The time constant of an RC circuit is given by the product of the resistance and capacitance. the capacitor has a capacitance of 8.0 μF and is connected in series with a 6.0kΩ resistor, the time constant is: = 48 ms
To calculate the time constant of an RC circuit, you can use the formula τ = RC, where τ (tau) is the time constant, R is the resistance, and C is the capacitance.
In this case, the capacitance C is 8.0 μF (microfarads) and the resistance R is 6.0 kΩ (kiloohms).
First, convert the capacitance to farads and the resistance to ohms:
C = 8.0 μF = 8.0 × 10⁻⁶ F
R = 6.0 kΩ = 6.0 × 10⁵ Ω
Now, plug these values into the formula:
τ = RC = (6.0 × 10³ Ω)(8.0 × 10⁻⁶) F)
= 48 × 10⁻³ s
The time constant of this RC circuit is 48ms.
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-4(1+10a)-7>-10(1+4a)-1
Answer:
no solution.
Step-by-step explanation:
Answer:
no solution.
Step-by-step explanation:
-4 (1 + 10a) - 7 > -10 (1 + 4a) - 1
-4 + 40a - 7 > -10 + 40a -1
40a - 40a > -10 - 1 + 4 + 7
the Variable is canceled so there is no solution.
Please answer with a detailed and long explanation
Answer:
The volume of Cone B is twice the volume of Cone A.
Step-by-step explanation:
The volume of a cone is given by
V = 1/3 pi r^2 h where r is the radius and h is the height.
Cone A
d = diameter
r = radius
h = height
V = 1/3 pi r^2 h
Cone B
The diameter is double the diameter of A.
2d so the radius is 2r
The height is half the height of A.
1/2 h
Substitute into the equation for volume.
V = 1/3 pi ( 2r)^2 (1/2 h)
V = 1/3 pi (4r^2) (1/2h)
V = 1/3 pi 2r^2 h
The volume of Cone B is twice the volume of Cone A.
Answer:
Cone B has a greater volume.
Step-by-step explanation:
Cone B has the greatest volume.
The volume of a cone is calculated using the following formula:
\(\boxed{\bold{\tt{Volume\: of\:cone = \frac{1}{3}\pi*r^2h}}}\)
where:
π is a mathematical constant approximately equal to 3.14 r is the radius of the coneh is the height of the coneFor Cone A.
\(\boxed{\bold{\tt{Volume\: of\:cone\: (A)= \frac{1}{3}\pi*r^2h}}}\)
For Cone B
In this case, the radius of Cone B is double the radius of Cone A, and the height of Cone B is half the height of Cone A. This means:
radius(r)=2r
height(h)= \(\tt{\frac{1}{2}*\frac{h}{2}}\)
\(\boxed{\bold{\tt{Volume\: of\:cone\: (B)= \frac{1}{3}\pi*(2r)^2*\frac{h}{2}}}}\)
\(\boxed{\bold{\tt{Volume \: of\:cone (B)= 2*\frac{1}{3}\pi*r^2h}}}\)
\(\boxed{\bold{\tt{Volume(B) =2*Volume\: of\:cone(A)}}}\)
Since the volume of cone B is twice the volume of Cone A.
Therefore, Cone B has a greater volume.
when using the least-squares line for prediction, are results more reliable for extrapolation or interpolation?
When using the least-squares line for prediction, the results are generally more reliable for interpolation rather than extrapolation. Interpolation refers to predicting values within the range of the data used to create the least-squares line, while extrapolation involves predicting values beyond that range. The reliability of extrapolation decreases because it assumes that the relationship between the variables continues outside the observed data, which may not always be accurate due to potential unforeseen factors or changes in the underlying relationship.
The least-squares line is a method used to find the best-fit line that minimizes the sum of the squared residuals between the observed data points and the predicted values on the line. It is commonly used for linear regression analysis to make predictions based on the relationship between two variables.
When using the least-squares line for interpolation, the predicted values are within the range of the data used to create the line. In this scenario, the least-squares line provides a reliable estimate because it is based on observed data points and their relationship. Interpolation assumes that the underlying relationship between the variables remains relatively consistent within the observed range.
