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2p3 + 4pq – 6p

\(2p^3 + 4pq – 6p\\ =2*p^3 + 2*2pq + 2*-3p\\ \mbox{2 is the highest coeffecient that goes into ever term }\\ \mbox{but p also goes into every term}\\ =2p*p^2 + 2p*2q + 2p*-3\\ \mbox{So 2p is the highest common factor}\\ \mbox{If I factorized it I would get}\\ =2p(p^2+2q-3)) \)

There are: 1,000 - 100 =900 numbers that are 3 digits.

900 /10 =90 numbers that are multiples of 10.

900 - 90 = 810 numbers that are NOT multiples of 10.

I had a thought.

If you have a triangle ABC with the opposite sides a,b,c then

<B will be obtuse if  b^2  >  a^2+b^2

<B will be right angles if  b^2  =  a^2+b^2

<B will be acute if  b^2  <  a^2+b^2

Hi yusername :)

he Pythagorean theorem is only for finding the sides of right angled triangles. 

If you want to find the angles in a right angled triangle you use basic trigonometry :)

Thanks!

Here is another way of looking at it:

Since the ratio of their walking is 3:3.5=6:7. But since the LCM of 6 and 7 is 42, therefore they will meet in 42 minutes after Ben left the thouse, or 42+7=49 minutes after Alex the house. The distance travelled will be:42/60 x 3.5 =49/60 x 3=2.45 miles from the house when they meet.

Let's find Alex' head start:     7 min = 7/60 hr

7/60 x 3 = 21/60 mile head start.

Now Alex distance will equal Ben's distance when they meet.

Rate x time = distance

Alex' distance = 21/60 + 3 t  =  3.5 t    Solve for   t = 42/60 = 42 minutes

In 42 minutes, Ben will have walked   42/60 x 3.5 = 2.45 miles  

If        an = 179   and   an + 4m  =  663

then:                          179 + 4m  =  663

and:                                     4m  =  484

and:                                       m  =  121

Thus:  an + 3m  =  179 + 3·121  =  179 + 363  =  542

If         (Ak - m) + (Ak + 3m)  =  -72

then:                    2Ak + 2m  =  -72

and:                         Ak + m  =  -36

50 - 38% (50) =  50 - .38 (50) = 31

50 (1.125) = $ 56.25

First find the area of the SECTOR of the circle.....

  Then SUBTRACT the area of the TRIANGLE....

r= 11km     Area of CIRCLE = pi x r^2 = 3.14 x 11^2 = 380.132 sq km

Area of SECTOR =   60/360  x  380.132 = 63.355 sq km

Area of triangle = (equalateral triangle) = A = (sqrt3)/4  x 11^2 = 52.395 sq km

Area Sector - Area Triangle = area segemnt =      63.355 - 52.395 = 10.96 sq km

EVENTUALLY, you may be able to realize that the answer would just be   225 x (.997/.917) = 244.629 ml

without having to go through all fo the other calcs !

The numbers available are 100 - 999      We can throw out 100 (multiple of ten)  which leaves 899 numbers available

there are 10 per each 100  (101- 901) that are multiples of TEN   except for 901-999 there are only 9 that are multiples of ten

899 - (8 x 10) - 1(9) = 810 numbers available

Hello guest!

Antti entered a 10-kilometer race. His goal is to finish in one hour. He starts off sprinting and completes the first 2 kilometers of the race at an average speed of 12 kilometers per hour. To achieve his goal of a one-hour finish time, what average speed must Antti maintain for the last 8 kilometers of the race? Enter your answer as a number in decimal form, without units.

t₂ = s₂/ v₂ = 2km / (12km/h) = 1/6 h

t₈ = s₈ / v₈

v₈ = s₈ / t₈ = 8km / (5/6 h) = 9.6 km/h

Antti have to walk 8 km with 9.6 km/h average speed.

Greeting asinus :- )

  !

There is still 8 km to go

2 km / 12 km/hr =  1/6 hr = 10 minutes

50 Minutes (5/6 hr)  to finish 8 km     8 km/ 5/6 hr = 48/5 km/ hr =   9.6 km/hr

24_b  =  2·b + 4

(24_b)²  =  (2·b + 4)·(2·b + 4)  =  4b² + 16b + 16

554_b  =  5·b² + 5·b + 4  =  5b² + 5b + 4

Since these are equal:  5b² + 5b + 4  =  4b² + 16b + 16

     --->                          b² - 11b - 12  =  0

     --->                        (b - 12)(b + 1)  =  0

     --->              Either  b = 12  or  b = -1

     --->     Since the base is positive,  b = 12

If you want to check this:  24₁₂  =  2·12 + 4  =  26  (base ten)

     --->                                (24₁₂)²  =  (26)²  =  784  (base ten)

Also:     554₁₂  =  5·(12)² + 5·(12) + 4  =  784  (base ten)      <---   They are equal!

Hello Guest!

what is nine minus three divided by one third minus one

(9 - 1/3 - 1) / 3 = (27 - 1 - 3) / (3 * 3) = 23 / 9 = 2,55555...

9 - 1/3 - 1/3 = (27 - 1 - 1) / 3 = 25 /3 = 8 1/3 = 8.3333...

depending on interpretation.

Greeting asinus :- )

  !

Just google it!!!!.

Wait, it's 400. Nevermind.

If you multiply VOLUME (ml) x DENSITY (g/ml) , you will get  g 

So....how many grams of water @ 25 degrees do you start with?

225 ml  x  .997 g/ml  =  224.325 g

When it FREEZES it will be the same number of  g    BUT it will occupy a bigger VOLUME because the DENSITY of ICE is LESS  (This is why ice floats in water)

IF you DIVIDE  g  by VOLUME (ml)   you get DENSITY  g/ml

For THIS ice     224.325 g/  ? ml  = .917  g /ml    solve for  ?   =  244.629 ml  (which explains why your soda bottle burst when you placed it in the freezer!

If 225 mL of water at 25°C is frozen at 0.0°C, what volume of ice is created? (Density of water at 25°C = 0.997 g/mL; density of ice at 0.0°C = 0.917 g/mL).

Density=Mass / Volume

.997 =Mass/225

Mass=225 x .997

Mass=224.325g- mass of 225 ml od water, which would be the mass of the ice.

.917 =224.325 / Volume

Volume=224.325 / .917

Volume=244.629 ml or cm^3-volume of the formed ice.

It is not clear to me what you are trying to do. If you are trying to convert a number from one base to another, then there is a procedure to do it: Example: convert 100 from base 10 to base, 2, base 4 and base 5. Then you get these answers:1100100_2, 1210_4, 400_5........etc.

Just try this: 1/4 x 3/8 =3/32=0.09375