Answer:
The simplified expression is given as
\(8x^2y^4(17x^2-2)\)
Step-by-step explanation:
step one:
Given the expression
\(x^2y^4(x^2 - 16) - 9y^4(x^4 - 16)\)
step two:
First, let us open the bracket we have
\(x^2y^4(x^2 - 16) - 9y^4(x^4 - 16)\\\\x^4y^4-16x^2y^4-9x^4y^4+144x^4y^4\\\\\)
step three:
collect like terms we have
\(x^4y^4-16x^2y^4-9x^4y^4+144x^4y^4\\\\x^4y^4-9x^4y^4+144x^4y^4-16x^2y^4\\\\-8x^4y^4+144x^4y^4-16x^2y^4\\\\136x^4y^4-16x^2y^4\\\\\\\)
step four:
we can now factor out \(8x^2y^4\)we have
\(8x^2y^4(17x^2-2)\)
Please help.
Algebra.
Answer:
The answer is sometimes.
If the two lines have the same slope, then there will be 0 solutions, and if the two lines are the same, then there will be infinite solutions.
Hope this helps!
Help please (: :). .
Answer:37.68
Brainliest pls
Answer:
The circumference of the circle is 75.36cm
Step-by-step explanation:
There are two ways you can solve this, one is by using the radius and multiplying it by 2 and then pi which is 3.14, and the other is to use the diameter which is the radius times 2, and the thingy gave you the diameter, and you multiply it by 3.14 which is pi
Find the values of a and b that make f continuous everywhere.
f(x) =
(x2 − 4)/(x − 2) if x < 2
ax2 − bx + 3 if 2 ≤ x < 3
2x − a + b if x ≥ 3
The values of a and b that make f(x) continuous everywhere are a = 2x and b = 2a - 3/2 = 2(2x) - 3/2 = 4x - 3/2.
What is the limit?The limit is a concept in mathematics that describes the behavior of a function near a particular value, called the limit point. The limit of a function gives the value that the function approaches as the input (variable) approaches the limit point.
For f(x) to be continuous everywhere, the function must have the same value and the same limit as x approaches 2 from the left and the right. In other words, f(2-) = f(2+) and the limit of f(x) as x approaches 2 from the left and the right must be equal.
Let's start by finding f(2-), which is the value of f(x) as x approaches 2 from the left. In this case, f(x) = (x2 - 4)/(x - 2) for x < 2, so as x approaches 2 from the left, f(x) approaches (2^2 - 4)/(2 - 2) = 0.
Next, let's find f(2+), which is the value of f(x) as x approaches 2 from the right. In this case, f(x) = ax^2 - bx + 3 for 2 <= x < 3, so as x approaches 2 from the right, f(x) approaches a(2^2) - b(2) + 3 = 4a - 2b + 3.
Since f(x) must be continuous at x = 2, we need to have f(2-) = f(2+), so we can set f(2-) = f(2+) and solve for a and b:
0 = 4a - 2b + 3
2b = 4a - 3
b = 2a - 3/2
Now that we have an expression for b in terms of a, we can substitute b = 2a - 3/2 into the expression for f(x) for x >= 3 to find the value of a that makes f(x) continuous everywhere:
f(x) = 2x - a + b for x >= 3
f(x) = 2x - a + (2a - 3/2) for x >= 3
f(x) = 2x + 3/2 - a for x >= 3
Since f(x) must be continuous at x = 2, we need to have f(2+) = f(2+), so we can set f(2+) = f(2+) and solve for a:
4a - 2b + 3 = 2x + 3/2 - a for x >= 3
4a - 2(2a - 3/2) + 3 = 2x + 3/2 - a
4a - 4a + 3 + 3/2 = 2x + 3/2 - a
3/2 = 2x + 3/2 - a
a = 2x
So, the values of a and b that make f(x) continuous everywhere are a = 2x and b = 2a - 3/2 = 2(2x) - 3/2 = 4x - 3/2.
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Please answer by September 7th
Please answer please please answer need the answer
Please help due today!
Answer:
Polygon
Concave
Irregular
given the diagram below, what is COS(45º)?
Answer:
1 / \(\sqrt{2}\)
Step-by-step explanation:
In a 45,45,90 triangle, the two legs of the triangle are equal to each other and the hypotonus being x \(\sqrt{2}\). So that make the unknown sides 6 and 6\(\sqrt{2}\). When solving for cos(45) you divide the leg adjacent to the 45 (6) by the hypotonus (6\(\sqrt{2}\)) This gives you 6/6\(\sqrt{2}\). You can simplify the 6s to get 1 / \(\sqrt{2}\)
Explanation:
This is a 45-45-90 right triangle, aka isosceles right triangle.
