The required diameter of the can is approximately 1.4 inches.
The formula for the volume of a cylinder to set up an equation relating the diameter and height of the Can to its volume:
V = πr²h
The volume of the Can is 8 in.³, so we can substitute V equal to 8 into the equation:
8 = πr²h
We are also given that the height of the can is 5 and 1/4 inches or 5.25 inches. We can replace this value with the equation:
8 = πr²(5.25)
Simplifying, we can solve for r:
r² = 8 / (π(5.25))
r² ≈ 0.485
r ≈ 0.69
The diameter of the can is twice the radius, so we can calculate it as:
d ≈ 2(0.69)
d ≈ 1.4 inches
Rounding to the nearest tenth, we get:
d ≈ 1.4 inches
Therefore, the diameter of the can is approximately 1.4 inches.
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help i’m begging y’all
Answer:
1/7^8
Step-by-step explanation:
Quotient rule of exponents:
7^-6-(2)
7^-8
negative exponent rule:
1/7^8
Simon is making a frame for a photo that measures 6 inches by 8 inches. He wants the frame to be the same width all the way around and the total area of the frame and photo to be 120 square inches. Which quadratic equation represents the area of the picture and frame?
Answer: A
Step-by-step explanation:
blank+(-7)=3
plz help me nowwww!!!!!!!!!!!!!!!
Answer:
10
Step-by-step explanation:
10-7=3
hope this helps!
a bus drives for 3 and a half hours at an average speed of 56mph how far does the bus drive?
Answer:
196 miles
Step-by-step explanation:
distance (D) is calculated as
D = S × T ( S is average speed and T is time in hours )
here T = 3 and a half hours = 3.5 hours and S = 56 , then
D = 56 × 3.5 = 196 miles
square root of 1000 (simplified)
Answer:
10 √10
Step-by-step explanation:
Answer:
\(10\sqrt{10}\)
Step-by-step explanation:
The largest perfect square of the factors of 1000 is 100. We can therefore convert √1000 like this:
√100 × 10
Next, we separate the numbers inside the √ as such:
√100 × √10
√100 is a perfect square that equals 10. We can therefore put 10 outside the radical and get the final answer to square root of 1000 in simplest radical form as follows:
10√10
Rapunzel was setting up a room with tables for an event. The room had 4 walnuts tables, 9 poplar tables, 7 cedar tables, and 11 cherry tables
What is the probability that the first person to enter the room will be randomly seated at a walnut table?
The probability that the first person to enter the room will be randomly seated at a walnut table is approximately 0.129, or 12.9%.
To calculate the probability that the first person to enter the room will be randomly seated at a walnut table, we need to determine the total number of tables and the number of walnut tables specifically.
The total number of tables in the room is the sum of the walnut, poplar, cedar, and cherry tables:
Total number of tables = 4 walnut tables + 9 poplar tables + 7 cedar tables + 11 cherry tables = 31 tables.
The probability of being seated at a walnut table can be calculated by dividing the number of walnut tables by the total number of tables:
Probability = Number of walnut tables / Total number of tables = 4 walnut tables / 31 tables ≈ 0.129.
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WILL GIVE BRAINLIST TO BEST ANSWER
find the value of x
14 and 12
14 ) x + 37 + 37 = 180
or , x + 74 = 180
or , x = 180 - 74
or , x = 106
HERE for help me one more
Answer:
Im pretty sure its D.
Step-by-step explanation:
I think it would be option D. Is it considered the subsoil layer
What property is used in the second step of solving the inequality below?
5x-9<91
5x <100
x <20
A) identity property
B) addition property
C) multiplication property
D) transitive property
In the second step of solving the inequality 5x - 9 < 91, the property used is the addition property of inequalities.
This property states that adding the same value to both sides of an inequality does not change the inequality's direction. By adding 9 to both sides of the inequality, we aim to isolate the variable term. The inequality becomes 5x < 100.
The addition property allows us to perform this operation and maintain the validity of the inequality. It is a fundamental property in solving inequalities, enabling us to simplify and manipulate expressions.
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Convert and round to the proper Precision or accuracy. 21.4 grams= mg? * O .0214 mg О 214 mg О 214.0 mg O 21,400 mg 00214 mg
Answer: 21,400 mg
Step-by-step explanation: Multiply the mass value by 1000 .
Find the distance from the point A(2,−1) to the line y = −x+4. Round your answer to the nearest tenth.
Answer: um i think 300
Step-by-step explanation:
integer c is 2/3 of the way from A on the integer line. Determine C
A=-23
B=-5
Answer:
Please see picture below
Step-by-step explanation:
Jaidee has homework in seven subjects. She is deciding what order to complete them in.
This scenario involves a permutation as Jaidee is deciding the order in which she will complete her homework. There are 7 subjects, so the number of possibilities is 7! (7 factorial), which is 5040.
