\(\dfrac 7{12} + \dfrac 56\\\\\\=\dfrac 7{12} + \dfrac{10}{12}\\\\\\=\dfrac{7+10}{12}\\\\\\=\dfrac{17}{12}\)
what does \( \frac{7}{12} + \frac{5}{6} \) equal
▪▪▪▪▪▪▪▪▪▪▪▪▪▪▪
Solution:-= \(\frac{7}{12} + \frac{5}{6}\)LCM of 12 and 6 = 12
= \( \frac{7 + 10}{12} \)= \( \frac{17}{12} \)= \(1 \frac{5}{12} \)a² + 6 from 7
plzz answer i gave u half of my points plz
Answer:
a = 1
Step-by-step explanation:
First, you subtract 6 from both sides and you end up with a² = 1. Since one cannot be squared or square rooted, a = 1. I hope this helps!
We roll a fair 6-sided die 5 times. what is the probability that we get an odd number in exactly 4 of the 5 rolls
Answer:
Step-by-step explanation:
The die is 6-sided. This means that there are 3 odd numbers and 3 even numbers.
When the die is rolled once, the probability of getting an odd number is:
3/6 = 1/2
The probability that this event will occur 4 out of 5 times will be:
4/5 * 1/2 = 4/10 = 2/5
What would a simple (1-for-1) substitution provide?
A simple (1-for-1) substitution would provide a direct replacement of one element or variable with another element or variable.
This can be useful in simplifying equations or formulas by replacing complex expressions with simpler ones. However, it may not always be applicable or accurate in more complex situations.
A simple 1-for-1 substitution provides a straightforward replacement of one element with another in a given context. This can be applied in various scenarios, such as replacing letters in cryptography, swapping ingredients in a recipe, or substituting variables in mathematical equations. The primary purpose of this substitution is to maintain the overall structure while changing a specific component.
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Put these integers in order from greatest to least.
45, -31, 0, 96, -58
Step-by-step explanation:
96, 45, 0, -31, -58
you can maybe remember that a "bigger" negative number just means that it is more negative than the "smaller" negative number. and therefore the seemingly bigger negative number is actually smaller.
just think : a temperature of -3° is colder than e.g. -1 or -2.
Why does the number 26 not belong with 17, 26, 44 & 65?
Answer & Step-by-step explanation:
This is what is called an arithmetic sequence. An arithmetic sequence adds the same number every time. If we take and subtract the 3rd term from the 4th term, we get 21. However, when we subtract 17 from 26 or 26 from 44, we get 9 and 18 respectively, which is not in keeping with the sequence.
___________________________________________________I AM ALWAYS HAPPY TO HELP :)b. How should Kiran change the quantities that he used
so that his smoothie tastes
just like Clare's?
Answer:
Kiran's smoothie would be more chocolatey than Clare's. All ingredients are doubled, but there is an extra teaspoon of chocolate syrup in his smoothie.
Step-by-step explanation:
(aryan)
what line passes through (8,2) and is parallel to y= 1/2x +1
The equation of the line is y = 1/2x - 2
Calculating the equation of the lineFrom the question, we have the following parameters that can be used in our computation:
y= 1/2x +1
Point = (8, 2)
Parallel lines have equal slopes
This means that the slope of the line is 1/2
So, the eqiuation is calculated as
y = m(x - x1) + y1
substitute the known values in the above equation, so, we have the following representation
y = 1/2(x - 8) + 2
Evaluate
y = 1/2x - 2
Hence, the equation is y = 1/2x - 2
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If u know it please answer it!
As ∠ ( 6x + 6 )° and ∠ ( 8x + 2 )° are vertically opposite angles , their measures will be equal .
