The equivalent expression is x raised to the eighth power over quantity 9 times y raised to the tenth power end quantity. Option A
What are index forms?
The index form of a number can be defined as the number written as an exponential expression.
It is expressed as a single number raised to another number.
Index forms are also called standard forms or scientific notations.
Index notation is also a way of representing variables or constants multiplied by themselves a number of times.
What are equivalent expressions?
Equivalent expressions are expression having same solution but different arrangement of variables.
Given the expression;
(3x^−4y5)^−2
Multiply the exponents
x^8/ 9y10^
Thus, the equivalent expression is x raised to the eighth power over quantity 9 times y raised to the tenth power end quantity.
hence ,Option A
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You walked 10 km west and then ran 10 km north. During each part of the journey, the _______ the same
You walked 10 km west and then ran 10 km north. During each part of the journey, the distance is the same.
An example journey is a journey through the Sahara Desert. Movement from one place to another, especially over a considerable distance. trip. Specific travel duration is considered a unit. Discreet travel, travel. See also, Journey.
“Life is a journey, about growing, changing, coming to terms with who you are, and loving yourself for who you are.” - Kelly McGillis, actor. “The benefits of a completed journey cannot be measured in the perfect moment, but in terms of how that journey affects and changes our personalities.”
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for a repeated measures anova, given n = 78 k = 7 ssb = 8 ssw = 8 sserror = 71 what is the value of the mean squares error term (mserror)?
For a repeated measures ANOVA for n = 78, k = 7, SSb = 8, SSw = 8, SSerror = 71 , the value of Mean Square Error Term is 1 .
The Mean Squares Error Term (MSerror) is calculated by dividing the sum of squares error (SSerror) by the degrees of freedom for error (dfe), which is equal to (n - k). So , we have:
⇒ MSerror = (SSerror)/(dfe) ,
For n = 78 and k = 7 ,
We get ,
The degree of freedom for error (dfe) = 78 - 7 = 71 ,
So , MSerror = (SSerror)/(dfe) ,
⇒ MSerror = 71/(78 - 7) ,
⇒ MSerror = 71/71 ,
⇒ MSerror = 1
Therefore, the value of MSerror is equal to 1.
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The given question is incomplete , the complete question is
For a repeated measures ANOVA, given n = 78, k = 7, SSb = 8, SSw = 8, SSerror = 71 . What is the value of the mean squares error term (MSerror)?
Complete the triangle. Find all missing sides and angles. Round to the nearest tenth. Triangle DEF; DE=23 and FE=25
DF=?
Angle F=?
Angle E=?
help pls!!
Answer:
DF= 9.8
Angle F= 42.6 degrees
Angle E= 23.1 degrees
Step-by-step explanation:
so for the sides we can use the pythagorean theorem
23^2+b^2=25^2
23 squared is 529 and
25 squared is 625
529+b^2=625
subtract 529 from both sides
b^2=96
the square root of 96 is ~9.8
b=9.8
To find the angles you use sin, cos, or tan. Now that we know all three sides it doesn't matter which one you use so... pick your favorite.
sinf=23/25
f= ~66.9 degrees
tane= 23/25
e= ~23.1
The table shows values for functions f(x) and g(x). X f(x)=4x 1 g(x)=3x 1−4 −3 −11 −359 −2 −7 −113 −1 −3 −3 0 1 −1 1 5 5 2 9 23 3 13 77 What is the solution to f(x)=g(x) ? Select each correct answer. −3 −2 −1 0 1 2 3.
f(x) = g(x) at 0 and 1.
FunctionThe function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
Given
x f(x) = \(\rm 3^x\) g(x) = 2x + 1
-2 \(\frac{1}{9}\) -3
-1 \(\frac{1}{3}\) -1
0 1 1
1 3 3
2 9 5
To findThe solution to f(x)=g(x).
How to find the solution to f(x)=g(x) ?It is clear that at x = 0 and 1, f(x) = g(x).
Thus, f(x) = g(x) at 0 and 1.
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Given the supply of a commodity, x, and the price of a commodity, y, would you expect a positive correlation, a negative correlation, or no correlation?
A. no correlation
B. positive correlation
C. negative correlation **
The expected correlation between the supply of a commodity (x) and the price of a commodity (y) depends on the nature of the commodity and market dynamics. However, in general, we would expect a **negative correlation** between the supply of a commodity and its price. Correct option is C.
The law of supply states that as the supply of a commodity increases, assuming demand remains constant, the price tends to decrease. This is because an increase in supply leads to a higher quantity of the commodity available in the market, potentially causing an excess supply or surplus. In such situations, suppliers may lower prices to attract buyers and reduce their inventory.
Conversely, when the supply of a commodity decreases, assuming demand remains constant, the price tends to increase. A decrease in supply results in a lower quantity available in the market, potentially leading to a scarcity or shortage. In such scenarios, suppliers may increase prices to maximize their profits due to the limited availability of the commodity.
It's important to note that real-world markets can be influenced by various factors, including changes in demand, production costs, technological advancements, government policies, and market competition, which can complicate the relationship between supply and price. Nonetheless, the general expectation is that a decrease in supply tends to lead to an increase in price, and an increase in supply tends to lead to a decrease in price, indicating a negative correlation.
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For the function f(x) = – 4 cos(x) – 2x, identify all intervals of increase and decrease on [0, 27). Express your answers exactly in interval notation. Separate your answers by commas when necessary The function is increasing on: The function is decreasing on:
The function is increasing on the interval (pi/6, 5pi/6), and it is decreasing on the intervals:
[0, pi/6) and (5pi/6, 27).
In interval notation, we can write:
The function is increasing on (pi/6, 5pi/6).
The function is decreasing on [0, pi/6) and (5pi/6, 27).
To find the intervals of increase and decrease for the function f(x) = -4cos(x) - 2x on [0, 2π), we first need to find its derivative.
Step 1: Find the derivative of f(x).
f'(x) = derivative of (-4cos(x) - 2x)
f'(x) = 4sin(x) - 2
Step 2: Identify critical points by setting the derivative equal to zero.
4sin(x) - 2 = 0
Step 3: Solve for x.
sin(x) = 1/2
x = π/6, 5π/6 (since these values are within the interval [0, 2π))
Step 4: Determine intervals of increase and decrease.
We will now test intervals around the critical points to determine where the function is increasing and decreasing.
Test interval 1: (0, π/6)
f'(π/12) = 4sin(π/12) - 2 > 0
Therefore, f(x) is increasing on (0, π/6).
Test interval 2: (π/6, 5π/6)
f'(π/2) = 4sin(π/2) - 2 < 0
Therefore, f(x) is decreasing on (π/6, 5π/6).
Test interval 3: (5π/6, 2π)
f'(3π/2) = 4sin(3π/2) - 2 > 0
To determine the intervals of increase and decrease, we need to test the sign of f'(x) in each sub-interval.
In the interval [0, pi/6), f'(x) is negative since sin(x) is less than 1/2. Therefore, f(x) is decreasing on this interval.
In the interval (pi/6, 5pi/6), f'(x) is positive since sin(x) is greater than 1/2. Therefore, f(x) is increasing on this interval.
In the interval (5pi/6, 27), f'(x) is negative again since sin(x) is less than 1/2. Therefore, f(x) is decreasing on this interval.
Therefore, the function is increasing on the interval (pi/6, 5pi/6), and it is decreasing on the intervals [0, pi/6) and
(5pi/6, 27).
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I NEED THIS RN AS FAST AS POSSIBLE! Your teacher decides to split the class into four equal groups with no more than five students in each group. that represents the number of students in the class.
-3|9x-7|=2 Find the answer for x
given the system y=-1/2x-1 and -1/4x+y+4=0 write the solution to the system on the space provided below as an ordered pair
The solution to the system of equations as an ordered pair is (4, -3).
We are given a system of linear equations in two variables. The first equation is y = (-1/2)x-1. The second equation is (-1/4)x+y+4 = 0.
We need to find the solution of the system of equations. We will use the substitution method to solve for the values of "x" and "y".
y = (-1/2)x - 1
(-1/4)x + y + 4 = 0
Substitute the value of "y" from the first equation into the second equation.
(-1/4)x + (-1/2)x - 1 + 4 = 0
(-3/4)x+3 = 0
(3/4)x = 3
x = 4
Substitute the value of "x" back into the first equation to get the value of "y".
y = (-1/2)x - 1
y = (-1/2)4 - 1
y = -2 - 1
y = -3
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Find the values of x and y
Answer:
x = 36, y = 84
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the 2 given angles from 180 for x
x = 180 - (96 + 48) = 180 - 144 = 36
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
y is an exterior angle of the triangle, thus
y = 48 + 36 = 84
is √1/9 greater less than or equal to 1/4
Answer:
Greater:
\(\sqrt{1/9} > 1/4\)
Step-by-step explanation:
\(\sqrt{\frac{1}{9} } =\frac{\sqrt{1} }{\sqrt{3} } =\frac{1}{3}\)
1/3 is greater than 1/4
Hope this helps
A veterinarian records the weights of several puppies over an 8-week period, beginning when each puppy is 12 weeks of age. This equation describes the relationship between the number of weeks, x, after a puppy’s weight is first recorded and the puppy’s weight, y, in pounds. y = 2.5x + 26.5 The number 26.5 in the equation represents the average number of pounds that a puppy weighs at 12 weeks of age. a puppy weighs at 20 weeks of age. a puppy’s weight increases over the 8-week period. a puppy’s weight increases during each of the 8 weeks.
Answer: The number 26.5 in the equation represents the average number of pounds that a puppy weighs at 12 weeks of age.
To find the weight of a puppy at 20 weeks of age, we can substitute x = 20 into the equation:
y = 2.5x + 26.5
y = 2.5(20) + 26.5
y = 50 + 26.5
y = 76.5
Therefore, a puppy weighs approximately 76.5 pounds at 20 weeks of age.
The equation y = 2.5x + 26.5 represents a linear relationship between the number of weeks after a puppy's weight is first recorded and the puppy's weight in pounds. Since the coefficient of x is positive, this means that a puppy's weight increases over time. Specifically, the weight increases by 2.5 pounds for each additional week.
However, the equation does not tell us whether a puppy's weight increases during each of the 8 weeks. To determine this, we would need additional information such as the weights of the puppies at different points in time over the 8-week period.
Step-by-step explanation:
How many solutions does this equation have?
–5d + 6 = 6 − 5d
Answer:
maannnyyy
Step-by-step explanation:
Given the following linear optimization problem Maximize 250x + 150y Subject to x + y ≤ 60 3x + y ≤ 90 2x+y>30 x, y 20 (a) Graph the constraints and determine the feasible region. (b) Find the coordinates of each corner point of the feasible region. (c) Determine the optimal solution and optimal objective function value.
The linear optimization problem is to maximize the objective function 250x + 150y, subject to the constraints x + y ≤ 60, 3x + y ≤ 90, and 2x + y > 30, where x and y are both greater than or equal to 20.
what is the feasible region and the optimal solution for the given linear optimization?The feasible region can be determined by graphing the constraints and finding the overlapping region that satisfies all the conditions. In this case, the feasible region is the area where the lines x + y = 60, 3x + y = 90, and 2x + y = 30 intersect. This region can be visually represented on a graph.
To find the corner points of the feasible region, we need to find the points of intersection of the lines that form the constraints. By solving the systems of equations, we can find that the corner points are (20, 40), (20, 60), and (30, 30).
The optimal solution and the optimal objective function value can be determined by evaluating the objective function at each corner point and selecting the point that yields the maximum value. By substituting the coordinates of the corner points into the objective function, we find that the maximum value is achieved at (20, 60) with an objective function value of 10,500.
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What is the missing constant term in the perfect square that starts with x2 + 18x
Answer:
81
Step-by-step explanation:
Take half of the x-term coefficient, and square it.
Half of 18 is 9.
9² = 81
Answer: 81
the factors of a number inculide 2, 3, 4, 6, 8, 12, 16, 32, and 48. which could be the number?
Answer:
The number could be 48.
Step-by-step explanation:
To determine the number that has the given factors, we look for the common factors among the provided numbers: 2, 3, 4, 6, 8, 12, 16, 32, and 48. Among these numbers, the only one that is a factor of all the others is 48. Therefore, 48 is a possible number that satisfies the given conditions.
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What is the length of the hypotenuse triangle
Answer:
The length of the hypotenuse of a right triangle can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides.
Step-by-step explanation:
Lynn spent $21.90 at A Hill of Beans. She bought 2 fruit smoothies at a
cost of $8.90. She bought 2 bear claws at $1.75 each. The rest of the
money was spent on 2 iced mochas. What is the cost of one iced
mocha?
Answer:
$0.3
Step-by-step explanation:
8.90x2=17.8
1.75x2=3.5
17.8+3.5=21.3
21.90-21.3=0.6
0.6/2=0.3
A bakery sold 96 vanilla cupcakes in a day, which was 48% of the total number of cupcakes sold that day. How many total cupcakes did the bakery sell that day?
Step-by-step explanation:
96/x =48%/100
48x=9600
x=9600/48
x=200 cakes
If z is directly proportional to the product of x and y and if z is 10 when x is 4 and y is 5, then x, y, and z are related by the equation
The equation relating x, y, and z is:
z = 0.5 * x * y.
In the given problem, the relationship between x, y, and z can be expressed by the equation z = k * x * y, where k represents the constant of proportionality. By substituting the values of x = 4 and y = 5, when z is equal to 10, we can determine the value of the constant of proportionality, k, and further define the relationship between the variables.
To find the constant of proportionality, we substitute the known values of x = 4, y = 5, and z = 10 into the equation z = k * x * y. This gives us the equation 10 = k * 4 * 5. By simplifying the equation, we have 10 = 20k. To isolate k, we divide both sides of the equation by 20, resulting in k = 0.5. Therefore, the equation relating x, y, and z is z = 0.5 * x * y, meaning that z is directly proportional to the product of x and y with a constant of proportionality equal to 0.5.
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amelia paid a weekly salary of $500 to sell jewelry at international Diamond Center in addition,she makes a total of 12% of commission off all of her sales. How much does Amelia make this week if she sells $22,540 worth of jewerly this week?
Answer:
Step-by-step explanation:
What is the solution to the equation?
Answer:
C. x = 63
Step-by-step explanation:
X ÷ 3 = 21 is the same as 3 × 21 which is 63.
PLSS HELPP!! The diagram shown is two intersecting lines. The measure of ∠2 is 29 degrees.
(a) What is the measure of ∠4? how do you know? Explain your answer in complete sentences.
(b) Suppose the measure of ∠3 can be represented by (3x - 8). What equation can be written to solve for the value of x?
(c) What is the value of x? show all work
The measure of ∠4 is 151°.
The equation that can be used to solve for the value of x is: 3x - 8 = 151°
The value of x is 53.
What is the measure of ∠4?(a) The measure of ∠4 is found as follows:
∠2 + ∠4 = 180° ( sum of angles on a straight line)
However, ∠2 = 29°
29° + ∠4 = 180°
∠4 = 180° - 29°
∠4 = 151°
(b) The equation that can be used to solve for the value of x is found as follows:
∠3 = ∠4 ( vertical angles are equal)
Substituting for ∠3 = 3x - 8 and ∠4 = 151°,
3x - 8 = 151°
(c) The value of x is detremined as follows:
3x - 8 = 151°
3x = 159°
x = 53
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What is the remainder when (x3 1) is divided by (x2 â€"" x 1)?.
The remainder of the equation is \(\rm x+1\).
Given that,
When the equation is \(x^3+1\) divided by \(x^2-x+1\).
We have to determine,
The remainder for the equation?
According to the question,
The equation \(x^3+1\) is divided by \(x^2-x+1\).
On the division of the polynomial, the remainder is,
\(\dfrac{\rm x^3+1}{x^2-x+1}\)
Factorize the equation to convert this into the simplest form,
\(\rm = x^3+1\\\\=x^3-x^2+x + x^2-x+1\\\\= x ( x^2-x+1) + 1(x^2-x+1)\\\\= (x+1) (x^2-x+1)\)
Now, the equation can be written as,
\(\rm = \dfrac{(x+1) (x^2-x+1) }{ x^2-x+1}\\\\= x+1\)
Hence, The required remainder of the equation is \(\rm x+1\).
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Answer: a
Step-by-step explanation:
on edge
Write the equation of the line in slope-intercept form. m=5/9 y-intercept (0,2) 2 The equation of the line in slope-intercept form is (Type an equation. Use integers or fractions for any numbers in the equation. Simplify your answer.
Answer:
y = (5/9)x + 2
Step-by-step explanation:
Slope intercept form is
y = mx + b then plug in the values
y = (5/9)x + 2
Here is a base-ten diagram that represents 1.13. Use the diagram to find 1.13−0.46.
Answer:
0.67
Step-by-step explanation:
make a graph out of this
According to the information, the best alternative to graph this information is a double bar graph in which we illustrate the highest and lowest temperatures.
How to graph the information in the table?To graph the information in the table, we must analyze the information to understand how it should be graphed. In this case, the variations (highest and lowest) correspond to a single day, so we must graph two values for each day. In this case the best alternative would be a double bar graph.
In this case, the double bar graph has days on the x-axis and temperature on the y-axis. Additionally, in each day it has two bars, one of them represents the lowest temperature and the other represents the highest temperature.
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a marketing analysis shows that start the start up cost for publishing a newsletter will be $700 and the cost for printing and mailing one copy will be $0.85. the newsletter will sell for $1.75 per issue. The cost and income are represented by the graph below
rwefdsfsdgdsdgdsfsdfsdfsfds
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