For numbers 9 and 10, we are dealing with negative exponents.
The rule of exponents states that any quantity b, taken to the power -n, equals the reciprocal of b, taken to the nth power.
Example: x⁻³ = 1 / x³
Number 9: ( 3 / y² ) ⁻³
Step 1: take the reciprocal:
( 3 / y² ) ⁻³ = ( y² / 3 ) ³
Step 2: distribute the exponent
( y² / 3 ) ³ = y⁶ / 27
Try to do number 10 on your own. If you have any questions, comment.
Answer:
44.4 units
Step-by-step explanation:
Recall: 2 tangents drawn from an external point from a circle are congruent
Perimeter of the quadrilateral = AB + BC + CD + AD
AB = 3.1 + 8 = 11.1
BC = 3.1 + 8 = 11.1
CD = 11.1 (given)
AD = 8 + 3.1 = 11.1
Perimeter = 11.1 + 11.1 + 11.1 + 11.1
= 44.4 units
Answer:
algebra?x9b4
Step-by-step explanation:
English translation:
If the quality control manager wants to estimate the average life of lamps with 20 hours, with a confidence level of 95% and an error of 10% is assumed. What is the sample size?
Answer:
240 m
Step-by-step explanation:
To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.
Length: 12 m
Width: 5 m
Height: 4 m