The two legs are 6 units each, because the legs of isosceles triangles are the same length.
The hypotenuse is 6*sqrt(2) through the use of the pythagorean theorem.
From here we can say:
\(\cos\left(\text{angle}\right) = \frac{\text{adjacent}}{\text{hypotenuse}}\\\\\cos\left(45^{\circ}\right) = \frac{6}{6\sqrt{2}}\\\\\cos\left(45^{\circ}\right) = \frac{1}{\sqrt{2}}\\\\\)
It turns out that the '6' has nothing to do with the final answer, since the '6's cancel out. So we could change that 6 to any number we want, and the answer would still be the same.
Side note: Rationalizing the denominator will have \(\frac{1}{\sqrt{2}} = \frac{\sqrt{2}}{2}\)
its in the file below
According to the information we can infer that Dora's conclusion may be incorrect because the information provided only states that the number of people who spent time reading falls within specific ranges (0-2 hours, 2-4 hours, and 2-10 hours), but it does not give a specific count for those who spent at least 4 hours. Therefore, Dora's assumption that "most people spent at least 4 hours a week reading" is not supported by the given data.
How to calculate the range of the time that Dora's friends spent reading?The range of the time spent reading cannot be determined from the information provided because the ranges are overlapping. For example, a person who spent exactly 2 hours reading could fall into both the first range (0-2 hours) and the second range (2-4 hours). Without more specific data or non-overlapping ranges, it is not possible to determine the exact range of time spent reading.
To estimate the mean time spent reading by Dora's friends, we can calculate the midpoint of each range and use it as an approximate value. The midpoint for the first range (0-2 hours) is 1 hour, for the second range (2-4 hours) is 3 hours, and for the third range (2-10 hours) is 6 hours. We can then calculate the estimated mean by taking the weighted average of these midpoints using the respective number of people as weights.
Estimated mean = [(4 * 1) + (5 * 3) + (11 * 6)] / (4 + 5 + 11) = 4.53 hours (approximately)
So, an estimate of the mean time spent reading by Dora's friends is approximately 4.53 hours.
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Evaluate yz + x² x=3.2, y=6.1, z=0.2
Answer:
Step-by-step explanation:
To evaluate the given expression, we need to substitute the given values for x, y, and z. The expression becomes:
yz + x²
Substituting the given values, we get:
(6.1 * 0.2) + (3.2^2)
This simplifies to:
1.22 + 10.24
Therefore, the value of the expression is approximately 11.46.
11.46
gimme brainlyest gang
Giveing 15 points.Use the rectangle to find the measure of the following angles measure ane BAC=25
1) All angles of a rectangle are right angles, so the measure of angle CBA is 90 degrees.
2) Since all angles of a rectangle are right angles, angle BAD measures 90 degrees. Subtracting the 25 degrees of angle BAW from this, we get that angle CAD has a measure of 65 degrees.
3) Opposite sides of a rectangle are parallel, so by the alternate interior angles theorem, the measure of angle ACD is 25 degrees.
4) Because diagonals of a rectangle are congruent and bisect each other, this means BW=WA. So, since angles opposite equal sides in a triangle (in this case triangle ABW) are equal, the measure of angle ABW is 25 degrees. This means that the measure of angle CBD is 90-25=65 degrees.
5) In triangle AWB, since angles in a triangle add to 180 degrees, angle BWA measures 130 degrees.
6) Once again, since diagonals of a rectangle are congruent and bisect each other, AW=WD. So, the measures of angles WAD and ADW are each 65 degrees. Thus, because angles in a triangle (in this case triangle AWD) add to 180 degrees, the measure of angle AWD is 50 degrees.
A newspaper provided a​ snapshot illustrating poll results from 1910 professionals who interview job applicants. The illustration showed that​ 26% of them said the biggest interview turnoff is that the applicant did not make an effort to learn about the job or the company. The margin of error was given as percentage points. What important feature of the poll was​ omitted?.
Confidence level feature of the poll was ​ omitted
To find the what important feature of the poll was ​ omitted?.
The illustration showed that 26% of applicants said the biggest interview turnoff is that the applicant did not make an effort to learn about the job or the company.
The margin of error was given as plus or minus 3 percentage points.
The important feature of the poll that was omitted was - confidence level.
The percent of all samples that are included in the true population parameter is given by a confidence level.
