Answer: The correct option is
(b) 1.
Step-by-step explanation: We are given to find the value of c for which the following relation is a function :
R = {(2,8) (12,3) (c,4) (-1,8) (0,3)}.
We know that
a relation is a function if each first element is associated with only one second element.
Since the first elements in R are 2, 12, -1 and 0, so, the value of c cannot be equal to these four values.
Therefore, the only option for c is 1.
Thus, c = 1.
Option (b) is CORRECT.
Use point slope form to write the equation of the line that passes through (-3,4) and has a slope of 7
Tell whether this solution has one, zero or many solutions by solving it -2(z+3)-z=-z-4(z+2)
San is five years old. His older brother Tom is 3 times older as Sam. When Sam is 20 how old will Tom be?
What is the LCD of 3 8/9 and 1 5/12?
Why is the library not adding any more fairy tales
Final answer:
The library may not be adding more fairy tales due to decreased demand, a desire to offer a diverse collection, and a strategic choice to provide a balanced collection.
Explanation:
It is possible that the library is not adding any more fairy tales due to a variety of reasons. One reason could be that the demand for fairy tales has decreased among library patrons. Another reason could be that the library wants to diversify its collection and offer a wider range of books to its readers.
Additionally, the library may be focusing on acquiring books from different genres or themes to cater to the interests of its diverse audience.
It is important to note that libraries regularly make decisions about which books to add to their collection based on factors such as popularity, relevance, and availability. The decision to not add any more fairy tales could simply be a strategic choice made by the library to provide a more balanced and comprehensive collection for its readers.
1. For T (-1,2),(7,8): 10
For E (3,-4), (-2,5): 10.3
For A (-7,0), (-4,12): 12.4
For N (1,-5), (-9,-9): 10.8
2. For S (2,6), (3,10): (2.5, 8)
For F (15,-1),(9,-5): (12, -3)
For T (7,-2), (-10,-8): (-1.5, -5)
For E (-3,0), (-11,9): (-7, 4.5)
Here are the distances and midpoints, calculated step by step:
Distances:
T: (-1, 2), (7, 8)
Difference in x-coordinates: 7 - (-1) = 8
Difference in y-coordinates: 8 - 2 = 6
Distance using the Pythagorean theorem: √(8² + 6²) = √100 = 10
E: (3, -4), (-2, 5)
Difference in x-coordinates: -2 - 3 = -5
Difference in y-coordinates: 5 - (-4) = 9
Distance: √((-5)² + 9²) = √106 ≈ 10.3
A: (-7, 0), (-4, 12)
Difference in x-coordinates: -4 - (-7) = 3
Difference in y-coordinates: 12 - 0 = 12
Distance: √(3² + 12²) = √153 ≈ 12.4
N: (1, -5), (-9, -9)
Difference in x-coordinates: -9 - 1 = -10
Difference in y-coordinates: -9 - (-5) = -4
Distance: √((-10)² + (-4)²) = √116 ≈ 10.8
Midpoints:
S: (2, 6), (3, 10)
Midpoint: ((2 + 3)/2, (6 + 10)/2) = (2.5, 8)
F: (15, -1), (9, -5)
Midpoint: ((15 + 9)/2, (-1 - 5)/2) = (12, -3)
T: (7, -2), (-10, -8)
Midpoint: ((7 - 10)/2, (-2 - 8)/2) = (-1.5, -5)
E: (-3, 0), (-11, 9)
Midpoint: ((-3 - 11)/2, (0 + 9)/2) = (-7, 4.5)
Complete question:
Write the exercise letter in the box above the answer at the bottom of the page. Find the distance between the two given points. If necessary, round to the nearest tenth.
T (-1,2),(7,8)
E (3,-4), (-2,5)
A (-7,0), (-4,12)
N (1,-5), (-9,-9)
Find the midpoint between the two given points.
S (2,6), (3,10)
F (15,-1),(9,-5)
T (7,-2), (-10,-8)
E (-3,0), (-11,9)
sdfasfafsdgagzdgdagdagagda
there are226 pets enter in the pet show what is 226 rounded to the nearest hundreds
Can someone help me with this math ploblem.
BRAINLIEST!!!
Question 18 Unsaved
Melody paid $25.00 for 3 movies & a CD. If the price of each movie was 6.50, what was the price of the CD?
Question 18 options:
$5.50
$11.00
$15.50
$19.50
Can somebody please help me, I’m stumped. Please explain easily too
The squirrel stored seven more than three times as many nuts as the chipmunk. The chipmunk stored x acorns.Write an expression that shows how many acorns the squirrel stored.
A box of colored game pieces contains 60 pink, 55 silver, and 40 white pieces. One piece is randomly selected. To the nearest percent, what is the probability of the event? Drag and drop the correct value into the box. P(silver)=
26%35%37%39%
The solution to 7x = 42 is x = ___.
A.4
B.5
C.6
D.7
Answer:
the x value equals 6.
Step-by-step explanation:
When you are solving for x, divide the 42 by 7.
Your home state uses a linear model y= 24(x - 70) + 1274 to predict the number of vacationers (y) as compared to the average temperature for that week (x). Find the number of vacationers predicted for a week with an average temperature of 85 degrees.
Carol wants to find out the favorite foods of students at her middle school. She asks the boys' basketball team about their favorite foods. so would that be random sampling or biased sampling and why?
Which sequence could be used to transform pentagon p to pentagon Q
Order these numbers from least to greatest
Four cups of hummingbird food that is 20% corn syrup is mixed with six cups of humming bird food that is 15% corn syrup. What percent of corn syrup is in the mixture??
The data below show the number of games won by a football team in each of the last 15 seasons. What is a histogram that represents the data? 3 4 8 12 7 2 1 15 16 6 10 13 4 1 5
The histogram that represents the data will be given below.
0-4, with a frequency of 6
5-9, with a frequency of 4
10-14, with a frequency of 3
15-19, with a frequency of 2
What is a histogram representation of data?One of its most used graphs for displaying frequency tables is the histogram. The ordinal scale, as we all know, describes how frequently each individual value appears in the data collection.
The data below show the number of games won by a football team in each of the last 15 seasons.
3, 4, 8, 12, 7, 2, 1, 15, 16, 6, 10, 13, 4, 1, 5.
Arrange in ascending order. we have
1, 1, 2, 3, 4, 4, 5, 6, 7, 8, 10, 12, 13, 15, 16.
Then we have
Using intervals of width 5, we have
0-4, with a frequency of 6
5-9, with a frequency of 4
10-14, with a frequency of 3
15-19, with a frequency of 2
More about the histogram representation of the data link is given below.
https://brainly.com/question/13244400
#SPJ2
The function h(t) = 150 – 9t represents the height of a ball dropped from 150 feet after t seconds. What will the height of the ball be after 1.4 seconds?
Final answer:
The height of the ball after 1.4 seconds, using the function h(t) = 150 – 9t, is 137.4 feet above the ground.
Explanation:
To determine the height of the ball after 1.4 seconds using the function h(t) = 150 – 9t, we simply need to substitute the value of t with 1.4 seconds into the equation.
By plugging in the given values in the equation, the solution we get will be:
h(1.4) = 150 – 9(1.4) = 150 - 12.6 = 137.4 feet
Therefore, the height of the ball after 1.4 seconds will be 137.4 feet above the ground.
Fossils are remains of organisms found in sedimentary rock. These remains are found in thousands of rock layers around the world and provide evidence for Earth's long history of changing lifeforms. Rock layers that formed more recently A. contain fossils of animals only. B. contain fossils of plants only. C. contain fossils that resemble existing species less closely than do fossils found in older rock layers. D. contain fossils that resemble existing species more closely than do fossils found in older rock layers.
Rock layers that formed more recently contain fossils that resemble existing species more closely than do fossils found in older rock layers.
Explanation:Fossils found in rock layers provide evidence for Earth's long history of changing lifeforms. Rock layers that formed more recently contain fossils that resemble existing species more closely than do fossils found in older rock layers. This is because the more recent layers contain organisms that are more similar to the species that exist today.
Learn more about Fossils here:https://brainly.com/question/38424788
#SPJ5
How many square feet of outdoor carpet will we need for this hole?
What is the effect on the graph of the parent function f(x) = x when f(x) is replaced with f(x - 7)?
Aphrodite traveled 144 leagues in 12 days. Then she doubled her rate. How long would it take her to travel 168 leagues at this new speed?
The first step in solving this problem is to compute for the original rate of Aphrodite.
144 leagues / 12 days = 12 leagues/day (original rate)
It was stated in the problem that she doubled her rate which she means she has a new rate of 24 leagues/day (12 x 2).
168 leagues / 24 leagues/day = 7
Therefore, it would take her 7 days to travel 168 leagues at her new speed.
An RV leaving Canada is stopped at customs at the border and weighed. The scale shows a reading of 2.5 tons. What is the weight of the RV in tonnes?
The weight of the RV in tonnes is approximately 2.26796 tonnes.
Explanation:The weight of the RV can be converted from tons to tonnes using a conversion factor. One ton is equal to 0.90718474 tonnes. To find the weight of the RV in tonnes, we can multiply 2.5 tons by the conversion factor:
Weight in tonnes = 2.5 tons x 0.90718474 tonnes/ton = 2.26796 tonnes
Therefore, the weight of the RV in tonnes is approximately 2.26796 tonnes.
Learn more about converting tons to tonnes here:https://brainly.com/question/30747056
#SPJ12
Line plots display individual data? True or false?
A set of cards contains cards numbered 1 – 8. Mrs. Jacob’s class is conducting an experiment in which a card is drawn from the pile, the number is recorded, and then the card is returned to the set. The class will conduct 1,000 trials. Based on the theoretical probability, which is the best prediction for the number of times a 4 will be drawn from the pile?
111
125
143
250
Answer:
2nd Option is correct.
Step-by-step explanation:
We are given a set of cards containing numbers from 1 to 8 on each cards.
Randomly a card is drawn and noted.
This is repeated 1000 times.
To find: Number of time 4 will be drawn from the pack using theoretical probability.
We know that,
Theoretical Probability: Probability which is based on reasoning and written as a ratio of the number of favorable outcomes to the total number of outcomes.
Probability of getting 4 from the pack = [tex]\frac{1}{8}[/tex]
Now, Number of the times 4 will be drawn from pack out of 1000 times
= [tex]\frac{1}{4}\times1000[/tex]
= 125
Therefore, 2nd Option is correct.
Jeff had $20. He spent 1/8 of his money on lunch and 2/5 of his money at the movies. How much money does Jeff have left?
In the figure, PQ is parallel to RS. The length of RP is 2 cm; the length of PT is 18 cm; the length of QT is 27 cm. What is the length of SQ?
Step 1
Find the value of TS
we know that
if PQ is parallel to RS. then triangles TRS and TPQ are similar
so
[tex]\frac{TR}{TP} =\frac{TS}{QT}[/tex]
solve for TS
[tex]TS =\frac{TR*QT}{TP}[/tex]
we have
[tex]RP=2\ cm\\TP=18\ cm\\QT=27\ cm[/tex]
[tex]TR=TP+RP\\TR=18+2=20\ cm[/tex]
substitute
[tex]TS =\frac{20*27}{18}[/tex]
[tex]TS =30\ cm[/tex]
Step 2
Find the value of SQ
we know that
[tex]SQ=TS-QT[/tex]
we have
[tex]TS =30\ cm[/tex]
[tex]QT=27\ cm[/tex]
substitute
[tex]SQ=30\ cm-27\ cm=3\ cm[/tex]
therefore
the answer is
the value of SQ is [tex]3\ cm[/tex]
Answer: C. 3cm
Step-by-step explanation:
Yesterday, Jed's bank account balance was –$26.34. He deposited some money into his account so that the balance is now $42.18.
How much did he deposit into his account?
$68.52
$15.84
$68.42
$16.84
PLEASE HELP ME!! I AM DOING AN EXAM