No it is not reasonable , because the number of medium T-shirts is not 3 times the number of large T-shirts .
Given :
Let say that the class need x medium and y large t - shirts .
so ,
x + y = 216
x = 3y
substitute
3y + y = 216
4y = 216
divide by 4 on both sides
4y / 4 = 216 / 4
y = 216/4
y = 54
x = 54 * 3
= 162
so here we need 162 medium t - shirts and 54 large t - shirts
given 72 large and 144 medium t - shirts so it not reasonable .
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Area of irregular shapes
Answer:
The area of the irregular shape is 268.8.
Step-by-step explanation:
To find the area of an irregular shape, we first have to break it into common shapes, here, in this case, we will break it into a rectangle with sides 14 and 8 and a triangle with a base length equal to 14 and the opposite angle to the base is equal to 32°.
The area of the rectangle is equal to the product of the side lengths which is equal to [tex]14*8=112[/tex]. Therefore [tex]A_{1} =112[/tex].To find the area of the triangle we have to find the height of the triangle. Since [tex]tan32=\frac{14}{Height}[/tex], this implies height is equal to [tex]\frac{14}{tan32}=22.40[/tex]. Now the are of triangle is equal to product of half times bease times height . [tex]A_{2} = \frac{1}{2}*14*22.40= 156.80[/tex]Therefore the area of the given irregular shape is equal to [tex]A=A_1+A_2\\A=112+156.8\\A=268.8[/tex]To learn more about the area of irregular shapes, refer to the link below:
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For what value of A is x 4 a factor of 5x³ 7x² ax 28?
On solving the provided question, we can say that - equation [tex]5x^3 + 7x^2+ax = 28[/tex] at x= 4 that value of a is = - 101
What is factor?A number that divides another number by itself with no residual is known as a factor. In other words, if multiplying two whole numbers results in the creation of a product, the numbers we are multiplying are factors of the product since the product is divisible by them. Division and multiplication are the two ways to discover factors. A number or other mathematical object is factorized or factored in mathematics by expressing it as the product of numerous factors, often smaller or simpler things of the same sort. One factorization of the polynomial x2 - 4 is 3 5, which is also a factorization of the number 15.
[tex]5x^3 + 7x^2+ax = 28\\5(4)^3 + 7(4)^2 + 4a = 28[/tex]
a= -404/4
a = -101
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100 POINTS PLEASE HELP BRAINLIEST
Answer:
D because it is a increase in liability and the increase in the lability is always credited so it is posted in the T account.
How do you factor 7th grade math?
Therefore , the factor of the 7th grade math equation 3x + 6 are
3 and (x + 2)
What is equation?The equal sign is used between numerical or changeable expressions to create an equation, such as 3x+5=11.
A number that can be entered as the variable's replacement in an equation serves as the solution.
Here,
The seventh grade can be viewed as the following:
to produce 3x + 6
Put each term in writing as the outcome of irreducible factors:
3x = 3 × x
6 = 2 × 3
(3 × x) + (2 × 3) = 3x + 6
Three is a common element in the previous two words.
According to the distributive property, 3 x (plus 2) equals 3 x + 2 x 3.
Therefore, 3x + 6 equals 3(x + 2), where 3 and (x + 2) are the variables that make up 3x + 6, and these factors cannot be further divided.
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David runs the music-streaming service Absolute Audio. Since upgrading his app last year, David has steadily gained subscribers.
This situation can be modeled as a linear relationship.
What does the slope of the line tell you about the situation?
A. david had 350 subscribers 6 months aafter upgrading the app
B. david gained 100 subscribers every 3 months
C. david gained 150 subscribers every 3 months
D. david had 150 subcribers when he upgrading the app
Answer: B. David gained 100 subscribers every 3 months.
Step-by-step explanation:
The slope of the line shows us the change. First, we will need to find the slope. We will use "rise over run" to do this, resulting in a slope of 100/3. This represents 100 subscribers every three months leading us to answer option B;
B. david gained 100 subscribers every 3 months
Determine the frequency of each class in the table shown. Number of Candles in a Glass Jar Class Frequency 1003 1062 1063 1122 1123 1182 1183 1242 1243 1302 1303 1362
The frequency of a class is the number of data points that fall within the class is 1.
To determine the frequency of each class in the table shown, we must first divide the data points into the respective classes. The classes are 1003, 1062, 1063, 1122, 1123, 1182, 1183, 1242, 1243, 1302, 1303, and 1362.
For the class 1003, the frequency is 1, since there is only one data point (1003) in this class.
For the class 1062, the frequency is also 1 since there is only one data point (1062) in this class.
For the class 1063, the frequency is also 1 since there is only one data point (1063) in this class.
For the class 1122, the frequency is 1 since there is only one data point (1122) in this class.
For the class 1123, the frequency is 1 since there is only one data point (1123) in this class.
For the class 1182, the frequency is 1 since there is only one data point (1182) in this class.
For the class 1183, the frequency is 1 since there is only one data point (1183) in this class.
For the class 1242, the frequency is 1 since there is only one data point (1242) in this class.
For the class 1243, the frequency is 1 since there is only one data point (1243) in this class.
For the class 1302, the frequency is 1 since there is only one data point (1302) in this class.
For the class 1303, the frequency is 1 since there is only one data point (1303) in this class.
For the class 1362, the frequency is 1 since there is only one data point (1362) in this class.
Therefore, the frequency of each class in the table shown is 1.
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I need helping finding the length and width of this shape the area is 183.65sqft ? Please help thank you.
Answer:
Below
Step-by-step explanation:
TOTAL AREA of circle with 15' radius = pi r^2 = 706.9 ft^2
this is a fraction of the total 360 degrees of the circle
x/360 = 183.65 /706.9
x = 93.5 ° or 1.63 Radians is the central arc angle
What does B stand for in area formula?
Х
15
9
18
9
y
17
9
4
Is this relation a function?
yes
no
What is the requirements for SSS update status?
Without going to an SSS branch, members of SSS can update or amend their contact information, including their phone number, cell number, postal address, overseas address, and email address.
A passport Member's copy of Personal Records (SS Forms E-1, RS-1, OW-1, and NW-1) lawfully received by the SSS where the proper sex is specified is a needed document. If the sex on the birth certificate is entered incorrectly or if a birth certificate correction petition is lodged, the court will allow the petition.
Application Conditions
An application for a member loan.
E-6 (acknowledgement stub) with any two legitimate IDs, one of which has a current photo, or SSS digital ID. valid driving license. ID card from the Professional Regulation Commission (PRC). Passport. a postal ID. ID from a company or school. TIN card: a tax identification number.
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The method of sampling where the person most knowledgeable of the subject of study selects the elements of the population that he or she feels are the most representative of the population is?
The method of sampling where the person most knowledgeable of the subject of study selects the elements of the population that he or she feels are the most representative of the population is judgement sampling
The judgement sampling is a non probability that the researcher selects units to be sampled based on his own knowledge and professional judgement. Here the probability is not a factor.
The given question is the person most knowledgeable of the subject of study selects the elements of the population that he or she feels are the most representative of the population.
Here the given sampling is matches the judgement sampling, because the selecting the units to be samples based on her or his knowledge and judgement
Therefore, the sampling method is judgement sampling
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ignore my writing :)
Answer:
Below
Step-by-step explanation:
In a RIGHT triangle, sin (angle ) = opposite leg/ hypotenuse
sooooo sin (x) = 7.1/8.5
sin (x) = .835
x = arcsin (.835) = 56.6°
Collect like terms y + 2 y
Answer:
y + 2y = 3y
Explanation:
y and 2y are like terms. Their sum is 3y
Given the following function, find the coordinates of the vertex of f(x):
f(x)=x²- 2x - 15
A. (1, -16)
B. (-1, -12)
C. (-1, -14)
D. (1, -17)
Ο.Α.
