Answer:
1 -x -2 +2x = 10x -25 -x
Step-by-step explanation:
1-(x+2)+2x = 5(2x-5) - X,
Distribute
1 -x -2 +2x = 10x -25 -x
Answer:
b
Step-by-step explanation:
i just did the test <33
The answer above is NOT correct.
Find y as a function of a if y'''+4y'=0,
y(0)=-5, y'(0) = -18, y''(0) = 12. Y(x) = 2-3 sin 5x-9 cos 5x
The function y as a function of a in the given equation y'''+4y'=0 cannot be determined with the provided information. The equation is a third-order linear homogeneous differential equation, but the initial conditions y(0), y'(0), and y''(0) are given in terms of x instead of a. Without additional information or constraints relating a and x, it is not possible to find a specific solution for y as a function of a.
The given differential equation is y'''+4y'=0, where y represents a function of x. The initial conditions provided are y(0) = -5, y'(0) = -18, and y''(0) = 12. However, the function y(x) = 2 - 3sin(5x) - 9cos(5x) does not satisfy these initial conditions.
To find a general solution for the given differential equation, we can solve the characteristic equation. Let's assume y(x) = e^(rx), where r is a constant. Substituting this into the differential equation, we get the characteristic equation r^3 + 4r = 0. By factoring out an r, we have r(r^2 + 4) = 0. This equation has three roots: r = 0 and r = ±2i.
The general solution to the differential equation is then y(x) = c1e^(0x) + c2e^(2ix) + c3e^(-2ix), where c1, c2, and c3 are constants to be determined based on the initial conditions. However, without additional information or constraints relating a and x, we cannot determine the values of these constants or find a specific solution for y as a function of a.
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Let X
=
A
.
¯¯¯¯¯¯
B
C
. Evaluate X for
(a) A
=
1
,
B
=
0
,
C
=
1
, (b) A = B = C = 1 and ( c) A = B = C = 0.
The given expressions, when A=1, B=0, and C=1, X evaluates to 1.001; when A=B=C=1, X evaluates to 1.111; and when A=B=C=0, X evaluates to 0.000. These evaluations are based on the given values of A, B, and C, and the notation ¯¯¯¯¯¯BC represents the complement of BC.
To evaluate the expression X = A.¯¯¯¯¯¯BC, we substitute the given values of A, B, and C into the expression.
(a) For A = 1, B = 0, and C = 1:
X = 1.¯¯¯¯¯¯01
To find the complement of BC, we replace B = 0 and C = 1 with their complements:
X = 1.¯¯¯¯¯¯01 = 1.¯¯¯¯¯¯00 = 1.001
(b) For A = B = C = 1:
X = 1.¯¯¯¯¯¯11
Similarly, we find the complement of BC by replacing B = 1 and C = 1 with their complements:
X = 1.¯¯¯¯¯¯11 = 1.¯¯¯¯¯¯00 = 1.111
(c) For A = B = C = 0:
X = 0.¯¯¯¯¯¯00
Again, we find the complement of BC by replacing B = 0 and C = 0 with their complements:
X = 0.¯¯¯¯¯¯00 = 0.¯¯¯¯¯¯11 = 0.000
In conclusion, when A = 1, B = 0, and C = 1, X evaluates to 1.001. When A = B = C = 1, X evaluates to 1.111. And when A = B = C = 0, X evaluates to 0.000. The evaluation of X is based on substituting the given values into the expression A.¯¯¯¯¯¯BC and finding the complement of BC in each case.
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The middle school is holding a food drive for a local food pantry. If each student commits to bringing 9 cans of food, write an expression for the total number of cans for an unknown number of students, s
The expression for the total number of cans of food would be: 9s
Define the term variable?A variable is a symbol or letter that denotes a possible range of values or quantities. It is used to express relationships between numbers and to solve equations and problems, and is typically represented by a letter like x, y, or z.
A variable's value can be determined by its context of use or by resolving an inequality or equation that it appears in. Variables are frequently used in algebra to represent unknowns or to simplify challenging formulas.
Let's use the variable "s" to represent the number of students participating in the food drive.
Then, the expression for total number of cans of food would be: 9s
This is because each student is committing to bringing 9 cans of food, so if there are "s" students participating, then the total number of cans of food would be 9 times the number of students (9s).
