Answer:

Step-by-step explanation:
Step One: Convert
49/16x^2-2=-0.05x+4
Step Two: Multiply Both Sides by 80
245x^2-160=-4x+320
Step Three: Move everything to the left
245x^2+4x-480=0
Final Step: Quadratic Formula

Answer:
15° C.
Step-by-step explanation:
To do this, we will need to plug in and solve.
59 = 9/5c + 32
Isolate the variable by subtracting 32 by both sides:
27 = 9/5c.
Divide both sides by 9/5, giving you:
15° C.
Using the volume of the spherical balloon, it is found that it will take 24 hours for the balloon to become completely empty.
<h3>What is the volume of a sphere?</h3>
The volume of a sphere of radius r is given by:

Aspherical balloon has a radius of 6 feet, hence the volume is:

It has already lost 20% of it's air, and air is leaking out of the balloon at a rate of 30 cubic feet per minute, hence the volume after t minutes is given by:


It will be completely empty when:





Rounding, it will take 24 hours for the balloon to become completely empty.
More can be learned about the volume of a sphere at brainly.com/question/25608353
Answer:
(- 4, 3 )
Step-by-step explanation:
Under a counterclockwise rotation about the origin of 90°
a point (x, y ) → (- y, x ) , then
(3, 4 ) → (- 4, 3 )