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MatroZZZ [7]
3 years ago
8

Your town has seen a steady decrease of job opportunities by the amount of 10% every year. If the number of jobs available at th

e end of last year was estimated at 350,000, then how many jobs will there be by the end of the following year?
Mathematics
1 answer:
anzhelika [568]3 years ago
5 0
350,000*-10%=?
350,000*90%=?
?=315000

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14. A sphere is inscribed in a cube with an edge of 10. What is the shortest possible distance from one of the vertices of the c
DedPeter [7]

Answer:

5(√3 - 1)

Step-by-step explanation:

Edge of cube = 10

If the sphere is inscribed in a cube, the edges of the cube is equal to the diameter of the sphere.

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We will then find the diagonal of the cube.

Diagonal = √10^2 + 10^2 + 10^2

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Let X be the distance between the vertex of the cube and the surface of the sphere

X = (diagonal - diameter) /2

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3 is less than or equal to 7+g
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Yakvenalex [24]

Answer:

Step-by-step explanation:

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3 years ago
The graph of the continuous function g, the derivative of the function f, is shown above. The function g is piecewise linear for
4vir4ik [10]
A) g=f' is continuous, so f is also continuous. This means if we were to integrate g, the same constant of integration would apply across its entire domain. Over 0, we have g(x)=2x. This means that


f_{0


For f to be continuous, we need the limit as x\to1^- to match f(1)=3. This means we must have


\displaystyle\lim_{x\to1}x^2+C=1+C=3\implies C=2


Now, over x, we have g(x)=-3, so f_{x, which means f(-5)=17.


b) Integrating over [1, 3] is easy; it's just the area of a 2x2 square. So,


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c) f is increasing when f'=g>0, and concave upward when f''=g'>0, i.e. when g is also increasing.

We have g>0 over the intervals 0 and x>4. We can additionally see that g'>0 only on 0 and x>4.


d) Inflection points occur when f''=g'=0, and at such a point, to either side the sign of the second derivative f''=g' changes. We see this happening at x=4, for which g'=0, and to the left of x=4 we have g decreasing, then increasing along the other side.


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5 0
2 years ago
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