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Simplify. 3 – 7 • 5 + 2 • 4 ASAP
Answer:
-40
Step-by-step explanation:
Use PEMDAS
3 – 7 • 5 + 2 • 4
Multiply first:
3-35+8
3-43
-40
Hope this helps! Please mark brainliest :)
Answer:
Step-by-step explanation:
3-7 times 5 + 2
3-35+2
-32+2
-30
Ethan burns 650 calories when he runs for 1 hour. Suppose he runs 5 hours in one week and is the answer going to be negative or positive
Answer:
Negative. Because he should run all seven weeks to get positive result.
The letters that spell MISSISSIPPI are each written on separate tiles lying facedown on a table. A tile
is selected at random, the letter is recorded, and then the tile is placed facedown on the table. Then
the process repeats.
What is the theoretical probability of choosing a tile with the letter P?
0 11
01/11
Answer: 2/11
Step-by-step explanation: there are 11 letters and 2 of them are p so the chances of getting p is 2/11
Answer:
2/11
Step-by-step explanation:
The total amount of tiles is 11. There are only 2 tiles that have the letter P on them.
Theoretical probability is the probability that should occur over many, many trials.
Theoretical probability = favorable outcomes / total outcomes.
In this scenario, the favorable outcome is the letter P. which there are two of. The total outcomes would be all the letters that make up the word MISSISSIPPI, or 11.
So your theoretical probability would be 2/11.
work out the values of a and b in the identity 5(7x + 8) + 3(2x + b) = ax+ 13
will give brainiest!!!
Answer:
a=41 b=-9
Step-by-step explanation:
By expanding the brackets on the left hand side of the equation you get,35x + 40 + 6x + 3b and by simplifying you get 41x + 40 + 3b.by comparing the x and constant terms on either side you find that a = 41, and3b + 40 = 13, rearranging b = -9.
Answer from Gauth math
Answer:
Hello,
Step-by-step explanation:
We are going to use identification of terms.
\(5(7x+8)+3(2x+b)=ax+13\\\\35x+40+6x+3b=ax+13\\\\41x+40+3b=ax+13\\\\\\\Longrightarrow \left\{\begin{array}{ccc}a&=&41\\3b+40&=&13\\\end{array}\right.\\\\\\\Longrightarrow \left\{\begin{array}{ccc}a&=&41\\b&=&-9\\\end{array}\right.\\\\\)
Produced by myself
pls explain how u get the answer help pls
Answer:
x=132°
Step-by-step explanation:
All four angles should add up to 360°
65°+86°+77°+x=360°
x=132°
Answer:
I got 132⁰ ans by adding all sides of no.
what is the mean of 3 7 5 13 20 23 39 40
Answer:
18.75
Step-by-step explanation:
You add all the numbers together, then divide that total by the amount of numbers you added together.
Simplify this expression.
–6w + (–8.3) + 1.5+ (–7w)
The simplified form of the expression -6w + (–8.3) + 1.5+ (–7w) is -13w - 6.8.
What is the simplified form of the expression?Given the expression in the question;
-6w + (–8.3) + 1.5+ (–7w)
To simplify, first remove the parenthesis
Note that;
- × + = -- × - = ++ × + = +-6w + × - 8.3 + 1.5 + × - 7w
-6w - 8.3 + 1.5 - 7w
Next collect and add like terms
-6w - 7w - 8.3 + 1.5
Add -6w and -7w
-13w - 8.3 + 1.5
Add -8.3 and 1.5
-13w - 6.8
Therefore, -13w - 6.8 is the simplified form.
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Write a variable expression to model real world situation.
A suit costs $65. Represent the cost of n suits.
A number is between 10 and 15. It has prime factors of 2 and 3. What is the number?
The number in between 10 and 15 and having prime factors of 2 and 3 is 12.
What is a number system?The number system is a way to represent or express numbers.
A decimal number is a very common number that we use frequently.
Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.
The integer between 10 and 15 are,
11,12,13,14
The prime factors of 2 and 3 will be given as,
\(2^{a} \times 3^{b}\) where a and b can be positive.
Since, 12 = 2² × 3¹
Thus, 12 is the only number that is the prime factor of 2 and 3 both.
Hence "The number between 10 and 15 and having prime factors of 2 and 3 is 12".
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3 divied \frac{3}{4}[/
Answer:
The answer is 4
Step-by-step explanation:
I did it and got it right
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The circle (x−5)^2 + (y−3)^2 = 16 can be drawn with parametric equations. Assume the circle is traced clockwise as the parameter increases.
If x=5+4cost
then y= __
Given the circle equation: (x-5)^2 + (y-3)^2 = 16
Since we have the parametric equation for x: x = 5 + 4cos(t), we need to find the parametric equation for y.
To do this, let's substitute the given parametric equation for x into the circle equation:
(5 + 4cos(t) - 5)^2 + (y - 3)^2 = 16
Simplifying, we get:
(4cos(t))^2 + (y - 3)^2 = 16
Now, since we are going clockwise, we will use -sin(t) instead of sin(t) for the parametric equation for y:
(4cos(t))^2 + (3 - 4sin(t) - 3)^2 = 16
Simplifying, we get:
(4cos(t))^2 + (-4sin(t))^2 = 16
Now, we know that (cos(t))^2 + (sin(t))^2 = 1, so:
(4^2)((cos(t))^2 + (sin(t))^2) = 16
16(1) = 16
This equation holds true, so our parametric equation for y is:
y = 3 - 4sin(t)
Therefore, the complete parametric equations for the circle traced clockwise are:
x = 5 + 4cos(t)
y = 3 - 4sin(t)
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Please answer all the questions, I’d really appreciate it
The GCF of the questions are as follows:
1. 2
2. 12
3. 2
4. 3y
5. 4
6. 2x
7. 1
8. 4ab
9. 7c
10. 1
11. (x+9)(x-9)
12. (x+2)(x-2)
13. (x+12)(x-12)
14. (1+7x)(1-7x)
15. (4x+5)(4x-5)
16. (3x+10)(3x-10)
17. (6x+7)(6x-7)
18. 2(x+5)(x-5)
19. (2x+10)(2x-10)
20. (4x+10)(4x-10)
Define GCF.
The term "greatest common factor" is abbreviated as "GCF." As the greatest number that is a factor of two or more other numbers, the GCF is thus named. The greatest factor that 24 and 36 share, for instance, is 12, hence the GCF of 24 and 36 is 12. 12 is the highest common factor between 24 and 36, while there are others. Since we frequently utilize fractions in our daily lives and hence frequently employ the greatest common factors (GCF), this makes GCF incredibly handy.
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Which transformation matrix would result in a 270° counterclockwise rotation about the origin?
The given transformation matrix [0 -1; 1 0] represents a 270° counterclockwise rotation about the origin.
The transformation matrix that would result in a 270° counterclockwise rotation about the origin is:
```
[ 0 -1 ]
[ 1 0 ]
```
To understand how this matrix represents a rotation, let's consider its components. The matrix has two columns, each representing the coordinates of a point before and after the transformation. The first column represents the coordinates (x', y') of the transformed point, and the second column represents the original coordinates (x, y) of the point.
In this specific matrix, the point (x, y) is transformed to (x', y') by performing the following calculations:
```
x' = 0 * x + (-1) * y
y' = 1 * x + 0 * y
```
Simplifying these equations gives:
```
x' = -y
y' = x
```
These equations show that the transformed point (x', y') is obtained by swapping the x and y coordinates of the original point (x, y) and changing the sign of the new y coordinate.
This transformation effectively rotates a point counterclockwise by 90° about the origin. To achieve a 270° counterclockwise rotation, we apply this transformation three times consecutively. Each rotation by 90° adds up to a total rotation of 270°.
Hence, the given transformation matrix [0 -1; 1 0] represents a 270° counterclockwise rotation about the origin.
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5x+4y=25 - (5x+2y=3)
Answer:
T1he values for x and y of the equations is y = 11, and x = -19/5.
Step-by-step explanation:
To solve this question, we need to rearrange the expression:
5x+4y=25 - (5x+2y=3)
Look, if we subtract one equation to the other, then:
5x+4y=25 [1]
-(5x+2y=3) [2]
Which is the same as:
5x+4y=25
-5x-2y=-3
Subtract them:
5x+4y=25
-5x-2y=-3
---------------
2y =22
y = 22/2 = 11
Then, y = 11.
To find x, we can substitute y in either equation [1] or [2].
Let us use [1]
5x+4y=25
5x+4(11)=25
5x+44=25
5x=25-44
5x=-19
x = -19/5
Then, the values for x and y of the equations is y = 11, and x = -19/5.
Una familia gasta 2/5 de su presupuesto en vivienda y 1/3 en comida. Si en vivienda gasta 5400 euros anuales. ¿Qué cantidad de dinero gasta al año en comida?
A. $ 13.500
B. $ 4.500
C. $ 10.800
D. $ 5400
Drag the tiles to the correct boxes to complete the pairs.
Match each person with the description of their importance in the fight for civil rights.
Cesar Chavez
Sylvia Mendez
Russell Means
Fred Korematsu
established the American Indian Movement
arrowRight
founded the National Farm Workers Association
arrowRight
case ended segregation of Hispanics in California schools
arrowRight
arrested for refusing to go to an internment camp
arrowRight
The people, when matched with their importance in the fight for Civil rights, are:
Cesar Chavez - founded the National Farm Workers AssociationSylvia Mendez - case ended segregation of Hispanics in California schoolsRussell Means - established the American Indian MovementFred Korematsu - arrested for refusing to go to an internment campWho were some notable civil rights leaders?Cesar Chevez will always be known for his role in founding the National Farm Workers Association, which campaigned for the rights of farmers in California. There was also Sylvia Mendez, who contributed to the ending of segregation of Hispanics in California schools.
Russell Means then established the American Indian Movement that helped many Natives and Fred Korematsu was an American - Japanese who refused to go to an internment camp in WWII.
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What includes all positive and negative numbers but not zero?
The "integers"— , positive, negative, NOT zero. The "rational numbers"— , or fractions, like 355/113.
8 + 6 x 9
More about to come
Answer:
62
Step-by-step explanation:
8+(6*9)
8+54
62
8 + 6 x 9 = 62
hope this helps
A sign made of aluminum is in the shape of a pyramid. The base is a triangle with a base of 3 feet and a height of 5 feet. The height of the sign is 6 feet. The aluminum costs $8 per cubic foot. What is the cost of the sign?
A) $722
B) $240
C) $120
D) $168
The cost of the pyramid shape sign is $240.
What is a pyramid?A pyramid is a 3D figure that has a base made of a polygon and faces that are all triangular and connected. The conventional shape of a pyramid is created by joining each vertex of the base to a single common tip or apex. In this section, let's study more about pyramids.
We know the volume of a pyramid is (1/3)×length of the bese×width of the base×height.
∴ The volume of the pyramid with base length of 6feet, base width of 3feet and height 5 feet is,
= (1/3)×6×3×5 cubic feet.
= 30 cubic feet.
Given, The aluminum costs $8 per cubic foot.
∴ The total cost of the pyramid is = (30×8) = $240.
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the number √ 63 − 36 √ 3 can be expressed as x y √ 3 for some integers x and y. what is the value of xy ? a. −18 b. −6 c. 6 d. 18 e. 27
The value of xy is -54
To simplify the expression √63 − 36√3, we need to simplify each term separately and then subtract the results.
1. Simplify √63:
We can factorize 63 as 9 * 7. Taking the square root of each factor, we get √63 = √(9 * 7) = √9 * √7 = 3√7.
2. Simplify 36√3:
We can rewrite 36 as 6 * 6. Taking the square root of 6, we get √6. Therefore, 36√3 = 6√6 * √3 = 6√(6 * 3) = 6√18.
3. Subtract the simplified terms:
Now, we can substitute the simplified forms back into the original expression:
√63 − 36√3 = 3√7 − 6√18.
Since the terms involve different square roots (√7 and √18), we can't combine them directly. But we can simplify further by factoring the square root of 18.
4. Simplify √18:
We can factorize 18 as 9 * 2. Taking the square root of each factor, we get √18 = √(9 * 2) = √9 * √2 = 3√2.
Substituting this back into the expression, we have:
3√7 − 6√18 = 3√7 − 6 * 3√2 = 3√7 − 18√2.
5. Now, we can express the expression as x y√3:
Comparing the simplified expression with x y√3, we can see that x = 3, y = -18.
Therefore, the value of xy is 3 * -18 = -54.
So, the correct answer is not provided in the given options.
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A particle of mass mm moves in the plane with coordinates ( x ( t ) , y ( t ) )(x(t),y(t)) under the influence of a force that is directed toward the origin and has magnitude k / \left( x ^ { 2 } + y ^ { 2 } \right)k/(x 2 +y 2 )—an inverse-square central force field.
An inverse-square central force field is \(mx^{''} = -\frac{kx}{r^3}\\ \\mx^{''} = -\frac{ky}{r^3}\\\).
From Newton's second law of motion,
mass × acceleration = Force acting on the mass
Resolving the force F along x and y directions and applying Newton's second law of motion,
Using,
\(r = \sqrt{x^2+y^2}\)
Therefore,
\(m\frac{d^2x}{dt^2} =-|F|cos \theta\)
\(mx^{''} = -\frac{k}{x^2+y^2} \frac{x}{\sqrt{x^2+y^2} } \\\\mx^{''} = - \frac{kx}{(x^2+y^2)^\frac{3}{2} }\\ \\mx^{''} = - \frac{kx}{r^3}\)
Where \(r = \sqrt{x^2+y^2}\)
and cosθ = \(\frac{x}{\sqrt{x^2+y^2} }\)
Similarly using,
\(r = \sqrt{x^2+y^2}\)
we get,
\(m\frac{d^2y}{dt^2} = -|F|sin\theta\)
\(mx^{''} = -\frac{k}{x^2+y^2} \frac{x}{\sqrt{x^2+y^2} } \\\\mx^{''} = - \frac{kx}{(x^2+y^2)^\frac{3}{2} }\\ \\mx^{''} = - \frac{kx}{r^3}\)
Where \(r = \sqrt{x^2+y^2}\)
and sinθ = \(\frac{y}{\sqrt{x^2+y^2} }\)
Therefore we showed that holds
\(mx^{''} = -\frac{kx}{r^3}\\ \\mx^{''} = -\frac{ky}{r^3}\\\)
Hence the answer is an inverse-square central force field is \(mx^{''} = -\frac{kx}{r^3}\\ \\mx^{''} = -\frac{ky}{r^3}\\\).
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Find the value of :
\(5 { }^{2} +2 {}^{5} \)
|x-1| +5 = 2
please gimme an answer
The Graph of the Equation |x-1| +5 = 2 is attached below
This is further explained below.
What is an Equation?Generally, An equation is a mathematical statement that demonstrates that two mathematical expressions have the same value.
This is the most basic version of the definition of an equation in algebra. For example, the phrase "3x + 5" = 14 is an equation, in which the two expressions "3x + 5" and "14" are separated by the symbol for "equal."
In conclusion, Please find attached the graph representing the equation "x-1 + 5 = 2."
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your group fundraiser has a goal of $75 to pay for a new piece of equipment. you are selling pencils () for $0.50 and bracelets () for $1.00.
To reach your fundraising goal of $75, you will need to sell 150 pencils for $0.50 each and 0 bracelets for $1.00 each.
To reach your fundraising goal of $75, you can sell pencils for $0.50 and bracelets for $1.00.
1. Calculate the total amount of money needed to reach the goal:
Goal amount = $75
2. Determine the number of pencils and bracelets you need to sell to reach the goal:
Let's assume you sell x number of pencils and y number of bracelets.
The amount raised from selling pencils = x * $0.50
The amount raised from selling bracelets = y * $1.00
The total amount raised from both items should be equal to the goal amount:
x * $0.50 + y * $1.00 = $75
3. Simplify the equation:
0.50x + 1.00y = 75
4. Solve for one variable in terms of the other:
Let's solve for x in terms of y:
0.50x = 75 - 1.00y
x = (75 - 1.00y) / 0.50
5. Substitute the value of x into the equation:
(75 - 1.00y) / 0.50 * 0.50 + y * $1.00 = $75
75 - 2y + y = 75
-y = 0
y = 0
6. Find the value of x:
x = (75 - 1.00 * 0) / 0.50
x = 75 / 0.50
x = 150
To reach your fundraising goal of $75, you will need to sell 150 pencils for $0.50 each and 0 bracelets for $1.00 each.
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#7 please write in slope intercept form!
Answer:
3/4 or 1/4 stays
Step-by-step explanation:
I do not understand the question need some help solving
Answer:
the answer is C = between 10 and 17 ft
On your own graph paper, draw axes, decide on a scale, and plot points to represent the data in the table at right. Does this data appear to be proportional? Explain why or why not.
Quantity X Quantity Y
2 6.3
6 18.9
9 28.35
5 15.75
1 3.15
Answer:
3.15
Step-by-step explanation:
This graph is proportional. divide the y by x (k=y/x) (constant of proportionality. 6.3/3=3.15 18.9/6=3.15 28.35/9=3.15 15.75/6=3.15 3.15/1=3.15