The linear function y = 3x is used to calculate the cost of 23 balloons as $69
Linear FunctionA linear function is a function that represents a straight line on the coordinate plane. For example, y = 3x - 2 represents a straight line on a coordinate plane and hence it represents a linear function. Since y can be replaced with f(x), this function can be written as f(x) = 3x - 2.
A linear function is of the form f(x) = mx + b where 'm' and 'b' are real numbers. Isn't it looking like the slope-intercept form of a line which is expressed as y = mx + b? Yes, this is because a linear function represents a line, i.e., its graph is a line. Here,
'm' is the slope of the line'b' is the y-intercept of the line'x' is the independent variable'y' (or f(x)) is the dependent variabley = 3x
x = number of balloons
The cost of 1 balloon = $3
the cost of 23 balloon = x
x = 23 * 3
x = 69
The cost of 23 balloon is $69
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Please help on this question
Answer:yes
Step-by-step explanation: 2/8=4
4/1=4 since both of them equal 4 they are equivalent
can someone please help me solve the systems by graphing?
The graphs for the given systems of linear equations are shown below.
From the graph, the solution to the first system is (8, -5)
From the graph, the solution to the second system is (-7, -6)
Graphing system of linear equationsFrom the question, we are to graph the given system of equations
The given system of equations is
y = 1/4x - 7
y = -1/2x - 1
First, we will plot the graph by using the x-intercepts and the y-intercepts of the lines
y = 1/4x - 7
Set y = 0 to determine the x-intercept
0 = 1/4x - 7
7 = 1/4x
x = 28
The x-intercept of the equation is 28
Set x = 0 to determine the y-intercept
y = 1/4(0) - 7
y = 0 - 7
y = -7
The y-intercept of the equation is -7
For y = -1/2x - 1
Set y = 0 to determine the x-intercept
0 = -1/2x - 1
1 = -1/2x
-x = 2
x = -2
The x-intercept of the equation is -2
Set x = 0 to determine the y-intercept
y = -1/2(0) - 1
y = 0 - 1
y = -1
The y-intercept of the equation is -1
Using the x-intercepts and y-intercepts, the graph of the system is shown below
For the second system of equations
y = 1/7x - 5
y = 8/7x + 2
For y = 1/7x - 5
Set y = 0 to determine the x-intercept
0 = 1/7x - 5
5 = 1/7x
x = 35
The x-intercept of the equation is 35
Set x = 0 to determine the y-intercept
y = 1/7(0) - 5
y = 0 - 5
y = -5
The y-intercept of the equation is -5
For y = 8/7x + 2
Set y = 0 to determine the x-intercept
0 = 8/7x + 2
-2 = 8/7x
8x = -14
x = -14/8
x = -7/4
The x-intercept of the equation is -7/4
Set x = 0 to determine the y-intercept
y = 8/7(0) + 2
y = 0 + 2
y = 2
The y-intercept of the equation is 2
Using the x-intercepts and y-intercepts, the graph of the system is shown below
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The population of a bee hive is growing with a monthly percentage rate compounded continuously. the population doubles in 3 months. find the monthly percentage rate according to the exponential growth function. leave your answer in terms of ln. note: when entering natural log in your answer, enter lowercase ln as "ln". there is no "natural log" button on the alta keyboard.
The exponential growth function's estimate of the monthly percentage rate is; log 3/ 3.
Explain the term exponential growth function?A function called exponential growth depicts an expansion within a population than happens at the same pace across time. If a population doubles or triples in size, you can assume that the data grows exponentially. Exponential decay is the inverse of exponential growth, in which data contracts rather than expands.We will employ the exponential function, as indicated, to determine the monthly percentage rate;
P(t) = P(0)e∧(rt)
The initial population is P0 for the bee hive.The end population will be 3P0 if the beginning population doubles in three months.Enter the following parameters into the calculation to obtain the rate "r".
P(t) = P(0)e∧(rt)
3P(0) = P(0)e∧(rt)
3 = e∧(rt)
Taking log both sides.
log 3 = (rt)
r = log 3 / 3
r = 0.366
r = 36.6%
Consequently, the exponential growth function's estimate of the monthly percentage rate compounded continuously is; log 3/ 3.
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Answer: the answer is ln(2)/3
Step-by-step explanation:
wyatt can husk at least 12 dozen ears of corn per hour and at most 18 dozen ears of corn per hour. based on this information, what is a possible amount of time, in hours, that it could take wyatt to husk 72 dozen ears of cor
The possible amount of time that it could take Wyatt to husk 72 dozen ears of corn is 4 to 6 hours.
What are time and work?
Time is the span of any action or work that occurs or is ongoing. Work is a task or series of activities carried out to accomplish a specific goal.
Given, Wyatt can husk anywhere from 12 to 18 dozen ears of corn per hour.
Thus, to find the time taken to husk 72 dozen ears of corn,
the maximum time = 72/12 =6 hours
And, the minimum time = 72/18 =4 hours
Thus, depending on his speed, Wyatt takes anywhere from 4 to 6 hours to husk 72 dozen ears of corn.
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help me solve this one! please.
thank u.
The required are of shaded region for the given question is 20.7 cm^2.
Explain sector of circle.A circle is partitioned into two areas, specifically the significant area, and the minor area. A bigger piece of the circle involved by the radii and the significant circular segment is supposed to be a significant area. A more modest part involved by two radii and a minor circular segment is known as the minor area.
According to question:We have,
∠BOC = 2π/5, radius = 6 cm, OA = 2 cm, DC = 2 cm
OD = 6 - 2 = 4 cm,
We know that
Area of triangle = OA×OD×sin(2π/5)/2
A = 2×4×0.475/2 = 1.9 sq. cm
And
Area of sector = (π/5)/2π ×πr^2
Area of sector = π(6)^2/5
Area of sector = 22.6 sq. cm
Area of shaded region = 22.6 - 1.9 = 20.7 sq. cm
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for the given scenario, determine the type of error that was made, if any. (hint: begin by determining the null and alternative hypotheses.) a new whitening toothpaste advertises four shades as the mean number of shades the toothpaste whitens your teeth. one user claims that the mean number of shades the toothpaste whitens your teeth is less than four shades. the user conducts a hypothesis test and fails to reject the null hypothesis. assume that in reality, the mean number of shades the toothpaste whitens your teeth is three shades. was an error made? if so, what type?
Yes there was an error made and it is a type II error
What is type i and ii error in Hypotheses testing?
A Type I mistake in statistics is a false positive finding, whereas a Type II error is a false negative finding.
The possibility of making these mistakes is inherent in hypothesis testing since making a statistical choice always entails some level of uncertainty.
The significance level, or alpha (), determines the likelihood of a Type I mistake, whereas beta () determines the likelihood of a Type II error. These dangers can be reduced by carefully designing the layout of your study.
Comparison of Type I and Type II errors
Considering your minor symptoms, you decide to get checked for COVID-19. There are two mistakes that could happen:
False positives of type I are when a test indicates you have a coronavirus when you don't.
False negative type II errors occur when the test results indicate that you don't have coronavirus but in fact you have.
The null and alternate hypotheses are provided below for the scenario:
H0: The average amount of tooth whitening achieved by toothpaste is four shades.
Ha: The average amount of colors your teeth lighten after using toothpaste is less than four.
H0: µ = 4
Ha: µ < 4
While we reject the null hypothesis when it is true, we made a type I error, according to the definition.
The failure to reject the null hypothesis when the null hypothesis is false is what is referred to as a type II error .
In the hypothetical situation, it is said that the average number of shades that toothpaste whitens teeth is three. This implies,
There are less than four hues. This proves that the null hypothesis is untrue.
This indicates that when the null hypothesis is false, we are unable to reject it.
It is a type II error as a result.
Yes, a type II error.
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2.66 as a fraction in simplest form
Answer:
133/50
Step-by-step explanation:
2.66 as a fraction in simplest form
(2.66 × 100)/100 =
266/100 =
133/50
-----------------
check
133 : 50 = 2.66
the answer is good
kal and kara solve this problem in two different ways. the perimeter of a rectangle is 4646 centimeters. its length is 88 centimeters. what is its width? use the drop-down menus to complete the sentences below.
If the perimeter of the rectangle is 4646 centimeters and its length is 88 centimeters then its width would be 2235 centimeters
What is meant by the term Perimeter?The perimeter of a form in geometry is defined as the entire length of its border. A shape's circumference is calculated by summing the lengths of all of its sides and edges. Its dimensions are expressed in linear units like centimeters, meters, inches, and feet.
In daily life, people constantly employ the idea of perimeter. For instance, we measure the perimeter of the area to be fenced in or decorated for Christmas to determine how much wire you will need.
We are aware that a regular polygon has equal-length sides.
A regular polygon's perimeter is equal to the product of all of its sides, which is equal to the quantity o sides times the length of a side.
How to solve?
width = 4646 - 2*88 =4470
width of one side = 4470/2 = 2235 centimeters
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Linda kept track of her times in the 50-meter freestyle at her team's swim meets.
