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To solve the problem we must know about quadratic equations.
The type of function best models the data shown on the scatterplot is a quadratic function.
Graph of a Parabolic functionThe graph of a quadratic function is a curve that is in the shape of a parabola. the highest point or the lowest point of the curve is known as the vertex of the parabola.The leading coefficient decides the opening of the parabola therefore if the leading coefficient is positive the parabola will open upside while downside if the leading coefficient is negative.The example of a quadratic equation is given below in the image.
Data showed of the scatterplotAs we can see the data on the scatter plot is also a parabolic shape with vertex at x = 4, and opening downwards, therefore the leading coefficient of the function is negative.Hence, the type of function best models the data shown on the scatterplot is a quadratic function.
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Related Questions
The classroom encyclopedia set seems to fill a shelf that is 24 in long each book is 3/4 in thick how many books are in the classroom set
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The diagonals BF and CE divide the hexagon ABCDEF into two equilateral triangles and a square. Find the perimeter of the hexagon if BF = 3 cm. Answer: P = cm
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Because all the sides are the same size
Answer: The perimeter of the hexagon is 18 cm.
Step-by-step explanation: As given in the question, hexagon is shown in the attached figure.
The diagonals g and h divides the hexagon into two two equilateral triangles and one square .
Also, length of diagonal g = 3 cm.
We are to find the perimeter of hexagon.
We know that all the sides of a square are equal, so we have
length of b = length of h = length of e = length of g = 3 cm.
Since the two triangles are equilateral, so all their sides will be equal.
That is, length of a = length of f = length of g =length of c =length of d = length of h = 3 cm.
We know that the perimeter of a polygon is equal to the sum of the lengths of its sides.
Therefore, the perimeter of hexagon is given by
P = a + b + c + d + e + f = 3 + 3 + 3 + 3 + 3 + 3 = 18 cm.
Thus, the perimeter of the hexagon is 18 cm.
In a rhombus MPKN with an obtuse angle K the diagonals intersect each other at point E. The measure of one of the angles of a ∆PKE is equal 16°. Find the measures of all angles of ∆PKE and ΔPMN.
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The second is that all the sides are congruent. That's actually the key to the problem (or one of them.
The third is that the diagonals are line segments that bisect the angles where the vertex of the angle is.
So just to make sure you understand what that last statement means <PKM = <NKM
K is the vertex of angle PKN
Now the really heavy duty stuff about your question.
Given
K is obtuse. Therefore <PKM can't be 16o because MKN would also have to be 16 degrees and together they don't add up to anything over 90o.
So the 16o angle is at <EPK
Remember that the diagonals meet at right angles. <PEK = 90o
Finally all triangles have 180o
< PKE = 180 - 16 - 90 = 74. So to review
<PKE = 74o
<EPK = 16o
<PEK = 90o That's one half the problem.
Moving on to triangle PMN
By the properties of parallel lines and a rhombus and isosceles triangles, that since PKN is bisected (rhombus property) Then PKN = 2* PKM =2*74 = 148o
The angle opposite <PKN is equal to <PKN so <PMN = <PKN
Since PKN = 148 then PMN = 148
Since KPN = 16o then PMN = 16o
Since triangle <PMN is isosceles <PNM = 16o
Summing up
PMN = 148o
MPN = 16o
MNP = 16o
That's both triangles solved. This is a really nice little problem. If you google properties of a rhombus, you will find all the properties I have used proven.
Answer:
m∠KEP = 90°
m∠EKP = 74°
m∠EPK = 16°
m∠N PM= 16°
m∠MNP = 16
m∠M = 148°
Step-by-step explanation:
If you do RSM those are the answers
What is the circumference of a circle circumscribed around a rectangle with sides 10 cm and 24 cm?
Answers
10^2 + 24^2 = 676
sqrt(676) = 26
The formula for circumference is: diameter times pi.
C = 26pi
for a rectangular solid with length 12 in width 2 in in height 15 in state the appropriate formula for volume and also find the volume
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How can you find the surface area of a composite solid made up of prisms
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https://brainly.com/question/8918751
Can you please help me out ??
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sine (25) = 9 / c.
From here we must clear the value of c to find the measure of AB.
