Since we have calculated that solid X has twelve edges and we know that it is a cube, we have proven that if solid X has all square faces, it must have twelve edges.
To prove that solid X has twelve edges, we can follow these steps:
Identify the given information.
The student question states that if solid X is a cube, it has twelve edges. It also states that if solid X is not a cube, then it does not have all square faces. Finally, it is given that solid X has all square faces.
Determine if solid X is a cube or not.
Since solid X has all square faces, according to the given information, it cannot be any shape other than a cube. So, we can conclude that solid X is indeed a cube.
Determine the number of edges of a cube.
Now that we know solid X is a cube, we can recall the properties of a cube. A cube has six square faces, with each face having four edges. However, each edge is shared by two faces. Therefore, to find the total number of unique edges, we can use the following formula:
Number of Edges = (Number of Faces × Number of Edges per Face) / 2
Calculate the number of edges of solid X.
Using the formula from step 3 and the information that a cube has six faces with four edges each:
Number of Edges = (6 × 4) / 2 = 24 / 2 = 12
Conclude the proof.
Since we have calculated that solid X has twelve edges and we know that it is a cube, we have proven that if solid X has all square faces, it must have twelve edges.
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15 In circle F with m/EFG = 78 and EF = 4 units, find the length of arc EG. Round to the nearest hundredth. F G E
Length of arc EG = 5.446 degrees and EG = 0.05446 degrees while written in hundredth.
What means arc length of a circle?Arc length is defined as the distance of two points along the boundary of a circle or a section of a curve. Arc length is not a straight line.
Arc length is calculated by the following formula.
arc length in radians
s = r Ф
where, r is radius of circle or curve
Ф is the central angle in radians
arc length is degrees
s = Ф×π/180 × r
r is the radius of circle
Ф is the central angle in degrees
π = 3.142
How to calculate the arc length in the given problems?given, central angle EFG = 78 degrees.
EF = 4 units
EF is the radius of the given circle
as per the rules of a circle FG is also a radius
FG = FE = 4 units
Now arc length EG = ∠EFG × π/180 × EF
Arc length = 78 × 3.142/180 × 4
=5.446 units
hence, arc length EG = 5.446 units or 5.446 degrees
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Lexi runs a race at school. She runs at a rate of 4 miles per hour for the first mile, then increases her rate to 5 miles per hour until the last mile when she runs 6 miles per hour. Which equation below represents her time, T. In hours, If she runs a total of x miles
Answer:
60T = 12x - 1
Step-by-step explanation:
In speed distance and time, time(t) is given by
time = distance(d)/speed(s)
total distance ran = x miles
case 1
d = 1 mile
speed = 4 miles per hour
as time = distance(d)/speed(s)
t = 1/4
____________________________
case 2
speed = 5 miles per hour
it is given that out of x miles for first mile and last mile her speed was 5 miles per hour
thus distance for this speed can be calculated by
subtracting first and last mile from x miles
therefore
distance = x-2 miles\
t = (x-2)/5
_____________________________________
case 3
distance = 1 mile
speed = 6 miles per hour
t = 1/6
______________________________
Total time T as required will be sum of time for the 3 case calculated above
T = 1/4 + (x-2)/5 + 1/6
T = 1/4 + (x - 2)/5 + 1/6 (taking LCM of 6,5,4 as 60 and solving)
T = (15 + 12x - 24 + 10)/60
T = (12x - 1)/60
60T = 12x - 1
Thus, equation 60T = 12x - 1 represents her time T
I need help!! thanks. Will crown.
Answer:
d(10)=20?
Step-by-step explanation:
Hope it helps
can i have the crown(brainliest)?
In which set of ordered pairs is y a function of x?
A.{(3, 2), (3, 5), (3, 7)}
B.{(+1, 3), (0, 2), (1, 3)}
C.{(0, 1), (1, 2), (1,3)}
D.{(-2, 0), (0, 2), (2, 2)}
The graph solves this system of equations. Enter the solution in the boxes. –2y = –4x + 8 x + y = 5 Two lines. One line has a positive slope and the other has a negative slope. The line with the positive slope has y intercept negative 4 and x intercept 2. The line with the negative slope has y intercept 5 and x intercept 5. The lines intersect at the point 3 comma 2. ( , )
The solution to the system of equations \(-2y = -4x + 8\) and \(x + y = 5\) is (3, 2).
Define the term graph?A graph in x-y axis plot is a visual representation of mathematical functions or data points on a Cartesian coordinate system. The x-axis represents the horizontal or independent variable, while the y-axis represents the vertical or dependent variable.
The line with the positive slope has \(y-intercept\) -4 and \(x-intercept\) 2, so its equation can be written in \(slope-intercept\) form as \(y = 2x - 4\)
The line with the negative slope has \(y-intercept\) 5 and \(y-intercept\) 5, so equation can be written in \(slope-intercept\) form as \(y = -x + 5\)
To find the point of intersection of the two lines, we can solve for x and y by setting the two equations equal to each other:
\(2x - 4 = -x + 5\)
Solving for x, we get: \(x = 3\)
Substituting, \(x = 3\) into the above equation, we get: \(y = 2\)
Therefore, the solution of equations \(-2y = -4x + 8\) and \(x + y = 5\) is (3, 2).
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Rachel split 3/4 pounds of candy among 8 people.
Answer:
i think 0.09375 or 9/375
Step-by-step explanation:
i divided
Alan put $19,000 in an investment that is compounded monthly at a rate of 0.6%. The investment is over a 7-year period. What is the setup of the formula to find Alan's total investment? Use the formula: A = P 1227 A = 18,000 0.06 12 12 X 7 A = 19,000 006 12 OOOO 24 A = 19,000 (1+ 0.006 24 12*7 0.06 A = 10.000 (1 + 12
1) Gathering the data
P = 19,000
rate = 0.6% or 0.006
Period : 7 years
A =?
2) Let's plug into the formula below:
\(\begin{gathered} A=P(1\text{ +}\frac{r}{n})^{nt} \\ A=19,000(1+\frac{0.006}{12})^{12\times7} \\ \\ A=19,000(1.0005)^{84} \\ A=19814.78 \end{gathered}\)3) So the answer is:
\(A=19,000(1+\frac{0.006}{12})^{12\times7}\)solve the equation -4x³=32
Answer:
Step-by-step explanation:
- 4x^3 / (- 4) = 32 / (- 4)
x should and cannot be negative or it shouldn't be for example (- x) = 90
cubic root (x^3) = cubic root (- 8)
x = cubic root (- 8)
x = 2i
what is "i"?
It is an imaginary number as you cannot square, cubic, or whatever root with a negative in it. so instead you must add "i" to remove the negative as a replacement and indicator that it was a negative number.
what is 13 x 13 x 14 please help I will give you brainliest and 100 points to answer the question.
Answer:
13 × 13 × 14 = 2,366
Step-by-step explanation:
13 x 13 = 169
169 × 14 = 2366
Answer:
\(13 \times 13 \times 14 \\ = {13}^{2} \times 14 \\ = 169 \times 14 \\ = 2366 \\ thank \: you\)
There are 25 birds and 12 ducks. Compare the number of birds to the total number of animals. Write you answer three ways. Your answer
Find out the total number of animals
25+12=37 animals
Compare the number of birds to the total number of animals
number of birds=25
so
25/37
or
25:37
or
25 to 37
How many edges are there in the complete graph, Kn? • N(N+1)/2 • N(N-1)/2 (N2+1)/2 • (N2-1)/2
The formula for the number of edges in a complete graph with n vertices is given by E= (n * (n-1))/2. We can simplify this expression as follows:E = (n2 - n)/2. So, the answer to the question is (N2 - 1)/2.
In a complete graph, each vertex is connected to all other vertices. Therefore, to find the number of edges in a complete graph, Kn, we need to consider the number of ways of choosing two vertices from the set of n vertices and connecting them.So, the formula for the number of edges in a complete graph with n vertices is given by E= (n * (n-1))/2. We can simplify this expression as follows:E = (n2 - n)/2So, the answer to the question is (N2 - 1)/2. Therefore, the correct option is (D).Answer in 120 wordsA complete graph is one in which each pair of distinct vertices is connected by a unique edge. The number of edges in a complete graph is determined by the number of vertices in the graph. To find the number of edges in a complete graph with n vertices, we must first consider the number of ways to choose two vertices from the set of n vertices. After that, we must connect those two vertices.
Each pair of vertices produces an edge in a complete graph, and since the edges are undirected, we must divide by two to avoid double-counting. The formula for the number of edges in a complete graph with n vertices is given by E= (n * (n-1))/2. We can simplify this expression as follows:E = (n2 - n)/2. So, the answer to the question is (N2 - 1)/2.
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If the same condition is described as both acute and chronic and separate subentries exist in the icd-10-cm alphabetic index at the same indentation level.a. Trueb. False
If the same condition is described as both acute and chronic and separate subentries exist in the icd-10-cm alphabetic index at the same indentation level is True
What is alphabetical index?
An alphabetical index, often known as an index, is a list of words or phrases that appear frequently in a text and which, if listed alphabetically, may assist readers in finding information more quickly.
What is indentation level ?
The much-despised formatting method of indentation gives readers a sense of continuity.
Reasons:
The Alphabetic Index's sub term entries and the Tabular List's inclusion and exclusion notes can both be used to find combination codes.
Only use the combination code when it accurately describes the diagnostic conditions in question or when the Alphabetic Index instructs you to. When the categorization offers a combination code that unambiguously identifies all of the components listed in the diagnosis, multiple coding shouldn't be employed. An additional code should be utilised as a secondary code when the combination code does not provide the requisite specificity in characterising the symptom or problem.
The statement is True
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Yikes! It is 11:35. Cinderella has to be home before midnight. She dances one more time with the prince, and it is a twelve minute song. She grabs some yummy mangoes from the buffet table, which takes her 6 minutes because of the line. It takes just eight minutes to get home in the pumpkin carriage. Will she make it? What time will she arrive home?
what is the probability of randomly selecting a college student at washington who either a male or a female? round to the nearest hundredth.
The probability that a randomly selecting a college student at Washington who either a male or a female is 33.3%
How do you calculate probability?The probability is computed by dividing the total number of possible outcomes by the number of possible ways the event might occur. Probability and odds are two distinct ideas. Odds are calculated by dividing the likelihood of an event by the likelihood that it won't.
What are the 3 types of probability?Classical: (equally probable outcomes) (equally probable outcomes) Let S be the sample space (the collection of all unique outcomes that might occur).
Subjective Probability. Definition of Relative Frequency.
Considering there are males, females and other genders
The probability that a randomly selecting a college student at Washington who either a male or a female is 33.3%
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What choices are correct?
A-The graph is increasing over the interval x<5
B-The graph is decreasing over the interval -4
C-The graph has exactly 2 relative minimums
D-The range is all real numbers
E-The domain is all real numbers
PLEASE HELP! it’s due today. Please give explanation if you
Can
the sum of two numbers is 22And their product is 105 what are the numbers?
Answer:
15 and 7 Im almost certain
Step-by-step explanation:
Which are pairs of vertical angles? \
A = ∠COB & ∠COA
B = ∠BOD & ∠AOD
C = ∠COB & ∠AOD
D = ∠AOD & ∠AOC
Answer:
it is b sorry I tried to work out it best have a nice day
Answer:
a=
Step-by-step explanation:
Need help with this.......
Answer:
The length of the hypotenuse = 14 square + 10 square
The length of the hypotenuse =14×14 + 10×10
=296ft
Lakita wants to go to trade school and study electronics for a two-year program. Her tuition and books will cost about $5,500 per year. She will also spend about $100 a month commuting from her parents’ house to school. How much will her education cost her in total?
Answer:
$13,400Step-by-step explanation:
Step one:
let us first compute the tuition and books for the two years
we are told that the tuition is $5,500 per year
For the two years,the tuition will be 5,500*2= $11,000
Step two:
we need to calculate the cost of transportation for the two years also
in two years there are 24 months
if Lakita will spend $100 per months
then in 24 months Lakita will spend= 24*100= $2400
Hence her education cost her in total is
=$11,000+$2400
=$13,400
In the past, the output of a process had a mean of 2.050 and a standard deviation of 0.020 liters. If a current sample of output had these values {2.038 2.054 2.053 2.055 2.059 2.059 2.009 2.042 2.053 2.047}, would that indicate that the process is still "in order" (as opposed to being "out of order")? What if the sample was {2.022 1.997 2.044 2.044 2.032 2.045 2.045 2.047 2.030 2.044}?
For the first sample {2.038 2.054 2.053 2.055 2.059 2.059 2.009 2.042 2.053 2.047}, the process is still "in order," while for the second sample {2.022 1.997 2.044 2.044 2.032 2.045 2.045 2.047 2.030 2.044}, the process might be "out of order."
To determine whether the process is still "in order" or "out of order," we can compare the current sample of output to the known mean and standard deviation of the process.
For the first sample {2.038 2.054 2.053 2.055 2.059 2.059 2.009 2.042 2.053 2.047}:
Calculate the sample mean by summing up all the values in the sample and dividing by the number of values (n = 10):
Sample mean = (2.038 + 2.054 + 2.053 + 2.055 + 2.059 + 2.059 + 2.009 + 2.042 + 2.053 + 2.047) / 10 = 2.048.
Compare the sample mean to the known process mean (2.050):
The sample mean (2.048) is very close to the process mean (2.050), indicating that the process is still "in order."
Calculate the sample standard deviation using the formula:
Sample standard deviation = sqrt(sum((x - mean)^2) / (n - 1))
Using the formula with the sample values, we find the sample standard deviation to be approximately 0.019 liters.
Compare the sample standard deviation to the known process standard deviation (0.020):
The sample standard deviation (0.019) is very close to the process standard deviation (0.020), further supporting that the process is still "in order."
For the second sample {2.022 1.997 2.044 2.044 2.032 2.045 2.045 2.047 2.030 2.044}:
Calculate the sample mean:
Sample mean = (2.022 + 1.997 + 2.044 + 2.044 + 2.032 + 2.045 + 2.045 + 2.047 + 2.030 + 2.044) / 10 ≈ 2.034
Compare the sample mean to the process mean (2.050):
The sample mean (2.034) is noticeably different from the process mean (2.050), indicating that the process might be "out of order."
Calculate the sample standard deviation:
The sample standard deviation is approximately 0.019 liters.
Compare the sample standard deviation to the process standard deviation (0.020):
The sample standard deviation (0.019) is similar to the process standard deviation (0.020), suggesting that the process is still "in order" in terms of variation.
In summary, for the first sample, the process is still "in order" as both the sample mean and sample standard deviation are close to the known process values.
However, for the second sample, the difference in the sample mean suggests that the process might be "out of order," even though the sample standard deviation remains within an acceptable range.
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The critical value, or z*, that is used to construct a confidence interval for a proportion depends upon? A. the confidence level. B. the sample size.C. the confidence level and the sample size. D. the sample size and the sample proportion. E. the confidence level, the sample size, and the sample proportion.
The critical value that is used to construct a confidence interval for a proportion depends upon C. the confidence level and the sample size.
The critical value used to construct the confidence interval for proportion depends on:
1) The sample size:
The probability changes as the sample size changes as the distribution of the test statistics is dependent on sample size, thus the critical value will depend on sample size.
2) The confidence level:
The critical value is always calculated by using the confidence level, so it is dependent on it.
The sample proportion is the observed value which is used to perform the test, but not to construct the critical value.
Thus the correct option is:
Option C: The confidence level and sample size.
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Thank you to who ever helps
Applying the transitive property of congruency and other postulates, lines l and m are proven to be parallel as explained below.
What is the Transitive Property of Congruency?The transitive property of congruency states that when two angles are sides are congruent to another third angle or side, then the three sides or angles are all congruent to each other.
For example, if <A = <C, and <B = <C, then <A = <B.
The proof that shows that lines l and m are congruent is explained below:
Statement Reason
1. r║s, <5 is congruent to <6 1. Given
2. <5 is supplementary to <4 2. Same-side interior angles theorem
3. <4 is supplementary to <6 3. Transitive property of congruency
4. l║m 4. Converse of same-side interior <s theorem
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How many quarts is 3 1/2 gallons?
Answer:
14
Step-by-step explanation:
Please help me with this question
3 t-shirts and 2 hats cost £14
2 t-shirts and 7 hats cost £15
Find the cost of one t-shirt
Find the cost of one hat
Answer:
The cost of one T-shirt is £4
The cost of a hat is £1
Step-by-step explanation:
If the star Aldebaran rises tonight at 2:00 a.m., when do you expect it to rise next month?
a) 11:00 pm.
b) midnight.
c) 1:00 am. d) 2:00 am. e) 3:00 am
Your answer is option b)
The time at which a star rises shifts approximately 4 minutes earlier each day, due to Earth's orbit around the Sun. Since there are roughly 30 days in a month, we can calculate the change in the rise time of Aldebaran over the course of a month.
Step 1: Calculate the time change over one month
30 days * 4 minutes per day = 120 minutes
Step 2: Convert minutes to hours
120 minutes ÷ 60 minutes per hour = 2 hours
Step 3: Subtract the time change from the current rise time
2:00 am - 2 hours = 12:00 am (midnight)
Therefore, you can expect Aldebaran to rise next month at midnight. The correct answer is b) midnight.
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At the local dairy farm, kareem buys a 32-oz container of yogurt for $2. 56. Jonah buys a 6-oz container of yogurt for $0. 48. Are the cost, y, in dollars and the amount of yogurt, x, proportional? explain. Write an equation to represent this relationship.
Yes, the cost y in dollars and the amount of yogurt x are proportional the equation is y = 0.08x.
Given:
At the local dairy farm, kareem buys a 32-oz container of yogurt for $2. 56. Jonah buys a 6-oz container of yogurt for $0. 48.
y varies directly as x :
y = kx
k = constant of proportionality
y = 2.56 and x = 32
y = kx
k = y/x
= 2.56/32
k = 0.08
substitute k we get
y = 0.08x.
so x and y are directly proportional.
Therefore Yes, the cost y in dollars and the amount of yogurt x are proportional the equation is y = 0.08x.
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For a certain relationship, y varies inversely with x. When x is 4, y is equal to 30. What is the value of y when x is equal to 10?
Step-by-step explanation:
inversely means
y = k/x
therefore
30 = k/4
120 = k
y = 120/10 = 12
FYI :
directly would mean
y = kx
The value of y will be 12 when x is equal to 10.
What is inverse variation?The relationship between two variables known as "inverse variation" occurs when the value of one variable increases while the value of the other variable decreases.
Given that, y varies inversely with x.
Here, y∝1/x
y=k/x
xy=k
When x is 4, y is equal to 30, we get
k=4×30
k=120
When x=10, we get
10y=120
y=12
Therefore, the value of y will be 12 when x is equal to 10.
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a food inspector examined 16 jars of a certain brand of jam to determine the percent of foreign im- purities. the following data were recorded: 2.4 2.3 3.1 2.2 2.3 1.2 1.0 2.4 1.7 1.1 4.2 1.9 1.7 3.6 1.6 2.3 using the normal approximation to the binomial dis- tribution, perform a sign test at the 0.05 level of signif- icance to test the null hypothesis that the median per- cent of impurities in this brand of jam is 2.5% against the alternative that the median percent of impurities is not 2.5%.
Since the p-value (0.034) is less than the significance level of 0.05, we reject the null hypothesis. This suggests evidence against the claim that the median percent of impurities in the brand of jam is 2.5%.
To perform the sign test, we compare the observed values to the hypothesized median value and count the number of times the observed values are greater or less than the hypothesized median. Here's how we can proceed:
State the null and alternative hypotheses:
Null hypothesis (H0): The median percent of impurities in the brand of jam is 2.5%.
Alternative hypothesis (Ha): The median percent of impurities in the brand of jam is not 2.5%.
Determine the number of observations that are greater or less than the hypothesized median:
From the given data, we can observe that 5 jars have impurity percentages less than 2.5% and 11 jars have impurity percentages greater than 2.5%.
Calculate the p-value:
Since we are performing a two-tailed test, we need to consider both the number of observations greater and less than the hypothesized median. We use the binomial distribution to calculate the probability of observing the given number of successes (jars with impurity percentages greater or less than 2.5%) under the null hypothesis.
Using the binomial distribution with n = 16 and p = 0.5 (under the null hypothesis), we can calculate the probability of observing 11 or more successes (jars with impurity percentages greater than 2.5%) as well as 5 or fewer successes (jars with impurity percentages less than 2.5%). Summing up these probabilities will give us the p-value.
Compare the p-value to the significance level:
Since the significance level is 0.05, if the p-value is less than 0.05, we reject the null hypothesis. Otherwise, we fail to reject the null hypothesis.
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x squared minus 39x+74=0
Answer:
-74
Step-by-step explanation:
Money from an allowance or job is known as what
Answer:
salary my guesss don't know right or wrong
Answer:
Money from an allowance or job is known as a minimum wage.