In a system of equations, the number of solutions depends on the relationship between the equations (consistent or inconsistent) and the number of variables involved.
To provide the correct answer, I would need the specific equation you are referring to. However, I can explain the concept of the least common denominator (LCD) and the number of valid solutions in an equation.
The least common denominator (LCD) is the smallest multiple of the denominators in an equation. It is used when adding or subtracting fractions with different denominators. By finding the LCD, you can convert the fractions to have a common denominator.
The number of valid solutions in an equation depends on the type of equation and the context in which it is used. For example:
In a linear equation with one variable, there can be one solution, infinitely many solutions, or no solution.
In a quadratic equation, there can be zero, one, or two solutions.
In a system of equations, the number of solutions depends on the relationship between the equations (consistent or inconsistent) and the number of variables involved.
If you provide the specific equation you are referring to, I can help you complete the statement accurately.
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dream smp
out here <3
Answer:
hahaha vote enhypen on mama thanks
Answer:
Hey im present
Step-by-step explanation:
you have summoned me.
determine the intensity of a 118- db sound. the intensity of the reference level required to determine the sound level is 1.0×10−12w/m2 .
We can estimate the intensity of the sound to be:
I = 6.31 × 10⁻⁴ W/m²
How to find the intensity?To determine the intensity of a 118 dB sound, we need to use the decibel scale and the reference level intensity given. The formula to convert from decibels (dB) to intensity (I) is as follows:
\(I = I₀ * 10^{L/10}\)
Where the variables are:
I is the intensity of the sound in watts per square meter (W/m²),I₀ is the reference intensity in watts per square meter (W/m²),L is the sound level in decibels (dB).In this case, the reference level intensity is given as I₀ = 1.0×10⁻¹² W/m², and the sound level is L = 118 dB.
Substituting the values into the formula, we can calculate the intensity:
I = (1.0×10⁻¹² W/m²) * 10^(118/10)
Simplifying the exponent:
I = (1.0×10⁻¹² W/m²) * 10^(11.8)
Evaluating the expression:
I ≈ 6.31 × 10⁻⁴ W/m²
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Please help!!!!!!!!!!!!!!!!!
Answer:
f(x) = x^2 g(x) = -2/5 x^2
Suppose x = 5 then f(5) = 25 and g(5) = -2/5 (25) = -10
g(x) is less than f(x) and g(x) is below the x-axis if x is positive
Only (D) matches these requirements
9x - 7 = -7 will give alot of bp
Answer:
x = 0
Step-by-step explanation:
Step 1: Write equation
9x - 7 = -7
Step 2: Solve for x
Add 7 to both sides: 9x = 0Divide both sides by 9: x = 0Step 3: Check
Plug in x to verify it's a solution.
9(0) - 7 = -7
0 - 7 = -7
-7 = -7
Michael has a bag of smarties.He has 6 red smarties 4 blue smarties and 2 pink smarties.What is the probability he will pick 2 blue smarties two times
Answer:
Step-by-step explanation:
If he puts smarty back
because it's an "and" multiply by the 2 possibilities
4/12 *4/12
=1/3 *1/3
=1/9
If does not put smarty back
4/12 *3/11
=1/3*3/11
=3/33
i need help simplifying problem 10
A plan for a baseball diamond is drawn in a coordinate plane. The baseball
diamond is in the shape of a square with vertices at approximately (0, 64), (64, 0),
(0, -64), and (-64, 0). One unit in the coordinate plane represents 1 ft. What is the
approximate area of the baseball diamond? Show your work. NOT IN BIG WORDS
Answer:
an answer
Step-by-step explanation:
As the balloon inflates at 20 cubic inches per second, the diameter and radius are changing. let's focus on the moment when the radius is 12 inches. share your answer with correct units.
At the moment when the radius is 12 inches, the balloon is inflating at a rate of 20 cubic inches per second.
