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Tim, a third-grader, learns the sentence "george eats old gray rats and paints houses yellow" to help him remember the spelling of "geography." tim is using _____.



Tim, a third-grader, learns the sentence “george eats old gray rats and paints houses yellow” to help him remember the spelling of “geography.” tim is using _____.

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Pat needs to paint an 8 ft x 36 ft wall with a window opening of 3 ft x 4 ft. what is the area that she paints?



Pat needs to paint an 8 ft x 36 ft wall with a window opening of 3 ft x 4 ft. what is the area that she paints?

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Pat needs to paint an 8 ft x 36 ft rectangular wall. what is the area that she paints?


Remark: the fence is clearly 420 yards, not 420420.

check the picture

The 2 adjacent rectangles (corrals) form one larger rectangle.

as shown in the figure, let x be the length of the fences perpendicular to the river, then the length of the side opposite to the river will be 420- 2x (yard)

so we can write the following function, which calculates the area A enclosed by the fence, as a function of x.

A(x)=2x(420-2x)

clearly A is a quadratic function, its graph is a parabola. This parabola looks downwards because of the minus of the term -2x

from A(x)=2x(420-2x) we can find that the x intercepts of the parabola are:

one of the roots is x=0

and

420-2x=0,  
2x=420
x=210 is the other root.

The x coordinate of the vertex is the midpoint of (0, 210), that is 210/2=105

f(105)=2*105(420-2*105)=210*(420-210=2110*210=44,100 square yard.

the highest point of the parabola is the largest value the function takes, so the maximal area of the fence.

Answer: max area= 44,100 square yard.

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Ming needs 1/2 pint of red paint for an art project.he has 6 jars that have the following amounts of red paint in them.he wants to use only 1 jar of paint .Mark all of the jars of paints that Ming could use. A, 2/3 pint B, 1/4 pint C,4/6 pint D,3/4 pint E,3/8 pint F,2/6 pint


Answer:

Statement A is correct about Sam’s box and whisker plot.

Step-by-step explanation:

We have been given a box plot and we are asked to find out true statement according to the box plot.

Since we know data represented by box plot is divided in four equal parts.

Upon looking at our box plot we can see that our data is symmetric. It’s median is 15, which means half the math assignments have less than 15 problems and half of the math assignments have more than 15 problems.

Interquartile range represents 50% values of data and it is the difference between upper quartile and lower quartile. IQR is not affected by outliers.

IQR=Q_3-Q_1

Upon substituting given values from box plot we get,

IQR=19-11=8

From IQR we can conclude that half of the assignments contained 15 problems or fewer.Therefore, option A is the correct choice.