Distance = 50 meters
Slowest means, longest time =58 seconds
Speed is equal to distance divided by time:
Speed = 50/58
=25/29 m/s
=0.86m/s which is the answer.
Linda kept track of her times in the 50-meter freestyle at her team's swim meets. Swim times (sec.) H 40 44 48 52 56 60 What was Linda's slowest time in the 50-meter freestyle? 60 seconds 52 seconds 56 seconds 58 seconds
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Given the equation, y=3x, complete the table of values
x (input)
y (output)
-2
-1
0
1
2
Answer:
To find the answers you just need to multiply each value by 3. This is as we are given the information that y is equal to 3x. If we know this and we know the values of x we can easily work out the output (y)!!
-2 = 3 x -2 = -6-1 = 3 x -1 = -30 = 3 x 0 = 01 = 3 x 1 = 32 = 3 x 2 = 6We can also see a pattern of +3 going upwards!!
Hope this helps, have a great day!
Keilantra runs a farm stand that sells strawberries and blueberries. Each pound of strawberries sells for $2. 25 and each pound of blueberries sells for $4. Keilantra made $204. 50 from selling a total of 73 pounds of strawberries and blueberries. Determine the number of pounds of strawberries sold and the number of pounds of blueberries sold.
There were 50 pounds of strawberries and 23 pounds of blueberries sold by Keilantra.
Given,
The cost of 1 pound of strawberry = 2.25
The cost of 1 pound of blueberry = 4
Total cost made by Keilantra = 204.50
The quantity of strawberry sold = x
The quantity of blueberry sold = y
Total quantity of berries sold = 73 pounds
We have to find the quantity of strawberries and blueberries sold:
Here,
2.25x + 4y = 204.50 and x + y = 73
Then,
x + y = 73
x = 73 - y
Substitute this in; 2.25x + 4y = 204.50
That is,
2.25 × (73 - y) + 4y = 204.50
(2.25 x 73) - 2.25y + 4y = 204.50
164.25 + 1.75y = 204.50
1.75y = 204.50 - 164.25
y = 40.25/1.75
y = 23
Then,
x + 23 = 73
x = 73 - 23 = 50
Therefore The quantity of strawberries and blueberries sold by Keilantra is 50 pounds and 23 pounds.
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Distribute to create an equivalent expression with the fewest symbols possible. 6(5x−3)=
Answer:
30x-18
Step-by-step explanation:
in 2019 i sold 105 276 tickets. this is 7% less than the number of tickets i sold in 2018."" (a) how many tickets did airon sell in 2018
The total number of tickets sold in the year 2018 was 113,200.
Explain the term percentage decrease?The difference among starting and final numbers is the percentage drop. It displays a percentage loss of value compared to the original regardless of the units. The difference between the initial and final amounts is the amount of decline.For the stated question-
Total tickets sold in 2019 = 105,276
Let the tickets sole in 2018 be 'x'.
Then, percentage decrease in the year 2019 be-
x - 7% of x = 105,276
x - 7x/100 = 105,276
93x/100 = 105,276
x = 105,276 x 100 / 93
x = 113,200
Thus, the total number of tickets sold in the year 2018 was 113,200.
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4.
Raquel scored an
80% on her science
test. If she got 20
questions correct,
how many
questions were on
the test?
5.
Answer:
25
Step-by-step explanation:
knowing that 80 is 4/5 of 100, we need to find the number that is 5/4 of 20. That number is 25. This can be proven by calculating that 20/25 and 80/100 both can be simplified to 4/5.
Mr. Brown is making a total of n wooden frames. If he has made two-thirds of them so far, what would be an expression to represent the number of frames he has left to make?
An expression that would represent the number of frames he has left for him to make would be = X = n - ⅔.
What is a fraction?A fraction is an expression that is used to represent the part of a whole structure or an object such as the wooden frame.
The total number of wooden frames to be made= n.
The number of frames that Mr. Brown has made= ⅔
The number that is left to be made = X
But, n = ⅔ + X
To find X, make X the subject of formula;
X = n - ⅔.
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Give an example of a function that is a dilation and a reflection of the parent function.
Answer: f(x) = -1/2(x+3)
Example: g(x) = -1/2(-x-3)
This function is a dilation and a reflection of the parent function f(x) because when graphed, the two functions have the same shape but are reflected over the y-axis and are half the size of the original.
alice walks from the top to the bottom of an escalator that is moving up and counts 150 steps. her friend, bob, walks from the bottom to the top of the escalator and counts 75 steps. if alice's walking speed (in steps per unit of time) is three times bob's walking speed, how many steps are visible on the escalator at a given time? (assume that this value is constant.)
Based on the information provided, it can be determined that there are 120 steps visible on the escalator at any given time.
Assume that there are x total steps, e for the escalator speed, and b for Bob's pace.
Bob noticed 75 stairs and climbed the entire escalator in the time it took him to ascend it. As a result, the escalator must have added an extra x + 75 steps.
Let e and b be the speeds of the escalator and Bob, respectively.
Alice took 150 steps at a speed of (3b-e) step rate as she descended the stairs.
Bob took 75 steps at a speed of (b+e) each step as he ascended.
Since, Al and Bob were walking the same distance at a time , we have,
150(3b-e) = 75(b+e)
Solving these two equation we get , e/b = 3/5
Thus while Bob took 75 steps to go up, the escalator contributed an extra
3/5 * 75 = 45 steps
Finally, there is a total of 75+45=120 steps in the length of the escalator.
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what is 14 = h/5 ive tried and tried...its still incorrect
Answer: h = 70
Step-by-step explanation: We just need to take 14 timed 5 and we will get h.
14 = h/5 because it is divided so to get rid of it we multiply by 5
70=h
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Mihir has 14,203 beads. He uses 36 beads to
make one necklace. How many necklaces can
he make?
Answer:
394
Step-by-step explanation:
because 14,203 divided by 36 is 394.527777778 but the complete number of necklaces he can make is 394.
why is it inportant to use the order of operations to evaluate algebracic expressions
Answer:
To get the correct answer.If it isnt followed you will get a number/answer but that is incorrect
a measurement of how well a child can do certain tasks at a certain time in comparison to other children is a(n) test.
A(n) IQ test evaluates a child's performance in relation to other kids in terms of how well they can perform specific activities at a specific time.
Each individual IQ exam is made up of a number of smaller questions, and no reading nor writing are required. Some verbal subtests consist of spoken questions with no set time restriction. Other subtests are frequently timed and typically have a visual or spatial focus. It takes one to two hours to give the exam.
115 to 129: Superior or intelligent. 130 through 144: Fairly talented. From 145 through 159: Very talented. Exceptionally talented from 160 to 179.
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Write the slope-intercept form of the line
y=2x/3-2 is the required slope-intercept form of the line
The coordinate of points where the line intersects at the x-axis is (-3,0) and at the y-axis is (0,-2) now from there two points we can find slope if line that is
slope=y₂-y₁/x₂-x₁=(-2-0)/(0-(-3))
slope =-2/3
with one point (0,-2) and slope we can find the slope-intercept form that is y=mx+c
where m is slope and c is intercept on the y-axis
y=2x/3-2 this is the slope-intercept form and by simplifying it we get
3y=2x-6
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create a class to calculate the areas of differents geometrical shapes, the shapes are square, rectangal, triangle. class should methods name area,
Creation of class to calculate the areas of different geometrical shapes requires to use certain rules which are mentioned in detail here.
How to name a Class?Developers frequently encounter naming issues. I lost count of the number of hours I've spent considering what to name things and the amount of time it took me to decipher code that had inappropriate names. Whether it was an object, methods, class, or something else is irrelevant. Given that we spend more time reading code than developing it, effective naming is usually beneficial in the long run.
Your code becomes better and cleaner when you use excellent names. It aids in helping you recognize the functions of each piece of code intuitively. It makes your application easier to read in the future by other developers as well as yourself.
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The following data values represent the daily amount spent by a family during a 7 day summer vacation. Find the sample standard deviation of this dataset: $96, $125, $80,$110, $75, $100,8121 Round the final answer to one decimal place. . Provide your answer below std
The sample standard deviation of the following dataset is dev = $22.4 : $96, $125, $80,$110, $75, $100,8121.
The square root of the variance of a random variable, sample, mean ,statistical population, data set, or probability distribution is that variable's standard deviation. Although less robust in practice, it is algebraically simpler than the average absolute deviation.The fact that the standard deviation is expressed in the same unit as the data, as opposed to the variance, is a useful characteristic of the statistic.
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Avery is signing up for a gym membership with a one-time fee to join and then a monthly fee to remain a member. The total cost of the gym membership over tt months is given by the equation C=40t+150.C=40t+150. What is the slope of the equation and what is its interpretation in the context of the problem?
The slope of line C = 40t+150 will be 40.
What is equation straight line?
Y = mx + c is the general equation for a straight line, where m denotes the line's slope and c the y-intercept. It is the version of the equation for a straight line that is used most frequently in geometry. There are numerous ways to express the equation of a straight line, including point-slope form, slope-intercept form, general form, standard form, etc. A straight line is a geometric object with two dimensions and infinite lengths at both ends. The formulas for the equation of a straight line that are most frequently employed are y = mx + c and axe + by = c. Other versions include point-slope, slope-intercept, standard, general, and others.
The total cost of the gym membership over tt months is given by the equation C=40t+150
The slope of the given equation will be the append of t which is 40.
Hence, the question indicates that the starting value is 150 already without eve before the time stated.
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What’s the difference between factoring x4+9x2+8 and factoring x2+9x+8?
Answer:
The difference between factoring x4+9x2+8 and factoring x2+9x+8 is that the first equation is a fourth degree polynomial, while the second equation is a second degree polynomial. The first equation can be factored into (x2 + 3)(x2 + 8), while the second equation can be factored into (x + 8)(x + 1).
Joan's nursery specializes in custom-designed landscaping for residential areas. The estimated labor cost associated with a particular landscaping proposal is based on the number of plantings of trees, shrubs, and so on to be used for the project. For cost-estimating purposes, managers use two hours of labor time for the planting of a medium-sized tree. Actual times from a sample of 10 plantings during the past month follow (times in hours).
The average sample of 10 plantings tree-planting time is two hours- P-value = 0.251453
The estimated labor cost associated with a particular landscaping proposal is based on the number of plantings of trees, shrubs, and so on to be used for the project-P-value = 0.251453
We are unable to reject the null hypothesis and accept it because the p value is higher than the significance level.
As a result, we draw the conclusion that the average tree-planting time is two hours.
Hypothesis:
In statistics, hypothesis testing is used to identify the variance in the group of data that results from genuine variation. Based on the presumptions, the sample data are taken from the population parameter. The hypothesis can be divided into many categories. A hypothesis is described in statistics as a formal statement that explains the relationship between two or more variables belonging to the specified population. It aids the researcher in converting the stated issue into an understandable justification for the study's findings. It provides examples of various experimental designs and guides the investigation of the research procedure.
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I need help pls!!!!!!!!!!!!!!!!!!
Answer:
First line: First box:1 Second box: 5
Second line: First box: 20 Second box: 15 Third box: 5
Step-by-step explanation:
This is two ways to do the same problem.
5(4-3) The first problem. We are subtracting the numbers in the parentheses and then multiplying that by 5
5(1) = 5
The second way to solve this is by using the distributive property. We are multiplying 5 by both numbers in the parentheses and then subtracting those two numbers
5(4-3)
5(4) - 5(3)
20 - 15
5
Find an equation in standard form for the ellipse graphed below.
The equation of the ellipse in the graph, with center at (0, 0), and semi major and minor axis of 3 and 2 can be presented as follows;
[tex]\dfrac{x^2}{2^2} +\dfrac{y^2}{3^2 } = 1[/tex]
What is the locus of an ellipse?An ellipse is the locus of a point that moves such that the sum of the distance from two points is constant.
The standard form of the equation of an ellipse can be presented as follows;
[tex]\dfrac{(x - h)^2}{b^2} + \dfrac{(y - k)^2}{a^2} = 1[/tex]
Where;
(h, k) = The coordinates of the center of the ellipse
a = The semi major axis
b = The semi minor axis
From the attached graph the coordinates of the center of the ellipse is; (0, 0)
The semi major axis, a = 3
The semi minor axis, b = 2
Therefore;
[tex]\dfrac{(x - 0)^2}{2^2} + \dfrac{(y - 0)^2}{3^2} = 1[/tex]
The equation of the ellipse in standard form is therefore;
[tex]\dfrac{x^2}{2^2} + \dfrac{y ^2}{3^2} = 1[/tex]
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shelby was asked to determine the number of packages that can be wrapped with 12 feet of ribbon if it takes a half of a foot to wrap one package.
The number of packages that can be wrapped with 12 feet of ribbon is 24.
Explain the term unitary method?The unitary approach is a strategy for problem-solving that involves first obtaining the value of a specific unit, then multiplying that value to determine the required value.The unitary approach includes determining the value of a single unit, from which we can calculate the values of the appropriate number of units.For the stated question.
Total length of the ribbon = 12 feet.
Ribbon required to wrap a one box = 1/2 foot.
Number of boxes = Total length / required ribbon for one box
Number of boxes = 12/ (1/2)
Number of boxes = 12 x 2
Number of boxes = 24
Thus, the number of packages that can be wrapped with 12 feet of ribbon is 24.
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