\( \:\:\:\:\:\:\longrightarrow \sf \underline{P = 2 ( x +y)}\\\)
\( \:\:\:\:\:\:\longrightarrow \sf\underline{Perimeter_{(rectangle) } = 2 ( Height +Base)\: unit}\\\)
Where-
P = Perimeter of rectangle x = Height of recatngle y = Base of rectangleAs per question, we are given that -
Height, x = 10 ft Base, y = 9 ftWe are asked to find out the value of perimeter for the given rectangle. Now that we have all the required values, so we can put them into the formula and solve for the perimeter -
\( \:\:\:\:\:\:\longrightarrow \sf\underline{Perimeter_{(rectangle) } = 2 ( Height +Base)\: unit}\\\)
\( \:\:\:\:\:\:\longrightarrow \sf Perimeter_{(rectangle) } = 2\bigg(10+9\bigg)\\\)
\( \:\:\:\:\:\:\longrightarrow \sf Perimeter_{(rectangle) } = 2 \times 19\\\)
\( \:\:\:\:\:\:\longrightarrow \sf \underline{Perimeter_{(rectangle) }=38 \:ft }\\\)
Therefore, the perimeter of the rectangle is 38 ft.Inequalities - Introduction
Answer:
n = 19
Step-by-step explanation:
2n > 36 ( divide both sides by 2 )
n > 18
and
5n < 100 ( divide both sides by 5 )
n < 20
so n > 18 and n < 20
thus n = 19
How many pounds are in 1 1/2 pounds and 8 ounces? There are _____ pounds in 1 1/2 pounds and 8 ounces.
Answer:
Hope this helps
Step-by-step explanation:
Since 16 ounces equal 1 pound, we’ll add 16 + 16, which is 32 ounces. For one half of a pound, simply divide the amount of ounces in a pound (16) by half. 16 divided by 2 is 8, so in total your answer would be 40 ounces in 2 1/2 pounds.
Write a verbal description of the set {3,6,9}
Answer:
They are each a consecutive multiple of 3 and the highest number is the sum of the two lower numbers.
The higher number is also a square product of the lower number/
Step-by-step explanation:
3, 6. 9
3 = 3 x 1
6 = 3 x 2
9 = 3 x 3
and
3+ 6 = 9
and
3^2 = 9
recall from example 3 in section 1.3 that the set of diagonal matrices in m2x2(f) is a subspace. find a linearly independent set that generates this subspace.
A linearly independent set that generates the subspace of diagonal matrix in M2x2(F) is {[1,0;0,0], [0,0;0,1]}.
A subspace of M2x2(F) is a set of all diagonal matrices, which are matrices of the form [a,0;0,b] with a, b∈F.
A linearly independent set of vectors that generate this subspace is {[1,0;0,0], [0,0;0,1]}. Any diagonal matrix can be written as a linear combination of these two vectors.
A subspace of M2x2(F) is a set of all diagonal matrices, which are matrices of the form [a,0;0,b] with a,b∈F. This means that all the diagonal entries in the matrix must be non-zero. To find a linearly independent set that generates this subspace, we can start by considering the simplest form of a diagonal matrix, which is [1,0;0,0]. This vector is linearly independent, as it cannot be expressed as a linear combination of any other vector in the space. Similarly, [0,0;0,1] is also linearly independent, as it can't be expressed as a linear combination of any other vector.
These two vectors form a linearly independent set that generates the subspace of diagonal matrices in M2x2(F). Any diagonal matrix can be written as a linear combination of these two vectors. For example, the matrix [2,0;0,3] can be expressed as 2[1,0;0,0]+3[0,0;0,1]. Thus, this set of vectors is sufficient to generate the entire subspace.
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A carpentry tool has replaceable hexagonal heads. The diagram below shows the replaceable head. *Picture not drawn to scale What is the area of the replaceable head? Round to the nearest hundredth, if necessary. A. 13.59 square inches B. 12 square inches C. 15 square inches D. 17.81 square inches
Answer:
Step-by-step explanation:c 15
Question 1-2
What is the value of a³ + b (6 + c), when a = 2, b = 3, and c = 4?
Answer:
\(\huge\boxed{\sf 38}\)
Step-by-step explanation:
Given expression:= a³ + b (6 + c)
Put a = 2, b = 3 and c = 4
= (2)³ + 3 (6 + 4)
= 8 + 3(10)
= 8 + 30
= 38\(\rule[225]{225}{2}\)
Answer:
Step-by-step explanation:
the requied answer is 38.
according to the question the value of a=2,b=3,c=4.
here,
to find the value of a³ + b (6 + c)we have to do it in steps:
step 1: solve the bracket (6+4) =10.
step 2: solve the value of a³ =8.
now put these values ,
=8+3(10)
=38.
On a super clearance sale, bathing suits were marked 85% off. What is
the sale price of a bathing suit that was originally priced $60?
Answer: $9
Step-by-step explanation: 85% off means when you multiply the number by 0.85 you subtract that from the original number, 60 times 0.85 is 51 and 60-51=9! Hope this helps!
factor the trinomial : 6x2 + x - 2 =
Answer:
(3x+2)(2x-1)
Step-by-step explanation:
6x²+x-2
6x²+4x-3x-2
2x(3x+2)-1(3x+2)
(3x+2)(2x-1)
Ken owns 500 shares of LaceNBrace, which makes hockey equipment. He receives a notice stating the company will be paying $0.15 dividend per share. What is the total dividend payment he receives for that quarter? O $750 O $8.50 O $7.55 O $75
Ken will receive a total dividend payment of $75 for that quarter.
We have to given that,
Ken owns 500 shares of LaceNBrace, which makes hockey equipment.
And, He receives a notice stating the company will be paying $0.15 dividend per share.
Now, For the total dividend payment Ken receives for that quarter, we can multiply the dividend per share by the total number of shares he owns:
= $0.15 per share x 500 shares
= $75
Therefore, Ken will receive a total dividend payment of $75 for that quarter.
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Can someone help me pls
The correct solution of the expression 3/4 ( 6x - 4) = 1/2 (x + 4) with the property that justify each step is shown below.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 3/4 ( 6x - 4) = 1/2 (x + 4)
Now, Solve the expression as;
⇒ 3/4 ( 6x - 4) = 1/2 (x + 4)
⇒ 9/2x - 3 = 1/2x + 2 By Distributive property
⇒ 9/2x - 3 - 1/2x = 1/2x + 2 - 1/2x Subtraction property of equality
⇒ (9/2 - 1/2)x - 3 = 2 Combine like terms
⇒ 4x - 3 = 2 Subtraction property
⇒ 4x - 3 + 3 = 2 + 3 Addition property of equality
⇒ 4x = 5
⇒ 1/4 × 4x = 1/4 × 5 Multiplication property of equality
⇒ x = 5/4
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Use the information in the diagram to solve for x.
Answer:
x = 29
Step-by-step explanation:
105 + 110 + 2x + 3x = 360
Simplify
215 + 5x = 360
Move all terms not containing x to the right side of the equation.
5x = 145
x = 29
good luck, i hope this helps :)
Find the value of x.
Answer:
x = 10
Step-by-step explanation:
You want the value of x in triangle RST with angle bisector UT dividing RS into parts RU=3x and US=x+2, while RT=40 and ST=16.
Angle bisectorThe angle bisector divides the sides of the triangle proportionally;
3x/40 = (x +2)/16
6x = 5x +10 . . . . . . . multiply by 80
x = 10 . . . . . . . . . subtract 5x
The value of x is 10.
<95141404393>
Find the values of A and B in Ax + By = 80 such that the equation is perpendicular to 14x + 35y = 70 and has the same y-intercept.
Two perpendicular lines have an opposite slope.
Then you have the next equation of the line:
\(14x+35y=70\)You can find the slope and the y-intercept by turning this to a form slope-y-intercept (y=mx+b) by clearing the varible y:
Solve for y. Y/4 - y-1/2>3
Answer:
y < -14/3
Step-by-step explanation:
y/4 - y - 1/2 > 3
+1/2 +1/2
---------------------------
y/4 - y > 7/2
*4 *4
---------------------------
y - 4y > 14
-3y > 14
/-3 /-3
---------------------------
y < -14/3
Answer:
y < -14/3 --> final solution
To find the end behavior
Answer:
hope this helps
Step-by-step explanation:
To determine its end behavior, look at the leading term of the polynomial function. Because the power of the leading term is the highest, that term will grow significantly faster than the other terms as x gets very large or very small, so its behavior will dominate the graph
Find value of b and A
Answer:
Hi
Step-by-step explanation:
Please paste your question so I can solve it
Thanks
Roberto made a line plot to show the weight in pounds of the bags of granola in his store he concluded that the total weight of the granola was 2/1/2+2/3/4+3=8/1/4 pounds
The correct total weight of the bags of granola is 8 1/4 pounds.
One thing that can be done to improve Roberto's reasoning is to ensure the accuracy of the calculations.
In his conclusion, Roberto added the weights of the bags of granola (2 1/2, 2 3/4, and 3) and claimed that the total weight was 8 1/4 pounds. However, the sum of these weights does not equal 8 1/4 pounds.
To address this, Roberto should recheck his calculations. Adding mixed numbers involves adding the whole numbers separately and then adding the fractions separately. In this case, 2 1/2 + 2 3/4 + 3 can be calculated as follows:
2 + 2 + 3 = 7 (sum of whole numbers)
1/2 + 3/4 = 2/4 + 3/4 = 5/4 = 1 1/4 (sum of fractions)
Thus, the correct sum is 7 + 1 1/4 = 8 1/4 pounds.
By double-checking the calculations and providing the accurate sum, Roberto's reasoning would be more precise, reliable, and free from errors.
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The probable question may be:
Roberto made a line plot to show the weight in pounds of the bags of granola in his store he concluded that the total weight of the granola was 2 1/2+2 3/4+3=8 1/4 pounds.
what is one thing that you could do to Roberto's Reasoning
12. Una notaría cobra $3500 por elaborar un título de propiedad y $2000 por el acta constitu-
tiva de una empresa. En un mes realizó un total de 22 operaciones, entre títulos y actas que
representaron un ingreso total de $53000. ¿Cuántos títulos y actas se elaboraron?
Usando un sistema de ecuaciones, hay que se elaboraron 6 títulos y 16 actas.
Para el sistema, hay que:
x es el número de títulos elaborados.y es el número de actas elaboradas.Total de 22 operaciones, o sea:
\(x + y = 22\)
$3500 por elaborar un título de propiedad y $2000 por el acta constitutiva de una empresa. Ingreso total de $53000, o sea:
\(3500x + 2000y = 53000\)
De el primer ecuación:
\(y = 22 - x\)
Reemplazando en la segunda:
\(3500x + 2000y = 53000\)
\(3500x + 2000(22 - x) = 53000\)
\(1500x = 9000\)
\(x = \frac{9000}{1500}\)
\(x = 6\)
\(y = 22 - x = 22 - 6 = 16\)
Se elaboraron 6 títulos y 16 actas.
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Teuta bought a car. Its price fell by 23% at the end of the first year. At the end of the first year, her car cost 6575.8 eu How much did Teuta buy the car?
Teuta bought the car for 8545.71 eu.
What is percent in math?
Percentages are essentially fractions where the denominator is 100. To show that a number is a percent, we use the percent symbol (%) beside the number. For example, if you got 75 questions right out of 100 on a test (75/100), you would have scored 75%.
Let's assume that the initial price of the car is x.
After a 23% drop in price, the new price of the car is: x -0.23x = 0.77x
We know that the new price after the first year is 6575.8 eu: 0.77x = 6575.8
Solving for x, we get: x = 6575.8/0.77 8545.71
Therefore, Teuta bought the car for approximately 8545.71 eu.
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What is the difference of –96.43 – (–98.67)?
Answer:
2.24
Step-by-step explanation:
This problem can actually be changed from a subtraction problem to an addition problem. Two negative signs together make a positive.
So, the problem becomes:
-96.43
+ 98.67
Now, remember this phrase to help solve problems like this:
Same sides add and keep. Different signs subtract. Keep the sign of the higher number.
Consider a medium with parameters € = 1.2 (10^-10 )F/m , n= 3(10^-3) H/m and sigma=0. Magnetic field intensity in the medium is given as R = 2cos (10^10t- 600x)äz Am.
Use Maxwell's equations to obtain the followings:
1) Magnetic flux density
These questions is circuit theory
Using Maxwell's equations, we can determine the magnetic flux density. One of the Maxwell's equations is:
\(\displaystyle \nabla \times \mathbf{H} = \mathbf{J} + \frac{\partial \mathbf{D}}{\partial t}\),
where \(\displaystyle \nabla \times \mathbf{H}\) is the curl of the magnetic field intensity \(\displaystyle \mathbf{H}\), \(\displaystyle \mathbf{J}\) is the current density, and \(\displaystyle \frac{\partial \mathbf{D}}{\partial t}\) is the time derivative of the electric displacement \(\displaystyle \mathbf{D}\).
In this problem, there is no current density (\(\displaystyle \mathbf{J} =0\)) and no time-varying electric displacement (\(\displaystyle \frac{\partial \mathbf{D}}{\partial t} =0\)). Therefore, the equation simplifies to:
\(\displaystyle \nabla \times \mathbf{H} =0\).
Taking the curl of the given magnetic field intensity \(\displaystyle \mathbf{R} =2\cos( 10^{10} t-600x)\hat{a}_{z}\, \text{Am}\):
\(\displaystyle \nabla \times \mathbf{R} =\nabla \times ( 2\cos( 10^{10} t-600x)\hat{a}_{z}) \, \text{Am}\).
Using the curl identity and applying the chain rule, we can expand the expression:
\(\displaystyle \nabla \times \mathbf{R} =\left( \frac{\partial ( 2\cos( 10^{10} t-600x)) \hat{a}_{z}}{\partial y} -\frac{\partial ( 2\cos( 10^{10} t-600x)) \hat{a}_{z}}{\partial z}\right) \mathrm{d} x\mathrm{d} y\mathrm{d} z\).
Since the magnetic field intensity \(\displaystyle \mathbf{R}\) is not dependent on \(\displaystyle y\) or \(\displaystyle z\), the partial derivatives with respect to \(\displaystyle y\) and \(\displaystyle z\) are zero. Therefore, the expression further simplifies to:
\(\displaystyle \nabla \times \mathbf{R} =-\frac{\partial ( 2\cos( 10^{10} t-600x)) \hat{a}_{z}}{\partial x} \mathrm{d} x\mathrm{d} y\mathrm{d} z\).
Differentiating the cosine function with respect to \(\displaystyle x\):
\(\displaystyle \nabla \times \mathbf{R} =-2( 10^{10}) \sin( 10^{10} t-600x)\hat{a}_{z} \mathrm{d} x\mathrm{d} y\mathrm{d} z\).
Setting this expression equal to zero according to \(\displaystyle \nabla \times \mathbf{H} =0\):
\(\displaystyle -2( 10^{10}) \sin( 10^{10} t-600x)\hat{a}_{z} \mathrm{d} x\mathrm{d} y\mathrm{d} z =0\).
Since the equation should hold for any arbitrary values of \(\displaystyle \mathrm{d} x\), \(\displaystyle \mathrm{d} y\), and \(\displaystyle \mathrm{d} z\), we can equate the coefficient of each term to zero:
\(\displaystyle -2( 10^{10}) \sin( 10^{10} t-600x) =0\).
Simplifying the equation:
\(\displaystyle \sin( 10^{10} t-600x) =0\).
The sine function is equal to zero at certain values of \(\displaystyle ( 10^{10} t-600x) \):
\(\displaystyle 10^{10} t-600x =n\pi\),
where \(\displaystyle n\) is an integer. Rearranging the equation:
\(\displaystyle x =\frac{ 10^{10} t-n\pi }{600}\).
The equation provides a relationship between \(\displaystyle x\) and \(\displaystyle t\), indicating that the magnetic field intensity is constant along lines of constant \(\displaystyle x\) and \(\displaystyle t\). Therefore, the magnetic field intensity is uniform in the given medium.
Since the magnetic flux density \(\displaystyle B\) is related to the magnetic field intensity \(\displaystyle H\) through the equation \(\displaystyle B =\mu H\), where \(\displaystyle \mu\) is the permeability of the medium, we can conclude that the magnetic flux density is also uniform in the medium.
Thus, the correct expression for the magnetic flux density in the given medium is:
\(\displaystyle B =6\cos( 10^{10} t-600x)\hat{a}_{z}\).
Please help!! Pythagorean theorem worksheet
Answer:
1. The law states that
a^2 =b^2 +c^2
a^2 = 6^2+3^2
a^2= 36+9
a^2= 45
✅ a^2 = ✅ 45
a =✅ 45
a= 6.7082039324993
To 9 decimal place
a = 6.708203932
Follow and like if you want the answer for questions 2 and 3
9. Find m DF
m
140°
DF:
=
E
44°
20. Find
mZPQR.
131*
m/POR=
Need done asap please show work
According to the angles between intersecting secant and tangent, the value of
angle DF is 52 degrees
angle PQR = 49 degrees
How to solve for angle DFThe value of angle DF is solved using the angles of intersecting secant out side the circle
The theorem give the formula in the form
44 = 1/2 (140 - DF)
88 = 140 - DF
DF = 140 - 88
DF = 52 degrees
Using intersection of tangents, for the second figure
exterior angle = 1/2 (major arc - minor arc)
major arc = 360 - 131 = 229
PQR = 1/2 (229 - 131)
PQR = 49 degrees
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Get this answer correct u get a brainleist
That is the volume of a basketball
if u look it up u dont get it
Answer:
Imma guess around 350 cubic inches
Step-by-step explanation:
I'm just going off of my hand compared to my basketball
Answer:
About 433.526 inches^3
Step-by-step explanation:
Goal: Calculate the volume of a Basketball as accurately as possible. Objective 1: Calculate the volume of a basketball.
Step One: Find the radius of the basket ball inflated at 8 PSI. To do this we used a string to measure the circumference of the basket ball arriving at a measurement of 29 inches. Next we inserted that number into the formula C = 2πR where C= circumference and R= Radius. We found that where C= 29inches, R= 4.615 inches.
Solve with Volume of a ball or sphere = 4/3*pi*radius
Help pls thank you so much
This is geometry help me
Answer:
Step-by-step explanation:
Remark
9.3 x and 60 degrees are all related to the Tangent of L or Tan(L) as you would find it on your calculator.
Givens
Opposite = 9.3Adjacent = xTheta = 60Formula
Tan(60) = opposite / Adjacent Substitute Values
Solution
Tan(60) = 9.3 / x Multiply both sides by x
x*Tan(60) = x * 9.3 /x
x* Tan(60) = 9.3 Divide both sides by Tan(60)
x * Tan(60) / Tan(60) = 9.3/Tan(60)
x = 9.3 / 1.7321
x = 5.369
Answer
x = 5.4
line cd contains the points (-4,1), (-1,5), and (5,13). if ab bisects cd A(2,2) and B (-4,k), what is the value of k
To solve the provided question, we can use the following equations to find the value of K in intersection lines - \(a_{1} x_{0} + b_{1} x_{0} + c1 = 0\) , \(a_{2} x_{0} + b_{2} x_{0} + c2 = 0\)
what are intersection lines?In Euclidean geometry, the empty set, a point, or another line can cross another line. For instance, computer graphics, motion planning, and collision detection can all benefit from differentiating these scenarios and locating the junction. In a plane, intersecting lines are any two or more lines that cross one another. The point of intersection, which can be found on all intersecting lines, is where the crossing lines share a common point.
Given,
points are -
L1 = (-4,1), (-1,5), and (5,13)
L2 = A(2,2) and B (-4,k)
To find the value K,
we can use the below equation
\(a_{1} x_{0} + b_{1} x_{0} + c1 = 0 \\a_{2} x_{0} + b_{2} x_{0} + c2 = 0\)
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Please look at the pic and help!!
Answer:
4x² + 22x - 12
Step-by-step explanation:
A = bh/2
A = (4x - 2)(2x + 12)/2
A = (8x² + 48x - 4x - 24)/2
A = (8x² + 44x - 24)/2
A = 4x² + 22x - 12
When an athlete hits a ball all of the following would make a difference in the height and distance that the ball goes. ball How hard you hit the swing ● The angle of the is blowing air Which way the wind How hard the wind is blowing Temperature of the Humidity of the air How high you hit the ball
All options except "How high you hit the ball" would affect the ball's height and distance.
Selecting which would make a difference in the height and distanceThe following factors would make a difference in the height and distance that the ball goes when an athlete hits a ball:
How hard you hit the swingThe angle of the swingWhich way the wind is blowingHow hard the wind is blowingTemperature of the airHumidity of the airTherefore, all options except "How high you hit the ball" would affect the ball's height and distance.
When an athlete hits a ball, there are several factors that can affect the ball's trajectory, including the force and angle of the swing, as well as external environmental factors such as wind, temperature, and humidity.
The harder the athlete hits the ball, the more force will be imparted to the ball, and the farther it will travel.
Similarly, the angle of the swing can affect the trajectory of the ball, with a higher or lower angle resulting in different heights and distances traveled.
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If the Jones family owned a $300,000 home, a $12,000 car, and had $150,000 in other assets, what would be their net worth? $462,000 $450,000 $312,000 $138,000
Answer:
462,000
Step-by-step explanation:
300,000+150,000+12,000=462,000
Answer:
Step-by-step explanation: