The volume of the hemisphere of radius 5m is (250/3)π m³.
We know that the volume of a hemisphere can be calculated using the formula:
V = (2/3)πr³
where, V ⇒ volume of the hemisphere
r ⇒ radius of the hemisphere.
Here,
The radius of the hemisphere, r = 5m
Substituting the radius value of 5 into the formula, we can calculate the volume:
V = (2/3) × π × 5³
Simplify the expression:
V = (2/3) × π × 125
Evaluate the expression:
V = (250/3)π cubic meters
Therefore, the volume of a hemisphere with a radius of 5m is approximately (250/3)π m³.
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PLEASE HELP I HAVE NO CLUE WHAT TO DO
Answer:
b= \frac{1}{2ha} -c
Step-by-step explanation:
you would multiply to remove the variable from the denominator and simplify
Exercice 1
Sarah, who is twenty years old, runs regularly. During her workouts, she monitors her heart rate.It thus determined its maximum recommended heart rate and obtained 193 beats per minute. When she is forty years old, her maximum heart rate will be 178 beats per minute.Is it true that over this twenty-year period his maximum heart rate will have decreased by about 8%?
It is true that Sarah's maximum heart rate over this twenty-year period will have decreased by approximately 8%.
How is the percentage decrease computed?The percentage decrease is determined by ascertaining the reduction or difference in heart rate at the beginning and at forty.
This difference becomes the numerator of the division operation by the heart rate at the beginning and then multiplied by 100.
Sarah's heart rate at twenty years = 193 beats per minute
Sarah's heart rate at forty years = 178 beats per minute
Difference (Decrease) in heart rate = 15 beats per minute (193 - 178)
Percentage decrease = 7.77% (15/193 x 100)
= 8%
Thus, we can conclude that Sarah's heart rate has decreased by about 8%.
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L 4.6.3 Test (CST): Linear Equations
me.
OA. y+4= -3(x-3)
OB. y-4=-3(x+3)
OC. y-4=3(x+3)
OD. y+4=3(x-3)
(3,-4)
The correct option is OA. y+4= -3(x-3). L 4.6.3 Test (CST): Linear Equations Solution: We are given that a line passes through (3,-4) and has a slope of -3.
We will use point slope form of line to obtain the equation of liney - y1 = m(x - x1).
Plugging in the values, we get,y - (-4) = -3(x - 3).
Simplifying the above expression, we get y + 4 = -3x + 9y = -3x + 9 - 4y = -3x + 5y = -3x + 5.
This equation is in slope intercept form of line where slope is -3 and y-intercept is 5.The above equation is not matching with any of the options given.
Let's try to put the equation in standard form of line,ax + by = c=> 3x + y = 5
Multiplying all the terms by -1,-3x - y = -5
We observe that option (A) satisfies the above equation of line, therefore correct option is OA. y+4= -3(x-3).
Thus, the correct option is OA. y+4= -3(x-3).
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easy one for you folks.
Answer:
if its easy do it
Step-by-step explanation:
Answer:
7.5/15 or something because yes
Which two points on the number line are opposites?
B
D
O points A and B
points B and C
O points C and D
O points A and D
Answer:
The answer is B, points B and C
How do you solve \(x^2 + 7x + 2 = 0\)?
Answer:
-7 ± √6
x = ----------------
2
Step-by-step explanation:
You have several options here. One would be "completing the square," and another would be "quadratic formula."
Here the coefficients of this quadratic are a = 1, b = 7 and c = 2.
The discriminant is therefore b^2 - 4(a)(c), or 7^2 - 4(1)(2) = 6.
The roots are thus:
-7 ± √6
x = ----------------
2
How do you divide fast without a calculator?
The simplest way to perform a division is long division and synthetic division.
What is division?
Division in mathematics is the process of dividing an amount into equal parts. For instance, we may split a group of 20 people into four groups of 5, five groups of 4, and so on.
There are two methods to perform division:
Long division: The mathematical procedure for splitting big numbers into more manageable groups or sections is known as long division. A difficulty can be solved by breaking it down into manageable parts. Dividends, divisors, quotients, and remainders all exist in long divisions.
Synthetic division: In algebra, synthetic division is a technique for manually dividing polynomials according to Euclid, requiring less writing and calculation than long division. Although the approach can be applied to division by any polynomial, it is often taught for division by linear monic polynomials.
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A -10 nC charge is located at (x, y) = (1.2 cm , 0 cm).
What is the x-component of the electric field at the position (x, y) = (−4.1cm, 0 cm)?Express your answer to two significant figures and include the appropriate units.
We can use Coulomb's law to calculate the magnitude of the electric field at a distance r away from a point charge Q:
E = k * Q / r^2
where k is Coulomb's constant, Q is the charge of the point charge, and r is the distance from the point charge.
In this problem, we have a point charge Q of -10 nC located at (1.2 cm, 0 cm), and we want to find the x-component of the electric field at a distance r = 5.3 cm away at position (-4.1 cm, 0 cm).
To find the x-component of the electric field, we need to use the cosine of the angle between the electric field vector and the x-axis, which is cos(180°) = -1.
So, the x-component of the electric field at position (-4.1 cm, 0 cm) is:
E_x = - E * cos(180°) = - (k * Q / r^2) * (-1)
where k = 9 x 10^9 N*m^2/C^2 is Coulomb's constant.
Substituting the given values, we get:
E_x = - (9 x 10^9 N*m^2/C^2) * (-10 x 10^-9 C) / (0.053 m)^2
E_x ≈ -30,566.04 N/C
Rounding this to two significant figures and including the appropriate units, we get:
The x-component of the electric field is about -3.1 x 10^4 N/C (to the left).
The coordinates of point A are 400 units of X and 40 units of Y. The coordinates of point B are 480 units of X and 60 units of Y. With X on the horizontal axis and Y on the vertical axis, the slope of the line between points A and B is
Answer:
The slope of the line between points A and B is 0.25
Step-by-step explanation:
Here in this question, we simply aim at calculating the slope of the line between two given points;
The points in question are;
A(400,40) and B(480,60)
Mathematically, the slope of the line can be calculated using the formula:
slope = (y2-y1)/(x2-x1)
Where ;
x1 = 400
y1 = 40
x2 = 480
y2 = 60
Substituting the values, we have;
slope = (60-40)/(480-400) = 20/80 = 1/4 = 0.25
GIVE CORRECT ANS FOR BRAINLIEST
\(2 \frac{5}{6} - 2 \frac{1}{2} \\ = \frac{17}{6} - \frac{5}{2} \\ = \frac{17 - 15}{6} \\ = \frac{2}{6} \\ = \frac{1}{2} \)
Answer:\( \frac{1}{2} \)
Hope it helps.
Do comment if you have any query.
A new building in the shape of a square pyramid is to be constructed. The slant height will be five times the side length of the base. There will be between 20,000 square feet and 50,000 square feet of construction material used for the outside of the building. What would be the maximum possible side length of the base of the building? Round your answer to the nearest foot.
A.
89 feet
B.
141 feet
C.
71 feet
D.
45 feet
The maximum possible side length of the base of the building is; C: 71 feet.
How to determine the maximum side length of a Pyramid?The given parameters of the new building in the shape of a square pyramid that is to be constructed are as follows:
Base is expressed as b
Slant height (l) is expressed as 5b
The lateral surface area of the square pyramid is calculated from the formula given as;
LSA = 2bl
Thus, the lateral surface area is expressed as;
L = 2 * b * 5b
L = 10b²
The total surface area is calculated using the formula:
T = L + b²
Thus, plugging in the value of 10b² for L gives the total surface area as;
T = 10b² + b²
T = 11b²
The maximum surface area is 50,000 square feet and so we can find b from the following expression;
11b² = 50000
Divide both sides of the equation by 11 to get;
b² = 50000/11
b = √(50000/11)
b = 71 feet to the nearest foot.
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victor, a student at um, conducted a similar survey among undergraduate students at the university of michigan using a random sample of the same size from the study conducted at cornell university and obtained the same sample proportion. the undergraduate student body at the university of michigan is almost twice as large as the undergraduate student body at cornell university. victor is concerned that the computation of the margin of error for a confidence interval for the population proportion will be affected by the population size. do you agree with victor's concern?
Yes, Victor needs to have similar portion of the population in the sample.
What is population size?
The number of objects inside a geographical area that has been arbitrary assigned as the population size.
In a fair, unbiased poll
Population proportion plus random error equals sample proportion.
According to the Normal Approximation, the standard deviation of the distribution of these random mistakes across all feasible samples is
\(\sqrt{\frac{\text{Population proportion}(1-\text{Population proportion})}{n}}\)
The sample estimate's variance from the actual population value is known as the random error. Numerous alternative summaries, such as sample averages or discrepancies between two sample proportions or averages, are likewise consistent with the observation that random mistakes follow the normal curve.
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Write a mathematical equation to justify the mathematical statement given below. log
8
(1)=0 Let (x)=log
4
(x). Evaluate (1024). Hint: apply the definition of a logarithm Write a mathematical equation to justify the statement: ln(17)≈2.832.
The log 8(1) = 0Let x = log4(x) Evaluate (1024)We know that the logarithm of a number in a given base is the power to which the base must be raised to get the number.
For example, if the base is 2, then log2(8) = 3 because 23 = 8.
Using this definition, we can justify the statement log8(1) = 0 as follows:log8(1) = 0 because 80 = 1. This means that the power to which 8 must be raised to get 1 is 0.
Therefore, log8(1) = 0.Next, we have:x = log4(x) This means that 4 to the power of x equals x. We can solve for x as follows:4x = x4x - x = 0x(4 - 1) = 0x = 0 or x = 1Plugging in x = 1, we get:log4(1) = 1
This is true because 41 = 1. Finally, we can evaluate (1024) as follows:(1024) = (210)10 = 210·10 = 210+1 = 211This is true because 210 is the base-2 logarithm of 1024. Therefore, (1024) = 211.
Now, we need to write a mathematical equation to justify the statement ln(17) ≈ 2.832. To do this, we need to know the definition of the natural logarithm function, denoted as ln(x).
The natural logarithm of a positive number x is the logarithm of x in the base e, where e is a mathematical constant approximately equal to 2.71828. Therefore, we have ln(17) ≈ 2.832 because e2.832 ≈ 17.
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I need this ASAP
What is the volume to the nearest integer
Answer:
C
Step-by-step explanation:
What is the difference between 30% interest charged for a payday loan and a 30% APR on a credit card?
The main difference is interest charged for a payday loan is typically over a short period, whereas credit card represents the annualized interest rate over a year.
The payday loan interest is a one-time charge, while the credit card APR accumulates over time if the balance is not paid in full.
For a payday loan, the 30% interest is typically charged over a short period, often within a few weeks.
This means that if you borrow $100, you would need to repay $130, including the $30 interest, within that short timeframe.
On the other hand, a 30% APR on a credit card represents the annualized interest rate charged on the outstanding balance. This interest is spread out over a year.
If you have an outstanding balance of $100 on a credit card with a 30% APR, the interest charged over a year would be $30.
In summary, the main difference is that the 30% interest charged for a payday loan is typically applied over a short period, whereas the 30% APR on a credit card represents the annualized interest rate over a year.
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In Tableau, a(n) ________ allows a visualization developer or
user to dynamically remove rows from the visualization
a) Filter
b) calculated field
c) parameter
d) table calculation
In Tableau, a filter allows a visualization developer or user to dynamically remove rows from the visualization. Thus, Option A is the answer.
What is Tableau?
Tableau is an interactive and intuitive data visualization tool that enables people to see and understand data. It provides a variety of data exploration, modelling, and visualization options. Tableau is one of the best data visualization software available in the market. It provides an easy way to integrate data from various sources. With Tableau, you can easily create interactive and visually appealing charts, graphs, and other types of visualizations that are easy to understand and interpret.
What is a filter?
In Tableau, a filter is a tool that allows you to selectively display data from a larger dataset based on certain conditions. Filters help you to narrow down your data to the most relevant information so you can make better decisions based on your analysis. Filters can be applied to different dimensions and measures to help you get a better view of your data. Tableau allows you to filter your data using various types of filters such as categorical, continuous, and relative filters. You can also create custom filters using calculated fields and parameters.
A filter allows a visualization developer or user to dynamically remove rows from the visualization. Therefore, the correct option is (a) Filter.
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A retail establishment closes each evening. If the establishment is open from 9 am to 5 pm, the objective of a simulation might be to estimate some measure of the
quality of customer service over the period beginning at 9 am and ending when the last customer who entered before the doors closed 5 pm has been served.
What type of model is the above model according to the output analysis?
According to the output analysis, the model presented above is of Discrete-event simulation (DES) type.
What is Discrete-event simulation (DES)?
Discrete-event simulation (DES) is indeed a type of computer-based simulation where events occur at specific points in time. In DES, a system's behavior is modeled by specifying the sequence of events that occur during the system's lifespan.
In a discrete-event simulation, the state of the system changes only when events occur, rather than continuously evolving over time. Events represent significant occurrences or activities within the system, such as customer arrivals, service completions, or resource allocations. Each event is associated with a specific time or occurrence point, and the simulation progresses by processing events in chronological order.
DES is particularly useful for modeling complex systems where the timing of events and their interactions play a crucial role. It allows for capturing the dynamic nature of the system, simulating the flow of entities (such as customers, vehicles, or messages) through the system, and observing the effects of event sequencing and resource allocation on system performance.
By simulating the system and observing the events and their consequences, DES enables analysts to evaluate different scenarios, study the impact of various parameters, and optimize system design or operation. It provides insights into system performance measures, such as throughput, waiting times, resource utilization, or customer satisfaction.
Overall, discrete-event simulation is a powerful technique for modeling and analyzing complex systems with discrete changes, events, and interactions over time.
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The model above is known as a discrete-event simulation model according to the output analysis.
A discrete event simulation is a type of computer-based modeling where a series of discrete events in a system are simulated.
In such models, the system under consideration evolves through a series of discrete events that are instantaneous.
For example, in the retail establishment model, each customer arriving at the store would be considered a separate, discrete event.
The simulation would model the sequence of events that occur between the time the store opens at 9 am and when the last customer leaves before closing time at 5 pm.
The objective of the simulation would be to estimate some measure of the quality of customer service during this time period.
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Solve for x 25x+5 10x
Answer:
x = -1/3
Step-by-step explanation:
I think you mean 25x+5=10x
Explain the difference between Surface Area and Volume using complete sentences.
Search entries or author
Unread
+
Reply
I
Answer: Surface are is the space that surrounds a shape or figure whereas volume is the amount of space inside of a shape or figure.
Step-by-step explanation:
Y is less than or equal to
Answer:
less than I think
not sure tho
Evan wants to make an array of 32 miniature cars. What are all the different ways Evan can place the cars?
Answer:
6
Step-by-step explanation:
An array will have would constitute the shape of a parallelogram, in which you are essentially solving for s₁ and s₂. Note that there are 32 miniature cars in all, in which both sides, when multiplied, must result in said number:
32 x 1 = 32
2 x 16 = 32
4 x 8 = 32
8 x 4 = 32
16 x 2 = 32
1 x 32 = 32
There are 6 ways for Evan to create a array of 32 miniature cars.
~
help pls ill name brainiest
Answer:
4,260books
Step-by-step explanation:
20.50-11.50=9
38,340/9=4,260
Your welcome
Answer:
about 160
Step-by-step explanation:kkkkkk
How many terms are in the following geometric sequence? Type your numerical answer only. Do not type any additional characters.
0.0625, 0,25, 1, 4194304
Given:
The given geometric sequence is:
0.0625, 0.25, 1, ..., 4194304
To find:
The number of terms in the given geometric sequence.
Solution:
We have,
0.0625, 0.25, 1, ..., 4194304
Here, the first term is 0.0625 and the common ratio is:
\(r=\dfrac{0.25}{0.0625}\)
\(r=4\)
The nth term of a geometric sequence is:
\(a_n=ar^{n-1}\)
Where, a is the first term and r is the common ratio.
Putting \(a_n=4194304, a=0.0625, r=4\) in the above formula, we get
\(4194304=0.0625(4)^{n-1}\)
\(\dfrac{4194304}{0.0625}=(4)^{n-1}\)
\(67108864=(4)^{n-1}\)
\(4^{13}=(4)^{n-1}\)
On comparing both sides, we get
\(13=n-1\)
\(13+1=n\)
\(14=n\)
Therefore, the number of terms in the given geometric sequence is 14.
Find the slope of the line below. Enter your answer as a fraction or decimal.
Use a slash mark (/) as the fraction bar if necessary.
(-8,0)
-10
10+
-10+
Answer here
(7,3)
10
SUBMIT
The slope of the line above include the following: 1/5.
How to calculate or determine the slope of a line?In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;
Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope (m) = rise/run
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
By substituting the given data points into the formula for the slope of a line, we have the following;
Slope (m) = (3 - 0)/(7 + 8)
Slope (m) = (3)/(15)
Slope (m) = 1/5.
Based on the graph, the slope is the change in y-axis with respect to the x-axis and it is equal to 1/5.
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Solve for m.
5 + 2m = 9
Answer:
m = 2
Explanation:
Question 2 of 10
Harriet buys lunch at school every day. She always gets pizza when it is
available. The cafeteria has pizza about 80% of the time.
Harriet runs a simulation to model this using a random number generator.
She assigns these digits to the possible outcomes for each day of the week:
• Let 0 and 1 = no pizza available
• Let 2, 3, 4, 5, 6, 7, 8, and 9 = pizza available
The table shows the results of the simulation
The estimated probability that Harriet will eat pizza for lunch every day next week is: 5/10 = 50%
Estimated probability
Simulation
When pizza is not available=0 and 1
When pizza is available=2 to 9
This means that the simulation of when she eats pizza for lunch digits must be from 2 to 9.
The results of eating pizza for lunch are 5 which includes:
73676
45467
95592
82739
38448
Probability =5/10
Probability=0.5×100
Probability= 50%
Therefore the estimated probability that Harriet will eat pizza for lunch every day next week is: 5/10 = 50%.
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If you roll a number cube 96 times, how many times would you expect to roll a three or a six?
a. 36
b. 32
c. 34
d. 38
ANSWER FAST (show work please)
The calculated number of times you would expect to roll a three or a six is 32 times
How many times would you expect to roll a three or a six?From the question, we have the following parameters that can be used in our computation:
Cube = 96
In a cube, we have the following probability equation
P(3 or 6) = 1/6 + 1/6
When the sum is evaluated, we have
P(3 or 6) = 2/6
So, when the die is rolled 96 times, we have
Expected value = 2/6 * 96
Evaluate the products
Expected value = 32
Hence, the expected number of times is 32
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if the correlation between x and y is equal to -1.0, what do we know about the prediction of y by x?
if the correlation between x and y is equal to -1.0, then we know that the prediction of y by x is perfect
The correlation coefficient is a unitless number and must always lie between –1.0 and +1.0, inclusive.
The correlation coefficient, r , gives us information about the strength and direction of a linear relationship between any two variables. (r > 0 is a positive correlation, r < 0 is negative, and |r| closer to 1 means a stronger correlation.
The larger r is in absolute value, the stronger the relationship is between the two variables.
If r is the correlation between two variables x and y then -r is the correlation between y and x
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what is the slope for y=3x+6
The formula for slope is y=mx+b.
In this problem m=3; meaning the slope is 3.
Answer:
m = 3
Step-by-step explanation:
y = 3x + 6
Slope formula
y = mx + b
m = 3
Rewrite one eighteenthx3y + seven eighteenthsxy2 using a common factor.
one thirdxy(6x2 + 7y)
one thirdx2y(6x2 + 9y)
one eighteenthxy(x2 + 7y)
one eighteenthx3y2(y + 7)
Answer:
C
Step-by-step explanation:
1/18 x³y + 7/18 xy²
1/18 xy (x² + 7y)