2(x4) = 35 - (7-4x)
+4x
2(x8)= 28
/2 /2
8x = 14
The equation in spherical coordinates will be a constant, as we are describing a spherical shell.
r(φ, θ) = 8 units.
<h3>
How to rewrite the equation in spherical coordinates?</h3>
The equation:
x^2 + y^2 + z^2 = R^2
Defines a sphere of radius R.
Then the equation:
x^2 + y^2 + z^2 = 64
Defines a sphere of radius √64 = 8.
Then we will have that the radius is a constant for any given angle, then we can write r, the radius, as a constant function of θ and φ, the equation will be:
r(φ, θ) = 8 units.
If you want to learn more about spheres, you can read:
brainly.com/question/10171109
9514 1404 393
Answer:
4. A, B, C, and D
Step-by-step explanation:
Each right triangle has a short leg of 3 units and a long leg of 4 units. They are all congruent by the SAS congruence postulate.
Answer:
- Mar 18: 125
- Mar 19: 318
- Mar 20: 743
- Mar 25: 15,070
Step-by-step explanation:
The six seemingly arbitrary points have no common difference or ratio, so cannot be modeled by a linear or exponential function.
The differences of the differences are not constant at any level, so the only polynomial model is 5th-degree. It is ...
(6n^5 -95n^4 +600n^3 -1825n^2 +2814n -1320)/60
where n = days after Mar 11. (Mar 12 corresponds to n=1.) The domain is n ≥ 1.
____
The 5th-degree polynomial increases very fast, but not as fast as an exponential function would.
The values for Mar 12 through Mar 25 are ...
3, 8, 11, 16, 25, 50, 125, 318, 743, 1572, 3047, 5492, 9325, 15070
Answer: -119, -120, and -121
Step-by-step explanation: This problem states that the sum of three consecutive integers is -354 and it asks us to find the integers. Three consecutive integers can be represented as followed.
X ⇒ <em>first integer</em>
X + 1 ⇒ <em>second integer</em>
X + 2 ⇒<em> third integer</em>
<em />
Since the sum of our three consecutive integers is -354, we can set up an equation to represent this.
X + X + 1 + X + 2 = -354
Now, we can simplify on the left side of the equation.
3x + 3 = -354
-3 -3 ← subtract 3 on both sides of the equation
3x = -357
÷3 ÷3 ← divide both sides by 3
X = -119
X ⇒ <em>first integer = </em><em>-119</em>
X + 1 ⇒ <em>second integer = </em><em>-120</em>
X + 2 ⇒<em> third integer = </em><em>-121</em>
<em />
Therefore, our three consecutive integers are -119, -120, and -121.