Answer:
When the cab travels 0 miles, the total fee will be $10.00.
Step-by-step explanation:
We Know
2 miles = $13.00
5 miles = $17.50
3 miles = 17.50 - 13.00 = $4.50
1 mile = 4.50 / 3 = $1.50
So, for every 1-mile go, the cost is increasing by $1.50; this is the slope.
What does the y-intercept mean in this situation?
It is the total fee that Tyrell pays when the cab goes 0 miles (when he first steps in the cap).
So, the answer is D. When the cab travels 0 miles, the total fee will be $10.00.
List all numbers from the given set that are a. natural numbers, b. whole numbers, c. integers, d. rational numbers, e. irrational numbers, and f. real numbers.
Answer:
See attached
Step-by-step explanation:
You want the given numbers classified as to Natural, Whole, Integer, Rational, Irrational, and/or Real.
RealAll the given numbers are real.
IrrationalThe number √2 is irrational. All the others are rational.
IntegerThe values √16 = 4, 0, and -5 are integer values. Whole numbers are non-negative integers, so exclude -5. Natural numbers are positive integers, so exclude 0 and -5.
The Xs indicate the categories each number belongs to.
I NEED HELP WITH STATISCTICS
Answer:
20cm
Step-by-step explanation:
Use the graph to answer the question.
Graph of polygon ABCD with vertices at negative 2 comma negative 1, 0 comma negative 4, 4 comma negative 4, 2 comma negative 1. A second polygon A prime B prime C prime D prime with vertices at 5 comma negative 1, 7 comma negative 4, 11 comma negative 4, 9 comma negative 1.
Determine the translation used to create the image.
7 units to the right
3 units to the right
7 units to the left
3 units to the left
The translation used to create the image A'B'C'D', from the pre image ABCD is T(7, 0), which corresponds with the option;
7 units to the right
What is a translation translation transformation?The coordinates of the vertices of the polygon ABCD are;
A(-2, -1), B(0, -4), C(4, -4), D(2, -1)
The coordinates of the vertices of the polygon A'B'C'D' are;
A'(5, -1), B'(7, -4), C'(11, -4), D'(9, -1)
The coordinates of the vertices of the image indicates;
The difference between the coordinates are;
A'(5, -1) - A(-2, -1) = (5 - (-2), -1 - (-1)) = (7, 0)
B'(7, -4) - B(0, -4) = (7 - 0, -4 - (-4)) = (7, 0)
C'(11, -4) - C(4, -4) = (11 - 4, -4 - (-4)) = (7, 0)
D'(9, -1) - D(2, -1) = (9 - 2, -1 - (-1)) = (7, 0)
The translation that is used to create the image is therefore;
A translation 7 units to the rightLearn more on translation transformation here: https://brainly.com/question/11134096
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Consider the following figure
The arrangement of the side length of the triangles from the least to the greatest is DF < DE < EG < EF < GF.
What is the arrangement of lengths of the triangle?The arrangement of the lengths of the triangle from the least to the greatest is determined as follows;
The size of the length of a triangle increases as the size of the angle opposite to the length increases.
That is the greater the size of the angle opposite the side length of a triangle, the greater the size of the side length of the triangle.
From the given diagram, we can arrange the size of the side length of the triangle as follows;
angle D = 180 - (57 + 58 )
angle D = 65⁰ (this is opposite to length EF)
So the arrangement of the side length of the triangles are;
length DF < Length DE < length EG < length EF < length GF
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100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
A graph of the image of polygon DGF after a dilation centered at the origin with a scale factor of 1.5 is shown below.
What is a dilation?In Geometry, a dilation is a type of transformation which typically changes the dimension (size) or side lengths of a geometric figure, but not its shape.
This ultimately implies that, the side lengths of the dilated geometric figure would be enlarged or reduced based on the scale factor applied.
In this scenario an exercise, we would dilate the coordinates of the polygon by applying a scale factor of 1.5 that is centered at the origin as follows:
D (-2, 0) → (-2 × 1.5, 0 × 1.5) = D' (-3, 0).
G (0, 2) → (0 × 1.5, 2 × 1.5) = G' (0, 3).
F (2, -2) → (2 × 1.5, -2 × 1.5) = F' (3, -3).
Read more on dilation and scale factor here: brainly.com/question/4421026
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I have a deck of 52 cards, from which I draw 3 cards and I would like to make a probability tree diagram, with two events, drawing a spade, and not drawing a spade. These two events have to branches which are the same, drawing a spade and not drawing a spade. Once again these two branches have two more branches for each, drawing another spade and not drawing a spade. I need a tree diagram which includes these branches and events.
The probability is solved and the tree diagram is given
Given data ,
The tree diagram to draw 3 cards out of 52 cards from the given probability details are:
The two events, drawing a spade, and not drawing a spade. These two events have to branches which are the same, drawing a spade and not drawing a spade. Once again these two branches have two more branches for each, drawing another spade and not drawing a spade.
_______ Draw a Spade _______
/ \
______/______ ______\_______
/ \ / \
/ \ / \
/ \ / \
Spade Not Spade Spade Not Spade
| | | |
Draw another Spade Not Draw a Spade Draw another Spade Not Draw a Spade
Hence , the probability of deck of cards is solved
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I need help with this
Answer:
B. {1, 6, 7, 8} ∩ {6, 8, 9} = {6, 8}
Step-by-step explanation:
The intersection of two sets is a set containing the elements that are present in both sets.
{1, 6, 7, 8} ∩ {6, 8, 9} = {6, 8}
