Answer:
c
Step-by-step explanation:
5x-10=-10
5x=-10+10
5x=0
x=0/5
x=0
A group of fitness club members lose a combined total of 28 kilograms in 1 week. There are approximately 2.2 pounds in 1 kilogram. Assuming the weight loss happened at a constant rate, about how many pounds did the group lose each day?
Answer: 12.32 for 5 day week or 8.8 for a seven day week
Step-by-step explanation:
2.2 x 28 = 61.6
61.6 divided by 5 is 12.32
divide by seven if its a full week and the answer is 8.8
How much did kay deposit in cash and coins? a. $404.57 b. $213.51 c. $93.44 d. $284.50
Kay deposited (c)$93.44 in cash and coins.
Money or coins that are legal tender can be used to pay for goods, debts, or services. Additionally, as stated by a corporation, it occasionally includes the worth of assets that can be quickly converted into cash. In its physical form, cash is another name for money. Bank accounts and marketable securities, such as government bonds and banker's acceptances, are typically included in the definition of "cash" in a business context.
We proceed from the whole backward. The amount deducted for cash received is first added back,
498.01+213.51 = 711.52
Each cheque that was deposited is then subtracted:
711.52-40.25 = 671.27
671.27-57.68 = 613.59
613.59-520.15 = 93.44
She started with (c) $93.44 in cash and coins.
Correct Question :
How much did kay deposit in cash and coins? a. $404.57 b. $213.51 c. $93.44 d. $284.50
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factorise x³-x²-x+3
Grandma Gertrude gave 13 pieces of jewelry and Grandma Birdie gave y pieces of jewelry to the Carlson sisters to divide evenly among themselves. There are 5 Carlson sisters. Write an expression that represents the number of pieces of jewelry each sister received.
Answer:
(13 + y ) / 5
Step-by-step explanation:
The total number of jewellery pieces givens by the grandmas is 13 + y
If there are 5 sisters and the jewellery pieces would be divided evenly , each sister would get : (13 + y ) / 5
Note: Figure is not drawn to scale. If the route takes him 10 miles on Forrest Lane and 26 miles up Cedar Drive, how far will Anthony ride down Pine Avenue?
The distance that Anthony will ride down Pine Avenue would be D.) 24 miles .
How to find the distance ?Anthony's route distance along Pine Avenue can be calculated using the Pythagorean Theorem. This theorem confirms that in a right triangle, when one angle is 90 degrees, the sum of squares of the lengths of the two non-hypotenuse sides equals the square of length of the hypotenuse or the longest side.
Hypothenuse ² = Forrest Lane ² + Pine Avenue ²
26 ² = 10 ² + x ²
676 = 100 + x ²
x ² = 576
x = 24
In conclusion, Anthony will ride down Pine Avenue for 24 miles.
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Full question is:
Anthony was mapping out a route to ride his bike. The route he picked forms a right triangle, as shown in the picture below. If the route takes him 10 miles on Forrest Lane and 26 miles up Cedar Drive, how far will Anthony ride down Pine Avenue?
A.) 16 miles
B.) 36 miles
C.) 30 miles
D.) 24 miles
How would you multiply. ? 3.5 2 ca D 52 3.5
Answer:
1274Dac
Step-by-step explanation:
i used photomath but i think thats right hope this helps:)
ineed some help please :(Determine whether the series converges or diverges. If it converges, find the sum. 2 Σ in=4 n(n − 1)
The limit is found to diverge to negative infinity and if we can out the divergence test, we find out that the given series diverges.
What is the divergence test?The simplest divergence test also known as the divergence Test, is used to determine whether the sum of a series diverges based on the series's end-behavior.
In the scenario above, we will compare the given series with the series 1/n^2, which is a known convergent series.
we take the limit as n approaches infinity of the ratio of the two series, we get:
lim (n^2(6n^3-4))/(1(n^2))
= lim (6n^5 - 4n^2)/(n^2)
= lim 6n^3 - 4 = infinity
We remember that the divergence test states that if the limit of the terms of a series does not approach zero, then the series diverges.
we also go ahead to take the limit as n approaches infinity of the ratio of the given series, we get:
lim (n^2(6n^3-4))/(n^3) = lim 6n - 4/n = infinity
In conclusion, the limit is found to diverge to negative infinity and if we can out the divergence test, we find out that the given series diverges.
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george thinks of an equivalent fraction for 23 , such that the sum of its numerator and denominator is 45 . harper thinks of an equivalent fraction for 511 , such that the difference between its numerator and denominator is 30 . can you find the sum of the denominators of the two fractions?
The sum of the denominators of the two fractions is -28.
The sum of the denominators of the two fractions can be found by first finding the equivalent fractions for 2/3 and 5/11 that fit the given conditions, and then adding the denominators together.
To find the equivalent fraction for 2/3 with a sum of 45 for the numerator and denominator, we can use the equation:
x + y = 45, where x is the numerator and y is the denominator.
Since the fraction is equivalent to 2/3, we can also use the equation 2/3 = x/y.
Solving for x in the first equation gives us x = 45 - y, and substituting this into the second equation gives us 2/3 = (45 - y)/y.
Multiplying both sides by 3y gives us 2y = 135 - 3y, and solving for y gives us y = 27.
This means that the denominator of the equivalent fraction for 2/3 is 27.
To find the equivalent fraction for 5/11 with a difference of 30 between the numerator and denominator, we can use the equation:
x - y = 30, where x is the numerator and y is the denominator.
Since the fraction is equivalent to 5/11, we can also use the equation 5/11 = x/y.
Solving for x in the first equation gives us x = 30 + y, and substituting this into the second equation gives us 5/11 = (30 + y)/y.
Multiplying both sides by 11y gives us 5y = 330 + 11y, and solving for y gives us y = -55.
This means that the denominator of the equivalent fraction for 5/11 is -55.
Therefore, the sum of the denominators of the two fractions is 27 + (-55) = -28.
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if quiz grades are normally distributed with a mean of 85 and a standard deviation of 8.0, what is the probability that a student will have a quiz grade of 95 or greater?
There is a 0.022 percent chance that a student may receive a quiz grade of 95 or above.
The z-score formula is as follows:
z = (95-85)/8.0
= 1.25
Using the z-score table, calculate the probability:
P(z >= 1.25)
= 0.022
The z-score formula can be used to determine the likelihood that a student would receive a quiz grade of 95 or higher. The data set's mean and standard deviation are considered in the formula. The mean score on the quiz in this instance is 85, and the standard deviation is 8.0. By deducting the mean from the desired score (95), the z-score can be computed by dividing the result by the standard deviation (8.0). The z-score in this instance is 1.25. The likelihood that a student will receive a quiz grade of 95 or higher can be determined using the z-score table. The likelihood of a z-score of 1.25 or higher is 0.022, according to the table. This indicates that there is a 0.022 percent chance that a student will receive a quiz grade of 95 or above.
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please help!!! i need help!
Answer:d
Step-by-step explanation:
distrubition lol
pls answer help this is due today and i need the answer
Answer:
<1 and <3 are vertical angles and <2 and <4 are vertical angles
Step-by-step explanation:
Hope this helps. pls mark me brainliest. :)
Answer:
2 and 4 are vertical angles
Step-by-step explanation:
Find a parametrization x=x(t),y=y(t) for f(x)=x^8−x^2−6 from (5,−4) to (9,−1).
Parametrization of equations x=x(t), y=y(t) for f(x)=x^8−x^2−6 from (5,−4) to (9,−1) is that parametrization does indeed connect the points (5, -4) and (9, -1).
A parametrization for the curve that connects the points (5, -4) and (9, -1) given by the function f(x) = \(x^8 - x^2 - 6.\)
To do this, we can use the parameter t to represent points on the curve as follows:
x(t) = 5 + 4t, since we want x to start at 5 and end at 9, so we need to add 4 to x over the interval [0, 1].
Substituting this into our function f(x), we get:
y(t) = f(x(t)) = \((5 + 4t)^8 - (5 + 4t)^2 - 6\).
Therefore, our parametrization is:
x(t) = 5 + 4t
y(t) = (5 + 4t)^8 - (5 + 4t)^2 - 6
To verify that this parametrization does indeed connect the points (5, -4) and (9, -1), we can check that x(0) = 5, x(1) = 9, y(0) = f(5) = -4, and y(1) = f(9) = -1.
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A police officer recorded the speeds of 100 cars in a 50-mile-per-hour zone. The results are in the box plot shown. How many cars were going between 40 and 48 miles per hour? I know the answer but I need to know how to do it
Answer: 25 cars
Step-by-step explanation:
This is a box plot and it is a useful graph for showing the minimum, maximum, median and quartile values of a data distribution.
The box you see in the middle is the Interquartile range. In other words, the first line on the box is Q1 and the line at the end of the box is Q3.
The line in the middle of the box is the median or Q2.
The distance between Q1 and the median is 25%.
The number of cars between 40 and 48 miles per hour is therefore 25% of the total.
= 100 * 25%
= 25 cars
Answer:
25 cars
Step-by-step explanation:
Took the diagnostic
a pair of dice is rolled. what is the probability of each of the following events the usm of the ttwo bnumbers rolled is 8,9, or 10
The probability of rolling a pair of dice with the sum of the numbers on them being 8, 9, or 10 is 1/3.
When rolling a pair of dice, there are 36 possible outcomes.
Each die has six possible outcomes, which means that the pair of dice has 6 × 6 = 36 outcomes.
If we want to find the probability of rolling a pair of dice with the sum of the numbers on them being 8, 9, or 10, we can calculate it as follows:
Sum of 8:There are 5 ways to roll an 8: (2, 6), (3, 5), (4, 4), (5, 3), and (6, 2).
The probability of rolling an 8 is therefore 5/36.
Sum of 9:There are 4 ways to roll a 9: (3, 6), (4, 5), (5, 4), and (6, 3).
The probability of rolling a 9 is therefore 4/36.
Sum of 10:There are 3 ways to roll a 10: (4, 6), (5, 5), and (6, 4).
The probability of rolling a 10 is therefore 3/36.
To find the total probability of rolling a pair of dice with the sum of the numbers on them being 8, 9, or 10, we simply add the probabilities of each event:5/36 + 4/36 + 3/36 = 12/36 = 1/3
Therefore, the probability of rolling a pair of dice with the sum of the numbers on them being 8, 9, or 10 is 1/3. The required answer is 1/3
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Convert this rational numberto its decimal form and roundto the nearest thousandth.2/3
ANSWER
0.667
EXPLANATION
We want to convert the rational number given to decimal number.
To do this, we divide the numerator by the denominator.
That is:
\(\frac{2}{3}\text{ = 0.667}\)That is the answer, approximated to the nearest thousandth.
When she started her job at Camille's Café, Kelly began adding money to her savings account each week. The amount of money in her account grew over time.
This situation can be modeled as a linear relationship.
The correct ans to the given graph is :
Kelly added $20 into saving each week.
How would you define a graph ?
In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way. The relationships between two or more items are frequently represented by the points on a graph.
How is a line graphed?
Draw a horizontal axis and a vertical axis first before drawing a line graph. Because age is independent, it should be plotted on the horizontal axis. Plotting should be done using height on the vertical axis. Plot a point for each pair of values using the data that has been provided.
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one of the following steps is not required as a step to test for the null hypothesis: compute the p-value. compute the standard error of the slope estimate compute the t-statistic. test for the errors to be normally distributed.
One of the following steps is not required as a step to test for the null hypothesis is Compute the standard error of the slope estimate.
What is hypothesis testing?Hypothesis testing is a statistical method for testing the validity of a hypothesis made about a parameter in a population. This method may be used to assess the truth of a hypothesis made about a population parameter.
A hypothesis testing problem involves determining whether there is enough evidence in a sample data to support the hypothesis about the population.
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If these two shapes are similar, what is the measure of the missing length n?
39 in
15 in
91 in
Answer:
n = 35 inches
Step-by-step explanation:
Blue Triangle
Longer side = 91
Shortest side = 39
Brown triangle
Longer side = x
Shortest side = 15 in
When you have two triangles that are similar you have to set up your proportion like this
brown long/brown shorter = blue longer / blue shorter
x/ 15 = 91/39 Multiply both sides by 15
x = 91 * 15/ 39
x = 1365 /39
x = 35
There are 100 houses in a housing estate. 40 are terraced
Out of the 100 houses in the housing estate, 40 are terraced.
This means that 40% of the houses in the estate are terraced.
Terraced houses are usually connected to each other in a row and share walls, which can affect noise levels and privacy.
In this question, we're given that there are 100 houses in total within the housing estate. We're also told that 40 of these houses are terraced, meaning they are connected in a row and share side walls with their neighbors.
So, 40% of the houses in the housing estate are terraced houses.
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Please help and show work only do the left side
Writing linear equations given two points can be a useful skill when graphing linear equations.
Write a linear equation that passes through the given two points?To write a linear equation given two points, you need to first find the slope of the line. You can do this by finding the change in the y-value and dividing it by the change in the x-value. From there, you can use the slope to solve for the y-intercept and write the equation.For example, if the two points are (3, 4) and (0,5), you would find the slope by calculating the change in the y-value (5-4 = 1) and dividing it by the change in the x-value (0-3 = -3).The slope would then be 1/-3, which can be simplified to -1/3. To solve for the y-intercept, you can plug in one of the points and solve for b. In this case, you would plug in (3, 4) and solve for b, giving you b = 5. Now that you have the slope and y-intercept, you can write the equation as y = -1/3x + 5.y = -1/2xy = 5/3x + 5/3y = 3/5x + 1y = -1/2x - 2y = 6/5x + 5y = -4/4x - 8y = -3/5x - 7/5y = -2x - 4y = 5/6x + 7y = -1/2x + 4To learn more about linear equation refer to:
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Samir has a combination lock with numbers from 1 to 36. This is the type of lock that requires three numbers to be opened: turn right for the first number, left for the second number, and right for the third number. Samir remembers the first two numbers, and they are not equal; but he can't remember which one is first and which is second. Also, he has forgotten the third number. What is the greatest number of tries he must make to open the lock
The greatest number of tries Samir must make to open the lock is 36.
In order to open the combination lock, Samir needs to correctly guess three numbers in the correct order. Since Samir remembers the first two numbers but doesn't know their order, he essentially has two possibilities for the order of these numbers. Let's call the two numbers A and B.
Case 1: A is the first number and B is the second number.
If A is the first number, Samir needs to try all 36 possible values for the third number. This means he has to make 36 tries.
Case 2: B is the first number and A is the second number.
If B is the first number, Samir still needs to try all 36 possible values for the third number. Again, this means he has to make 36 tries.
Therefore, the maximum number of tries Samir must make is 36, which occurs in either case.
In both cases, Samir is guaranteed to find the correct combination within 36 tries because he will eventually guess the correct order of the first two numbers and try the correct third number.
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The students were interested in the proportion of rental apartments in these suburbs that were leased as furnished apartments and whether this varied with the number of bedrooms in these apartments: investigate further whether the proportions of furnished apartments differ be- tween apartments with different numbers of bedrooms, it is useful to test formally whether the number of bedrooms in an apartment and whether it is furnished or not are independent (a) State the null hypothesis the relevant form of the test statistic and the approximate distri- bution of the test statistic for carrying out this text (b) Provide cross-tabulation of the apartment data by these two factors (you should generate this table using R)
(c) Carry out a formal test, using a = 0.05,of whether the proportions of furnished apartments varies across number of bedrooms, that is, whether the furnishing status of an apartment independent of the number of bedrooms in the apartment You may use R to carry out these calculations, but please state the following information from this test: i. the table of expected frequencies ii. the observed value of the test statistic iii. the relevant degrees of freedom for the distribution of the test statistic iv. the resulting p-value for the test, or rejection region You should also ensure that you conclude your formal test by interpreting the p-value (or rejection region and your observed test statistic) in terms of the original question discussed above:'
The students were interested in the proportion of rental apartments in these suburbs that were leased as furnished apartments and whether this varied with the number of bedrooms in these apartments 500x + 900y + 1500z = 750,000
formal test, using a = 0.05,of whether the proportions of furnished apartments varies across number of bedrooms, that is, whether the furnishing status of an apartment independent of the number of bedrooms in the apartment You may use R to carry out these calculations, but please state the following information from this test: i. the table of expected frequencies ii. the observed value of the test statistic iii. the relevant degrees of freedom for the distribution of the test statistic iv
500x + 900y + 1500z = 750,000 - - - (1)
x + y + z = 1000 - - - - (11)
x = 200 + y + z - - - - (111)
x + 2y + 3z = 1550 - - - (1V)
I bedroom = x
2 bedroom = y
3 bedroom = z
All the condition s gjvbbs'
500x + 900y + 1500z = 750,000 - - - (1)
x + y + z = 1000 - - - - (11)
x = 200 + y + z - - - - (111)
x + 2y + 3z = 1550 - - - (1V)
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what percentage is greater than 3/4 and less than 4/5
Answer:
39/50Step-by-step explanation:
what percentage is greater than 3/4 and less than 4/5
3/4 = 0.75
4/5 = 0.8
the answers between 0.75 and 0.8 are all good, take 0.78, transform into a fraction and you have 39/50
Barbie has a favorite number. The
quotient of her number and -4 is -90.
What is Barbie's favorite number?
Answer:
Is -4444444444
Step-by-step explanation:
Answer:
360
Step-by-step explanation:
A quotient is the result of a division problem.
We must multiply -4 and -90.
-4 • -90 = 360
(There is no - because a negative multiplied by a negative equals a positive.)
Use the graph to determine the following.
a. the function's domain
b. the function's range
c. the x-intercepts, if any
d. the y-intercept, if any
e. the function values, f(1) and f(4).
Assume that the graph of the function
continues its trend beyond the displayed coordinate grid.
From the graph of function,
a. Domain = (-∞, ∞)
b. Range = [-2, -∞)
c. x-intercept = NA
d. y-intercept = (0, -4)
e. f(1) = -3 and f(4) = -4
What is domain of a function?"It is a set of points which for which the function is well defined."
What is the range of the function?"It is the set of all possible output values."
What is intercept?"It is a point at which the graph of the function intersects the x-axis or y-axis."
For given example,
From the graph of a function we can observe that, function takes all values of x
So, domain = (-∞, ∞)
The value of the function starts from -2 and it tends towards -∞.
So, Range of f(x) = [-2, -∞)
From the graph of a function we can observe that the graph of a function does not intersect the x-axis.
So, for given function has no x-intercept.
The graph of the function intersects y-axis at (0, -4).
So, y-intercept = (0,-4)
We need to find the value of f(1) and f(4)
From the graph,
for x = 1,
⇒ f(1) = -3
for x = 4,
⇒ f(4) = -4
Therefore, from the graph of function,
a. Domain = (-∞, ∞)
b. Range = [-2, -∞)
c. x-intercept = NA
d. y-intercept = (0, -4)
e. f(1) = -3 and f(4) = -4
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Express the following fraction in simplest form, only using positive exponents.
-6s-2/-3(84)²
The numerator (top) and denominator (bottom) of a fraction are said to be in their simplest form when they share no factors. Example :
-6s-2/-3(84)²
How to Find the Simplest Form of a Fraction?If a fraction's top and bottom are whole numbers that are coprime to one another, it is said to be in its simplest form.It's easy to figure out how to simplify any fraction. By reducing the fraction's numerator and denominator by the greatest common factor that splits them both in half, we can simplify the numerator and denominator. The denominator and numerator should both remain whole numbers after division. Reducing fractions is another name for this fractional arithmetic procedure.Because the common component "c" is subtracted from both the numerator and the denominator, if the fraction is, for instance, ac/bc, then the simplified form of ac/bc will be a/b.ac/bc = a/b
Example :
-6s-2/-3(84)²
-6s-2/-3(84)^2 = 0
-6·s-2/-3·(84)^2 = 0
6s = 4704
s = 4704/ 6 = 784
s = 784.
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Simplify the expression -4x(6x − 7).
Answer: -24x^2+28x
Step-by-step explanation: -4x*6x-(-4x)*7 to -24x^2+28x
Sam es siete veces más viejo que Tim. Si Sam tiene 42 años, ¿cuántos años tiene Tim?
Answer:
the tim age is 6 years
Step-by-step explanation:
The computation of the tim age is shown below:
Given that
Sam age is 42 years
And, sam would be 7 times than the tim age
Based on the above information
The tim age would be
= sam age ÷ number of times
= 42 ÷ 7
= 6 years
hence, the tim age is 6 years
The same should be considered
(c) A non-uniform but spherically symmetric charge distribution has a charge density: rho(r)=rho 0
(1−r/R)
rho(r)=0
for r≤R
for r>R
where rho 0
=3Q/πR 3
is a positive constant. Show that the total charge contained in this charge distribution is Q. [4] Show that the electric field in the region r>R is identical to that created by a point charge Q at r=0 [2] Derive an expression for the electric field in the region r≤R. [5]
To show that the total charge contained in the charge distribution is Q, we integrate the charge density over the entire volume. The charge density is given by:
ρ(r) = ρ₀(1 - r/R) for r ≤ R,
ρ(r) = 0 for r > R,
where ρ₀ = 3Q/πR³.
To find the total charge, we integrate ρ(r) over the volume:
Q = ∫ρ(r) dV,
where dV represents the volume element.
Since the charge density is spherically symmetric, we can express dV as dV = 4πr² dr, where r is the radial distance.
The integral becomes:
Q = ∫₀ᴿ ρ₀(1 - r/R) * 4πr² dr.
Evaluating this integral gives:
Q = ρ₀ * 4π * [r³/3 - r⁴/(4R)] from 0 to R.
Simplifying further, we get:
Q = ρ₀ * 4π * [(R³/3) - (R⁴/4R)].
Simplifying the expression inside the parentheses:
Q = ρ₀ * 4π * [(4R³/12) - (R³/4)].
Simplifying once more:
Q = ρ₀ * π * (R³ - R³/3),
Q = ρ₀ * π * (2R³/3),
Q = (3Q/πR³) * π * (2R³/3),
Q = 2Q.
Therefore, the total charge contained in the charge distribution is Q.
To show that the electric field in the region r > R is identical to that created by a point charge Q at r = 0, we can use Gauss's law. Since the charge distribution is spherically symmetric, the electric field outside the distribution can be obtained by considering a Gaussian surface of radius r > R.
By Gauss's law, the electric field through a closed surface is given by:
∮E · dA = (1/ε₀) * Qenc,
where ε₀ is the permittivity of free space, Qenc is the enclosed charge, and the integral is taken over the closed surface.
Since the charge distribution is spherically symmetric, the enclosed charge within the Gaussian surface of radius r is Qenc = Q.
For the Gaussian surface outside the distribution, the electric field is radially directed, and its magnitude is constant on the surface. Hence, E · dA = E * 4πr².
Plugging these values into Gauss's law:
E * 4πr² = (1/ε₀) * Q,
Simplifying:
E = Q / (4πε₀r²).
This is the same expression as the electric field created by a point charge Q at the origin (r = 0).
To derive an expression for the electric field in the region r ≤ R, we can again use Gauss's law. This time we consider a Gaussian surface inside the charge distribution, such that the entire charge Q is enclosed.
The enclosed charge within the Gaussian surface of radius r ≤ R is Qenc = Q.
By Gauss's law, we have:
∮E · dA = (1/ε₀) * Qenc.
Since the charge distribution is spherically symmetric, the electric field is radially directed, and its magnitude is constant on the Gaussian surface. Hence, E · dA = E * 4πr².
Plugging these values into Gauss's law:
E * 4πr² = (1/ε₀) * Q.
Simplifying:
E = Q / (4πε₀r²).
This expression represents the electric field inside the charge distribution for r ≤ R.
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If a coordinate point is at (4, 2) and is translated down 3 units and right 1 unit, what is its new coordinate point? *
Answer:
1,3
Step-by-step explanation:
If a coordinate point is at (4, 2) and is translated down 3 units and right 1 unit, what is its new coordinate point?
4-3=1
2+1=3
(1,3)
Answer: (-1,5)
Step-by-step explanation: