All Answers 358108 Answers

A rectangle (square) with a length and width  of  40 meters

Proof  ......    2(w + L)   = 2 (40 + 40)  = 2 (80)  = 160 m

a. 21.351 cm  =  0.21351 m

b. Volume of the block  =   21.351cm x 16.20cm x 12.02 cm   = 4157.552124 cm^3

c. Density  =  8320g / 4157.552124 cm^2   ≈  2 g/cm^3

P.S. -  if you wanted every dimension to be expressed in m  ......16.2cm = .162m   and 12.02 cm = .1202m

So......  the volume would be       { .162 m x  .1202 m  x .21351m ]  = 0.004157552124m^3

And the Density = 8320g /  0.004157552124m^3  ≈ 2 x 10⁶ g / m^3  

my question is:

Shyla covered a box with fabric. The dimensions of the box are shown in the figure below:
it shows a box with a height of seven inches, a width of 11 inches and i length of 8 inches.


The fabric costs 7¢ per square inch. She will only pay for the fabric used to cover the box, even if there is waste or extra. How much money did Shyla spend on the fabric?

10?

it's 3.14

Let g(n) be the product of the proper positive integer divisors of n. (Recall that a proper divisor of n is a divisor other than n.) For how many values of n does n not divide g(n), given that  2 ≤ n ≤ 50?

I think I understand this one.........

All the n"s  ≥ 2 and  ≤  25  will divide at least one n  from 2 to 50 inclusive...so each of these will divide g(n)

And all the composite n's > 25  but  ≤ 50  can be divided by at least two n's  from 2 to 25 inclusive

But the primes from 25 to 50 cannot be formed by any other factors than 1 and themselves

Thus, the "n"s"   that will not divide g(n)  will be all the primes > 25   and  < 50 

And these are   29, 31, 37, 41, 43, 47

2x^2 -18x + 40  = 0       divide through by 2

x^2 - 9x + 20   = 0       factor

(x - 5 ) (x - 4)  = 0       setting each factor to 0 , we get that x = 5  or x = 4  as the two solutions

The nth term can be found by the expression n^2 + 1

So.....the 100th term =  100^2 + 1   = 10,001

We could have a second "5" in any one of three positions.......and for each of these, we have 9 choices for  a digit to occupy one of the two remaining positions and 8 choices for the other...so.....

So     C(3,1) * 9 * 8 =  216

Also, in the last three positions, excluding the digit "5,' we have the choice of the same digit occupying any 2 of 3 positions.......and  there are 9 choices for these .......and the remaining position can be occupied by any of the 8 remaining digits.....so....

C(3,2)* 9 * 8  = 216

So   216 + 216   = 432

Nice work guest :)

True..........ABDC  is a quadrilateral........with no parallel sides but with right angle BAC

Thanks :3 :)) 

Thank you :3 

Thanks Chris,

I liked that question :)

You can draw a quadrilateral with no parallel lines and at least one right angle. True or  False. that's my question

Is it 10:10 a.m or p.m. and does it come at 8:00 a.m. or p.m.

Sorry...I made a typo when rearranging 100a^2  = 2304 + a^4 

It should have been     a^4 - 100a^2 + 2304  = 0

Everything works fine after that......and we will have multiple solutions.....

625 feet^2

THANKS!

it's correct  :)

3/2+5/4+9/8+17/16+33/32+65/64-7  =

1 + 1/2 + 1 + 1/4 + 1 + 1/8 +  1 + 1/16 + 1 + 1/32  + 1 + 1/64  - 7  =

1 + 1 + 1 + 1 + 1 + 1  - 7  +  [ 1/2 + 1/4 + 1/8 + 1/16 + 1/32 + 1/64]  =

6 - 7  +  (1/2) [ 1 -  (1/2)^6] /  [ 1 - 1/2]  = 

-1 + (1/2) (63/64)/ (1/2)  =

-1 + 63/64  =

-64/64 + 63/64  = 

-1/64

just multiply them together.

Very nice, Melody!!!

Sheila has been invited to a picnic tomorrow. The picnic will occur, rain or shine. If it rains, there is a 20% probability that Sheila will decide to go, but if it is sunny, there is an 80% probability that Sheila will decide to go. The forecast for tomorrow states that there is a 40% chance of rain. What is the probability that Sheila will attend the picnic? Express your answer as a percent.

Prob that it will rain and she goes + prob that it will be sunny and she goes

=     0.4 * 0.2     +           0.6*0.8

=          0.08      +              0.48

=   0.56

56% chance 

log_3(3/4+4/5+5/6+6/7+7/8+8/9) divided by log_10(4/5+5/6+6/7+7/8+8/9+9/10)

=2.05815630.... I have assumed that log_3 means "Log(base 3)",

You add all the fractions inside the bracket...3/4+4/5+5/6.......=5.004365........, then

Log(5.004365)/Log(3) =1.465768....................(1), then,

You add all the fractions in the 2nd part....4/5+5/6+6/7...........=5.154365....., then take the log of this: Log(5.154365) =0.712175................(2),

Divide the result in (1) by the result in (2) and you get:

1.465768/.712175 =2.0581563, which is the final answer.

Let the price that Ray paid for the car=C

.75C was what the car was worth a day after he bought it.

.50 x (.75C)=18,750

.375C = 18,750 Divide both sides by .375

C=18,750/.375

C=$50,000 - Original price that Ray paid for the sports car.