10. Kim gets $7 per hour and gets charged $1 for gloves
Use y to represent her pay and x to represent hours worked.
The equation is y = 7x - 1 because she gets 7 times x hours and there is a minus 1 because of the charge of gloves.
11. The table shows that each increasing hour, 8$ is added. Therefore we need to find the bonus that Kit receives just for showing up. This is when hours equals 0. If 3 hours is 27$ pay, then 2 hours is 19$ pay, 1 hour is 11$ pay and 0 hours is 3$ pay. We find that there is a 3$ bonus just for showing up.
Therefore the equation is y = 8x + 3
12. At x = 0, y = 2 so the y-intercept is 2. The slope is going down 4 and right one which means the slope is -4. The y-intercept is b and the slope is m. If we plug these values into the equation y = mx + b we get:
y = -4x + 2
13. At x = 0, y = -3 so the y-intercept is -3. The slope is going up 1 and right 4 which means the slope is 1/4. The y-intercept is b and the slope is m. If we plug these values into the equation y = mx + b we get:
y = 1/4 x - 3
Answer:
the rate at which the height of the box is decreasing is -0.0593 cm/s
Step-by-step explanation:
Given the data in the question;
Constant Volume of a rectangular box with a square base = 500 cm³
area of the base increases at a rate of 6 cm²/sec
so change in the area of the base with respect to time dA/dt = 6 cm²/sec
each side of the base is 15 cm long
so Area of the base = 15 cm × 15 cm = 225 cm²
the rate at which the height of the box is decreasing = ?
Now,
V = Ah
dv/dt = 0 ⇒ Adh/dt + hdA/DT = 0
⇒ dh/dt = -hdA/dt / A
we substitute
dh/dt = [ -( 500 / 225 ) × 6 ] / 225
dh/dt = [ -(2.22222 × 6) ] / 225
dh/dt = [ -13.3333 ] / 225
dh/dt = -0.0593 cm/s
Therefore, the rate at which the height of the box is decreasing is -0.0593 cm/s
The odds are one in three hundred twelve.
=1/312
Answer:
I think it's A
Step-by-step explanation:
