a. Suppose the paper is 11"-wide by 13"-long. Let a represent the length of the side of the square cutout (in inches), and let V represent the volume of the box (in cubic inches). i. Write a formula that expresses V in terms of x. V = x(11-2x)(13-2x) ii. If the cutout length increases from 0.5 to 2.6 inches, how much does the volume of the box change by? 14.0608 |1 cubic inches Preview iii. Estimate the maximum volume for this box? Tip: Use a graphing tool like www.Desmos.com. * cubic inches Preview

Q: How can I solve question 27?

A: Given percentages for the countries are below: C: 71.9% F: 59.6% I: 76.1% UK: 45.5% US: 45.3%

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A: Given graph is a straight line so

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A: Given that, the graph of the function is fx=4x and also given that, the function shifted down 6…

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A: A) Since every year, total reserves decrease by 16 billion barrels of oil, therefore: R=2000-16t,…

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A: Consider the provided graph,

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A: A linear equation needs two parameters - the slope and the intercept. The slope is the amount of…

Q: How would I solve these?

A: Since you have asked multiple questions in a single request, we will be answering only the first…

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A: Given vectors: Denote the given two vectors as A and B.

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A: From the given function: plot  f(x)=3 from -∞<x≤-2 plot  f(x)=-2x-1 from x>-2  to x≤1   x…

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Q: I am not sure how to even go about solving this.

A: The following is the formulae to calculate Weighted Average (W)…

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A: Given:       y>12x−1y<−4x−2

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A: Given: P0=15800, r=5% we know that if initial population is P0 and annual growth rate is r% per year…

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A: Let the graph is obtained from the graph of x2  by shifting h units to the right and  k units upward…

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.