On a number line, what is the distance between -17 and 9 ? show your work a -26 b -8 c 8 d 26
2 answers:
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Answer:
1.9cm
Step-by-step explanation:
The density d of a material is related to its mass m and volume V as follows;
d = ------------------(i)
The material in question here is the lead ball.
Now, from known experiment;
the density of lead is <em>11.34g/cm³</em>
From the question, the weight/mass of the lead ball is <em>326g</em>
Substitute these values into equation (i) as follows;
11.34 =
V =
V = 28.75cm³
Now, since the ball is of course spherical, we can get the radius by using the following relation from the volume of a sphere;
V = [V = volume, r = radius]
V = 28.75cm³
=> 28.75 =
=> 3 x 28.75 = 4 π r³
=> 86.25 = 4 π r³
=> 21.5625 = π r³ [Take π = 3.142]
=> 21.5625 = (3.142) r³ [divide both sides by 3.142]
=> 6.86 = r³ [Take the cube root of both sides]
=> ∛6.86 = ∛r³
=> 1.90 = r
Therefore, the radius is 1.9cm to the nearest tenth
General Idea:
The exponential function will be of the form.
When b>1, the function indicates the exponential growth.
When 0<b<1, the function indicates the exponential decay.
Applying the concept:
We are given the graph of , here b = 2.
The question ask the characteristic of the function when b is in the interval . The attached figure shows few graphs of exponential function whose b value is less than 2 and greater than 1. We can notice that graph increases at slower rate, that is change in y with respect to change in x is getting slower as we reduce the values of b less than 2 and greater than 1.
Conclusion:
"The graph will increase at a slower rate"
