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Please explain how you got this answer.

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Hi there...

Question...: "What is 25 to the fourth power?"

Here's an example...
The problem "2 to the 4th power", which basically means "(2^4)".

Knowing this we can do the following.

"(2^4)=((2^2)^2)=(4^2)=(4*4)=16"

From that we know how to solve your problem.
"(25^4)=((25^2)^2)=(625^2)=(625*625)=?"

I hope that helped a bit?


Kind regards
BizzyX


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Volume of Container A:  V  =  pi·r²·h     --->     V  =  pi·7²·10     --->     V  =  490·pi

Volume of Container B:                          --->     V  =  pi·6²·14     --->     V  =  504·pi

Volume of air in Container B after the water in Container A is poured into Container B: 

     V  =  504·pi - 490·pi  =  ________          [the answer]

x² - 28  =  3x

x² - 3x - 28  =  0

(x - 7)(x + 4)  =  0

Either  x = 7  or  x = -4.

The positive solution:  7

Let's first find out how many play basketball (only), how many play baseball (only), and how many play both basketball and baseball.

There are 3 that do not play either sports, therefore, there are 27 - 3 = 24 students who play either baseball, basketball, or both.

Since there are 18 who play basketball and 16 who play baseball, there are 18 + 16 = 34 who play these sports.

But since there are only 24 players, some of these must play both.

34 - 24  =  10 -- which is the number who play both sports.

Removing these 10 students from the 18 who play basketball, there are 8 students who play only basketball.

Also, removing these 10 students from the 16 who play baseball, there are 6 student who play only baseball.

Summarizing:

There are 3 students who play no sports.

There are 8 students who play only basketball.

There are 6 students who play only baseball.

There are 10 students who play both basketball and baseball.

The probability that a student plays no sports is 3/27.

The probability that a student plays basketball (only) is 8/27.

The probability that a student plays baseball (only) is 6/27.

The probability that a student plays both sports is 10/27.

The probability that a student plays basketball is 18/27.

The probability that a student plays baseball is 16/27,

That angle at the top looks like a right angle.  If it is, that makes the problem easy.    

If it is not a right angle, the problem doesn't provide enough information for me to solve it. 

If the angle at the top is in fact 90^o then we have a right triangle and can use Pythagoras' Theorem. 

Pythagoras' Theorem               hypotenuse² = leg₁² + leg₂²  

substitute known values            9²  =  4² + (X +2)²                

subtract 4² from both sides

and rearrange terms                  (X + 2)²  =  9² – 4²       No real reason to rearrange; I just prefer the unknown on the left.

                                                   (X + 2)²  =  81 – 16  =  65             

take square root of both sides    X + 2  =  sqrt(65)   

subtract 2 from both sides          X  =  sqrt(65) – 2          

_.

thank you sooooo much ive been stuggling with this!!!!!!

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Hi there...

I have to be honest here.

That sounds like a trick question of sorts.

Kind of like the scenario, "You have 1kg of feathers and 1kg of iron. Which is the heaviest of the two?".

With that said...
Calculating the volume of "Container/Tank A" will give you the answer.
Seeing that it's the same amount of water you pump from A to B.
It doesn't matter if "Container/Tank B" happens to have a slightly larger total volume than "Container/Tank A", 'cause the amount of water stays pretty much the same.

The other way around, however, that would make a mess.

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Example...
You have two jugs, A and B.
Jug A can room 1 Liter of water.
Jug B can room 2 Liter of water.

You fill "Jug A" up to the 1L-mark.
You then pour the water over into "Jug B".

Question...:
How much water is now in "Jug B"?
The answer should be fairly obvious...

I hope that helped a bit?


Kind regards

BizzyX

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I need the explanation to help please

Let d = OP.  Then cos POA = a/d and cos POB = b/d, so POA = acos(a/d) and POB = acos(b/d).

You can then write cos(acos(a/d) + acos(b/d)) = cos(60) = 1/2.

Since cos(x + y) = cos(x) cos(y) - sin(x) sin(y), you can then plug into this formula to solve for d.

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Hi there...

On one hand...
If he works 40 hours on hourly pay of $25,- per hour, that equals $1000,- per week.
On the other hand...
If he chooses to work on commission equaling 10% of weekly sales.
That would mean that he has to sell for a total of $10000,- for the 10% commission to equal his hourly pay of $1000,- a week.

I hope that helped a bit?

Kind regards

BizzyX

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a 26 x26x26x26x10

b 1/10

c 25x26x26x26x10

d 100/(26x26x26x26)

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Hi there...

You started off well, but you came to the wrong conclusion.

"(-4.2 + 5.6)=1.4"

While...

"(1.2 - -4.2)=5.4"

In other words...

"(1.2 - 5.4)=-4.2"

Question...: "How can I get to 1.2 form -4.2?"
Answer...: "(-4.2 + 5.4)=1.2"

I hope that cleared things up a bit?

Kind regards

BizzyX

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Here is the answer:

    x^2 + y^2 ≤ 4x + 6y+13

  =x^2-4x + y^2-6y ≤ 13

  =(x-2)^2+(y-3)^2 ≤ 13+2^2+3^2

  =(x-2)^2+(y-3)^2 ≤ 26

  radius= √26

  the area for circle: (√26)^2 pi

  the answer is: 26 pi

It took a boat 2 hours to reach town A going upstream. The way back was 1h20 min. What is the speed of the boat in still water if the speed of the stream is 3 mph?

Hello Guest!

\((v-3\ mi/h)\cdot 2h=(v+3\ mi/h)\cdot \frac{4}{3}h\\ 2v-6mi/h=\frac{4}{3}v+4mi/h\\ \frac{2}{3}v=10mi/h\)

\(v=15\ mi/h\)

The speed of the boat in still water is 15 mph

  !

What I want you to see is how the graphs relate to the numbers in the equation.

So use the graphs to answer these questions.  You will probably need to go back into Desmos to look at them one at a time.

1a)   y=sinx     has a amplitude of    __________              (1b)   Also, for this one, what is sinx multiplied by?  Hint: it is invisable.

and

2)    y=3 sinx       has a amplitude of    __________

and

3)   y=4 sinx        has a amplitude of    __________

I want you to see how the number that sinx is multiplied by effects the shape of the graph.

4)   What are the wavelengths, y intercepts and   midlines of each of these graphs.  

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Hi there...

If as you say, there's a total of 27 students.

And that 18 of them plays Basketball, 16 of them plays Baseball.
Collectively that equals a 1 in 27 choice, but only a 24/27 chance that one of them plays either sport.
But per sport, there's a 18 in 27 chance that the one picked would play Basketball.

Whilst there is a marginally smaller chance that the one picked would play Baseball, with 16 in 27 chance of that being the case.

As a side note...

There's a 3 in 27 chance that the one being picked would play neither sport.

I hope that helped a bit?

Kind regards

BizzyX

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Ask yourself, What is halfway between half a dollar and a dollar (i.e., $0.50 and $1.00)?

_.

I'm getting 100/9.

thanks

This is a quadratic. Do you want it to be graphed?

Oh, thats how you do it!!! Thank you!!! The person who posted this must be very good at math!!! Thank you for your time! 

Since you are starting at -4,2 and going to 12, you are going in a positive direction, so your answer will be positive.

The formula is (final location) - (starting location)

                    =  (1.2) - (-4.2)

                    =  1.2 + 4.2

                    =  5.6

How many boxes have a weight less than 26?

How many boxes are there?

To find the probability divide the first answer by the second answer.

To find the expected value mutiply each value (X) by the probability that it occurs (P).

Then add all those answers together.