Answer:
Rate of change = 4,06 f/min
Step-by-step explanation:
The ascendent length 28 9/10 = 289/ 10
The time for that ascendent maneuver is total time 17 1/8 minutes - spended time in the elevation 10 minutes, then
17 1/8 = 137/8
137/8 - 10 = ( 137 - 80 ) /8 = 57/8 minutes
The rate of change in the diver´s elevation is
289 / 10 / 57/8
Rate of change = 289*8/ 57*10
Rate of change = 2312 / 570 ft/min
Rate of change = 4,06 f/min
First add the seconds you have 45 +5+10 seconds which equals 60 seconds or 1 minutes. Now add the minutes 9 + 7 + 12 minutes = 28 minutes then add that 1 minutes that you got from the seconds 28 + 1 minute = 29 minutes 7:40 + 20 minutes = 8:00 + 9 minutes = 8:09 am. So Marsha arrived to school at 8:09 am. Comment if you have any questions.
Answer:
x = 1 + i sqrt(7/2) or x = 1 - i sqrt(7/2)
Step-by-step explanation:
Solve for x:
2 x^2 - 4 x + 9 = 0
Divide both sides by 2:
x^2 - 2 x + 9/2 = 0
Subtract 9/2 from both sides:
x^2 - 2 x = -9/2
Add 1 to both sides:
x^2 - 2 x + 1 = -7/2
Write the left hand side as a square:
(x - 1)^2 = -7/2
Take the square root of both sides:
x - 1 = i sqrt(7/2) or x - 1 = -i sqrt(7/2)
Add 1 to both sides:
x = 1 + i sqrt(7/2) or x - 1 = -i sqrt(7/2)
Add 1 to both sides:
Answer: x = 1 + i sqrt(7/2) or x = 1 - i sqrt(7/2)
Answer:
if you're trying to find the discriminant, then it's 181.
Step-by-step explanation:
The equivalent expression for the expression (-5cd-4)(2cd²)² is - 20c³d⁵ - 16c²d⁴.
A finite combination of symbols that are well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression. Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Consider the expression,
(-5cd - 4)( 2cd²)²
Now let x = (-5cd - 4)( 2cd²)²,
Then,
x = (-5cd - 4)( 2cd²)²
x = ( - 5cd -4 ) × (2c)² × (d²)²
x = ( - 5cd - 4) × ( 4c² ) × d⁴
x = ( -5cd - 4 ) × 4c²d⁴
Using the distributive property,
x = ( - 5cd ) × ( 4c²d⁴ ) - 4 × 4c²d⁴
x = - 20 × c³ × d⁵ - 16 × c²d⁴
x = - 20c³d⁵ - 16c²d⁴
Therefore, the equivalent expression of (-5cd-4)(2cd²)² is - 20c³d⁵ - 16c²d⁴.
Learn more about equivalent expression here:
brainly.com/question/14507158
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