What is the explanation for the above response?The scenario involves a permutation because Jaidee is arranging the order in which she will complete her homework, which is a specific sequence.
As there are seven subjects, the number of possibilities can be calculated using the formula for permutations: n!/(n-r)!,
where n is the total number of items and
r is the number of items being chosen.
In this case, the total number of items is 7, and all 7 are being chosen.
Therefore, the number of possibilities is 7! (7 factorial), which is equal to 5040.
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Full Question:
Although part of your question is missing, you might be referring to this full question:
State if the scenario involves a permutation or a combination. Then find the number of possibilities.
Jaidee has homework in seven subjects. She is deciding what order to complete them in.
A random variable X is best described by a continuous uniform distribution from 20 to 45 inclusive. What is P(30 s X s 40)? Select one: a. .20 b. .40 C..60 d. .80
The answer is (b) 0.40. A random variable X is best described by a continuous uniform distribution from 20 to 45 inclusive.
The continuous uniform distribution is defined by the probability density function:
f(x) = 1/(b-a) for a ≤ x ≤ b
where a and b are the lower and upper limits of the distribution, respectively.
In this case, a = 20 and b = 45, so the probability density function is:
f(x) = 1/(45-20) = 1/25 for 20 ≤ x ≤ 45
To find P(30 ≤ X ≤ 40), we integrate the probability density function from 30 to 40:
P(30 ≤ X ≤ 40) = ∫30^40 (1/25) dx
P(30 ≤ X ≤ 40) = [x/25]30^40
P(30 ≤ X ≤ 40) = (40/25) - (30/25)
P(30 ≤ X ≤ 40) = 0.4
Therefore, the answer is (b) 0.40.
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w+(-x)-2/3 when w= -5/9 and x=4/3
9514 1404 393
Answer:
-2 5/9
Step-by-step explanation:
w +(-x) -2/3 = w -x -2/3 = -5/9 -4/3 -2/3
= -(5/9 +4/3 +2/3) = -(5/9 +(4+2)/3) = -(5/9 +2)
= -2 5/9
Anyone know the answer ?
Answer:
Decrease by 2 and 3
Then on x increase by 2 and 3
Step-by-step explanation:
please HELP me!
What is the solution to the system of equations?
Answer: (9,7)
Step-by-step explanation:
Given that ∠CEA is a right angle and Ray E B bisects ∠CEA, which statement must be true?
∠BEA ≅ ∠CEA
∠CEB ≅ ∠CEA
m∠CEB = 45°
m∠CEA = 45°
Answer:
option (C) i.e m∠CEB = 45°
Step-by-step explanation:
have a great day!
Answer:
C. m∠CEB = 45°
A school purchased sand to fill a sandbox on its playground. The dimensions of the sandbox in meters and the total cost of the sand in dollars are known. Which units would be most appropriate to describe the cost of the sand?
The most appropriate units to describe the cost of the sandbox would indeed be dollars.
When describing the cost of an item or service, it is essential to use the unit that represents the currency being used for the transaction. In this case, the total cost of the sand for the school's sandbox is given in dollars. To maintain consistency and clarity, it is best to express the cost in the same unit it was provided.
Using dollars as the unit for the cost allows for clear communication and understanding among individuals involved in the transaction or discussion. Dollars are widely recognized as the standard unit of currency in many countries, including the United States, where the dollar sign ($) is commonly used to denote monetary values.
Using meters, the unit for measuring the dimensions of the sandbox, to describe the cost would be inappropriate and could lead to confusion or misunderstandings. Mixing units can cause ambiguity and hinder effective communication.
Therefore, it is most appropriate to describe the cost of the sand in dollars, aligning with the unit of currency provided and commonly used in financial transactions. This ensures clarity and facilitates accurate comprehension of the cost associated with the sand purchase for the school's sandbox.
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-b - b + 5
...........................
Answer:
-b-b+5 = -2b+5
Let me know if this helps!
what percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line?
The percentage of the variation in y can be explained by the corresponding variation in x and the least - squares line
The value of the coefficient of determination r2 = 0.9617*0.9617 = 0.9249
percentage of the variation in y can be explained by the corresponding variation in x and the least - squares line is = 92.49%
So, percentage is unexplained = (100 - 92.49)%
= 7.51%
Therefore, the percentage of the variation in y that can be explained by the corresponding variation in x and the least-squares line is 92.49% . The percentage which is unexplained is 7.51% i.e. (100%−92.49%) .
Hence the variation in X and the least-squares line is 7.51%
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The number 512 is a perfect cube because 512 = 83.
Which number below is also a perfect cube?
300
125
150
256
Step-by-step explanation:
the number which is a perfect cube :
125, because 125 = 5³
A rectangular prism-shaped display case is 30 1/2 inches wide, 10 1/2 inches long, and 32 1/4 inches tall.
