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harkovskaia [24]
3 years ago
13

Is negative three a perfect cube?

Mathematics
1 answer:
erik [133]3 years ago
6 0

No, it is not a perfect cube. A perfect cube is a number that is obtained when you cube an integer. For example, 8 (cube of 2), 27 (cube of 3) and 64 (cube of 4). Since -3 cannot be obtained by cubing an integer, it is not a perfect cube.

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After a dreary day of rain, the sun peeks through the clouds and a rainbow forms. You notice the rainbow is the shape of a parab
Gekata [30.6K]

We can answer the first part of the question not taking intersecting function into account. The domain of y=-x^{2}+36 is all the numbers, x∈(-∞, +∞) and the range is y∈(-∞, 36]. We can observe these results with the help of a graph, as well. Since we are talking about the rainbow, the values above the ground level will make sense. In this case, we will take into account the range as it changes between 0 and 36, included and the domain between -6 and 6. Here (0;36) is the y-intercept and (-6;0) and (6;0) are the x-intercepts of the parabola.


Since in our problem, the linear function that intersects parabola is not given, we have to provide it by ourselves according to the conditions of the problem. It could be any line intersecting parabola in two points. One important point is that the y-intercept has to be no more than 36. Considering these conditions, we can set our linear function to be y=0.5x+5. We can observe the points that we included in the table (they have been given with orange dots in the graph and the table is attached below). We can see that the values of the function (values of y) are positive. Indeed, we are discussing the part of the rainbow above the ground level.


The system of equations with linear and quadratic functions has got two solutions and we can observe that result from the graph. The solutions are (-5.823; 2.088) and (5.323; 7.662). The solutions are the intersection points.

7 0
3 years ago
the area of a trapezoid is 780 cm squared. the shorter base is 48 cm and the height is 15 cm. Find the length of the other base
Anna35 [415]
If you multiply 48cm times 15cm,you get 720cm.Which would leave you with 60 left because 780 minus 720 equals 60.The height of the other base is 60cm.
6 0
3 years ago
Some farms use a hay elevator to move bales of hay to the second story of a barn loft. The bottom of the elevator is 9 meters fr
-Dominant- [34]

Answer: The height is 6.07 meters

Step-by-step Explanation: The distance between the elevator and the bottom of the barn is given as 9 meters. Also for the hay elevator to move bales of hay to the second story of the barn lift it makes an angle of elevation of 34 degrees with the ground. With these we can derive a right angled triangle with the reference angle as 34 degrees, the side facing it which is the height or h (opposite) is yet unknown, and the side between the reference angle and the right angle (adjacent) is 9. We shall apply the trigonometric ratio as follows;

Tan 34 = opposite/adjacent

Tan 34 = h/9

0.6745 = h/9

0.6745 x 9 = h

6.0705 = h

Therefore the approximate height of the barn to the ground is 6.07 meters

3 0
3 years ago
Read 2 more answers
In need of help of these math questions
vitfil [10]

Answer:

1. 4

2.  6.4

3. 10.0828313253

Explanation:

2.

15/12=1.25

8/1.25=6.4

3. ill write explanation for 3 later im  occupied those are the correct answers

problably they want you to round to nearest tenth

4 0
3 years ago
If a line has a slope of 1/10, what is the slope of a line that is parallel?
34kurt
It’s D because if it’s parallel then it’s gonna be negative
4 0
2 years ago
Read 2 more answers
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