Use the Product Rule: x^ax^b = x^a + b
3x^-4 + 1 - 5 - 3(5x^-2x + 1)
Simplify -4 + 1 to -3
3x^-3 - 5 - 3(5x^-2x + 1)
Use the Product Rule: x^a x^b = x^a + b
3x^-3 - 5 - 3(5x^-2 + 1 + 1)
Simplify -2 + 1 to -1
<u>3x^-3 - 5 - 3(5x^-1 + 1)</u>
Answer:
The length of the kitchen is 2.23 meters.
Step-by-step explanation:
Given that a mouse has made holes in opposite corners of a rectangular kitchen, and the width of the kitchen is 2 meters and the distance between the mouse's holes is 3 meters, the following calculation must be performed to determine what is the length of the kitchen, using the Pythagorean theorem:
Width = 2 meters
Hypotenuse = 3 meters
2 ^ 2 + X ^ 2 = 3 ^ 3
4 + X ^ 2 = 9
X ^ 2 = 9 - 4
X = √ 5
X = 2.236
Therefore, the length of the kitchen is 2.23 meters.
Answer:
y=12x 12=k k=constant of Proportionality
Step-by-step explanation:
Answer:
1 pint (or 16 oz)
Step-by-step explanation:
1. convert the amout of pints into ounces (multiply 18 (pints) times 16 oz in a pint) 18 * 16 = 288 total ounces
2. determin how many ounces are used by students (multiply 68 (students) by 4 oz) 68 * 4 = 272 ounces uses
3. find the difference (subtract 288-272 = 16 oz left over)
16 oz = 1 pint
Step-by-step explanation:
-2j < -14
Divide both sides by -2:
j > 7. (D)