The finite population correction factor is used in computing the standard error of the sample mean when the sample size is smaller than 5% of the population size.
The finite population correction factor is a adjustment made to the standard error of the sample mean when the sample is taken from a finite population, rather than an infinite population.
It accounts for the fact that sampling without replacement affects the variability of the sample mean.
When the sample size is relatively large compared to the population size (more than half), the effect of sampling without replacement becomes negligible, and the finite population correction factor is not necessary.
In this case, the standard error of the sample mean can be estimated using the formula for sampling with replacement.
On the other hand, when the sample size is small relative to the population size (less than 5%), the effect of sampling without replacement becomes more pronounced, and the finite population correction factor should be applied.
This correction adjusts the standard error to account for the finite population size and provides a more accurate estimate of the variability of the sample mean.
Therefore, the correct answer is option 2: the finite population correction factor is used when the sample size is smaller than 5% of the population size.
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What is the result of subtracting the second equation from the first -2x+7y=-5 -2x-4y=6
Answer:
0x+11y=-11
Step-by-step explanation:
hope this helps
plzz mark me brainliest
Answer:
y=-1
Step-by-step explanation:
-2×+7y=-5
- -2×-4y=6
11y=-11
But you don't leave the answer like that
You need to simplify
So
11y=-11
y=-11
11
y=-1
These two images show steps in a proof of the Pythagorean theorem. Which
of the following statements about the proof is false?
A. The triangles in step 1 have the same combined area as the triangles in step 2.
B. The area of the interior square in step two is greater than the combined area of the two interior squares in step 1.
C. The proof shows that a2+ B2=C2
D. If you subtract the sum of the areas of the four triangles from the complete figure in both steps, the remaining areas are equal.
Answer: B, the area of interior square in step 2 is greater than the combined area of the two interior squares in step 1.
Step-by-step explanation: I took the quiz and got it right
The area of the interior square in step 2 is greater than the combined area of the two interior squares in step 1. Then the correct option is B.
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
These two images show steps in the proof of the Pythagorean theorem.
The area of the interior square in step 2 is greater than the combined area of the two interior squares in step 1.
Then the correct option is B.
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Evaluate 1/5t + 1/10 when t= 1/2
Step-by-step explanation:
\( \frac{1}{5} ( \frac{1}{2} ) + ( \frac{1}{10} ) \\ \frac{1}{10} + \frac{1}{10} \\ = \frac{2}{10} \\ = \frac{1}{5} \)
91) __________ involves the analysis of accumulated data and involves a __________. a) OLAP, database b) OLAP, data warehouse c) OLTP, database d) OLTP, data warehouse
OLAP is used for the analysis of accumulated data, and it requires a data warehouse.
while OLTP is used for transaction processing and requires a database optimized for real-time transaction processing. The analysis of accumulated data is known as Online Analytical Processing (OLAP), and it involves a data warehouse. OLAP is a business intelligence tool used for multi-dimensional analysis of large data sets, while a data warehouse is a central repository that stores historical and current data from multiple sources in a structured manner. OLAP allows users to perform complex queries on large data sets, analyze trends, and make informed business decisions. It is often used in data mining and decision support systems. OLAP tools can be used to slice and dice data, drill down to more detailed data, and roll up to higher levels of summary data. OLAP is primarily used for analytical purposes and is not designed for transaction processing. On the other hand, a data warehouse is designed to support OLAP and is used for storing large amounts of historical data that can be queried and analyzed. Data is extracted from various sources, transformed, and loaded into the data warehouse in a structured format, enabling efficient querying and analysis. OLTP (Online Transaction Processing), on the other hand, is a type of transaction processing that is designed for processing real-time transactions in databases. It is used for day-to-day operations such as order processing, inventory management, and customer management. OLTP is optimized for processing large volumes of transactions in real-time, and is not suitable for analytical purposes.
In summary, OLAP is used for the analysis of accumulated data, and it requires a data warehouse, while OLTP is used for transaction processing and requires a database optimized for real-time transaction processing.
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.
3. Which ordered pair is a solution to the system of linear equation below?
y - x= -4
-4x – 6y= -16
A. (0,-4)
B. (-4,0)
C. (0,4)
D. (4,0)
Answer:
D
Step-by-step explanation:
y - x = - 4 ( add x to both sides )
y = x - 4 → (1)
- 4x - 6y = - 16 → (2)
substitute y = x - 4 into (2)
- 4x - 6(x - 4) = - 16
- 4x - 6x + 24 = - 16
- 10x + 24 = - 16 ( add 24 to both sides )
- 10x = - 40 ( divide both sides by - 10 )
x = 4
substitute x = 4 into (1)
y = 4 - 4 = 0
solution is (4, 0 )
Answer:
\(x = 4 \: and \: y = 0 \\ \)
D. (4,0)
Step-by-step explanation:
\(y - x = - 4 \\ - 4x - 6y = - 16 \\ \\ y = x - 4\)
since y is x-4, we can substitute it into the second equation
\( - 4x - 6(x - 4) = - 16 \\ - 4x - 6x + 24 = - 16 \\ - 10x + 24 = - 16 \\ - 10x = - 16 - 24 \\ - 10x = - 40 \\ \frac{ - 10} {- 10} x = \frac{ - 40}{ - 10} \\ \\ x = 4\)
Since x=4, we can now find y:
\(- 4x - 6y = - 16 \\ - 4(4) - 6y = - 16 \\ - 16 - 6y = - 16 \\ \\ \frac{ - 6}{ - 6}y = \frac{ - 16 + ( - 16)}{ - 6} \\ \\ y = \frac{0}{6} \\ \\ y = 0 \)
Therefore (4,0) is the answer
5/6 x 2 1/5 will be. Less greater or equal to 2 1/5
Answer:
Less greater
Step-by-step explanation:
Firstly, let's solve:
\(\frac{5}{6}\times2\frac{1}{5}\)
Convert to improper fraction
\(=\frac{5}{6}\cdot \frac{11}{5}\)
Cancel common factor: 5
\(\frac{11}{6}\)
Mixed fraction
\(=1\frac{5}{6}\)
2 1/5 > 1 5/6
Therefore, 1 5/6 is less greater than 2 1/5
~Lenvy~
need help to find equations that solve -1/2.
Three equations with a solution of -1/2 are given as follows:
5x + 3 = 7x + 4.6x + 4 = 8x + 5.7x + 5 = 9x + 6.What is a system of equations?A system of equations is when multiple variables are related, and equations are built to find the values of each variable, according to the relations given in the problem.
One example of a system of equations is when two equations are equaled, as is the case for this problem:
ax + b = cx + d.
We want solution of -1/2, hence:
x = -1/2
(a - c)x = d - b.
Thus:
a - c = -2. -> c = a + 2.d - b = 1. -> d = b + 1.Then three possible cases are given as follows:
a = 5, c = 7, b = 3, d = 4: 5x + 3 = 7x + 4.a = 6, c = 8, b = 4, d = 5: 6x + 4 = 8x + 5.a = 7, c = 9, b = 5, d = 6: 7x + 5 = 9x + 6.More can be learned about a system of equations at https://brainly.com/question/24342899
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Find me tax multiplier or the answers
The tax multipliers from the MPC's and MPS's are
MPC = 0.90: Tax multiplier = -9MPS = 0.20: Tax multiplier = -4MPC = 0.75: Tax multiplier = -3MPS = 0.50: Tax multiplier = -1Finding the tax multipliers from the MPC's and MPS'sFrom the question, we have the following parameters that can be used in our computation:
The MPC's and MPS's
The tax multipliers is calculated using
Tax multiplier = -MPC / (1 - MPC) or
Tax multiplier = - (1 - MPS) / MPS
Using the above as a guide, we have the following:
MPC = 0.90
Tax multiplier = -0.90/(1 - 0.90)
Tax multiplier = -9
MPS = 0.20
Tax multiplier = -(1 - 0.20)/0.20
Tax multiplier = -4
MPC = 0.75
Tax multiplier = -0.75/(1 - 0.75)
Tax multiplier = -3
MPS = 0.50
Tax multiplier = -(1 - 0.50)/0.50
Tax multiplier = -1
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calculate the volume when the area completely enclosed by the graphs y=x^2 and y= (3/(1 x^3)) is revolved about the x-axis
The volume enclosed by the two curves when revolved about the x-axis is \(\(\frac{6\pi}{5} \ln 3 - \frac{3\pi}{2} \cdot 3^{\frac{4}{5}}\).\) To find the volume when the area enclosed by the graphs of \(\(y = x^2\)\)and \(\(y = \frac{3}{x^3}\)\) is revolved about the x-axis, we can use the method of cylindrical shells.
First, let's find the points of intersection between the two curves by setting them equal to each other:
\(\[x^2 = \frac{3}{x^3}\]\)
To simplify this equation, we can multiply both sides by \(\(x^3\)\):
\(\[x^5 = 3\]\)
Now, taking the fifth root of both sides:
\(\[x = \sqrt[5]{3}\]\)
So the two curves intersect at \(\(x = \sqrt[5]{3}\)\).
To calculate the volume area enclosed by the graphs of \(\(y = x^2\)\)and \(\(y = \frac{3}{x^3}\)\) is revolved about the x-axis, we need to integrate the circumference of each cylindrical shell multiplied by its height. The height of each shell is the difference in the y-values of the two curves, and the circumference is\(\(2\pi x\)\).
Let's integrate from \(\(x = 0\)\) to \(\(x = \sqrt[5]{3}\)\):
\(\[V = \int_0^{\sqrt[5]{3}} 2\pi x \left(\frac{3}{x^3} - x^2\right) \, dx\]\)
Simplifying this expression:
\(\[V = 2\pi \int_0^{\sqrt[5]{3}} \left(\frac{3}{x} - x^3\right) \, dx\]\)
Integrating each term separately:
\(\[V = 2\pi \left[3 \ln|x| - \frac{x^4}{4}\right]_0^{\sqrt[5]{3}}\]\)
Plugging in the limits of integration:
\(\[V = 2\pi \left[3 \ln|\sqrt[5]{3}| - \frac{\sqrt[5]{3}^4}{4}\right] - 2\pi \left[3 \ln|0| - \frac{0^4}{4}\right]\]\)
Since \(\(\ln|0|\)\)is undefined, the second term on the right side is zero:
\(\[V = 2\pi \left[3 \ln|\sqrt[5]{3}| - \frac{\sqrt[5]{3}^4}{4}\right]\]\)
Simplifying further:
\(\[V = 2\pi \left[3 \ln 3^{\frac{1}{5}} - \frac{3}{4} \cdot 3^{\frac{4}{5}}\right]\]\)
Using the properties of logarithms, we can simplify the first term:
\(\[V = 2\pi \left[3 \cdot \frac{1}{5} \ln 3 - \frac{3}{4} \cdot 3^{\frac{4}{5}}\right]\]\)
\(\[V = \frac{6\pi}{5} \ln 3 - \frac{3\pi}{2} \cdot 3^{\frac{4}{5}}\]\)
So the volume enclosed by the two curves when revolved about the x-axis is \(\(\frac{6\pi}{5} \ln 3 - \frac{3\pi}{2} \cdot 3^{\frac{4}{5}}\).\)
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Question 5 [14] Derive the firefighters' formula for nozzle discharge \( (\mathrm{L}) \) in litres per minute from the formula for quantity of water \( (Q) \) in cubic metres per second.
The firefighters' formula for nozzle discharge (L) in liters per minute can be derived from the formula for the quantity of water (Q) in cubic meters per second.
The formula for the quantity of water (Q) in cubic meters per second is given by:
Q=A×V
where A is the cross-sectional area of the pipe or nozzle and V is the velocity of the water.
To convert the quantity of water from cubic meters per second to liters per minute, we need to consider that 1 cubic meter is equal to 1000 liters, and 1 minute is equal to 60 seconds.
