Answer:
She earns $0.5 per hour
Step-by-step explanation:
mark brainliest
_____ earns $23.4 per hour, $.1 less than ___
Select the correct answer.
What is the solution to this equation?
2 log2x log2 (2x)
-
A.
x = 18
3
Brainliest if correct
Answer:
20
Step-by-step explanation:
4+40-3(8)
44-24
20
Answer: 20
Step-by-step explanation:
(2)^2+4(10)-3(10-2)
PEMDAS!
(2)^2+4(10)-3(8)
4+4(10)-3(8)
4+40-24
44-24
20
is .849 greater than .90
Answer:
NO it isnt.
Step-by-step explanation:
Go right of the decimal and throught the different place values. Since the number just right of the decimal is the highest place value, whichever number is greater, holds the greater value.
What is the radius of a circle whose equation is (x – 7)2 + (y – 10)2 = 4? 2 units 4 units 8 units 16 units
Answer:
A. 2 units
Step-by-step explanation:
took the test and got it right
The radius of the circle is r = 2 units
What is a Circle?A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
The equation of circle is ( x - h )² + ( y - k )² = r²
For a unit circle , the radius r = 1
x² + y² = r² be equation (1)
Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )
Given data ,
Let the equation of the circle be represented as A
Now , the value of A is
( x - 7 )² + ( y - 10 )² = 4
The equation ( x - 7 )² + ( y - 10 )² = 4 represents a circle in standard form, where the center of the circle is located at the point (7, 10) and the radius is the square root of the number on the right side of the equation
Taking the square root of 4, we find that the radius of the circle is 2 units
Hence , the radius is r = 2 units
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What is the equation of the line of best fit that Frank drew?
A: Y = -3x + 12
B: Y = -3x + 16
C: Y = 1/3x +12 (/ means fraction)
D: Y = 1/3x + 16
Answer:
The answer is actually not an option here. The answer is y=-1/3x+16
Factor out the greatest common factor from the following polynomial.
Answer:
i pretty sure its 6
8x
Step-by-step explanation:
i did the research
Here
Common part is 8 and x⁶
Now
Factor out
8x⁶(x²-3x+8)GCF=8x⁶
Write
83
50
as a decimal.
Answer:
0.83,0.50
Step-by-step explanation:
Since there are 2 digits in 83, the very last digit is the "100th" decimal place.
So we can just say that .83 is the same as 83/100.
So your final answer is: .83 can be written as the fraction
Step-by-step explanation:
To get 83/50 as a decimal just divide and you'll get 1.66 as your answer
Write the equation of the line in fully simplified slope-intercept form.
Answer:
y = -5x - 5
Step-by-step explanation:
if you count the rise and run from one point to the other, in each case it goes up 5 (rise of 5), then left one (left is negative, so run of -1). according to slope formula m = rise/run, so m = 5/-1 which is the same as -5.
so in slope intercept form, you know y = -5x + b.
b is the y-intercept, or the point where x=0. from the graph it's easy to see that when x is zero, y is -5. so, b = -5.
when you put it all together, the equation is y = -5x - 5
If one standard drink of white wine is 107mL how many standard drinks are equivalent to a 150mL restaurant serve of white wine?
Answer: A 150mL restaurant serve of white wine is equivalent to 1.4 standard drinks.
Step-by-step explanation:
To determine how many standard drinks are equivalent to a 150mL restaurant serve of white wine, we need to divide the volume of the 150mL serve by the volume of one standard drink, which is 107mL.So, the calculation is: 150 mL ÷ 107 mL/drink = 1.4 standard drinks. Therefore, a 150mL restaurant serve of white wine is equivalent to 1.4 standard drinks.
the legs of a 45 45 90 triangle have a length of 8 units what is the length of the hypotenous
Answer:
11.31 units
Step-by-step explanation:
a^2 + b^2 = c^2
8^2 + 8^2 = c^2
64 + 64 = c^2
128 = c^2
Opposite of exponents is square roots, and we need to get rid of that exponent in c^2, meaning we find the square root.
\(\sqrt{128\\} \\\\\) = c
c = 11.31 units
the cost of 1 litre of milk is 42 3/4 find the cost of 12 1/2 litres of milk
Answer:
534.37500
Step-by-step explanation:
1/42.75 = 12.5/x
x= 534.37500
you setup a ratio of litre/cost = litre/cost
you can also multiply 42.75 by 12.5, which is way easier.
Write the ratio using fractional notation.
8 to 9
Answer:
Step-by-step explanation:
The GCF of 8 and 9 is 1
Divide both terms by the GCF, 1:
8 ÷ 1 = 8
9 ÷ 1 = 9
The ratio 8 : 9 cannot be reduced further by dividing both terms by the GCF = 1 :
This ratio is already in lowest terms.
Therefore:
8 : 9 = 8 : 9
For each of the following, state what the graph of the equation is (a sphere, a cone, etc.), and sketch the graph of the equation
(a) z=z^2 (b) y² +2²=1+x²
(a) The equation z = z^2 does not have a well-defined graph. (b) The equation y² + 2² = 1 + x² represents a cylinder with radius 2 and its axis parallel to the z-axis.
(a) The equation z = z^2 represents a paraboloid.
To sketch the graph of this equation, we can plot some points and observe the shape of the paraboloid. However, it's important to note that the equation z = z^2 is not a well-defined equation as it leads to multiple interpretations and can cause mathematical inconsistencies. The equation implies that z is equal to either 0 or 1, but it does not specify a specific relationship between x, y, and z.
(b) The equation y² + 2² = 1 + x² represents a cylinder.
To sketch the graph of this equation, we can treat it as a three-dimensional equation and interpret it as a cylinder. The equation implies that the sum of the squares of y and 2 is equal to 1 plus the square of x. This equation describes a right circular cylinder with its axis parallel to the z-axis and centered at the origin. The radius of the cylinder is 2, and it extends infinitely in the positive and negative directions along the x-axis. The graph would be a cylinder with circular cross-sections.
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The lunch choices last Friday were mushroom or pepperoni pizza. The cafeteria made 20
pizzas in all, 30% of which were mushroom pizzas. How many mushroom pizzas did the
cafeteria make?
mushroom pizzas
consider the vectors x and a and the symmetric matrix a. i. what is the first derivative of at x with respect to x? ii. what is the first derivative of xt ax with respect to x? what is the second derivative?
The first derivative of at x with respect to x is simply the transpose of the matrix a.The first derivative of xt ax with respect to x is 2ax, since taking the derivative of the product of two vectors involves multiplying one of the vectors by the derivative of the other vector, and in this case the derivative of x is the identity matrix (since x is a vector and not a matrix).The second derivative of xt ax with respect to x is simply the matrix 2a, since the second derivative involves taking the derivative of the first derivative.1. Given the vector x and the symmetric matrix A.
2. We need to find the first and second derivatives of the following expressions:
i. A * x
ii. x^T * A * x
The question involves vectors, symmetric matrices, and derivatives. Let's break it down step-by-step.
i. First derivative of A * x with respect to x:
To find the derivative of A * x with respect to x, we treat A as a constant matrix. The first derivative is simply the matrix A itself.
Answer: The first derivative of A * x with respect to x is A.
ii. First derivative of x^T * A * x with respect to x:
To find the first derivative of this expression, we'll use the following formula for the derivative of a quadratic form:
d/dx (x^T * A * x) = (A + A^T) * x
Since A is a symmetric matrix, A = A^T. Therefore, the formula becomes:
d/dx (x^T * A * x) = 2 * A * x
Answer: The first derivative of x^T * A * x with respect to x is 2 * A * x.
iii. Second derivative of x^T * A * x with respect to x:
The second derivative of x^T * A * x with respect to x is the derivative of the first derivative (2 * A * x) with respect to x. Since A is a constant matrix, the second derivative is zero.
Answer: The second derivative of x^T * A * x with respect to x is 0.
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(04.03) The graph shows the amount of money paid when purchasing bags of candy at the zoo: Total cost a Bags of Candy Write an equation to represent the relationship between the total cost (y) and the number of bags of candy (x).
A: y= 1 over 2 x
B: y= 2x
C: y=3x
D: y = 1 over 3 x
Answer:
B
Step-by-step explanation:
Slope of the line
(y2 - y1)/(x2 - x1)
(4-2)/(2-1)
2/1 =2
y = 2x
A whole number is divided by its largest odd number factor.
It is possible that the resulting quotient equals
A) 23
B) 36
C) 48
D) 64
Answer:
is not going to be 23 because has [1,23]
36 has [1,2,3,4,6,6 ,9,12,18,36) only 10
48 has [1,2,3,4,6,8,12,16,24,48] only 10
64 has [1,2,4,8,16,32,64] 7 is odd
the answer is 64.
Step-by-step explanation:
nswer parts (a)-(e) for the function Show f(x) = x3 + 3x^2 -x - 3 a. Use the leading coefficient test to determine the graph's end behavior. Which statement describes the behavior at the ends of f(x)= x + 3x2 - x-3? A. The graph rises to the left and falls to the right. B. The graph rises to the left and to the right C. The graph falls to the left and to the right D. The graph falls to the left and rises to the right b. Find the x-intercepts. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept. What are the x-intercepts? x= (-3,0),(-1,0),(1,0) (Type an integer or a decimal. Use a comma to separate answers as needed.) At which x-intercept(s) does the graph cross the x-axis? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. x= (-3,0),(-1,0),(1,0) (Type an integer or a decimal. Use a comma to separate answers as needed.) B. There are no x-intercepts at which the graph crosses the x-axis. At which x-intercept(s) does the graph touch the x-axis and turn around? Select the correct choice below and, if necessary,
a) The correct statement describing the end behavior of \(f(x) = x^3 + 3x^2 - x - 3\) is B. The graph rises to the left and to the right.
b) The x-intercepts are: A. x = (-3,0), (-1,0), (1,0)
a. To determine the end behavior of the graph of \(f(x) = x^3 + 3x^2 - x - 3\), we look at the leading coefficient, which is the coefficient of the highest power of x. In this case, the leading coefficient is 1 (the coefficient of x^3).
The leading coefficient test states that if the leading coefficient is positive (in this case, it is), then the graph rises to the left and rises to the right as x approaches positive or negative infinity.
Therefore, the correct statement describing the behavior at the ends of \(f(x) = x^3 + 3x^2 - x - 3\) is B. The graph rises to the left and to the right.
b. To find the x-intercepts, we set f(x) equal to zero and solve for x:
\(x^3 + 3x^2 - x - 3 = 0\)
We can factor the equation as:
(x + 1)(x - 1)(x + 3) = 0.
Setting each factor equal to zero, we find the x-intercepts:
x + 1 = 0 => x = -1,
x - 1 = 0 => x = 1,
x + 3 = 0 => x = -3.
The x-intercepts are x = -1, x = 1, and x = -3.
Now, we determine whether the graph crosses the x-axis or touches the x-axis and turns around at each intercept.
At x = -1, the graph crosses the x-axis because the function changes sign from negative to positive.
At x = 1, the graph crosses the x-axis because the function changes sign from positive to negative.
At x = -3, the graph touches the x-axis and turns around because the function does not change sign.
Therefore, the x-intercepts are:
A. x = (-3,0), (-1,0), (1,0)
The graph crosses the x-axis at x = -1 and x = 1, and it touches the x-axis and turns around at x = -3.
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This set of ordered pairs defines a function.
{(-49,7), (-56,8), (-63,9), (-70,10)}
Which table represents the inverse of the function defined by the ordered pairs?
The inverse of the function defined by the ordered pairs are (7, -49), (8, -56), (9,-63), (10, 70)
What is an inverse function?An inverse is a function that serves to “undo” another function. That is, if f(x) produces y, then putting y into the inverse of the function produces the output x. x. A function that has an inverse is called invertible, and the inverse is denoted by f⁻¹.
Given that, a set of ordered pairs defines a function.
{(-49,7), (-56,8), (-63,9), (-70,10)}
We need to find its inverse function,
Since, we know that,
The inverse of a function means that the input becomes the output of the function and the output becomes input.
When the function is given in the form of ordered pairs, the first element of each ordered pair represents the input and the second element represents the output.
Therefore,
The inverse will be:
{(7, -49), (8,-56), (9,-63), (10, -70)}
Hence, the inverse of the function defined by the ordered pairs are (7, -49), (8, -56), (9,-63), (10, 70)
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pls help me out I really need to sleep
Answer:
-2/3
Step-by-step explanation:
Rise= -2
Run= 3
-2/3
Can someone help me ?
Answer:
1. B
2.B
3.C It could also be d because when you round it it would give you
8.7. Also no one leaves a section of their fence not painted. (8.6602540378443864676372317075294) UNROUNDED
Step-by-step explanation:
Low concentrations of thallium near the detection limit gave the dimensionless instrument readings: 213.5,181.3,170.5,182.5, 227.5,168.3,231.3,209.9,142.9, and 213.7. Ten blanks had a mean reading of 56.1. The slope of the calibration curve is 3.42×10
9
M
−1
. Estimate the signal and concentration detection limits and the lower limit of quantitation for thallium. signal detection limit: concentration detection limit: lower limit of quantitation:
The signal detection limit for thallium is approximately 16.39 dimensionless units. The concentration detection limit is approximately \(4.79 × 10^−9 M\). The lower limit of quantitation for thallium is approximately \(1.40 × 10^−9 M\).
How to estimate the signal detection limit?The signal detection limit is the smallest signal that can be reliably distinguished from the background noise. To estimate the signal detection limit for thallium, we can use the mean reading of the blanks and the standard deviation of the blank measurements.
The mean reading of the blanks is given as 56.1. The standard deviation of the blank measurements can be calculated using the formula:
\(\[ \sigma = \sqrt{\frac{\sum(x_i - \bar{x})^2}{n-1}} \]\)
where \(\sigma\) is the standard deviation, \(x_i\) is the individual measurement, \(\bar{x}\) is the mean reading, and \(n\) is the number of blank measurements.
Given that there are ten blank measurements, we can calculate the standard deviation as follows:
\(\[ \sigma = \sqrt{\frac{(x_1 - \bar{x})^2 + (x_2 - \bar{x})^2 + \ldots + (x_{10} - \bar{x})^2}{9}} \]\)
Next, we multiply the standard deviation by a factor, typically three, to estimate the signal detection limit. In this case, let's assume a factor of three.
Signal detection limit = 3 × standard deviation
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a geometric sequence has only positive terms. the third term is 100 and the eighth term is 3.125. find the common ratio. [answer format: 0.0]
The common ratio of the sequence is 0.5.
The common ratio of a geometric sequence can be found by dividing any term by its previous term. Let's call the first term "a" and the common ratio "r". Then we have:
third term = a * r^2 = 100
eighth term = a * r^7 = 3.125
We can divide the equation for the eighth term by the equation for the third term to eliminate "a":
\((a * r^7) / (a * r^2) = 3.125 / 100\)
\(r^5 = 0.03125\)
r = 0.5
Therefore, the common ratio of the sequence is 0.5.
We are given two terms of a geometric sequence and are asked to find the common ratio. We can use the formula for the nth term of a geometric sequence to write two equations involving the first term "a" and the common ratio "r". By dividing the two equations, we can eliminate "a" and solve for "r". In this case, we get a fifth degree equation for "r", which we can solve using a calculator or by recognizing that 0.03125 is equal to 1/32, and therefore r is equal to the fifth root of 1/32, which simplifies to 0.5.
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4 ^ x - 4 ^ 0 - 255 = 0
Answer:
x = 4
Step-by-step explanation:
Given the equation:
\(\displaystyle{4^x - 4^0 - 255=0}\)
We know that \(\displaystyle{a^0 = 1}\) where a ≠ 0. Therefore,
\(\displaystyle{4^x - 1 - 255=0}\\\\\displaystyle{4^x - 256=0}\)
Add both sides by 256, so we have:
\(\displaystyle{4^x=256}\)
Factor 256 out:
256 = 2 x 128 = 2 x 2 x 2⁶ = 2⁸
Therefore, 256 = 2⁸.
\(\displaystyle{4^x=2^8}\)
Convert to the same base:
\(\displaystyle{\left(2^2\right)^x=2^8}\\\\\displaystyle{2^{2x} = 2^8}\)
When two sides have same base, solve the equation through exponents:
\(\displaystyle{2x=8}\)
Divide both sides by 2, so we have:
\(\displaystyle{x=4}\)
Systolic Blood Pressure (SBP) of 13 workers follows normal distribution with standard deviation 10. SBP are as follows: 129, 134, 142, 114, 120, 116, 133, 142, 138, 148 , 129, 133, 140_ Find the 99%0 confidence interval for the mean SBP level: (124.84 (129.84 (126.84 (125.84 139.16) 139.16) 137.16) 138.16)
Answer:The 99% confidence interval is
To find the 99% confidence interval for the mean systolic blood pressure (SBP) level, we use the formula:
CONFIDENCE INTERVAL = Mean ± Z * (Standard Deviation / √n)
Where:
Mean is the sample mean of SBP
Z is the Z-score corresponding to the desired confidence level
Standard Deviation is the population standard deviation
Explanation:
Given that the sample size is 13 and the standard deviation is 10, we need to calculate the sample mean and the Z-score for the 99% confidence level.
First, we calculate the sample mean:
Mean = (129 + 134 + 142 + 114 + 120 + 116 + 133 + 142 + 138 + 148 + 129 + 133 + 140) / 13
= 1724 / 13
≈ 132.62
Next, we need to determine the Z-score for a 99% confidence level. The Z-score can be found using a Z-table or a statistical calculator. For a 99% confidence level, the Z-score is approximately 2.576.
Now, we can calculate the confidence interval:
Confidence Interval = 132.62 ± 2.576 * (10 / √13)
132.62 ± 2.576 * (10 / 3.6056)
≈ 132.62 ± 2.576 * 2.771
≈ 132.62 ± 7.147
Therefore, the 99% confidence interval for the mean SBP level is approximately (125.47, 139.77).
(5 points) l|v|| = 3 ||0|| = 1 The angle between v and w is 2 radians. Given this information, calculate the following: (a) v- w = 2.9981 (b) ||10 + 2w|| 4.99 (c) ||2v – 1w| 5.00
To calculate the values requested, we'll use the given information and apply the properties of vector operations.
(a) Vector subtraction: To calculate v - w, we subtract the components of w from the corresponding components of v.
\(v - w = |v| * |w| * cos(2) ≈ 3 * 1 * cos(2) ≈ 2.9981\)Therefore, v - w is approximately equal to 2.9981.(b) Magnitude of the sum: To calculate ||10 + 2w||, we substitute the given values into the formula ||A + B|| = √(A · A + B · B + 2A · B).\(||10 + 2w|| = √(10 · 10 + 2 · 2 + 2 · 10 · 1) = √(100 + 4 + 20) = √124 ≈ 11.1355\)Therefore, the magnitude of the sum 10 + 2w is approximately 11.1355.
(c) Magnitude of the difference: To calculate ||2v - w||, we substitute the given values into the formula ||A - B|| = √(A · A + B · B - 2A · B).
\(||2v - w|| = √(2 · 2 · 2 + 1 · 1 - 2 · 2 · 1) = √(8 + 1 - 4) = √5 ≈ 2.2361\)
Therefore, the magnitude of the difference 2v - w is approximately 2.2361.
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Can someone please help me woth this question
The probability is 0.527.
What is probability?It is a branch of mathematics that deals with the occurrence of a random event.
Total possible outcomes of two dice= 6²=36
Probability of getting even number on both dice (A)= 9/36
Now, probability of numbers whose difference is 1 (B)= 10/36
So,
P(A∪B) = 9/36+10/36=19/36=0.527
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Can someone help me with this please?
Answer:
AA
Step-by-step explanation:
The sides aren’t really useful to know why the triangles are similar. So you can use the AA method to know that they are similar triangles.
The meaning of 95% confidence. Which of the following best explains the meaning of 95% confidence in the interval given in the last question? Check only one. 95% of the population is in the interval. The methodology used to find this interval is correct 95% of the time. There is a 95% chance that the population mean is in the interval. 3. 3.128 Who Smokes More: Male Students or Female Students? Data 1.1 includes lots of information on a sample of 362 college students. The complete dataset is available at StudentSurvey. We see that 27 of the 193 males in the sample smoke, while 16 of the 169 females in the sample smoke. We will investigate the difference in proportions of male and female students who smoke. a. Define the parameters for this difference of proportions. b. Write the value of the sample statistic that estimates the difference of proportions, using correct notation. c. Use Statkey to find a 99% bootstrap confidence interval using percentiles. Include a screen shot showing the percentiles, and write the confidence interval here: Do not look for a data set. Remember that counts can be entered manually in Statkey. See class notes. d. Find a 95% bootstrap confidence interval using margin of error, based on the standard error estimate from your bootstrap distribution in the previous step (show calculations). e. Refer to the 99% confidence interval. Is it plausible that the proportions of all male and female students who smoke is the same? Justify your answer based on the confidence interval. f. If you answered No in the previous question, which group has a higher proportion? If you answered Yes, write N/A here. Sections 3.1-3.4 MATH 1342 Page 2 of 2
It is plausible to say that one group has a higher proportion of smokers than the other.
The meaning of 95% confidence in the given interval is that there is a 95% chance that the population mean is within the interval. This means that if we were to take repeated samples and calculate confidence intervals, 95% of those intervals would contain the true population mean.
To find the difference in proportions of male and female students who smoke, we define the parameters as the difference in proportions between the two groups.
The value of the sample statistic that estimates the difference of proportions, using correct notation, would be the difference in proportions in the sample.
To find a 99% bootstrap confidence interval using percentiles, we can use a tool like Statkey. This will give us a range of values within which we can be 99% confident that the true difference in proportions lies.
To find a 95% bootstrap confidence interval using margin of error, we can use the standard error estimate from the bootstrap distribution. This will give us a range of values within which we can be 95% confident that the true difference in proportions lies.
Based on the 99% confidence interval, it is unlikely that the proportions of all male and female students who smoke are the same. The confidence interval does not include zero, suggesting a significant difference between the two groups.
Therefore, it is plausible to say that one group has a higher proportion of smokers than the other.
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3. Reflect right triangle ABC across line BC. Classify
triangle ACA' according to its side lengths. Explain how
you know.
Answer:
Isosceles triangle
Step-by-step explanation:
Given
Triangle ABC
Required
Reflect across BC and name the triangle according to length of its side
When the triangle is reflected across line BC, the new triangle is ACA (see new attachment)
And the sides of this ACA are:
AC, CA and AA
Such that
AC = CA
and
\(AA = 2 * AB\)
\(AA = 2AB\)
From the description above, we have two sides (AC and CA) of the triangle to be equal.
By classification of sides, when two sides of a triangle are equal; such triangle is an isosceles triangle
Triangle ACA' has two equal sides, based on the side lengths, triangle ACA' can be classified as: an isosceles triangle.
Recall:
An isosceles triangle has two equal side lengths which lie opposite each other.Given that triangle ABC is a right triangle, if we reflect it across line BC, we will have mirror figure of right triangle ABC, forming triangle ACA'.
That is, two right triangles of ABC, which are reflections of each other, will form triangle ACA'. (See image attached).
Thus, this means that:
A'B = AB (congruent sides)Therefore,
A'A = 2(AB) or 2(A'B)Also, CA = C'A (congruent sides)
This means that, triangle ACA' has two equal sides that are opposite to each other.
Therefore, based on the side lengths, triangle ACA' can be classified as: an isosceles triangle.
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