(Please Help !) The relationship between two numbers is described below, where x represents the first number and y represents the second number. The square of the first number is equal to the sum of the second number and 16. The difference of 4 times the second number and 1 is equal to the first number multiplied by 7. Select the equations that form the system that models this situation. Then, select the solution(s) of the system. Equations Solutions y2 + 16 = x (2x)2 = y + 16 (1,15) (5,9) x2 = y + 16 7y – 1 = 4x (2,-12) (8,48) 1 – 4y = 7x 4y – 1 = 7x (4,-7) (9,3)
An energy transformation flow diagram is shown. X is a type of energy and Y is the location where the energy transformation is taking place. letter X followed by an arrow with letter Y written on top of the arrow and Electrical Energy written after the arrow What do X and Y represent? X = chemical energy; Y = wind turbine X = chemical energy; Y = hydroelectric power plant X = gravitational energy; Y = thermal power plant X = gravitational energy; Y = hydroelectric power plant
Business people use spreadsheets to organize and analyze data. The column letter and row number, as shown, identifies the cells. Activity 1 Below is an example of a simple spreadsheet. What is the number in cell B2? What is the number in cell C1? What is the number in cell A3? Use mental math to find the sum of each row, column, and diagonal. What did you discover about all of the sums?
In order for Peter to be watching, in the ordinary meaning of the word, he must have the ability to see. Something must also be the cause of the projection, whether projected on the wall or TV Statement (13) is also . an obviously entailed statement, but in a different sense. As it necessarily follows from (10) with the addition that A Field of Dreams is a movie, it is not part of the functionally minimized set of necessary and sufficient conditions, but should be included because obvious entailment includes all necessary statements. Why, or how, are statements such as (9), (11) and (12) obviously entailed?
On a recent shopping trip, Arnold started with $150. He spent these amounts at various stores $49.81, $32.43, $25.90, $14.58, $23.33. How much remained of $150 when he was finished? Estimate by rounding amounts to the nearest dollar then computing
Although diagramming as it is described by Jackson and Newberry (2016) is difficult in a discussion forum, talking about our experiences doing so is not. Take one of the arguments from Exercise 4.18, but, in this case, do use one divisible by 3 (3, 6, 9, etc.), and diagram it on paper, following the directions in the chapter. Then, after comparing what you have with the right answer in the last section of the book, discuss what you learned from the exercise.
Compare how you would model and record finding the sum and difference of two rocks weighing 2/8 pounds and 3/8 pound
Hooke”s Law: the force required to stretch or compress a spring beyond its natural length is f (x) = kx where k is called the spring constant. Example A force of 10 lb is required to stretch a spring from its natural length of 7 in to 7.5 in. Find the work done in stretching the spring. How much work is done stretching the spring from 7.5 in to 9 in?
One of the downsides of how we learn math in high school is that many of us come to believe that if we cant solve a problem in ten or twenty minutes, then we cant solve it at all. There will be problems in this book that take hours of hard thought. Many of these problems were rst conceived and solved by professional mathematicians, and they spent days or weeks on them. How can you be expected to solve them at all then?
The average height of trees in a section of timber land is 45 feet. If there are between 22 and 35 trees ready for harvest on an acre, what is the approximate range of total feet of trees that can be harvested from an acre?