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vaieri [72.5K]
3 years ago
15

What is the LCM of 81, 6, and 10?

Mathematics
1 answer:
lisabon 2012 [21]3 years ago
6 0

Answer:

The LCM of 81, 6, and 10 is 810.

If you go through the multiples of 810, 6,and 10 you will find they each have the number 810.

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Read 2 more answers
(1 point) Consider the function f(x)=2x3−6x2−48x+5 on the interval [−4,10]. Find the average or mean slope of the function on th
andreyandreev [35.5K]

Answer:

The mean slope on the interval is 68

Step-by-step explanation:

The formula to find the mean slope on an interval [a, b] is given by:

\frac{f(b)-f(a)}{b-a}

So now, we are going to find f(10) and f(-4) and will substitute these values in the formula.

f(10)=2(10)^{3} -6(10)^{2} -48(10)+5\\f(10) =2(1000)-6(100)-480+5\\f(10)=2000-600-480+5\\f(10)=925\\\\f(-4)=2(-4)^{3} -6(-4)^{2} -48(-4)+5\\f(-4)=2(-64)-6(16)+192+5\\f(-4)=-128-96+192+5\\f(-4)=-27

So the mean slope of the function on the interval [-4,10] is:

\frac{f(10)-f(-4)}{10-(-4)} =\frac{925-(-27)}{14} =\frac{925+27}{14} =\frac{952}{14} =68

8 0
3 years ago
I need help Someone please help me!!
Zanzabum
2. The area for a circle is as follows:
A = π{r^2}

The radius of the circle is 4 in, so we plug that into the equation.

A = π (4{in.^2})

4 {in.^2} = (4 in.)(4 in.) = 16 {in.^2}

A = 16π {in.^2}

This is the area for the whole pizza, so divide that by 2 to get the area of the pepperoni

a) 8π {in.^2}

For the bacon, we can just divide the value we already have by 2, since it is half the area of the pepperoni

b) 4π {in.^2}

3. This question is asking for the circumference, whose equation is as follows:
C = 2 π r

We can use the area formula, A = π{r^2} to find the radius of this circle
36π = π{r^2}

Divide both sides by π:
36 = {r^2}

Square root both sides:
r = 6 in.

Plug in this value to the circumference formula, C = 2 π r
C = (2)(π)(6 in.)

Your final answer is:
C = 12π in.
3 0
3 years ago
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