Answer:
x is expressed in terms of y and z as x = z + y - xy^2.
Step-by-step explanation:
z + y = x + xy^2
Rearrange the equation to isolate x:
x = z + y - xy^2
Therefore, x is expressed in terms of y and z as x = z + y - xy^2.
aaaaaaaahhhhhhhhhhhhhhhh I will give Brainliest!!!
help please .........
Answer: .
Step-by-step explanation:
Which of the following is a solution to the equation x^2 = -144?
A.) x=12
B.) x= -12
C.) x= -72
D.) this equation has no real solution
Answer: No real solutions
Step-by-step explanation: to solve for x and find a solution you need to take the square root of -144
This is not possible as this a negative number . There is a solution if we use complex numbers, but this not included in the question
Given the scheme code as follows. what is the output? (define not-gate (lambda(x) (if (= x 0) 1 0))) (define onescomplement (lambda (a-list) (map not-gate a-list))) (onescomplement '(0 1 0 2 0 3))
The output of the expression (onescomplement '(0 1 0 2 0 3)) is the list (1 0 1 0 1 0).
Given the scheme code provided, the output of the expression (onescomplement '(0 1 0 2 0 3)) can be determined.
First, let's understand what the code is doing. The code defines two procedures: not-gate and onescomplement.
The not-gate procedure takes an input, x, and checks if it is equal to 0 using the = operator. If x is equal to 0, it returns 1. Otherwise, it returns 0. Essentially, it negates the input value.
The onescomplement procedure takes a list, a-list, as input. It uses the map function to apply the not-gate procedure to each element in the list, creating a new list where each element is the complement of the corresponding element in the input list.
Now, let's evaluate the expression (onescomplement '(0 1 0 2 0 3)) step-by-step:
1. The onescomplement procedure is called with the list '(0 1 0 2 0 3) as input.
2. The map function is applied to the input list, with the not-gate procedure as the function argument. This means that each element in the list will be passed as an argument to the not-gate procedure.
3. The not-gate procedure is applied to each element in the list: 0, 1, 0, 2, 0, and 3.
4. For each element, not-gate checks if it is equal to 0. If it is, it returns 1. Otherwise, it returns 0.
5. The map function returns a new list with the complemented values: (1 0 1 0 1 0).
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Solve the equation AB=BC for A, assuming that AB and C are square matrices and Bis invertible.?
\(A = B^-1 * BC\)
Since B is invertible, it can be used to solve the equation.
1. Calculate the inverse of B, \(B^-1\).
2. Multiply\(B^-1\) with BC, to obtain A.
Assuming that AB and C are square matrices and B is invertible, the equation AB=BC can be solved for A. To do this, we first need to calculate the inverse of B, \(B^-1\). The inverse of a matrix is defined as the matrix which when multiplied to the original matrix, yields the identity matrix. Once we have the inverse of B, we can use it to solve the equation by multiplying \(B^-1\) with BC, which will give us A. This works because when we multiply a matrix by its inverse, the result is always the identity matrix. Hence, by multiplying the inverse of B with BC, we can obtain A.
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1. a) Starting with the second order rate law [] / = −[]
2 derive the integrated rate law in the form below: [] = []0 /
1+ []0 (10 Marks)
b) Explain how
a) To derive the integrated rate law from the second order rate law, we start with the differential rate equation:
\[ \frac{d[A]}{dt} = -k[A]^2 \]
where \([A]\) represents the concentration of the reactant A and \(k\) is the rate constant.
To integrate this equation, we separate the variables and integrate both sides:
\[ \int \frac{d[A]}{[A]^2} = -\int k dt \]
This gives us:
\[ -\frac{1}{[A]} = -kt + C \]
where \(C\) is the integration constant. We can rearrange this equation to isolate \([A]\):
\[ [A] = \frac{1}{kt + C} \]
To determine the value of the integration constant \(C\), we use the initial condition \([A] = [A]_0\) at \(t = 0\). Substituting these values into the equation, we get:
\[ [A]_0 = \frac{1}{C} \]
Solving for \(C\), we find:
\[ C = \frac{1}{[A]_0} \]
Substituting this value back into the equation, we obtain the integrated rate law:
\[ [A] = \frac{1}{kt + \frac{1}{[A]_0}} \]
b) The integrated rate law describes the relationship between the concentration of a reactant and time in a chemical reaction. It provides a mathematical expression that allows us to determine the concentration of the reactant at any given time, given the initial concentration and rate constant.
In the derived integrated rate law, we observe that the concentration of the reactant \([A]\) decreases with time (\(t\)). As time progresses, the denominator \(kt + \frac{1}{[A]_0}\) increases, leading to a decrease in the concentration. This is consistent with the second order rate law, where the rate of the reaction is directly proportional to the square of the reactant concentration.
The integrated rate law also highlights the inverse relationship between the concentration of the reactant and time. As the denominator increases, the concentration decreases. This relationship is important in understanding the kinetics of a chemical reaction and can be used to determine reaction orders and rate constants through experimental data analysis.
By deriving the integrated rate law, we can gain insights into the behavior of chemical reactions and make predictions about the concentration of reactants at different time points. This information is valuable in various fields, including chemical engineering, pharmaceuticals, and environmental science, as it allows for the optimization and control of chemical processes.
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III- Hallar el módulo del vector
a (2,6)
\(\sqrt{2^{2}+6^{2}}=\sqrt{4+36}=\sqrt{40}=\boxed{2\sqrt{10}}\)
Ana planted a garden with equal of roses daffodils and tulips. if she randomly selects a flower what is the probability that it is a lilly
Answer:
33.3%
Step-by-step explanation:
If all of them are equal out of 100%
that means Roses are 33.3 daffodils are 33.3 and lilly's are 33.3
in a blueprint, each square has a side length of 1/4 inch. a reduced drawing of a blueprint. the bedroom has 5 square along the length and 4 squares along the width. the bathroom has 4 squares along the length and 2 squares along the width. the living room has 7 squares along the length and 4 squares along the width. a. ceramic tile costs $5 per square foot. how much does it cost to tile the bathroom? it would cost $ to tile the bathroom. b. carpet costs $18 per square yard. how much does it cost to carpet the bedroom and living room? it would cost $ to carpet the bedroom and living room. skip to navigation
The total cost to put tile in bathroom and carpet in bedroom and living room as the calculated area is equal to $640 and $1535.94.
As given in the question ,
Scale measure of blue print = 1/4 inch
1 inch = 4 ft
Area wise = 4 × 4
= 16 square feet
Dimensions of bathroom are:
length = 4 squares
= 4 × 4
= 16ft
and width = 2squares
= 8ft
Area of bathroom = (16 × 8)
= 128 square feet
Cost of ceramic tile is $5 per square foot
Cost to put tiles in a bathroom = 128 × 5
= $640
Area of bedroom = ( 5×4) ×(4×4)
= 320 square foot
Area of living room = ( 7×4) ×(4×4)
= 448 square foot
Total area of (bedroom and living room) = 768 square feet
= 85.33 square yards
Cost of a carpet is $18 per square yard
Total cost to use carpet for bedroom and living room
= ( 85.33) × 18
= $1535.94
Therefore, the cost to tile a bathroom as per calculated area is $640 and similarly cost to put carpet in bedroom and living room is $1535.94.
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find values of m and n please!
Answer:
m=22
Step-by-step explanation:
Simplify u^4 (gu^2)^6 gWrite your answer with only positive exponents.
Explanation
some properties of the exponents are:
\(\begin{gathered} a^m_{}\cdot a^n=a^{m+n} \\ \frac{a^m_{}}{a^n}=a^{m-n} \\ (a^m)^n=a^{m\cdot n} \\ (ab)^m=(a^mb^m) \end{gathered}\)so
Step 1
simplify by following the rule of the properties
\(\begin{gathered} U^4(GU^2)^6G \\ U^4(G^{1\cdot6}U^{2\cdot6})G^1 \\ U^4G^6U^{12}G^1 \\ G^7U^{16} \end{gathered}\)therefore, the answer is
\(G^7U^{16}\)I hope this helps you
After Michael finished his workout, his heart rate decreased by 100 beats per minute. If it took 10 minutes, on average how many beats per minute did his heart rate decrease?
Answer:
10
Step-by-step explanation:
Answer:
does this mean 100 x 10
Step-by-step explanation:
well.....................
A water sample shows 0.029 grams of some trace element for every cubic centimeter of water. Parker uses a container in the shape of a right cylinder with a radius of 8 cm and a height of 11.6 cm to collect a second sample, filling the container all the way. Assuming the sample contains the same proportion of the trace element, approximately how much trace element has Parker collected? Round your answer to the nearest tenth.
Answer:
67.6 grams
Step-by-step explanation:
First, find the volume of the cylindrical container which should provide the volume of water in the sample
Volume, V, of a cylinder is given by the formula
\(V = \pi r^2h\)
where,
r = radius of the cylinder
h = height of the cylinder
Given r = 8 cm and h = 11.6 cm. the volume of the container used by Parker
V = π · 8² · 11.6
= 2332.31838 cubic centimeters
There are 0.029 grams of trace element for every cubic centimeter of water
Therefore the amount of trace element in 2332.31838 cc of water
= 2332.31838 x 0.029
= 67.63723302 grams'
Rounded to the nearest tenth that would be 67.6 grams
Answer:
Step-by-step explanation:
2332.31838 x 0.029
= 67.63723302 grams'
there the asnwer
SOMEBODY HELP ME OUT
Answer:8.00347847
Step-by-step explanation:
y= 8.00347847 i think, we use SIN, because we are given the opposite and hypotonuse. sin(61)=7/y which equals 8.00347847. Don't quote me on it though i havent done geometry in a while
what is the value of the expression (20-17)to the power of 3 divided by(9+1)to the power of 2
Answer:
0.27
Step-by-step explanation:
(20-17) power of 3 ÷ (9+1) power of 2
first in BIDMAS rule we do brackets so we add them
(3) power of 3 ÷ (10) power of 2
then we add the power
3×3×3 ÷ 10×10
27÷ 100
we move two decimal places so the answer is
0.27
solve by elimination - 4x- 8y=83x- 5y=16
Given the system of equations:
\(\begin{gathered} -4x-8y=8 \\ 3x-5y=16 \end{gathered}\)The solution of the system will be as follows:
\(\begin{gathered} -4x-8y=8\rightarrow\times3 \\ 3x-5y=16\rightarrow\times4 \\ ------------ \\ -12x-24y=24 \\ 12x-20y=64 \\ ------------ \\ (12x-12x)+(-24y-20y)=24+64 \\ \\ -44y=88 \\ \\ y=\frac{88}{-44}=-2 \end{gathered}\)Substitute with y into the first equation to find x:
\(\begin{gathered} -4x-2\cdot-8=8 \\ -4x+16=8 \\ -4x=8-16 \\ -4x=-8 \\ \\ x=\frac{-8}{-4}=2 \end{gathered}\)So, the solution of the system is:
\(\begin{gathered} x=2 \\ y=-2 \\ (x,y)=(2,-2) \end{gathered}\)Answer:
See below
Step-by-step explanation:
-4x -8y = 8
3x-5y = 16 <===== multiply this equation by 4/3 to get
4x - 20/3 y = 64/3 <=====add to first equation...this will eliminate 'x'
-8y - 20/3 y = 8 + 64/3 solve for y = -2
use this value of y in any of the equations to compute x
-4x - 8(-2) = 8
-4x = 8-16 shows x = 2
True or False: A function must have a different output for each input.
Answer:
True
Step-by-step explanation:
for every X there can be on Y
that doesn't necessarily go the other way around, but that's not what the problem is asking, so whatever.
cost of 3 pens is equal to that of 5 copies. what will be the cost for 25 copies if 9 pens and 7 copies cost Rs.264
Answer:
Rs. 300
Step-by-step explanation:
We'll call the cost of pens \(x\), and we'll call the cost of copies \(y\).
We can write the simultaneous equations:
\(\left \{ {{3x=5y} \atop {9x+7y=264}} \right.\)
We'll times \(3x=5y\) by 3 to get \(9x=15y\).
Then we'll substitue this into \(9x+7y=264\) to get
\(15y+7y=264\\22y=264\\y=12\)
So the cost of 25 copies will be
\(12*25\\=300\)(Rs)
Lilly describes a shape.
Lilly says, "The shape has four sides. It has two pairs of equal opposite sides. The opposite sides are parallel."
Robin says there are two possible shapes. Is she correct? Explain your answer.
Yes, there are two possible shapes that fit this description.
Lilly is describing a parallelogram, which is a quadrilateral with two pairs of parallel opposite sides.
A parallelogram has opposite sides that are congruent and parallel, and opposite angles that are congruent. Therefore, it has two pairs of equal opposite sides.
There are two types of parallelograms: a rectangle and a rhombus. A rectangle is a parallelogram with four right angles, while a rhombus is a parallelogram with four congruent sides.
Both shapes have two pairs of equal opposite sides and opposite sides that are parallel.
Therefore, Robin is correct that there are two possible shapes. Depending on whether all four angles are right angles or all four sides are congruent, the shape could be a rectangle or a rhombus. It is also possible for a shape to be both a rectangle and a rhombus, in which case it would be called a square.
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Byron wants to sell the shells and makr a profit of 125%. What is 125% written as a fraction in lowest terms
Answer:
5/4
Step-by-step explanation:
125/100
(divide through by 25)
5/4
Augusto nació en Roma el 23 de septiembre del año 63 a. C y fue el primer emperador romano que gobernó entre el año 27 a. C y 14 d. C considerándose como el emperador con el reinado más prolongado de la historia. Después de su muerte el 19 de agosto del año 14 d. C el senado romano lo inmortalizó glorificando su legado, por esta razón, varios de los emperadores que lo siguieron adoptaron sus nombres. ¿Cuántos años cumplidos vivió Augusto?
Answer:
Augusto vivió durante 75 años cumplidos, muriendo casi un mes antes de cumplir 76 años.
Step-by-step explanation:
Dado que Augusto nació en Roma el 23 de septiembre del año 63 a. C y fue el primer emperador romano que gobernó entre el año 27 a. C y 14 d. C considerándose como el emperador con el reinado más prolongado de la historia, y después de su muerte el 19 de agosto del año 14 d. C el senado romano lo inmortalizó glorificando su legado, por esta razón, varios de los emperadores que lo siguieron adoptaron sus nombres, para determinar cuántos años cumplidos vivió Augusto se debe realizar el siguiente cálculo:
Nacimiento: 23/09/63 AC
Primer año: 23/09/62 AC
Tercer año: 23/09/60 AC
Sesenta y dos años: 23/09/01 AC
Sesenta y tres años: 23/09/01 DC
Setenta y tres años: 23/09/11 DC
Setenta y cinco años: 23/09/13 DC
Así, Augusto vivió durante 75 años cumplidos, muriendo casi un mes antes de cumplir 76 años.
2. Express as a unit rate.
a) Betty drives her car 150 km in 2 h.
150 km/2 =
Answer:
75 km per hour.Step-by-step explanation:
150km/2hr divided by two is 75 km/hr
Please I need help asap An expalanation would be great
Answer:
x = 4
Step-by-step explanation:
DB is an angle bisector and divides the opposite side into segments that are proportional to the other 2 sides , that is
\(\frac{x}{6}\) = \(\frac{2}{3}\) ( cross- multiply )
3x = 12 ( divide both sides by 3 )
x = 4
Helpppp it’s for a project A seller of hamburgers offers each one to a price of $40. How many burgers must the seller sell so he obtains an income of $5,000?
Answer:
he needs to sell 125 burgers
Step-by-step explanation:
5000/40= 125
The seller must sell 125 hamburgers to earn an income of $5000.
What is an equation?Two or more expressions with an equal sign are defined as an equation.
Given that, the price of a hamburger is $40.
Let the seller sells x hamburgers to earn $5000, therefore, it follows:
40x = 5000
x = 5000/40
x = 125
Hence, the seller must sell 125 hamburgers to earn an income of $5000.
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help dont understand like its confusing one minute u add then substract like...
Answer:
53 degrees
Step-by-step explanation:
< will be angle UwU (using pc)
m<JKM = 151 degrees is the total angle combining m<1 and M<2
therefore, we subtract m<2 from m<JKM to find m<1
Here is the equation:
m<JKM = m<1 + m<2
151 = m<1 + 98 (substitute)
53 = m<1 (simplify the like term so we subtracted 98 on both sides)
hope this helps!
What is the difference? StartFraction x + 5 Over x + 2 EndFraction minus StartFraction x + 1 Over x squared + 2 x EndFraction StartFraction x squared + 4 x minus 1 Over x (x + 2) EndFraction StartFraction x squared + 4 x + 1 Over x (x + 2) EndFraction StartFraction 4 Over negative 1 (x squared + x minus 2) EndFraction StartFraction x squared + 6 x + 1 Over x (x + 2) EndFraction
To simplify the expression, we need to find a common denominator for all the fractions.
StartFraction x + 5 Over x + 2 EndFraction minus StartFraction x + 1 Over x squared + 2 x EndFraction
= (x + 5)/(x + 2) - (x + 1)/(x(x + 2))
Next, we can combine the two fractions by finding a common denominator.
= [(x + 5)x - (x + 1)]/(x(x + 2))
= (x^2 + 4x - 1)/(x(x + 2))
StartFraction x squared + 4 x minus 1 Over x (x + 2) EndFraction StartFraction x squared + 4 x + 1 Over x (x + 2) EndFraction
We can combine these two fractions by adding the numerators and keeping the same denominator.
= (x^2 + 4x - 1)/(x(x + 2)) + (x^2 + 4x + 1)/(x(x + 2))
= (2x^2 + 8x)/(x(x + 2))
StartFraction 4 Over negative 1 (x squared + x minus 2) EndFraction
= -4/(x^2 + x - 2)
StartFraction x squared + 6 x + 1 Over x (x + 2) EndFraction
We can use partial fraction decomposition to split this fraction into simpler ones.
= (x + 3)/(x + 2) + (x + 1)/x
Now we can simplify each fraction separately.
= (x^2 + 5x + 6)/(x(x + 2)) + 1 + 1/x
= (x^2 + 5x + 6)/(x(x + 2)) + (x + 2)/(x(x + 2))
= (x^2 + 6x + 8)/(x(x + 2))
Now we can simplify the entire expression by combining all the fractions and finding a common denominator.
= (x^2 + 4x - 1)/(x(x + 2)) - 4/(x^2 + x - 2) + (x^2 + 6x + 8)/(x(x + 2))
= [((x^2 + 4x - 1) * (x^2 + x - 2)) - (4 * x(x + 2)) + ((x^2 + 6x + 8) * x)]/[x(x + 2)(x^2 + x - 2)]
= (x^4 + 6x^3 + 4x^2 - 7x - 8)/(x(x + 2)(x^2 + x - 2))
Therefore, the difference between the expressions is (x^4 + 6x^3 + 4x^2 - 7x - 8)/(x(x + 2)(x^2 + x - 2)).
Kylie spent $13.80 to buy 30 popsicles for her classmates. How much did each popsicle
cost?
Answer:
0.46
Step-by-step explanation:
13.80/0.46
just divide
A cell phone company sells about 500 phones each week when it charges $75 per phone. It sells about 20 more phones per week for each$1 decrease in price. The company's revenue is the product of the number of phones sold and the price of each phone. What price should the company charge to maximize its revenue?
The company can maximize its revenue by charging the price of $73 per phone.
Changing the price and monitoring how many phones are sold in reaction to the price change allows for trial-and-error in determining accuracy.
With 520 phones sold each week at $73, the corporation will make a total of $38,160 in revenue. There are 20 more phones than when it was charging $75, thus the business will make an additional $1,500 every week.
Due to the increased number of phones sold, the corporation may increase revenue by merely $2 by lowering the price, leading to an increase in both total revenue and profit.
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Giving right answer branleist
Answer: y= -3/5x+2.8
An isosceles trapezoid has a perimeter of 25.9 inches. Its shorter base measures 1.7 inches and its longer base measures 2.8 inches. The two remaining sides have the same length; what is that length?
Answer:
10.7 in.
Step-by-step explanation:
perimeter = base1 + base2 + side1 + side2
side1 = side2 = side
side1 + side2 = 2 * side
25.9 in. = 1.7 in. + 2.8 in. + 2 * side
2 * side = 21.4 in.
side = 10.7 in.