Answer:
Since there is one value of y for every value of x in ( 1,−2) ,( 2,1),(3,6), (4,13 ) ,(5 ,22 ) , this relation is a function.
The relation is a function.
A relation is a function if it has only one y-value for each x-value. The relation (1,−2), (2,1), (3,6), (4,13), (5,22) is a function.
What is a function?A relation is a function if it has only one y-value for each x-value.
The given relation is one comma minus two
two comma one
three comma six
four comma thirteen
five comma twenty two.
(1,−2), (2,1), (3,6), (4,13), (5,22)
In the ordered pairs (x, y) , there should not have same y value.
As we observe there are only one y values for x value.
Every domain element is have unique codomain element.
Hence the relation (1,−2), (2,1), (3,6), (4,13), (5,22) is a function.
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The length of a rectangle is
5 inches more than 4 times the width. The perimeter is 60 inches. Find the length and the width.
Answer:
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Need help with this right now, please.
Answer:
see below
Step-by-step explanation:
the circumference of a circle is
[tex]2\pi r[/tex]
in our problem
r=11
[tex]C=2\pi (11)\\\\=22\pi[/tex]
rounded to the nearest tenth
[tex]C\approx69.1[/tex]
the area of a circle is
[tex]\pi r^2[/tex]
so the area is
[tex]A=\pi(11)^2\\\\=121\pi[/tex]
rounded to nearest tenth
[tex]A\approx 380.1[/tex]
In a study of the impact of smoking on birth weight, researchers analyze birth weights (in grams) for babies born to 189 women who gave birth in 1989 at a hospital in Massachusetts. In the group, 74 of the women were categorized as smokers and 115 as non-smokers. The difference in the two sample mean birth weights (non-smokers minus smokers) is 281.7 grams and the 95% confidence interval is (76.5, 486.9). Which gives the best interpretation of what we can conclude about the impact of smoking on birth weight
Answer:
Given:
Total women - 189
Smokers - 74
Non-smokers - 115
The difference in 2 samples mean birth weight = 281.7 grams
95% confident that the mean weight = between 76.5 grams to 486.9
solution:
The best interpretation would be -
95% confident that the babies of nonsmokers have a mean weight between 76.5 grams to 486.9 grams which is much more than the babies of women smokes by comparing smokers to nonsmokers from given data.
the riding lawn mower that alejandro has on his farm has the top speed of 8 km/h. What is a lawn mowers top speed in meters per hour?
Answer:
Step-by-step explanation:
800
Answer:
oh we late
Step-by-step explanation:
Is this nonlinear?
S
Answer: it seems to be Liner
Step-by-step explanation:
Has a Constant rate
Show that (3m+4n)2 –48mn= (3m-4n)2
Answer:
Please see the attached picture.
The scatterplot shows the relationship between the number of slices of pizza eaten by each member of a football team (x) and the number of laps around the block the player could run immediately afterward (y). The equation of the regression line shown on the graph is y = 10 – 0.67x:
Use the equation above to predict the number of laps a player who ate 7 slices can run.
Answer:
5.31
Step-by-step explanation:
Given the regression line equation, [tex] y = 10 - 0.67x [/tex], where,
x = number of slices of pizza eaten
y = number of laps run immediately
Number of laps run by a player who ate 7 slices of pizza can be predicted by plugging in x = 7 into the regression line equation to find y:
[tex] y = 10 - 0.67x [/tex]
[tex] y = 10 - 0.67(7) [/tex]
[tex] y = 10 - 4.69 [/tex]
[tex] y = 5.31 [/tex]
if there ar 10 people in the bus
and 5 get off
and 40 more come in
total people in the bus can be only 30
is the number people in bus more than toatal people or less
Answer:
no there are more people than total people
Step-by-step explanation:
10 - 5 + 40 = 45
45 is frater than 30
hence there are more people than total
Help help help help help!!!!!
Answer:
6) 130
7) x = 35
8) y = 100
9) 50
10) 130
11) DEF = 29
12) FEG = 61
13) DEF = 91
14) FEG = 89
Step-by-step explanation:
6)angle AEB is 50°
supplementary is when 2 angles add together to make 180°
50 + x = 180
x = 180 - 50
x = 130
7)
angles AEB and DEC are vertical angles
vertical angles are equal.
50 = x + 15
50 - 15 = x
35 = x
8)
AEB and AED are supplementary angles
supplementary angles add together to make 180
50 + (y + 30) = 180
y + 30 = 180 - 50
y + 30 = 130
y = 130 - 30
y = 100
9)
DEC is vertical to AEB
vertical angles are equal.
AEB = 50
DEC = 50
10)AED = y + 30
as established earlier, y = 100
substitute Y for 100
AED = 100 + 30
AED = 130
11 & 12)DEF and FEG are complimentary.
complimentary means they add together to make 90
(3x - 4 ) + (5x + 6 ) = 90
3x - 4 + 5x + 6 = 90
8x + 2 = 90
8x = 90 - 2
8x = 88
x = 88/8
x = 11
substitute x into the equations
DEF = 3x - 4
DEF = 33 - 4
DEF = 29
FEG = 5x + 6
FEG = 55 + 6
FEG = 61
13 & 14)
DEF and FEG are supplementary.
supplementary means they add together to make 180
(9x + 1) + (8x + 9) = 180
9x + 8x + 1 + 9 = 180
17x + 10 = 180
17x = 170
x = 10
substitute x into the equations
DEF = 9x + 1
DEF = 90 + 1
DEF = 91
FEG = 8x + 9
FEG = 80 + 9
FEG = 89
If I got something wrong please let me know!
The office manager for Better Health Medical Practice asks one of the medical assistants to help with digital thermometer inventory in the six examination
rooms. Starting with room 1, the inventory shows: 2, 4, 2,5.3, 1. What is the total inventory of thermometers?
Answer:
is this a trick question cause how can you have 5.3 thermometers?
The total inventory of the inventory shows 2, 4, 2,5,3, and 1 will be 17.
What is summation?A summation, also abbreviated as a sum, is the outcome of adding two or more numbers or quantities. Here are always an integer number of terms in a summation. There could be only two terms, but there could be one hundred, thousand, or a million. There are summations with an infinite set of parameters.
In another word, the summation is to add or subtract any two or more terms by doing that operation we will get a new result which could be big or small depending upon the number.
Given the inventory 2, 4, 2,5,3,1 if we add this inventory to the total then it will come out to be
2+ 4+ 2+5+3+1 =17 hence 17 will be the correct answer.
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3/4 a - q = k, solve for a
Answer: a = 4k + 4q ÷ 3
Step-by-step explanation:
A 16-cup carton of ice cream costs $26.72. What is the price per pint?
Answer:
$3.34
Step-by-step explanation:
the student council is selling a dozen donuts for $15. what is the unit cost?
Answer:
$1.25
Step-by-step explanation:
15 divided by a dozen (12) is 1.25
Have a great day!
Answer:
$1.25.
Step-by-step explanation:
15/12 = $1.25
Divide: r^2/r^12 A. r^10 B. 1/r^6 C. 1/r^8 D. r^8 E. r^6
Answer:
A. r^10
Step-by-step explanation:
r^2/r^12
1/r^-10
r^10
It cost $20 to park at the concert hall plus concert tickets are $60 each. How much will 6 tickets cost with parking one vehicle the. What would be the independent and dependent variables please
How can I solve 7y + (-5y)
Answer: 2y
Step-by-step explanation:
Adding a negative number is the same as subtracting by that number. In this case,
7y + (-5y)
is equal to
7y - 5y
Find the slope of the line that passes through (7,5) and (1,2)
Jesse and Peyton were on scooters jesse traveled 15 in 6 seconds peyton travels 22 meters in 10 seconds who was moving faster? explain your reasoning
9514 1404 393
Answer:
Jesse
Step-by-step explanation:
Jesse's distance in 60 seconds would be ...
(60 s)(15 m)/(6 s) = 150 m
Peyton's distance in 60 seconds would be ...
(60 s)(22 m)/(10 s) = 132 m
Jesse travels farther in the same amount of time, so Jesse is moving faster.
__
You might find it simpler just to compute the rate of each.
Jesse: (15 m)/(6 s) = 2.5 m/s
Peyton: (22 m)/(10 s) = 2.2 m/s
Jesse's speed is higher.