Clearing c we have:
c = 9 / (sine (25))
c = 21.29581425
nearest tenth
c = 21.3
Answer:
c = 21.3
a triangle has an area of 54 m2 and a height of 9m how long is the base of the triangle entered your answer in the box
Answers
base of the triangle = 12 m
Explanation:
Area of the triangle = 1/2 * base * height
We are given that:
area = 54 m^2
height = 9 m
Substitute in the equation to get the base as follows:
Area of the triangle = 1/2 * base * height
54 = 1/2 * base * 9
108 = 9*base
base = 12 m
Hope this helps :)
A =(1/2)* b * h
Where,
b: base
h: height.
Clearing the base we have:
b = 2*A / h
Substituting the values
b = 2*(54) / (9) = 12 m
Answer:
The base of the triangle is 12m long
A swimmer swam 49 kilometers in d days. what is the value of d if the swimmer swam an average of 3.2 kilometers daily?
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Because d= 49/ 3.2= 15 days
C=
5\9
(F−32)
The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true?
I.) A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of 5\9 degree Celsius.
II.) A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
III.) A temperature increase of 5\9 degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.
A) I only
B) II only
C) III only
D) I and II only
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Which measurement statement is correct?
A. There are 2 cups in a pint
B. There are pints in a cup
C. There are 4 quarts in a pint
D. There are 4 pints in quart
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Find an equation of the plane. the plane through the point (3, −8, −2) and parallel to the plane 9x − y − z = 7
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Final answer:
The equation of the plane parallel to the given plane 9x - y - z = 7 and passing through the point (3, -8, -2) is 9x - y - z = 37.
Explanation:
The question involves finding an equation for a plane that is parallel to a given plane and passes through a specific point. Since the planes are parallel, they will have the same normal vector, and thus the same coefficients for x, y, and z. The given plane's equation is 9x - y - z = 7, so the normal vector is (9, -1, -1). Our plane must also have this normal vector, meaning our plane's equation will have the form 9x - y - z = D, where D is a constant we need to find such that the plane passes through the point (3, -8, -2).
Substituting this point into the equation gives us 9(3) - (-8) - (-2) = D, which simplifies to 27 + 8 + 2 = D. Therefore, D = 37 and the equation of our plane is 9x - y - z = 37.
a rectangle that is 2 inches by 3 Inches has been scaled by factor of 7 suppose you want to scale the copy back to its original size what scale factor would you use?
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This is about transformation of objects.
Scale factor back to original size = 1/7
We are told that the rectangle was scaled by a factor of 7.What this means is that if the length and width are x and y respectively, then the new scaled measurements will be;
7x and 7y.
Now,for us to scale back to the original size, all we need to do is to divide the new scale measurements by a factor of 7.This means the original size will be;
Length = 7x × 1/7
Width = 7y × 1/7
Thus,the scale factor will be 1/7 back to the original size.Read more at; https://brainly.com/question/17292295
Margaret wants to call her friend overseas. There is a connection fee of $2 and a charge of $1.50 per minute. So the cost of the call is 2 + 1.5t dollars for t minutes.
Answers
Eric's father Works two part-time jobs one in the morning and one in the afternoon and works a total of 40 hours each 5-day work week. if his schedule is the same each day, and he works 3 hours each morning, how many hours does Eric's father work each afternoon
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40 - 15 = 25
He works 25 hours in the afternoon every week.
25 / 5 = 5
So his father works 5 hours every after noon 5 days out of the week
The number of hours does Eric's father work each afternoon is 5 hours.
Given that,
A total of 40 hours each 5-day work week. And, his schedule is the same each day, and he works 3 hours each morning.Based on the above information, the calculation is as follows:
[tex]= (40 - (3\times 5)) / div 5\\\\= (40 - 15) \div 5\\\\= 25 \div 5[/tex]
= 5
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in 3/4 identify the role of 3. Then explain how to read tbis number
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But how to read the number I’m not sure.
Answer:
The 3 is the numerator, To read the number is "three-fourths"
Step-by-step explanation:
I hope this helps!
Mowing the lawn is one of Jeremy's jobs at home. But, Jeremy's dad offered to help him this week. His dad drew the following diagram of the lawn and told Jeremy to choose one of the parts to mow. If Jeremy wants to mow the rectangle with the smaller area, which one should he choose?
Answers
Let's find out the area of the two parts separately to see which part is smaller.
