Answer: 6.25^12
Step-by-step explanation:
This triangle has one side that lies on an extended line segment.
Based on this triangle, what statement about x is true?
Responses
x = 33 because 180−147=33
x, = 33 because , 180 minus 147 equals 33
x = 62 because 147−85=62 and 85 + 62 = 147
x, = 62 because , 147 minus 85 equals 62, and 85 + 62 = 147
x = 95 because 180−85=95 and 85 + 95 = 180
x, = 95 because , 180 minus 85 equals 95, and 85 + 95 = 180
x = 118 because 180 − 147 + 85 = 33 + 85 = 118
In a triangle one side that lies on an extended line segment, statement about x is true, x = 62 because 147−85=62 and 85 + 62 = 147. So Option B is correct
What is a triangle?In mathematics, the triangle is a type of polygon which has three sides and three vertices. the sum of all the interior angles of the triangle is 180°
Given that,
A triangle, which has one interior angle 85° and one exterior angle 147°
Another exterior angle x = ?
It is already known that,
Sum of complementary angles are 180
So,
⇒ Y + 147 = 180
⇒ Y = 180 - 147
⇒ Y = 33
sum of all the interior angles of the triangle is 180°
X + Y + 85 = 180
X = 180 - 85 - 33
X = 62
Hence, the value of x is 62
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PLEASE HELP!!! 20 POINTS AND BRAINLIEST !! URGENT
Answer:
D) 51 ft.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
change from rectangular to spherical coordinates. (let ≥ 0, 0 ≤ ≤ 2, and 0 ≤ ≤ .) (a) (0, 3, −3) (, , ) = (b) (−6, 6, 6 6 )
Change from rectangular to spherical coordinates: In spherical coordinates, (0, 3, -3) is (3, π/2, 5π/4) and In spherical coordinates, (-6, 6, 6√2) is (√108, π/4, π/2).
In spherical coordinates, a point in three-dimensional space is represented by three coordinates: ρ (rho), θ (theta), and φ (phi).
For part (a), we can use the following formulas to convert from rectangular to spherical coordinates:
ρ = √(x^2 + y^2 + z^2)
θ = arctan(y/x)
φ = arccos(z/ρ)
Plugging in the values (0, 3, -3), we get:
ρ = √(0^2 + 3^2 + (-3)^2) = 3
θ = arctan(3/0) = π/2 (since x = 0 and y > 0)
φ = arccos((-3)/3) = 5π/4 (since z < 0)
Therefore, in spherical coordinates, (0, 3, -3) is (3, π/2, 5π/4).
For part (b), we can use the same formulas to convert from rectangular to spherical coordinates:
ρ = √(x^2 + y^2 + z^2)
θ = arctan(y/x)
φ = arccos(z/ρ)
Plugging in the values (-6, 6, 6√2), we get:
ρ = √((-6)^2 + 6^2 + (6√2)^2) = √108
θ = arctan(6/(-6)) = π/4 (since x < 0 and y > 0)
φ = arccos((6√2)/√108) = π/2
Therefore, in spherical coordinates, (-6, 6, 6√2) is (√108, π/4, π/2).
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which of these random samples represents a representative sample of the systolic blood pressure of all patients in a hospital?
A representative sample based on the hospital scenario is option A
What is representative sample?A subset of a larger population that accurately reflects the traits, diversity, and distribution of the total population is referred to as a representative sample.
Due to time, financial, or logistical limitations, it is frequently not possible or practical to investigate an entire population when conducting research or gathering data. In these situations, researchers choose a representative sample from which to deduce generalizations about the total population.
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Last question!!
Match the picture to the reason that would prove the triangles congruent.
Options:
NONE
ASA
SSS
SAS
AAS
HL
Answer:
Answer: SAS
Step-by-step explanation:
We must prove that triangles ABC and EDC are congruent.
Since BD bisects AE, then AC is congruent with CE.
Since AE bisects BD, then BC is congruent with CD
Angle C is 90° in the triangle EDC and is also 90° in triangle BCA because they are vertical angles.
Being two sides and the included angle congruent, then both triangles are similar by the SAS theorem.
Answer: SAS
Chiko bought 75 shares of stock at $19.58 per share. He received dividends of
$73.42 during the year. At the end of the year, his stock was valued at $22.14. (Do
not use commas, percentage signs or dollar signs in your answers. Round percentage
answers to the nearest tenth)
What was his total profit?
Answer:
265.42
Step-by-step explanation:
The total Chikp paid for the stock was:
(75 shares)*($19.58/share) = $1468.50
--
At the end of the year his stock was worth (75 shares)*($22.14/share) = $1660.50
The is a net gain of ($1660.50 - $1468.50) = $192
Add the dividend income to arrive at his total profit for the year:
$192 + $73.42 = $265.42
Please Help With These 4 Questions. I NEED THIS ASAP, I FORGOT TO DO IT YESTERDAY!!! The Questions Are Down Below But I Will Also Type Them Out Over Here:
1. What is 10% of 47?
A. 470
B. 47
C. 4.70
D. 37
2. What is 20% of 82? *
A. 16.4
B. 62
C. 164
3. What is 50% of 30? *
A. 15
B. 80
C. 60
4. What is 10% of 9? *
A. 90
B. 19
C. 0.9
Answer:
1) C. 4.70
2) A. 16.4
3) A. 15
4) C. 0.9
Step-by-step explanation:
I did the math, I hope this helps. (I would appreciate Brainliest)
use newton's method to approximate the given number correct to eight decimal places. 95 95
We find that the approximation converges to 9.74679419, accurate to eight decimal places. So, the square root of 95, approximated using Newton's method, is 9.74679419.
Newton's method is a way to approximate the roots of a function. In this case, we want to approximate the square root of 95 correct to eight decimal places. To use Newton's method, we start with an initial guess and then apply the following formula repeatedly:
x1 = x0 - f(x0) / f'(x0)
where x0 is our initial guess, f(x) is the function we are trying to find the root of (in this case, f(x) = x^2 - 95), and f'(x) is the derivative of f(x) (which is 2x).
Let's start with an initial guess of 10:
x1 = 10 - (10^2 - 95) / (2 * 10) = 5.75
We can continue this process, plugging in our new guess into the formula each time, until we reach a value that is accurate to eight decimal places. After a few iterations, we get:
x8 = 9.74679434
This is our final answer, correct to eight decimal places.
Using Newton's method, we can approximate the square root of a number, such as 95, to eight decimal places. Newton's method is an iterative process that starts with an initial guess and refines the guess using the formula:
x1 = x0 - f(x0)/f'(x0)
For square root approximation, f(x) = x^2 - a, where a is the number we want to find the square root of (95 in this case), and f'(x) = 2x.
Let's start with an initial guess x0 = 9 (since 9^2 = 81 is close to 95). We can then perform the following iterations:
1. x1 = 9 - (9^2 - 95)/(2*9) ≈ 9.72222222
2. x2 = 9.72222222 - (9.72222222^2 - 95)/(2*9.72222222) ≈ 9.74679424
3. x3 = 9.74679424 - (9.74679424^2 - 95)/(2*9.74679424) ≈ 9.74679419
Continuing this process, we find that the approximation converges to 9.74679419, accurate to eight decimal places. So, the square root of 95, approximated using Newton's method, is 9.74679419.
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An investor deposits $825 into a retirement account that pays 6.5% simple annual interest. If no additional investment is made, how much interest should the investor expect at the end of 4 years?
Answer:
1039.5
Step-by-step explanation:
6.25% of 825 = 53.625
53.625 x 4 = 214.50
825 + 214.50 = 1039.5
Based on the amount invested and the rate of interest, the investor can expect to have $214.50 in interest.
The investor deposited $825 which will increase at a simple rate of 6.5%.
This interest in dollars is:
= 6.5% x 825
= $53.625
In 4 years therefore, the total interest will be:
= 53.625 x 4
= $214.50
In conclusion, the investor should expect interest of $214.50
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Pleaseeeee helpp :(((
=======================================================
Explanations:
1a. The graph decreases whenever the curve goes downhill as you read from left to right. This is from x = 3 to x = 13. So the decreasing interval is \(3 < x < 13\)See figure 1 below. 1b. The graph increases when the graph goes uphill. This happens two separate times. First from x = 0 to x = 3. Then the second portion is from x = 13 to x = 18. Refer to figure 1.2. The min value is the smallest y value possible. This is y = 0.25 as shown in figure 2. This is where the lowest point on the so called "roller coaster" occurs. The max value is y = 3 which is where the highest point is located.3. The domain is the set of all allowed x values. This is from x = 0 to x = 18, including both endpoints. So we say the domain is \(0 \le x \le 18\). The range is a similar story but for the y values. The range is \(0.75 \le y \le 3\), which has its endpoints match up perfectly with the min and max found earlier.Francis heard that a car stereo system was on sale for 30%off. If the sale price was %57.75, what was the original price of the stereo?
Answer:
Original Price = Sale Price / ( 1 - Percent Off / 100 )
= 57.75 / (1 - 30/100)
= 57.75 / (1 - 0.3)
= 57.75 / 0.7
= $82.50
Original price = $82.50
tan x(cot x- csc x)=
Answer:
1 - sec (x)
Step-by-step explanation:
Write the problem as a mathematical expression
tan (x) (cot(x)−csc(x)
Apply the distributive property
tan (x) cot(x) +tan (x) (−csc(x)
Rewrite in terms of sines and cosines, then cancel the common factors
1+tan (x) (−csc(x)
Then u get 1 - sec (x)
which line is the transversal that forms angle3 and angle13
Answer: q
Step-by-step explanation:
How do you write these points in point-slope form? (-3,2) (-6,-4)
Answer:
y-2=2(x+3)
Step-by-step explanation:
A. Is there a GCF?
B. Is the polynomial a special case? If so, name the special polynomial.
4x^2 + 4x + 1
Therefore, after answering the given query, we can state that The given polynomial 4x2 + 4x + 1 cannot be classified as a special case polynomial because it is not a special polynomial.
What is Highest Common Factor?The biggest common divisor of multiple non-zero integers is defined in mathematics as the highest significant integer the fact that divides the associated integers. The sum of two or more integers is the greatest common variable (HCF) of those numbers. It is commonly referred to as a most common divisor as a result. (GCF). To find the largest common divisor, take the prime values of each of the two (or a number of) integers and identify the shared prime factors. The largest common divisor after that is the sum of all the prime factors. The greatest common factor of a given number is determined by dividing it by the largest integer.
A. The polynomial 4x2 + 4x + 1 must be factored into its prime components in order to determine its GCF (Greatest Common Factor). However, using integers or rational numbers, this equation cannot be factored any further. Consequently, this polynomial's GCF is 1.
B. The given polynomial 4x2 + 4x + 1 cannot be classified as a special case polynomial because it is not a special polynomial.
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If a sample includes three individuals with scores of 4, 6, and 8, the estimated population variance is 1) (2 + 0 + 2) / 2 = 2 2) (4 + 0 + 4) / 3 = 2.67 3) (2 + 0 + 2)/3 = 1.33 6 4) (4 + 0 + 4) / 2 - 4
If a sample includes three individuals with scores of 4, 6, and 8, the estimated population variance is (4 + 0 + 4) / 2 - 4. So, correct option is 4.
The estimated population variance formula is the sum of squared deviations from the mean divided by the degrees of freedom. In this case, the degrees of freedom would be n-1, where n is the sample size.
Using the given sample of 4, 6, and 8, we can calculate the sample mean as (4+6+8)/3 = 6.
Then, we calculate the deviations from the mean for each score:
4 - 6 = -2
6 - 6 = 0
8 - 6 = 2
We square each deviation to get 4, 0, and 4. Then, we sum the squared deviations: 4 + 0 + 4 = 8.
Since there are three scores in the sample, the degrees of freedom is 3 - 1 = 2.
Finally, we divide the sum of squared deviations by the degrees of freedom to get the estimated population variance: 8/2 = 4.
Therefore, option 4) (4 + 0 + 4) / 2 = 4 is the correct answer.
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Lucas made the list of all his assets and liabilities below. Highlight each item in
the box that is an asset.
.
• credit card balance: $2,576
checking account balance: $98.00
outstanding car balance: $12,500
• value of car: $22,800
jewelry: $1,750
student loan balance: $22,300
Based on the list above, what is Lucas's net worth?
Answer:
I got 12,148. Is that an option?
Step-by-step explanation:
98.00 checking account
car (value - outstanding balance) 12,500
plus jewelry $1750
is it a function it is for my ouiz if so can u help me with every thing
Answer:
uh what are we suppose to do with the number
Step-by-step explanation:
what are we suppose to do with the numbersm
Determine if the equation is linear,quadratic,exponential, or absolute value Y=x² -5x+6
Explanations:
Note that any expression of the form:
\(ax^2\text{ + bx + c}\)is a quadratic polynomial.
The given equation in the question is:
\(Y=x^2\text{ - 5x + 6}\)Comparing the given equation with the general expression I wrote above:
a = 1, b = -5 and c = 6.
Since the given equation takes the form of the general expression, it is therefore quadratic.
Problem 2: Consider the system defined by; x = Ax+ Bu 8-2 1 20 0 where A = 1 10 10 B = 10 ,C={0} and D = 0 1 4 0 0 b) Find the state variable feedback gain vectorr K, so that the closed loop poles can be moved to -10±j*20 and -40 by hand.
The state variable feedback gain vector K needs to be determined to place the closed-loop poles of the system at specified locations (-10±j*20 and -40). This can be achieved by using the pole placement method to calculate the gain matrix K.
In order to place the closed-loop poles at the desired locations, we can use the pole placement technique. The closed-loop poles represent the eigenvalues of the system matrix A - BK, where B is the input matrix and K is the gain matrix. The desired characteristic equation is given by \(s^3\) + 50\(s^2\) + 600s + 1600 = 0, corresponding to the desired pole locations.
By equating the characteristic equation to the desired polynomial, we can solve for the gain matrix K. Using the Ackermann formula, the gain matrix K can be computed as K = [k1, k2, k3], where k1, k2, and k3 are the coefficients of the polynomial that we want to achieve.
To find the coefficients k1, k2, and k3, we can equate the coefficients of the desired characteristic equation to the coefficients of the characteristic equation of the system. By comparing the coefficients, we obtain a set of equations that can be solved to determine the values of k1, k2, and k3.
After obtaining the values of k1, k2, and k3, the gain matrix K can be constructed, and the closed-loop poles of the system can be moved to the desired locations (-10±j*20 and -40). This ensures that the system response meets the specified performance requirements.
In conclusion, the state variable feedback gain vector K can be determined by solving a set of equations derived from the desired characteristic equation. By choosing appropriate values for K, the closed-loop poles of the system can be placed at the desired locations, achieving the desired performance for the system.
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what is the slope of a line parallel to the line y=3x-4=8y+1
Answer: If the original equation is y = 3x -4, the slope is 3.
Any equation of a line parallel to the line y = 3x -4 will have a slope of 3.
Step-by-step explanation:
In slope-intercept form, y =mx + b the coefficient of x, m is the slope.
Here 3 is that value.
It is very unusual to have two equal signs in a question about slope.
I am not sure what to do with the =8y + 1
Is this supposed to be another equation in the system, missing a term?
Which of the following statements is true of the Alien and Sedition Acts?
They were designed to keep immigrants and the French in power.
They encouraged Americans to speak out against the government.
They were supported by Federalists and not by Democratic-Republicans.
Answer:
C (the last one)
Step-by-step explanation:
The Alien and Sedition Acts were a series of four laws passed by the U.S. Congress in 1798 amid widespread fear that war with France was imminent. The four laws–which remain controversial to this day–restricted the activities of foreign residents in the country and limited freedom of speech and of the press. Also, The Alien and Sedition Acts were four laws passed by the Federalist-dominated 5th United States Congress and signed into law by President John Adams in 1798. Seeing this, the last on is the only reasonable one.
Hope this helps!!!!
Answer:
They were supported by Federalists and not by Democratic-Republicans.
Step-by-step explanation:
I took the edge 2021 test
BRAILIEST?
The lines below are perpendicular. If the slope of the green line is ą, what is
the slope of the red line?
Answer:
See below
Step-by-step explanation:
If i recall right when two slopes are perpendicular one slope is supposed to be the negative reciprical of the other slope, because of this I think your answer should be B. -\frac{2}{3}
Hope this helps
The lines are perpendicular and the slope of the red line is m₂ = -2/3
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m₁ = 3/2
So , the slope of the green line is m₁ = 3/2
Since the lines are perpendicular to each other , the product of their slopes will be equal to -1
And , m₁ x m₂ = -1
So , ( 3/2 ) x m₂ = -1
Multiply by ( 2/3 ) on both sides , we get
m₂ = ( -2/3 )
Therefore , the slope of the red line is ( -2/3 )
Hence , the slope of the red line m₂ = ( -2/3 )
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The complete question is attached below :
The lines below are perpendicular. If the slope of the green line is 3/2 what is the slope of the red line?
At a real estate agency, an agent sold a house for $323,000. The commission rate is 6.5% for the real estate agency and the commission rate for the agent is 25% of the amount the real estate agency gets. How much did the agency make on the house? How much did the agent earn in commission?
Answer:
20,0995 or 80,750
hope this helps sorry if im wrong
Step-by-step explanation:
Answer:
i dont know
Step-by-step explanation: I hope you find your answer
What is the mean of the data set?
Fifth Grade Jump Distance
2 0
3 2 4 6
4 0 2 4 8
5 5
6 5
2 0 = 20 inches
42
40
45
20
Answer:
42
Step-by-step explanation:
Add all the numbers 20+, 32, 34, 36, 40, 42, 44, 48, 55, 65=416
then divide by total number of digits
(Mean: The mean is the average. It is found by adding all the data values and then dividing by the number of data points.)
41.6 rounded to 42
Tammy, Abdul, and Sam have a total of $75 in their wallets. Abdul has $9 more than Tammy. Sam has 2 times what Abdul has. How much do they have in their wallets?
Let's use T, A, and S to represent the Amount of money that Tammy has $3, Abdul has $30, and Sam has $42 in their wallets.
Let's use T, A, and S to represent the amount of money that Tammy, Abdul, and Sam have, respectively.
From the problem, we know that:
1. T + A + S = $75 (the total amount of money they have)
2. A = T + $9 (Abdul has $9 more than Tammy)
3. S = 2A (Sam has 2 times what Abdul has)
We can use equation 2 to substitute for A in equations 1 and 3:
1. T + (T + $9) + S = $75
2. S = 2(T + $9)
We can simplify equation 1 by combining like terms:2T + $9 + S = $75
We can also simplify equation 3 by distributing the 2:S = 2T + $18
Now we have two equations with two variables:2T + $9 + S = $75
S = 2T + $18
We can solve for T in the second equation:S - $18 = 2T T = (S - $18)/2
We can substitute this expression for T in the first equation:
2[(S - $18)/2] + $9 + S = $75
Simplifying:S - $18 + $9 + S = $75
2S - $9 = $75
2S = $84
S = $42
So Sam has $42. We can use equation 3 to find that Abdul has:
A = 2S/2 + $9 = $21 + $9 = $30
Finally, we can use equation 1 to find that Tammy has:
T + $30 + $42 = $75
T = $75 - $72 = $3
Therefore, Tammy has $3, Abdul has $30, and Sam has $42 in their wallets.
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No idea how to do
\(\frac{4r + 20}{r + 5}\)
when r ≠ 5 ?
Factorize the numerator:
4r + 20 = 4r + 4×5 = 4 (r + 5)
I think you meant to say r ≠ -5, which means r + 5 ≠ 0, so that the denominator is never zero and so the expression is defined (no division by zero). This lets you cancel the factor of r + 5 in the numerator with the one in the denominator:
(4r + 20)/(r + 5) = 4 (r + 5)/(r + 5) = 4
What are the coordinates of the vertex of the function f(x)=x2 10x−3? (â€"5, â€"28) (â€"5, 28) (5, â€"28) (5, 28)
The given equation, f(x) = x² + 10x - 3, has the following vertex: (-5, -28).
Define the term coordinates of vertex?The coordinates of a point where a parabola crosses their axis of symmetry can be determined using the vertex formula for parabolas. The point is the vertex (h,k). As is common knowledge, a parabola's standard equation is y = ax² + bx + c.The quadratic equation of a form ax² + bx + c is f(x) = x² + 10x - 3.
The expression denotes the vertical axis of such quadratic equation;
x = -b/2a
b = 10
a = 1
x = -10/(2×1) = -5
Its y coordinate of the vertex is found by entering x = -5 into the equation f(x) = x² + 10x - 3; hence, we have;
y = (-5)² + 10(-5) - 3
y = 25 - 50 - 3
y = -28
Thus, the given function, f(x) = x² + 10x - 3, has the following vertex: (-5, -28).
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The correct question is-
What are the coordinates of the vertex of the function f(x) = x2 + 10x - 3?
Directions: Using the digits 1 - 9 at most one time each, fill in the boxes to make each expression evaluate as a perfect square number. Example: 16 = 4 * 4 also equals 8 * 2.
The missing number in the boxes using the concept of perfect square are;
1) 4
2) 7 and 2
3) 4
4) 3 and 9
5) 3
How to interpret perfect squares?A perfect square is defined as a number that is the square of a whole number. For example, 36 is a perfect square being the square of 6. Other perfect squares that are between 0 and 1000 are 1, 4, 9, 16, 25, 3649, 64, e.t.c
1st box: We see it as;
___ * 2 * 2
Using the concept of perfect squares and the pattern given, we can say that the missing number is 4
2nd box: 14 * __ * ___
Using the concept of perfect squares and the pattern given, we can say that the missing numbers are respectively 7 and 2
3rd box: 2 * 8 * ___
Using the concept of perfect squares and the pattern given, we can say that the missing number is 4
4th box: __ * 3 * _____
Using the concept of perfect squares and the pattern given, we can say that the missing numbers are respectively 3 and 9
5th: 3 * ____
Using the concept of perfect squares and the pattern given, we can say that the missing number is 3
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HURRY UP Please answer this question
Answer:
√29 =c
Step-by-step explanation:
a^2+b^2=c^2
5^2+2^2=c^2
25+4=c^2
29=c^2
√29=c