Answer:
It appears that you are trying to find a quadratic function in standard form that models the number of guests at the large resort as a function of the number of months since the beginning of the year.
To do this, you can use the given data points to solve for the constants a, b, and c in the standard form of the quadratic function f(x) = ax^2 + bx + c.
To find the values of a, b, and c, you will need to have at least three data points. You can then use these data points to solve a system of three equations with three variables.
For example, using the data points (0, 10), (2, 15), and (4, 18), you can set up the following system of equations:
f(0) = 10 = a(0)^2 + b(0) + c
f(2) = 15 = a(2)^2 + b(2) + c
f(4) = 18 = a(4)^2 + b(4) + c
Solving this system of equations will give you the values of a, b, and c that you can use to write the standard form of the quadratic function that models the data.
I hope this helps! Let me know if you have any questions or need further assistance.
Step-by-step explanation:
The diameters of the top and bottom of a frustum of a cone are 6cm and
15cm respectively. If the height of the frustum is 30cm, calculate (i) the
curved surface area (ii) the volume of the frustum.
Curved surface area of frustum is 1000.82 cm² and
Volume of frustum is 2756.754 cm³.
What is a conical frustum?Frustum of cone is the part of cone when it is cut by a plane into two parts. The upper part of cone remains same in shape but the bottom part makes a frustum.
Frustum is a Latin word which means ‘piece cut off’. When a solid (generally a cone or a pyramid) is cut in such a manner that base of the solid and the plane cutting the solid are parallel to each other, part of solid which remains between the parallel cutting plane and the base is known as frustum of that solid.
Height of frustum = h = 30 cm
Diameter of top of frustum = 6 cm
Radius of top = R = 6/2 = 3cm
Diameter of bottom of frustum = 15 cm
Radius of bottom = r = 15/2 = 7.5 cm
Slant Height = l = √h²+ (r - R)²
⇒ l = √30² + (7.5 - 3)²
⇒ l = √900 + 20.25 = √920.25 = 30.34 cm
A) Curved surface area of frustum = π(r + R)l
= 3.1416 × (7.5+3) × 30.34
= 3.1416 × (10.5) × 30.34
Curved surface area of frustum = 1000.82 cm²
B) Volume of frustum = (πh/3)(r²+R²+r.R)
= (3.1416 × 30/3)(7.5² + 3² + 7.5×3)
= (31.416) × (56.25 + 9 + 22.5)
= 31.416 × 87.75
Volume of frustum = 2756.754 cm³
Hence, the curved surface area and volume of given conical frustum are 1000.82 cm² and 2756.754 cm³ respectively.
Learn more about conical frustum here:
https://brainly.com/question/28603698
#SPJ1
If the scale of a map is 1:32000 then what will be the actual distance of 20 cm on the map?
Therefore, By using the formula actual distance = (Map distance) x (Scale ratio) the actual distance of 20 cm on the map of 1:32000 is 0.000625 km or 625 meters.
Define Scale ratio.A ratio scale is a numerical scale with a genuine zero and uniform distances between adjacent points. The Kelvin scale is an illustration of a ratio scale. The actual zero point exists on a Kelvin scale.
What are adjacent points?Two locations that are close to one another are said to be adjacent points.
A scale of 1:32000 means that one unit of measurement on the map represents 32000 units of the same measurement in the real world.
To calculate the actual distance of 20 cm on the map,
We know,
Actual distance = (Map distance) x (Scale ratio)
Actual distance = (20 cm) x (1/32000)
Actual distance= 20/32000
Actual distance = 0.000625 km or 625 meters.
To know more about the scale of a map visit: https://brainly.com/question/29495583
#SPJ1
What is: 1 2/3 + 1 7/6 =
Answer:
Step-by-step explanation:
12/3=24/6
then, 24/6+17/6=41/6
What does FG mean mass?
FG is an abbreviation for "Femtogram," which is a unit of mass equal to one quadrillionth of a gram (10^-15 g).
An exclamation is an emphatic expression of emotion or emphasis. It is often used to express strong feelings such as surprise, joy, excitement, anger, or disbelief. Exclamations are also used to emphasize a point or give an opinion. Exclamations are most commonly used in spoken language, particularly in informal conversations. They can also be used in written language, but they should be used sparingly. Exclamations are often followed by an exclamation point, although they can also be followed by a question mark or an ellipsis. Exclamations can be used to add emphasis or emotion to a statement, making it more powerful and memorable.
Learn more about unit here
https://brainly.com/question/19866321
#SPJ4
Please help!
ponential functions are in the form y = a(b)'.
What values of b make it an exponential growth function?
What values of make b it an exponential decay function?
Ross had 85 papers to grade from his students. He has graded 60 of them. Approximately what percentage of papers does he have left to grade?
well, our origin amount will be 80, so 80 is the 100% or all papers, now, she has graded 60, so what's leftover is 20, what's 20 off of it in percentage?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 80 & 100\\ 20& x \end{array} \implies \cfrac{80}{20}~~=~~\cfrac{100}{x} \\\\\\ 4 ~~=~~ \cfrac{ 100 }{ x }\implies x=\cfrac{100}{4}\implies x=25[/tex]
Jason has some money. His grandmother gives him another $18.00. Write an expression to show how much money Jason has now. Use x for your variable.
Answer:
x + 18
Step-by-step explanation:
The variable is going to be the amount of money Jason has before his grandmother gives him money.
That variable is x.
Then, his grandmother gives him $18. The $18 would be added to the amount of money that Jason already has.
The expressions would be x + 18.
Hello- some help please!! I will give you brainlist :]
Answer:
standard form
= x⁶ + 53x⁵ + 2x⁴ -2
Step-by-step explanation:
the degree is 6.
leading coefficient is 1
this is called a polynomial.
it has 4 terms
what are the integers from -2 to 3 in ascending order?
Answer:
-2, -1, 0, 1, 2, 3
Step-by-step explanation:
Integers are whole numbers that can be either positive or negative. Integers cannot be decimals or fractions.
Ascending order is from least to great so we would start with the smaller number and end with the larger number. So there are 6 integers between -2 and 3.
The medical treatment cost $3000, and the insurance pays 90% less deductible of $300. Write how much money the patient pays and how much the insurance company pays. Describe the mathematics involved.
Based on the question above, the patient pays $600 and the insurance company pays $2400.
What is the arithmetic operations about?To calculate how much the patient pays, we first need to calculate how much the insurance pays. We can do this by taking the total cost of the treatment ($3000) and multiplying it by the percentage that the insurance pays:
(90% = 0.9).
$3000 x 0.9 = $2700
This means that the insurance pays $2700 of the cost of the treatment. But we also need to subtract the $300 deductible from this amount.
$2700 - $300
= $2400
So the insurance pays $2400 for the medical treatment.
To find out how much the patient pays, we can subtract the amount paid by the insurance from the total cost of the treatment:
$3000 - $2400
= $600
Therefore, the mathematics involved in solving this problem is very straightforward. We used basic arithmetic operations such as multiplication and subtraction to find the amounts paid by the insurance company and the patient.
Learn more about arithmetic operations from
https://brainly.com/question/20628271
#SPJ1
Yesterday the temperature at noon was 11.4 f . By midnight the temperature had decreased by 15.7 degrees. What was the temperature at midnight ?
Answer:
-4.3
Step-by-step explanation:
It is asking for the temperature at midnight so to find out what it is. We simply subtract the starting temperature of 11.4f from 15.7 degrees
( 11.4 - 15.7 ). That would leave us with -4.3f at night.
A bag contains:
1 red beads
2 yellow beads
2 green beads
1 blue bead
A bead is chosen at random.
What is the probability that it is green?
What is the probability that it is green or yellow?
Pls pls help!
I'll give you brainliest answer!
Thx!
The probability to draw a green bead is 1/3 and the probability to draw a green or yellow bead is 2/3
It is given that the bag contains 1 red bead, 2 yellow beads, 2 green beads, and 1 blue bead.
Hence the total no. of beads in the bag = no. of red + yellow + green + blue beads
= 1 + 2 + 2 + 1 beads
= 6 beads.
Let the event to draw a green bead be A
Let the event to draw a yellow bead be B
Probability of any event = no. of outcomes favorable to that event/ total number of outcomes
Hence P(A) = no. of green beads/ total no. of beads
= 2/6
= 1/3
Hence the probability that a green bead is drawn is 1/3
P(B) = no. of yellow beads/ total no. of beads
2/6 = 1/3
We need to find P(A or B)
= P(A U B) = P(A) + P(B) - P(A ∩ B)
P(A ∩ B) = P(A and B)
Since no bead is of 2 colors, P(A ∩ B) = 0
Hence we get
P(A U B) = 1/3 + 1/3
= 2/3
Hence the probability to draw a green or yellow bead is 2/3
To learn more about Probability visit
https://brainly.com/question/29251004
#SPJ4
The Key Club has a goal to raise $1,700, which they need for new equipment, by conducting various fundraisers. First, they did a baked of their goal 2/5amount. Next, they did a goods sale and earned 3/8 BINGO night and earned of their goal amount. How much more money does the Key Club still need to earn in order to reach their goal?
The amount of money more that Key Club still need to earn in order to have reached their target is $ 382. 50
How to find the money needed ?To find the amount of money needed by Kay Club to get to their target, first, find the amount of money earned from the bake sale :
= 2 / 5 x Target amount
= 2 / 5 x 1, 700
= $ 680
Then, they did a good sale and earned 3 / 8 of the amount :
= 3 / 8 x 1, 700
= $ 637. 50
The amount of money that Key Club still needs is:
= Total amount - amount raised
= 1, 700 - 680 - 637. 50
= $ 382. 50
In conclusion. Key Club would still need to engage in other activities to be able to reach their goal of $ 1, 700 as they have to raise $ 382. 50.
Find out more on fundraisers at https://brainly.com/question/11052612
#SPJ1
Lori's bookcase has 5 mystery novels and 8 romance novels. She randomly picks out 2 mysteries and 3 romances. How many different sets of 5 novels could Lori pick out?
Answer:
I would say 6 sets
Step-by-step explanation:
Mystery = 5 | Romance = 8
0 5
1 4
2 3
3 2
4 1
5 0
each time she picks out 5 novels. There is only 5 mystery novels so you cant go past that
....but that's just me personally
Answer:
Step-by-step explanation:
560
The total number of laps anitia swims, d, is proportional to the total timethat she swims, t, at constant pace, r. Which of the following equations best represents this situation.?
Select all of the expressions that are equivalent to 109+ 29m − 49n.
2(5 + m − 2n)
9(10 + 2m + 4n)
29(5 + m − 2n)
2(−2n + m + 5)
9(−4n + 2m + 10)
−29(2n − m − 5)
The equivalent expressions of 10/9 + 2/9m − 4/9n are 2/9(5 + m - 2n) and -2/9(2n − m − 5)
How to determine the equivalent expressionsFrom the question, we have the following parameters that can be used in our computation:
109+ 29m − 49n
Express the expression properly
So, we have the following representation
10/9 + 2/9m − 4/9n
Factor out 2/9
So, we have
2/9(5 + m - 2n)
Factor out -1 from the expression
So, we have the following representation
-2/9(2n − m − 5)
Hence, the equivalent expression is -2/9(2n − m − 5)
Read more about equivalent expression at
https://brainly.com/question/2972832
#SPJ1
Maria is using a coordinate plane with the axes labeled only with integers. She says that the point (-0. 5, 2) cannot be plotted because halves are not numbered on the x-axis. Write a note to explain how to plot the point.
Someone pls help?
Therefore , As a result, the intersection of these two lines will be a necessary point in order to solve the specified scatter plot problem (-0.5,2).
Definition of a scatter plot.Several dots are placed on a vertical and horizontal axis to form a scatter plot. In statistics, scatter plots are crucial because they can demonstrate the amount of correlation, if any, between both the quantities of observed quantities or occurrences (called variables).
Here,
Maria You've erred, you know that. You don't understand the points at all. The attachment can be used to your advantage.
The property of rational numbers, according to which there are an endless number of terminating decimals between any two terminating decimals, must be used in order to plot any terminating decimal on the coordinate plane.
On the X axis, indicate -0.5 between 0 and -1.
Mark integer 2 on the Y axis in a similar manner.
Draw a line perpendicular to the Y axis, passing through (-0.5,0), and a line perpendicular to the X axis, passing through (0,2).
These two lines must cross at the specified position (-0.5,2).
As a result, the intersection of these two lines will be a necessary point in order to solve the specified scatter plot problem (-0.5,2).
To know more about scatter plot, visit
brainly.com/question/13984412
#SPJ4
What is the difference between the high and low temp in the thermometer?
*
Captionless Image
The difference between the two given temperature values is 24 °F
How are Kelvin, Celsius, and Fahrenheit related?We have got an equation that can relate these three units of measurement of temperature, as given below:
c/5 = (F - 32)/9= (K - 273)/5
where C represents the measurement of a fixed temperature in celsius, F represents the measurement of that same intensity temperature in fahrenheit, and K represents the measurement of equally intense temperature in kelvin.
The given parameter the lowest temperature = -3 °F
the highest temperature = 21 °F
To determine the difference between the two given temperature values.
The range or difference between the two given temperature values is calculated as follows;
Range = highest - lowest
Range = 21 °F -(-3 °F)
Range = 24 °F
Thus, the difference between the two given temperature values will be 24 °F
Learn more about temperature scale here:
https://brainly.com/question/2919967
#SPJ1
How do you calculate undefined FG?
To calculate undefined FG, subtract the original gravity (OG) from the final gravity (FG) of the beer. This will give you the amount of sugar that has been fermented and, therefore, the amount of alcohol produced. The formula is:
Undefined FG = OG – FG
In order to calculate the undefined FG of a beer, the original gravity (OG) and the final gravity (FG) of the beer must first be determined. The OG is a measure of the sugar content of the wort before fermentation, while the FG is a measure of the sugar content of the beer after fermentation. To calculate the undefined FG, the OG is then subtracted from the FG. This calculation provides the amount of sugar that has been fermented by the yeast, and therefore the amount of alcohol produced. This calculation is important for brewers, as it provides a quick and easy way to determine the ABV of a beer. In addition, the undefined FG can be used as a measure of the fermentation efficiency of the yeast, as a higher undefined FG indicates that more sugar has been fermented than a lower undefined FG. Understanding the undefined FG of a beer can help brewers make informed decisions about their brewing process and the quality of their beers.
Learn more about amount here
https://brainly.com/question/28970975
#SPJ4
Find the value of y
Answer:
y = 4
Step-by-step explanation:
The triangles are congruent.
8y = 6y + 8
2y = 8
y = 4
1) You went to the supermarket to buy 10 bananas. Each banana weighed 50 grams. If the price for bananas was $6.50 per kilogram, how much would you have to pay?
I need the answers ASAP!
You went to the supermarket to buy 10 bananas. Each banana weighed 50 grams. If the price for bananas was $6.50 per kilogram, how much would you have to pay?
You do 10 x 50 = 500 / Your bananas weigh 500g
$6.50 halved is $3.25 / So $3.25 for 500g
So your answer is $3.25
Hope this helps! :)
PLEASE HELPP!!! picture attached
Which diagram shows an obtuse scalene triangle?
Option D. is an obtuse scalene triangle in the given lists of diagrams.
What is obtuse scalene triangle?In terms of geometry, an obtuse scalene triangle is one in which one of the angles is less than 90 degrees and the other two are less than 180 degrees, with the one angle measuring greater than 90 degrees but less than 180 degrees. Measurement differences exist for each of the three sides and angles.
Both the obtuse triangle and the scalene triangle's characteristics are present in an obtuse scalene triangle. A scalene triangle has all three sides and angles that are of a different size, whereas an obtuse triangle only has one obtuse angle. The following are the characteristics of an obtuse scalene triangle:
Two of its angles are acute, while the other is obtuse.Measurement varies across all sides and angles.Three interior angles added together result in a 180° angle.Learn more about obtuse triangle
https://brainly.com/question/27100028
#SPJ1
Will give you brainlist
What are the two equations to set up to solve the equation?
|3x-2|=19
3x-2=
~QUESTION 2~
3|x+2|-7=14
x=_______
_____
~QUESTION 3~
-2|2x+3|+14(greater than and equal to symbol) -16
= < with line * < with line
The two equation to set up to solve the equation |3x - 2| = 19 are
3x - 2 = 193x - 2 = -19Question 2
x = 5 OR -9
Question 3
x ≥ 6 OR x ≥ -9
What is absolute value?Without taking direction into account, absolute value describes how far away from zero a certain number is on the number line.
A number can never have a negative absolute value.
How to write the absolute value equationThe equation is written in the form below
|3x - 2| = 19
removing the absolute value sign
3x - 2 = ± 19
the two equations are
3x - 2 = 19
3x - 2 = -19
Question 2
solving for x
3|x + 2| - 7 = 14
3|x + 2| = 14 + 7
3|x + 2| = 21
divide through by 3
|x + 2| = 7
removing the absolute value sign
x + 2 = ±7
solving for x for positive value
x + 2 = 7
x = 5
solving for the negative sign
x + 2 = -7
x = -9
Question 3
-2|2x+3| + 14 ≥ -16
-2|2x+3| ≥ -30
dividing through by -2
|2x+3| ≥ 15
2x+3 ≥ ±15
solving for the positive sign
2x+3 ≥ 15
x ≥ 6
solving for the negative sign
2x+3 ≤ -15
x ≥ -9
Learn more absolute values here:
https://brainly.com/question/29532815
#SPJ1
PLS HELP ASAP 50 POINTS!!!!
Triangle ABC is congruent to triangle PDF. Dude AC corresponds to what side in triangle PDF
Answer:
PF
Step-by-step explanation:
Since the triangles are congruent, meaning they are the same shape, we can just match the lines between the two triangles. In triangle ABC, the line AC is the hypotenuse of the triangle. So, we need to find the hypotenuse of the triangle PDF. Looking, we can see the hypotenuse of the triangle PDF is the line, or side, PF.
Hope this helped!
The ratio of the number of model cars that jim owns to the number of model cars Terrence owns is 8:6. Terrence owns 36 model cars
Part A
How many model cars does Jim own?
___
Part B
How will the ratio change if Jim and Terrence each sell ten of their model cars?
O The new ratio would stay the same
O The new ratio would be 4:3
O The new ratio would be 23:29
O The new ratio would be 19:13
When Jim's model car ownership is compared to Terrence's model car ownership, the ratio is 8:6, Jim possesses 48 model vehicles.
what is equation ?An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, according to the definition given by the term in its most basic form. When two terms are placed on each side of an equal sign, a simple equation is used to show their relationship. The four mathematical operations of addition, subtraction, multiplication, and division may be used singly or in combination in simple equations.
given
You are aware that Jim and Terrence both own four model automobiles in comparison to three owned by Jim.
Let's assume that Jim owns Jim has the following number of model cars, then you can answer the task as follows:
4/3 = x/36
x = (4* 36)/ 3
x = 48
Therefore, Jims owns 48 model cars.
To know more about equations visit :-
https://brainly.com/question/29657983
#SPJ1
write an equation that represents the relationship between x and y shown in the table
An equation that represents the relationship between x and y shown in the table is y = 1.5x.
How to write an equation?In order to write an equation that represents the relationship between x and y shown in the table, we would have to find the slope from the table and then write the required equation based on the data points by using the point-slope form.
Mathematically, the point-slope form of a line is given by this mathematical equation:
y - y₁ = m(x - x₁)
Where:
m represents the slope.x and y are the points.By substituting the given parameters into the point-slope formula, an equation for the data points contained in this table is given by;
y - y₁ = m(x - x₁)
y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
y - 21 = (96 - 21)/(64 - 14)(x - 14)
y - 21 = 75/50(x - 14)
y - 21 = 1.5(x - 14)
y = 1.5x - 21 + 21
y = 1.5x
Read more on slope here: brainly.com/question/23086745
#SPJ1
Answer the following as the website for my hwk says I am incorrect:
a) 6/24 as its simplest form (I put 1/4)
b) 52.491 to 2 decimal places (I put 52.49)
c)how many 0.125m drinking straws are needed for a bridge which is 0.85m long (I put both 6.8 and 7)
d) 756.985 × 45 - 14.325 ( I put 34,050)
Find the sum of the arithmetic series 22,33,44,55,…,605
Answer:
66
Step-by-step explanation:
a^5
Answer:
16 929
Step-by-step explanation:
a1 = 22 d = 11 a 54 = 605
Sum = 54 ( 22 + 605) /2 = 16 929
please help quickly
If UY=13p-1 and VX=20p-95 than what is UY
Viewing the given triangle, the information given helped to determine side UY to be 90
What are similar triangles?This is a term used in geometry to mean that the respective sides of the triangles are proportional and the corresponding angles of the triangles are congruent
Hence assuming the corresponding angles of the triangle are congruent then the side should be in proportions
Examining the figure shows that pair of equivalent sides are
WX and WY, XV and YU
The solution is worked out using sides WX and XV, WY and YU
WX / WY = XV / YU
WX / WY = 1/2 since it is a mid segment
1 / 2 = (20p - 95) / (13p - 1)
13p - 1 = 2 * (20p - 95)
13p - 1 = 40p - 190
190 - 1 = 40p - 13p
189 = 27p
p = 7
solving for UY
= 13p - 1
= 13 * 7 - 1
= 90
Learn more about similar triangles here:
https://brainly.com/question/29333623
#SPJ1
Samera placed the congruent sides of these two triangles together to form a quadrilateral.
2 triangles are connected at one side. One triangle has angles 25 degrees, 125 degrees, 30 degrees. The other triangle has angles 30 degrees, 60 degrees, and 90 degrees.
Which statements are true of the quadrilateral she constructed? Select three options.
It is a rectangle.
It is a trapezoid.
It has only one right angle.
It has two right angles.
It has two sides that are parallel.
The correct statements are It is a trapezoid, It has only one right angle, It has two sides that are parallel.
What is a trapezoid?A quadrilateral with at least one pair of parallel sides is called a trapezoid.
Given that, Samara placed the congruent sides of these two triangles together to form a quadrilateral.
2 triangles are connected at one side. One triangle has angles 25 degrees, 125 degrees, 30 degrees. The other triangle has angles 30 degrees, 60 degrees, and 90 degrees.
If we construct such quadrilateral, we will get a trapezoid with one angle a right angle.
Hence, the correct statements are It is a trapezoid, It has only one right angle, It has two sides that are parallel.
Learn more about trapezoid, click;
https://brainly.com/question/8643562
#SPJ1
Answers:
1. B its a trapezoid
2. D it has two right angles
3. E it has 2 sides that are parallel
Step-by-step explanation: