stomacake'      Hahahaha

Happy Birthday!

What is 25 inches minus 23 3/8 inches

25 - 23 3/8 =1 5/8

Use this formula, which should be in your textbook! p=[e^-u. U^x]/x!=e^-5.5^3 / 3!=~14%. At least, that is what I think, but no guatantees!!.

e is the base of natural logarithms (2.7183)
μ is the mean number of "successes"
x is the number of "successes" in question

how to calculate tanh^2(0.0655) =0.00427801...

Take the tanh of 0.0655 and then square it.

This is also a geometric series. Use the well-known formula:

S=2(1 - 3^8) / (1 - 3)

2 x 3,280

S=6,560 bacteria in 24 hours.

It is a geometric series. Use the formula:

S=F(1 - r^n) / (1 - r)

S=30(1 - .6^5) /( 1 - .6)

S=30 x 2.3056

S=69.17 cm.

30 x (3/5)^0 is the FIRST jump

30 x (3/5)^1  is SECOND jump

30 x (3/5)^2  is third jump

30 x (3/5)^3  is fourth jump

30 x (3/5)^4  is fifth jump

You can 'Brute Force' calculate and add up these numbers, or realize this is a summation of the form:

30 x  \(\sum_{1}^{5}\)(3/5)^(n-1) = 30 (2.3056) = 69.168 cm

the number of bacteria in a culture triples every 3 hours. if there were 2 bacteria present at noon one day, how many were there at noon the next day assuming that all bacteria survived?

First term =2

Ratio =3

Number of terms =24/3 =8, Therefore in 24 hours, you would have:

=6,560 bacteria.

Logs of negative numbers do not exist.   So you cannot have log of -1.153. If this has cropped up in a problem you have been trying, then you may have made a mistake somewhere. 

a grasshopper jumps in a geometric sequence. each succeeding jump is 3/5 of the previous jump.if the grasshopper's jump is 30 cm, find the distance the grasshopper has covered after 5 jumps

The grasshopper jumps the following distances:

30, 18, 10.8, 6.48, 3.89 =69.17cm in 5 jumps.

30-2(7+2)-1 = 30 - 2(9) - 1 = 30 -18 - 1 = 30 - 19 = 11

Look at it as a RATE problem......

One job = 1

Bill's rate =  1/40  job/minutes

Sue's rate=  1/35 job/minutes

What is the RATE when they BOTH work ?

(1/40 + 1/35)   job/minutes  =  (7+8)/120 = 15/280  Job/minutes

the TIME to complete ONE job = ONE Job / RATE   so, substitute:

1 Job / (15/280 Job/Minutes) = 280/15 minutes = 18.67 minutes

lg 

lo(-2.5)

Sue can shovel snow from her driveway in 35 minutes. Bill can do the same job in 40 minutes. How long would it take SueSue and BillBill to shovel the driveway if they worked​ together?

Sue can shovel snow faster than Bill?

Sue can finish 1/35 of the job in 1 minute.

Bill can finish 1/40 of the job in 1 minute.

1/35 + 1/40 =3/56 Their combined rate in 1 minute. Therefore, both working together can finish th job in:56/3=18 2/3 minutes.

^To the person that asked the question, I was on that problem in my Algebra 1 book in the review section in the front… LOL -But what if both of the bicyclists don't stop? The problem says nothing about the first cyclist stopping and waiting for the second cyclist, so wouldn't they just keep going? At that rate, it makes the problem much harder to solve and gets you a whole new set of repeating numbers to work with. My final answer was *approximately* 2 hours and 40 minutes for both of them to meet up at *approximately* 48 kilometers. Now how I got there is a total mess and I'm not even sure if I'm right, but that's my guess. I started by finding the time the second cyclist started their journey which was at around 1 hour 3 minutes and 60 seconds after the first cyclist started. I then drew a graph showing both of the cyclists with time in hours (x) and distance traveled (y). There, you set up a system of equations for both cyclists. To simplify it, I wrote both equations in slope intercept form. So it was y= 18x for the first cyclist and y= 30x - 31.9999... for the second cyclist. I got the y intercept for the second cyclist by solving with the x intercept. Solve the system of equations and I got 2.666... For x. Substitute x in for one of the equations to get the y, 47.999... The solution is (2.666... , 47.999...)   To anyone out there that just read that, I would appreciate it if you checked my answer, thanks!!! 

how to convert radians into degress⇔

I just remember that 2pi radians = 360 degrees

or

pi radians = 180 degrees

SO

1 radian must be  180/pi degrees

and 

x radians must be  x * 180/pi degrees    :)

A lot of questions seem easy after you see someone else do it.  I quite like questons like this because they make you think about how numbers interact :)

Yes, I got it. Thank you Melody! Next time i'll try to use my mind and think for the short i guess :)