Answer: B) 1
=======================================================
Explanation:
I'm assuming you were given the list of points to be
{(2,8). (12,3).(c,4), (-1,8). (0,3}}
the x coordinates of each point are: 2, 12, c, -1 and 0
If c is equal to any of the other x coordinates (2, 12, -1, or 0), then this will mean we have a repeated x coordinate. In turn, this leads to us not having a function.
---------
Consider the case that c = 2.
This means that (2,8) and (2,4) are two points in this relation. The input x = 2 leads to multiple outputs y = 8 and y = 4 at the same time. A function is not possible here. A function is only possible if we have any given input lead to exactly one output only. So this is why c = 2 is not possible if we want a function. The same goes for the other x coordinates mentioned.
All of this means we can rule out choices A, C, and D
Choice B means that c = 1 and this x coordinate hasn't been mentioned yet. So this could be a value of c that leads to a function. This is why choice B is the final answer.
Which integer represents a gain of 10 yards on football a play?
The positive integer +10 represents a gain of 10 yards on the football play.
A gain of 10 yards on the football play signifies that a team has improved on their position in the game.
Assuming they started from 0 the are along the positive direction of the axis by 10 units or yards.
Hence the integer to represent this is given by +10 a positive integer of 10 units.
Integer examples include positive, negative, and zero. The word "integer" means "whole" or "intact" in Latin. As a result, integers do not contain fractions or decimals.
Neither negative numbers nor all whole numbers are regarded as integers. This indicates that when negative numbers are added to whole numbers, an assortment of integers is the outcome. A number without a decimal or fractional element is called an integer, and it can consist of both positive and negative integers, including zero.
To learn more about integer visit :
https://brainly.com/question/15276410
#SPJ9
how many revolutions will a car wheel of diameter 24 in. make as the car travels a distance of one mile? (round your answer to the nearest whole number.)
The car wheel will make approximately 840 revolutions as the car travels a distance of one mile.
To calculate the number of revolutions that a car wheel of diameter 24 in. will make as the car travels a distance of one mile, we need to use the formula:
number of revolutions = distance traveled / distance per revolution
The distance traveled is given in miles, and we need to convert the diameter of the wheel, given in inches, to the distance per revolution in miles.
The diameter of the wheel is 24 in., which means the radius is 12 in. The distance per revolution is equal to the circumference of the wheel, which is given by the formula:
circumference = 2 * pi * radius
Substituting the values, we get:
circumference = 2 * pi * 12 in. = 75.4 in.
To convert this to miles, we divide by 63,360 inches per mile:
distance per revolution = 75.4 in. / 63,360 in./mi = 0.00119 mi/rev
Now, we can calculate the number of revolutions as:
number of revolutions = 1 mi / 0.00119 mi/rev ≈ 840 revolutions
To learn more about revolutions click on,
https://brainly.com/question/4371139
#SPJ4
1. Luzcel real estate owns 8000 square meters of lot area and decides to construct two different styles of houses, B and C. The lot area of house B is 250 sq. m. and house C lot area is 200 sq. m. The construction engineer has a maximum of 6400 man-hours of labor for the construction. Let your variables be the number of units of house B and the number of units of house C to be constructed. a) Write an inequality which states that there are 8000 sq. m. of land available. b) A unit of house B requires 160 man-hour and a unit of house C requires 256 man-hour. Write an inequality that the engineer has at most 6400 man-hour available for construction. c) If material cost 600 thousand pesos for a unit of house B and 800 thousand for a unit of house C, write an inequality stating that the engineer has at least 12 million pesos to spend for materials. d) Labor cost 1.1 million pesos for constructing a unit of house B and 1.3 million pesos for constructing a unit of house C. If a unit of house B sells for 3.5 million and a unit of house C selis for 4 million, how many units of house B and house C should be constructed to obtain the maximum profit? Show the graph.
Inequality stating that there are 8000 sq. m. of land available: Let B be the number of units of house B and C be the number of units of house C.
Therefore,B+C ≤ 8000/200 [Reason: House C requires 200 sq. m. of land]⇒B+C ≤ 40b. Inequality that the engineer has at most 6400 man-hour available for construction:
160B + 256C ≤ 6400c
Inequality stating that the engineer has at least 12 million pesos to spend for materials:
600B + 800C ≤ 12000d
. Let us write down a table to calculate the cost, income and profit as follows:Units of house BLabor Hours per unit of house BUnits of house CLabor Hours per unit of house CTotal Labor HoursMaterial Cost per unit of house BMaterial Cost per unit of house CTotal Material CostIncome per unit of house BIncome per unit of house C
Total IncomeTotal ProfitBC=8000/200-B160CB+256C600000800000+256C12,000,0003,500,0004,000,0003,500,000B+C ≤ 40 160B + 256C ≤ 6400 600B + 800C ≤ 12000 Units of house B requires 160 man-hour and a unit of house C requires 256 man-hour.
To know more about number visit:
https://brainly.com/question/3589540
#SPJ11
HELP PLEASE I NEED TO PASS TEST!!!
Sam has a rectangular rug with an area of 48 square feet. The rug is 8 feet longer than it is wide. What is the width of the rug?
A. w = 4 feet
B. w = 12 feet
C. w = 8 feet
D. w = 6 feet
Answer:
B
Step-by-step explanation:
just use logic it really helps you have to think things through
Answer:
4 feet
Step-by-step explanation:
?+8=12
4+8=12
12*4=48
Making the answer 4 feet
Armando has $25 to spend. he wants to buy 2 pounds of hamburgers at $3 per pound, a bag of buns for $2, and 5 bags of chips for $4 each. Sort each statement into True or False.
Answer:
True- She needs $3 more. She will not have enough money to buy everything. The cost is $28.
False- She has $3 left over.
Step-by-step explanation:
2 pounds of burgers for $3 each is $6
1 bag o bun equals $2
5 bags of chips for $4 each is $20
$20 + $6 +$2 = $28
She only had $25 to spent, so she doesn't have enough money and needs to 3 more dollars.
uses
Katherine has 27 cups of yogurt to make smoothies. Each smoothie
1 cup of yogurt. What is the maximum number of smoothies that
Katherine can make with the yogurt?
Answer:
27 smoothies
Step-by-step explanation:
if you have 27 cups and one requires one cup, it would be 27 smoothies Katherine can make :)
a1 is fouled on an unsuccessful two-point shot attempt. a1 is injured on the play and cannot shoot the free throws. team a has seven eligible players on the bench. a1's free throws must be shot by:
When a player is fouled and injured on an unsuccessful two-point shot attempt, the opposing team's coach is responsible for choosing the replacement free throw shooter from the injured player's team bench. This ensures a fair and balanced game.
In basketball, when a player (A1) is fouled during an unsuccessful two-point shot attempt and is injured, the opposing team's coach selects the replacement free throw shooter from the seven eligible players on the bench. This rule ensures fairness in the game, as it prevents the injured player's team from gaining an advantage by choosing their best free throw shooter.
Since A1 is injured and cannot shoot the free throws, the opposing team's coach will pick a substitute from the seven available players on Team A's bench. This decision maintains a balance in the game, as it avoids giving Team A an unfair advantage by selecting their own substitute.
To know more about Basketball visit:
https://brainly.com/question/30841671
#SPJ11
Examples of geometric transformations can be found throughout the real world. Think about some places where you might use or se transformations. Give at least three examples for each type of transformation. Make use of the Internet, books, magazines, newspapers, and everyday life experiences to come up with your examples.
Geometric transformations can be found in everyday life, such as moving furniture (translation), opening a door (rotation), using mirrors (reflection), zooming in and out of maps (scaling), skewing images in Photoshop (shearing), and stretching a rubber band (stretching).
Here are some examples of different types of transformations and their applications:
Translation:
Moving furniture in a room
Moving a vehicle on a map
Shifting a picture on a wall
Rotation:
Swinging a pendulum
Turning a key in a lock
Opening a door
Reflection:
Mirrors reflecting images
Water reflections of a landscape
Reflective surfaces on cars and buildings
Scaling:
Enlarging or reducing a picture on a screen
Adjusting the size of a printout
Shearing:
Skewing an image in Photoshop
Tilting a picture frame on a wall
Slanting the roof of a building for better drainage
Stretching:
Stretching a rubber band
Stretching a balloon before inflating it
Stretching a canvas for painting
These are just a few examples of the many ways geometric transformations are used in our everyday lives. By understanding these concepts, we can appreciate the beauty and functionality of the world around us.
To know more about geometric transformations refer here:
https://brainly.com/question/29987040
#SPJ11
2+2-2+5x10= what is the right answer
Answer:
the answer is 52
Step-by-step explanation:
How to solve this first order linear differential equation?
To find first-order linear differential equations solution, we have to derive the general form or representation of the solution.
With the help of the steps shown below, we can learn how to solve the first-order differential equation.
1. Reorder the terms in the given equation so that they have the form \($\frac{dy}{dx}+Py=Q\) where P and Q are constants or functions of the independent variable x only.
2. Integrate P (obtained in step 1) with respect to x and then put this integral as a power of e to determine the integrating factor.
\($e^{\int P d x}\) = IF
3. The linear first-order differential equation's two sides should be multiplied by the IF.
4. The L.H.S of the equation is always a derivative of \($y \times M(x)$\) i.e. L.H.S \($= \frac{d(y \times I . F)}{dx}\)
\($d(y \times I . F) d x=Q \times I . F$\)
5. In order to arrive at the solution, we simply integrate both sides with respect to x in the last step.
Therefore \(y \times I . F=\int Q \times I . F d x+C$,\)
where C is some arbitrary constant
Similarly, we can also solve the other form of linear first-order differential equation \($\frac{dy}{dx}+Py=Q\) using the same steps.
P and Q are y's functions in this manner. We determine the solution, which will be, by using the integrating factor (I.F), which is
\($(x) \times(I . F)=\int Q \times I . F d y+c$\)
Now, to get a better insight into the linear differential equation, let us try solving some questions. where C is some arbitrary constant.
For more questions on differential equation
https://brainly.com/question/12423682
#SPJ4
Approximate the sum of the series correct to four decimal places.[infinity] (−1)n − 1n28nn = 1
The series is an alternating series that satisfies the conditions of the Alternating Series Test, so we know that the series converges. To approximate the sum of the series, we can use the formula for the remainder of an alternating series:
|Rn| ≤ a(n+1), where a(n+1) is the absolute value of the first term in the remainder.
In this case, the absolute value of the first term in the remainder is 1/(2*(n+1))^2. So we have:
|Rn| ≤ 1/(2*(n+1))^2 To approximate the sum of the series correct to four decimal places, we can find the smallest value of n such that the remainder is less than 0.0001: 1/(2*(n+1))^2 ≤ 0.0001 Solving for n, we get: n ≥ sqrt(500) - 0.5 ≈ 22.36
So, to approximate the sum of the series correct to four decimal places, we need to add up the first 23 terms of the series: S23 = (-1^1-1/2^8) + (-1^2-1/4^8) + (-1^3-1/6^8) + ... + (-1^23-1/46^8) Using a calculator or a computer program, we find that S23 ≈ 0.3342. Therefore, the sum of the series correct to four decimal places is approximately 0.3342.
For more information on calculator see:
https://brainly.com/question/30151794
#SPJ11
What whole number does 101.32 get rounded to?
Answer:
101.32 gets rounded to 101.
Why this is your answer:
101 is your answer because...
1. As we can see in the question, it says, "What whole number". That means, we have to see in the decimals in the number "101.32".
2. We can see that In the number "101.32", there is 32 as the decimal number, first we should look at the "tenths" number. Which is 3.
3. As you know, anything 4 and below, stays as it's own number, and 5 and higher, goes to the next whole number. Here, we have 3 as the "Tenths". And according to that rule... You think, what should we do?
4. As we saw that rule, we know that 3 is smaller than 4. That easily means that , The number will get rounded to the whole number it was.
Thanks!
HELP!!!!
Help me please !!!!
Answer:
I think the answer is C but i'm not an expert with this so sorry if you get it wrong :(
Step-by-step explanation:
Answer:
I think is c but I'm not really sure
Complete the square of the given quadratic expression. Then, graph the function using the technique of shifting. f(x) = x² + 8x Complete the square by entering the correct numbers into the expression
Rearrange the quadratic expression in standard form\(f(x) = x² + 8x = x² + 2(4)x\) Step 2:
Find the square of half of the coefficient of x, add it and subtract it from the quadratic expression\(f(x) = x² + 2(4)x + (4)² - (4)²f(x) = (x + 4)² - 16\)Now, the given quadratic expression is \(f(x) = (x + 4)² - 16.\)
Here, the vertex of the given quadratic equation is (-4, -16) and the quadratic expression opens upwards because the coefficient of x² is positive (1). To graph the function using the technique of shifting, we need to follow these given steps.
Plot the vertex of the parabola on the coordinate planeStep 2: Draw the axis of symmetry which passes through the vertex , Plot two more points on each side of the vertex by moving equidistant from the vertex in opposite directions and reflecting the coordinates.
To know more about expression visit:
https://brainly.com/question/28170201
#SPJ11
The kitchen of a house is of size 15ft x 12ft. Find the cost of tiling the wall at all sides 5 ft from the base at the rate of Rs. 120/sq ft.
Answer:
20400RS
Step-by-step explanation:
Given, Kitchen Size = 15ft * 12ft wall height to be tiled = 5 ft so area of focer walls
= 2* 15+2*5*12
= 150+120=170ft.
Rate is 120/ sq*ft here rate
= 120*170
= 20400RS
Caleb made a scale drawing of a neighborhood park. The scale of the drawing was
2 millimeters : 1 meter. In the drawing, the volleyball court is 36 millimeters long. What is
the length of the actual volleyball court?
meters
Answer:
2:1 =36mm: x m
2/1 = 36mm/ m......(Criss cross)
36mm x 1M/2mm = 18 Meter
imagine you have a dataset at the individual level that reports how much tv an individual watches per week. you want to combine this with a dataset (also at the individual level) that reports how much each individual sleeps per week. what command in stata would be the most useful
The command in Stata would be the most useful is reg when you want to combine this with a dataset that reports how much each individual sleeps per week.
A collection of data is known as a data set (or dataset). In the case of tabular data, a data set relates to one or more database tables, where each row refers to a specific record in the corresponding data set and each column to a specific variable. The data set includes values for each of the variables, such as the object's height and weight, for each set member. Data sets may also include a group of files or documents.
For data management, visualisation, statistics, and automated reporting, Stata is a general-purpose statistical software programme created by StataCorp. Researchers in a variety of disciplines, such as science, biomedicine, epidemiology, and sociology, use it.
Learn more about Dataset:
https://brainly.com/question/30320814
#SPJ4
You want to plant a flower garden in your yard so that you can make a beautiful bouquet to put on the alter at church for easter sunday services. there are two types of flowers that you are going to be planting. you will be planting some tulips and daffodils. at the store tulips come in packs of 4 and daffodils come in packs of 6. what is the least amount of packs of daffodils and tulips you would need to buy to have the same amount of each?
The least amount of packs of daffodils and tulips you would need to buy to have the same amount of each = 20.5 $
What is Total Amount?
Total refers to an entire or complete amount, and the verb "to total" means to combine two numbers or to destroy anything. In mathematics, you add integers to get the total; the outcome is the total. The result of adding 8 and 8 is 16.
Tulips come in packs of 4
And daffodils come in packs of 6.
To find Equal number of tulips & Daffodils we need to find LCM of 4 & 6
4 = 2 * 2
6 = 2 * 3
LCM = 2 * 2 * 3 = 12
12 Flower of each type
Packets of tulip = 12/4 = 3
Packets of Daffodils = 12/6 = 2
Total Packs = 3 + 2 = 5
The smallest number of packets of tulips and daffodils to purchase to get the same quantity of each is 5.
Each pack of tulips costs $3.50 and each pack of daffodils cost $5.75.
=> 3 * 3.5 + 2* 5.75
= 10.5 + 11.5
= 22 $
The sales tax is 6.5%.
=> Sales tax = (6.5/100)22 = 1.43$
Total price paid = 22 + 1.43 = 23.43 $
Discount coupon for $2.75 off before tax.
=> 22 - 2.75 = 19.25 $
Tax = (6.5/100)19.25 = 1.25 $
Total amount = 19.25 + 1.25 = 20.5 $
Money saved = 23.43 - 20.5 = 2.93 $
For detailed question see attachment
To learn more about Total Amount visit:
brainly.com/question/29066172
#SPJ4
Use two points to enter an equation for the function. Give your answer in the form a (b^x). In the event
that a = 1, give your answer in the form b^x.
Answer:
LOL i belive its 200 because i did this exact same thing yesterday for homework and got it right, good luck, i tried to give you the right answer so if its wrong then its the system!
Step-by-step explanation:
Shae will barrow $2400 at 13.5% ARP. She will pay it back over 2 years. What will her monthly payment be?
Shae's monthly payment will be approximately $114.63.
How to calculate Shae's monthly paymentFirst we can use the formula for the present value of an annuity:
P = (r * A) / (1 - (1 + r)^(-n))
where
P is the loan amount r is the monthly interest rate A is the monthly paymentn is the total number of payments (in this case, 2 years or 24 months)First, we need to convert the annual percentage rate (APR) to a monthly rate, which is done by dividing it by 12:
r = 13.5% / 12 = 0.01125
Next, we can plug in the values and solve for A:
2400 = (0.01125 * A) / (1 - (1 + 0.01125)^(-24))
Simplifying this equation, we get:
A = (0.01125 * 2400) / (1 - (1 + 0.01125)^(-24)) = 114.63
Therefore, Shae's monthly payment will be approximately $114.63.
Learn more about annual percentage rate here : brainly.com/question/28752423
#SPJ1
Lola bought x pencils that cost $0.25 each and y erasers that cost $0.50. She spent less than $3. Which graph represents lolas purchase
The graph that represents Lola's Purchase is as shown in the attached file.
How to interpret Inequality Graph?Lola bought x pencils that cost $0.25 and Y erasers that cost $0.50.
Total expenditure is less than $3.
Representing expense in the equation form gives us;
Expense on pencils + expense on erasers < 3
Thus;
0.25X + 0.50Y < 3
Dividing through by 0.25, we have;
X + 2Y < 12
This inequality when graphed, line will be plotted in dots and area below the line will be in the shaded form.
From the standard equation of line in slope intercept form, we can deduce that; Slope of this line is = (-1/2)
The correct graph is attached below.
Read more about Inequality Graphs at; https://brainly.com/question/11234618
#SPJ1
Rack heights vary from a few rack units to many rack units. The most common rack heights are 24U and 42U. How tall is a 24U rack?
As per the measurement the height of the 24U rack is 42 inches.
A rack height measurement refers to the size of the data center equipment that needs to be stored in a server rack.
The most common rack heights are 24U and 42U. These measurements refer to the number of units of 1.75 inches in height that can be accommodated in a server rack.
A 24U rack is 24 units of 1.75 inches high, so the total height of a 24U rack can be calculated by multiplying 24 by 1.75 inches.
Therefore, a 24U rack is 42 inches tall.
This is a standard height measurement for a server rack and is commonly used in data centers.
It is important to note that these measurements are standardized and refer to the size of the equipment that can be stored in the rack, not the actual physical dimensions of the rack itself.
So, when choosing a server rack, it is important to consider the height measurement in relation to the equipment that needs to be stored in it.
To know more about measurement here.
https://brainly.com/question/23816277
#SPJ4
Guys, Please Help me Fast
I will help u so fast, first
you help me
can u answer this
some fanicial and environmental damages that have been made by cars.
please help me
this is exam
teacher giving us 10 minutes to discuss about and I am in washroom of school writing this
Is how far from work do all the employees live a statistical question
Answer:
need more info sry
Step-by-step explanation:
78 is65% of why number
Answer: 120
Step-by-step explanation:
Question Four The Teaching Excellence and Library Department at Botho University carried out a survey to find out the time spent in the library by the university community. A random sample of 200 members was taken and the average time spent in the library was computed to be 30 minutes. From this case, find:
a) the population of interest (2 marks)
b) the sample (2 marks)
c) whether 30 minutes is a parameter or statistic, justify your answer. (2 marks)
MICROECONOMICS
(a)The population of interest is the entire university community at Botho University. (b)The sample is the random sample of 200 members. (c)The average time spent in the library, which is 30 minutes, is a statistic because it is computed from the sample and represents a characteristic of the sample, not the entire population.
a) The population of interest in this case would be the entire university community at Botho University. It includes all members of the university community who could potentially spend time in the library.
b) The sample in this case is the random sample of 200 members that was taken from the university community. It represents a subset of the population of interest and is used to make inferences about the larger population.
c) In this case, 30 minutes is a statistic, not a parameter.
A statistic is a value calculated from a sample that describes some characteristic of the sample. In this case, the average time spent in the library, which is 30 minutes, was computed from the sample of 200 members. It represents the average time spent in the library by the sampled members.
On the other hand, a parameter is a value that describes a characteristic of the population. Since the average time spent in the library is based on the sample and not the entire population, it cannot be considered a parameter.
To read more about population, visit:
https://brainly.com/question/30396931
#SPJ11
Mark each of the following graphs as (a) a function, but not one-to-one, (b) one-to-one function, or (c) not a function. In each case, explain how you know. (1 point each)
The graph is forming a function but it is not an one-one function.
If the vertical line test is satisfied, then the graph represents a function and a vertical line will cross it at most once.
If a horizontal line crosses the graph in no more than one spot, the function is one-to-one and passes the horizontal line test.
The graph in this case is made up of several horizontal, non-overlapping lines. It is a function and passes the vertical line test, however a horizontal line can cross the graph at any number of locations (is not one-to-one).
However, the graph is not a one-to-one function.
To know more about function, visit,
https://brainly.com/question/25638609
#SPJ4
a ladder is slipping down a vertical wall. if the ladder is 13 ft long and the top of it is slipping at the constant rate of 5 ft/s, how fast is the bottom of the ladder moving along the ground when the bottom is 5 ft from the wall?
The Speed of the bottom of the ladder moving along the ground will be: 1.33 ft/s
When the ladder is 13 ft long and the bottom is 8 ft from the wall then by Pythagoras' theorem we determine the height of the wall where the ladder touches.
Giving x= 13 ft. If the ladder is falling with a speed of 5 ft/s
This shows that the bottom of the ladder will travel from 8ft to 10 ft in 1.5 seconds. the speed to be:
v = S / t
v = 2 / 1.5
v = 1.33 ft/s
Learn more about constant rate here:
https://brainly.com/question/28940745
#SPJ1
The area of a semi circle is19.25 cm? Find its diameter.
The area of a semi circle is 19.25
We know that,
Area of semicircle = 1/2(πr²)
Therefore,
19.25 = 1/2 * 22/7 * r²
19.25 = 22/14 * r²
19.25 * 14/22 = r²
269.5/22 = r²
12.25 = r²
r = √12.25
r = 3.5 cm
Thus, The radius of the given semicircle is 3.5 cm
Therefore,
Diameter of the given circle = 2 * Radius
Diameter = 2 * 3.5 = 7 cm
Hence, The diameter of the given circle is 7 cm
what's 567x54 I really don't know