Answers
The domain of the function is D: x ∈ (-3, 7) here the points -3 and 7 are excluded from the domain.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
As we can see in the picture, a graph is shown.
The hollow points denote that at x = -3 and x = 7 the function value is not defined, that's why these points should be excluded from the domain of the functions.
The domain of the function:
D: x ∈ (-3, 7)
Thus, the domain of the function is D: x ∈ (-3, 7) here the points -3 and 7 are excluded from the domain.
Learn more about the function here:
brainly.com/question/5245372
#SPJ1
Related Questions
c) If you are given a circle with center C, how do you locate the vertices of a square inscribed in circle C?
Answers
Answer: The square is inscribed in a circle that means the square is drawn inside a circle such that it's vertices lie on the circle.
You need to remember that the vertices of the square lie on the circumference of circle and the center of circle is also the midpoint of diagonals of the square i.e. Diagonal of the square is equal to diameter of the circle.
We could also see the image of such figure.
what is the probability of rolling a 1 and then rolling an even number with one 6 sided die
Answers
Answer:
5/6(83.33%) I think this should be the probability of it.
Statistical uncertainty in estimates associated with the fact that surveys do not interview every individual in the population of interest is called __________. Group of answer choices measurement error sample bias probability sampling sampling error
Answers
Statistical uncertainty in estimates associated with the fact that surveys do not interview every individual in the population of interest is called Sampling Error , Option D is the correct answer.
What is Sampling Error ?Sampling error is the difference between the estimated value and the true value if the whole population was enumerated while doing the sampling.
By following the sampling principles one can keep the sampling error to the minimum.
The knowledge of the sampling error will help in evaluating the sampling process and defining gits efficiency.
The factors that affect Sampling Error are
Sample Size: When the sample size is large , the Sampling error decreases , They do not have a direct proportion.Sample Design : These define how the sample will be taken , cluster , random , stratified , Different methods have different extent of sampling error , The design should be selected according to the population and resources constraints.Population Variability : The variability in the population increases the sampling error as the sampling is then cannot be uniform and cannot represent the entire population , By increasing sample size , the population variability can be minimized and so the sampling error.Statistical uncertainty in estimates associated with the fact that surveys do not interview every individual in the population of interest is called sampling Error.
Therefore , Option D is the correct answer.
To know more about Sampling Error
https://brainly.com/question/15375591
#SPJ1
Evaluate 1/x^-2 for x= 7.
-49
49
1/49
Please help
And thx but HURRY
Answers
Step-by-Step Explanation:
As we can see, we have been given a negative exponent for “x”. Hence we have to take the reciprocal which would be x squared.
Therefore, x = 7
= x^2 = 7 * 7
= 49
Answer:
49
Step-by-step explanation:
Simplify the expression such that the variable has a positive exponent.
[tex]\frac{1}{x^{-2} }[/tex]x² [negative exponent is taken to the other side]Substitute x = 7.
(7)²49A factory produces a batch of toy vehicles, 1/3 of which are cars and the rest are trucks. trucks have defective ratio of 0.02 and cars have defective ratio of 0.01. the quality inspector picks a toy vehicle at random from the batch and finds out that it is defective. what is the probability that the vehicle was a truck
Answers
Answer:
Step-by-step explanation:
b
what is the absolute vale of |-18|
Answers
Answer:
18
Step-by-step explanation:
the absolute value is 18
Find the value of x of a octagon with a degree of (16x+23)
Answers
180° x (8 sides - 2)
= 1080°
8 corners of an octagon
Each corner has an angle
1080 / 8 = 135°
16x + 23 = 135
16x = 112
x = 7
Can someone help me to solve this question? Prove that the quadrilateral ABCD whose vertices are A(-2,-1), B(-2,-3), C( 5,6), and D(5,-1)is a trapezium.Find the area of trapezium ABCD. Also Can you tell how to find the height of trapezium with vertices without knowing the area? Thank you.
Answers
If the height of the trapezium is 7 units. Then the area of the trapezium will be 31.5 square units.
What is a trapezium?It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a trapezium, one pair of opposite sides are parallel.
The quadrilateral ABCD whose vertices are A(-2,-1), B(-2,-3), C( 5,6), and D(5,-1).
The lines AB and CD are parallel to the y-axis. Then the quadrilateral ABCD is a trapezium.
