All Answers 358110 Answers

Rate = (Final Position - Initial Position) / (Final Time - Initial Time)

Rate = (475 - 295) / (6:00 - 3:00)

Rate = 180 / 3

Rate = 60 miles per hour

One possible answer is  1 x 75285

Another possible answer is  3 x 25095

Etc.

The compound interest formula is: A = P(1 + r/n)^(nt)

where A = final amount, P = amount invested, r = decimal interest rate, n = number of times compounded per year, and t = number of years.

Entering the given values:    1050 = 850(1 + r/4)^(4*10)

---> 1050 = 850(1 + r/4)^40                  Divide bothsides by 850, to get:

--->  (1050/850) = (1 + r/4)^40             Find the 40th root of both sides, to get:    

--->  (1050/850)^(1/40) = 1 + r/4          Subtract 1 from both sides, to get:   

--->  (1050/850)^(1/40) - 1 = r/4            Multiply both sides by 4 to get:

--->  [ (1050/850)^(1/40) - 1 ] * 4 = r

r ≈ .02119  --> r  ≈ 2.119%

I am sorry I have stuffed the order up!

Anyway the answers for 1 and 3 are below.

The graphs are relevant to all of the questions anyway.

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I always have to think about these very hard.  I am sure that there are short cuts.

You have a graph of displacement verses time.

underneath I draw a graph of velocity verses time

and under that I drew accel vs time.  

I lined the three up so that P, Q, R, and S are all directly under each other. in the 3 graphs.

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I'm going to consider the velocity graph first.

Now at Q and S the partical is stopped so velocity is 0.

At P the velocity is positive and that looks like a turning point so velocity is maximum.

P is the only point that has positive velocity

At R the velocity is negative and again on the displacement graph it is a turning point so it is a minimum.

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Now I go from the velocity graph to the acceleration graph.

At P and R the acceleration is 0

At Q acceleration is negative and a tuning point

That leaves S  Acceleration is positive.    

SO S MUST BE THE ANSWER for the greatest acceleration.

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Lets see if I could have used a short cut.

At S, the displacement is a minimum, so velocity is 0, acceleration is positive. (It is about to go in positive direction so acceleration must be positive.

Maybe you can just work through the logic of each point like this but I would still use the diagrams.

Maybe alan can do it more simply.   He can probably just 'see' the answer.  LOL

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You already know that I have little confidence in Physics but I believe that is correct.  Draw the graphs and see what I mean.

the answer in the model answer is b 

but the acceleration not constant here because the object covered more ground in each equal time period like the picture above 

in d  .. the accelearation is positive and decreasing 

in f   .. the acceleration is negative and increasing 

right .? 

1+1=2

Thanks for helping! :)

That's brilliant Quinn,  thank you for showing us.

Thanks for the toast Chris, I did/shall enjoy.  

Use the distributive property by multiplying 2π times r and times x and times 4.

2π(r + x + 4)   =   2π·r  + 2π·x  +  2π·4   =   2πr + 2πx + 8π

Do you mean it as you typed it or is there a symbol between (5x+8) and x?

^ He is just a kid he is your SON!

The rate is the distance divided by the time.

   60 feet in 10 seconds   =   60 ft / 10 sec   =  6 ft / sec

   42 feet in 6 seconds   =   42 ft / 6 sec   =   7 ft / sec    <--- We have a winner!

Since    |-4| = 4    and also    |4| = 4     there will be two answer

One:     6x + 3 = -4                            The other:    6x + 3 = 4

                   6x = -7                                                     6x = 1

                     x = -7/6                                                   x = 1/6

Cross multipy --

13 x 12 = 11 x y

156 = 11y                               Divide by 11.

y = 156 / 11

I don't know

you guys can do the second one in this way

(x+1)(x+7)(x+3)(x+5)+15

(x^2+8x+7)(X^2+8x+15)+15

(x^2+8x)^2+22(x^2+8x)+120

(x^2+8x+10)(x^2+8x+12)

(x^2+8x+10)(x+2)(x+6)

Good job Melody and CPchill

xnxx.com <--- go into it! all answers are there!

You have r**e a girl first!

Great answers, geno3141 and anonymous! But just for reference:

Unless you are Chuck Norris, of course. But you're not:)

Was this problem originally:    g(x) = 7x+ 5       and you were supposed to find g(9/7) ?

If so:    replace 9/7 in for x throughout the original expression:

                                           g(9/7) = 7(9/7) + 5                    (multiply 7 times 9/7 to get 9)

                           --->          g(9/7) = 9 + 5

                           --->          g(9/7) = 14

-9 x 3/4

is the same as   -9/1  x  3/4

When multiplying common fractions, multiply the numerator times the numerator and the denominator times the denominator.

( -9 x 3 ) / ( 1 x 4 )      =     -27 / 4

This can be rewritten as a mixed fraction or as a decimal, if you wish.