The answer is <span>B. |w – 48| ≤ 8.
w - the weight of the box
</span>The weight of the box must be within 8 pounds: w ≤ 8
The weight of the box must be within 8 pounds of a standard lifting weight of <u>48 pounds</u>: <span>|w – 48| ≤ 8</span>
Although you didn’t list any equations, here is the correct one:
15 + 5x = 25
1.5 twice a day makes it so it’s 3 miles total. Thus, you need to multiply that by 5 to get the total amount in one week.
x will solve for each evening per day.
Hope this helps!
Answer:
6/(49π) ≈ 0.03898 m/min
Step-by-step explanation:
V = πr²h . . . . formula for the volume of a cylinder
dV/dt = πr²·dh/dt . . . . differentiate to find rate of change
Solving for dh/dt and filling in the numbers, we have ...
dh/dt = (dV/dt)/(πr²) = (6 m³/min)/(π(7 m)²) = 6/(49π) m/min
dh/dt ≈ 0.03898 m/min
The function represents the profit, and the company obviously wants to maximize it.
You can see that the profit increases until the parabola reaches its maximum.
The coordinate of the maximum look like (1.5, 90)
This means that, if the company invests 1.5 thousand dollars, the profit will be 90 thousand dollars, and this is the maximum profit the company can reach.
Step-by-step explanation:
the angle CDB is the supplementary angle to 9x+10 (angle ADC).
that means they stand together for 180°. as all angles around a single point on one side of a line are together always 180°.
and then, the sum of all angles in a triangle is always 180°.
so,
CDB + (4x + 10) + 50 = 180
CDB = 180 - (9x + 10) = 180 - 9x - 19 = 170 - 9x
therefore,
(170 - 9x) + (4x + 10) + 50 = 180
170 - 9x + 4x + 10 + 50 = 180
-5x = -50
5x = 50
x = 10
angle CDB = 170 - 9x = 170 - 90 = 80°