First, we can express the quantity of water (Q) in liters per second:
\(Qx_{litres/second} = Q_{cubic metres/second} * 1000\)
Then, we can convert the quantity of water from liters per second to liters per minute:
\(Qx_{litres/secminuteond} = Q_{litres/second} * 1000\)
By substituting the value of Q from the original formula, we get:
L=A×V×1000×60
This is the firefighters' formula for nozzle discharge (L) in liters per minute. It takes into account the cross-sectional area of the nozzle and the velocity of the water, allowing firefighters to estimate the discharge rate in liters per minute for effective firefighting operations.
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let the ratio of two numbers x+1/2 and y be 1:3 then draw the graph of the equation that shows the ratio of these two numbers.
Step-by-step explanation:
since there is no graph it's a bit hard to answer this question, but I'll try. I can help solve the equation that represents the ratio of the two numbers:
(x + 1/2)/y = 1/3
This can be simplified to:
x + 1/2 = y/3
To graph this equation, you would need to plot points that satisfy the equation. One way to do this is to choose a value for y and solve for x. For example, if y = 6, then:
x + 1/2 = 6/3
x + 1/2 = 2
x = 2 - 1/2
x = 3/2
So one point on the graph would be (3/2, 6). You can choose different values for y and solve for x to get more points to plot on the graph. Once you have several points, you can connect them with a line to show the relationship between x and y.
(Like I said, it was a bit hard to answer this question, so I'm not 100℅ sure this is the correct answer, but if it is then I hoped it helped.)
If $300 is invested at a rate of 5% per year and is compounded quarterly, how much will the investment be worth in 20 years?
Use the compound interest formula A equals P times the quantity 1 plus r divided by n end quantity raised to the power of n times t..
$810.45
$515.28
$384.61
$109.67
Answer:
(a) $810.45
Step-by-step explanation:
You want the value of an investment of $300 earning 5% interest compounded quarterly for 20 years.
Compound interestThe compound interest formula tells you the value is ...
A = P(1 +r/n)^(nt)
where P = 300, r = 0.05, n = 4, t = 20.
Using the given parameters in the given equation, you find the account value to be ...
A = $300(1 +0.05/4)^(4·20) ≈ $810.45
__
Additional comment
The "rule of 72" tells you the account value will approximately double in a number of years equal to 72 divided by the interest rate percentage: 72/5 = 14.4 years. After 20 years, it will be worth more than that doubled amount, $600. This only leaves one reasonable answer choice.
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F(x) = x^3 + x^2-5x-6 at x=2
Answer:
3^2+2^2-5×2-6
9+4-10-6
-3
Step-by-step explanation:
-3 is the answer
Answer:
It could be solved by filling in "x" as 2.
Step-by-step explanation:
F(x) = 2^3 + x^2 - 5(2) - 6
f(x) = 8 + 4 -10 - 6
f(x) = 12 -16
= -4
Hope this is easy enough to understand.
Vector u has initial point P at (0, 0) and terminal point Q at (5, -8). What are the component form and magnitude of u?
• u = (5, -8): ||u|| = -√89
• u = (5, 8): ||u|| = -√89
• u = (5, -8): ||u|| = √89
• u = (5, 8): ||u|| = √89
The correct option for the given vector is the third one:
u = (5, -8): ||u|| = √89What are the component form and magnitude of u?If the initial point is (0, 0), then the component form of the vector is just equal to the terminal point of the vector.
Then we have:
u = (5, -8)
For a vector w = (x, y) the magnitude is:
\(||w|| = \sqrt{x^2 + y^2}\)
In this case, the magnitude will be:
\(||u|| = \sqrt{5^2 + (-8)^2} = \sqrt{89}\)
Then the correct option is the third one.
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I need help with this, so please help
Answer:
25
Step-by-step explanation:
The median is the middle!
Which equation represents the vertical line passing through (1.-9)?
A X=-9
В. x= 1
C y=-9
D. y = 1
Answer:
B
Step-by-step explanation:
if it is a vertical line, x=1 for all values of y
Answer:it’s B i just took this
Step-by-step explanation:
What is the slope of a line that is parallel to y= 3x+5?
Answer here_________
Answer:
3
Step-by-step explanation:
The slope of a line parallel to another should be the same, therefore the answer is 3. To ensure the lines do not overlap make sure the y-intercepts are different.
Could someone please help me with the surface area of this prism
Answer:
it is in the picture above
Step-by-step explanation:
please give branliest if you want
Find the smallest square number that is divisible by each of the numbers 8, 9 and 10
Answer:
Step-by-step explanation:
Find the LCM of 8,9 and 10.
Prime Factorization to find LCM,
8 = 2 × 2 × 2
9 = 3 × 3
10 = 2 × 5
LCM ( 8 , 9 , 10 ) = 2 × 2 × 2 × 3 × 3 × 5 =360
But 360 is not square
Now we make the pairs complete by multiplying same numbers in prime factorization of LCM.
We need one 2 and one 5 to complete the pair.
We get, Least Square number = 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 = 3600
Hope this helps
good Luck
Answer:
Step-by-step explanation:
Find Least common denominator of 8, 9 & 10
8 = 2 * 2 * 2
9 = 3* 3
10 = 5*2
LCM = 2*2*2*3*3*5 = 8 * 9 * 5 = 360
To make 360 a perfect square,multiply by 10
360*10 = 3600 is a perfect square
For 1-3, consider an investment of $6000
that earns 4.5% interest. Use a graphing
calculator if needed.
1. Write an equation to describe the value
V(t) of the investment at time t if the
interest is compounded daily.
Answer:
See below
Step-by-step explanation:
Period = 1 day
Periodic interest = .045 / 365 (since there are 365 days in a year)
V(t) = 6000 * ( 1 + .045/365)^t where t is in days
V(t) = 6000 * (1+.045/365)^(t * 365) where t is in years
use the properties of operations to multiply (-2.7x + 4) (-0.2x)
Answer:
0.54x² - 0.8x
Step-by-step explanation:
(-2.7x + 4) (-0.2x)
we open the brackets by multiplication of the terms
0.54x² - 0.8x
please help thank you
Answer:
y=5x+15
Step-by-step explanation:
We get y=5x+15 since she charges a one time fee of $15 and $5 every hour.
Answer:
Answer D
Step-by-step explanation:
find the solution of the differential equation ′()=2() with the initial condition (0)=⟨7,5,3⟩, where () is a vector‑valued function in three‑space.
The solution of the differential equation with the given initial condition is\(()=⟨7⋅e^2x, 5⋅e^2x, 3⋅e^2x⟩.\)
Let () be a vector-valued function in three-space. Then the solution of the differential equation ′()=2() with the initial condition \((0)=⟨7,5,3⟩\) can be found by solving the system of differential equations:
\(′1()=2⋅1()\\′2()=2⋅2()\\′3()=2⋅3()\)
where 1(), 2(), and 3() denote the components of ().
Solving for the general solution of each equation yields:
\(1()=7⋅e^2x\\2()=5⋅e^2x\\3()=3⋅e^2x\)
Therefore, the solution of the differential equation with the given initial condition is:
\(()=⟨7⋅e^2x, 5⋅e^2x, 3⋅e^2x⟩.\)
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What is the definition of the sine ratio in a right triangle?.
The trigonometric ratio sine compares the lengths of the right triangle's two sides. Sin, though commonly abbreviated to sin, is actually pronounced sine.
If you know at least one side of the triangle and one of the acute angles, you can use this function to calculate the length of the side.The trigonometric ratio sine compares the lengths of the right triangle's two sides. Sin, though commonly abbreviated to sin, is actually pronounced sine. If you know at least one side of the triangle and one of the acute angles, you can use this function to calculate the length of the side. In a nutshell, the sine, cosine, and tangent ratios are the three basic trig ratios.To learn more about the sine triangle here
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In a circle with radius 4, an angle intercepts an arc of length 8\pi8π. Find the angle in radians in simplest form.
The required Angle in radian in simplest form is 2π.
What is circle?A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the centre.
Explain angle in radian with arcs of circle.The centre angle of one radian (s = r) subtends an arc length of one radius. One radian has the same value for all circles because they are all alike. The central angle of a circle is measured by its arc, which is 360 degrees, and its radian measure, which is 2 radians.
According to question:Radius = 4 unit, arc = 8π
We know that
angle = arc/radius
angle = 8π/4
angle = 2π radian.
Thus, required angle in radian is 2π.
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h(x)=−(x−2)
2
+16h, left parenthesis, x, right parenthesis, equals, minus, left parenthesis, x, minus, 2, right parenthesis, squared, plus, 16
What is the height of the ball at the time it is thrown?
Answer:
speak Spanish
Step-by-step explanation:
I"m sorry
to help
Five less than twice a number is equivalent to 47
Answer:
2x - 5 = 47 is the expression .
x = 26
Step-by-step explanation:
The number is 26.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values. We frequently observe constant change in
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
given:
Five less than twice a number is equivalent to 47
let the number is x
So, 2x- 5= 47
Now solving for x
2x- 5= 47
2x= 52
x= 26
Hence, the number is 26
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if p = 2^k + 1 is prime, show that every quadratic nonresidue of p is a primitive root of p.
Every quadratic nonresidue of p is a primitive root of p, when p = 2^k + 1 is primeIf p = 2^k + 1 is a prime number, we want to show that every quadratic nonresidue of p is a primitive root of p.
In other words, we aim to prove that if an element x is a quadratic nonresidue modulo p, then it is also a primitive root of p.
Let's assume p = 2^k + 1 is a prime number. To prove that every quadratic nonresidue of p is a primitive root of p, we can use the properties of quadratic residues and quadratic nonresidues.
A quadratic residue modulo p is an element y such that y^((p-1)/2) ≡ 1 (mod p), while a quadratic nonresidue is an element x such that x^((p-1)/2) ≡ -1 (mod p).
Now, let's consider an element x that is a quadratic nonresidue modulo p. We want to show that x is a primitive root of p.
Since x is a quadratic nonresidue, we know that x^((p-1)/2) ≡ -1 (mod p). By Euler's criterion, this implies that x^((p-1)/2) ≡ -1^((p-1)/2) ≡ -1^2 ≡ 1 (mod p).
Since x^((p-1)/2) ≡ 1 (mod p), we can conclude that the order of x modulo p is at least (p-1)/2. However, since p = 2^k + 1 is a prime, the order of x modulo p must be equal to (p-1)/2.
By definition, a primitive root of p has an order of (p-1). Since the order of x modulo p is (p-1)/2, it follows that x is a primitive root of p.
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A baseball bat strikes a ball with an average force of 2.0 x 104 Newtons. if the bat stays in contact with the ball for a distance of 5.0 x 10-3 meter, what kinetic energy will the ball acquire from the bat?1.0 x 102 J2.0 x 102 J2.5 x 101 J4.0 x 102 J
A baseball bat strikes a ball with an average force of 2.0 x 104 Newtons. if the bat stays in contact with the ball for a distance of 5.0 x 10-3 meter , then the kinetic energy will be 2× 10^2 J
kinetic energy of an object is the energy that it possesses due to its motion. It is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. Having gained this energy during its acceleration, the body maintains this kinetic energy unless its speed changes.
In classical mechanics, the kinetic energy of a non-rotating object of mass m traveling at a speed v is 1/2 mv²
Favg= -1/2 MV2
Favg = -1 2 ( 5.0 x 10-3)^2
Favg = - 1/2 ×25 × 10 ^-6
Favg = 2× 10^2 J
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sum of -10°C,24°C,-12°C,8°C,-1°C
Answer:
9°C
Step-by-step explanation:
Group the terms and get \(24+8-1-10-12\)
Then simplify to get \(32-23\)
Subtract and you get 9
So the answer is 9°C.
Hope this helps!