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victus00 [196]
2 years ago
10

Find the radius of this sphere. Then, calculate the volume of a sphere.

Mathematics
1 answer:
Gelneren [198K]2 years ago
8 0

if its diameter is 12, then its radius is half that or 6.

\textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=6 \end{cases}\implies V=\cfrac{4\pi (6)^3}{3}\implies V=\cfrac{4}{3}\cdot \pi \cdot 6^3 \\\\\\ V=\cfrac{864}{3}\cdot \pi \implies V=\cfrac{864}{3}\cdot 3.14\implies V\approx 904.32~cm^3

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The diameter of a circle measures 20 yd. What is the circumference of the circle?
Pani-rosa [81]

Answer: 62.8 yd

Step-by-step explanation:

Circumference= diameter*pi

20*3.14= 62.8

5 0
3 years ago
Find the derivative of f(x) = (1 + 6x2)(x − x2) in two ways.
ipn [44]
Using product rule;

f(x)=(1+6x²)(x-x²)

f'(x)=(12x)(x-x²) + (1-2x)(1+6x²) = 12x² -12x³ +1 +6x² -2x -12x³ = -24x³ +18x² -2x +1

Solving the bracket first;

f(x)=(1+6x²)(x-x²) = x -x² +6x³ -6x^4

f'(x)= 1 -2x +18x² -24x³ = -24x³ +18x² -2x +1

3 0
3 years ago
Please help with math
densk [106]

Answer:

The triangular prism is a better deal because you get 204 in³ for the same price you would pay for 128 in³ with a trapezoidal prism.

Step-by-step explanation:

The trapezoidal prism has volume 32*4=128 cubic inches. The triangular prism has volume 34*6=204 inches. Since the triangular prism is more voluminous, it is the better deal. Hope this helps!

3 0
3 years ago
Read 2 more answers
17 minutes left to answer
fomenos

9514 1404 393

Answer:

  can't be factored

Step-by-step explanation:

The two terms of 11t -23 have no common factors. Both of the coefficients are prime numbers, and the variable appears in only one of the terms. The expression ...

  cannot be factored

7 0
3 years ago
How do you solve 2x^2 - 7x -5= 0 in quadratic form?
lesantik [10]

Answer:

Once the equation is in standard form, factor the quadratic expression. 2x2 + 7x + 3 = 0 (2x + 1)(x + 3) = 0. Using the Zero Product Property set ...

2x2 + 7x = -3

2x2 + 7x + 3 = 0

Once the equation is in standard form, factor the quadratic expression.

2x2 + 7x + 3 = 0

(2x + 1)(x + 3) = 0

Using the Zero Product Property set each factor equal to 0 and solve for x.

2x + 1 = 0  

2x + 1 - 1 = 0 - 1 x + 3 = 0

2x = -1 x + 3 - 3 = 0 - 3

2x 2 = -1 2 x = -3

x = -1 2  

The solutions to the equation are -1 2 and -3.

7 0
3 years ago
Read 2 more answers
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