What is the volume of the display case in cubic inches?
Responses
73 1/4 in³
73 and 1 fourth, in³
320 1/4 in³
320 and 1 fourth, in³
10,328 1/16 in³
10328 and 1 sixteenth, in³
28,372 5/8 in
The volume of the display case is 2161 1/8 cubic inches.To find the volume of a rectangular prism-shaped display case, we multiply its length, width, and height.
Given that the display case is 30 1/2 inches wide, 10 1/2 inches long, and 32 1/4 inches tall, we can calculate the volume as follows:
Volume = Length * Width * Height
Using the given measurements:
Volume = 10 1/2 inches * 30 1/2 inches * 32 1/4 inches
To simplify the calculation, we can convert the mixed numbers to improper fractions:
Volume = (21/2) inches * (61/2) inches * (129/4) inches
Next, we multiply the fractions:
Volume = (21/2) * (61/2) * (129/4) = 17289/8
The resulting fraction, 17289/8, is an improper fraction. To convert it back to mixed number form:
Volume = 2161 1/8 in³.
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100 POINTS NEED IMMEDIATLY PLEASE HELP!!!
Determine the approximate ordered pair for f(x) = g(x).
There is a screenshot that I have attached and here are the options that you can answer:
(3, 12)
(3, 18)
(12, 3)
(18, 3)
The approximate ordered pair is the coordinate where both functions graph intercect
That's can be found only by observing graph.
As we observe we find that
The coordinate at where f(x)=g(x) is (3,18)
It means that
at this the values of both the functions are equal
i.e
f(3)=g(3)=18Answer:
b) (3, 18)
Step-by-step explanation:
f(x) = g(x) at the point where the two lines intersect.
From inspection of the graph, we can see that the x-value of the point of intersection is between 0 and 10. Therefore, from the options given, it must be x = 3 (since 12 > 10 and 18 > 10).
From inspection of the graph, we can see that the y-value of the point of intersection is between 10 and 20, but it's nearest to 20 than it is 10. Therefore, from the options given, it must be y = 18.
Therefore, the approximate ordered pair is (3, 18)
Homeroom Data of Tickets Sold:
20, 15, 19, 16, 10
Calculate the mean:
Drama Club Data of Tickets Sold:
19, 23, 11, 30, 27, 27, 22, 26, 16, 24
Calculate the mean:
1. the mean is 16
2. the mean is 22.5
the formula that can be used to calculate the mean is
= sum of terms/number of terms
(1) for the first question the mean can be calculated as follows
sum of terms= 20+15+19+16+10
= 80
number of terms= 5
mean= 80/5
= 16
(2) for the second question the mean can be calculated as follows
sum of terms= 19+23+11+30+27+27+22+26+16+24
= 225
number of terms= 10
mean= 225/10
= 22.5
Hence the mean for the first expression is 16 and the mean for the second expression is 22.5
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does this graph represent a function? yes or no ?
Which image most closely shows the pattern of glitter flow in the lava
lamp?
after gathering data on the effectiveness of company meetings, you decide to conduct a survey to obtain measurable qualitative and quantitative feedback. you will mail a survey to several companies. what are some disadvantages to using this type of data collection? check all that apply.
There are some disadvantages to using this type of data collection is:
Respondents may exaggerate or distort facts.Response rates may be low.Respondents may not represent an accurate population sample."Information available from the question"
In the question:
After gathering data on the effectiveness of company meetings, you decide to conduct a survey to obtain measurable qualitative and quantitative feedback. you will mail a survey to several companies.
To write the disadvantages to using this type of data collection.
Now, According to the question:
There are some disadvantages to using this type of data collection is:
Respondents may exaggerate or distort facts.Response rates may be low.Respondents may not represent an accurate population sample.Learn more about Disadvantage at:
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Sasha believes her soccer team plays better at away games than home games. Her team played 12 games at home and 12 games away. She recorded the wins over this season. Based on these results what is the probability for home and away wins. Is she right about her team playing better away?
To determine the probability of home and away wins, we need to know the number of wins for each category. Let's assume that Sasha's team won 8 games at home and 10 games away.
The probability of a home win can be calculated by dividing the number of home wins by the total number of home games:
Probability of Home Win = Number of Home Wins / Total Number of Home Games = 8 / 12 = 2/3 ≈ 0.67
The probability of an away win can be calculated by dividing the number of away wins by the total number of away games:
Probability of Away Win = Number of Away Wins / Total Number of Away Games = 10 / 12 ≈ 0.83
Based on these calculations, the probability of an away win (0.83) is higher than the probability of a home win (0.67). Therefore, Sasha's belief that her team plays better at away games seems to be supported by the data, as they have a higher probability of winning in away games compared to home games.
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The product of 7 and j is 91
j = 13
Step-by-step explanation:7×j = 91
j = 91 : 7
j = 13