How many significant figures would this calculation have if it were completed: \[ (9.04-8.23+21.954+81.0) \times 3.1416 \]
A) 3 B)4 C)5 D)6
The calculation \((9.04-8.23+21.954+81.0) \times 3.1416\) would have 4 significant figures.
To determine the number of significant figures in a calculation, we follow the rules for significant figures:
1. Addition and subtraction: The result should have the same number of decimal places as the measurement with the fewest decimal places.
2. Multiplication and division: The result should have the same number of significant figures as the measurement with the fewest significant figures.
Let's break down the calculation step by step:
\(9.04-8.23+21.954+81.0\) yields \(104.764\).
Now, multiplying this result by \(3.1416\) gives \(329.5719744\).
The measurement with the fewest significant figures in the calculation is \(3.1416\), which has 5 significant figures.
According to the rule for multiplication and division, the result should have the same number of significant figures as the measurement with the fewest significant figures. Hence, the result, \(329.5719744\), will be rounded to 4 significant figures.
Therefore, the calculation \((9.04-8.23+21.954+81.0) \times 3.1416\) would have 4 significant figures.
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A standing wave can be mathematically expressed as y(x,t) = Asin(kx)sin(wt)
A = max transverse displacement (amplitude), k = wave number, w = angular frequency, t = time.
At time t=0, what is the displacement of the string y(x,0)?
Express your answer in terms of A, k, and other introduced quantities.
The mathematical expression y(x,t) = Asin(kx)sin(wt) provides a way to describe the behavior of a standing wave in terms of its amplitude, frequency, and location along the string.
At time t=0,
the standing wave can be mathematically expressed as
y(x,0) = Asin(kx)sin(w*0) = Asin(kx)sin(0) = 0.
This means that the displacement of the string is zero at time t=0.
However, it is important to note that this does not mean that the string is not moving at all. Rather, it means that the string is in a state of equilibrium at time t=0, with the maximum transverse displacement being A.
As time progresses, the standing wave will oscillate between the maximum positive and negative transverse displacement values, creating a pattern of nodes (points of zero displacements) and antinodes (points of maximum displacement).
The wave number k and angular frequency w are both constants that are dependent on the physical properties of the string and the conditions under which the wave is being produced.
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Calculate using Pythagorean theorem picture above! Will mark brainliest
Which of the following numbers is rational? Select all that apply.
1. 7.6
2. 22/7
3. π
4. 1.01 (The one behind the decimal has an over line)
Answer:
answer no.2
Step-by-step explanation:
as we know rational number are those can be expressed as a ratio between 2 integers
2.85 kilograms of sugar is mixed with 3.15 kilograms of flour what percent of this mixture is flour?
Answer: 52.5%
Step-by-step explanation:
First add up both quantities to find out the total quantity of the mixture.
= 2.85 + 3.15
= 6 kg
The flour is 3.15 kg out of this total so the percentage is:
= 3.15 / 6 * 100%
= 52.5%
The diameter D of a sphere is 12.4 m. Calculate the sphere's surface area A.
Use the value 3.14 for , and round your answer to the nearest tenth.
The sphere has a surface area of 482.8064 square meters
How to determine the surface area of the sphere?From the question, the given parameters are:
Diameter, D = 12.4 meters
π = 3.14
The surface area of the sphere is calculated using the following formula
S = 4π(D/2)²
Substitute the given parameters in the above formula
So, we have
S = 4 * 3.14 * (12.4/2)²
Evaluate the exponent
This is represented as
S = 4 * 3.14 * 38.44
Evaluate the product
This is represented as
S = 482.8064
Hence, the surface area of the sphere is 482.8064 square meters
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the average amount of time that students use computers at a university computer center is 36 minutes with a standard deviation of 5 minutes. the times are known to be normally distributed. around 10,000 uses are recorded each week in the computer center. the computer center administrative committee has decided that if more than 2000 uses of longer than 40 minutes at each sitting are recorded weekly, some new terminals must be purchased to meet usage needs. should the computer center purchase the new computers? (round your percent to two decimal places, and round the number of computer users to the nearest user.) about % of uses will be longer than 40 minutes. out of 10,000 uses per week th
The computer center should purchase new computers.
