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VladimirAG [237]
3 years ago
7

{0.23,19%,1/5} least to greatest.

Mathematics
1 answer:
Vitek1552 [10]3 years ago
8 0
Least- 1/5
19%
Greatest- 0.23
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how long is the arc intersected by a central angle of π/3 radians in a circle with a radius of 6 feet round your answer to the n
riadik2000 [5.3K]

\bf \textit{arc's length}\\\\ s=r\theta ~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad radians\\ \cline{1-1} r=6\\ \theta =\frac{\pi }{3} \end{cases}\implies s=6\left( \frac{\pi }{3} \right)\implies s=2\pi \implies \stackrel{\textit{rounded up}}{s=6.3}

4 0
4 years ago
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Which of the following graphs represents the function f(x) = x4 - 2x3 - 3x2 + 4x + 1?
s2008m [1.1K]

Answer: Graph D will be correct graph for the given function.

Explanation:

Given function f(x) = x^4-2x^3-3x^2+4x+1

Since it is a bi-quadratic equation thus it must have 4 roots and (0,1) is one of its point.

Moreover, the degree of the function is even thus the end behavior of the function isf(x)\to+\infty, as x\to-\infty and f(x)\to+\infty as x\to+\infty

In graph A, function has four root but it does not have the end behavior same as function f(x).( because in this graph f(x)\to-\infty, as x\to-\infty and f(x)\to-\infty, as x\to+\infty.) so, it can not be the graph of given function.

In graph B,  neither  it has four root nor it has the end behavior same as function f(x).(because in this graph f(x)\to+\infty as  x\to-\infty and f(x)\to-\infty as x\to+\infty.) so, it can not be the graph of given function.

In graph C, neither  it has four root nor it has the same end behavior as function f(x).(because in this graph f(x)\to-\infty as  x\to-\infty and f(x)\to+\infty asx\to\infty.) so, it also can not be the graph of given function.

In graph D it has four root as well as it has the same end behavior as the given function. Also it passes through the point (0,1).

Thus, graph D is the graph of given function.



4 0
3 years ago
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Find the equation of the line with slope m=1/4 that contains the point (4,5).
sladkih [1.3K]

Answer: x - 4y = -16

Step-by-step explanation: Since we're given a point and a slope, we can write the equation of this line using the point-slope formula.

<h2>y  -  y₁  =  m(x  -  x₁)</h2><h2 />

The given point, (4, 5), represents (x₁, y₁).

So if we plug all our given information into the formula,

including our slope of 1/4, we get y - 5 = 1/4(x - 4).

To put our equation in standard form, first, distribute

the 1/4 through the parentheses.

So we get y - 5 = 1/4x - 1.

Remember that standard form cannot have any fractions in it so our next step is to multiply both sides of the equation by 4 to get rid of the fraction.

That gives us 4y - 20 = x - 4.

Now moves the -20 to the right side by adding 20 to both sides.

So we get 4y = x + 16.

Now subtract x from both sides to get -x + 4y = 16.

Finally, our coefficient on our x term must be positive so we

divide both sides by -1 to get x - 4y = -16.

7 0
3 years ago
A $250 suede jacket is on sale for 20%off how much should you pay for the jacket
yarga [219]
250 * 0.20 = $50 sale
250 - 50 = $200
You will pay $200 after sale
4 0
2 years ago
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What are the coordinates of the vertes of the parabola described by the equation below?
dangina [55]

Answer: D. ( -7, - 2 )

Step-by-step explanation:

Rewrite this in vertex form and use this to find the vertex. ( h, k )

3 0
3 years ago
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