We know that the graph of g(x) is the result of a shift of 2 units down from f(x).
Then, f(x) and g(x) are related by:
Taking the derivative:
This is because the derivative of a constant number is 0. Finally, evaluating at x = 2:
A tree casts a shadow 36 ft long. At the same time, the shadow cast by a vertical 8-ft post is 12 ft long. Find the height of
1 answer:
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Crystal has 121 compact discs. The total number of boxes required are 5.
<u>Solution:</u>
Given, Crystal has 121 compact discs that she wants to put into boxes.
Each of the boxes that she brought home holds 25 discs.
We have to find how many of these boxes will she need for all of her discs?
Now, we know that, number of boxes required
Here we took 5 because 0.84 means that box with discs less than 25 still we require a box.
Hence, the total number of boxes required are 5.
Part 1) <span>Create a diagram that shows Kamila’s rectangular lawn and the gravel border. Assign variables to any unknown sides and label the diagram
see the attached figure
Part 2)</span><span>Use your diagram to determine how many square feet of the gravel border will surround the lawn
area of the border=[162*92]-[150*80]----> 14904-12000-----> 2904 ft</span>²
Part 3) <span>Kamila decided that the depth of the gravel needs to be 2 inches. What is the total volume of gravel needed for the border?
we know that
1 ft-------> 12 in
x--------> 2 in
x=2/12------> x=0.17 ft
volume of gravel needed=area of the border*deep of the gravel
</span>volume of gravel needed=2904*0.17----> 493.68 ft³
<span>
Part 4)</span><span>A large bag of colored rock contains a cubic yard and costs $30. What is the total cost of the rocks needed for the border?
</span>
1 yd³--------> 27 ft³
x---------> 493.68 ft³
x=493.68/27-----> 18.28 yd³
if 1 yd³----------> cost $30
18.28 yd³------> x
x=18.28*30------> x=$548.53
the answer Part 4) is
$548.53
see the attached figure
Part 2)</span><span>Use your diagram to determine how many square feet of the gravel border will surround the lawn
area of the border=[162*92]-[150*80]----> 14904-12000-----> 2904 ft</span>²
Part 3) <span>Kamila decided that the depth of the gravel needs to be 2 inches. What is the total volume of gravel needed for the border?
we know that
1 ft-------> 12 in
x--------> 2 in
x=2/12------> x=0.17 ft
volume of gravel needed=area of the border*deep of the gravel
</span>volume of gravel needed=2904*0.17----> 493.68 ft³
<span>
Part 4)</span><span>A large bag of colored rock contains a cubic yard and costs $30. What is the total cost of the rocks needed for the border?
</span>
1 yd³--------> 27 ft³
x---------> 493.68 ft³
x=493.68/27-----> 18.28 yd³
if 1 yd³----------> cost $30
18.28 yd³------> x
x=18.28*30------> x=$548.53
the answer Part 4) is
$548.53