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erica [24]
3 years ago
13

If m+1/m= 3, then prove that m^5+1/m^5= 123

Mathematics
1 answer:
Lady_Fox [76]3 years ago
6 0

Step-by-step explanation:

\qquad\sf {:}\longrightarrow m+\dfrac {1}{m}=3

\qquad\sf {:}\longrightarrow m^2+1/m=3

\qquad\sf {:}\longrightarrow m^2+1=3m

\qquad\sf {:}\longrightarrow m^2-3m+1=0

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The cone has a height of 9 in and a diameter of 6 in. Find the volume of the popcorn container. Use 3.14 for π
Keith_Richards [23]

Answer:

The volume of the popcorn container is V=84.78\ in^3

Step-by-step explanation:

we know that

The volume of the cone is equal to

V=\frac{1}{3}\pi r^{2}h

where

r is the radius of the base of cone

h is the height of the cone

In this problem we have

r=6/2=3\ in ----> the radius is half the diameter

h=9\ in

\pi =3.14

substitute the values

V=\frac{1}{3}(3.14)(3)^{2}(9)

V=84.78\ in^3

8 0
3 years ago
Please help, I don’t understand this
kondor19780726 [428]

Answer:

same here

have a nice day

8 0
3 years ago
PLEASE HELP
Gelneren [198K]

Step-by-step explanation:

8.9x-5 and -6.8x+8

8.9-6.8 + -5+8

2.1x+3

4 0
3 years ago
D(-3,4) E(7, 6) 1:3
sesenic [268]

Answer:d

Step-by-step explanation:

4 0
3 years ago
Please help I’m really confused and need to learn this
egoroff_w [7]

Answer:

2.

Step-by-step explanation:

For #2, another way to word this question is: For which of the following trig functions is π/2 a solution? Well, go through them one by one. If you plug π/2 into sinθ, you get 1. This means that when x is π/2, y is 1. Try and visualize that. When y is 1, that means you moved off the x-axis; so y = sinθ is NOT one of those functions that cross the x-axis at θ = π/2. Go through the rest of them. For y = cos(π/2), you get 0. At θ = π/2, this function crosses the x-axis. For y = tanθ, your result is undefined, so that doesn't work. Keep going through them. You should see that y = secθ is undefined, y = cscθ returns 1, and y = cotθ returns 0. If you have a calculator that can handle trig functions, just plug π/2 into every one of them and check off the ones that give you zero. Graphically, if the y-value is 0, the function is touching/crossing the x-axis.

Think about what y = secθ really means. It's actually y = 1/(cosθ), right? So what makes a fraction undefined? A fraction is undefined when the denominator is 0 because in mathematics, you can't divide by zero. Calculators give you an error. So the real question here is, when is cosθ = 0? Again, you can use a calculator here, but a unit circle would be more helpful. cosθ = π/2, like we just saw in the previous problem, and it's zero again 180 degrees later at 3π/2. Now read the answer choices.

All multiples of pi? Well, our answer looked like π/2, so you can skip the first two choices and move to the last two. All multiples of π/2? Imagine there's a constant next to π, say Cπ/2 where C is any number. If we put an even number there, 2 will cut that number in half. Imagine C = 4. Then Cπ/2 = 2π. Our two answers were π/2 and 3π/2, so an even multiple won't work for us; we need the odd multiples only. In our answers, π/2 and 3π/2, C = 1 and C = 3. Those are both odd numbers, and that's how you know you only need the "odd multiples of π/2" for question 3.

6 0
3 years ago
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