n-2=52
whatever n is minus 2 equals up to 52 so n is prolly 54
Which scale factors produce an expansion under a dilation of the original image? Select each correct answer. 0. 1 0. 1 2 2007. 5.
Scale factors are used to dilate a shape or figure.
The scale factors that produce expansions are 200 and 7.5
The scale factors are given as: 0.1, 0.12 200 and 7.5
When the absolute value of a scale factor (k) is greater than 1, then the image of the dilation will be enlarged.
If otherwise, the image will be compressed.
This means that:
\(\mathbf{|k| > 1}\) --- enlarged image\(\mathbf{|k| < 1}\) --- compressed imageThe above highlights mean that:
Scale factors 0.1 and 0.12 will produce a compressed imageScale factors 200 and 7.5 will produce an expanded imageHence, the scale factors are 200 and 7.5
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2.248 divided by 5.62
Answer:
0.4
Step-by-step explanation:
Answer:
44.128114
Step-by-step explanation:
(Segment Proofs)
Given: K is the midpoint of JL, M is the midpoint of LN
JK = MN
Prove: KL LM
Answer:
It's proved below
Step-by-step explanation:
We are given;
- K is the midpoint of JL
- M is the midpoint of LN
By definition of mid points, we can say that;
JK = KL and LM = MN
Now, we are given that JK = MN.
Thus, by substitution, we can deduce that; KL = LM
Thus is because JK can be replaced with KL and MN can be replaced with LM.
Thus, it is proved that KL = LM
Air enclosed in a sphere has density 1.2 kg/m3. What will the density be ifthe radius of the sphere is halved, compressing the air within?
Therefore, The density of air enclosed in a sphere with a radius halved will be 9.6 kg/m3. This is because the volume reduces by a factor of 8, resulting in an increase in density by a factor of 8.
When the radius of the sphere is halved, the volume of the sphere reduces by a factor of 8. Since the mass of the air enclosed remains constant, the density of the air within the sphere will increase by a factor of 8. Therefore, the density of the air within the sphere will be 9.6 kg/m3 after compression.
The density of the air enclosed within a sphere is given as 1.2 kg/m3. When the radius of the sphere is halved, the volume of the sphere reduces by a factor of 8 (since volume is proportional to the cube of radius). However, the mass of the air enclosed remains constant. Therefore, the density of the air within the sphere will increase by a factor of 8, resulting in a new density of 9.6 kg/m3.
Therefore, The density of air enclosed in a sphere with a radius halved will be 9.6 kg/m3. This is because the volume reduces by a factor of 8, resulting in an increase in density by a factor of 8.
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A restaurant offers 6 choices of appetizer, 8 choices of main meal, and 5 choices of dessert. A customer can choose to eat just one course, or two different courses, or all three courses. Assuming all choices are available, how many different possible meals does the restaurant offer? help I make brainless to the right answer
Answer:
377 possible meals
Step-by-step explanation:
Let's split this up into 3 cases: one course, two courses, and three courses.
Case 1:
The customer only eats one course. If so, that means they only eat an appetizer, a main meal, or a dessert. There are 6 choices of an appetizer, 8 for a main meal, and 5 for a dessert. Add these together:
6 + 8 + 5 = 19
Case 2:
The customer will eat two courses. If so, that means they eat:
- appetizer + main meal
There are 6 choices for appetizer and 8 for main meal, so in total, there are 6 * 8 = 48 choices.
- appetizer + dessert
There are 6 choices for appetizer and 5 for dessert, so in total, there are 6 * 5 = 30 choices.
- main meal + dessert
There are 8 choices for the main meal and 5 for dessert, so in total, there are 8 * 5 = 40 choices.
So, if the customer eats 2 courses, they have 48 + 30 + 40 = 118 choices.
Case 3:
The customer will eat three courses.
Since there are 6 choices for an appetizer, 8 for a main meal, and 5 for dessert, we multiply them together to get:
6 * 8 * 5 = 240 total choices
Finally add all the total choices from each of the 3 cases:
19 + 118 + 240 = 377 possible meals
~ an aesthetics lover
Write the radical expression in exponential form.
