Answer:
c=80
Step-by-step explanation:
Based on my reading the critical damping occurs when the discriminant of the quadratic characteristic equation is 0.
So let's see that characteristic equation:
20r^2+cr+80=0
The discriminant can be found by calculating b^2-4aC of ar^2+br+C=0.
a=20
b=c
C=80
c^2-4(20)(80)
We want this to be 0.
c^2-4(20)(80)=0
Simplify:
c^2-6400=0
Add 6400 on both sides:
c^2=6400
Take square root of both sides:
c=80 or c=-80
Based on further reading damping equations in form
ay′′+by′+Cy=0
should have positive coefficients with b also having the possibility of being zero.
Answer:
Let x be the unknown quantity of 50% silver.
Look at the silver concentrations... This will be 0.5x of actual silver,
Added to 5% silver in 500g or 0.05(500)g of actual silver
Totaling to (500+x)g of 20% silver which will have 0.2(500+x)g of silver
Your equation is:
0.5x + 0.05(500) = 0.2(500+x)
Solve for x to find the grams of 50% silver used
Step-by-step explanation:
sana maka tulong po sorry po kung mali
Answer:
8 family members. Average of 2.6 fish per person.
Step-by-step explanation:
How many family members caught fish? Count only those members who caught at least 1 fish (that's all of them, because nobody caught 0 fish!).
3 + 1 + 0 + 4 = 8 family members.
Average number of fish caught <u>per person</u>. This is the total number of fish caught divided by the total number of people.
This is a little bit tricky because, for example, 4 people caught 4 fish, making 4 x 4 = 16 fish caught.
Multiply number of fish (column 1) by the number of people (column 2):
1 x 3 + 2 x 1 + 3 x 0 + 4 x 4 = 3 + 2 + 0 + 16 = 21 fish caught.
21 fish. 8 people. On average, that is 21 / 8 = 2.625 which rounds to 2.6 fish per person.
Hint: the word "per" means <u>divide</u>, so "fish per person" tells you to divide the total number of fish by the total number of people.
Good Luck!
Answer:
y = 3x + 1
Step-by-step explanation:
If two lines are parallel to each other, they have the same slope.
The first line is Y = 3X - 5. Its slope is 3. A line parallel to this one will also have a slope of 3.
Plug this value (3) into your standard point-slope equation of y = mx + b.
y = 3x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (0, 1). Plug in the x and y values into the x and y of the standard equation.
1 = 3(0) + b
To find b, multiply the slope and the input of x (0)
1 = 0 + b
Now, add 0 to both sides to isolate b.
1 = b
Plug this into your standard equation.
y = 3x + 1
This equation is parallel to your given equation (y = 3x - 5) and contains point (0, 1)
Hope this helps!
Answer: Marta worked 13 hours overtime.
Step-by-step explanation:
1): You do 25 x 36 to get the amount of money she can make before she starts to make double.
36 x 25 = 900
2): Minus $900 from $1550
$1550 - $900 = $650
3): Divide $650 by $50
$650 / $50 = 13 hours worked overtime