Area of rectangle is given by Length * Width
Area of Part 1
Width of Part 1 is 16'
Length of Part 1 is 16-12 = 4'
So area of Part 1 is 16*4 = 64' square
Area of Part 2
Width of Part 2 is 8'
Length of Part 2 is 8'
So area of Part 2 is 8*8 = 64' square
So area of both the parts is same . Hence Jeremy may choose any of the parts.
Hope it helps ..!!
which number produces an irrational number when multiplied by 0.5
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pi symbol
if you are flipping a coin what is the sample space
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Answer:
Solution: {Heads, Tails}.
Step-by-step explanation:
Solution: {Heads, Tails}.
Sample space is a list of all the possible outcomes for the event. For flipping a coin the outcomes are {Heads, Tails}.
Which statements are true regarding the regular dodecagon? Check all that apply.
The smallest angle of rotational symmetry for the dodecagon is 30°.
The dodecagon has a rotational symmetry of 180°.
The order of rotational symmetry for the dodecagon is 10.
The dodecagon has a rotational symmetry of 135°.
The angles of rotational symmetry for the dodecagon are multiples of 30°.
Answers
The statements that can be inferred to be true regarding the regular dodecagon include:
The smallest angle of rotational symmetry for the dodecagon is 30°.The dodecagon has a rotational symmetry of 180°.The angles of rotational symmetry for the dodecagon are multiples of 30°.A dodecagon simply means a twelve-sided star polygon that encloses space. It can be regular when all the interior angles and sides are equal.
It should be noted that the smallest angle of rotational symmetry for the dodecagon is 30° and it has a rotational symmetry of 180.
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what is the rate of decay, as a percent, for the following function n(x)=7(0.067)^x
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Answer: The rate of decay is 93.3%.
Step-by-step explanation:
Since we have given that
The exponential function is given by
[tex]n(x)=7(0.067)^x[/tex]
As we know the general equation of exponential function that is given by
[tex]n(x)=a(1-b)^x[/tex]
Here, a denotes the initial value
1-b denotes the rate of decay.
So, On comparing both the equations, we get that
[tex]1-b=0.067\\\\b=1-0.067\\\\b=0.933=0.933\times 100=93.3\%[/tex]
Hence, the rate of decay is 93.3%.
Find the perimeter of an isosceles trapezoid whose two bases have lengths of 10cm and 16 cm and a side length of 5cm
Answers
The perimeter of the isosceles trapezoid is 36cm.
Explanation:An isosceles trapezoid is a quadrilateral with two parallel sides of unequal length. To find the perimeter of an isosceles trapezoid, we need to add the lengths of all its sides. In this case, the two bases have lengths of 10cm and 16 cm, and one of the side lengths is 5cm. Since the two bases are parallel, the other side length is also 5cm.
The perimeter is calculated by adding the lengths of the bases and the two side lengths: 10cm + 16cm + 5cm + 5cm = 36cm.
Most sample surveys use random digit dialing equipment to call residential telephone numbers at random. the telephone polling firm zogby international reports that the probability that a call reaches a live person is 0.15. calls are independent. (a) a polling firm places 7 calls. what is the probability that none of them reaches a person?
Answers
Since the probability of reaching a live person is 0.15, the probability of not reaching someone is 1-0.15=0.85.
The probabilities are independent, which means to find the probability of not reaching anyone on all calls we find (0.85)^7= 0.3206.
The probability that none of the 7 calls reaches a person is approximately 0.1967.
Explanation:To find the probability that none of the 7 calls reaches a person, we need to calculate the probability that each individual call does not reach a person and then multiply those probabilities together.
The probability that a call reaches a live person is 0.15, so the probability that a call does not reach a live person is 1 - 0.15 = 0.85.
Therefore, the probability that none of the 7 calls reaches a person is 0.857 ≈ 0.1967.
a cube has a width of 20 ft what is the surface area of the cube
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The surface area of the cube is 2,400 square feet.
To find the surface area of a cube, one must use the formula:
[tex]\[ \text{Surface Area} = 6 \times (\text{side length})^2 \][/tex]
Given that the width of the cube is 20 feet, we can assume that all sides of the cube are equal, since a cube has all sides of equal length. Therefore, the side length of the cube is 20 feet.
Now, we can substitute the side length into the formula:
[tex]\[ \text{Surface Area} = 6 \times (20 \text{ ft})^2 \] \[ \text{Surface Area} = 6 \times 400 \text{ ft}^2 \] \[ \text{Surface Area} = 2,400 \text{ ft}^2 \][/tex]
Thus, the surface area of the cube is 2,400 square feet.
