Answer:
The amount by which the sugar canister is smaller than the flour canister is 136 in³
Step-by-step explanation:
The dimensions of the flour canister = 5 and 1/2 inches by 4 inches by 10 inches
(5 and 1/2 = (5 1/2))
(3 and 1/2 = (3 1/2))
The dimensions of the smaller sugar canister = 3 and 1/2 inches by 3 inches by 8 inches
The volume of the rectangular prism = Length × Width × Height
∴ The volume of the flour canister = (5 1/2) × 4× 10 = 220 in.³
The volume of the sugar canister = (3 1/2) × 3 × 8= 84 in.³
The difference in volume between the flour canister and the sugar canister is given as follows;
220 in.³ - 84 in.³ = 136 in.³
The amount by which the sugar canister is smaller than the flour canister = 136 in.³.
Answer:
5x^2-x
Step-by-step explanation:
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1) A quadratic will have no real roots when its discriminant is negative
Dividing by 4,
We have a positive coefficient on k^2 so this parabola is a CUP (concave up positive) so has a minimum at the vertex. If the vertex y value is less than zero, the inequality will be true in the range between the zeros.
That's true for
2) We look for the meet of the line and the parabola:
For two intersections we need a positive discriminant:
That's means two negative or two positive, so
or 
The volume of the dilated prism when the dimensions are dilated by a factor of 32 is 393,216 m³.
<h3>What is dilation?</h3>
Dilation means the changing of the size of the object without changing the shape. The size of the object may be increased or decreased based on the scale factor.
Given
A prism with a base area of 3 m² and a height of 4 m is dilated by a factor of 32.
The area after the dilation.
Dilated area = (Dilation)² x base area
Dilated area = 32² x 3
Dilated area = 3072 m²
The height after the dilation.
Dilated area = Dilation x base area
Dilated area = 32 x 4
Dilated area = 128 m
The volume of the dilated prism.
Volume = 3072 x 128
Volume = 393216 m³
The volume of the dilated prism is 393,216 m³.
More about the dilation link is given below.
brainly.com/question/8652140
