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34kurt
3 years ago
10

How many 7s are in 1000​

Mathematics
1 answer:
rosijanka [135]3 years ago
4 0
300

Explanation-
I just know :)
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A stadiun holds 50,000 people. The stadium is divided into 250 different seating sections. How many seats are in each section?
Feliz [49]
50,000/250= 200 There are 200 seats in each section.
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F(x)=1/2x+8 f(4)=solve
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F(4)=.5×4+8

simplified to F(4)=2+8,

simplified even more means F(4)=10.
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Find the x-coordinates of any relative extrema and inflection point(s) for the function f(x)= 6x^1/3 + 3x^4/3. You must justify
irina [24]

Answer:

x-coordinates of relative extrema = \frac{-1}{2}

x-coordinates of the inflexion points are 0, 1

Step-by-step explanation:

f(x)=6x^{\frac{1}{3}}+3x^{\frac{4}{3}}

Differentiate with respect to x

f'(x)=6\left ( \frac{1}{3} \right )x^{\frac{-2}{3}}+3\left ( \frac{4}{3} \right )x^{\frac{1}{3}}=\frac{2}{x^{\frac{2}{3}}}+4x^{\frac{1}{3}}

f'(x)=0\Rightarrow \frac{2}{x^{\frac{2}{3}}}+4x^{\frac{1}{3}}=0\Rightarrow x=\frac{-1}{2}

Differentiate f'(x) with respect to x

f''(x)=2\left ( \frac{-2}{3} \right )x^{\frac{-5}{3}}+\frac{4}{3}x^{\frac{-2}{3}}=\frac{-4x^{\frac{2}{3}}+4x^{\frac{5}{3}}}{3x^{\frac{2}{3}}x^{\frac{5}{3}}}\\f''(x)=0\Rightarrow \frac{-4x^{\frac{2}{3}}+4x^{\frac{5}{3}}}{3x^{\frac{2}{3}}x^{\frac{5}{3}}}=0\Rightarrow x=1

At x = \frac{-1}{2},

f''\left ( \frac{-1}{2} \right )=\frac{4\left ( -1+4\left ( \frac{-1}{2} \right ) \right )}{3\left ( \frac{-1}{2} \right )^{\frac{5}{3}}}>0

We know that if f''(a)>0 then x = a is a point of minima.

So, x=\frac{-1}{2} is a point of minima.

For inflexion points:

Inflexion points are the points at which f''(x) = 0 or f''(x) is not defined.

So, x-coordinates of the inflexion points are 0, 1

7 0
3 years ago
The car is traveling up a steep ramp to a parking garage. The ramp is 445 feet long and rises a vertical distance of 80 feet. Wh
Olin [163]
The ramp is modelled as shown in the diagram below.

The angle of elevation from the car is the angle form by the horizontal line and the observer eye from the car. In the diagram, this angle is marked by x

We use trigonometry ratio to work out the value of x

tan(x)= \frac{opposite}{adjacent}
tan(x)= \frac{80}{445}
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What is the unit rate of $91 and 14 hours
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$91/$14=$6.5 so the unit rate is $6.50
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