What is the radius of a circle with an area of 32.1 square feet?

Answers

Answer 1
Answer: So we want to know the radius of the circle that has area A=32.1 ft^2. The formula for the area of a circle is A=pi*r^2. So to get the radius we must first divide both sides by pi and then take the square root. So, r^2=A/pi=10.2229 and the square root is= r= sqrt 10.2229 = 3.197 ft

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Isaiah determined that 5a^2 is the GCF of the polynomial a^3 - 25a^2b^5 - 35b^4. Is he correct? Explain

Answers

The answer is no, he did not arrive with the correct answer. With Isaiah claiming that 5a^2 is the GCF of the polynomial a^3 - 25a^2b^5 - 35b^4, he is incorrect because the constant '5' does not apply to the first factor of the equation which is 'a^3'. 

Answer:

No, Isiah is not correct. The GCF of the coefficients is 1, and there are no common variables among all three terms of the polynomial. 5b4 is a factor of -25a2b5 and -35b4, but not a3. Additionally, a2 is a factor of a3 and -25a2b5, but not -35b4.

Consider the graph of f(x) = 2x 3 – 3x 2 – 14x. On a coordinate plane, a graph increases through (negative 2, 0) to (negative 1, 10), decreases through (0, 0) to (2, negative 24), and then increases through (3.5, 0) through (4, 20). Based on the graph, what is the solution to 2x 3 – 3x 2 ≥ 14x?

Answers

Answer:

Answer D

Step-by-step explanation:

Final answer:

The solution to the inequality 2x³ – 3x² – 14x ≥ 0, as indicated by the graph provided, is given by the intervals of x where the function is increasing. Therefore, the solution is comprised of the intervals [-2, -1] and [3.5, ∞].

Explanation:

The solution to 2x³ – 3x² ≥ 14x can be found by solving the inequality. First, let's rearrange the inequality to: 2x³ – 3x² – 14x ≥ 0. This equation represents where the function is positive (above the x-axis) on the graph. Therefore, we must identify the intervals of x where the function increases or decreases.

Based on the description of the graph, the function increases in the intervals (-2, -1) and (3.5, ∞) and decreases in the interval (-1, 3.5). So, the solution to the inequality would be the union of the intervals where the function increases: [-2, -1] U [3.5, ∞].

Learn more about Inequalities here:

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How is the weight moving between X=6 and X=7.5?

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Have you looked at the graph ? ?

The weight is at the rest position of the spring and moving upward
when x=6.

During the next 1.5 seconds, it moves up to the upward limit (the
'amplitude' of the oscillation) and then back down to the rest position. 

When x=7.5, the weight is back at the spring's rest position, and moving
downward.
It would be moving 1.5 unp and down because the volume constant 

What is the missing value in the equation

2 3/12+3\? =2 5/8

Answers

 2 3/12 +3/x = 2 5/8

simplify to

9x+12/4x = 21/8

Cross multiply

(9x+12)/(4x) = 21/8

(9x+12)*(8) = 21*4x

72x+96 = 84x

Subtract 84 x from both side

72x+96 - 84x = 84x -84x

-12x+96 = 0

Subtract 96 from both sides

-12x+96-96 = 0-96

-12x = -96

Divide both sides by 12

-12x/-12 = -96/-12

x = 8

The missing value is 8


How can i solve this
f:d->R
f(x)=x at power2/x-1

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x - 1 is not null => x is not 1 => D = R - {1};

(x,7) and (11,8); m= -1/5

Answers

Answer:

x=16

Step-by-step explanation: