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3 years ago

Multiply and simplify.2x^4yx times 6xy^2z^3

Mathematics

1 answer:

ExtremeBDS [4]3 years ago

5 0

Answer:

The answer is:

$12x^6y^3z^3$

Step-by-step explanation:

When we are asked to multiply the two terms or the polynomials, then we can use the formula:

$\:a^b\cdot \:a^c=a^{b+c}\\$

So we can so thing only for the same base expressions or the like terms. Now, there are other techniques too, to find the multiplication of two or more than two terms.

Now, the given multiplication form is:

$\left(2x^4yx\right)\left(6xy^2z^3\right)\\$

So we have:

$\left(2x^4yx\right)\left(6xy^2z^3\right)\\=2y\cdot \:6x^{4+1+1}y^2z^3\\=12x^6y^3z^3$

Thus it is the required simplified form.

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Work out 6z - 4z .what is the answer?

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Answer:

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Step-by-step explanation:

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2 years ago

Find the surface area of each figure. Round to the nearest tenth if necessary.

Andre45 [30]

Answer:

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2 years ago

1. find the balance after one year if you deposit all the money into an account that pays $2.50 in simple interest each month (t

Naddika [18.5K]

1. Balance after 1 year with simple interest= 600 + (2.5 x 12) = 600 + 30 = $630

2. Balance after 1 year with compounded interest = P ( 1 + $\frac{r}{n}$ $)^{nt}$

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3 years ago

Please help me in this question.Tell me if it is good. And if it is not good then do it for me please.

Orlov [11]

Answer:

Y = 170, Z = 64.

Step-by-step explanation:

Since y is the external angle to x, which you got right, it is in fact, 180-10, = 170 degrees. And since z is the external to our unknown angle, that means it is equal to the sum of the other two angles in the triangle. That means z is 54 + 10, which is 64.

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3 years ago

I really need help please answer

belka [17]

Answer: Choice B) between 6:48 AM and 5:12 PM

=========================================================

Explanation:

I've seen this problem before, and the first part states that if the temperature is above 25 degrees C, then the air conditioner turns on to start cooling the castle.

We want to find values of t that satisfy f(t) > 25

This is the same as trying to solve f(t) - 25 > 0

So we have,

$f(t) = 24 - 5\cos\left(\frac{\pi}{12}t\right)\\\\ f(t)-25 = 24 - 5\cos\left(\frac{\pi}{12}t\right)-25\\\\ f(t)-25 = -1 - 5\cos\left(\frac{\pi}{12}t\right)\\\\ f(t)-25 > 0\\\\ -1 - 5\cos\left(\frac{\pi}{12}t\right) > 0\\\\$

To solve this inequality, we can graph using Desmos as I've done so below. See the attached image.

Note how I used x in place of t. This is because the graphing calculator graphs (x,y) coordinates.

Furthermore, note how I marked the two points (6.769, 0) and (17.231, 0)

Between these two points is when the curve is above the x axis, when f(t) > 25 is true. This is when the temperature is above 25 degrees C, and when the air conditioner is working.

When t = 6.769, this means that roughly 6.769 hours have passed since midnight which means we're somewhere between 6 am and 7 am. The only value that works from the answer choices is 6:48 AM.

Note how 0.769*60 = 46.14 is fairly close to 48. This error is likely due to how things are rounded.

Then focusing on the point (17.231, 0) means that t = 17.231. So 17.231 hours have elapsed since midnight and we're now at roughly 1700 hours

1700 hours in military time = 17-12 = 5 pm

The time value t = 17.231 is between 5 pm and 6 pm. The only thing that works is 5:12 pm.

We can then note how 0.231*60 = 13.86 which is also probably due to rounding error (it's fairly close to 12 though).

--------------------------

In short, we found the function for f(t)-25 and graphed it as shown below. The two points (6.769, 0) and (17.231, 0) help us see when the AC is turned on, which is roughly between 6:48 AM and 5:12 PM. This seems like a reasonable time for the AC to be operational. Something like between 5:12 PM and 6:48 AM seems like a bad idea because the AC would be working mostly at night, instead of during the day.

Anything beyond t = 24 represents the next day, which is when the cycle starts all over again. So we only need to focus on the window from t = 0 to t = 24. Specifically, the portion of the f(t)-25 curve that is above the x axis.

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3 years ago