The height of the trapezium will be 7 units.
The area of the trapezium will be
Area = 1/2 (2 + 7) x 7
Area = 0.5 x 9 x 7
Area = 31.5 square units.
More about the trapezium link is given below.
https://brainly.com/question/22607187
#SPJ1
When analyzing the relationship in non-linear data as a linear association, when should the strategy of ignoring outliers be used?
If ignoring half of the data points allows the remaining data to be represented by a curved line.
If ignoring one or two data points allows the remaining data to be represented by a straight line.
If ignoring half of the data points allows the remaining data to be represented by a straight line.
If ignoring one or two data points allows the remaining data to be represented by a curved line.
Answers
Explanation:
An outlier is typically one or two points that differ greatly from the rest of the data. If ignoring these outliers contributes to the ability to identify non-linear data as a linear association, then a straight line should still be present regardless of these two points.
At summer camp, Rob went on a nighttime nature walk with his troop. During the walk, they saw 3 bats, 1 owl, 2 deer, and 6 squirrels.
Rob had never seen a bat before. What percent of the animals they saw on the walk were bats?
Answers
Answer:
25%???
Step-by-step explanation:
I think
a trapezoid has a perimeter of 14ft what will the perimeter be if each side length id increased by a factor of 7
Answers
Answer:
42
Step-by-step explanation:
Trapezoid has 4 lines
If each side increase by 7, 4 lines totally increase by 7*4 = 28
Perimeter will be 14 + 28 = 42
(Look at image) Need help for question 5. Need this by tomorrow ASAP!
(Repost cuz it’s gonna be impossible for anyone to answer at the rate of questions asked)
Answers
Answer:
little falls has more
Step-by-step explanation:
show your work: little falls total rainfall is 1 6/8 and riverside is 1 5/8
use that to explain :) your welcome
Answer:
Riverside had the greatest rainfall total
Step-by-step explanation:
The total amount of rain in a city will be the sum of products of rain amount and days that got that amount. The city with the largest sum got the most rain. The difference in rainfall can be found by subtracting the lesser amount from the greater.
__
RiversideTotal rainfall in Riverside was ...
(1/8)×1 +(2/8)×3 +(3/8)×3 +(4/8)×1 +(5/8)×1
= (1 +6 +9 +4 +5)/8 = 25/8 = 3 1/8 . . . . inches
__
Little FallsTotal rainfall in Little Falls was ...
(1/8)×1 +(3/8)×1 +(4/8)×1 +(6/8)×2
= (1 +3 +4 +12)/8 = 20/8 = 2 1/2 . . . . inches
__
Riverside had more rainfall, because 3 1/8 is more than 2 1/2.
__
Without calculationYou can "cancel" dots that are in the same place on each plot. Doing so leaves Riverside with 3 dots at 2/8, 2 dots at 3/8, and 1 dot at 5/8. The remaining dots on the Little Falls plot are the 2 dots at 6/8.
The 3 dots at 2/8 add up to 6/8, as do the 2 dots at 3/8 on the Riverside plot. These two 6/8 values cancel the two 6/8 dots on the Little Falls plot. That leaves one uncancelled dot at 5/8 on the Riverside plot, indicating more rain fell at Riverside.
Diego has purchased a $159000 home with a 30-year mortgage at 5.05%. He can make a monthly payment if $1300. If he were to make this each month, how long will it take him to pay off his mortgage?
Answers
Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. It will take 308 months for Diego to pay the complete loan.
What is simple interest?Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. It is calculated with the help of the formula,
SI = P×T×R
where SI is the simple interest, P is the principal amount, R is the rate of interest, and T is the time period.
The interest that will be charged on the principal amount is,
SI = $159,000×30×0.0505 = 240,885
Now, the total amount that Diego needs to pay is the sum of interest and principal, therefore,
Total amount = $159,000 + $240,885 = $399,885
Further, since each month Diego is paying $1300, therefore, the number of months it will take to pay the complete loan is,
Number of months = $399,885/$1300 = 307.6 ≈ 308
Hence, it will take 308 months for Diego to pay the complete loan.
Learn more about Simple Interest:
https://brainly.com/question/2793278
#SPJ1
Mr Thando received a statement of water usage from BCM. According to the statement he has to pay a sum of R281,27incl VAT for March consumption. The statement does not reflect the amount of water used. WATER in kilolitres Tariffs in R/kl excl VAT 0-610 Free +6 - 14k1 R6.36 +14 20kl R7.98 +20 - 30k! R10,05 +30 - 45kl R12,25 +45 R15.49 Mr Thando is so confused and as a result he consulted you to help him to calculate the number of kilolitres of water he has been charged for Use the Table above that was shown in the statement for your calculations
Answers
It can be estimated that the total amount of water that Mr. Thando used is 40 Kiloliters. See the arithmetic calculation/ explanation below and the reconstructed table attached.
What is the calculation of Mr. Thando's Water Usage?The approximate amount of water that he has been charged for will be given as follows:
The maximum fee for Band A + Maximum fee for Band B + Maximum fee for Band C.
Which is: (0) + (6.36 *14) + (7.98*20) = R248.64
Recall that the total amount he was charged is R281.27.
Hence, because the question does not include the percentage of VAT payable, and the referenced table is unavailable, we are forced to assume that the difference between the amount paid and our calculations above is the VAT.
This figure (that VAT) is: R281.27 - R248.64 = R32.63
Hence, the total amount of water used by Mr. Thando is: 6 + 14 + 20 = 40Kl
Learn more about arithmetic calculation at:
https://brainly.com/question/4721701
#SPJ1
Translation 3 units left and 15 units down
Rotation 270° counterclockwise around the origin
Answers
Answer:
W'' (-5,-11) , X'' (-11,-9) , Y'' (-9,-3) and Z'' (-3,-5)
Kindly check the attached image for more reference
Step-by-step explanation:
Given points of WXYZ ( can be identified by looking at the graph )
W : (14,10) X : (12,4)Y : (6,6) Z : (8,12)Applying translation 3 units left , 15 units down
(Note when shifting left , you subtract from the x value , when shifting down, you subtract from the y value.)
Rule for translation (x,y) ===> ( x - 3 , y - 15 )
Applying translation to given points
W : (14,10) ===> (14-3,10-15) ===> (11,-5)X : (12,4) ===> (12-3,4-15) ===> (9,-11)Y : (6,6) ===> (6-3,6-15) ===> (3,-9)Z : (8,12) ===> (8-3,12-15) ===> (5,-3)Applying rotation 270° counterclockwise around the origin
Rotation 270° clockwise rule : (x,y) ===> (y,-x)
Explanation of rule , change the sign of the x values, then swap the x and y values places.
Applying rotation rule to points
W : (11,-5) ===> (y,-x) ===> (-5,-11)X : (9,-11) ===> (y,-x) ===> (-11,-9)Y : (3,-9) ===> (y,-x) ===> (-9,-3)Z : (5,-3) ===> (y,-x) ===> (-3,-5)So the final points of square WXYZ after the two transformations would be W'' (-5,-11) , X'' (-11,-9) , Y'' (-9,-3) and Z'' (-3,-5)
To see this graphed, kindly view the attached image.
The red square represents the square before any transformations
The blue square represents the square following the translation
And the black square represents the coordinates of the square after the full transformation including both the translation and the rotation .
Answer:
Original image:
W = (14, 10)
X = (12, 4)
Y = (6, 6)
Z = (8, 12)
To translate 3 units left, subtract 3 from the x-values (x - 3)
To translate 15 units down, subtract 15 from the y-values (y - 15)
W' = (14 - 3, 10 - 15) = (11, -5)
X' = (12 - 3, 4 - 15) = (9, -11)
Y' = (6 - 3, 6 - 15) = (3, -9)
Z' = (8 - 3, 12 - 15) = (5, -3)
(red square on attachment)
To rotate 270° counterclockwise around the origin (0, 0),
the point (x, y) becomes (y, -x). So, switch x and y and make x negative.
W'' = (-5, -11)
X'' = (-11, -9)
Y'' = (-9, -3)
Z'' = (-3, -5)
(green square on attachment)
sharmar spent at least 30 minutes playing his guitar on saturday he spent 10 minutes longer playing his guitar on saturday than on friday. how many minutes could shamar have played his guitar on friday F?
Answers
Because-
If he did ten more minutes then friday just do 30 - 10 whih 20 mins
6x + 12 = 3+3x
I'll give 25 points...