\( \frac{1}{ \sqrt[2]{x} } \)
Riley wants to predict a soccer team's number of wins. She considers the number of goals scored by the team's top scorer during a season. Riley makes a scatter plot using data from the team's past 13 seasons. Which is the equation of the trend line that most closely models this data?
Answer:
b) y=1/3x+5
Step-by-step explanation:
Without the actual scatter plot we would need to deduce from the options provided which would closely model the data. Since the number of goals scored in a game can only be 0 or positives then we can remove options a) and c) since a value of x = 0 would output a negative value to y. That leaves us with options b) and d). Since we know that soccer games vary in the number of goals then we can remove option d) since it represents a steady trend line of 4. Finally, we are left with option b) as the answer.
A jewelry designer is making beaded jewelry with the 999 beads she currently has in stock. Bracelets use 10 beads and necklaces use 57 beads.
Write the inequality in standard form that describes this situation. Use the given numbers and the following variables.
The inequality in standard form that describes this situation is 10x + 57y < 999.
What is inequality ?This refers to the relationship between two values that are not of the same value.
Solving the inequality, we have:
Let x be the number of b=racelets that can be made and y be the number of necklaces that can be made. The inequality in standard form that describes the situation is:
x = the number of bracelets
y = the number of necklaces
Number of beads / bracelets =10
Number of necklaces = 57
10x + 57y < 999.
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Compare the expression 3 8 and 3 5 x 3 3 using the properties of multiplication what do you notice
Using the properties of multiplication to compare the expressions 3 to the eighth power and 3 to the fifth power x 3 to the third power, it can be seens that that the two expressions are equal to each other.
The properties of multiplication state that when multiplying two expressions with the same base, we can add their exponents together. This means that 3 to the fifth power x 3 to the third power is equal to 3 to the eighth power.
In mathematical notation, this looks like:
3^8 = 3^5 x 3^3
Using the properties of multiplication, we can add the exponents together:
3^8 = 3^(5+3)
Simplifying the exponent:
3^8 = 3^8
This shows that the two expressions are equal to each other. Therefore, we can conclude that 3 to the eighth power and 3 to the fifth power x 3 to the third power are the same value.
Note: The question is incomplete. The complete question probably is: Use the properties of multiplication to compare the expressions 3 to the eighth power and 3 to the fifth power x 3 to the third power.
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Does this graph represent a function? Why or why not?
10.
8
6
4
2
-10 8 6 4 2
88
-8
10
2468 10
A. No, because it fails the vertical line test.
O B. No, because it is not a straight line.
OC. Yes, because it passes the horizontal line test.
OD. Yes, because it passes the vertical line test.
Answer:
D.) Yes, because it passes the vertical line test.
Step-by-step explanation:
For a function to be a function, there must be one output for every input. IN other words, there must be one "y" value for every "x" value. One can see if a graph passes this test by performing the vertical line test.
In this case, the line on the graph passes the test and represents a function. Again, this is because each "x" value has only one "y" value.
Yes, The graph is function because it passes the vertical line test.
We have to given that,
A graph of function is shown in image.
Since, A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
And, The vertical line test is used to determine if a graph of a relationship is a function or not. if you can draw any vertical line that intersects more than one point on the relationship, then it is not a function.
Hence, By given graph,
it passes the vertical line test.
So, Graph shown is a function.
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Researchers examined the bill color (in hue degree) of male and female zebra finches. Here are the summary statistics from the study. How different are male and female zebra finches in bill color? The margin of error for a 95% confidence interval for the difference in mean bill color μF – μM (in hue degree) is ____. Round your answer to the hundreths decimal place.
Answer:
The answer to this question can be defined as follows:
Step-by-step explanation:
In the question some iformation is missing, which can be defined as follows:
Given:
The value of males:
\(n_1= 59\\s_1= 1.46\\\bar y_1=2.91\\\)
The value of Females:
\(n_2=60\\s_2= 2.48\\\bar y_2=7.42\\\)
Calculating Degrees of Freedom:
\(\bold{ df=\frac{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}}{ \frac{1}{n_1-1} (\frac{s_1^2}{n_1})^2+\frac{1}{n_2-1} (\frac{s_2^2}{n_2})^2}}\\\\\\\)
\(=\frac{(\frac{1.46^2}{59}+\frac{2,48^2}{60})^2}{ \frac{1}{59-1} (\frac{1.46^2}{59})^2+\frac{1}{60-1} (\frac{2.48^2}{60})^2}\\\)
\(=9.58 or 95\)
\(\alpha= 1-0.95\\\\\)
\(= 0.05\)
for 95% confidence interval are:
\(\frac{\alpha}{2} = \frac{0.05}{2} = 0.025\)
From its t-distribution table , the value of t has an region of (\(\frac{\alpha}{2} \ \ 0.025\)) for (df=95) in its upper tail.
shall be given by = t {0.025}=1.985
Calculating the margin of Error:
\(M_OE =t_{0.025} \times \sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}}\)
\(=1.985\times \sqrt{\frac{1.46^2}{59}+\frac{2.48^2}{60}}\\\\=0.739\)
The difference in mean bill color "\(\mu_2 -\mu_1\)" with 95% confidence intervals:
\(\to (7.42 - 2.91) \pm 0.739\\\\\to 4.51 \pm 0.739\)
Lower limit=3.771
Upper limit = 5.249
0.69 is an integer true or false
Help I have no idea what to do
Answer:
false
Step-by-step explanation:
An integer is a whole number and 0.69 is not a whole number.
Solve 2x-5/x-2 ≤ 1
please answer fast
Answer:
x<=-3
Step-by-step explanation:
2x-5/x-2 <= 1
Multiply both sides by x-2
2x-5<=x-2 (anything times 1 is that number.)
add 5 to both sides
2x<=x-3
subtract x from both sides
x<=-3
Answer:
Step-by-step explanation:
\(\frac{2x-5}{x-2} \leq 1\\case ~1. both ~numerator~and~denominator \geq 0\\x\neq 2\\2x-5\leq x-2\\x\leq 3\\so~0\leq x<2U2<x\leq 3\\case~2.\\both~numerator~and~denominator<0\\2x-5\geq x-2\\x>3\\which~is~rejected~as~it~gives~both~2x-5~and ~x-2>0\)
the distance from the ground of a person riding on a ferris wheel can be modeled by the equation d equals 20 times the sine of the quantity pi over 30 times t end quantity plus 10 comma where d represents the distance, in feet, of the person above the ground after t seconds. how long will it take for the ferris wheel to make one revolution? 10 seconds 20 seconds 30 seconds 60 seconds
It takes approximately 26.56 seconds for the ferris wheel to make one revolution.
so, the correct option is: e) 26.56 seconds
Here, we have,
The ferris wheel makes one complete revolution when the distance of the person above the ground returns to the original value after completing a full circle.
This occurs when the sine function returns to its maximum value, which is 1.
Thus, we have the following equation:
20 * sin(π/30 * t) + 10 = 20
Solving for t,
we will get:
sin(π/30 * t) = 0.5
Taking the inverse sine of both sides:
(π/30 * t) = sin^-1(0.5)
Multiplying both sides by 30/π,
we will get the following:
t = (30/π) * sin^-1(0.5)
Now solving the value of t
We will get it as: t ≈ 26.56 seconds.
so, the correct option is: e) 26.56 seconds
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complete question:
the distance from the ground of a person riding on a ferris wheel can be modeled by the equation d equals 20 times the sine of the quantity pi over 30 times t end quantity plus 10 comma where d represents the distance, in feet, of the person above the ground after t seconds. how long will it take for the ferris wheel to make one revolution?
a) 10 seconds
b) 20 seconds
c) 30 seconds
d) 60 seconds
e) 26.56 seconds
brittany spent 68 hours in an 8-week period doing homework. what is the rate for the number of hours to the number of weeks
A- 2 hrs /17 weeks
B- 8.5 hours
C- 17 hrs /2 weeks
D- 34 hrs / 8 weeks
Answer: C- 17 hrs /2 weeks
Step-by-step explanation:
Write the number of hours in the numerator and the number of weeks in the denominator.
68 hrs/8 weeks
Simplify by dividing 4 into both the numerator and denominator.
68/8 = 17/2
In ΔOPQ, p = 6.3 cm, m∠O=149° and m∠P=29°. Find the length of q, to the nearest 10th of a centimeter.
plssssssssssss help
Answer:
Step-by-step explanation: The length of q to the nearest 10th of a centimeter is 0.2 cm.
Describe Law of Sines?
The Law of Sines is a trigonometric formula used to find the missing sides or angles of a non-right triangle (a triangle that does not have a 90-degree angle). It states that the ratio of the length of a side of a triangle to the sine of the opposite angle is the same for all three sides and angles:
a/sin(A) = b/sin(B) = c/sin(C)
where:
a, b, c are the lengths of the sides of the triangle, and
A, B, C are the measures of the angles opposite to those sides.
This formula is useful when we have some information about the sides or angles of a triangle, but not enough to solve it completely. By using the Law of Sines, we can set up and solve equations to find the missing values.
Using the Law of Sines, we have:
q / sin(2°) = p / sin(149°)
Solving for q:
q = p * sin(2°) / sin(149°)
= 6.3 * sin(2°) / sin(149°)
≈ 0.23 cm
Therefore, the length of q to the nearest 10th of a centimeter is 0.2 cm.
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. a simple undirected graph has 10 edges. 2 of the vertices are of degree 4, and the rest of the vertices are of degree 3. how many vertices are in this graph?
There are 4 vertices with degree 3, and 2 vertices with degree 4. So, there are a total of 6 vertices in this graph.
In a simple undirected graph with 10 edges, 2 vertices have a degree of 4 and the rest have a degree of 3. To determine the number of vertices in this graph, use the formula:
Sum of degrees = 2 * number of edges
Let x be the number of vertices with degree 3. Then:
(2 * 4) + (3 * x) = 2 * 10
8 + 3x = 20
3x = 12
x = 4
We also know that two of the vertices have a degree of 4, which means that together they contribute 8 to the sum of all vertex degrees. This leaves us with 20 - 8 = 12 degrees left to distribute among the other vertices. Since the remaining vertices all have a degree of 3, we can set up the equation 3x = 12, where x is the number of remaining vertices. Solving for x, we get x = 4. Therefore, the graph has a total of 6 vertices - two with a degree of 4 and four with a degree of 3.
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Determine whether the probabilities below are computed using the classical method, empirical method, or subjective method.
The probability of having six girls in an six-child family is 0.015625.
A.Empirical method
B.Classical method
C.Subjective method
D.It is impossible to determine which method is used.
The given probability of having six girls in a six-child family is 0.015625. To determine the method used to compute this probability, we need to analyze the information provided.
The Classical method is based on theoretical assumptions and probabilities calculated using mathematical principles. It assumes equally likely outcomes and relies on counting favorable outcomes over the total number of possible outcomes.
The Empirical method involves gathering data from observations or experiments to estimate probabilities. It relies on observed frequencies and relative frequencies to compute probabilities. However, the given probability does not suggest a sample or data collection, making it unlikely that the Empirical method was used.
The Subjective method involves assigning probabilities based on personal judgment or opinions. Individuals subjectively evaluate the likelihood of an event based on their own beliefs or knowledge.
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The local middle school has students 2924 The principal wants the students in groups of 24 for an assembly How many groups of students will there be?
Answer:
1239 it is 1239 I think I have same test
in 2018 the company had profits of $16 million. In 2019, the company's profits were $24 million. What was the percent of the increase in the company's profits? a 150% b. 67% c 50% d. 30%
As given by the question
There are given that the profit of $16 milonin 2018 and $24 milion in 2019.
Now,
To find the profit,
\(\frac{24-16}{16}\times100\)Then,
\(\begin{gathered} \frac{24-16}{16}\times100=\frac{8}{16}\times100 \\ =\frac{1}{2}\times100 \\ =0.5\times100 \\ =50\% \end{gathered}\)Hence, the correct option is C.
Describe the end behavior of the function
The following option describes the function's final behaviour: f(x) -> 0 when x -> -∞ and f(x) -> -∞ when x -> ∞
How can one get a function's final behaviour?The bounds of a function as x approaches infinity define its final behaviour.
When examining the behaviour at the left and right ends of the graph, these limitations can be found as follows:
Right end: x to -∞.
End on the right: x ->∞.
These bounds can be deduced from the graph as follows:
As the function goes to the origin, the left end is as follows: x -> -∞ -> 0.
Right end, as the function descends: x -> ∞-> negative infinity.
As a result, the third choice provides the right statement while the other two provide incorrect limits.
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What concepts and procedures of the scientific method are being violated in this scenario? How would you devise a study to answer the research question in each scenario?
The concepts and procedures of the scientific method that are being violated in this scenario are: a. Lack of Control Group, b. Lack of Randomization, c. Lack of Blindness, d. Failure to Replicate, e. Extraneous and Confounding Variables.
Lack of Control Group: A control group is a group that is identical to the experimental group in every way except that they do not receive the treatment. It helps in determining whether the treatment has an effect. In this scenario, the lack of a control group makes it impossible to determine whether the treatment is responsible for the difference between the experimental group and the control group.
Lack of Randomization: Randomization is the process of assigning subjects to groups randomly. It ensures that each group is identical to the others in every way except for the treatment. In this scenario, the lack of randomization makes it impossible to determine whether the differences between the experimental and control groups are due to the treatment or due to differences between the groups.
Lack of Blindness: Blinding is the process of keeping the subjects unaware of whether they are in the experimental or control group. It ensures that the subjects do not change their behavior based on their knowledge of whether they are receiving the treatment or not. In this scenario, the lack of blindness makes it impossible to determine whether the differences between the experimental and control groups are due to the treatment or due to the subjects knowing which group they are in.
Failure to Replicate: Replication is the process of repeating the study to see whether the results are consistent. In this scenario, the failure to replicate the study makes it impossible to determine whether the results are consistent with previous studies.
Extraneous and Confounding Variables: Extraneous variables are variables that are not of interest to the researcher but that may have an effect on the outcome of the study. Confounding variables are variables that are not of interest to the researcher but that are related to both the independent and dependent variables.
In this scenario, the presence of extraneous and confounding variables makes it impossible to determine whether the differences between the experimental and control groups are due to the treatment or due to these variables.
Devise a study to answer the research question in each scenario: To devise a study to answer the research question in each scenario, we must consider the concepts and procedures of the scientific method. We must include a control group, randomization, blindness, replication, and control for extraneous and confounding variables.
To conclude, lack of a control group, randomization, and blindness, failure to replicate, and the presence of extraneous and confounding variables violate the concepts and procedures of the scientific method. To answer the research question in each scenario, we must devise a study that includes a control group, randomization, blindness, replication, and control for extraneous and confounding variables.
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40% of the people in a town are females. 10% of the females are left -handed. 20. 8% of all the people are left -handed. Work out the percentage of the people who are not female who are left -handed
Answer:
16.8%
Step-by-step explanation:
When fourty percentage of the people in a town are females. 10% of the females are left -handed. Then total 16.8% of peoples in the town are not female and are left-handed.
We have a percentage data of people in a town. Percentage of female peoples in the town = 40 %
Percentage of female left handed = 10 %
Percentage of total left handed = 20.8 %
Percentage is defined as a ratio of a number to 100 or it expressed as a fraction of 100. Let Total population of the town = X
So, female peoples in the town = 40% of X = (40/100) × X
= 0.4X
The peoples who are not female = X - 0.4X = 0.96X
Number of female left-handed = 10% of 0.4X = (10/100)× 0.4X
= 0.04X
Number of all left-handed in the town
= 20.8% of X = (208/100)× X
= 0.208X
Left-handed peoples who are not female
= 0.208X - 0.04X
= 0.168X
The percentage of people who are not female and who are left-handed
= (0.168X /X )×100
= 16.8%
Hence, required percentage is 16.8%.
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Calculate the total number of tiles needed to make the pathway with length of 14 metres and width of 1.6 metres.
Please show detailed steps and explanarion. Tq
To calculate the total number of tiles needed for the pathway, we need to first determine the total area of the pathway.
Therefore, Total Tiles = 23 tiles. Therefore, we will need a total of 249 tiles to cover the pathway.
Let's assume that the tiles are square and measure 0.3 metres on each side. To determine the number of tiles needed, we need to divide the total area of the pathway by the area of each tile.
Area of each tile = 0.3 metres x 0.3 metres
Area of each tile = 0.09 square metres
Number of tiles = Total area of pathway / Area of each tile
Number of tiles = 22.4 square metres / 0.09 square metres
Number of tiles = 248.89
Since we cannot use a fraction of a tile, we need to round up to the nearest whole number. Therefore, we will need a total of 249 tiles to cover the pathway.
To calculate the total number of tiles needed to make the pathway with a length of 14 metres and width of 1.6 metres, we first calculated the total area of the pathway and then divided it by the area of each tile. We then rounded up to the nearest whole number to get a total of 249 tiles needed.
To calculate the total number of tiles needed for the pathway with a length of 14 metres and a width of 1.6 metres, follow these steps:
1. Determine the area of the pathway by multiplying the length and width.
Area = Length × Width
2. Plug in the given measurements:
Area = 14 metres × 1.6 metres
3. Calculate the area:
Area = 22.4 square metres
4. Now, determine the size of each tile. Since you haven't provided the dimensions of the tiles, I'll assume they are 1 square metre each for this example.
5. Divide the area of the pathway by the area of each tile to find the total number of tiles needed:
Total Tiles = Pathway Area / Tile Area
6. Plug in the calculated area and tile size:
Total Tiles = 22.4 square metres / 1 square metre
7. Calculate the total number of tiles needed:
Total Tiles = 22.4
Since you can't have a fraction of a tile, round up to the nearest whole number to ensure full coverage of the pathway:
Total Tiles = 23 tiles
In summary, you will need 23 tiles (assuming 1 square metre per tile) to make the pathway with a length of 14 metres and a width of 1.6 metres.
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To calculate the total number of tiles needed for the pathway, we need to first determine the total area of the pathway. Therefore, Total Tiles = 23 tiles. Therefore, we will need a total of 249 tiles to cover the pathway.
Let's assume that the tiles are square and measure 0.3 metres on each side. To determine the number of tiles needed, we need to divide the total area of the pathway by the area of each tile.
Area of each tile = 0.3 metres x 0.3 metres
Area of each tile = 0.09 square metres
Number of tiles = Total area of pathway / Area of each tile
Number of tiles = 22.4 square metres / 0.09 square metres
Number of tiles = 248.89
Since we cannot use a fraction of a tile, we need to round up to the nearest whole number. Therefore, we will need a total of 249 tiles to cover the pathway.
To calculate the total number of tiles needed to make the pathway with a length of 14 metres and width of 1.6 metres, we first calculated the total area of the pathway and then divided it by the area of each tile. We then rounded up to the nearest whole number to get a total of 249 tiles needed.
To calculate the total number of tiles needed for the pathway with a length of 14 metres and a width of 1.6 metres, follow these steps:
1. Determine the area of the pathway by multiplying the length and width.
Area = Length × Width
2. Plug in the given measurements:
Area = 14 metres × 1.6 metres
3. Calculate the area:
Area = 22.4 square metres
4. Now, determine the size of each tile. Since you haven't provided the dimensions of the tiles, I'll assume they are 1 square metre each for this example.
5. Divide the area of the pathway by the area of each tile to find the total number of tiles needed:
Total Tiles = Pathway Area / Tile Area
6. Plug in the calculated area and tile size:
Total Tiles = 22.4 square metres / 1 square metre
7. Calculate the total number of tiles needed:
Total Tiles = 22.4
Since you can't have a fraction of a tile, round up to the nearest whole number to ensure full coverage of the pathway:
Total Tiles = 23 tiles
In summary, you will need 23 tiles (assuming 1 square metre per tile) to make the pathway with a length of 14 metres and a width of 1.6 metres.
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is a fraction a term? If it's not a term, why is it that we can apply the distributive property to it? the distributive property only works for either terms, or addition and subtraction. a fraction is technically division, so why does it work? Please help!!!!!
No, a fraction is not a term. The distributive property can be applied to fractions because it is a general mathematical principle.
A fraction is not considered a term in the traditional sense. It is a mathematical expression that represents division. However, the distributive property can still be applied to fractions because the property itself is a fundamental rule of arithmetic that extends beyond specific types of expressions.
The distributive property states that for any real numbers a, b, and c:
a × (b + c) = (a × b) + (a × c).
When working with fractions, we can apply the distributive property as follows:
Let's consider the expression: a × (b/c).
We can rewrite this as: (a × b)/c.
Now, let's distribute the 'a' to 'b' and 'c':
(a × b)/c = (a/c) × b.
In this step, we applied the distributive property to the fraction (a/c) by treating it as a whole.
Although fractions represent division, we can still use the distributive property because it is a general mathematical principle that allows for manipulating expressions involving addition, subtraction, multiplication, and division.
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Linear Inequality Systems Graphically
Answer:
SNITCHY SNATCH
Step-by-step explanation:
I actually don't know how to show how to graph it. Sorry. But I can give a few coordinates. For y < 1/3x + 3: (-1,2 2/3) (0,3) (1,3 1/3). For y > -2/3x - 3: (-1,-2 1/3) (0,-3) (1,-3 2/3).
If 0° ≤ Θ≤ 360°, then find angle(s) Θ.
csc Θ = undefined
The exact roots csc Θ = undefined in 0° ≤ Θ≤ 360° are x = 0°, 180°.
Explain undefined value in trigonometric function?A trigonometric function's undefined value indicates that division by zero was required to calculate the ratio for that particular function. The values of the quadrantal angle functions are listed in the table below.By the definition:
csc Θ = 1/ sin Θ
Hence, for those values of where sin θ = 0, csc θ is undefined.
The answer to this equation is:
x = kx ; k ∈ Z
Written in the intervals:
x = 0, π
In degrees.
x = 0°, 180°
Thus, the exact roots csc Θ = undefined in 0° ≤ Θ≤ 360° are x = 0°, 180°.
To know more about the trigonometric function, here
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The correct question is-
What are the exact roots for csc Θ = undefined in 0° ≤ Θ≤ 360°.
a) Complete the number machine.
Input
a
?
x 4
Output
4a + 12
Answer:
Step-by-step explanation:
What is the answer 680,000/1,000
The expression 680,000/1,000 is a division problem that can be simplified by dividing the numerator (680,000) by the denominator (1,000).
To do this, we first need to understand what division means. Division is the process of dividing a number into equal parts or groups. In this case, we are dividing 680,000 into groups of 1,000.
To divide 680,000 by 1,000, we can divide the first digit (6) by 1,000 to get 680, and then move the decimal point three places to the left to get the final answer of 680.
So, 680,000 divided by 1,000 is equal to 680.
This calculation can be useful in various situations. For example, if we are converting a large number of units into smaller units, we can use division to simplify the process. In this case, we are converting 680,000 grams to kilograms, since there are 1,000 grams in a kilogram. We can divide 680,000 by 1,000 to get 680 kilograms.
In the future, we may encounter more complex division problems that involve larger numbers or different units of measurement. However, the basic concept of division remains the same: dividing a number into equal parts or groups.
1.
A train travels at a constant rate of 45 miles per hour.
a.
What is the distance, d, in miles, that the train travels in t hours?
How many miles will it travel in 2.5 hours?
b.
112.5 miles in 2.5 hours
Answer:
11.25 miles in 2.5 hoursStep-by-step explanation:
speed × time = distance
45 × 2.5 = 112.5
45 is the speed
2.5 is the time
11.25 is the distance