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( I have answered this before )

The smallest integer that Pearl wrote down is 15.

Explanation:

7 consecutive integers. They are:

a

a+1

a+2

a+3

a+4

a+5

a+6

Sum of the integers:

a + a + 1 + a + 2 + a + 3 + a + 4 + a + 5 + a + 6 = 7a + 21

6 times the largest of the seven integers.

The largest is a + 6. So

7a + 21 = 6(a + 6)

7a + 21 = 6a + 36

7a - 6a = 36 - 21

a = 15

The smallest integer that Pearl wrote down is 15.

I don't think so. Say the tank has x gallons. The tank capacity is 6x. Then x+2=3x, because 3(1/6)=1/2. Solve to get x=1, so the tank capacity is actually 6.

Thanks! Can you show me how you arrived at that solution so that I will be able to solve similar problems on my own?

Hello! This question has been answered by another user!

I don't want to steal there answer but here it is \(\rightarrow\)

https://web2.0calc.com/questions/a-square-and-an-equilateral-triangle-have-the-same-perimeter-let-abe-the-area-of-the-circle-circumscribed-about-the-square-and-b-be-the-area-of-the-circle

Valubale answers and explanations.

Hello! Not meaning to steal the answer...

But here is another ' web2.0calc ' answer:

https://web2.0calc.com/questions/find-the-number-of-10-digit-numbers-where-the-sum_1

Please refer to that link cointaining valuable answers and explanations!

Hello, Guest

I am unable to answer to your questions because \(\rightarrow\)

There is no picture attached!

Would be that kind and add a picture thanks!

P = 2/3

Explanation:

A circle is formed by every point in the plane that is a certain distance away from another point (center). Thus, it is a curve formed by points moving in the plane at a constant distance from a fixed point. It is also rotationallysymmetric about the center at all angles. A circle is a two-dimensional closed object in which every pair of points in the plane is equally spaced from the "center." A specular symmetry line is formed by a line that goes through the circle. It is also rotationally symmetric about the center at all angles.

We now want A and B to be separated by a distance greater than r. As a result, the angle should be greater than 60 degrees because the radius is equal to 60 degrees and decreases as the angle increases. As a result, point B cannot be in the 60-degree zone of A on both sides, that is, to A's left and right. 

As a result, probability = (angle where B can exist)/ (Total Angle)

P = (360 - (60)-(60))/360

P = 2/3

The possible values of k are 11/2 and -11/2.

The tank capacity is 24 gallons

Explanation:

Let the tank capacity be c.

Then (1/6)c + 2 = (1/4)c, or (since the LCD is 12):

2c/12 + 24/12 =  3c/12, or

24/12 = c/12

Multiplying both sides by 12, we get:

24 = c

The tank capacity is 24 gallons.

This is another double question. Why are so many users reasking questions?

If I could find the original, I would.

However, simplify to get a=24-10b.

Part A: Up 9

Part B: Up 6

Explanation:

Part A: The graph appears to be a cosine graph since it starts at a peak on the y-axis. Normally a cosine graph starts at (0,1). This graph begins at (0,10). It has been shifted up y a translation by 9. 

Part B: Each trig equation has a basic structure f(x) = a sin (x+b) + k where:

= a is the vertical stretch

= b is the horizontal shift

= k is the vertical shift

A vertical translation is a vertical shift and is represented by the value in k added outside of the function. In the equation f(x) = 2sin(θ + 120°) + 6, k = 6. The vertical translation is 6.

A six-digit number can be represented as 10^5a+10^4b+10^3c+10^2d+10^e+f. The sum of the digits is a+b+c+d+e+f. Since this sum is divisible by 10, it follows that f is even. Thus, we can choose f in 25​ ways. For each choice of f, a can be chosen in 9 ways, b in 8 ways, c in 7 ways, d in 6 ways, and e in 5 ways. Therefore, the number of six-digit numbers, where the sum of the digits is divisible by 10, is (9)(8)(7)(6)(5)⋅5/2​=15120​.

Hi Jurimagic,

A squared function is always symmetric.   The axis of symmetry (for a concave up or down one is   \(x=\frac{-b}{2a}\)

you can get the roots by adding and minusing   \(\frac{\sqrt{b^2-4ac}}{2a}\)  to the axis of symmetry

Think about the most simple one.  \(y=x^2\)

\((+x)^2=(-x)^2 \)       so it must be symmetricall about y=0

Cubic functions are never symetrical about a line.   

eg:  concider y=x^3

\((+x)^3\ne(-x)^3\)     so it is fefinitelyt not symmetrical about a line,

You need to do lots of work with these and slowly the logic of it all will seep into your brain.

x = y + z.

r = 2/n.

2. b = 56.

Since there are four suits in a deck of cards and each suit has one five, there are a total of four fives in a deck of 52 cards. This means that the probability of drawing a five on any given draw is 4/52, or 1/13.

Since each draw is independent of the others, the probability of drawing a five on each of the 100 draws is also 1/13. Therefore, we can use the formula for the expected value of a binomial distribution to find the expected number of fives in 100 draws:

E(X) = n * p

where E(X) is the expected number of fives, n is the number of trials (100 in this case), and p is the probability of success on each trial (1/13).

Plugging in the values, we get:

E(X) = 100 * (1/13) = 7.69 =~8

So we would expect to draw a five about 7 or 8 times in 100 draws. Note that this is just an expected value and the actual number of fives drawn may vary from this value.

FV ==7,500  x  e^(0.029*14)

FV ==7,500  x  e^0.406

FV ==7,500  x  1.50080255

FV ==$11,256.00 - FV of the account after 14 years.

turns out the answer is 81

1. 24

2. 15 

1. f(g(f(f(f(g(27)))))) = 3.

Never mind, I got the answer, it's 5/26, apparently 10 is also considered to be greater than nine.

If the median of a list of distinct integers is 5.5, then the middle two are 5 and 6. The average can be as large as possible, but the smallest such list is 1,2,3,4,5,6,7,8,9,10, of which the average is 5.5

10+10 is 20.