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4 years ago

I really don't understand this

Mathematics

2 answers:

RoseWind [281]4 years ago

6 0

Answer:

-1

Step-by-step explanation:

The mean is the sum of all values divided by the amount of values.

We take the sum of all the numbers:

-3 + -8 + 12 + -15 + 9

-11 + 12 + -15 + 9

1 + -15 + 9

10 + -15

-5

We then divide the sum by how many number we have (we are given 5 numbers):

-5/5 = -1

Therefore, our mean is equal to -1.

Archy [21]4 years ago

4 0

Answer:

-1

Step-by-step explanation:

-3 + -8 + 12 + -15 + 9 = -5 Now divide it by the amount of numbers given. -5 / 5 = -1

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Nat2105 [25]

Answer:

The third or fifth answer but mostly third the glaboal depression known as great depression was mostly known for people getting mad because their work checks decreased this caused a lot of people to not work and quit their jobs now that you think of it mabye you can choose a or c please choose both or one these are most recommended........... so i did some research and the answer is #1

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Official answer: The first answer/ A

Step-by-step explanation:

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6 0

2 years ago

(-2x²y)³ / (xy²z)² * (-yz)² Hello guys, im having trouble with this babe...

Masja [62]

$\frac{(-2x^2y)^3}{(xy^2z)^2(-yz)^2}$

On top: (-2)³ = -2 × -2 × -2 = -8
(x²)³ = x^6 (the exponents multiply)
and of course, (y)³ = y³

On the bottom: (xy²z)² = x² y^4 z²
(-yz)² = y²z²
Multiplying these together, the exponents add and we get x² y^6 z^4.

$\frac{-8x^6y^3}{x^2y^6z^4}$

So, your reasoning is correct for what you have so far.

Your next step would be cancelling shared factors from the top and bottom.
Just like with regular fractions, if the numerator and denominator are divisible by the same number, you can divide them by it to simplify. (ex: 4/6 = 2/3)

Well, x^6 and x^2 are both divisible by x^2, right?
We can also cancel the y^3.

It might help to visualise the factors like this:

$\frac{-8xxxxxxyyy}{xxyyyyyyzzzz}$

Once you've cancelled out x² and y³ from each, you're left with

$\boxed{\frac{-8x^4}{y^3z^4}}$

7 0

4 years ago

What is the maximum or minimum value? f(x) = -(x - 8) ^ 2 - 25

Rina8888 [55]

Answer:

You have a maximum when the parabola opens down (-x^2), and a minimum when it opens up (+x^2). In your case, it opens down because of the -. That is the special notation, the vertex of the parabola is already there.

8 0

2 years ago

1. The following diagram shows part of the graph of y=p⋅sin(qx)+r. The point A (15, 2) is a maximum point and B(45, 1) is a mini

siniylev [52]

Answer: y = (1/2)*sin(x*pi/30) + 3/2

Step-by-step explanation:

We have the equation:

y = p*sin(q*x) + r.

in this case, p is the amplitude, which is calculated as half of the difference between the value at the peak (the maximum) and the value at the troughs (the minimums).

q is related to the period

r is the mid value of the function, will be equal to the minimum plus the amplitude (or the maximum minus the amplitude).

We know that the maximum is (15, 2) (x = 15, y = 2)

We know that the minimum is (45, 1) (x = 45, y = 1)

Then the value of y at the peak is 2, and the value of y at the trough is 1.

This means that the amplitude is:

p = (2 - 1)/2 = (1/2)

And we know that r is equal to the minimum plus one time the amplitude, then:

r = 1 + 1/2 = 3/2.

Then, for now, our equation is:

y = (1/2)*sin(q*x) + 3/2.

Now we can use the information that (15, 2) is a maximum.

We know that the maximum value of the function sin(x) is 1.

and it is when:

x = (pi/2) + n*2*pi (where n is a whole number)

Then we must have that:

15*q = (pi/2) + n*2*pi

as this is periodic, we can define n = 0 and it will be the same.

15*q = pi/2

q = (pi/2)/15 = pi/30.

Now, let's test this with the minimum.

The minimum of the sin(x) function is when:

x = (3/2)*pi + k*2*pi (where k can be any whole number)

and we have a minimum at x = 45, then:

q*45 = (3/2)*pi + k*2*pi

(pi/30)*45 = (3/2)*pi + k*2*pi

(45/30) = (3/2) + k*2

3/2 = 3/2 + k*2

If we take k = 0, then the equality is true

Then q = pi/30 is consistent.

So we can conclude that the equation is:

y = (1/2)*sin(x*pi/30) + 3/2

5 0

3 years ago

Find the value of y. 18

Advocard [28]

Answer:30

Step-by-step explanation:

Since it is a right angled triangle we can apply Pythagoras principle to get y

Adjacent=a=18

Opposite=k=24

Hypotenuse =y

y=√(k^2+a^2)

y=√(24^2+18^2)

y=√(24x24+18x18)

y=√(576+342)

y=√(900)

y=30

8 0

3 years ago