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kati45 [8]
4 years ago
14

F w . 3 ii w r i V frankly a C I . x . . I 7 proximal . D telly Amway w 71 iii-HM- J I H 7 cm 7 1 cm r gar 376.3 cm g H I w

Mathematics
1 answer:
den301095 [7]4 years ago
6 0
So we need to find the circumference of this wheel and then multiply it by 4 since the wheel did 4 revolutions!

\sf{Circumference = 2\cdot\pi \cdot r}\\\\\sf{C = 2\pi \cdot 15}\\\\\sf{c=30\pi}\\\\\sf{C\approx 94.25}\\\\\4C = 4 \cdot 94.25\\\\\boxed{\bf{4C \approx 377}}

The answer to your question is D) 376.8 cm.
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Llana [10]

Answer:

  h(x), g(x), f(x)

Step-by-step explanation:

The axis of symmetry of a parabola is the vertical line through its vertex.

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<h3>f(x)</h3>

The equation is written in vertex form:

  f(x) = a(x -h)² +k . . . . . vertex (h, k), scale factor 'a'

The vertical line through the vertex is x=h.

Your equation is ...

  f(x) = -2(x -4) +2

so (h, k) = (4, 2) and the line of symmetry is x=4.

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<h3>g(x)</h3>

The given equation can be written in vertex form:

  g(x) = 5x² -10x +7

  g(x) = 5(x² -2x) +7

  g(x) = 5(x² -2x +1) +7 -5 . . . . complete the square

  g(x) = 5(x -1)² +2

so (h, k) = (1, 2) and the line of symmetry is x=1.

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<h3>h(x)</h3>

Your problem statement tells us ...

  h(x) = -(x +2)² +2

so (h, k) = (-2, 2) and the line of symmetry is x=-2.

The coordinates of the vertex can also be read from the graph: (-2, 2).

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The rank of the functions is the order of {-2, 1, 4}, or h(x), g(x), f(x).

7 0
2 years ago
The coordinate plane below represents a city. Points A through F are schools in the city. graph of coordinate plane. Point A is
Firlakuza [10]
Part A;
There are many system of inequalities that can be created such that only contain points C and F in the overlapping shaded regions.

Any system of inequalities which is satisfied by (2, 2) and (3, 4) but is not stisfied by <span>(-3, -4), (-4, 3), (1, -2) and (5, -4) can serve.

An example of such system of equation is
x > 0
y > 0
The system of equation above represent all the points in the first quadrant of the coordinate system.
The area above the x-axis and to the right of the y-axis is shaded.



Part 2:
It can be verified that points C and F are solutions to the system of inequalities above by substituting the coordinates of points C and F into the system of equations and see whether they are true.

Substituting C(2, 2) into the system we have:
2 > 0
2 > 0
as can be seen the two inequalities above are true, hence point C is a solution to the set of inequalities.


Part C:
Given that </span><span>Natalie can only attend a school in her designated zone and that Natalie's zone is defined by y < −2x + 2.

To identify the schools that Natalie is allowed to attend, we substitute the coordinates of the points A to F into the inequality defining Natalie's zone.

For point A(-3, -4): -4 < -2(-3) + 2; -4 < 6 + 2; -4 < 8 which is true

For point B(-4, 3): 3 < -2(-4) + 2; 3 < 8 + 2; 3 < 10 which is true

For point C(2, 2): 2 < -2(2) + 2; 2 < -4 + 2; 2 < -2 which is false

For point D(1, -2): -2 < -2(1) + 2; -2 < -2 + 2; -2 < 0 which is true

For point E(5, -4): -4 < -2(5) + 2; -4 < -10 + 2; -4 < -8 which is false

For point F(3, 4): 4 < -2(3) + 2; 4 < -6 + 2; 4 < -4 which is false

Therefore, the schools that Natalie is allowed to attend are the schools at point A, B and D.
</span>
7 0
3 years ago
Salem has 150 cookies to sell. Each cookie is one of four types. . 1/6 of cookies are oatmeal raisin. . 1/4 of cookies are sugar
ValentinkaMS [17]

Answer: 22 double chocolate cookies

Step-by-step explanation:

25 oatmeal raisin

38 sugar cookie

65 chocolate chip

22 double chocolate

6 0
3 years ago
A cell phone plan costs $200 to start. Then there is a $50 charge each month. Is there a proportional relationship between time
xxMikexx [17]

Answer:

.

Step-by-step explanation:

The equation is

y = 200+50x

This is not a proportional relationship because it does not go through the origin

If x=0, y does not equal 0

8 0
3 years ago
you are getting your hair cut and it costs you $18.30 you decide to tip the hairdresser 15% how much did you pay in total​
rodikova [14]

Answer:

You pay $21.05 in total!

6 0
3 years ago
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