Answer:
The equation would be y = 3/2x + 3
Step-by-step explanation:
First we have to find the slope of the original line. We can do this by solving for y.
2x + 3y = 15
3y = -2x + 15
y = -2/3x + 5
Now that we have the slope of -2/3, we know the slope of the new line will be 3/2. This is because perpendicular lines have opposite and reciprocal slopes. We can use that and a point in point-slope form to find the equation.
y - y1 = m(x - x1)
y + 3 = 3/2(x + 4)
y + 3 = 3/2x + 6
y = 3/2x + 3
Answer:
The differential equation is ![\frac{dx(t)}{dt} = k x(t) [7000 - x(t)]](https://tex.z-dn.net/?f=%5Cfrac%7Bdx%28t%29%7D%7Bdt%7D%20%3D%20k%20%20%20x%28t%29%20%5B7000%20-%20x%28t%29%5D)
Step-by-step explanation:
From the question we are told that
The number of students are 
The number of student that have contracted the flu is x(t)
The number of student that don't have the flu is mathematically represented as
The rate at which the disease spread is proportional to the number of interactions between students with the flu and students who have not yet contracted it, which can be mathematically represented as
![\frac{dx(t)}{dt} \ \ \ \alpha\ \ \ x(t) [7000 - x(t)]](https://tex.z-dn.net/?f=%5Cfrac%7Bdx%28t%29%7D%7Bdt%7D%20%5C%20%5C%20%5C%20%5Calpha%5C%20%5C%20%5C%20%20%20x%28t%29%20%5B7000%20-%20x%28t%29%5D)
=>
Answer:
- D. The experimental data does not support Sally’s hypothesis.
Step-by-step explanation:
<u>Sally's hypothesis can be shown as:</u>
- 8c = 1p, where c- coil, p- paper clip
<u>From the data in the table we can see that:</u>
- 8c = 2p ⇒ 4c = 1p
- 16c = 4p ⇒ 4c = 1p
- 24c = 6p ⇒ 4c = 1p
As we see there is a difference, Sally can pick up one paper clip for each 4 coils.
Correct answer choice is D.
Answer:
1) 25%
2) $17.54
Step-by-step explanation:
1) The boots were reduced from $80 to $60, therefore the total amount they were reduced by in terms of money is $20. To find out what percentage $20 is of $80, you divide.
20/80 = 0.25
0.25 = 25 % (to change a decimal to a percentage, you multiply by 100)
2) 20% = 0.20 (to change a percentage to a decimal, you divide by 100)
To find 20% of $87.70, multiply 0.20 by 87.70.
87.70 x 0.20 = 17.54
Express 0.31 as a fraction and express 0.2 as a fraction
