Answer:
y + 11 = 14
Step-by-step explanation:
Answer:
The equation is y + 11 = 14
The answer to that equation is 3
Step-by-step explanation:
y + 11 = 14
-11 -11
y = 3
is 6km is not as far as 6 miles true or false
Answer:
False.
6 miles is farther than 6 kilometers. One mile is equal to 1.60934 kilometers, so 6 miles is equal to 6 x 1.60934 = 9.65604 kilometers. Therefore, 6 miles is farther than 6 kilometers.
Step-by-step explanation:
The answer is:
trueWork/explanation:
We can't really compare two things if they have different units.
So we need to convert kilometers to miles first.
1 km is approximately equal to 0.621 miles.
So 6 km would be approximately 3.728 miles.
6 miles is further away than 3.728 miles.
Hence, the answer is true.6 km is not as far as 6 miles. And now we know why.
Let u - 4x? - 1. Find du. (4-1) du - Indicate how the limits of integration should be adjusted in order to perform the integration with respect to u. (Enter your answer using interval notation.) [0, 1] - Evaluate the definite integral. 01 Need Help? Read to a Tutor Consider the following. Let u = x + 1. Find du. du- Indicate how the limits of integration should be adjusted in order to perform the integration with respect to L. (Enter your answer using interval notation, [0, 2] - Evaluate the definite integral.
The value of du becomes 4 by integration.
According to the statement
we have given a two statement which are u - 4x and u = x + 1.
And we have to find the value of du by the use of integration.
An Integral assigns numbers to functions in a way that describes the data.
So,
From u - 4x
here du becomes by derivative
du - 4dx/du
du = 4dx/du. -(1)
And in u = x + 1.
here du becomes
du = dx/du -(2)
by comparing both terms from equation (1) and (2) we get the value of du
du = 4.
the value of du is 4.
So, The value of du becomes 4 by integration.
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find an equation of a line that is perpendicular to 5x-y=1 and is located such that the area of the triangle formed by this line and the x- and y-axes is equal to 5
possible equations of the line are
an equation of a line that is perpendicular to 5x-y=1 is y = -x/5 ± √2.
What is a linear function?
A linear function is modeled by:
y = mx + b
In which:
• m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
• b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
Here, the equation of line given is5x-y = 1 first calculating its slope m₁ by comparing it with slope- intercept form of line i.e. y = mx+c
Therefore, the slope of the given line m₁ is -2.
Now the slope m₂ of the line perpendicular to the given line is calculated using relation :
m₁m₂ = -1
m₂ = -1/m₁
m₂ = -1/5
Let the equation of the required line be
y = mx + c where m is slope
y = -x/5 + c
Area of the triangle formed by a line with intercepts a,b = 1/2(ab)
Here, x-intercept = 5c
y-intercept = c
Area of triangle = 1/2(ab)
= 1/2(5c)(c)
= 5c²/2
Given area = 5
5c²/2 = 5
c² = 2
c = ±√2
Hence, The equation of a line is y = -x/5 ± √2.
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Show that {(x, y) | x − y ∈ Q} is an equivalence relation on the set of real numbers, where Q denotes the set of rational numbers. What are [1], [1/2], and [π]?
In summary the equivalence relation on the set of real numbers is:
- [1] = {x ∈ R | x = 1 + q, q ∈ Q}
- [1/2] = {x ∈ R | x = 1/2 + q, q ∈ Q}
- [π] = {x ∈ R | x = π + q, q ∈ Q}
What are real numbers?The union of both rational and irrational numbers is known as a real number. They are represented by the letter "R" and can be either positive or negative.
To show that the relation {(x, y) | x − y ∈ Q} is an equivalence relation on the set of real numbers, we need to verify three properties: reflexivity, symmetry, and transitivity.
1. Reflexivity: For any real number x, we have x - x = 0, which is a rational number (0 ∈ Q). Therefore, (x, x) ∈ {(x, y) | x − y ∈ Q} for all x, and the relation is reflexive.
2. Symmetry: If (x, y) ∈ {(x, y) | x − y ∈ Q}, then x - y is a rational number. Since the negation of a rational number is still a rational number, -(x - y) = y - x is also a rational number. Therefore, (y, x) ∈ {(x, y) | x − y ∈ Q}, and the relation is symmetric.
3. Transitivity: If (x, y) ∈ {(x, y) | x − y ∈ Q} and (y, z) ∈ {(x, y) | x − y ∈ Q}, then x - y and y - z are both rational numbers. The sum of two rational numbers is also a rational number, so (x - y) + (y - z) = x - z is a rational number. Therefore, (x, z) ∈ {(x, y) | x − y ∈ Q}, and the relation is transitive.
Since the relation satisfies all three properties (reflexivity, symmetry, and transitivity), it is an equivalence relation on the set of real numbers.
Now, let's determine the equivalence classes [1], [1/2], and [π].
The equivalence class [1] consists of all real numbers x such that x - 1 ∈ Q. In other words, [1] = {x ∈ R | x - 1 ∈ Q}. This means that any real number x in the form x = 1 + q, where q is a rational number, belongs to [1].
Similarly, the equivalence class [1/2] consists of all real numbers x such that x - 1/2 ∈ Q. Therefore, [1/2] = {x ∈ R | x - 1/2 ∈ Q}, which means that any real number x in the form x = 1/2 + q, where q is a rational number, belongs to [1/2].
Finally, the equivalence class [π] consists of all real numbers x such that x - π ∈ Q. Thus, [π] = {x ∈ R | x - π ∈ Q}. This means that any real number x in the form x = π + q, where q is a rational number, belongs to [π].
In summary:
- [1] = {x ∈ R | x = 1 + q, q ∈ Q}
- [1/2] = {x ∈ R | x = 1/2 + q, q ∈ Q}
- [π] = {x ∈ R | x = π + q, q ∈ Q}
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PLEASE HELP URGENTLY I WILL MARK BRAINLIEST!!
Answer:
-99
Step-by-step explanation:
An integer is a whole number...no fractions, no decimals.
two methods are used to predict how many customers will call in for help in the next four days. the first method predicts the numbers of callers to be 23, 5, 14, and 20 for the four respective days. the second method predicts 20, 13, 14, and 20 for the four respective days. the actual numbers of callers turn out to be 23, 10, 15, and 19. which method has the smaller mean absolute error (mae)?
Note that the first method has the smaller Mean Absolute Error (MAE) which is 1.75
What is Mean Absolute Error?The mean absolute error (MAE) is defined as the average variance between the significant values in the dataset and the projected values in the same dataset.
The steps to finding the MAE in eah case is
For the 1st method
Absolute error (AE) for day 1 = |23 - 23| = 0
AE for day 2 = |5 - 10| = 5
AE for day 3 = |14 - 15| = 1
AE for day 4 = |20 - 19| = 1
so MAE = (0 + 5 + 1 + 1) / 4 = 1.75
For the 2nd system,
Absolute error (AE) 1 = |20 - 23| = 3
AE for day 2 = |13 - 10| = 3
AE for day 3 = |14 - 15| = 1
AE for day 4 = |20 - 19| = 1
So the MAE = (3 + 3 + 1 + 1) / 4 = 2
We can conclude, hence, that t the first method has the smaller MAE of 1.75.
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Edia question from algebra 2!! Help please
Answer:
4
Step-by-step explanation:
m = –4
(2, –4)
x1 = 2,y1 = –4
using the one point form formula
y – y1 = m( x – x1)
y – (–4) = –4(x –2)
y + 4 = –4x + 8
y = –4x + 8 – 4
y = –4x + 4
y intercept(b) = 4
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Simplify m^9 m^−3.
A. -m^12
B. 1 / m^27
C. 1 / m^6
D. m^6
I will use the law of exponent below
⇒if you re multiplying powers of them same base, keep one base and add the exponents mathematically we say:
\(x^{n} *x^{n} \\=x^{n+n}\)
\(=m^{9+(-3)} \\=m^{9-3} \\=m^{6}\)
OPTION D is the solution
Select the correct answer. The number of tomatoes sold weekly by a grocery store follows a normal distribution with a mean of 455 and a standard deviation of 65. Which sentence summarizes this information
The grocery store has an 84 percent chance of selling more than 390 tomatoes in a week.
The following formula can be used to compute the Z score:
Where,
Putting the values,
From the z score table, we get P(a j - 1) = 0.1586 = 15.86% = 16%
From the z score table, we get
Where X is the raw score, M is the sample mean, and S is the standard deviation.
Putting the figures together,
We get the following from the z score table:
According to the table, the likelihood less than the point is 390 with a z score of -1, and the probability larger than the point is 390 with a z score of -1. is, 100-16=84%
Hence In a week, the supermarket has an 84 percent probability of selling more than 390 tomatoes.
Standard deviation is a statistic that calculates the square root of variance and measures the variance of a data set about its mean. By calculating the deviation from the mean for each data point, the standard deviation is calculated as the square root of the variance.
A normal distribution with a mean of 455 and a standard deviation of 65 represents his weekly amount of tomatoes sold at the grocery store.
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find the value of x.
Answer:
Step-by-step explanation:
1B
Question 1
Find the value of x.
2x
(3x + 25)
X
Answer:
2x+3x+25=180
5x =155
X=31
A principal wishes to implement a decision that has to be a number between 0 and 1; that is, a decision d needs to be implemented where 0 sdS1. The difficulty for the principal is that she does not know what decision is appropriate given the current state of the economy, but she would like to implement a decision that exactly equals what is required given the state of the economy. In other words, if the economy is in state s (where 0 sS 1) the principal would like to implement a decision d s as the principal's utility Up (or loss from the maximum possible profit) is given by Up--s-d With such a utility function, maximising utility really means making the loss as small as possible. For simplicity, the two possible levels of s are 0.4 and 0.7, and each occurs with probability 0.5 There are two division managers A and B who each have their own biases. Manager A always wants a decision of 0.4 to be implemented, and incurs a disutility Ua that is increasing the further from 0.4 the decision d that is actually implement, specifically U-0.4-d.Similarly, Manager B always wants a decision of 0.7 to be implement, and incurs a disutility UB that is (linearly) increasing in the distance between 0.7 and the actually decision that is implemented - that is Ug--10.7 Each manager is completely informed, so that each of them knows exactly what the state of the economy s is (a) The principal can opt to centralise the decision but before making her decision given she does not know what the state of the economy is - she asks for recomm endation s from her two division mana gers. Centralisation means that the principal commits to implement a decision that is the average of the two recommendations she received from her managers. The recommendations are sent simultaneously and cannot be less than 0 or greater than 1 Assume that the state of the economy s = 0.7. What is the report (or recommendation) that Manager A will send if Manager B always truthfully reports s? (b) Again the principal is going to centralise the decision and will ask for a recommendation from both managers, as in the previous question. Now, however assume that both managers strategically make their recommendations. What are the recommendations rA and rB made by the Managers A and B, respectively, in a Nash equilibriunm
A. Manager A wants the decision to be 0.4, so they would recommend a decision of 0.4 to the principal.
B. The recommendations in the Nash equilibrium would be rA = 0.4 and rB = 0.7.
(a) If Manager B always truthfully reports the state of the economy (s = 0.7), Manager A would send a recommendation that minimizes their disutility Ua. In this case, Manager A wants the decision to be 0.4, so they would recommend a decision of 0.4 to the principal.
(b) In a Nash equilibrium, both managers strategically make their recommendations based on their own utility. Manager A wants to minimize their disutility Ua, which increases as the decision deviates from 0.4. Manager B wants to minimize their disutility UB, which increases as the decision deviates from 0.7.
To find the Nash equilibrium, we need to consider the recommendations made by both managers simultaneously. Let's denote the recommendations as rA (from Manager A) and rB (from Manager B). The principal's decision, d, would be the average of the recommendations, so d = (rA + rB) / 2.
Given that both managers strategically choose their recommendations, they will aim to minimize their disutility. In this case, Manager A would recommend a decision of 0.4 (as it minimizes Ua), and Manager B would recommend a decision of 0.7 (as it minimizes UB). Therefore, the recommendations in the Nash equilibrium would be rA = 0.4 and rB = 0.7.
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Consider the following cost function (C): C=0.3q
3
−4q
2
+80q+F The equation for average cost (AC) is: AC=
q
0.3q
3
−4q
2
+80q+F
. (Properly format your expression using the tools in the palette. Hover over tools to see keyboard shortcuts. E.g., a superscript can be created with the
∧
character.) The equation for variable cost (VC) is: VC=0.3q
3
−4q
2
+80q. (Properly format your expression using the tools in the palette.) The equation for marginal cost (MC) is: MC = (Properly format your expression using the tools in the palette.)
The cost function C is given by\(C = 0.3q^3 - 4q^2 + 80q + F\), where q represents the quantity produced and F represents a fixed cost. The average cost (AC) equation is\(AC = (0.3q^3 - 4q^2 + 80q + F) / q\), and the variable cost (VC) equation is \(VC = 0.3q^3 - 4q^2 + 80q\)
The cost function C represents the total cost of production, which includes both variable costs (costs that change with the level of production) and fixed costs (costs that remain constant regardless of the level of production). In this case, the cost function is a polynomial equation of degree 3.
To calculate the average cost (AC) ,we divide the total cost (C) by the quantity (q) produced. This gives us the average cost per unit of output.
The variable cost (VC) represents the cost associated with producing each unit of output and is obtained by excluding the fixed cost component from the total cost function.
The marginal cost (MC) represents the additional cost incurred by producing one additional unit of output. It is calculated by taking the derivative of the variable cost equation with respect to the quantity (q).
By understanding these equations, we can analyze and make decisions regarding production levels, pricing, and cost optimization in the given scenario.
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Explain and solve it
Check the picture below.
The quotient of w and six is eight. What is the value of w?
A.) 1.3
B.) 2
C.) 14
D.) 48
Answer:
B.) 2. 8-6=2 thanks for watching
Matt went out to lunch yesterday. His meal cost $14.98. He wants to leave a 15% tip for his
server. How much did Mett spend in total?
Answer:
$17.227 -> $17.23
Step-by-step explanation:
$14.98 × 0.15 = $2.247
$14.98 + $2.247 = $17.227
3). A cylindrical tank, 5 m in diameter, discharges through a horizontal mild steel pipe 100 m long and 225 mm in diameter connected to the base. Find the time taken for the water level in the tank to drop from 3 to 0.5 m above the bottom.
The time taken for the water level in the tank to drop from 3 to 0.5 meters above the bottom cannot be determined without additional information.
To calculate the time taken, we need to know the flow rate or discharge rate of the water from the tank. This information is not provided in the question. The time taken to drain the tank depends on factors such as the diameter of the outlet pipe, the pressure difference, and any restrictions or obstructions in the flow path.
If we assume a known discharge rate, we can use the principles of fluid mechanics to calculate the time. The volume of water that needs to be drained is the difference in the volume of water between 3 meters and 0.5 meters above the bottom of the tank. The flow rate can be determined using the pipe diameter and other relevant factors. Dividing the volume by the flow rate will give us the time taken.
However, since the discharge rate is not given, we cannot perform the calculation and determine the time taken accurately.
Without knowing the discharge rate or additional information about the flow characteristics, it is not possible to calculate the time taken for the water level in the tank to drop from 3 to 0.5 meters above the bottom.
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expert or ace help plsss
Answer:
Step-by-step explanation
c.
What is the length of Hypotenuse?
A. \( \sf \sqrt{40\: ft} \)
B. \( \sf\sqrt{96\: ft} \)
C. \( \sf\sqrt{208\: ft} \)
D. \(\sf 20 \: ft\)
E. \(\sf 48 \: ft\)
____________________Solution :-Given Information :- Base of Triangle = 12 ftBase² = 12² = 144 ftAltitude of Triangle = 8 ftAltitude² = 8² = 64 ftTo Find :- Hypotenuse of Triangle Formula Used :- Pythagoras Theorem ↓Hypotenuse² = Base² + Altitude²Calculation :-Here, we will substitute the given values in the formula,
⇒ Hypotenuse² = ( 144 + 64 ) ft
⇒ Hypotenuse² = 208 ft
Now transposing the square to Right Hand Side, We get,
⇒ Hypotenuse = \( \sf \sqrt{208} \: ft\)
∴ Hypotenuse = \( \sf \sqrt{208} \: ft\)
____________________Final Answer :-The Hypotenuse of Right Triangle is \( \sf \sqrt{208} \: ft\)
Hence, Option C. \( \bf \sqrt{208} \: ft\) is correct answer.
____________________Factor completely 3x − 12.
a Prime
b 3x(−12)
c 3(x − 4)
d 3(x + 4)
There are no more common factors or like terms that can be further simplified, the expression 3x - 12 is already in its completely factored form.
Therefore, the answer is:c) 3(x - 4)
To factor completely the expression 3x - 12, we can first look for a common factor among the terms. In this case, both 3x and 12 have a common factor of 3.
We can factor out the common factor of 3 from both terms:
3x - 12 = 3(x) - 3(4)
Now, we can simplify the expression:
3x - 12 = 3x - 12
Since there are no more common factors or like terms that can be further simplified, the expression 3x - 12 is already in its completely factored form.
Therefore, the answer is:c) 3(x - 4).
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Which numbers complete the blanks
when solving the equation cos(x + 2 mt)
2 over the interval [0, 2 ml?
2
V2
cos Xp -_____-SinX:......=--
2
© 1, (
© 0;:
-1: 0
0; -1
the numbers that complete the blanks when solving the equation are π/4, 3π/4, and 7π/4.
It appears that your question is related to solving the equation cos(x + 2πm) = 1/√2 over the interval [0, 2π]. To find the values of x that complete the blanks, we need to find the general solution of this trigonometric equation
The general solution can be written as:
x + 2πm = nπ ± arccos(1/√2)
We are looking for solutions in the interval [0, 2π], so we need to consider the cases where m = 0.
For m = 0, we have:
x = nπ ± arccos(1/√2)
Now, let's find the values of x in the given interval. The arccos(1/√2) is equal to π/4. So, we have:
x = nπ ± π/4
For n = 0, we get x = ±π/4. Since we are only considering positive solutions, x = π/4 is valid.
For n = 1, we get x = π ± π/4. This gives us x = 3π/4 and 7π/4, both of which are in the given interval
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A round cookie cake, divided into 8 equal pieces, has a diameter of 16 inches. Marty eats one piece of cake. What is the area of the piece of cake that marty eats? leave your answer in terms of pi.
The area of the piece of cake that Marty eats is: 64π square inches * (1/8) = 8π square inches. the area of the piece of cake that Marty eats is 8π square inches.
To find the area of the piece of cake that Marty eats, we first need to calculate the area of the entire round cookie cake.
The formula for the area of a circle is A = πr^2, where A is the area and r is the radius of the circle.
Given that the diameter of the cake is 16 inches, the radius (r) is half the diameter, which is 16/2 = 8 inches.
So, the area of the entire round cookie cake is:
A = π(8)^2 = 64π square inches.
Since the cake is divided into 8 equal pieces, each piece represents 1/8th of the total area.
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What is the equation of the line in slope-intercept form?
Answer:
5/2; 5
Step-by-step explanation:
The first box is m, which is the slope. To find the slope you do rise over run, so basically the change in x and y. You move up 5 and over 2, so m would be 5/2.
The second box is b, which is the y-intercept. To find the y-intercept, you just find where the line crosses the y-axis. That would be 5
\( 8 d \) transformation is be applied to Select one: a. disjoint b. overlap
Transformation doesn't depend on the shape of the figure if it has an overlap or not
The transformation \(8d\) can be applied to a figure with overlap or not with overlap.
Transformations are operations on a plane that change the position, shape, and size of geometric figures.
When a geometric figure is transformed,
its new image has the same shape as the original figure.
However,
it is in a new position and may have a different size.
Let's talk about different types of transformations.
Rotation:
It occurs when a shape is turned around a point, which is the rotation center.
Translation:
It moves the shape from one point to another on a plane.
Reflection:
It is an operation that results in the mirror image of the original shape.
Scaling:
The shape is transformed by changing the size without changing its orientation.
Transformation on \(8d\):
In the given problem, the transformation of \(8d\) can be applied to the figure with or without overlap.
This means that \(8d\) transformation doesn't depend on the shape of the figure if it has an overlap or not.
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$5,200 at 3% for 7 yearswhat is the simple interest?what is the total amount? hey mr or ms we need your help:)
simple interest = $1092
Total amount = $6292
Explanation:Principal = $5200
rate = 3% = 0.03
time = 7 years
Applying simple interest formula:
\(\begin{gathered} I\text{ = PRT} \\ \text{where I = interest} \\ I\text{ = P}\times R\times T \end{gathered}\)I = 5200 × 0.03 ×7
I = $1092
simple interest = $1092
We are to find total amount after getting the interest:
Amount = principal + interest
Amount = $5200 + $1092
Amount = $6292
A department store buys a 100 shirts at the cost of $2,700 and sells them at a selling price of $30 each find the percent mark up
Step-by-step explanation:
solution
given
the cost of 100 shirts = $2700
sp = $30
the cost of 1 shirt in $2700 = 100/$2700 =per piece $27
then it is profit
again
let cp be x
profit percent= profit ÷ cp × 100%
profit percent= 3÷x× 100 = 300÷ x
x = 300
cp = x=300
Answer:
The percent markup is 11% and that is your answer
Step-by-step explanation:
your welcome
What is 4,583.269 Rounded to the nearest hundredth?
a) 4,583.26
b) 4,583.27
c) 4,583.7
d) 4,600
Explanation:
The hundredths place is the second digit to the right of the decimal point.
In the original number, the '6' is in the hundredths place.
The digit just to the right of that is 9, which is 5 or greater. This means the 26 bumps up to 27
So overall we go from 4,583.269 to 4,583.27
ABCD is a trapezium with AB parallel to DC.
DC= 15 cm and AB= x cm
The perpendicular distance between AB and DC is 3 cm less than the length of AB. The area of ABCD is 75 cm square.
i) show that x2 + 12x - 195= 0
Answer:
Step-by-step explanation:a or b ?
2-simplifica
1)x²-5x-16
x+2=
2)6an²-3b²n²
b4-4ab²+4a²=
3)4x²-4xy+y²
5y-10x
4)n+1-n³-n²
n³-n-2n²+2=
5)17x³y4z6
34x7y8z10=
6)12a²b³
60a³b5x6=
1. x² - 5x - 16 can be written as (x - 8)(x + 2).
2. 6an² - 3b²n² = n²(6a - 3b²).
3. This expression represents a perfect square trinomial, which can be factored as (2x - y)².
4. Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).
5. 17x³y⁴z⁶ = (x²y²z³)².
6. 12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.
Let's simplify the given expressions:
Simplifying x² - 5x - 16:
To factorize this quadratic expression, we look for two numbers whose product is equal to -16 and whose sum is equal to -5. The numbers are -8 and 2.
Therefore, x² - 5x - 16 can be written as (x - 8)(x + 2).
Simplifying 6an² - 3b²n²:
To simplify this expression, we can factor out the common term n² from both terms:
6an² - 3b²n² = n²(6a - 3b²).
Simplifying 4x² - 4xy + y²:
This expression represents a perfect square trinomial, which can be factored as (2x - y)².
Simplifying n + 1 - n³ - n²:
Rearranging the terms, we have -n³ - n² + n + 1.
Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).
Simplifying 17x³y⁴z⁶:
To simplify this expression, we can divide each exponent by 2 to simplify it as much as possible:
17x³y⁴z⁶ = (x²y²z³)².
Simplifying 12a²b³:
To simplify this expression, we can multiply the exponents of a and b with the given expression:
12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.
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Solve 5x-9=3x+11.
Plss
Answer: x = 10
Step-by-step explanation:
Given expression
5x - 9 = 3x + 11
Add 9 on both sides
5x - 9 + 9 = 3x + 11 + 9
5x = 3x + 20
Subtract 3x on both sides
5x - 3x = 3x + 20 - 3x
2x = 20
Divide 2 on both sides
2x / 2 = 20 / 2
\(\boxed{x=10}\)
Hope this helps!! :)
Please let me know if you have any questions
Please help me! I need this answer ASAP! I don’t understand how to do it