Which means :-
\(6x + 6 = 8x + 2\)
\(6 = 8x + 2 - 6x\)
\(6 = 2x + 2\)
\(2x + 2 = 6\)
\(2x = 6 - 2\)
\(2x = 4\)
\(x = \frac{4}{2} \)
\(\color{hotpink}x = 2\)
Then :-1) = ∠URS
= 6x + 6
= 6 × 2 + 6
= 12 + 6
\( \color{olive} ∠URS \color{hotpink} = 18°\)
2) = ∠QRT
= 8x + 2
= 8 × 2 + 2
= 16 + 2
\(\color{olive} ∠QRT \color{hotpink}= 18°\)
Therefore , the correct options are :-
\(\color{olive} x \color{hotpink} = \color{hotpink} \color{olive} 2\)
\(\color{olive} ∠QRT\color{hotpink} = \color{olive} 18 \: deg\)
\(\color{olive} ∠URS \color{hotpink} = \color{olive} 18 \: deg\)
A forecasting method has produced the following over the past five months. What is the mean absolute deviation? 3. 6 3.8 3.2. \( 3.4 \) \( 3.0 \)
The mean absolute deviation for the given dataset of 3, 6, 3.8, 3.2, and 3.4 is approximately 0.996. This means that, on average, each data point in the dataset deviates from the mean by approximately 0.996.
The mean absolute deviation (MAD) measures the average distance between each data point and the mean of the dataset. To find the MAD, you need to follow these steps:
1. Calculate the mean of the dataset by adding up all the numbers and dividing the sum by the total number of data points. In this case, the dataset consists of the following numbers: 3, 6, 3.8, 3.2, and 3.4. Adding them up gives us a sum of 19.4. Dividing this sum by 5 (since there are 5 data points) gives us a mean of 3.88.
2. Find the absolute deviation for each data point by subtracting the mean from each data point and taking the absolute value. For example, for the first data point, 3, the absolute deviation would be |3 - 3.88| = 0.88. Repeat this step for all the data points.
3. Calculate the mean of the absolute deviations by adding up all the absolute deviations and dividing the sum by the total number of data points. In this case, the absolute deviations are: 0.88, 2.12, 0.72, 0.68, and 0.58. Adding them up gives us a sum of 4.98. Dividing this sum by 5 gives us a mean of 0.996.
So, the mean absolute deviation for the given dataset is approximately 0.996.
The mean absolute deviation helps us understand how much each data point varies from the mean of the dataset. By calculating the absolute deviation for each data point and finding the average, we can determine the typical amount of variation in the dataset.
The mean absolute deviation for the given dataset of 3, 6, 3.8, 3.2, and 3.4 is approximately 0.996. This means that, on average, each data point in the dataset deviates from the mean by approximately 0.996.
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For a two-tailed test at 12. 66% significance level, the critical value of z is:.
for a two-tailed test at a 12.66% significance level, the critical values of z are approximately +1.53 and -1.53. We are looking for the z-score that corresponds to the area to the right of it (for the positive critical value) equal to 0.0633.
For a two-tailed test at a 12.66% significance level, we need to find the critical value of z.
Step 1: Determine the significance level for each tail.
Since this is a two-tailed test, we need to divide the overall significance level (12.66%) by 2. This gives us 6.33% (or 0.0633 in decimal form) in each tail.
Step 2: Find the z-score associated with the given significance level.
To find the critical value of z, you can use a z-table or an online calculator. We are looking for the z-score that corresponds to the area to the right of it (for the positive critical value) equal to 0.0633.
Using a z-table or calculator, you'll find that the z-score is approximately ±1.53.
So, for a two-tailed test at a 12.66% significance level, the critical values of z are approximately +1.53 and -1.53.
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Greatly would appreciate it
answer: … yea what is the question
If a researcher needs a sample that is representative of the population they are studying, they could utilize a _______.
The researchers could utilize a probability sample.
Meaning of a Probability Sample
Every member of a population must have an equal chance of being chosen for a study in order for a sample to be considered a probability sample, and the researcher must be aware of this likelihood. The most typical type of sampling used in public opinion research, election polling, and other studies whose findings will be generalized to a larger population is probability sampling in which probability samples are made use of.
Probability Sample as the Representative of Population Sample
Here, a sample that qualifies for a representative of the population the researchers are studying, must consist of members having equal chances to be chosen for the study. Thus, a probability sample is the best representative of their study population.
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What equation has the same solution as 3x-5=5x + ll
Answer: -5=2x+11
Step-by-step explanation:
3x-5=5x+11
subtract 3x to both sides
3x-5 - 3x =5x+11 - 3x
simplify
-5 = 2x +11
answer is -5=2x+11
describe la vida en el barrio que se desarrolla en la pelicula los olvidados de Luis Buñuel teniendo en cuenta sus condiciones economicas y sociales atravez de las distintas actividades desarrolladas por los vecindarios
Life in the neighborhood depicted in the film "Los Olvidados" is characterized by challenging economic and social conditions.
How do the economic and social conditions shape life in the neighborhood?The neighborhood in "Los Olvidados" is portrayed as a poverty-stricken area where the residents struggle to make ends meet. The film explores the lives of marginalized individuals most particularly young boys, who are caught in a cycle of poverty, violence, and neglect.
The economic conditions in the neighborhood are harsh, with limited opportunities for employment and a lack of access to basic necessities. As a result, the residents are often forced into criminal activities to survive leading to a high level of violence and crime within the community.
Moreover, the social conditions exacerbate the challenges faced by the neighborhood. There is a sense of abandonment and neglect from the government and wider society with little support or resources available to address the issues faced by the residents.
Full question:
Describes life in the neighborhood that takes place in the film Los Olvidados by Luis Buñuel, taking into account their economic and social conditions through the different activities carried out by the neighborhoods.
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Basic probability review:
A bag contains 3 red marbles, 8 blue marbles, 7 yellow marbles and 2 orange marbles. What is P(yellow) as a percent?
70%
35%
10%
25%
The probability of getting yellow is option (B) 35%
Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 indicates that the event is impossible, and 1 indicates that the event is certain to occur.
The probability of selecting a yellow marble from the bag can be calculated by dividing the number of yellow marbles by the total number of marbles in the bag
P(yellow) = number of yellow marbles / total number of marbles
P(yellow) = 7 / (3 + 8 + 7 + 2) = 7/20 = 0.35
So, the probability of selecting a yellow marble from the bag is 0.35, which is equivalent to 35% as a percentage.
Therefore, the correct option is (B) 35%
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f(x) = x2. What is g(x)?
5
f(x) = x²
-5
5
g(x)
O A. g(x) = -x2 - 4
B. g(x) = x2 - 4
O c. g(x) = - 4x²
O D. g(x) = x2 + 4
Answer:
Step-by-step explanation:
We can see g(x) is -f(x) and it is shifted downward by 4 units so
g(x)=-x^2-4 (answer B)
The graph of the function g ( x ) = -x² - 4 is plotted
What is Equation of Graph of Polynomials?Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.
Identify the even and odd multiplicities of the polynomial functions' zeros.
Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.
The graphs cross or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities
Given data ,
Let the parent function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = x²
where the graph of the function g ( x ) is
g ( x ) = -x² - 4
Hence , the function is g ( x ) = -x² - 4
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For each of the following subsets of a given vector space, determine if the subset
W
is a subspace of
V
. a)
W={(x 1
,x 2
,x 3
,x 4
)εR 4
∣x 1
+2x 3
−3x 4
=0}V=R 4
b)
W={BεA 3×3
∣∣B∣=0}V=A 3×3
c)
W={p(x)εP 3
∣p(x)=a 3
x 3
+a 2
x 2
+a 1
x}V=P 3
d)
W={BεA 2×2
∣B=[ a
0
b
d
]}V=A 2×2
The sets of vectors that are subspaces of R3 are:
1. all x such that x₂ is rational
2. all x such that x₁ + 3x₂ = x₃
3. all x such that x₁ ≥ 0
Set of vectors where x₂ is rational: To determine if this set is a subspace, we need to check if it satisfies the two conditions for a subspace: closure under addition and closure under scalar multiplication.
Set of vectors where x₂ = x₁²: Again, we need to verify if this set satisfies the two conditions for a subspace.
Closure under addition: Consider two vectors, x = (x₁, x₂, x₃) and y = (y1, y2, y3), where x₂ = x₁² and y2 = y1².
If we add these vectors, we get
z = x + y = (x₁ + y1, x₂ + y2, x₃ + y3).
For z to be in the set, we need
z2 = (x₁ + y1)².
However, (x₁ + y1)² is not necessarily equal to
x₁² + y1², unless y1 = 0.
Therefore, the set is not closed under addition.
Closure under scalar multiplication: Let's take a vector x = (x₁, x₂, x₃) where x₂ = x₁² and multiply it by a scalar c. The resulting vector cx = (cx₁, cx₂, cx₃) has cx₂ = (cx₁)². Since squaring a scalar preserves its non-negativity, cx₂ is non-negative if x₂ is non-negative. However, this set allows for negative values of x₂ (e.g., (-1, 1, 0)), which means cx₂ can be negative as well. Therefore, this set is not closed under scalar multiplication.
Conclusion: The set of vectors where x₂ = x₁² is not a subspace of R3.
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Complete Question:
Which of the following set of vectors x = (x₁, x₂, x₃) and R³ is a subspace of R³?
1. all x such that x₂ is rational
2. all x such that x₁ + 3x₂ = x₃
3. all x such that x₁ ≥ 0
4. all x such that x₂=x₁²
Which of the following could be the equation of a trend line for the data shown in the scatter plot?
o A. y=-1.4x + 13
O B. y = -14x + 13
OC. y = 1.4x + 1
OD. y = -7x
Answer:
plugg in x values into the given functions.
it's option A
Determine the value of the constant a for which the function f(x) is continuous at -4.
To determine the value of the constant a for which the function f(x) shows continuity at -4, we need to ensure that the left-hand limit, right-hand limit, and the value of the function at x = -4 are all equal.
To find the left-hand limit, we evaluate f(x) as x approaches -4 from the left side. Let's assume the left-hand limit is L.
Next, we find the right-hand limit by evaluating f(x) as x approaches -4 from the right side. Let's assume the right-hand limit is R.
Finally, we find the value of the function at x = -4 by substituting -4 into the expression for f(x). Let's assume this value is V.
For f(x) to be continuous at -4, the left-hand limit, right-hand limit, and the value of the function at x = -4 must all be equal.
So, we have L = R = V.
Now, let's work through an example to illustrate this process:
Suppose f(x) = ax^2 + 3x - 5.
To find the left-hand limit, we substitute -4 into the expression for f(x) and simplify:
L = lim(x->-4-) f(x) = a(-4)^2 + 3(-4) - 5 = 16a - 12 - 5 = 16a - 17.
Similarly, to find the right-hand limit, we substitute -4 into the expression for f(x) and simplify:
R = lim(x->-4+) f(x) = a(-4)^2 + 3(-4) - 5 = 16a - 12 - 5 = 16a - 17.
Finally, we find the value of the function at x = -4:
V = f(-4) = a(-4)^2 + 3(-4) - 5 = 16a - 12 - 5 = 16a - 17.
To ensure continuity at x = -4, we equate L, R, and V:
16a - 17 = 16a - 17.
No matter the value of a, L = R = V is always satisfied. Therefore, any value of a will make the function f(x) continuous at -4.
In conclusion, the value of the constant a does not affect the continuity of the function f(x) at -4. This means that the function will be continuous at -4 for any value of a.
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according to the empirical rule, what percentage of data in a typical normal distribution (bell-shaped) lies within one standard deviation from the mean?
Approximately 68% of the data in a normal distribution lies within one standard deviation from the mean according to the empirical rule.
According to the empirical rule, which applies to a normal distribution, approximately 68% of the data falls within one standard deviation of the mean. Specifically, 68.27% of the data falls within one standard deviation of the mean, which means that if the distribution is bell-shaped, the data is symmetrically distributed around the mean and most of the data is clustered within one standard deviation from the mean.
The empirical rule also states that approximately 95% of the data falls within two standard deviations of the mean, and about 99.7% of the data falls within three standard deviations of the mean.
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Determine whether the equation below has a one solutions, no solutions, or an infinite number of solutions. Afterwards, determine two values of xx that support your conclusion. X/-10=5
Answer:
One solution
Step-by-step explanation:
Given the expression
X/-10 = 5
Multiply both sides by -10
X/-10 × -10 = 5×-10
X × 1 = -50
X = -50
Since the value of x is just 1, hence the equation has just one solution
x/2 + 4 < 18
What is the value of x?
And what does the point on the number line look like?
Someone help me
Worth 29 points
Answer:
x<28
Step-by-step explanation:
Isolate x
First, subtract 4 on both sides
x/2+<14
Then, multiply both sides by 2 to get x alone
x<28
On a number line, there would be an open circle (not filled in dot) on 28, and the entire left side of the number line would be filled in
Answer:
x<28
Step-by-step explanation:
x/2+4<18
multiply the 2 on both sides to get rid of it
x+8<36
isolate the x
x<28
on the number line, it's an open circle with the arrow pointing to the left.
Jestion 8/10
To file your federal and state taxes you
can use tax preparation software for federal taxes,
but can't for state taxes
must prepare the same tax forms for both
can use tax preparation software for state taxes,
but can't for federal taxes
must prepare different forms for each type of
government (if your state requires it) on
Tax prep software can be used for federal taxes but not always for state taxes, which may require separate forms.
While documenting your government and state charges, you have a couple of choices for how to plan and submit them. One choice is to involve charge planning programming for government charges, which can simplify the cycle and more smoothed out.
In any case, you for the most part can't involve a similar programming for state charges, as each state has its own expense code and necessities.
All things being equal, you might have to set up your state burdens independently, either by finishing up paper structures or utilizing separate duty readiness programming planned explicitly for your state.
A few states bring concurrences with specific expense programming suppliers to the table free or limited programming to occupants, so it merits checking with your state's duty position to see what choices are accessible to you.
It's critical to take note of that while government and state burdens frequently require comparative data, they might require various structures and estimations, so giving close consideration to the particular prerequisites for each kind of tax is significant.
Furthermore, on the off chance that you live in an express that doesn't have a personal expense, you may just have to record a government expense form.
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Dr. Jones is a billionaire and an amateur mathematician. Today, she wants to invest 80 million dollars at a fixed annual interest rate of 10% and use this fund to set up a "Nobel prize" for mathematicians: in each year, she awards a sum of money to the most outstanding mathematician. To combat inflation, the size of the prize is x for the first year, 1.045x in the second year, and $1.045t-1x in year t. Suppose that the first prize is scheduled to be given out immediately and Dr. Jones wants this to become a legacy that lasts forever, what is the highest possible value of x in millions of dollars? (For example, if your answer is 5 million, please enter 5 without adding "million".)
The highest possible value of x in millions of dollars is approximately 76.4 million.
To find the highest possible value of x in millions of dollars, we need to determine the value of x that will allow the fund to last forever.
The value of the fund in year t can be expressed as:
V(t) = x + 1.045x + (1.045^2)x + ... + (1.045^(t-1))x
This is a geometric series with a common ratio of 1.045. The sum of a geometric series is given by the formula:
S = a * (1 - r^t) / (1 - r)
where a is the first term, r is the common ratio, and t is the number of terms.
In this case, a = x, r = 1.045, and we want the sum to be infinite (to last forever). Therefore, we can set up the following equation:
V = x / (1 - 1.045) = 80 million
Simplifying this equation, we get:
x / (0.955) = 80 million
x = 80 million * 0.955
x ≈ 76.4 million
So, the highest possible value of x in millions of dollars is approximately 76.4 million.
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The highest possible value of x in millions of dollars is approximately 76.4 million.
To find the highest possible value of x in millions of dollars, we need to determine the value of x that will allow the fund to last forever.
The value of the fund in year t can be expressed as:
V(t) = x + 1.045x + (1.045^2)x + ... + (1.045^(t-1))x
This is a geometric series with a common ratio of 1.045. The sum of a geometric series is given by the formula:
S = a * (1 - r^t) / (1 - r)
where a is the first term, r is the common ratio, and t is the number of terms.
In this case, a = x, r = 1.045, and we want the sum to be infinite (to last forever). Therefore, we can set up the following equation:
V = x / (1 - 1.045) = 80 million
Simplifying this equation, we get:
x / (0.955) = 80 million
x = 80 million * 0.955
x ≈ 76.4 million
So, the highest possible value of x in millions of dollars is approximately 76.4 million.
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the bus you take every morning always arrives anywhere from 2 minutes early to 15 minutes late and it is equally likely that it arrives during any of those minutes. suppose that you arrive at the bus stop five minutes early. what is the probability that the bus is more than ten minutes late? group of answer choices
If we arrive at the bus stop 5 minutes early , then the probability that the bus is more than 10 minutes late is 5/17 .
The time duration for taking the bus every morning is = 2 minutes early to 15 minutes late ;
We know that the Uniform Distribution has 2 bounds, "a" and "b" ;
So , Probability of finding the value above x is : P(X > x) = (b-x)/(b-a) ;
In this case , the lower bound that is : a = -2 , and the upper bound : b = 15 ;
The probability that the bus is more than 10 minutes late , that is P(X > 10) ;
So , P(X > 10) = (15 - 10)/(15 -(-2)) = 5/17 .
Therefore , the required probability is 5/17 .
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Exercise 14A Water Table Contours:
Locate the point (section 20 south half of the map (encircled) and determine the depth that a well would need to be drilled to access the water table (given the water table contours (see Exercise 14A (Questions 1 and 2)).
In section 20 of the south half of the map, find the contour line that intersects the encircled area. The distance between that contour line and the ground surface represents the required well depth to access the water table.
To locate the point in question, refer to section 20 on the south half of the map where it is encircled. Next, examine the water table contours provided in Exercise 14A. Identify the contour line that intersects with the encircled area. This contour line represents the depth of the water table at that point.
To determine the depth a well would need to be drilled to access the water table, measure the vertical distance from the ground surface to the identified contour line. This measurement corresponds to the required depth for drilling the well.
Therefore, In section 20 of the south half of the map, find the contour line that intersects the encircled area. The distance between that contour line and the ground surface represents the required well depth to access the water table.
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what is the soultion to this equation? 9^x-1=2 A. -1/2 B. 1/2 C. 1 D. 2
What value of will make the triangles similar by the similarity theorem?
As similarity theorem, the value of x that will make the triangles similar by SSS similarity theorem is 77.
Similarity theorem:
In math, similarity theorem refers the line segment splits two sides of a triangle into proportional segments if and only if the segment is parallel to the triangle's third side.
Given,
Here we need to find the t value of will make the triangles similar by the similarity theorem.
For example, we are told that the 2 triangles are similar by SSS theorem.
Here we know that, SSS means Side - Side -Side and it is a congruence theorem which states that the 3 corresponding sides of two triangles have same ratio, then we can say that the two triangles are congruent by SSS theorem
Therefore, in the triangles ,applying the SSS postulate gives;
=> x/35 = 44/20
Then by applying the multiplication property of equality, let us multiply both sides by 35 to get;
=> x = (44 * 35)/20
When we simplify this one then we get,
=> x = 77
Therefore, the value of x is 77.
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What is the simplified form of
p(x)/q(x)
+
r(x)/s(x)
?
The simplified form of given expression is \((p(x)s(x) + r(x)q(x)) / (q(x)s(x)).\)
What is expression?
In mathematics, an expression is a combination of numbers, variables, operators, and/or functions that can be evaluated or simplified. Expressions can represent a variety of mathematical objects, such as numbers, polynomials, equations, and inequalities.
To simplify the expression \((p(x)/q(x)) + (r(x)/s(x))\), we need to find a common denominator for the two fractions.
The common denominator is \(q(x)s(x)\), which means we need to multiply the first fraction by \(s(x)/s(x)\) and the second fraction by \(q(x)/q(x)\):
\((p(x)/q(x)) + (r(x)/s(x)) = (p(x)s(x))/(q(x)s(x)) + (r(x)q(x))/(q(x)s(x))\)
Now that the fractions have a common denominator, we can add them together:
\((p(x)s(x) + r(x)q(x)) / (q(x)s(x))\)
So the simplified form of \((p(x)/q(x)) + (r(x)/s(x))\) is \((p(x)s(x) + r(x)q(x)) / (q(x)s(x)).\)
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Pls help me out with this stupid question
Answer:
138.248cm²
Step-by-step explanation:
Surface area=2πrh + 2πr²
Surface area=2x3.142x2x9+ 2x3.142x2²
Surface area=113.112+25.136
Surface area=138.248cm²
Answer:
Answer:
138.248cm²
Step-by-step explanation:
Surface area=2πrh + 2πr²
Surface area=2x3.142x2x9+ 2x3.142x2²
Surface area=113.112+25.136
Surface area=138.248cm²
"credit goes to unknown76th"
Step-by-step explanation: