David's company reimburses his expenses on food, lodging, and conveyance during business trips. The company pays $60 a day for food and lodging and $0.65 for each mile traveled. David drove 600 miles and was reimbursed $3,390.Part A: Create an equation that will determine the number of days x on the trip (3 points)Part B: Solve this equation justifying each step with an algebraic property of equality. (6 points)Part C: How many days did David spend on this trip? (1 points)
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Each day for x ($60 food and lodgings).
Miles for y (600 miles)
3390=60x+0.65y
3390=60x+.65(600)
Equation: 3390=60x+390
Subtract 390 from both sides.
3000=60x
Divide 60 on both sides.
50=x
3390=60x+390
3390=60(50)+390
3390=3000+390
3390=3390
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The opposite of the opposite of -5 is....
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You haven't asked for the trigonometric expression, but here it is anyway:
The cosine function is the reciprocal of the secant function.
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Answer:
C) Square, Rhombus and Kite
Step-by-step explanation:
These are due to the fact that the square has all its equal sides and is 4 sides, so its diagonals will always be perpendicular.
The rhombus also has all its equal sides and are 4 sides so its diagonals will always be perpendicular.
The kite does not have its four equal sides, but its vertices are constructed from its diagonals that cross perpendicularly, so it also meets the perpendicular diagonals
The quadrilaterals have perpendicular diagonals are:
C) Square, Rhombus and Kite.
Here, we have,
These are due to the fact that the square has all its equal sides and is 4 sides, so its diagonals will always be perpendicular.
The rhombus also has all its equal sides and are 4 sides so its diagonals will always be perpendicular.
The kite does not have its four equal sides, but its vertices are constructed from its diagonals that cross perpendicularly, so it also meets the perpendicular diagonals.
Diagonals are the part of a shape, in geometry.
In Mathematics , a diagonal is a line that connects two vertices of a polygon or a solid, whose vertices are not on the same edge. in general, a diagonal is defined as a sloping line or the slant line , that connects to the vertices of a shape. diagonals are defined as lateral shapes that have sides/ edges and corners.
Kite
Rhombus
Square
Hence, The quadrilaterals have perpendicular diagonals are:
C) Square, Rhombus and Kite.
To know more about diagonals
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Given:
To find:
The arithmetic sequence using a Recursive Formula.
Solution:
We have,
...(i)
The explicit formula of an AP is
...(ii)
where, a₁ is first term and d is common difference.
From (i) and (ii), we get
Now, the recursive formula of an AP is
Putting d=2, we get
Therefore, the arithmetic sequence using a Recursive Formula is defined as , where n>2 and
.
Final answer:
The arithmetic sequence given by the recursive formula is an = -5 + 2(n - 1). Each term in the sequence can be found by substituting the corresponding value of n into the formula.
Explanation:
An arithmetic sequence is a sequence of numbers in which the difference between two consecutive terms is constant. In this case, the recursive formula for the arithmetic sequence is given as an = -5 + 2(n - 1).
To find any term in the sequence, substitute the value of n into the formula. For example, to find the first term (a1), plug-in n = 1. The formula becomes a1 = -5 + 2(1 - 1) which simplifies to a1 = -5.
Similarly, to find the second term (a2), plug-in n = 2. The formula becomes a2 = -5 + 2(2 - 1) which simplifies to a2 = -3. Continuing this pattern, each term in the sequence can be found by substituting the corresponding value of n into the formula.
Learn more about Arithmetic Sequence here:
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A-The slope is approximately 3 and the y-intercept is 2.
B-The slope is approximately 1.33 and the y-intercept is 2.
C-The slope is approximately 2 and the y-intercept is 3.
DThe slope is approximately 2 and the y-intercept is 1.33.
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Answer:
C
Step-by-step explanation:
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Answer:
Do the math. it is 44
Step-by-step explanation:
do the math and find out how