The temperature during a winter day was less than –3 degrees Fahrenheit. Yuri wants to write an inequality for the temperature d
2 answers:
You might be interested in
Part a: The radius of the second sphere is 5 inches.
Part b: The volume of the second sphere is 523.33 in³
Part c; The radius of the third sphere is 1.875 inches.
Part d: The volume of the third sphere is 27.59 in³
Explanation:
Given that the radius of the sphere is 2.5 inches.
Part a: We need to determine the radius of the second sphere.
Given that the second sphere has twice the radius of the given sphere.
Radius of the second sphere = 2 × 2.5 = 5 inches
Thus, the radius of the second sphere is 5 inches.
Part b: we need to determine the volume of the second sphere.
The formula to find the volume of the sphere is given by
Substituting and
, we get,
Rounding off to two decimal places, we have,
Thus, the volume of the second sphere is 523.33 in³
Part c: We need to determine the radius of the third sphere
Given that the third sphere has a diameter that is three-fourths of the diameter of the given sphere.
Hence, we have,
Diameter of the third sphere =
Radius of the third sphere =
Thus, the radius of the third sphere is 1.875 inches
Part d: We need to determine the volume of the third sphere
The formula to find the volume of the sphere is given by
Substituting and
, we get,
Rounding off to two decimal places, we have,
Thus, the volume of the third sphere is 27.59 in³
Answer:
y = 3x + 7
Step-by-step explanation:
First, we will solve for the slope (m).
The formula for slope is: m =
m = --- enter the points into the formula
m = --- simplify
m = 3 --- simplify
Now we will solve for the y-intercept (b).
y = mx + b
y = 3x + b --- substitute the slope into the equation
-20 = 3(-9) + b --- substitute the x and y of either point into the equation
-20 = -27 + b --- simplify
7 = b --- add 27 to both sides
b = 7
Done.
y = 3x + 7