Answer:
-1
Step-by-step explanation:
-100x = 100
-x = 100/100
-x = 1
x = -1
Answer:
Increasing: -10<x<-8. 8<x<10. -2<x<0.
Deacresing: 3<x<7.
Neither Increasing nor decreasing: -8<x<-5
Answer:
44. f(x) = x/(x2 * 1) 1 45. f(x) = 3x15 * 5x3 + 3 46. f(x) = x + — x 47. (a) Use a graphing calculator or computer to graph the function f(x) = x4 * 3x3 * 6x2 + 7x + 30 in the viewing 1 l3. F(x)=(%x)5 ... t 3|. '=* 32. = > 1) y (t*1)2 t2+2 r=\/Y 33. '= 34.
Step-by-step explanation:
The volume of the cube that perfectly fits an 18 ft³ pyramid is calculated as (C) 54 ft³.
<h3>
What is a cube?</h3>
- A cube is a three-dimensional solid object with six square faces, facets, or sides, three of which meet at each vertex.
- The cube is one of the five Platonic solids and the only regular hexahedron.
- It has six faces, twelve edges, and eight vertices.
To find the volume of the cube that perfectly fits an 18 ft³ pyramid:
We have been provided that:
- 18 cubic feet is the volume of the pyramid.
- Now, in order for this pyramid to fit exactly into a cube, the base of the pyramid must be square, and the height of the pyramid must be equal to the height of the cube.
- We can conclude from this that the volume of a cube equals three times the volume of a pyramid.
- So, the volume of the cube = 3 × 18
- The volume of Cube = 54 ft³
Therefore, the volume of the cube that perfectly fits an 18 ft³ pyramid is calculated as (C) 54 ft³.
Know more about a cube here:
brainly.com/question/1972490
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The correct question is given below:
The volume of a pyramid that fits exactly inside a cube is 18 cubic feet. what is the volume of the cube?
(A) 6 cubic feet
(B) 18 cubic feet
(C) 54 cubic feet
(D) 72 cubic feet
Answer:
140
Step-by-step explanation:
We have been given two fractions
and
. We are asked to find the least common denominator of both fractions.
To find the least common denominator of both fractions, we will find least common multiple of 20 and 28.
Prime factorization of 20: 
Prime factorization of 28: 
Least common multiple of 20 and 28 would be:
.
Therefore, the least common denominator of both fractions would be 140.