Answers
Step-by-step explanation:
Question:-6x + 12 = 3+3x
Answer:- 6x + 12 - 3 - 3x=0
6x-3x+12-3=0
3x+9=0
3x=-9
x=-9/3
x=-3
Hope this helps you
Have a nice day
Answer:
x = -3
Step-by-step explanation:
6x + 12 = 3+3x
6x + (12-12) = (3-12)+3x
(6x-3x) = (3x-3x)-9
3x/3 = -9/3
X=-3
Convert the into millimetres.
A. 234cm
B. 15m
C. 25km
Answers
A. 234 cm
multiply the given length value ( 234 ) by 10.
[tex]234 \times 10[/tex]
[tex] = 2340 \: mm[/tex]
B. 15m
multiply the given length value ( 15 ) by 1000.
[tex]15 \times 1000[/tex]
[tex] = 15000 \: mm[/tex]
C. 25km
multiply the length value ( 25 ) by 1000000.
[tex]25 \times 1000000[/tex]
[tex] = 25000000 \: mm[/tex]
a)
234 × 10
= 2340 millimeters
b)
15 × 1000
= 15000 millimeters
c)
25 × 1000000
= 25000000 millimeters
-
I
The shaded area shows a patio that Rudy built. He covered the shaded area with square tiles.
1 tile = 1 square foot
What is the area of the patio?
O A. 15 square feet
O B. 18 square feet
OC. 21 square feet
OD. 25 square feet
Answers
Answer:In the diagram, there are 28 tiles. You can do that with easy multiplication or just counting. Each square length is 1.5 feet, or 18 inches. You get that by multiplying 12 by 1.5. The area of a square is 324 inches, found by multiplying 18 by 18. Divide 324 by the area of a tile, 36 (6*6), to get 9. There are 9 tiles in each square. Multiply 9 by 28 to get... 252
Step-by-step explanation:
What is the mode of the following numbers?
6, 4, 1, 9, 3, 8, 3, 5, 10
Answers
Explanation:
The mode is the most frequent number. It is the number that shows up the most.
Sorting the values gets us {1, 3, 3, 4, 5, 6, 8, 9, 10} in which we can see that "3" shows up twice, which is the most compared to any other value. Therefore the mode is 3.
Mode: (most number repeated in the list)
Mode:3
A circle is placed in a square with a side length of 4 yards as shown below find the area of the shaded region use the value 3.14 for π and do not round your answer be sure to include the correct unit in your answer
Answers
Answer:
If the circle touches all 4 sides, the diameter is 2 so the area us 3.14(4) = 12.56.
16 - 12.56 = your answer
Mark brainliest if I am right pls
Find the equation of the line that passes through the point (-8,15) and is perpendicular to the equation below.
y = -4/5x + 5
A. y = -5/4x + 5
B. y = -4/5x - 7
C. y = -4/5x + 23
D. y = 5/4x + 25
Please help asap!
Answers
Answer:
[tex]y = \frac{5}{4} x + 25[/tex]
Step-by-step explanation:
We were told that the equation of the line we are looking for is perpendicular to
[tex]y = - \frac{4}{5} x + 5[/tex]
We know that the gradient of perpendicular lines when multiplied is equal to -1, therefore
[tex] line \: .1 \times \: line \: .2 = - 1 \\ \\ \frac{4}{5} \times line \: .2 = - 1 \\ \\ line \: .2 = \frac{ - 1}{ \frac{4}{5} } [/tex]
[tex]line\: .2 = \frac{5}{4} \: \: \: \: y = 15 \: \: \: \: x = - 8 \\ \\ y = mx + c \\ \\15 = ( \frac{5}{4} ) - 8 + c \\ \\ 15 = - 10 + c \\ 15 + 10 = c[/tex]
[tex]25 = c \\ \\ therefore \: the \: equation \: of \: the \: line \: is \: \\ \\ y = \frac{5}{4} x + 25[/tex]
I need an equation for the line
Answers
Answer:
Y = -(1/3)X
Step-by-step explanation:
Extract two points
P1(6; -2) P2(-6; 2)
Now:
Y=mX+n. n=0 (interception with Y axis) exis)
Y=mX +0. m= (y2-y1) / (x2-x1)
m= (2+2) / (-6-6)
m= -(1/3)
Y=-(1/3)X
Kate is the captain of a large cruise ship. As she
drives the ship, she sits 50 meters above the sea.
Paul is the captain of a boat. He sits 15 meters
above the sea. If the radius of the earth is
6,371,000 meters, how much further can Kate see
across the horizon than Paul?
Answers
Kate can see across the horizon by 3.33 times further than Paul.
What is the shape of the horizon?The assumed shape of the horizon shows that it forms a cone shape. The volume of the cone can be used to determine how far they can see.
The volume of the cone [tex]\mathbf{ V=\pi r \dfrac{h }{3}}[/tex]
For Kate:
Height (h) = 50 mRadius (r) = 6,371,000 m[tex]\mathbf{ V=\pi r \dfrac{h }{3}}[/tex]
[tex]\mathbf{ V=\pi \times (6371000)^2 \times \dfrac{50 }{3}}[/tex]
V = 2.12526863 × 10¹⁵ m³
For Paul
Height (h) = 15 mRadius (r) = 6,371,000 m[tex]\mathbf{ V=\pi r \dfrac{h }{3}}[/tex]
[tex]\mathbf{ V=\pi \times (6371000)^2 \times \dfrac{15 }{3}}[/tex]
V = 6.3758059 × 10¹⁴ m³
To determine how much further can kate see across the horizon than Paul, we have:
= Volume of Kate/Volume of Paul
= 2.12526863 × 10¹⁵ m³/6.3758059 × 10¹⁴ m³
= 3.33 times further.
Learn more about Plane shapes here:
https://brainly.com/question/4504103
#SPJ1
You have 10 trees and 5 rows you can only use 4 trees a row
Answers
Answer:
You would plant 2 trees in each row instead of 4.
10 divided by 5 = 2
which equation represents a line which is parallel to the line y=8/7x-6?
Answers
Answer: 8x-7y = 56
Step-by-step explanation:
solve system by elimination
-2x+4y=-2
2x+3y=9
Answers
Answer:
y=1, x=3 or (3,1)
Step-by-step explanation:
when you add the two equations together the two x's cancel out, which leaves one solvable equation, 7y=7, so y=1, then you can plug y=1 into one of the equations. 2x+3(1)=9 which is 2x+3=9 then solve, x=3.
Additionally if you want to check answers plug both into one equation- -2(3)+4(1)=-2, -6+4=-2, -2=-2 which is correct.
The solution for the given linear system from the elimination method is x=3 and y=1.
System of Linear EquationsSystem of linear equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point at which the lines intersect.
You can solve a linear system by the adding or substitution methods. In the addition method, you eliminate a variable, on the other hand, in the substitution method you replace a variable for the other.
-2x+4y=-2 (1)
2x+3y=9 (2)
You should sum the equations 1 and 2, for eliminate the variable x.
-2x+4y+2x+3y=-2+9
7y=7
y=1
If y=1 from equation 2, you have:
2x+3*1=9
2x+3=9
2x=9-3
2x=6
x=3
Read more about the solving systems equations by elimination here:
https://brainly.com/question/12691830
#SPJ2
which expression shows the raltinship between 1 and 2 and 6 and 3
Answers
Step-by-step explanation:
THREE SOLUTION TO PROVE ITS FALSE
1:2
Multiply by 3 on each side
1*3 : 2*3 = 3:6
This is not the same as 6:3
3 apple:6 bananas is not the same as 6 apples: 3 bananas
1:2 is equivalent to 6:12 not 6:3
because 1x6=6 2×6=12 =6:12
3)
however when we solve mathematically
1/2=6/3
1/2=2
The sides are not equa so its false
-5(8a - b) - 2(-6a + 9b)
Need answer plis
Answers
carolyn and emily are searching online for tickets to a concert. two weeks ago, the cost was $20. now the cost is $29. carolyn said the percent increase is 45% and emily said the percent of increase is about 31%. who is correct?
Answers
Answer:
Carolyn
Step-by-step explanation:
Carolyn:
45% = 0.45
We multiply the orignal price with 0.45 to see how much it increased.
[tex]20(0.45) = 9[/tex]
We then add it to the original price
[tex]20+9 =29[/tex]
Emily:
31% = 0.31
We multiply the orignal price with 0.31 to see how much it increased.
[tex]20(0.31) = 6.2[/tex]
We then add it to the original price
[tex]20+6.2=26.2[/tex]
That means that Carolyn is correct.