Confidence interval defines the probability that the given population parameter will fall within a specific range of values.
Mathematically we can express the scenario as :
Sample size is given as 1910 professionals
Point estimate is 26%
Confidence level is not given.
Confidence interval is plus or minus 3 percent around 26%.
Hence, Confidence level feature of the poll was ​ omitted.
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Choose the correct answer.
The length of the frame needed for the given scenery is:
A. 75
B.150
C.100
Answer:
it should be 100 I hope this helps
Answer:
c is answer
hope it help u
The table below shows how the length of Alex's
lizard changes over time.
Age
(years)
Length
(centimeters)
1
1
5.0
2.
7.4
3
9.8
4
12.2
5
14.6
What is the slope of the table?
Answer: The domain is all possible inputs and the inputs in this are {1, 2, 3, 4, 5}
Step-by-step explanation:
Inputs(Domain) 1, 2, 3, 4, 5 Outpust (Range) 5.0, 7.4, 9.8, 12.2, 14.6
2. Combine Like terms:
4a + 5-a + 2
Answer:
it is a anwser
Step-by-step explanation:
To develop in series according to its powers x the function:
f:D->R, f(x)=\(\frac{1}{x^{2} +2x-3`}\), specify the domain of definition of f
The domain of the definition of the function is (-∝, 3) ∪ (1, ∝)
How to determine the domain of definition of fFrom the question, we have the following function that can be used in our computation:
f(x) = 1/x² + 2x - 3
Set the denominator to 0
So, we have the following representation
x² + 2x - 3 = 0
Expand the equation
x² + 3x - x - 3 = 0
Factorize the equation
(x + 3)(x - 1) = 0
Solve for x
x = -3 or x = 1
This means that the value of x cannot be -3 or 1
So, the domain is (-∝, 3) ∪ (1, ∝)
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Close ties between the members of the group typically are formed during which stage of group development? a. Storming b. Adjourning c. Norming d. Forming
Close ties between the members of the group typically are formed during the norming stage of group development.
The norming stage of group development is the third stage, where the group begins to establish a sense of cohesion and unity. During this stage, members start to accept each other's ideas and opinions, develop relationships with one another, and establish patterns of communication and interaction. As a result of these positive developments, close ties between the members of the group often begin to form.
In the norming stage, group members also start to identify common goals and work together to achieve them. This shared sense of purpose can further strengthen the bonds between group members and contribute to the formation of close ties.
Overall, the norming stage is an important period of transition for groups as they move from the early stages of forming and storming to a more cohesive and productive group dynamic. The close ties formed during this stage can help to foster a supportive and collaborative environment that benefits the group as a whole.
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Given the equation y = 3(2)x
Regarding the exponential function y = 3(2)^x, we have that:
We know that the graph has a y-intercept at (0,3), because the a-value is of 3.We know that the graph models exponential growth, because the b-value is of 2.The numeric value of the function at x = 3 is given as follows: 24.What is the exponential function?An exponential function is defined as follows:
y = ab^(x/n).
In which the parameters are defined as follows:
a is the initial value.b is the rate of change.n is the time needed for the rate of change.The function for this problem is given as follows:
y = 3(2)^x.
Hence the parameters are given as follows:
a = 3 -> y-intercept at (0,3).b = 2 > 1, hence exponential growth.At x = 3, the numeric value of the function is obtained as follows:
y = 3 x 2^3
y = 3 x 8
y = 24.
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What is the solution to x6 - 6x 5 + 15x4 - 20x3 + 15x2 - 6x +1 0?
x = 0
X = 1
all real numbers
all real numbers except zero
Answer:
all real numbers
Step-by-step explanation:
Answer:
all real numbers
Step-by-step explanation:
The answer is all real numbers on Edge. (VERIFIED Edge Answer)
Make sure to click "thanks" and rate this answer to let others know this is the correct answer for this question.
Edge Tip: Answers do not mix or change.
Nick has an album that holds 700 stamps. Each page of the album holds 7 stamps. If 47% of the
album is empty, how many pages are filled with stamps
Answer:
371 pages are filled with stamps
Step-by-step explanation:
100 - 47 = 53
53/100 * 700 = 371
Hence 371 pages are filled with stamps
A point is plotted on a horizontal number line.The absolute value of the number represented by the point is 6.If the point is to the left of 0, then the point is located at_______.If the point is to the right of 0, then the point is located at_______.Whether the point is to the left or right of 0, the distance from 0 to the point is ____units.
Answer:
A point is plotted on a horizontal number line.The absolute value of the number represented by the point is 6.If the point is to the left of 0, then the point is located at -6.If the point is to the right of 0, then the point is located at 6.Whether the point is to the left or right of 0, the distance from 0 to the point is 6 units.
Step-by-step explanation:
Have a good day :)
A rectangle has perimeter 20 m . Express the area of the rectangle as a function of the length of ones its side.
Answer:
A = 10W - W²
Step-by-step explanation:
Perimeter of a rectangle = 2(L+W)
Area of a rectangle =LW
L is the length
W is the width
Given
Perimeter = 20m
20 = 2 (L+W)
10 = L+W
L = 10 - W ....2
Substitute equation 2 into the formula for calculating the area
Recall that A = LW
A = (10-W)W
A = 10W - W²
Hence the area of the rectangle as a function of the length of ones its side is expressed as A = 10W - W²
suppose you wish to compare the average class size of mathematics classes to the average class size of english classes in your high school. which is the most appropriate technique for gathering the needed data.
The most appropriate technique for gathering data on the average class size of "mathematics" classes and "English" classes in a "high-school" would be (d) Observational study.
In an "observational-study", the researcher simply observes and records the data without manipulating any variables.
In this case, the researcher would observe and record the class sizes of mathematics and English classes in the high school. This technique is appropriate because it allows for a comparison between the two types of classes without any interference or manipulation from the researcher.
The Census is used to collect data from an entire population, which may not be feasible or necessary in this case.
The "Sample-Surveys" involve collecting data from a subset of the population, but it may not be representative of the entire population.
The Experiments involve manipulating variables, which is not necessary in this case.
Therefore, the correct option is (d).
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The given question is incomplete, the complete question is
Suppose you wish to compare the average class size of mathematics classes to the average class size of English classes in your high school. Which is the most appropriate technique for gathering the needed data?
(a) Census
(b) Sample survey
(c) Experiment
(d) Observational study.
help on math will give brain list middle school question not high school
Answer: 5, | 4 |, | -1 |, -2
Answer:
0, l-1l, l-2l, l4l, 5
Step-by-step explanation:
The absolute value bars l l, turn any negative number positive and any positive number remains positive.
will give brainliest !!PLSS HELP fast !! and explain
Answer:
C
Step-by-step explanation:
Difference means subtraction. That makes B incorrect.
D is wrong because we have no way of knowing if g and h are squares.
A is wrong because the numerical numbers (2 and 6) are not perfect squares. Even if you take out a 2 you are not left with numbers that are prefect squares.
That leaves with C which is the correct answer. The literals are perfect squares and so are the numbers.
Answer:
C
Step-by-step explanation:
Find the derivative of the function. y = 10 1+6e-0.9t y' = 10-1 0.9t 2 BURU 1 + 6e 0+6e-0.9t - 0.9 X
To find the derivative of the function y = 10/(1 + 6e^(-0.9t)), we can use the quotient rule of differentiation.
The quotient rule states that if we have a function of the form f(x) = g(x)/h(x), then the derivative of f(x) is given by:
f'(x) = (g'(x)h(x) - g(x)h'(x)) / (h(x))^2
Applying the quotient rule to the given function:
y = 10/(1 + 6e^(-0.9t))
Let g(t) = 10 and h(t) = 1 + 6e^(-0.9t)
Now, let's find the derivatives of g(t) and h(t):
g'(t) = 0 (since g(t) is a constant)
h'(t) = -6 * (-0.9) * e^(-0.9t) = 5.4e^(-0.9t)
Now, substitute the derivatives into the quotient rule formula:
y' = (g'(t)h(t) - g(t)h'(t)) / (h(t))^2
= (0 * (1 + 6e^(-0.9t)) - 10 * 5.4e^(-0.9t)) / (1 + 6e^(-0.9t))^2
= (-54e^(-0.9t)) / (1 + 6e^(-0.9t))^2
Therefore, the derivative of the function y = 10/(1 + 6e^(-0.9t)) is y' = (-54e^(-0.9t)) / (1 + 6e^(-0.9t))^2.
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The first cup was $4. 25 each refill is $2. 25 and a bagel is $3. 15 and got two refills and $0. 50 discount how much was spent
The total amount spent was $11.40.
To find out how much was spent, we need to add up the cost of the first cup, the cost of the refills, and the cost of the bagel, and then subtract the discount. Here's how to do it step-by-step:
1. Start with the cost of the first cup: $4.25
2. Add the cost of the refills: $2.25 + $2.25 = $4.50
3. Add the cost of the bagel: $3.15
4. Add up the total cost so far: $4.25 + $4.50 + $3.15 = $11.90
5. Subtract the discount: $11.90 - $0.50 = $11.40
So the total amount spent was $11.40.
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pease help me i'll give you the brainliest
Answer:
732×pi cm³
Step-by-step explanation:
we have all the data and the formula.
so, we only need to do the raw calculations.
Vc = pi×r²×h/3
r = the radius of the basic circle
h = the height.
since the volume of the frustum is the volume of the large cone minus the volume of the small cone, we need to calculate both volumes and then subtract the smaller from the larger number.
oh, and we need to calculate also the radius of the base circle of the small cone. since they are similar bodies, all lines use the same ratio or scaling factor to convert from one cone to the other.
that includes height and radius.
we know the height of the large cone is 16+4=20 cm.
and set know that the height of the small cone is 16 cm.
so, the scaling factor is 16/20 = 4/5 to go from the large to the small cone.
that means that the radius of the small cone is
15 × 4/5 / 3×4 = 12 cm
so, now to the 2 cone volumes :
the large cone
Vcl = pi×15²×20/3 = pi×225×20/3 = pi×75×20 =
= pi×1500 cm³
the small cone
Vcs = pi×12²×16/3 = pi×144×16/3 = pi×48×16 =
= pi×768 cm³
the volume of the frustum is therefore
Vf = Vcl - Vcs = 1500×pi - 768×pi = 732×pi cm³
Hope it Helps
Mark me as brainliest please
What is 1/100 of 1.9 ?
Answer:
0.019Step-by-step explanation:
1/100 = 1%
Do 1% of 1.9
and you get =
0.019Hope this helps! <3
Answer:
0.019
Step-by-step explanation:
1/100=0.01
0.01×1.9=0.019
Determine whether the following equence i an arithmetic or geometric progreion. Give a reaon for your anwer. 100p,50p,25p,
Answer:
Geometric.
Step-by-step explanation:
It is Geometric because there is a common ratio between the terms.
50p/100p = 1/2
25p/50p = 1/2
The common ratio is 1/2.
Each term is obtained by multiplying by 1/2, so the next term in this progression is 25p * 1/2 = 12.5p.
Find a Doctor, is a small startup that helps people find a physician that best meets their needs (location, insurance accepted, etc) During a "slow time for them, they have 9 staff members taking calls from customers. On average, one call arrives every 5 minutes (standard deviation of 5 minutes). Each staff member spends on average 18 minutes with each customer (with a standard deviation of 27 minutes) Round your answer to 2 decimal places) How long does a customer spend on average waiting on hold before they can start speaking to a representative? Minutes
On average, a customer spends approximately 1.16 minutes waiting time on hold before they can start speaking to a representative.
To find the average waiting time for a customer on hold before they can start speaking to a representative, we need to consider both the arrival rate of calls and the average service time of the staff members.
Given:
9 staff members taking calls.
On average, one call arrives every 5 minutes (standard deviation of 5 minutes).
Each staff member spends on average 18 minutes with each customer (with a standard deviation of 27 minutes).
To calculate the average waiting time, we need to use queuing theory, specifically the M/M/c queuing model. In this model:
"M" stands for Markovian or memoryless arrival and service times.
"c" represents the number of servers.
In our case, we have an M/M/9 queuing model since we have 9 staff members.
The average waiting time for a customer on hold is given by the following formula:
Waiting time = (1 / (c * (μ - λ))) * (ρ / (1 - ρ))
Where:
c = number of servers (staff members) = 9
μ = average service rate (1 / average service time)
λ = average arrival rate (1 / average interarrival time)
ρ = λ / (c * μ)
First, let's calculate the average arrival rate (λ):
λ = 1 / (average interarrival time) = 1 / 5 minutes = 0.2 calls per minute
Next, calculate the average service rate (μ):
μ = 1 / (average service time) = 1 / 18 minutes = 0.0556 customers per minute
Now, calculate ρ:
ρ = λ / (c * μ) = 0.2 / (9 * 0.0556) ≈ 0.407
Finally, calculate the waiting time:
Waiting time = (1 / (c * (μ - λ))) * (ρ / (1 - ρ))
= (1 / (9 * (0.0556 - 0.2))) * (0.407 / (1 - 0.407))
≈ 1.16 minutes
Therefore, on average, a customer spends approximately 1.16 minutes waiting on hold before they can start speaking to a representative.
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