The question requires finding out whether the computer center should purchase new computers or not. The information provided is that the average amount of time students use computers at the university computer center is 36 minutes, with a standard deviation of 5 minutes. The times are known to be normally distributed. Around 10,000 uses are recorded each week in the computer center. The computer center administrative committee has decided that if more than 2000 uses of longer than 40 minutes at each sitting are recorded weekly, some new terminals must be purchased to meet usage needs.
Calculations:
Firstly, we need to find the Z-value, which is (40-36)/5 = 0.8. Now using the Z-table, we can find the area under the curve which is 0.2119 or 21.19%.
It is given that 10,000 uses are recorded each week in the computer center. Therefore, the number of users expected to use computers for more than 40 minutes is:
10,000 × 0.2119 = 2119. Therefore, there are 2119 students who are expected to use the computers for more than 40 minutes per week. This is greater than the 2000 limit set by the committee. Therefore, the computer center should purchase new computers.
Conclusion:
The committee should purchase new computers because 21.19% of uses will be longer than 40 minutes. Out of 10,000 uses per week, there will be 2119 users expected to use computers for more than 40 minutes per week.
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The Debate Club and Math Club are each having a pizza party to celebrate the results of their state competitions. The Debate Club would like to order their pizza from Antonio's
Pizzeria at a cost of $12.10 per pizza and a $5. 25 delivery fee. The Math Club would like to order their pizza from Mamma Mia's Pizzeria at a cost of $11. 75 per pizza and a
C
represents the total cost C, and the number of pizzas, p. Determine how many pizzas each club can order
if both clubs have the same amount of money to spend. Is the solution viable or not viable?
$7.50 delivery fee. The system of equations
12.10p+5.25
C=11.75p+7.50
Part A
Select the correct statement
O Each club can purchase 6.43 pizzas and the solution is viable.
O Each club can purchase 7 pizzas and the solution is viable.
O Each club can purchase 6 pizzas, as 6.43 pizzas is not viable.
Each club does not have enough money to purchase 6 pizzas, the solution is not viable.
Each club can purchase 7 pizzas and the solution is viable.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given are the system of equations as -
{C} = 12.10p + 5.25
{C} = 11.75p + 7.50
We can write the system of equations as
{C} = 12.10p + 5.25
{C} = 11.75p + 7.50
For the same amount, we will equate both the equations as -
12.10p + 5.25 = 11.75p + 7.50
12.10p - 11.75p = 7.50 - 5.25
0.35p = 2.25
p = (2.25/0.35)
p = 6.4
Therefore, each club can purchase 7 pizzas and the solution is viable.
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Is -3 square root 8 rational or irrational
Answer:
irrational
Step-by-step explanation:
if we make a square root of 8. We all know that the product of rational and irrational is always irrational. Hence the product will be irrational.
A membership committee of three is formed from four eligible members. Let the eligible members be represented by A, B, C, and D. The possible outcomes include S
The correct statement is:
There are four ways to choose the committee.There are three ways to form the committee if person D must be on it.If persons B and C must be on the committee, there are two ways to form the committee.It is given that:
A membership committee of three is formed from four eligible members.
1) There are four ways to choose the committee.
This statement is true.
Since we have to choose 3 members out of the 4 members so we can use the method of combination.
2) There are three ways to form the committee if person D must be on it.
This statement is also true.
Since D has to be in the committee, this means we have to choose 2 more people out of the three people to form the committee.
3) If seven members are eligible next year, then there will be fewer combinations.
This statement is wrong.
Since we have to choose 3 members out of 7 members so the number of possible combinations will be:
There are 35 combinations possible.
4) If persons B and C must be on the committee, there are two ways to form the committee.
If B and C have to be in the committee then we have to choose just one person out of the two people left.
Hence, the statement is true.
5) If persons A and C must be on the committee, then there is only one way to form the committee.
If A and C have to be on the committee then as in the last option we have to choose any one of the two-person left.
So possible number of ways is 2.
Hence, the statement is false.
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Your question is incomplete. Please read below to find the missing content.
A membership committee of three is formed from four eligible members. Let the eligible members be represented by A, B, C, and D. The possible outcomes include S = {ABC, ABD, ACD, BCD}.
Which statements about the situation are true? Check all that apply.
There are four ways to choose the committee.
There are three ways to form the committee if person D must be on it.
If seven members are eligible next year, then there will be fewer combinations.
If persons B and C must be on the committee, there are two ways to form the committee.
If persons A and C must be on the committee, then there is only one way to form the committee.
Which statement best describes "willing suspension of disbelief"? A technique used by actors in which they defer their own reality to accept that of the play A dynamic in which the audience agrees to accept the fictional world of the play on an imaginative level while knowing it to be untrue. A psychological dynamic in which one group of audience members can affect the responses of others to an event, particularly if they share the same cultural background.
The statement that best describes "willing suspension of disbelief" is: A dynamic in which the audience agrees to accept the fictional world of the play on an imaginative level while knowing it to be untrue.
The concept of "willing suspension of disbelief" is an essential element in experiencing and appreciating works of fiction, particularly in theater, literature, and film. It refers to the voluntary act of temporarily setting aside one's skepticism or disbelief in order to engage with the fictional narrative or performance. It involves consciously accepting the imaginative world presented by the creator, even though it may contain unrealistic or fantastical elements. By willingly suspending disbelief, the audience allows themselves to become emotionally invested in the story and characters, making the experience more enjoyable and meaningful. This dynamic acknowledges the inherent fictional nature of the work while acknowledging that the audience is aware of its fictional status. It creates a mutual understanding between the audience and the creators, enabling the audience to fully immerse themselves in the narrative and connect with the intended emotions and themes of the work.
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K-12 ASSIGNMENT PLEASE HELP IF YOU HAVE DONE THIS (answers)
3. Sherelle and Venita’s grandmother said that one of the bags has a coin from 1916.
(a) What reasons might Sherelle give for saying that the 1916 coin is most likely in her bag?
(b) What reasons might Venita give for saying that the 1916 coin is most likely in her bag?
(c) Whose bag do you think is more likely to contain the 1916 coin? Explain your reasoning.
Answer:
What reasons might venita give for saying that the 1916 coin is most likely in her bag? Sherelle claims that she has 26 which is closer to 16 hence her chances are more.
Step-by-step explanation:
The cost of 1 cup is $10. IF the cups come in sets of 5 and I have $170, how many cups I buy?
Answer:
15
Step-by-step explanation:
5 X 10 = 50
170 / 50 = 3 sets = 15
simplify the following expression
(m3)÷m18
Answer:
\( \boxed{ \bold{ \frac{1}{ {a}^{15} } }}\)
Step-by-step explanation:
\( ({m}^{3} ) \: \div \: {m}^{18} \)
We remove unnecessary parentheses.\( {m}^{3} \: \div \: {m}^{18} \)
We calculate the quotient (it is negative).\( {m}^{ - 15} \)
We transform the term into positive with this expression:\( \boxed{ \boxed{{a}^{ - n} \: = \: \frac{1}{ {a}^{n} } }}\)
______________________
We apply the expression:\( \boxed{ \bold{ \frac{1}{ {a}^{15} } }}\)
MissSpanishAssessment: To help assess student learning in her developmental math courses, a mathematics professor at a community college implemented pre- and posttests for her students. A knowledge-gained score was obtained by taking the difference of the two test scores.
(a) What type of experimental design is this?
(b) What is the response variable in this experiment?
(c) What is the treatment?
The experimental design used in this case is a pre-post or before-after design. The response variable is the knowledge-gained score. The treatment in this experiment is the instructional intervention.
(a) The experimental design used in this case is a pre-post or before-after design. This design involves measuring the same individuals or groups before and after a treatment or intervention to assess any changes or differences. In this scenario, the pre-test and post-test are conducted to evaluate the impact of the intervention (teaching) on student learning.
(b) The response variable in this experiment is the knowledge-gained score. It represents the difference or change in test scores between the pre-test and post-test. The knowledge-gained score serves as a measure of the extent to which students' learning has improved as a result of the math course and instructional intervention.
(c) The treatment in this experiment refers to the instructional intervention implemented by the mathematics professor. It encompasses the various teaching methods, strategies, and materials employed to facilitate student learning in developmental math courses. The treatment could involve activities such as lectures, interactive discussions, practice exercises, assignments, or additional support provided to the students to enhance their math skills and knowledge.
By comparing the pre-test and post-test scores, the professor can determine the effectiveness of the treatment in improving student learning. The knowledge-gained score provides a quantitative measure of the extent to which students' knowledge and understanding have progressed over the course of the intervention. This information can be valuable for assessing the impact of the math courses and guiding future instructional practices.
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Help me find the answer
Answer:
2.30 = ?
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp side/ hypotenuse
sin 50 = ? / 3
Multiply each side by 3
3 sin 50 = ?
2.298133329 = ?
To the nearest hundredth
2.30 = ?
3. Find the value of a and b when
5+√6/5-√6 = a+b√6
The answer for A is,
\(a = 5 + \frac{ \sqrt{6} }{ \sqrt{5} } - \sqrt{6} - \sqrt{6b} \)
And the answer for B is,
\(b = - 1 + \frac{5 + \frac{ \sqrt{6} }{ \sqrt{5} } - a }{ \sqrt{6} } \)
hope it helps.
sorry of its wrong.
How do you solve quotients step by step?
We can Long Division method to solve quotients step by step
What is long division method and its steps ?
When splitting huge numbers, the task is divided into several sequential parts using the long division approach. The dividend is divided by the divisor, just as in conventional division problems, and the result is known as the quotient; occasionally, it also produces a remainder.
We need to comprehend a few stages in order to divide. A vinculum or right parenthesis separates the dividend from the quotient, while a vertical bar separates the divisor from the dividend. Let's now go through the long division stages listed below to comprehend the procedure.
1. Take the dividend's first digit starting from the left . Verify if this digit exceeds or is equal to the divisor.
2. Next, divide it by the divisor, and write the result as the quotient on top.
3. Subtract the outcome from the digit, and then put the difference below.
Step 4: Decrease the dividend's subsequent digit (if present).
Step 5: Carry out Step 4 again.
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pls help, i need this in a couple of minutes
Answer:
-2
Step-by-step explanation:
Let's remember how to find solutions off of a graph:
Where the two lines intersect!
These two lines intersect at (-2, 2)
The x-coordinate is -2
Thus, our answer is -2
Answer:
x = -2
Hope this helps!
Step-by-step explanation:
The solution to the system of equations is the point where the two lines meet, ( -2, 2 ).
Points on the graph are ( x-coordinate, y-coordinate ), so x is -2.
which triangle is ABC similar to and why?
The third one. They have the same angle measures (65, 65, 50)
Answer:
JEL
Step-by-step explanation:
ABC and JEL have the same angle measurements. The sum of the interior angles of a triangle add to 180
50 + 65 + 65 = 180
Helping in the name of Jesus.
what is twelve less than a variable
Answer:
x - 12
Step-by-step explanation:
"twelve" - number
"less than" - switches the entire expression
"a variable" - a unknown number shown as a letter. can be x.
Now we have cut the entire word expression into smaller peices, we can combine it into a actual expression.
12 - x will turn into:
x - 12
Hope this helped.
Answer:
x-12
Step-by-step explanation:
Let the variable be x
12 less than x
x-12
what is the slope line perpendicular to the equation 4x+3y=9
Answer:
m=3/4
Step-by-step explanation:
first, let's put the line 4x+3y=9 from standard form (ax+by=c) into slope-intercept form (y=mx+b)
we have the equation 4x+3y=9
subtract 4x from both sides
3y=-4x+9
divide by 3
y=-4/3x+3
perpendicular lines have slopes that are negative and reciprocal. If the slopes are multiplied together, the result is -1
so to find the slope of the line perpendicular to the line y=-4/3x+3, we can take the slope of y=-4/3x+3 (-4/3) multiply it by a variable (this is our unknown value), and have that set to -1
(m is the slope value)
-4/3m=-1
multiply by -3/4
m=3/4
therefore the slope of the perpendicular line is 3/4
hope this helps!! :)
Good morning can anybody help me out with this assignment please and thanks! \
please this if for an grade
Answer:
Hello im doing the same right now and i need help
Step-by-step explanation:
sorry though but its hard
HELP ASAP!!!!!
Write a function g whose graph represents the indicated transformation of the graph of f.
f(x)=4x+1; translation 2 units left.
HELP PLEASE
Answer:
The translation of 2 units left in function f (x) = 4x + 1 is 4x + 3.
Here,
Function is given as, f(x)=4x+1
And, translation 2 units left.
We have to find the function after translation.
Now,
Function is given as, f(x)=4x+1
After translation 2 units left the function is;
f (x) = 4x + 1 + 2
f (x ) = 4x + 3
Hence, the function after translation 2 units is f (x) = 4x + 3
91 more than a square of a number
Estimate a 15% tip for each bill shown.
a. $57.80
_______
b. $122.46
_______
Answer:
a. $57.80
$66.47
b. $122.46
$140.829
Step-by-step explanation:
find the volume of the shape
Answer:
42.875 cm^3
Step-by-step explanation:
Since cubes have the same length, width, and heigh measurements all around we can infer that every side is equal to 3.5 cm.
V = base × height × width
V = 3.5 cm × 3.5 cm × 3.5 cm
V = 42.875 cm^3
find
the
size of unknown angle
Answer:
To determine to measure of the unknown angle, be sure to use the total sum of 180°. If two angles are given, add them together and then subtract from 180°. If two angles are the same and unknown, subtract the known angle from 180° and then divide by 2.
Step-by-step explanation:
Hope this answer helps you :)
Have a great day
Mark brainliest
the radius of a spherical ball is increasing at a rate of 2 cmymin. at what rate is the surface area of the ball increas- ing when the radius is 8 cm?
The rate at which the surface area of the ball is increasing when the radius is 8 cm is 128π cm^2/min.
To find the rate of increase of the surface area of the ball, we need to use the formula for the surface area of a sphere, which is 4πr^2. Here, r is the radius of the sphere.
We are given that the radius of the ball is increasing at a rate of 2 cm/min. So, we can say that dr/dt = 2 cm/min. We need to find the rate at which the surface area is increasing when the radius is 8 cm. So, we need to find dA/dt when r = 8 cm.
To find dA/dt, we need to differentiate the formula for the surface area with respect to time. So, we get:
dA/dt = d/dt (4πr^2)
dA/dt = 8πr (dr/dt)
Substituting the values we know, we get:
dA/dt = 8π(8)(2)
dA/dt = 128π
So, the rate at which the surface area of the ball is increasing when the radius is 8 cm is 128π cm^2/min.
In summary, when the radius of a spherical ball is increasing at a rate of 2 cm/min, the rate at which the surface area of the ball is increasing can be found by differentiating the formula for surface area with respect to time and substituting the values we know. In this case, the rate of increase of surface area is 128π cm^2/min when the radius is 8 cm.
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Use the image down below and state the answer
The area and the perimeter of the compound figure are 95 square units and 43 units, respectively.
How to determine the area of a compound figure
In this question we must compute the area of a compound figure formed by four squares of different size. The area formula of a square are listed below:
A = l²
Where l is the side length of the square.
Now we proceed to determine the area of the compound figure by addition of areas:
A = 1² + 2² + 3² + 9²
A = 1 + 4 + 9 + 81
A = 14 + 81
A = 95
And the perimeter of the figure is equal to:
p = 3 · 3 + 4 · 1 + 6 + 3 · 9
p = 9 + 4 + 6 + 27
p = 16 + 27
p = 43
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