Answer:
Step-by-step explanation:
49/9 is the correct answer
Answer:
49/9
Step-by-step explanation:
5*9= 45
45+4= 49
Hope this helps! :)
Please help and show how you found the answer step by step.
According to the information, the perimeter of the triangle is ≈ 31.18
How to calculate the perimeter of the triangle?To find the distance between two points, we can use the distance formula:
distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Let's label the coordinates as follows:
Point 1: (-2, 3)
Point 2: (3, -2)
Now we can substitute these values into the distance formula:
distance = sqrt((3 - (-2))^2 + (-2 - 3)^2)
distance = sqrt((5)^2 + (-5)^2)
distance = sqrt(25 + 25)
distance = sqrt(50)
distance ≈ 7.07
Therefore, the distance from (-2, 3) to (3, -2) is approximately 7.07 units.
To find the perimeter of the triangle, we need to find the length of all three sides of the triangle and then add them up.
Using the distance formula, we can find the length of the sides:
Side 1: (-2,3) to (3,-2)
d = √[(3 - (-2))^2 + (-2 - 3)^2]
= √[5^2 + (-5)^2]
= √50
= 5√2
Side 2: (3,-2) to (-7,-2)
d = √[(-7 - 3)^2 + (-2 - (-2))^2]
= √[(-10)^2 + 0^2]
= 10
Side 3: (-7,-2) to (-2,3)
d = √[(-2 - (-7))^2 + (3 - (-2))^2]
= √[5^2 + 5^2]
= 5√2
Therefore, the perimeter of the triangle is:
5√2 + 10 + 5√2 = 15√2 + 10 ≈ 31.18 (rounded to two decimal places)
An two of the three sides are equal, so it is an isosceles triangle.
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Which of these is an example of the Commutative property of addition? And Explain why? 3+5=4+4 or 3+5=5+3
Answer:
3+5=5+3
Step-by-step explanation:
a+b=b+a
comunitive property
Answer:
3+5 = 5+3
Step-by-step explanation:
Communative Property states that the numbers on which we operate (the numbers you use to do addition and multiplication) can be moved or swapped from their position without making any difference to the answer. In your awnser it dosen't matter if you were to swich around the 5 and 3. You would still get the same awnser.
A house is sold for $195,000. The mortgage is $168,745.60 at 8%. Annual taxes are $3,893.25. The closing will occur on June 15. What are the total prorations for interest (for the full month) and for property taxes to the nearest $100? Will the prorations be added to, or subtracted from, the seller's equity?
The total prorations for interest and property taxes to the nearest $100 are:
Proration for interest: $517
Proration for property taxes: $1,754
To calculate the total prorations for interest and property taxes, we need to determine how much the seller owes for each of these expenses up to the closing date of June 15.
First, let's calculate the daily interest rate on the mortgage. We can do this by multiplying the principal amount of the mortgage ($168,745.60) by the annual interest rate (8%) and then dividing by 365 (the number of days in a year):
Daily interest rate = ($168,745.60 x 0.08) / 365 = $36.94
Next, we need to determine the number of days from the start of the month (June 1) to the closing date (June 15):
Number of days = 15 - 1 = 14
Using the daily interest rate and the number of days, we can calculate the proration for interest:
Proration for interest = ($36.94 x 14) = $516.76
To calculate the proration for property taxes, we need to divide the annual property taxes ($3,893.25) by 365 to get the daily property tax rate:
Daily property tax rate = $3,893.25 / 365 = $10.65
Next, we need to determine the number of days from the start of the year to the closing date (June 15):
Number of days = 165
Using the daily property tax rate and the number of days, we can calculate the proration for property taxes:
Proration for property taxes = ($10.65 x 165) = $1,754.25
Therefore, the total prorations for interest and property taxes to the nearest $100 are:
Proration for interest: $517
Proration for property taxes: $1,754
These prorations will be subtracted from the seller's equity, since they are expenses that the seller owes up to the closing date.
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The measure of <1 is greater than 97° and at most 115°. Graph the possible values of x.
Answer:
The possible values of x are 10, 11, and 12
Step-by-step explanation:
9(10) + 7 = 97
9(11) + 7 = 106
9(12) + 7 = 115
a) (10 pts) Re-express the given differential equation as a first order differential equation by utilizing matrix
and vector notation and in accordance with ()
= () form.
b) (10 pts) Is the system obtained in (a) stable, neutrally stable of unstable? Determine this using matrix.
c) (10 pts) Compute the eigenvalues and eigenvectors of matrix.
d) (10 pts) Using the results computed in (c) find and matrices and show that =
−
relationship
(i.e., the diagonalization relationship) is a valid relationship.
a) To re-express the given differential equation as a first-order differential equation using matrix and vector notation, we can rewrite it in the form:
\(x' = Ax\)
where x is a vector and A is a square matrix.
b) To determine the stability of the system obtained in part (a), we need to analyze the eigenvalues of matrix A.
If all eigenvalues have negative real parts, the system is stable.
If at least one eigenvalue has a zero real part, the system is neutrally stable.
If at least one eigenvalue has a positive real part, the system is unstable.
c) To compute the eigenvalues and eigenvectors of matrix A, we solve the characteristic equation
\(det(A - \lambda I) = 0\),
where λ is the eigenvalue and I is the identity matrix.
By solving this equation, we obtain the eigenvalues.
Substituting each eigenvalue into the equation
\((A - \lambda I)v = 0\),
where v is the eigenvector, we can solve for the eigenvectors.
d) Once we have computed the eigenvalues and eigenvectors of matrix A, we can construct the diagonalization relationship as follows:
\(A = PDP^{(-1)}\)
where P is a matrix whose columns are the eigenvectors of A, and D is a diagonal matrix whose diagonal elements are the eigenvalues of A.
To show that this relationship is valid, we can compute \(PDP^{(-1)}\) and verify that it equals A.
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Find the value of x and y in simplified radical form.
x and y have the values 7 and 7√2, respectively.
The sides of a right triangle with 45-degree acute angles have a unique ratio of 1:1:2.
We can use this information to determine the values of x and y because the base is specified as being 7.
Let's give the perpendicular side the value of x, and the hypotenuse the value of y.
The perpendicular side (x) and the base (7) have the same length because the acute angles are both 45 degrees.
Consequently, x = 7.
We can determine that x:y:2x using the ratio of 1:1:2.
When we enter the value of x, we may calculate y:
7:y:√2(7)
Simplifying even more
7:y:7√2
Given that the hypotenuse (y) equals 72, we can write:
y = 7√2
Thus, x and y have the values 7 and 7√2, respectively.
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Use the number line to answer the question. Each tick represents 1 unit.
Describe the location of point K.
four more than M
three more than L
seven less than N
two less than J
Please be fast!!
Answer and Step-by-step explanation:
Essentially, you are describing the position of point K using the location of the other points on the graph.
Let's start listing some descriptions:
K is:
3 more than H
2 more than J
3 less than L
4 less than M
7 less than N
12 less than P
Now look at the answer choices and compare it to what we wrote.
We see that the answer choices A, B, and D are incorrect (based on what we wrote), and that answer choice C is correct.
[C. 7 less than N] is the correct answer.
#teamtrees #PAW (Plant And Water)
I hope this helps!
Answer: LESS THAN FOUR
Step-by-step explanation:
Please help!! Brainliest to correct
Answer:
Can you be more specific on this question?
Step-by-step explanation:
Given that n=20 what is the value of 3n+2
Step-by-step explanation:
\(given\)
n = 20
The value of 3n + 2 is
= 3 * 20 + 2
= 60 + 2
= 62
Hope it will help :)❤
Ross is trying to solve the equations 20 + 20y = 640. What is the value of
у
Plz help
First isolate y by moving the constant over to the other side of the equation. Then you want to divide by the value of y, to get just y.
20 + 20y = 640 ⇔ subtract 20 from both sides to isolate y
20 -20 +20y = 640 - 20
20y = 620
20y/20 = 620/20
y= 31
f r=9, b=5, and g=−6, what does (r+b−g)(b+g) equal?
-20
-8
8
19
20
Answer:
-20
Step-by-step explanation:
=(9+5-(-6)) (5+(-6))
=(20) (-1)
=-20
Review the graph.
On a coordinate plane, a circle has center (4, 0) and radius 4. Another circle has center (2, negative 3) and radius 6. The area inside of the first circle and outside of the second circle between the 2 circles is shaded.
Which system of inequalities is shown in the graph?
36 > (x + 3)2 + (y – 2)2 and 16 > (x – 4)2 + y2
36 > (x – 2)2 + (y + 3)2 and 16 > (x – 4)2 + y2
36 < (x + 3)2 + (y – 2)2 and 16 > (x – 4)2 + y2
36 < (x – 2)2 + (y + 3)2 and 16 > (x – 4)2 + y2
Answer:
36 < (x - 2)² + (y + 3)² and 16 > (x - 4)² + y²
Step-by-step explanation:
This is because the shaded area is inside the first circle (centered at (4, 0) with a radius of 4) but outside the second circle (centered at (2, -3) with a radius of 6). The inequalities reflect these conditions by setting the inequality signs accordingly. The inequality with "<" for the first circle ensures that the shaded area is within the circle, and the inequality with ">" for the second circle ensures that the shaded area is outside the circle.
You have saved $14,000 for a down payment on a house. Your bank requires a minimum down payment of 17%. What is the maximum price you can offer for a home in order to have enough money for the down payment? (Round your answer to two decimal places.)
The maximum price you can offer for a home is approximately $82,352.94 for a 17% down payment.
To determine the maximum price you can offer for a home, you need to calculate 17% of the total price, which will be your down payment of $14,000.
Let's assume the maximum price you can offer for the home is P dollars.
According to the given information, the down payment requirement is 17% of the total price. So, we can set up the following equation:
\(0.17P = $14,000\)
To solve for P, divide both sides of the equation by 0.17:
P = $14,000 / 0.17
Calculating this expression, we find:
P ≈ $82,352.94
Therefore, the maximum price you can offer for a home in order to have enough money for the 17% down payment is approximately $82,352.94.
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The hanger image below represents a balanced equation.
30
26
g
Find the value of g that makes the equation true.
g=
Answer correctly for brainlist
Answer:
Quadrilaterals
Step-by-step explanation:
Which of the following is an equivalent
simplified expression for
3(2x + 1) - 2(4x - 1)
A. 2x + 1
B. -2x + 5
C. -X + 5
D. 14x + 1
E. 14x - 1
Answer:
B. -2x + 5
Step-by-step explanation:
First, distribute the 3 and 2 to the parentheses:
3(2x + 1) - 2(4x - 1)
6x + 3 - 8x + 2
Add like terms:
-2x + 5
So, the simplified expression is -2x + 5
B is the correct answer
Answer:
it is B
Step-by-step explanation:
3*2x=6x
2*4x=8x
1*3=3
1*2=2
6x-8x= -2x
3+2=5
i got the +2 because there are two negative signs and that makes it positive
Find the value of y.
Answer:
y = \(\sqrt{55}\)
Step-by-step explanation:
using the Altitude- on- Hypotenuse theorem
(altitude)² = product of parts of hypotenuse
then
y² = 11 × 5 = 55 ( take square root of both sides )
y = \(\sqrt{55}\)
is pie a rational numbers
No, π (pi) is not a rational number. A rational number can be expressed as the ratio of two integers, while π is an irrational number. It cannot be expressed as a simple fraction or a finite decimal. It is an infinite non-repeating decimal, approximately equal to 3.14159.
explanation:
No, pie (π) is not a rational number. Pi is an irrational number, which means it cannot be expressed as a finite fraction or a ratio of two integers. Its decimal representation goes on forever without repeating or terminating. The value of pi is 3.14159, but it has an infinite number of decimal places.
pls help I have headache i try everything
Answer:
210 students
Step-by-step explanation:
30%=63
10%=63÷3
=21
100%=21×10
=210
They also ask for Yuri chose C as the correct answer.How did he get that answer?
Answer:
my best guess is that Yuri multiplied 28 (number of tables) by 12 (number of people at each table)
Step-by-step explanation
solve by using elimination. 12x + 36y = −3
−12x − 36y = 0
The given system of equations has no solution.
Given that a system of equations, 12x + 36y = −3 and −12x − 36y = 0, we need to solve it,
We know for a system of equations =
a₁x + b₁y = c₁ and a₂x + b₂y = c₂
If a₁ / a₂ = b₁ / b₂ = c₁ / c₂ then the system has infinite solutions.
If a₁ / a₂ = b₁ / b₂ ≠ c₁ / c₂ then the system has no solutions.
If a₁ / a₂ ≠ b₁ / b₂ then the system has a unique solution.
comparing the coefficients given,
-12/12 = -1
-36/36 = -1
-3/0 = -3
We get here the condition of a₁ / a₂ ≠ b₁ / b₂, which means that the system has no solution.
Hence the given system of equations has no solution.
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Can y’all help me on question 4?! I would really appreciate it have a good day!
Answer:
15:2
Step-by-step explanation:
If you take 45 / 6 you will end up with 7.5
You can't have a ratio with a fraction. So to get a whole number you multiply 7.5 by 2 to get a full number. Therefore 15:2
9514 1404 393
Answer:
D. Volcanic Gray
Step-by-step explanation:
The ratio of paint used is ...
black : white = (4 gal) : (1/2 gal) = 8 : 1 . . . . . . multiply given numbers by 2
This matches the ratio in the table for Volcanic Gray.
Roland has built a circuit, and is using a device called an
ammeter to measure how quickly electrical current is flowing
through the circuit. He calculates that the current should be
0.180 amps, but he measures the current as 0.173 amps. What
is Roland's percent error?
Roland's percent error is approximately 3.889%.
This means that his measured value differs from the actual value by 3.889% or 0.03889 in decimal form.
The positive sign indicates that Roland's measured value is slightly lower than the actual value.
To calculate Roland's percent error, we can use the formula:
Percent Error = (|Measured Value - Actual Value| / Actual Value) \(\times\) 100
Given that Roland measured a current of 0.173 amps while expecting a current of 0.180 amps, we can substitute these values into the formula:
Percent Error = (|0.173 - 0.180| / 0.180) \(\times\) 100
Simplifying the expression within the absolute value:
Percent Error = (|-0.007| / 0.180) \(\times\) 100
Since the absolute value of -0.007 is 0.007, we have:
Percent Error = (0.007 / 0.180) \(\times\) 100
Calculating the division:
Percent Error = 0.03889 \(\times\) 100
Percent Error = 3.889%.
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Jeff sells a pack of 36 pencils for $3.25. Betsy sells a pack of 12 pencils for $1.50. Which is the better buy?
Answer:
Jeff is the better buy
Step-by-step explanation:
3.25/36=0.090277777
1.50/12=0.125
Create a table of values for f and d (in feet) use the values of f given in the table. Perform one calculations on paper showing the units
gvsuisbdfiysdgfvbsdusbduhfbvgdufhysbdufhjusdisgdhgfvvfusdvfusdbf
Step-by-step explanation:
Previously: Multiplying
Polynomials
(x - 1)(x² + 3x - 4) = x³ + 2x² − 7x + 4
Solving the provided question, we can say that the quadratic equation is \((x - 1)(x^{2} + 3x - 4)\) = \(x^{3} + 2x^{2} - 7x + 4\) and the roots of the polynomial are x = 1, -1, 4.
A quadratic equation is what?A quadratic polynomial in a single variable is represented by the equation \(ax^{2}+bx+c=0\). a 0. Since this polynomial is of second order, the Fundamental Theorem of Algebra guarantees that it has at least one solution. There are both simple and complex solutions.
A quadratic equation is just that—quadratic. It has at least one word that has to be squared, as shown by this. One of the often used solutions for quadratic equations is "ax2 + bx + c = 0." where X is an undefined variable and a, b, and c are numerical coefficients or constants.
the quadratic equation is
\((x - 1)(x^{2} + 3x - 4)\) = \(x^{3} + 2x^{2} - 7x + 4\)
On multiplying,
⇒ \(x (x^{2} + 3x - 4) - (x^{2} + 3x - 4)\)
⇒ \(x^{3} + 3x^{2} - 4x - x^{2} - 3x + 4\)
⇒ \(x^{3} + 2x^{2} - 7x + 4\)
∴ We can say that LHS = RHS.
From given equation, the roots of the equation will be -
\((x - 1)(x^{2} + 3x - 4)\)
⇒ x - 1 = 0
⇒ x = 1
\(x^{2} + 3x - 4 = 0\)
⇒ \(x^{2} - 4x + x - 4\)
⇒ \(x(x - 4) + 1(x - 4)\)
⇒ (x + 1) (x - 4)
⇒ x = -1, x = 4
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2x + 4y = 14 and 3x – 4y = -39 solve by elimination
Please anyone help every time I post a question no one helps please help me.
Answer: x=-5 and y=6
Step-by-step explanation: i hope i did it right tell if i didnt
The Difference of Square: a^2 - b^2 = (a + b)(a - b)
Sara did a question as: 2x^2 - 2y^2 = (2x + 2y)(2x - 2y).
What's wrong with Sara's work? How to fix it?
Answer:
\(2x^2 - 2y^2 = 2(x - y)(x + y)\)
Step-by-step explanation:
Given
Difference of two squares: \(a^2 - b^2 = (a + b)(a - b)\)
Sara Solution to a question: \(2x^2 - 2y^2 = (2x + 2y)(2x - 2y).\)
Required
State what's wrong with Sara's work
How to fix it
In Sara's solution, the coefficient of x and y is 2. Sara's solution is wrong because she included the coefficients of x and y when converting the expression to difference of two squares.
To fix this, the very first thing that needs to done is to factorize the given expression (as follows)
\(2x^2 - 2y^2 = 2(x^2 - y^2)\)
Then the difference of two squares can be applied on the expression in bracket. This gives
\(2x^2 - 2y^2 = 2(x - y)(x + y)\)
A company uses the graph to show how many packages each truck driver delivers .How many packages will one truck driver deliver in a 7-hour day?
The truck driver would deliver 105 packages in a 7 hours day
What is an equation?An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.
Let y represent the number of packages delivered by the truck driver in x hours. Using the point (1, 15) and (4, 60). Hence, the equation is:
y - 15 = [(60-15)/(4-1)](x - 1)
y = 15x
For a 7 hour day (x = 7):
y = 15(7) = 105
The driver would deliver 105 packages in 7 hours
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Each class you create becomes a new ______ that can be used to declare variables and create objects. a. package b. instance c. library d. type. ANS: d. type.
Each class you create becomes a new __type____ that can be used to declare variables and create object