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Answer:
- 160 yd³ must be hauled
- $520 is the cost
Step-by-step explanation:
There are 3 feet in a yard, so the volume of the hole is ...
(45 ft)/(3 ft/yd) × (16 ft)/(3 ft/yd) × (6 ft)/(3 ft/yd)
= (15 × 16/3 × 2) yd³ = 160 yd³ . . . volume to be hauled
__
The cost is $13/(4 yd³), so the total cost will be ...
($13/(4 yd³)) × 160 yd³ = $520 . . . cost of hauling
Answer:

Step-by-step explanation:
Given:
The magnitude, v=12
The angle
it makes with the positive x-axis =
Now for a vector (x,y)
; and
Therefore:


Similarly:


Recall that:

Therefore: 
The vector in the form ai+bj is therefore:

Answer:
At the positive integer value of x=7 the quadratic function begin to exceed the linear function
Step-by-step explanation:
we have
using a graphing tool
see the attached figure
For x < -1.405 and x > 6.405 the quadratic function begin to exceed the linear function
so
At the positive integer value of x=7 the quadratic function begin to exceed the linear function
Step-by-step explanation:
“Line graphs are useful in that they show data variables and trends very clearly and can help to make predictions about the results of data not yet recorded. They can also be used to display several dependent variables against one independent variable.”
“With a line graph, it is fairly easy to make predictions because line graphs show changes over a period of time. You can look at past performance in a line graph and make a prediction about future performance.”