Functions and their Properties
Practice
Need help
Answer:
[tex]g(n-7)=\frac{n^{2}-14n+43}{7n-49}[/tex] → (a)
Step-by-step explanation:
We need to evaluate g(n - 7), where
[tex]g(x)=\frac{x^{2}-7}{7x}[/tex]Replace x by (n - 7) to evaluate it
∵ x = (n - 7)
∴ [tex]g(n-7)=\frac{(n-7)^{2}-6}{7(n-7)}[/tex]
→ Let us find (n - 7)²
∵ (n - 7)² = (n - 7)(n - 7) = (n)(n) + (n)(-7) + (-7)(n) + (-7)(-7)
∴ (n - 7)² = n² + (-7n) + (-7n) + 49 = n² + -14n + 49
∴ (n - 7)² = n² - 14n + 49
→ Find 7(n - 7)
∵ 7(n - 7) = 7(n) - 7(7)
∴ 7(n - 7) = 7n - 49
→ Now let us write then in the form above
∵ [tex]g(n-7)=\frac{n^{2}-14n+49-6}{7n-49}[/tex]
→ Add the like terms in the numerator
∴ [tex]g(n-7)=\frac{n^{2}-14n+43}{7n-49}[/tex]
The correct answer is (a)
1. The sum of the angle measures in a triangle is 180°. Two angles of a triangle measure 20° and 50°. What is the measure of the third angle?
Quadrilateral PQRS is transformed by translating it 6 units to the right and then rotating it 90° clockwise
about the origin. Which coordinate pairs represent vertices of P'Q'R'S' after these two transformations?
Answer:
(y, -x -6)
Step-by-step explanation:
The coordinates of PQRS is not given, however we'll assume the coordinates of PQRS to be (x,y)
The first transformation: 6 units right
[tex](x,y) -> (x + b, y)[/tex]
Where b = 6
So, the new coordinates will be
[tex](x + 6, y)[/tex]
The second transformation: 90° clockwise
[tex](x,y) -> (y,-x)[/tex]
So, the new coordinates will be
[tex](x + 6, y)-> (y, -x -6)[/tex]
Hence, the new coordinates of PQRS is (y, -x - 6)
Maddie loves bananas! So, Maddie bought 15 boxes of bananas. In each box of bananas, there are 32 bananas. How many total bananas did Maddie buy?
Answer:
480
Step-by-step explanation:
In each box there is 32. Well, we know there is 15 boxes, so we multiply 32 and 15 to get 480.
She bought 480 total bananas :D
Answer:
She would've eaten 480 bananas
Step-by-step explanation:
La representacion algebraica de 8 menos que cinco veces un numero es
Responder:
Tu ecuación debería verse así, 5⋅n − 8
Explicación paso a paso:
No se puede hacer nada más con este tema. Verifique la expresión ingresada o pruebe con otro tema.
Let f(x)=x2−16 and g(x)=15−x. Perform the composition or operation indicated.
(fg)(7)
Answer:
[tex](2x - 16)(15 - x) \\ (2(7) - 16)(15 - 7) \\ (14 - 16)(8) \\ ( - 2)(8) \\ = - 16[/tex]
help help helplgehiog
Answer:
23
Step-by-step explanation:
117 - 94 should be the correct answer
What is the interquartile range of the following data set?
37, 27, 48, 96, 61, 84, 29, 1, 72, 5, 34
A. 64
B. 37
C. 10
D. 45
Answer:
The answer is D, 45.
Step-by-step explanation:
How to find the Interquartile Range
Order the data from least to greatest.Find the median.Calculate the median of both the lower and upper half of the data.The interquartile range is the difference between the upper and lower medians.After doing that, write out your list, and and subtract the medians to get 45.
Answer:
D
Step-by-step explanation:
HELP NEEDED MATHS PLEASE!!!
Answer:
f(3)= 3+1
=4
gf(3) is attached.
A rod with the density sigma(x) = 3 + sin(x) lies on the x-axis between x=0 and x = 3pi/4 find the center of mass of the rod
Answer:
10.7 grams
Step-by-step explanation:
hey there, again!
this is a similar process the mass is denisty*area HOWEVER keep in mind it's flat so the area is just x deltax while denisity is 3 + sin(x)
mass of rod = integral 0 to 3pi/4 of (3 + sin(x))*x deltax
= integral 0 to 3pi/4 of 3x + xsin(x) deltax
= 0 to 3pi/4 [3/2*x^2 + x(-cos(x)) + sin(x)]
= 10.7 grams
Please help, I’m very confused !
A bird goes from a higher location to a lower location at a
rate of 3 meters per second.
Which equation models the change in the bird's position at 120 seconds?
Answer:
The answer is 120(-3)= -360
Step-by-step explanation:
Apex Learning!
So the answer is the NEGATIVE 360!!
Answer:
120(-3)=-360
Step-by-step explanation: