All Answers 358514 Answers

0.99  x  200 ==198 kg - water by weight

200  -  198 ==2 kg - fruit by weight.

After drying up in the sun for two days, we have:

90% - water by weight

10% - fruit by weight

B ==weight of the berries

But fruit by weight ==2 kg. Therefore, we have:

10%B ==2 kg

0.10B == 2

B == 2 / 0.10 ==20 kg - weight of the berries after 2 days in the sun.

Shouldn't you:

1 - count the number of white triangles =27

2 - count the number of shaded triangles =19

3 - Total number of triangles: 27 + 19 =46

4 - Probability of random point landing in the unshaded area: 27 / 46

x = 14.

If I had a printer, what I would do is print out that figure. Then, using a straight edge, I'd fill in all the diagonal lines and all the horizontal lines.  That would divide up the figure into a whole bunch of little triangles, all the same size.  Then count the number of unshaded triangles and divide that by the total of all the unshaded triangle plus all the shaded triangles.  

_. 

What you have is an expression, no = sign. so you must get a common denominator.

when you have an equation with an = sign, then you can multiply everything by number,

the reason is the multiplication property of equality requires an equal sign to maintain equation balence.

In your example, notice the top answer still has /6 in it, where in the bottom part, notice the /6 is gone.

so you have different answers.

The probability of getting exactly 1 blue marble is 2/7.

The probability of getting a blue marble on the first draw is 3/7.

The probability of getting a red marble on the second draw is 4/7.

The probability of getting exactly 1 blue marble is the product of these two probabilities, which is 2/7.

Another way to solve this problem is to use the fact that the probability of getting a certain outcome is equal to the number of ways to get that outcome divided by the total number of possible outcomes.

The total number of possible outcomes is 7, because there are 7 marbles in the bag.

There are 2 ways to get exactly 1 blue marble, because you can either get a blue marble on the first draw and a red marble on the second draw, or you can get a red marble on the first draw and a blue marble on the second draw.

Therefore, the probability of getting exactly 1 blue marble is 2/7.

That's wrong, I would also like an explantion for how to get the answer so I could improve.

The probability is 3/8.

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i dont think thats correct?

We have that g(−7)=5(−7)2=245. Since −7>10, we use the third definition of g(x). Therefore, g−1(−7) is the value of x such that g(x)=245 and x>10. This occurs when x=25. Therefore, g−1(−7)=25​.

Let A be the point (a,3a2−5a−3) and B be the point (b,3b2−5b−3). Since the origin is the midpoint, a+b=0.

The squared distance between A and B is \begin{align*} AB^2&=(a-b)^2+(3a^2-5a-3-(3b^2-5b-3))^2\ &=a^2+b^2+6(a^2-b^2)+10(a-b)+9\ &=a^2+b^2+10(a-b)+9. \end{align*}Since a+b=0, replacing b with −a, we get AB2=a2+(10a)+9=a2+10a+9.

We need to find the value of a that minimizes this expression. The expression a2+10a+9 is a quadratic expression in a, whose vertex is at −210​=−5. Since a is negative, the expression is minimized when a=−5. Therefore, a=−5, and AB^2 = a^2+10a+9 = (−5)^2+10(−5)+9 = 46​.

push the Abc button

1 / sqrt 2

We have that C(C(C(n)))=16. If n is even, then C(n) is odd, so C(C(n)) is even, so C(C(C(n))) is a multiple of 9. However, 16 is not a multiple of 9, so n cannot be even.

If n is odd, then C(n) is even, so C(C(n)) is odd, so C(C(C(n))) is a multiple of 3. Since 16 is a multiple of 3, we have that C(C(n))=16. Then C(n)=3n+1=16, so n=5.

Therefore, the only solution is n=5​.

The slope of the line is (11-5)/(1-4) = -2 So the equation of the line is (y - 5) / (x - 4) = -2. y - 5 = (-2)(x - 4) y = -2x + 13 So a = -2.

Here's the full solution:

The equation of a line can be written in the form y = mx + b, where m is the slope of the line and b is the y-intercept.

The slope of the line passing through (1,11) and (4,5) can be calculated using the following formula:

m = (y2 - y1)/(x2 - x1)

= (5 - 11)/(4 - 1)

= -2

The equation of the line can now be written as:

y = -2x + b

To find the value of b, we can substitute one of the points, such as (1,11), into the equation.

11 = -2(1) + b

11 = -2 + b

13 = b

The equation of the line is therefore y = -2x + 13.

The value of a is -2.

V=1/3 * a^2 * h

Multiply both sides by 3

3V = a^2 * h

Divide both sides by a^2

3V/a^2 = h

OR:

h = 3V / a^2

Let us assume you have 100 games per season

100  -  75 ==25 games left to play

20%  x  75 ==15 games won out of the 75 games played.

75 - 15 ==60 games lost

Of the 25 games left to play, you must win:

100% or all remaining 25 games.

25 + 15 games already won ==40 games won for the entire season.

Therefore, even if you win ALL the remaining 25 games, you will never have 50% win rate, since you can have maximum of 40 games won and 60 games lost. In order to have 50% win rate, you must have won 1/3 of the first 75% of the games played.

Note: Total number of games per season does not matter, whether it is 100 games, 200 games or 1000 games. 

Vockey did a good job, and his method was fine, but  

sometimes it's helpful to see a similar, but alternative,  

approach.  The following is how I answered this same  

problem a while back:   

One ordered pair (a,b) satisfies the two equations ab^4 = 48 and ab = 72.

What is the value of b in this ordered pair? 

To find b, consider                                                  ab⁴  =  48  

We will divide both sides by ab.  

Since ab=72, we will divide the left side  

by "ab" and the right side by its equal 72.  

                                                                              ab⁴         48  

                                                                             ——   =   ——  

                                                                              ab           72  

Note that ab⁴ = (ab) * (b³)  

Cancel ab out of the left side.  

Reduce 48/72 on the right side.  

                                                                               b³           2  

                                                                             ——   =   ——  

                                                                                1            3  

                                                                                 b   =   cube root of (2 / 3)  

_.

15^2- (37^2 - 33^2 - 15)^2

1 - Calculate the numbers in parenthesis first:

15^2 - (1369 - 1089 - 15)^2 

2 - 15^2 - ( - 1369 + 1089 + 15)^2

3 - 15^2 -  265^2

4 - 225 - 70225

5 - = - 70,000 - which is same as you got.

We can compute this expression as follows:

15^2- (37^2 - 33^2 - 15)^2 = 225 - (1369 - 1089 - 15)^2 = 225 - (280)^2 = 225 - 78400 = -78175

Therefore, the answer is −78175.

 Hi! I don't understand how 0.4(x + 500) = 150 + 0.3x and x=125 . I'm getting x=-500.