Answer:
The radius, r₂, of the ball that uses one-half the amount of rubber coating used to cover the 16-inch ball is approximately 4.66 inches
Step-by-step explanation:
The dimension of the ball with known radius = 16-inch
The surface area of the ball with 16-inch radius = 4×π×r² = π·D² = π×16² = 804.24772 in.²
Given that the ball uses one-half the rubber material coating used to cover the 16-inch ball, we have the surface area of the ball = 804.24772 in.²/2 = 402.12386 in.²
The radius, r₂ of the new ball is found as follows;
402.12386 in.² = 4×π×r₂²
r₂² = 402.12386 in.² /(4×π) ≈ 32
r₂ = √32 = 4·√2 ≈ 4.66 inches
The radius, r₂, of the ball that uses one-half the amount of rubber coating used to cover the 16-inch ball ≈ 4.66 inches.
Answer:
A, C
Step-by-step explanation:
Chow,...!
Answer:
1⅓x + y = 9
Step-by-step explanation:
Convert the Standard Form of the given line to Slope-Intercept Form:
- -4y = -3x + 2 [Move -3x to the right side of the equivalence symbol]
- y = ¾x - ½ [Divide everything by -4]
Then, after getting your equation, take the OPPOSITE MULTIPLICATIVE INVERSE of ¾ [perpendicular lines have OPPOSITE MULTIPLICATIVE INVERSE <em>Rate</em><em> </em><em>of</em><em> </em><em>Changes</em><em> </em>(<em>SLOPES</em>)], which is -1⅓ [or -4⁄3]. After getting your slope, you can perform the action with your given ordered pair to find your y-intercept:
1 = -1⅓[6] + b
-8
9 = b
Now that you have your y-intercept, this is your new equation in <em>Slope-Intercept Form</em>:
y = -1⅓x + 9
We are not done just yet. The final step is to convert the Slope-Intercept Form of the line to Standard Form, and here is how it is done:
y = -1⅓x + 9
+1⅓x +1⅓x
--------------
1⅓x + y = 9 → Final equation
If you are ever in need of assistance, do not hesitate to let me know by subscribing to my channel You-Tube channel [USERNAME: MATHEMATICS WIZARD], and as always, I am joyous to assist anyone at any time.
**On my channel, I have a video that pretty much explains how to something like this. It is the longest video on there. You should be capable of finding it in a jip!
Answer: What is the question?
Step-by-step explanation:
What is the question?
Answer: C) (1,4)
Step-by-step explanation:
<em>The intersection point is where f(x) = g(x)</em>
x³ + 3x = x² + 3
x³ - x² +3x - 3 = 0
- A. (0, 0) → x = 0 → (0)³ - (0)² +3(0) - 3 = -3 ≠ 0
- B. (0, 3) → x = 0 → (0)³ - (0)² +3(0) - 3 = -3 ≠ 0
- <u>C. (1, 4) → x = 1 → (1)³ - (1)² +3(1) - 3 = 0 + 0 = 0</u>
- D. (-1, 4) → x = -1 → (-1)³ - (-1)² +3(-1) - 3 = 0 - 3 - 3 = -6 ≠ 0
