Answer:
512ft³
Step-by-step explanation:
A rectangular prism is made up of 32 cubes, each measuring 1 /4 of a foot per side. What is the volume of the rectangular prism?
Since we have 32 cubes with each side = 1/4 foot
= 32 × 1/4 foot
= 8
Hence, the volume of the rectangular prism = 8 × 8 × 8
= 512ft³
Answer:
A): f(x) = (x – 1)² + 2
Step-by-step explanation:
The quadratic function, f(x) = (x – 1)² + 2 is in <u>vertex form</u>: y = a(x - h)² + k, where:
- The vertex of the graph is (h,k).
- The value of <em>a</em> determines whether the graph opens up or down. If <em>a</em><em> </em>is <u>positive</u>, the graph opens up and the vertex is its minimum point. If <em>a </em>is <u>negative</u>, then the graph opens down, and the vertex is its maximum point.
- The value of <em>h</em> determines how far left or right the parent function is translated.
- The value of<em> k</em> determines how far up or down the parent function is translated.
The function, f(x) = (x – 1)² + 2, provides the pertinent information that allows us to determine the parabola's <u>minimum value</u>, as the value of <em>a</em> is a <u>positive</u>, which implies that the parabola is <em>upward facing</em>, and the vertex, (1, 2) is the minimum point.
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Answer:
Step-by-step explanation:
Total percentage = 100%
And we know that proportions of Vanilla +chocolate +strawberry = 100%
Proportion of Vanilla = 45%
Proportion of Strawberry = 1/4 *100 = 25%
Let proportion of chocolate be represented by variable C;
So, 45% +25% + C = 100%
65% +C = 100%
Subtract 65% from both sides to solve for C;
C=100% - 65%
C = 35%
Therefore there is 35% of chocolate in the shop.
The truck was going 40 miles per hour
The amount of time was 2 hours:
(90-80: 10)(10/2=5)
80 divided by two is 40
The car was going 45 miles per hour
(90-80:10)(10/2=5)
90 divided by two is 45
Hopefully you find this helpful
Solve each problem. Volume of a Box A piece of sheet metal is 2.5 times as long as it is wide. It is to be made into a box with an open top by cutting 3 -inch squares from each corner and folding up the sides, as shown at the top of the next page. Let x
represent the width of the original piece of sheet metal. (a) Represent the length of the original piece of sheet metal in terms of x.
(b) What are the restrictions on x?
(c) Determine a function V
that represents the volume of the box in terms of x
(d) For what values of x
(that is, original widths) will the volume of the box be between 600 and 800 cubic inches? Determine the answer graphically, and give values to the nearest tenth of an inch