OB
O C
OD.
Answer: A. (1, -16)
Step-by-step explanation:
Use a graphing calculator.
What are the solutions of x2 4x 7 0?
Answer: Solving x2 - 4x - 7 = 0 by completing the square, the solutions are x = ±√11 + 2.
Step-by-step explanation:
Is 4th root a function?
Answer:
yes
Step-by-step explanation:
It is! A function is defined as an operation that when given a number, it returns a unique number back. The 4th root satisfies this, so it is a function!
hope this helps :)
what is the range of the function y=-8x+5 when the domain is {-2,2,4}
Answer:
{-27, -11, 21}
Step-by-step explanation:
[tex]x=-2 \implies y=-8(-2)+5=21 \\ \\ x=2 \implies y=-8(2)+5=-11 \\ \\ x=4 \implies y=-8(4)+5=-27[/tex]
The price of a commodity was increased in the ratio 5:4. After one month the same commodity was reduced in the ratio 7:8 to attract more customers. If the new price is sh35 calculate the price of the commodity before the increase
Answer:
sh. 32
Step-by-step explanation:
Before the reduction, the cost was [tex]35(8/7)=[/tex]sh. 40.
Therefore, the price before the increase was [tex]40(4/5)=[/tex]sh. 32.
How did you know that ordered pair satisfies the linear inequality in two variables?
Using the values provided in the ordered pair, The linear inequality is satisfied by putting the ordered pair values and checking if the statement is true or false.
What do you mean by a ordered pair?An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence.
What is linear inequality?When two mathematical statements or two numbers are compared in an unequal way, it is known as an inequality in mathematics. Inequalities can generally be classified as either algebraic or numerical, or as a combination of the two.
ordered pair=(1,2)
linear inequality equation,
[tex]4x_{1}-x_{2} > 0[/tex]
using value from ordered pair,
[tex]4*1 - 2 > 0[/tex]
[tex]2 > 0[/tex]
which is true. That is it satisfies the given linear inequality.
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Use the half-angle formulas to determine the exact values of the sine, cosine,
and tangent of the angle. 7π/8
The exact values for angles sine, cosine and tangent are
sin((7π/8)/2) = ±0.98078°
cos((7π/8)/2) = ±0.19509°
tan(7π/8) = ± 5.02733°
What is half angle identities?
In trigonometry, the half-angle formula is used to calculate the precise values of trigonometric ratios of angles like 15° (half of the standard angle 30°), 22.5° (half of the standard angle 45°), and so on. The half angle is represented by θ/2 if is an angle.
Let the given angle is θ = 7π/8.
We have to find the exact values of the sine, cosine and tangent angles using half angle formulas.
Consider, the half angle formula for sine,
sin(θ/2) = ± √((1 - cosθ) / 2)
sin((7π/8)/2) = ±√((1 - cos(7π/8)/2)
sin((7π/8)/2) = ±0.98078°
Now consider the half angle formula for cosine,
cos(θ/2) = ± √(1 + cosθ)/2
cos((7π/8)/2) = ± √(1 + cos(7π/8)/2)
cos((7π/8)/2) = ±0.19509°
Now consider the half angle formula for tangent,
tan(θ/2) = ± √((1 - cosθ)/(1 + cosθ))
tan(7π/8) = ± √((1 - cos(7π/8))/(1 + cos(7π/8)))
tan(7π/8) = ± 5.02733°
Hence, the exact values for angles sine, cosine and tangent are
sin((7π/8)/2) = ±0.98078°
cos((7π/8)/2) = ±0.19509°
tan(7π/8) = ± 5.02733°
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How do you make a 4 quadrant line graph in Excel?
You can also manually convert a scatter plot to a four-quadrant graph
First, delete the trend line from your scatter diagram.
When does a graph represents a function?
A graph represents a function if it has no vertically aligned points, that is, each value of x is mapped to only one value of y.
How do you make a 4 quadrant line graph in Excel?
You can also manually convert a scatter plot to a four-quadrant graph
First, delete the trend line from your scatter diagram.
Second, reformat your X-Axis. ...
Third, reformat your Y-Axis. ...
Once you have updated both the X and Y Axis Values, you should have a XY Scatter Diagram with Four Quadrants
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Express the area of a rectangle with length 3x²y and width 4y³ as a monomial.
Area =
Area of rectangle= [tex]12x^{2} y^{4}[/tex] id from given breadth and length of rectangle that are given in form of monomial.
What are monomial and binomial?The result of non-negative powers of variables is a monomial. A monomial will only have one term and no variables in the denominator.
A binomial, which is the product of two monomial, has two dissimilar terms.
The area of a rectangle with length l and width w is given by the formula
A = l×w.
In this case,
length of the rectangle = 3x²y
width = 4y³
Therefore, the area of the rectangle is given by A = 3x²y * 4y³
= [tex]12x^{2} y^{4}[/tex]
This is a monomial because it is a single term that contains only variables and their exponents.
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They were so delighted with the song that they sang it right through five times in succession, and might have continued singing it all night if they had not been interrupted. Unfortunately, the uproar awoke mr. Jones, who sprang out of bed, making sure that there was a fox in the yard. He seized the gun which always stood in a corner of his bedroom, and let fly a charge of number 6 shot into the darkness. The pellets buried themselves in the wall of the barn and the meeting broke up hurriedly. Which historical event is this passage most reminiscent of?.
According to the passage, the historical event that is most reminiscent of this is Bloody Sunday. Thus, the correct option for this question is A.
Reminiscent experiences are ones that one should keep in mind from the past and are frequently recorded in books. It symbolizes the feeling of recollections of something similar coming back.
The song that they sang five times in a row creates a sensation of joy, according to the context of this inquiry. But regrettably, the commotion roused Mr. Jones, who sprang out of bed and checked to see whether there was a fox in the yard. The historical occurrence that most closely resembles this is Bloody Sunday.
Therefore, the historical event that is most reminiscent of this is Bloody Sunday.
Complete question:
They were so delighted with the song that they sang it right through five times in succession and might have continued singing it all night if they had not been interrupted, Unfortunately, the uproar awoke Mr. Jones, who sprang out of bed, making sure that there was a fox in the yard. He seized the gun which always stood in a corner of his bedroom, and let fly a charge of Number 6 shot into the darkness. The pellets buried themselves in the wall of the barn and the meeting broke up hurriedly.
Which historical event is this passage most reminiscent of?
A-Bloody Sunday
B-the Bolshevik Revolution
C- the rise of Lenin
D-collectivization
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The paragraph claims that Bloody Sunday is the historical occurrence that most closely resembles this one. As a result, choice A is the right response to this query.
Reminiscent experiences are ones from the past that one should remember and are usually written about in novels. It represents the sensation of memories of something similar returning.
According to the setting of this enquiry, the song that they sang five times in a row induces feelings of delight. Unfortunately, the noise woke up Mr. Jones, who quickly got out of bed to investigate if there was a fox in the yard. Bloody Sunday is the historical episode that most closely approaches this.
Bloody Sunday is the historical occurrence that most closely resembles this now.
Which historical event is this passage most reminiscent of?
A-Bloody Sunday
B-the Bolshevik Revolution
C- the rise of Lenin
D-collectivization
What are the vertical and horizontal asymptotes for the function f/x )= x2 x 6 x 3 1?
The function given by the question, [tex]f(x) = \frac{x^{2} }{6x+31}[/tex] , the vertical asymptote will be at x = -31/6 and there will be no horizontal asymptote.
What is horizontal asymptote?A horizontal asymptote is a line that guides the graph of a function for x-values that are "far" to the right or left but not on the graph itself. The graph might cross it, but ultimately, for sufficiently big or sufficiently low values of x, the graph would approach the asymptote without hitting it. A slant asymptote has a specific instance known as a horizontal asymptote.
What is vertical asymptote?A vertical line that directs the function's graph but is not actually a part of it is called a vertical asymptote. Because it appears at an x-value outside of the function's scope, the graph can never cross it. There may be several vertical asymptotes for a given function.
Solve 6x + 31 = 0 for x to obtain the vertical asymptotes of the function x2/(6x+31). The vertical asymptote is x = -31/6 because x = -31/6 is the solution. Because the degree of the numerator is larger than the degree of the denominator by 2, the function has no horizontal asymptotes (1).
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How many terms are there in the expression x³ 4x² 7x − 2 *?
The provided phrase, x3+4x2+ 7x+ â' 2 has four terms.
What does the phrase mean?Expressions are made up of terms. A term might be either a constant, a variable, or a combination of both.
What kind of phrase would that be?A single letter, a single positive or negative integer, or a number of variables multiplied but never added or subtracted might be the only variable. A number is placed in front of some nouns that have variables. The number used before a sentence is called a coefficient. single-word illustrations: Three times in one phrase.
The mathematical operator + separates the four components in the equation x3+4x2+ 7x+â' 2.
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2.5x−20 when X = 15?
Answer:
17.5
Step-by-step explanation:
Since X is right next to 2.5 and x =15 2.5x15=37.5 and then you subtract 20
Answer:
x = 30/11 = 2 8/11 is approximate 2.727
Step-by-step explanation:
hope this helped:)
A 12-ounce bottle of shampoo lasts Erique 16 weeks. How long would you expect an 18-ounce bottle of the same brand to last him?
Answer: 24 weeks
Step-by-step explanation:
Take 12 divided by 16 = 0.75 ounce per week
Then take 18 divided by 0.75 = 24 weeks
You need to divide the number of cars by the number of people to calculate cars per person on day 1
The correct formula that you need to enter in excel to divide the number of cars by the number of people is = B92/ C92.
What is Microsof excel?This is spreadsheet program mainly used to organize numerical and non-numerical data using tables and graph. One of the advantages of this program is that it allows you to set formulas to automatically obtain results by applying mathematical operations to the cells selected.
How to use a formula in this case?Considering the task is to divide the number of cars by the number of people, the correct symbol to use is the symbol / or divide. Moreover, in the formula you need to include the correct cells. In this case, the number of cars is cell B92 and the number of people is cell C92. Therefore, the correct complete formula is B92/ C92.
Note: This question is incomplete; here is the missing section:
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Min read his book for 13 hour before dinner. He read his book for 114 hours after dinner.
Altogether, how many hours did Min read his book?
Responses
1 1/6 hours
1 2/7 hours
1 1/2 hours
1 7/12 hours
QUICK
Answer:
1 7/12 hours
Step-by-step explanation:
1/3 + 11/4
The common factor is 12
4/12 + 13/12 = 1 7/12
The table shows a linear relationship between x and y. What is the rate of change of y with respect to x?.
The rate of change of y with respect to x is the slope of the line which is 2.
To find the slope of a line, you can use the following formula:
slope = (y2 - y1)/(x2 - x1)
where (x1, y1) and (x2, y2) are two points on the line.
For example, if the table shows the following values for x and y:
[tex]\boxed{x | y}\\\boxed{0 | 0}\\\boxed{2 | 4}\\\boxed{4 | 8}[/tex]
The slope of the line can be calculated by finding the difference in the y-values between two points and dividing it by the difference in the x-values between those same two points. For example, the slope between the points (0,0) and (2,4) would be calculated as follows:
slope = (4 - 0)/(2 - 0) = 4/2 = 2
Therefore, the rate of change of y with respect to x is 2.
The slope of a line represents the rate of change of one variable (y) with respect to another variable (x). In other words, it tells us how much y changes for every unit change in x. In this case, the slope of the line is 2, which means that for every unit increase in x, y increases by 2 units. This is a linear relationship because the slope is constant, meaning that the rate of change is always the same.
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