However, when it comes to extrapolation, the reliability of the results decreases. Extrapolation involves predicting values beyond the observed range of the data. While it is possible to extend the least-squares line to make predictions, it assumes that the relationship between the variables continues in the same manner outside the observed range. This assumption may not always hold true due to potential unforeseen factors or changes in the relationship between the variables.
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An electrician charges $15 for a service call plus $25 per hour. The total bill for a recent job was $165.
Answer:
h = 6
Step-by-step explanation:
Equation:
15 + 25h = 165
Subtract 15 from both sides
25h = 150
Divide both sides by 25
h = 6
So 6 hours
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Answer:
$15 + $25h = $165 h=6.6
Step-by-step explanation:
PLEASE PLEASE HELP ME ASAP!!!!!!!!!!!! I really need to know how you get to the answers.
Based on a poll of 1000 residents, a newspaper article claims that 62% of the residents in town favor the
development of a recreational park on the west side of town. A community action group interested in
preserving the environment claims that 45% of the town’s residents favor the development of a recreational
park.
To determine whether the sample supports the population proportion, a simulation of 100 trials is run, each
with a sample of 200, using the point estimate of the population. The minimum sample proportion from the
simulation is 0.46 and the maximum sample proportion is 0.76.
(a) What is the point estimate of the population?
(b) The margin of error of the population proportion is found using an estimate of the standard deviation.
What is the interval estimate of the true population proportion?
(c) The margin of error of the population proportion is found using the half the range.
What is the interval estimate of the true population proportion?
(d) Is the community action group’s claim likely based on either interval estimate of the true population
proportion? Explain.
Solve the system of equations. Show your work
y=x^2-3x+4
x+y=4
Answer:
10
Step-by-step explanation:
the answer to your question is 10
You are offered a single spin of a wheel for $95. There is a 25% chance that you will win the grand prize of $393, a 25% chance of getting your mon and a 50% chance of getting nothing. What is the expected payoff of the spin in dollars? Round your answer to fwo decimal places (Ex. 50.00 ) (Hin payotf is the winnings less your wager.)
There is a 25% chance that you will win the grand prize of $393, a 25% chance of getting your mon and a 50% chance of getting nothing. The expected payoff of a single spin on the wheel for $95 is $61.50.
In this scenario, there are three possible outcomes: winning the grand prize of $393, getting the initial amount of $95 back, or receiving nothing. Each outcome has a specific probability associated with it: 25% chance of winning the grand prize, 25% chance of getting the initial amount back, and 50% chance of getting nothing.
To calculate the expected payoff, we multiply each outcome by its respective probability and sum them up. For the grand prize, the expected payoff is (0.25 * $393) = $98.25. For getting the initial amount back, the expected payoff is (0.25 * $0) = $0. Finally, for receiving nothing, the expected payoff is (0.50 * -$95) = -$47.50.
Adding up the expected payoffs, we get ($98.25 + $0 - $47.50) = $50.75. However, since the question asks for the payoff as the winnings less the wager, we subtract the initial amount of $95 from the expected payoff to get the final answer: $50.75 - $95 = -$44.25. Rounding this to two decimal places, the expected payoff of the spin is -$44.25, which means you can expect to lose $44.25 on average per spin.
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Brody and his friends buy a jumbo bag of Millicent's Mini Donuts at the fair. They sit at a picnic table to share them. Brody evenly distributes the donuts onto 13 napkins, one for each person in the group. Each napkin has 4 donuts
LITTLE HELP HERE?
1+2+3+....+2012+2013
Answer:
Un=n(n+1)/2
U=2013(2013+1)/2
U=2.027.091
One of the tallest ferris wheels in the world is in las vegas. It has a diameter, , of 520 feet. The circumference of the ferris wheel represents the distance traveled by a passenger after one full rotation. The circumference can be determined using the expression. What is the distance traveled, in feet, by passengers on each rotation of the ferris wheel? record your answer to the nearest tenth of a foot.
Answer:
Below
Step-by-step explanation:
Circumference of a circle = pi * diameter
circumference of ferris wheel = 3.14159 * 520=1633.6 ft
when the null hypothesis is not rejected, it is possible a type i error has occurred. possible a type ii error has occurred. possible either a type i or a type ii error has occurred. not possible a type ii error has occurred.
When a null hypothesis is not rejected, a type ii error has occurred.
What is a null hypothesis?A null hypothesis being a statistical hypothesis, states that no statistical significance can be present in a set of observations. Usually, hypothesis testing is a method used to judge the veracity of a given sample.
Sometimes, it is called just null, or even it has a symbol, viz, \(H_0\).
We consider generally 4 cases:
\(H_0\) is accepted when \(H_0\) is true ⇒ A correct decision\(H_0\) is rejected but is true⇒ Type i error has occurred and is rejected by us, null hypothesis is present\(H_0\) is false but is accepted by us⇒ Type ii error has occurred, null hypothesis is not present. \(H_0\) is false and is rejected⇒ A correct decision.According to the given question, we have not rejected the null hypothesis.
Thus, we have two options present, either the type ii error has occurred and null hypothesis is not present, or the null hypothesis is present.
Concluding, when a null hypothesis is accepted, it is possible that a type ii error has occurred.
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Given g(x) = x2-4
Find g(-3)
Answer:
-10
Step-by-step explanation:
g(-3)=3×3 -4
=9-4
=5
Answer: 5
Step-by-step explanation:
g(x)=x²-4
g(-3)=(-3)²-4
g(-3)=9-4
g(-3)=5
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Please let me know if you have any question or need any further explanation
Two cars travel at the same speed to different destinations. Car A reaches its destination in 12 minutes. Car B reaches its destination in 18 minutes. Car B travels 4 miles farther than Car A. How fast do the cars travel? Write your answer as a fraction in simplest form.
Answer:
chatGPT
Step-by-step explanation:
Let's denote the speed of each car as v, and the distance that Car A travels as d. Then we can set up two equations based on the information given:
d = v * (12/60) (since Car A reaches its destination in 12 minutes)
d + 4 = v * (18/60) (since Car B travels 4 miles farther than Car A and reaches its destination in 18 minutes)
Simplifying the equations by multiplying both sides by 60 (to convert the minutes to hours) and canceling out v, we get:
12v = 60d
18v = 60d + 240
Subtracting the first equation from the second, we get:
6v = 240
Therefore:
v = 240/6 = 40
So the cars travel at a speed of 40 miles per hour.
A scientist is creating a mathematical model for the breakdown of caffeine in the human
body. according to her current model, caffeine is broken down at a rate of 10% each hour. if
a person consumes a sample containing 127 milligrams of caffeine, then how much will
remain in 4 hours?
Therefore , the solution to the given problem of rate of change comes out to be the remain after 4 hour is 83.3247.
What is rate of change?When something changes over time, it does so at a certain rate, or ROC. Therefore, rather than the size of each change individually, it is the rate of change—or, more specifically, its acceleration or deceleration. Rate of change is a concept in finance that is used to comprehend price returns and pinpoint trends' momentum.
Here,
Given : broken down at a rate of 10% each hour.
127 milligrams of caffeine
Thus,
To find the remains after 4 hours
=> Total * (broken down)^times
=> 127 * (1 - 10%)^4
=> 127 * (0.9)^4
=>127 * 0.6561
=>83.3247
Therefore , the solution to the given problem of rate of change comes out to be the remain after 4 hour is 83.3247.
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when data are positively skewed, the mean will usually be
With Square Payments, you can easily and safely accept all forms of payment. You can collaborate with customers rather than competing with them when it comes to how they want to pay for goods and services when you use Square Payments.
Through Square, you can accept credit cards, Apple Pay, Android Pay, and a lot of other payment options. A client is an individual or company who purchases goods or services from another company. Customers are essential because they produce income. Without them, companies would cease to exist. A customer is the recipient of a good, service, product, or idea in sales, commerce, or economics that they have purchased from a seller, vendor, or supplier in exchange for money or another useful consideration. When a customer buys something and uses it themselves, they are considered a consumer. Although they might not be the final users, customers always buy goods or services. Although they might not have paid for it, consumers are always the ones who use a good or service in the end.
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M<7=100 find measure of <11
Answer:i think its 115 degres
Step-by-step explanation:
Answer all questions and show all of your work. 1. Consider Verizon data speeds (Mbps): 20, 50, 22, 14, 23, 10. Find the following values for these data. (a) Mean (b) Median (e) Sample Variance s² (d
The mean, median, and sample variance of the given dataset are:Mean = 23.17Median = 21Sample variance = 173.5592
(a) Mean The mean (or average) of a dataset is calculated by summing up all the values and dividing by the total number of values.
The formula for calculating the mean is: `mean = (sum of values) / (total number of values)`For the given dataset, we have:20, 50, 22, 14, 23, 10
Sum of values = 20 + 50 + 22 + 14 + 23 + 10 = 139
Total number of values = 6Therefore, the mean is given by: `mean = 139 / 6 = 23.17`Answer: 23.17 (rounded to two decimal places)
(b) Median To find the median, we need to arrange the dataset in increasing order:10, 14, 20, 22, 23, 50The median is the middle value of the dataset. If there are an odd number of values, the median is the middle value. If there are an even number of values, the median is the average of the two middle values. Here, we have 6 values, so the median is the average of the two middle values: `median = (20 + 22) / 2 = 21` Answer: 21(e)
Sample variance s²The sample variance is calculated by finding the mean of the squared differences between each value and the mean of the dataset.
The formula for calculating the sample variance is: `s² = ∑(x - mean)² / (n - 1)`where `∑` means "sum of", `x` is each individual value in the dataset, `mean` is the mean of the dataset, and `n` is the total number of values.For the given dataset, we have already calculated the mean to be 23.17.
Now, we need to calculate the squared differences between each value and the mean:
20 - 23.17 = -3.1722 - 23.17
= -1.170 - 23.17
= -13 - 23.17
= -9.1723 - 23.17
= -0.1710 - 23.17
= -13.17
The sum of the squared differences is given by:
∑(x - mean)² = (-3.17)² + (-1.17)² + (-13.17)² + (-9.17)² + (-0.17)² + (-13.17)²
= 867.7959
Therefore, the sample variance is given by: `s² = 867.7959 / (6 - 1) = 173.5592`Answer: 173.5592 (rounded to four decimal places)
The mean, median, and sample variance of the given dataset are:Mean = 23.17Median = 21Sample variance = 173.5592
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4.
Which graph represents the following system of equations?
y = 3x + 3
y = –x – 3
A. Graph c
B. Graph b
C. Graph d
D. Graph a
Answer: Graph D (bottom right corner)
======================================================
Explanation:
The equation y = 3x+3 is in slope intercept form y = mx+b
m = 3 = slope
b = 3 = y intercept
In this case, both the slope and y intercept are the same (though in general they tend not to be).
The positive slope value means the line goes uphill as you move from left to right. The positive y intercept means the diagonal line crosses the y axis somewhere above the horizontal x axis. Specifically, it crosses the y axis at y = 3
Graph D is the only graph that has such a line on it. Graphs A, B and C have the positive slope line where they have a negative y intercept, so we can rule them out.
You can use graphing tools such as Desmos or Geogebra to help confirm this answer. You could also make a table of values, and plot each point, to form the lines. Two points is the minimum amount needed to form any line.
Answer:
Step-by-step explanation:
Answer:
See picture attached below.
Step-by-step explanation:
To graph the system, graph each line separately.
y = 3x + 3 ha slope 3 and y-intercept 3.
Start at 3 on the y-axis and mark a point. Then from this point move up 3 units and to the right 1 unit. Mark a point and connect.
y=-x - 3 has slope -1 and y-intercept -3.
Start at -3 on the y-axis and mark a point. Then from this point move down 1 unit and to the right 1 unit. Mark a point and connect.
This graph is represented in the picture attached.
...............................................................................................................................................
Which graph represents the following system of equations?
y = 3x + 3
y = –x – 3
...............................................................................................................................................
y=x−8
y=12x−5
...............................................................................................................................................
Graph of 2 lines that intersect at one point. Both lines are solid. One line passes through (-2,2) and (0,3) and is shaded below the line.
y < = 1/2x + 3...(-2,2) y < = 1/2x + 3....(0,3)
2 < = 1/2(-2) + 3 3 < = 1/2(0) + 3
2 < = -1 + 3 3 < = 0 + 3
2 < = 2 (correct) 3 < = 3 (correct)
The other line passes through points (0,1) and (1,-2) and is shaded above the line.
y > = -3x + 1...(0,1) y > = -3x + 1...(1,-2)
1 > = -3(0) + 1 -2 > = -3(1) + 1
1 > = 0 + 1 -2 > = -3 + 1
1 > = 1 (correct) -2 > = -2 (correct)
...............................................................................................................................................
we have
using a graph tool
see the attached figure
The solution of the system is the shaded area
we know that
The line is solid
The line passes through points and and is shaded above the line.
The line is solid
The line passes through points and and is shaded below the line
The two lines intersect at one point
therefore
the answer is the option
B) Graph of two lines that intersect at one point. Both lines are solid. One line passes through points negative 2, 2 and 0, 3 and is shaded below the line. The other line passes through points 0, 1 and 1, negative 2 and is shaded above the line.
How much cardboard is used in inches
5.375×8.625×1.625 are the dimensions
The amount of cardboard used is 138.3046875 square inches.
To find the amount of cardboard used, we need to calculate the surface area of the given dimensions.
The surface area of a rectangular prism can be found by multiplying the length, width, and height of the prism.
Surface Area = 2(length × width + width × height + height × length)
Plugging in the given dimensions:
Length = 5.375 inches
Width = 8.625 inches
Height = 1.625 inches
Surface Area = 2(5.375 × 8.625 + 8.625 × 1.625 + 1.625 × 5.375)
Simplifying the equation:
Surface Area = 2(46.328125 + 14.078125 + 8.74609375)
Surface Area = 2(69.15234375)
Surface Area = 138.3046875 square inches
Therefore, 138.3046875 square inches of cardboard were consumed.
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Determine whether the statement is true or false. If the statement is false, explain why. The midpoint of the segment joining (0,0) and (38,38) is 19.
The midpoint has coordinates (19,19) as per the midpoint formula.
The statement is false.
The statement is false. The midpoint of the segment joining two points is determined by taking the average of their x-coordinates and the average of their y-coordinates. In this case, the two given points are (0,0) and (38,38).
To find the x-coordinate of the midpoint, we take the average of the x-coordinates of the two points:
(x1 + x2) / 2
= (0 + 38) / 2
= 38 / 2
= 19
Therefore, the x-coordinate of the midpoint is 19, which matches the statement. However, to determine if the statement is true or false, we also need to check the y-coordinate.
To find the y-coordinate of the midpoint, we take the average of the y-coordinates of the two points:
(y1 + y2) / 2
= (0 + 38) / 2
= 38 / 2
= 19
The y-coordinate of the midpoint is also 19. Therefore, the coordinates of the midpoint are (19,19), not 19 as stated in the statement. Since the midpoint has coordinates (19,19), the statement is false.
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A square fits exactly inside a circle with each of its vertices being on the circumference of the circle
the square has side lengths of xcm. The area of the circle is 56cm squared. Work out the value of x to 3 significant figure
What is the surface area of this sphere in square centimeters? Pls help
(-7x² + 3) – (-4x – 3)
if youre soliving to get x
2
-4x - 7x
-16x-7=-23
A forecasting method has produced the following over the past five months. What is the mean absolute deviation? 3. 6 3.8 3.2. \( 3.4 \) \( 3.0 \)
The mean absolute deviation for the given dataset of 3, 6, 3.8, 3.2, and 3.4 is approximately 0.996. This means that, on average, each data point in the dataset deviates from the mean by approximately 0.996.
The mean absolute deviation (MAD) measures the average distance between each data point and the mean of the dataset. To find the MAD, you need to follow these steps:
1. Calculate the mean of the dataset by adding up all the numbers and dividing the sum by the total number of data points. In this case, the dataset consists of the following numbers: 3, 6, 3.8, 3.2, and 3.4. Adding them up gives us a sum of 19.4. Dividing this sum by 5 (since there are 5 data points) gives us a mean of 3.88.
2. Find the absolute deviation for each data point by subtracting the mean from each data point and taking the absolute value. For example, for the first data point, 3, the absolute deviation would be |3 - 3.88| = 0.88. Repeat this step for all the data points.
3. Calculate the mean of the absolute deviations by adding up all the absolute deviations and dividing the sum by the total number of data points. In this case, the absolute deviations are: 0.88, 2.12, 0.72, 0.68, and 0.58. Adding them up gives us a sum of 4.98. Dividing this sum by 5 gives us a mean of 0.996.
So, the mean absolute deviation for the given dataset is approximately 0.996.
The mean absolute deviation helps us understand how much each data point varies from the mean of the dataset. By calculating the absolute deviation for each data point and finding the average, we can determine the typical amount of variation in the dataset.
The mean absolute deviation for the given dataset of 3, 6, 3.8, 3.2, and 3.4 is approximately 0.996. This means that, on average, each data point in the dataset deviates from the mean by approximately 0.996.
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Need help on this question
Answer: the answer is b
Step-by-step explanation:
Solve the equation using inverse operations. Check your solutions. In you final answer, include all of your work.
Answer:
x=6,-6
Step-by-step explanation:
-x^2=-36
x^2=36(cancel the signs) (divide 36 on both sides)
x=+-6
X=6,-6
convert 2 Bigha into kattha
Answer:
To convert 2 Bigha into Kattha:
If 1 Bigha = 20 Kattha:
2 Bigha = 2 * 20 Kattha = 40 Kattha
If 1 Bigha = 16 Kattha:
2 Bigha = 2 * 16 Kattha = 32 Kattha
from a sample of 400 items, 14 are found to be defective. the point estimate of the population proportion defective will be:
The point estimate of the population proportion defective will be 14/400, which is 0.035 or 3.5%.
How we find the point estimate of the population proportion defective?To calculate the point estimate of the population proportion defective, we divide the number of defective items (14) by the total sample size (400).
In this case, out of the 400 items in the sample, 14 are found to be defective. Dividing 14 by 400 gives us the point estimate of the population proportion defective, which is 0.035 or 3.5%.
This means that based on the sample data, we estimate that approximately 3.5% of the population of items is defective. It's important to note that this is just an estimate and the actual population proportion may vary.
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The sum of two consecutive even numbers is 54 find the answer
Answer:
26, 28
Step-by-step explanation:
2n , 2n + 2
2n + 2n + 2 = 54
4n + 2 = 54
4n = 52
n = 13
2n = 26
2n + 2 = 28
Answer:
26 and 28Step-by-step explanation:
The sum of two consecutive even numbers is 54 find the answer
(54 - 2) : 2 = 26
26 + 2 = 28
----------------------
check
26 + 28 = 54
A river has a current of 2 miles per hour. Kay can paddle a canoe downstream 10 miles in the same time it takes her to paddle upstream 6 miles. How fast can she paddle in still water
Kay can paddle at a speed of 8 miles per hour in still water.
We have,
Distance = Rate x Time
Let's let the speed of the canoe in still water be represented by v
(in miles per hour).
When Kay paddles downstream (with the current), her effective speed is (v + 2) miles per hour, and when she paddles upstream (against the current), her effective speed is (v - 2) miles per hour.
We know that the time it takes her to paddle downstream 10 miles is the same as the time it takes her to paddle upstream 6 miles.
Therefore, we can set up the equation:
10 / (v + 2) = 6 / (v - 2)
We can now solve for v.
First, we'll cross-multiply:
10(v - 2) = 6(v + 2)
Simplifying:
10v - 20 = 6v + 12
4v = 32
v = 8
Thus,
Kay can paddle at a speed of 8 miles per hour in still water.
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Choose the numbers that are equivalent to three and two ninths. twenty-nine ninths, 3.2 repeating where the 2 is repeating, 322.2 repeating percent where the 2 is repeating twenty-nine ninths, 3.29, 329% six ninths, 3.2 repeating where the 2 is repeating, 322.2% six ninths, 3.29, 329%
Answer: D
Step-by-step explanation:
i did the test