0.123 < 2 > 0.1002, is the true statement after inserting symbols.
What is greater than symbol refer?
In mathematics, the larger than sign is used between two numbers to indicate that the first number is greater than the second. For instance, 10 > 5. 10 is more than 5 in this case.The greater than symbol, which consists of two strokes of equal length joined at an acute angle at the right, is always pointed toward the greater value in inequality. ( >).What is lesser than symbol refer?
In a situation when one number is less than another, a less than symbol is positioned between the two numbersWhen referring to an inequality, the less than symbol () represents the smaller value where two strokes of equal length meet at a sharp angle on the left.The reader may easily understand the message thanks to the larger than less than sign, which also decreases the time complexity.What is equal to symbol refer?
The "equal to" symbol is used to indicate that two numbers or values are equal. The greater than and less than signs are in conflict with this one. We employ the equal to symbol even while writing equations. '=' is used to indicate it.Hence, 0.123 < 2 > 0.1002, is the true statement after inserting symbols.
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Help pls
2 Answers and I can make brainliest whoever has the correct answer
Check the picture below.
so if we look at those dimensions in centimeters, let's get the area of the cross-section, keeping in mind the volume of the bar is simply the area of the cross-section times the length.
[tex]\stackrel{\textit{\Large area of the cross-section}}{(2)(15)cm^2~~ + ~~(2)(15)cm^2~~ + ~~(8)(2)cm^2\implies 76~cm^2} \\\\\\ \stackrel{\textit{\LARGE bar's volume}}{76cm^2\cdot 120cm\implies 9120~cm^3}[/tex]
now, we know the density of the metal for the bar is 8 g/cm³, so let's do a quick conversion for the whole bar
[tex]\begin{array}{ccll} grams&cm^3\\ \cline{1-2} 8 & 1\\ g& 9120 \end{array} \implies \cfrac{8}{g}~~=~~\cfrac{1}{9120}\implies 72960=g\implies 72.960Kg[/tex]
so if one bar has 72.960 Kg, how many bars are there in 250Kg?
[tex]\begin{array}{ccll} bars&Kg\\ \cline{1-2} 1 & 72.960\\ b& 250 \end{array} \implies \cfrac{1}{b}~~=~~\cfrac{72.960}{250} \\\\\\ 250=72.96b\implies \cfrac{250}{72.96}=b\implies 3.43\approx b\qquad \textit{so only \underline{three whole bars}}[/tex]
What is the slope of 6x+4y=12
Answer:
the slope (m) would be 3/2
Step-by-step explanation:
6x−4y=12
Rewrite in slope-intercept form.
y=3/2x−3
Using the slope-intercept form, the slope is 3/2
m=3/2
c) (f + a)(ƒ +9) (f - 4) = f³ +7f²-26f - 72
Without fully expanding the brackets. Find a
Answer:
a = 2
Step-by-step explanation:
the constant terms inside the factors will multiply to give the constant term of the expansion, that is
a × 9 × - 4 = - 72
- 36a = - 72 ( divide both sides by - 36 )
a = 2
The manager of Best Bakery finds it costs $3000 to make 500 apple pies a week or $2300 to make 325 apple pies a week.
The cheaper cost that should be chosen is $3000 to make 500 apple pies a week.
How to calculate the value?From the information, the manager of Best Bakery finds it costs $3000 to make 500 apple pies a week. The cost per pie will be:
= Total amount / Number of pie
= $3000 / 500
= $6
Also, it cost $2300 to make 325 apple pies a week. The cost per apple pie will be:
= $2300 / 325
= $7.08
Therefore, the cheaper option is $3000 to make 500 apple pies a week.
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Complete question
The manager of Best Bakery finds it costs $3000 to make 500 apple pies a week or $2300 to make 325 apple pies a week. Which is cheaper?
Babe Ruth, professionl bseball player known for hitting home runs, had a batting average of 0.342. Hank Aaron, another record home urn hitter, had a batting average of 0.305 . How much greater was Babe Ruth's batting avarage that Hank Aaron's ?
Babe Ruth's batting average is 0.037 more than that of Hank Aaron's
From the question, we have
difference = 0.342-0.305
=0.037
Babe Ruth's batting average is 0.037 more than that of Hank Aaron's
Subtraction:
Subtraction serves as a representation for the act of removing items from a collection. The negative symbol stands for subtraction. For example, if four of the nine oranges that are stacked together (as in the above illustration) are then transported to a basket, the stack will now contain five oranges rather than nine. Therefore, the difference between 9 and 4 is 5, which equals 9 minus 4. In addition to applying it to natural numbers, subtraction can also be used with other kinds of numbers. The letter "-" represents subtraction. Minuend, subtrahend, and difference are the three numerical components that make up the subtraction operation.
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1. the best point estimate for the population mean is the sample mean. 2. as the length of a confidence interval increases, the degree of confidence in its actually containing the population parameter being estimated (confidence level) also increases. 3. if the length of a confidence interval is very large, then the corresponding prediction is very meaningful. 4. a 90% confidence interval for a population mean implies that there is a 0.90 probability that the true population mean will be contained in the confidence interval. 5. a 90% confidence interval for a population parameter means that if a large number of confidence intervals were constructed from repeated samples, then on average, 90% of these intervals would contain the true parameter. 6. the point estimate of a population parameter is always at the center of the confidence interval for the parameter. 7. when repeated samples are selected from a population, the point estimate for a given parameter will always be the same value. 8. the larger the level of confidence, the shorter the confidence interval.
The solutions for all the given statements are,
1. True, 2. True, 3. False, 4. True, 5. True, 6. True, 7. False, 8. False
Given statements and their conclusions;
1. The best point estimate for the population mean is the sample mean.
→ True, since the central limit theorem states that the sample mean corresponds to the population mean.
2. The level of confidence that a confidence interval contains the population parameter being estimated increases as its length does (confidence level).
→ True, when the CI widens, our confidence grows as well since we are more certain that the true mean (or another statistic) will fall inside the range.
3. If a confidence interval is very long, it means that the corresponding prediction is highly significant.
→ False, as the length increases, the confidence interval's range similarly expands, giving the correct point estimate a wider range of possible values.
4. A 90% confidence interval for a population mean implies that there is a 0.90 probability that the true population means will be contained in the confidence interval.
→ True, a 90% CI means that we are 90% confident that the range of the confidence interval contains the true value of the mean.
5. A 90% confidence interval for a population parameter means that if a large number of confidence intervals were constructed from repeated samples, then on average, 90% of these intervals would contain the true parameter.
→ True, 90% of the values attains positive values.
6.A population parameter's point estimate is always in the middle of the parameter's confidence interval.
→ It is true that the sample statistic, such as a sample mean or sample proportion, is at the center of a confidence interval. The point estimate is what is used here. The margin of error determines the width of the confidence interval.
7. A population's point estimate for a particular parameter will always be the same when repeated samples are taken from it.
→ False.
8. The larger the level of confidence, the shorter the confidence interval.
→ False, an increase in the margin of error follows an increase in the level of confidence. A broader confidence interval is produced by a higher margin of error.
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Graph XY with endpoints X(-3, 1) and Y(4, 5) and its
image after the composition.
Rotation: 180° about the origin
Translation: (x, y)→(x-1, y + 1)
Write a coordinate rule for the composition.
(x, y)→
A coordinate rule for the composition.is
(x, y) → (-x - 1, -y + 1)
The new coordinate is
X' (2, 0) Y' (-5, -4)
How to write a coordinate ruleThe transformation rule for rotation 180° about the origin is
(x, y) → (-x, -y)
the translation rule given is (x, y) → (x - 1, y + 1)
Merging the translation and the rotation
(x, y) → (-x, -y) → (-x - 1, -y + 1)
Applying the rule gives
X(-3, 1) → (- -3 - 1, -1 + 1) → (2, 0)
Y(4, 5) → (-4 - 1, -5 + 1) → (-5, -4)
The graph is attached
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how do i do these?
i'm having trouble figuring out which is x and which is y.
Answer:
X is horizontal axis, Y is vertical axis
Step-by-step explanation:
(x,y) in the notation
4.5 x 10 power of -6 in standard notation
Answer: 0.0000045
Step-by-step explanation:
Since it is -6, you move it to the right and add 6 zeros and take off the decimal between the 4 and the 5
Hope that helps you! :)
Please help asap algebra 1
The relative frequency for the table given will be
Can drive Can't drive Rows total
Likes to fly. 0.32. 0.38. 0.70
Don't like to fly. 0.13. 0.17. 0.30
Column total 0.45. 0.55 1.00
How to calculate the value?From the information given, it should be noted that the values will be calculated by subtracting the values that are given.
Those that likes to fly but cannot drive will be:
= 0.70 - 0.32
= 0.38
Those that do not like to fly will be:
= 0.45 - 0.32
= 0.13
The row total for do not like to fly will be:
= 1.00 - 0.70
= 0.30
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P+3Q /Q-3P=x/y make Q the subject of the formula
[tex] \frac{p + 3q}{q - 3p} = \frac{x}{y} [/tex]
Please write a linear equation that passes through (5,2) and (6,4)!
[tex](\stackrel{x_1}{5}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{4}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{4}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{5}}} \implies \cfrac{ 2 }{ 1 } \implies 2[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{ 2}(x-\stackrel{x_1}{5}) \\\\\\ y-2=2x-10\implies {\Large \begin{array}{llll} y=2x-8 \end{array}}[/tex]
wo cars leave the same parking lot, with
one heading north and the other heading
east? After several minutes, the eastbound
car traveled 2 kilometers. If the two cars
are now a straight-line distance of 9
kilometers apart, how far has the
northbound car traveled? If necessary,
round to the nearest tenth.
The distance traveled by a northland car is 8.7 km if two cars leave the same parking lot, with one heading north and the other heading east.
What is the Pythagoras theorem?The square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.
It is given that:
Two cars leave the same parking lot, with one heading north and the other heading east.
From the data given in the question:
Hypotenuse = 9 km
Base = 2 km
The distance traveled northland car = √(9² - 2²)
The distance traveled northland car = √(81 - 4)
The distance traveled by northland car = √77 km
The distance traveled by northland car = 8.7 km
Thus, the distance traveled by a northland car is 8.7 km if two cars leave the same parking lot, with one heading north and the other heading east.
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18. Construction workers will test to see if two walls meet at a right angle by using a 3-4-5
Pythagorean triple or a multiple of this triple. Two walls meet as shown below and a worker
marks a point on each wall with an %.
(a) If these walls met at a right angle, how much
distance should be between the two marked
points?
12 ft
19.5 ft
16 ft
Find the sum if it exists of the infinite geometric series related to the infinite geometric sequence described by an=12(0.2)^n-1
The sum of the infinite geometric sequence exists and is equal to 15.
We are given an expression for terms in a geometric progression. The term at position "n" is given by the following formula.
T(n) = 12(0.2)^(n - 1)
The general representation for the terms in a geometric sequence is given by : T(n) = a*r^(n - 1).
Here, the variables "a" and "r" represent the first term and the common ratio for the geometric progression. On comparing the given formula with the standard representation, we conclude that the first term of the given geometric progression is 12 and the common ratio is 0.2.
a = 12
r = 0.2
The sum of an infinite geometric sequence exists if the common ratio lies between -1 and 1.
-1 < r < 1
-1 < 0.2 < 1
The above inequality holds true, so the sum exists. Let the sum of the infinite geometric sequence be denoted by "S". The formula and calculations are below.
S = a/(1 - r)
S = 12(1 - 0.2)
S = 12/0.8
S = 15
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A simple random sample of 60 items resulted in a sample mean of 25. The population standard deviation is o = 7. (Round your answers to two decimal places.) (a) What is the standard error of the mean, 0-? (b) At 95% confidence, what is the margin of error?
a) The standard error of the mean is 0.90
b) The marginal error is 1.76
Given,
Number of samples in the population, n = 60
Sample mean of the population, μ = 25
Standard deviation of the population, σ = 7
We have to find the standard error of the mean and the margin of error at 95% confidence.
Here,
a) The standard error of the mean = Standard deviation / root of sample
= σ / √n
= 7/√60
= 0.90
b) The margin error;
Zₐ/₂ × σ / √n
= Zₐ/₂ × 7/√60
= 1.96 × 0.90
= 1.76
Therefore,
a) The standard error of the mean is 0.90
b) The marginal error is 1.76
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pls help
In a set of eight consecutive integers, the smallest integer is more than $\frac35$ of the largest integer. What is the smallest possible value of the sum of the eight integers?
The smallest possible value of the sum of the eight integers is given by:
116.
What are the integers?The eight integers in the problem are given as follows:
n, ..., n + 7.
Hence:
The smallest integer is of n.The largest integer is of n + 7.The smallest integer is more than 3/5 of the largest integer, hence the following inequality is built to relate them:
n > 3/5(n + 7)
Applying the distributive property on the right side, we have that:
n > 0.6n + 4.2.
0.4n > 4.2
n > 4.2/0.4
n > 10.5.
Hence the integers are:
11, 12, 13, 14, 15, 16, 17, 18.
(as 11 is the smallest integer possible).
Then the value of the sum is obtained as follows:
11 + 12 + 13 + 14 + 15 + 16 + 17 + 18 = 116.
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Find x, y and z. I really need help!
Answer:
x = 74°y = 37°z = 25°Step-by-step explanation:
x° and 106° are same side interior angles, meaning they're supplementary and adds up to 180°. Therefore, you can find the value of x by:
[tex]x+106=180\\\\x=180-106=74[/tex]
x° and 2y° are corresponding angles, meaning they're equal. Therefore, you can find the value of y by:
[tex]x=2y\\\\2y=74\\\\y=\frac{74}{2} =37[/tex]
(4z + 6)° and the angle adjacent to x° are corresponding angles, meaning they're equal. Therefore, you can find the value of z by:
[tex]4z+6=180-x\\\\4z=180-74-6\\\\4z=100\\\\z=\frac{100}{4} =25[/tex]
Malik took a survey to find out how many students in his school have a pet. There are 628 students in the school. 50% of them have a pet. How many students in Malik's school have a pet?
Step-by-step explanation:
628x50/100 = 314
Answer: 314 students have a pet
Step-by-step explanation: 628 divided by 2 = 314
(PLEASE HELP FAST) A 9-member team plans to run a 4-mile relay race. Distance markers are placed on the racecourse every 0.25 mile. Will any of the relay exchanges take place at any of the 0.25-mile markers? If so, which one(s)? List the locations of all of the exchanges in decimal form.
No there will be no relay exchange in any of the 0.25-mile markers
the exchanges are
0.44440.88891.33331.77782.22222.66673.11113.55564Further explanation of the exchanges are treatedIn a 4 mile race the exchanges are made equal by the number of the team members
therefore the exchanges will be at interval of 4/9 and repetitive addition give other points and the list are
4/9, 8/9, 4/3, 16/9, 20/9, 8/3, 20/9, 32/9, and 4
In decimal form this will be listed in four decimal place
0.4444
0.8889
1.3333
1.7778
2.2222
2.6667
3.1111
3.5556
4
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quadratic function
y = 5x² + 2x + 4
have one, two or no real zeros?
Utilize the quadratic formula to
determine the answer.
[?] real zeros
As the discriminant is negative the Quadratic equation has no real zeros.
Determining Zeroes of Quadratic Equation:The formula of discriminant is used to find the number of solutions or zeros that a quadratic equation has. In algebra, the discriminant is the name that is given to the expression which is in under the square root in the quadratic formula.
The formula for discriminant is given by
Discriminant Δ = b²- 4ac
Here we have
Quadratic function, y = 5x² + 2x + 4
compare the given equation with ax²+bx+c = 0
=> a = 5, b = 2 and c = 4
Now find the discriminant of the equation
As we know
Discriminant Δ = b²- 4ac⇒ Discriminant Δ = (2)² - 4(5)(4)
= 4 - 80
= - 76
Since the discriminant of the equation is negative then the given quadratic equation has no real zeros
Therefore
As the discriminant is negative the Quadratic equation has no real zeros
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what is 7 times [(7+7)divided by 7
Answer: 14
Step-by-step explanation: do the parentheses first, 7+7 is 14, multiply by 7 to get 98 divide by 7 to get 14
Answer:
14
Step-by-step explanation:
bc 7x7 us 49 and u divided by 7 your answers is going to be 14
7j+5−8k when j = 0.5 and k = 0.25
Answer:6.5
Step-by-step explanation:
Here j = 0.5 and k = 0.25
7j+5-8k
= 7(0.5)+5-8(0.25)
= 3.5+5-2
= 6.5
What is the slope-intercept equation of the line that includes (0, 12) and (4, 36)? A. y = –12x + 6 B. y = 6x + 12 C. y = 6x – 12 D. y = 12x – 6
Answer:
B. [tex]y=6x+12[/tex]
Step-by-step explanation:
The slope of the line is [tex]\frac{36-12}{4-0}=6[/tex].
The [tex]y[/tex] intercept is 12, so the equation is [tex]y=6x+12[/tex].
Solve this system of equations using the LINEAR COMBINATION method, then answer the questions below.
2x - y = - 4 6x + 5y = 4
• What did you get for the (x, y) solution to this system? (2.5 points)
• Explain what you did to create a pair of opposites so that you could combine the equations. (2.5 points)
The solutions to the system of equation (x, y) are (-1, 2)
System of EquationsA system of equations is a set of one or more equations involving a number of variables. The solutions to systems of equations are the variable mappings such that all component equations are satisfied—in other words, the locations at which all of these equations intersect.
The equations given are;
2x - y = -4 ... eq(i)
6x + 5y = 4 ... eq(ii)
Solving the equations
x = -1 , y = 2
The solutions of the problem are x = -1 and y = 2
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HELP PLEASE!! WILL THANK AND MARK BRAINLIEST!
The analysis of the tables based on the first difference values indicates
1 a. The function is a linear function
b The reason the function is linear is because the rate of change in the x and y-values are constant, such that the rate of change of the function is also constant
2. a. The function is not linear
b. This is so because the changes in the consecutive terms of the x-values is not constant while the change in the y-values is constant making the overall rate of change of the function (the slope of the function) to vary
3. a. The table is not a linear function
b. The reason why the table does not represent a linear function is because the change in the terms of the y-values is not constant
4. a. The table is a linear function
b. The reason why it is a linear function is because the changes in the x and y-values are constant
What is a linear function?A linear function is a function that when plotted on a graph, forms a straight line.
1) The changes in x-values are;
Δx₁ = -2 - (-3) = 1
Δx₂ = -1 - (-2) = 1
Δx₃ = 0 - (-1) = 1
Δx₄ = 1 - 0 = 1
The changes in y-values are;
Δy₁ = 2 - 1 = 1
Δy₂ = 3 - 2 = 1
Δy₃ = 4 - 3 = 1
Δy₄ = 5 - 4 = 1
a. Is it a linear function? Yes
b. Why it is a linear function is because the first difference of the y-values and the change between consecutive x-values are both constant
2. The changes in x-values are;
Δx₁ = -2 - (-5) = 3
Δx₂ = -1 - (-2) = 1
Δx₃ = 2 - (-1) = 3
Δx₄ = 5 - 2 = 3
The changes in y-values are;
Δy₁ = 4 - 2 = 2
Δy₂ = 6 - 4 = 2
Δy₃ = 8 - 6 = 2
Δy₄ = 10 - 8 = 2
a. Is it a linear function? No
b. The reason why it is not a linear function is because the rate of change in the y-values is constant while the rate of change in the x-values varies, which indicates that the rate of the function also varies resulting in a non linear function.
3. The changes in x-values are;
Δx₁ = -5 - (-10) = 5
Δx₂ = 0 - (-5) = 5
Δx₃ = 5 - 0 = 5
Δx₄ = 10 - 5 = 5
The changes in y-values are;
Δy₁ = 4 - 9 = -5
Δy₂ = 2 - 4 = -2
Δy₃ = 0 - 2 = -2
Δy₄ = -3 - 0 = 2
a. Is it a linear function? No
b. The reason why the table of values does not represent the values of a linear function is that the first difference, which is the change in the consecutive y-values is not constant, such that the rate of changes of the ordered pairs of the function function is not constant and the graph therefore does not follow a straight line pattern
4) The changes in x-values are;
Δx₁ = 3 - (-1) = 4
Δx₂ = 7 - 3 = 4
Δx₃ = 11 - 7 = 4
Δx₄ = 15 - 11 = 4
The changes in y-values are;
Δy₁ = -4 - (-9) = 5
Δy₂ = 1 - (-4) = 5
Δy₃ = 6 - 1 = 5
Δy₄ = 11 - 6 = 5
a. Is it a function? yes
b. The reason why it is a function is because the first difference in the y-values is constant and the difference between consecutive x-value terms is also constant
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8. Aleks is writing a report about recycling in the local town. In 2021: There were 2341 people living in the town Each person in the town recycled an average of 264.6kg of waste. Aleks knows that 1tonne = 1000kg. How many tonnes of waste were recycled in town in total in 2022?
The tons of waste recycled in 2021 was 619.4286 tons.
According to the question,
We have the following information:
In 2021: There were 2341 people living in the town. Each person in the town recycled an average of 264.6kg of waste. Aleks knows that 1 ton = 1000kg.
Now, the total waste recycled in 2021 can be found using multiplication:
Number of people*waste recycled by each person
2341*264.6
619428.6 kg
Now, we will convert this from kilogram to tons.
1 ton = 1000 kg
1 kg = 1/1000 ton
So, we will divide the waste in kilogram by 1000:
Total waste recycled = 619428.6/1000
Total waste recycled = 619.4286 tons
Hence, the tons of waste recycled in 2021 was 619.4286 tons.
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Tickets to a basketball game can be ordered online for a set price per ticket plus a $5. 50 service fee. The total cost in dollars for ordering 5 tickets is $108. 0. Which linear function represents c, the total cost, when x tickets are ordered? c(x) = 5. 50 + 20. 50x c(x) = 5. 50x + 20. 50 c(x) = 5. 50 + 21. 60x c(x) = 5. 50x + 21. 60.
The Linear function representing the total cost , where x is the number of tickets is c(x) = 5. 50 + 20. 50x , the correct option is (a) .
In the question ,
it is given that ,
the total cost for 5 tickets = $108
the service fees for the tickets to a basketball game = $5.50
we need to find the cost function for 5 tickets .
we substitute , the value of x = 5 in each option and check which option gives the cost as $108 .
Option (a)
c(x) = 5.50 + 20.50x
= 5.50 + 20.50(5)
= 108
Option(b)
c(x) = 5. 50x + 20. 50
= 5.50(5) + 20.50
= 48
Option(c)
c(x) = 5. 50 + 21. 60x
= 5.50 + 21.60(5)
= 113.5
Option(d)
c(x) = 5. 50x + 21. 60
= 5.50(5) + 21.60
= 49.1
So, from the answers above we can conclude that the cost function representing the cost for 5 tickets is c(x) = 5. 50 + 20. 50x .
Therefore , The Linear function representing the total cost , where x is the number of tickets is c(x) = 5.50 + 20.50x .
The given question is incomplete , the complete question is
Tickets to a basketball game can be ordered online for a set price per ticket plus a $5.50 service fee. The total cost in dollars for ordering 5 tickets is $108 . Which linear function represents c, the total cost, when x tickets are ordered ?
(a) c(x) = 5.50 + 20.50x
(b) c(x) = 5.50x + 20.50
(c) c(x) = 5.50 + 21.60x
(d) c(x) = 5.50x + 21.60.
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The slope of a roof is called its pitch. The parthenon, an ancient greek temple, has a roof with a rise of 3. 6 meters and a run of 12 meters. What is the pitch of the roof?.
The pitch of the roof is 0.3.
Pitch:
The pitch can be expressed numerically as a fraction. The pitch fraction represents a certain amount of vertical rise over the entire span.
Here it is given that the rise in the roof is 3.6m and a rum of 12m,
We have to find the pitch of the roof.
As is already given in the statement that the slope of a roof is called its pitch.
By this we get the slope:
Slope = 3.6/12
= 3/10
= 0.3
Therefore we get the pitch of the roof at 0.3.
To know more about the slope refer to the link given below:
https://brainly.com/question/3493733
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please please help meeee
Answer:
|MF| = √109
|MK| = √ 229
Step-by-step explanation:
| MF| = √(-1×-3)² + (5×2)²
= √(3)² + (10)²
=√9 + 100
= √109
|MK| = √(-1×2)² + (5×3)²
= √(-2)² + (15)²
= √4 + 225
= √229