For what value of xis the square of the binomial 3x+1 is 9 times greater than the square of the binomial x–2?
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First, we expand the parentheses on both sides using FOIL (Firsts, Outers, Inners, Lasts) :
(3x+1)(3x+1)=9(x-2)(x-2)
9x²+3x+3x+1=9(x²-2x-2x+4
Simplify:
9x²+6x+1=9(x²-4x+4)
Now expand the RHS (right-hand side) expression - multiply all the terms inside the parentheses by 9:
9x²+6x+1=9x²-36x+36
Now solve as you normally would to isolate x. Start off by subtracting 9x² on both sides:
6x+1=-36x+36
Add 36x on both sides:
42x+1=36
Minus 1 on both sides:
42x=35
Divide both sides by 42:
[tex]x= \frac{35}{42} [/tex]
which simplifies to
[tex]x= \frac{5}{6} [/tex]
I double checked this by substituting x back into the question and it worked, you can try doing this too for verification.
Final answer:
The value of x for which the square of the binomial 3x+1 is 9 times greater than the square of the binomial x−2 is obtained by equating (3x + 1)² to 9(x − 2)², which simplifies and solves to x = 5/6.
Explanation:
To find the value of x for which the square of the binomial 3x+1 is 9 times greater than the square of the binomial x−2, we need to formulate and solve an equation based on the given conditions:
(3x + 1)² = 9(x − 2)²
Expanding both sides gives us:
9x² + 6x + 1 = 9x² − 36x + 36
Now, by simplifying and solving for x, we find:
42x = 35
x = 35 / 42
x = 5 / 6
Therefore, the value of x is 5/6.
Enrique charges $5 for every 1/5 hour he spends walking dogs.in the morning he walks buttons for 2/5 hour bruno for 1/5 hour and pepper for 3/5 hour. Monday thru friday. On saturdays he takes mimi diva and coco to the dog park for 4/5 of an hour. On wendsday this week it rained and pepper wanted to stay out for only 1/5 hour. How many hours did enrique spend with the dogs this week. Explain your method
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Find the equation of the plane through the point p=(5,5,4)p=(5,5,4) and parallel to the plane 5x+2y−z=−6.
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Π : 5x+2y-z=-6
then they both have the normal vector <5,2,-1>
Given the required plane passes through the point (5,5,4), the new plane is defined by
5(x-5)+2(y-5)-1(z-4)=0
=>
plane: 5x+2y-z=31
The Heller family is having a cookout. To be sure that they have enough food, they plan to have 0.5 pound of hamburger for each adult and 0.25 pound for each child. There will be 15 children at the cookout. If they buy 10 pounds of hamburger, what is the maximum number of adults they expect?
Answers
(1lbs=4 kids, 15 divided by 4= 3.75)
6.25 divided by .5 is over 12
so 12 adults
Answer:
12
Step-by-step explanation:
The diagonal of rectangle ABCD measures 2 inches in length What is the length of line segment AB?
Answers
In the diagram, we already have the angles given so we just need to find the length of one side. Let's first find the length of segment CD since we are given the angles on that side of the rectangle.
We can find its length by applying SOHCAHTOA. We can either use the 60 or 30-degree angle but for this solution let's make use of 60 degrees. From SOHCAHTOA we know that sine of 60 is equal to the length opposite it (CD) over the hypotenuse which is the diagonal that is equal to 2 inches. Knowing this we can solve for CD:
[tex]sin(60)= \frac{CD}{2} [/tex]
[tex] \frac{ \sqrt{3}}{2}= \frac{CD}{2} [/tex]
[tex] \sqrt{3}=CD [/tex]
Since we have a rectangle, the measure of segment CD will just be equal to the measure of segment AB.
ANSWER: The length of line segment AB is √3 or 1.73 inches.
Answer:
Step-by-step explanation:
B on edge
The equation below shows the total volume (V), in cubic units, of 4 identical boxes with each side equal to s units:
V = 4s3
If s = 2.5 units, what is the value of V?
25 cubic units
30 cubic units
62.50 cubic units
156.25 cubic units
HELP FAST
Answers
Answer:
62.50
Step-by-step explanation: im smart