Answer:
a) C(d) = 37.95 + 0.62d
b) C(74) = 37.95 + 0.62(74)
83.8 dollars
c) 8181 miles
Step-by-step explanation:
The company charges a fee of 37.95 just for the rent and then 0.62 dollars per mile.
So if one person travels one mile they will pay:
37.95 + 0.62
Two miles: 37.95 + 0.62 (2)
Three miles: 37.95 + 0.62 (3)
d miles: 37.95 + 0.62(d)
Thus, the function C(d) that gives the total cost of renting the truck for one day if you drive d miles would be C(d) = 37.95 + 0.62d
Now, if we drive 74 miles, the function that gives us the cost would be:
C(74) = 37.95 + 0.62(74) = 37.95 + 45.88 = 83.83 = 83.8 dollars
Now, if we have 5110 dollars on our budget, we would have to substitute this in our function to know how many miles we can drive with that amount:
Thus, we could drive 8181 miles
The values of x and y is x = 2 1/4, y = 6.
We can write the corresponding dimensions:
Larger: smaller
Heigh: 8 : y
Width: 12 : 9
Depth: 3 : x
Since the figures are similar, corresponding values are proportional. This means
y/8 = 9/12
y = 8(9/12)
y = 6
x/3 = 9/12
x = 3(9/12) = 9/4
x = 2 1/4
What is a rectangular prism?
A rectangular prism is a solid figure where all it's sides are rectangles and all sides meet perpendicular
A rectangular prism is a prism composed of 2 rectangular bases and 3 rectangular sides , rectangular prism is a polyhedron with 2 congruent and parallel bases. All cross-sections parallel to the base faces are same as the rectangle. Rectangular prism is just like cuboid.
Learn more about rectangular prisms here: https://brainly.in/question/151529
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Answer:
The following would be best modeled by an exponential decay function
A.) An island is being eroded away and loses 10% of its beachfront every year.
D.) A machine depreciates (loses value) by $1000 in its first year, by $2000 in its second, $3000 in its third, etc.
Step-by-step explanation:
The following would be best modeled by an exponential decay function
A.) An island is being eroded away and loses 10% of its beachfront every year.
D.) A machine depreciates (loses value) by $1000 in its first year, by $2000 in its second, $3000 in its third, etc.
Paragraph Style Proof:
Angle A = Angle T is given to you. This is one pair of angles that will be used later on. Another pair of angles that are congruent is the pair angle AXM = angle TXH which are vertical angles. So far we have two pairs of angles that are congruent.
A pair of sides that are congruent is MA = HT which is the second piece of given information. Using the two pairs of angles, along with the pair of sides, we can use the AAS congruence theorem. The order is important. Notice how S is not between the two A's. So the sides are not between the two angles mentioned. If we were to use ASA, then we would need to know if AX = XT were true or not.
side note: SAA is the same as AAS. Again the S is not between the two A's.
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Two Column Table Proof:
See the attached image below
ANSWER
The graph in option D.
EXPLANATION
The given function is:
We complete the square to obtain:
The graph of this function opens upwards and has its vertex at (2,-2).
The y-intercept is 10.
From the options the graph that satisfies all these properties is D.