Answers
Answer:
Pleae see the attached graph.
Step-by-step explanation:
The values of x are graphed for their respective valid regions, as defined in the question.
Related Questions
Lowest common multiple of 12,18,56
Answers
Step-by-step explanation:
12 = 2 × 2 × 3
18 = 2 × 3 × 3
56 = 2 ×2 × 2 × 7
Now
Common factor = 2
Remaining factor = 2 × 3 × 2 × 3 × 7
LCM = RF × CF
= 504
hence the lCM of 12 , 18 and 56 is 504...
[tex]...[/tex]
In apirl is rained 1/4 of a inch on 15 diffret day how many inches of rain fell
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In [tex]15[/tex] diffret days [tex]15/4[/tex] inches of rain fell in April month if every day rained [tex]1/4[/tex] of a inch .
How to find the rain fell in [tex]15[/tex] diffret days ?
We know that rain in every day is [tex]1/4[/tex] of a inch
So for [tex]15[/tex] days
[tex]1/4+1/4+1/4+......15times\\=15/4[/tex]
So in [tex]15[/tex] diffret days in April rain fell is [tex]15/4[/tex] inches.
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PLEASE HELP IM REALLY STUCK
Answers
Answer:
[tex]a_{18}=-70[/tex]
Step-by-step explanation:
[tex]a_n=a_1+(n-1)d[/tex]
[tex]a_1=2, d = -4[/tex]
[tex]a_{18}=-2+(18-1)*(-4)=-2-68=-70[/tex]
Can you plssss help !!!
Answers
The parts of the circle shown in the image include, chord, diameter, radius, tangent and center point.
Parts of the circle shown in the imageThe following are the parts of the circle shown;
Chord: the length DC and DG represent the chord of the circleDiameter: the length HF represent the diameter of the circleRadius: the length HA and FA represents the radius of the circletangent: the line JB represents a tangent to the circleCenter: point A represents the center of the circleThus, the parts of the circle shown in the image include, chord, diameter, radius, tangent and center point.
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Elena is making an open-top box by cutting squares out of the corners of a piece of paper that is 11 inches wide and 17 inches long, and then folding up the sides. If the side lengths of her square cutouts are inches, then the volume of the box is given by V(x)=(11-2x)(17-2x).
There are 4 questions in the bottom! Please solve and explain them for me!
Thank youuu
Answers
See below for the solution to each question
The reasonable domain of V(x)From the graph, we can see that:
V(x) have a positive value from x > 0 to x < 5.5
When x = 0 and ≥ 5.5, the values of V(x) are either 0 or negative
Hence, the reasonable domain of V(x) is 0 < x < 5.5
The value of x that gives the maximum volumeFrom the graph, the maximum value of V(x) is at
V(2) = 182
Hence, the approximate value of x that gives the maximum volume is 2
The values of x where the volume increasesThis is the interval where V(x) increase as x increase
From the graph, V(x) increase from x > 0 to x = 2
Hence, the approximate values of x where the volume increases are 0 < x ≤ 2
The interpretation of the point of intersectionThe other function is
B(x) = 140
So, the point of intersection represent where the volume is 140
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help me!!!
please I am in a rush
Answers
Answer:
A= 54
B=3
Step-by-step explanation:
I hope this helps!
The reciprocals of what three different positive integers have sum equal to 1?
Answers
Answer:
1/a + 1/b + 1/c = 1 , a,b,c is nonzero
Step-by-step explanation:
bc +ac +ab /abc = 1
bc + ac + ab = abc
a = b = c = 1
A group of students consists of four people in all; two women and two men. They agree to take turns taking notes in lecture. One person at a time will be selected at random from the group (without replacement) until everyone has had a turn. The expected value of the number of people selected before and including the first time a woman has a turn is (Q17)______ .
The standard error of the number of people selected before and including the first time a woman has a turn is (Q18)______ .
Answers
The expected value of the number of people selected before and including the first time a woman has a turn is 1.6667 and the standard error is 0.7454.
How to illustrate the information?It should be noted that the expected value will be:
1[p(x = 1)] + 2[p(x = 2)] + 3[p(x = 3)]
= 1(0.5) + 2(0.3333) + 3(0.1667)
= 1.6667
Var(X) = E(X²) - E(X)2
= 3.3335 & (1.6667)²
= 0.555611
The standard error will be:
= ✓0.555611
= 0.7454
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Select the correct answer.
What is the general form of the equation of a circle with its center at (-2, 1) and passing through (-4, 1)?
OA 2+2-4x+2y+1=0
OB. ++4x-2y+1=0
OC. 2+2+4x-2y+9=0
OD. -+2x+y+1=0
entum. All rights reserved.
Reset
C
Next
C
Answers
(x-a)^2 + (y-b)^2 = R^2
For this circle,
(x+2)^2 + (y-1)^2 = R^2
We also know that (-4,1) is a part of the circle, so we replace:
(-4+2)^2 + (1-1)^2 =R^2
4= R^2
The equation of the circle is:
(x+2)^2 + (y-1)^2 = 4
x^2 +4x+4 + y^2 -2x+1 =4
x^2 + 4x + y^2 -2y +1 =0
someone please help me with question #14 !!!
Answers
Answer: a, c, e
Step-by-step explanation:
a) True. If x=0, f(0)=c.
b) False. Considering the quadratic formula, we know the solutions are not always x=c.
c) True. This is a standard fact.
d) False. If the discriminant is not positive, there are less than two x-intercepts.
e) True. If you plug into the formula [tex]x=-\frac{b}{2a}[/tex], if b=0, then obviously the x-coordinate of the vertex is also 0.
What is the measure of arc QR?
Answers
Answer:
answer is the third choice : 104
Step-by-step explanation:
Inscribed Angle Theorem
If an angle is inscribed in a circle, then the measure of the angle equals one half the measure of its intercepted arc.
so the intercepted arc is TWICE the measure of an angle inscribed in a circle
1. A central angle is an angle with endpoints located on a circle's circumference and vertex located at the circle's center. A central angle in a circle determines an arc.
2. An inscribed angle is an angle formed by three points on the circle's circumference.
Angle at the Center Theorem: An inscribed angle is half of the central angle (if they determine the same arc).
In your case angles:
1. ∠QSR is insribed (determines the arc QR);
2. ∠QTR is central (determines the arc QR).
Then by Angle at the Center Theorem, m∠QTR=2m∠QSR=2·52°=104°. Arc QR has the same measure as central angle QSR.
gathmath
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It cost Cai $1,80 to send 12 text messages, How much would it cost to send 90 text
messages?
Answers
Answer:
$13.5
Step-by-step explanation:
cost of 1 text message= $1.80÷12 =$0.15
cost of 90 messages = $0.15×90 = $13.5
Answer: $13.50 for 90 text messages
Step-by-step explanation:
$0.15×90 = $13.5
$0.15 is the unit rate for 1 text message cost.
The length of a rectangle is 3 less than twice the width. Determine how the area will change if the length of the rectangle is increased by 5 and the width is decreased by 2. Show your work.
Answers
The change in the area is represented by the expression ΔA = 9 · x + 4, where x is the original width of the rectangle.
What is the change in the area of the rectangle if side lengths are changed?
By geometry we know that the area of a rectangle is equal to the product of its width (x) and length (y). Based on the statement, the original rectangle is equal to:
A = x · y
A = x · (2 · x - 3)
And the change in the area is:
A + ΔA = (x + Δx) · (y + Δy)
A + ΔA = x · y + Δx · y + Δy · x + Δx · Δy
ΔA = Δx · y + Δy · x + Δx · Δy
ΔA = (2 · x - 3) · Δx + Δy · x + Δx · Δy
ΔA = 2 · (2 · x - 3) + 5 · x + 10
ΔA = 9 · x + 4
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Find the other endpoint of the line segment with the given endpoint -5, 2 and midpoint 2, -5
Answers
Answer:
( 9, -12 )
Step-by-step explanation:
Mario's Math Tutoring
you have the midpoint
2, -5
use the midpoint formula
(x1+x2)/2 , (y1+y2)/2
to get the endpoint
x :
(-5+x2)/2 = 2
(-5+x2) = 4
-5+x2 = 4
x2 = 9
y:
(2+y2)/2 = -5
(2+y2) = -10
2+y2 = -10
y2 = -12
Thank you Mario!
A safe has a 4-digit lock code that does not include zero as a digit and no digit is repeated. what is the probability that the lock code consists of all even digits?
Answers
Probability that the lock code consists of all even digits is [tex]1344[/tex] if we choose the [tex]4[/tex] digit lock is randomly from numbers [tex]1,2,3,4,5,6,7,8,9[/tex]
How can we find the probability that the lock code consists of all even digits?
Total numbers are [tex]1,2,3,4,5,6,7,8,9[/tex]
And we choose [tex]4[/tex] digit code
So probability of choosing [tex]4[/tex] numbers from [tex]9[/tex] numbers without reapitation is
[tex]9p_{4} =\frac{9!}{(9-4)!} \\=\frac{9*8*7*6*5!}{5!} \\=3024[/tex]
For All numbers are even , probability the last digit of number is even.
So we have [tex]4[/tex] even number and if we fix one on last digit and can change other [tex]3[/tex] then the probability is
[tex]4*8P_{3} =4*\frac{8!}{(8-3)!} \\=4*\frac{8*7*6*5!}{5!} \\=1344[/tex]
So the total probability of code lock having all even number is [tex]1344[/tex]
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To form an ellipse, what is the relationship between the base of the cone and the angle of the plane that intersects the cone?
Answers
The relationship between the base of the cone and the angle of the plane that intersects the cone is that the plane must be at a 45 degree angle to the base of the cone. Thus, Option D is correct.
According to the statement
we have given that the to form a ellipse we use the base and angle of the cone, And we have to tell the relationship between them.
So, For this purpose, We know that the
An ellipse is a plane curve surrounding two focal points, such that for all points on the curve, the sum of the two distances to the focal points is a constant.
And to make a ellipse the relationship between the base of triangle and the angle of the cone is that the
The plane must be at a 45 degree angle to the base of the cone.
By this way we make a ellipse with the help of the cone.
So, The relationship between the base of the cone and the angle of the plane that intersects the cone is that the plane must be at a 45 degree angle to the base of the cone. Thus, Option D is correct.
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Disclaimer: This question was incomplete. Please find the full content below.
Question:
To form an ellipse, what is the relationship between the base of the cone and the angle of the plane that intersects the cone?
A. The plane is parallel to the base of the cone..
B. The plane may be perpendicular to the base of the cone..
C. The plane is at an angle that is neither parallel nor perpendicular to the base of the cone.
D. The plane must be at a angle to the base of the cone.
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Answer:
The plane is at an angle that is neither parallel nor perpendicular to the base of the cone.
Step-by-step explanation:
The plane doesn't need to be at an exact angle of 45 degrees. The most important thing is that the angle isn't parallel or perpendicular to the base of the cone, but it has to be non-zero without intersecting the base itself. It also only intersects one of the cones when looking at a double-cone.
Unoccupied seats on flights cause airlines to lose revenue. Suppose a large airline wants to estimate its mean number of unoccupied seats per flight over the past year. To accomplish this, the records of 225 flights are randomly selected and the number of unoccupied seats is noted for each of the sampled flights. The sample mean is 11.6 seats and the sample standard deviation is 4.1 seats. Assume the underlying population of unoccupied seats is normally distributed. Using a t- statistic, construct a 95% confidence interval for the population mean number of unoccupied seats per flight.
Answers
The given sample's 95% confidence interval is 11.6 ± 0.5357. I.e., from the lower bound 11.06 to the upper bound 12.14. Its margin error is 0.5357.
How to find the confidence interval?To find the confidence interval C.I,
Determine the mean(μ) of the sampleDetermine the standard deviation(σ)Determine the z-score for the given confidence level using the z-score tableUsing all these, the confidence interval is calculated by the formula, C. I = μ ± z(σ/√n) where n is the sample size and z(σ/√n) gives the margin error. So, we can also write C. I = mean ± margin error.Calculation:It is given that,
Sample size n = 225
Sample mean μ = 11.6
Standard deviation σ = 4.1
Since 95% confidence interval, z-score is 1.96
So, the required confidence interval is calculated by,
C. I = μ ± z(σ/√n) or mean ± margin error
On substituting,
C. I = 11.6 ± 1.96(4.1/√225)
= 11.6 ± 1.96 × 0.2733
= 11.6 ± 0.5357
So, the lower bound = 11.6 - 0.5357 = 11.065 and
the upper bound = 11.6 + 0.5357 = 12.135.
Thus, the confidence interval is from 11.06 to 12.14, and its margin error is 0.0537 for the population mean number of unoccupied seats per flight.
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Need help with explanation on solving this problem.
Answers
Answer:
x=27.80
Step-by-step explanation:
we know that cosA=base/hypotaneous
so,
[tex]cos44 = \frac{20}{x} \\ x = \frac{20}{cos(44)} \\ = \frac{20}{0.7193...} \\ = 27.80 [/tex]
Find the area of each of these rectangles
Answers
b) 6 units square
c) 36 units square
The length of a rectangle is 8 inches more than the width. the perimeter is 44 inches. find the length and width of the rectangle
Answers
Answer: Width is 7 inches, length is 15 inches.
Step-by-step explanation:
Let the width be w. Then, the length is w+8.
[tex]2(w+w+8)=44\\\\w+w+8=22\\\\2w+8=22\\\\2w=14\\\\w=7\\\\\implies l=15[/tex]
A group of 31 friends gets together to play a sport. First, people
must be divided into teams. Each team has to have exactly 3
players, and no one can be on more than one team. How many
teams can they make? (It is possible that not everyone can be on a
team.)
(Do not include units in your answer.)
Answers
The number of teams she can make is 10.
How many teams can she make?Division is the process of putting a number into equal groups using another number. The sign used to denote division is ÷. Division is one of the basic mathematical operations. Other basic mathematical operations include addition, subtraction, multiplication.
The number of teams that can be made can be determined by dividing the total number of friends by the total number of players in each team. The whole number that is derived from the division process is the number of teams teams that can be made given the total number of friends and the number of people that have to be in each group.
Number of teams she can make = total number of friends / number of people in each group
31 / 3 = 10 remainder 1
So, only 10 teams can be made. one person would not be on any team.
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You are building a ramp that must cover a horizontal distance of exactly 13 feet. The angle of the ramp from the ground is 26 degrees. Determine the length of the ramp, in feet.
Answers
Answer: 18.6 feet
Step-by-step explanation: Horizontal distance = 17 feet and the angle
of elevation = 24°
4x-6y=-20
-2x+4y=6
8th grade pre algebra
Answers
The values of x and y that are solutions to the simultaneous equations are; x = -11 and y = -4
How to Solve Simultaneous Equations?
We are given the simultaneous equations;
4x - 6y = -20 -----(eq 1)
-2x + 4y = 6 -----(eq 2)
Multiply equation 2 by 2 and eq 1 by 1 to get;
-4x + 8y = 12 -----(eq 3)
Add eq 3 to eq 1 to get;
2y = -8
y = -4
Thus;
4x - 6(-4) = -20
4x + 24 = - 20
4x = -20 - 24
4x = -44
x = -44/4
x = -11
Thus, the values of x and y that are solutions to the simultaneous equations are; x = -11 and y = -4
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Which value is not part of the five-number summary for the following data set?
35, 23, 24, 30, 28, 23, 27, 33, 27, 34, 30, 30
A. 29
B. 23
C. 31.5
D. 24
Answers
Answer:
D. 24
Step-by-step explanation:
The 5-number summary of a data set includes ...
minimum1st quartilemedian (2nd quartile)3rd quartilemaximumSummary valuesWhen the data are written in increasing order, they are ...
23 23 24 27 27 28 30 30 30 33 34 35
The minimum is the first value on the list, 23.
The first quartile is the average of the two middle values in the lower half of the data set: (24+27)/2 = 25.5.
The median is the average of the two middle values: (28+30)/2 = 29.
The third quartile is the average of the two middle values in the upper half of the data set: (30+33)/2 = 31.5.
The maximum is the last value on the list: 35.
Answer choicesA. 29 is the median
B. 23 is the minimum
C. 31.5 is the 3rd quartile
D. 24 is not part of the 5-number summary
If rick has 35 oranges and he divide them into equally into 7 bags. what fraction represents the number of oranges rick puts in each bag?
Answers
Please answer questions three to five!
Answers
The computation shows that the amount that will be charged will be $5.00 and $9.00 respectively.
How to illustrate the information?When the customer has a 6 pound Chihuahua, the amount that will be charged will be $5.00.
When a customer has a 65 pound Labrador, the amount that will be charged is $9.00.
This is illustrated as the cost is based on the weights given.
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Almost done!!! Appreciate the help
Answers
Using the formula for the distance between two points to find the side lengths, the perimeter of the polygon is of 25 units.
What is the perimeter of a figure?The perimeter of a figure is given by the sum of the side lengths of it's outside dimensions.
What is the distance between two points?Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
For this problem, the distances are given as follows:
[tex]D_1 = \sqrt{(-1 -(-1))^2 + (6 - 3)^2} = 3[/tex].[tex]D_2 = \sqrt{(2 -(-1))^2 + (10 - 6)^2} = 5[/tex].[tex]D_3 = \sqrt{(5 - 2)^2 + (6 - 10)^2} = 5[/tex].[tex]D_4 = \sqrt{(5 - 5)^2 + (3 - 6)^2} = 6[/tex].[tex]D_5 = \sqrt{(5 - (-1))^2 + (3 - 3)^2} = 6[/tex].Hence the perimeter is given by:
P = 3 + 2 x 5 + 2 x 6 = 25 units.
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If sin (90° - α) = BC /CA,write down the ratio of sina.
Answers
Answer:
Step-by-step explanation:
sin(90-a)=cos
cos = angle adjacent
theta=BC/CA
You and a friend are playing a game of chance. Every time you roll a 1 or 2 you are successful, and your friend will pay you $1. Every time you roll (using a fair die) a 3, 4, 5 or 6, you must pay your friend $2. If 71% of your rolls are successful and 29% of your rolls are unsuccessful, how much money do you expect to have earned/owed by the end of the game
Answers
Considering the mean of a discrete distribution, you are expected to earn $0.13 by the end of the game.
What is the mean of a discrete distribution?The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.
Since 71% of your rolls are successful and 29% of your rolls are unsuccessful, the distribution of your earnings is:
P(X = 1) = 0.71.P(X = -2) = 0.29Hence the expected value is:
E(X) = 1 x 0.71 - 2 x 0.29 = 0.71 - 0.58 = 0.13
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HELP pleeeeease, will give brainliest
Answers
Answer:The answer is A
Step-by-step explanation: