Is 8/6 greater than or less than 11/12

Answers

Answer 1
Answer: (8)/(6)\ \ \ \ and\ \ \ \ (11)/(12)\ \ \ \ \ | make\ a\ common\ denominator\ 12\n\n(16)/(12)\ \ \ and\ \ \ \ (11)/(12)\n\nNow\ it\ is\ visible\ that\ (16)/(12) \ >\ (11)/(12)\ so\ (8)/(6) \ >\ (11)/(12)\
Answer 2
Answer: Greater because 8/6 is equal to a Whole number well more than a Whole number and 11/12 is less than aWhole number

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Can someone show me the steps to this equation. z- 4(2/3) = 2(2/3)
it read Z minus four and 2/3 equals two and two thirds just to clear confusion that the 2 and 4 are not being multiplied by 2/3

Answers

so z-4 2/3=2 2/3
so 4 2/3=12/3+2/3=14/3
2 2/3=6/3+2/3=8/3
z-14/3=8/3
multiply both sides by 3
3z-14=8
add 14 to both sides
3z=22
divide both sides by 3
z=22/3=7 1/3

z-4(2)/(3)=2(2)/(3)\ \ \ \ |add\ 4(2)/(3)\ to\ both\ sides\n\nz=2(2)/(3)+4(2)/(3)\n\nz=6(4)/(3)\n\n\boxed{z=7(1)/(3)}

In 1990 retail sales at bookstores were about $7.4 billion. In 1997 retail sales at bookstores were about $11.8 billion. Write a linear model for retail sales s (in billions of dollars) at bookstores from 1990 through 1997. Let T represent the number of year since 1990. Then estimate the retail sales at bookstores in 2012.

Answers

hopefully this helps you and gives you insight in how to solve the problems from now on (:

= $11.8 + (2012-1997)([$11.8-$7.4][1997-1990])

= $11.8 + 5 ($4.4/7)

= $11.8 4/5 + $22/7

= $59/5 + $22/7

= $413/35 + $110/35

= $523/35 or $14 33/35

answer : SALES IN 2012 WOULD BE $14 33/35 BILLION OR $14.9 3/7

Final answer:

A linear model representing retail sales at bookstores from 1990 through 1997 is s(T) = 0.63T + 7.4. The estimated sales at bookstores in 2012 would be approximately $21.46 billion.

Explanation:

To solve this problem, we need to create a linear model. A linear model is a mathematical representation expressed as y = mx + b, where m is the slope, and b is the y-intercept.

To determine the slope (m), we subtract the ending value of retail sales from the starting value and divide by the number of years. So, subtract $7.4 billion (sales in 1990) from $11.8 billion (sales in 1997) and divide by 7 (the number of years from 1990 to 1997): (11.8 - 7.4) / 7 = 0.63. So, m = 0.63.

The y-intercept (b) is the value of y when x = 0. In this model, this corresponds to the sales in 1990, because x is the number of years since 1990, and 'x = 0' therefore corresponds to the year 1990. So, b = $7.4 billion.

The final linear model for retail sales at bookstores from 1990 through 1997 is s(T) = 0.63T + 7.4.

To estimate the retail sales at bookstores in 2012, we plug T = 22 (because 2012 is 22 years after 1990) into our linear model: s(22) = 0.63*22 + 7.4$21.46 billion. So, the estimated retail sales in bookstores in 2012 were about $21.46 billion.

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Drag a digit into each box. Evaluate your expression.Try to find the result closest to 0.

Record the value of your expression

Answers

Answer:

The value of the expression is 2

Step-by-step explanation:

Find the complete question in the attachment.

From the attachment, we are to rearrange the numbers 1, 2, 3, 4, 5 and 6 into the boxes given and get a number closer to zero.

The expression will be in the format below:

a•xⁿ - b(c+d)

Taking a= 1, x = 2, n = 5, b = 3, c=4 d= 6

On substituting

= 1•2^5 - 3(4+6)

= 1•(32) - 3(10)

= 32-30

= 2

Since 2 is greater than 0, hence the arrangements will be first box takes 1, second takes 2, third box takes 5, fourth box takes 3, fifth box takes 4 and sixth box takes 6.

Final answer:

The question relates to evaluating mathematical expressions by dragging digits into the provided box. An example could be the expression 3 - [ ], where placing 3 in the box results in a zero value.

Explanation:

This question is pertaining to mathematical expressions and the dragging of the digits to evaluate the expression. To provide a specific example, consider the expression 3 - [ ]. You would need to drag the digit 3 into the box to make the expression 3 - 3 which equals 0. The value of your expression, in this case, would be 0, which is closest to 0. This procedure can be repeated with any other digits and mathematical expressions depending on the options provided to you.

Learn more about Evaluating Mathematical Expressions here:

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In two or more complete sentences, describe why the range of y = cos(x) is -1 ≤ y ≤ 1. Make sure to reference the unit circle in your description.

Answers

Answer:

The range of cos(x) is -1 to 1 (with brackets if in interval notation as -1 and 1 can be included) is because the radius of the unit circle is also 1. If the range went past -1 or 1, the unit circle could not define those values, and would turn up as error or undefined. Now, if you replace a in y = acos(x) + b, the range would be different because you amplified the equation and thus the range and radius.

Step-by-step explanation:

A boat costs $12,050 and decreases in value by 12% per year. How much will the boat be worth after 9 years?A $33,415.60
B $3,813.56
C $11,942.00
D $3,355.94

Answers

B $3,813.56 is the correct answer

1 year = $10,604
2 years = $9,331.52
3 years = $8,211.74
4 years = $7,226.33
5 years = $6,359.17
6 years = $5,596.07
7 years = $4,924.54
8 years = $4,333.60
9 years = $3,813.56









For this case we have the following expression:

y = A (b) ^ x

Where,

  • A: initial value
  • b: rate of change
  • x: number of years
  • y: future value

Therefore, replacing values we have:

y = 12050 * (0.88) ^ 9\ny = 3813.56

Answer:

The boat will be worth after 9 years about:

B $ 3,813.56

If x=2+√3,then find the value of x-1/x

Answers

A :-) x = 2+_/3
x-1/x = 1/2+_/3
( rationalize the denominator )
x-1/x = 1/2+_/3 x 2 -_/3/2 - _/3
[ ( a + b ) ( a - b ) = a^2 -b^2 ]
x-1/x = 2 - _/3/( 2 )^2 - ( _/3 )^2
x-1/x = 2 - _/3/4 - 3
x-1/x = 2 - _/3/1
x-1/x = 2 - _/3
x-1/x = ( 2+_/3 ) ( 2 - _/3 )
x -1/x = ( 2 )^2 - ( _/3 )^2
( x = 2+_/3 )
x-1/x = 4 - 3
x-1/x = 1

.:. The value of x-1/x is 1 .