To determine the rate at which the radius is changing, we can use the formula for the volume of a sphere, which is given by \(V = \left(\frac{4}{3}\right)\pi r^3\), where V is the volume and r is the radius.
Taking the derivative of both sides with respect to time t, we get \(\frac{dV}{dt} = 4\pi r^2\left(\frac{dr}{dt}\right)\), where \(\frac{dV}{dt}\) represents the rate of change of volume with respect to time and \(\frac{dr}{dt}\) represents the rate of change of radius with respect to time.
Given that \(\frac{dV}{dt} = 20\) cubic inches per second, we can substitute this value into the equation and solve for \(\frac{dr}{dt}\) when r = 12 inches:
\(20 = 4\pi (12)^2 \left(\frac{dr}{dt}\right)\)
Simplifying the equation:
\(20 = 576\pi \left(\frac{dr}{dt}\right)\)
Dividing both sides by 576π:
\(\left(\frac{dr}{dt}\right) = \frac{20}{576\pi}\)
Therefore, the rate at which the radius is changing when the radius is 12 inches is approximately \(\frac{20}{576\pi}\) inches per second.
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sinθ/cosθtanθ=1
how is this identity true?
Answer:
This is actually not an identity.
(b +11) (b - 11)
Please show work
Answer:
b² - 121
Step-by-step explanation:
(b +11)(b - 11)
b² - 11b + 11b - 121
b² - 121
HOW DO I DO IT?! pls help this is homework and i need help and i have a test fiaday this week!
The wages earned by the worker after assembling 300 parts is $90.
What is equation?The equals sign indicates that two expressions in a formula, also known as an equation, are equal.
Given:
The no of parts assembled by the worker, n = 250,
The wage he gets, r = $75
The wage earned to assemble one part = 75 / 250 = $0.3
So, the wage earned by worker by assembling 300 parts = 0.3 × 300 = $90
Therefore, the wage earned by the worker after assembling 300 parts is $90.
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please help!!! i really need this ill give 25 points!!
For a large random sample, what z-score(s) cover the "middle 98%" of the normal curve and represent the 98% confidence level (CL)?
To determine the z-score(s) that cover the "middle 98%" of the normal curve and represent the 98% confidence level (CL), we can use the properties of the standard normal distribution.
The "middle 98%" refers to the area under the normal curve between the z-scores that enclose the central 98% of the distribution. In a standard normal distribution, the mean is 0 and the standard deviation is 1.
Since the distribution is symmetric, we need to find the z-score(s) that correspond to the area of (1 - 0.98) / 2 = 0.01 on each tail of the distribution. The remaining 0.02 is split equally between the two tails.
To find the z-score(s), we can use a standard normal distribution table or a calculator.
Looking up the value of 0.01 in the z-table, we find that the z-score that corresponds to the lower tail is approximately -2.33. This means that 1% of the area lies to the left of z = -2.33.
To find the z-score for the upper tail, we use the symmetry of the distribution. The z-score that corresponds to the upper tail is the negative of the z-score for the lower tail, so it is approximately 2.33.
Therefore, the z-scores that cover the "middle 98%" of the normal curve and represent the 98% confidence level (CL) are approximately -2.33 and 2.33.
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USE FOR MASTERY Number of attempts allowed: 1 Write two rational numbers a/b and c/d, where a, b, c, and d are the digits 2, 3, 4, or 5, such that no digit can be used more than once and that the two rational numbers are the greatest distance apart on the number line. Explain how you got this answer.
Answer:
We want to craft:
a/b and c/d
where a, b, c and d can be 2, 3, 4 and 5.
Such that the distance in the number line between these two numbers is maximized.
Then we want one number to be really small, and the other to be really large.
Remember two things:
for numbers like a/b.
if a is smaller than b, then a/b is smaller than 1.
Now, if a is larger than b, then a/b is larger than 1.
And two things,
1/10 = 0.1
10/1 = 10
So when the numerator is larger, the distance displaced in the number line is larger.
Then we want to have:
a number where the numerator is the largest option and the denominator is the smallest option:
a/b = 5/2
And the two remaining options in such way that the numerator is smaller than the denominator:
c/d = 3/4.
The distance between these two numbers is:
D = 5/2 - 3/4 = 10/4 - 3/4 = 7/4.
let s be any set. let r be the subset relation defined on the powerset of s as follows: for all sets a and b, a r b iff a ⸦ b. determine if r is reflexive, symmetric, transitive, or none of these.
The subset relation R defined on the power set of a set S is reflexive and transitive, but it is not symmetric. (option b)
Reflexivity:
A relation is reflexive if every element of the set is related to itself. In the case of the subset relation R, we need to determine if every set in P(S) is a subset of itself. Let's consider an arbitrary set A in P(S). Since A is a subset of itself, as every element in A is also in A, we can conclude that the subset relation R is reflexive.
Symmetry:
A relation is symmetric if whenever A is related to B, B is also related to A. In the case of the subset relation R, we need to examine if for any sets A and B in P(S), if A is a subset of B, does it imply that B is a subset of A? However, this is not necessarily true. Consider the example where S = {1, 2}. Let A = {1} and B = {2}. Here, A is a subset of B, but B is not a subset of A. Therefore, the subset relation R is not symmetric.
Transitivity:
A relation is transitive if whenever A is related to B and B is related to C, then A is also related to C. In the case of the subset relation R, we need to verify if for any sets A, B, and C in P(S), if A is a subset of B and B is a subset of C, does it imply that A is a subset of C? Fortunately, this property holds for the subset relation R.
Let's consider sets A, B, and C in P(S). If A is a subset of B and B is a subset of C, then every element in A is also an element of B, and every element in B is also an element of C. Therefore, every element in A is also an element of C, implying that A is a subset of C. Thus, the subset relation R is transitive.
Hence the correct option is (b).
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Mr. Duncan creates a pop quiz for his students. On the quiz, students must order the following numbers from least to greatest.
– 1.15, V14, 3, -18}
Which list shows the correct response to the question on Mr. Duncan's quiz?
9
0 -1.15, - 18 , V14
O -1.15, -78, 14 , 1
O-V8. - 1.15, 14,
0 -18. - 1.15, , V14
Answer:
im sry but i have no idea
Step-by-step explanation:
En la figura, la suma de las medidas p + q + r + s =/In the figure, the sum of the measures p + q + r + s =
And if someone know the explanation please write it
Answer:
I think its 300
Step-by-step explanation
This is from my understanding, so I may be a bit wrong.
1. First observe the amount of triangles that form, you have two main triangles and one isosceles triangle that forms in the middle by how these are joined together.
2. Using this idea we will come up with the equations of each triangle that has been formed.
3. We can observe that almost all angles are named with a variable except the one in the middle, being an isosceles we will name the missing variable y.
4. Triangle 1(left side) or T1 equals 180 degrees but what angles form this triangle, these would be p+q+y = 180, T2(right side) = r+s+y = 180
5. After creating these two triangles we notice that we have not taken into account the triangle in the middle, we are given 1 angle of this isosceles. There is a mathematical property which I don't remember the name, but essentially the angle below is the same as the angle above, this being 120 degrees. This will result in T3 = 2y + 120 = 180
6. Solve for y, which gives us y=30, *simple triangle math you know*
7. Finally we fix our equations for p+q+r+s, essentially T1 and T2 will transform into p+q = 180-y and r+s = 180-y, we add them up forming p+q+r+s = 2(180-y)
8. Solve the equation p+q+r+s = 360 - 2y which when adding y becomes p+q+r+s = 360-60 = 300
Notes: when doing these exercises it is important to take into account every triangle, the isosceles triangle is very vital for solving it, as it gives us a way for making an equation that is single handedly dependent on y a constant we can find and use. A good approach for these issues would be writing every piece of information as separate sets and then trying to join them using algebra.
What is the value of the bisecting angle, x, marked on this square?
The four corners of a square are 90 degrees.
They are evenly split by the diagonal lines, so each corner is now two 45 degree angles.
The lines form triangles, which have 3 angles that need to equal 180 degrees.
Two of the angles are 45, so 45 + 45 = 90 degrees.
X = 180 -90 = 90 degrees.
Answer:
90 degrees
By 90 * 4 is 360
Step-by-step explanation:
Simplify 3(y - 1) + 7 completely
Answer:3y+4
Step-by-step explanation:
The solution of the expression will be 3y+4.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given expression is 3(y - 1) + 7. The solution of the expression is done as below,
E = 3(y - 1) + 7
E = 3y - 3 + 7
E = 3y + 4
Therefore, the solution of the expression will be 3y+4.
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the set of whole numbers and their opposites
Answer:
Integers
Step-by-step explanation:
175% of what number is 31
Step-by-step explanation:
To find the number that is 175% of 31, we can use the following formula:
175% of X = 31
Mathematically, we can represent 175% as 1.75 (since percentage is a ratio out of 100).
So, the equation becomes:
1.75 * X = 31
To solve for X, we divide both sides of the equation by 1.75:
X = 31 / 1.75
Using a calculator, we can evaluate the right-hand side to find the value of X:
X ≈ 17.714
So, 175% of approximately 17.714 is equal to 31.
Answer:
17.714
Step-by-step explanation:
What is the value of x/2 + 4 when x = 6?
Step-by-step explanation:
solution:
here,
x/2+4
= 6/2+4 ( x = 6 )
= 3+4
= 7
Answer:
7
Step-by-step explanation:
x/2 + 4
=> 6/2 + 4 (x=6)
=> 3 + 4
=> 7
Find the solution to the system
of equations. y=2x+3 y=-x
Answer:
X=-1, y=1
Step-by-step explanation:
- x=2x+3
-3x=3
X=-1
Y=-1*-1=1
The position of a particle moving along the x axis is given by x(t) = 5.42 m-2.31 m/s t. at what time in s does the particle cross the origin?
The particle crosses the origin at a time of 2.346 seconds.
To find the time at which the particle crosses the origin, we need to determine the value of t when x(t) is equal to zero, since the particle will be at the origin when its position is zero.
Using the given position function x(t) = 5.42 m - 2.31 m/s t, we can set x(t) equal to zero and solve for t:
x(t) = 0
5.42 m - 2.31 m/s t = 0
Subtracting 5.42 m from both sides, we get:
-2.31 m/s t = -5.42 m
Dividing both sides by -2.31 m/s, we get:
t = 5.42 m / 2.31 m/s
t = 2.346 s
Therefore, the particle crosses the origin at a time of 2.346 seconds.
In summary, we find the time at which the particle crosses the origin by setting the position function equal to zero and solving for the corresponding value of t. This method works for any one-dimensional motion along a straight line.
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State the center point and radius of the circle. Write the equation of the circle in general form.
Answer:
(x + 4)² + (y - 2)² = 64
Step-by-step explanation:
Center = (-4, 2)
Radius = 8
Therefore, using the equation of a circle formula:
(x - a)² + (y - b)² = r²
where (a, b) represents the center point of the circle, and r is the radius
(x + 4)² + (y - 2)² = 8²
(x + 4)² + (y - 2)² = 64
Please help!
I will mark brainliest to correct answer.
1/2 is the probability that the number will add up to more than 4. Option C is correct
Application of probabilityProbability is defined as the likelihood or chance that an event will occur.
Probability = Expected/Total
From the given spinner, the total outcome is expressed according to the permutation
For orange spin
3P2 = 3!
3P2 = 6
For green spin
4P2 = 4!/2!
4P2 = 12
If they are both spinned, the probability that the sum will be more than 4 are:
Expected (orange) = {(2,3)}
Expected (green) = {((1, 3), (3, 4) (2, 4), (2,3)}
Pr(number added is 4) = 1/6 + 4/12
Pr(number added is 4) = 2+4/12
Pr(number added is 4) = 1/2
Hence the probability that the number will add up to more than 4 is 1/2
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a manager recorded the number of gallons of ice cream sold for the past six periods. he asked you to choose a forecasting model to predict the demand for gallons of ice cream in period 7. you consider applying a two-period moving average model and a two-period weighted moving average model with weights of 0.6 and 0.4. a) which model is better for this data set (hint: show all your work including forecasts for each period and calculations using measures of forecast accuracy)? (9 points)
The two-period moving average model and the two-period weighted moving average model are both common forecasting methods used to predict future demand. and we understand that the model with the lower MAD and MSE values will have the most accurate forecast.
To determine which model is better for this particular data set, we need to compare the accuracy of each model. To do this, we will calculate the Mean Absolute Deviation (MAD) and the Mean Squared Error (MSE) for each model.
For the two-period moving average model, we can calculate the forecast for period 7 by taking the average of p5 and 6:
Period 7 forecast = (Gallons in Period 5 + Gallons in Period 6)/2
For the two-period weighted moving average model, we can calculate the forecast for period 7 by using the weights of 0.6 and 0.4:
Period 7 forecast = (0.6 x Gallons in Period 5) + (0.4 x Gallons in Period 6)
We can then compare the accuracy of each model by calculating the MAD and MSE. To calculate MAD, we need to subtract the actual demand in each period from the forecasted demand and take the absolute value:
MAD = |Actual demand – Forecasted demand|
To calculate MSE, we need to square the differences between the actual demand and the forecasted demand:
MSE = (Actual demand – Forecasted demand)^2
After calculating the MAD and MSE for each model, we can compare the results to determine which model is better for this data set. The model with the lower MAD and MSE values will have the most accurate forecast.
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distribute the problem
2(3-8y)
Answer:
6-16yStep-by-step explanation:
Hello!
apply distributive law
\(a(b - c) = ab - ac\)
2(3-8y)=2.3-2.8y
2.3=6-2.8y= -16y=6-16y
Hope it helps!
The product of k and 9 is no more than 18
Answer:
2
Step-by-step explanation:
\(\large\huge\green{\sf{Answer:-}}\)
➡k x 9≤ 18
➡x≥18/9=2
➡answer is 2Over which interval is the graph of the parent absolute value function decreasing?
(–[infinity], [infinity])
(–[infinity], 0)
(–6, 0)
(0, [infinity])
The graph of the parent absolute value function is decreasing over the interval (-∞, 0). The function exhibits a decreasing behavior as x moves from negative infinity towards zero, where the absolute value decreases.
The parent absolute value function is defined as f(x) = |x|. To determine where the graph of this function is decreasing, we need to identify the intervals where the function's slope is negative.
Let's analyze the behavior of the parent absolute value function:
For x < 0, the function can be rewritten as f(x) = -x. In this interval, the function is a linear function with a negative slope of -1. As x decreases, f(x) also decreases, indicating a decreasing behavior.
For x > 0, the function remains f(x) = x. In this interval, the function is a linear function with a positive slope of 1. As x increases, f(x) also increases, indicating an increasing behavior.
At x = 0, the function is not differentiable since the slope changes abruptly from negative to positive. However, it is worth noting that the function does not strictly decrease or increase at x = 0.
Therefore, we can conclude that the graph of the parent absolute value function is decreasing over the interval (-∞, 0).
In this interval, as x moves from negative infinity towards zero, the function values decrease. The farther away x is from zero (in the negative direction), the larger the absolute value, resulting in a decrease in the function values.
On the other hand, the graph of the parent absolute value function is increasing over the interval (0, ∞), as explained earlier.
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