The given function is f(x) =We have to find the average slope value of f(x) on the interval [0, 2).The average slope value of f(x) is given by:f(2) - f(0) / 2 - 0 = f(2) / 2So, we need to calculate f(2) first.f(x) =f(2) =Therefore,f(2) / 2 = (13/2) / 2 = 13/4. The average slope value of f(x) on the interval [0, 2) is 13/4.
Now we will use the Mean Value Theorem so that f '(c) = the average slope value. The Mean Value Theorem states that if a function f(x) is continuous on the closed interval [a, b] and differentiable on the open interval (a, b), then there exists at least one point c in (a, b) such that:f'(c) = f(b) - f(a) / b - aLet a = 0 and b = 2, then we have f'(c) = f(2) - f(0) / 2 - 0f'(c) = 13/2 / 2 = 13/4.
Therefore, there exists at least one point c in (0, 2) such that f '(c) = the average slope value = 13/4.2.
We are supposed to find the absolute maximum and minimum values of f(x) on the interval [0, 2].To find the critical points of the function, we need to differentiate f(x).f(x) =f'(x) =The critical points are given by f '(x) = 0:2x / (1 + x²)³ = 0x = 0 or x = ±√2But x = -√2 is not in the given interval [0, 2].
So, we only have x = 0 and x = √2 to check for the maximum and minimum values of the function.
Now we create the following table to check the behaviour of the function:f(x) is increasing on the interval [0, √2), and decreasing on the interval (√2, 2].
Therefore,f(x) has a maximum value of 5/2 at x = 0. f(x) has a minimum value of -5/2 at x = √2.
Hence, the absolute maximum value of f(x) on the interval [0, 2] is 5/2, and the absolute minimum value of f(x) on the interval [0, 2] is -5/2.
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Find the best approximation to a solution of the following systems of equations. What the value for x? 4x 2y = 0 x +y = 11 -2 2 1
The best approximation to a solution of the system of equations is x = -11 and y = 22.
A system of equations is a collection of two or more equations with the same variables. Solving a system of equations means finding the values of the variables that satisfy all the equations in the system.
In this case, you have a system of two equations:
4x + 2y = 0 and x + y = 11.
To find the best approximation to a solution of the system, we can use substitution or elimination methods.
First, we can isolate one of the variables in one of the equations.
=> 4x + 2y = 0.
Dividing both sides by 2, we get:
=> 2x + y = 0.
Now we have one equation in terms of one variable, which is y.
Next, we can substitute the expression for y from this equation into the second equation:
=> x + y = 11.
Replace y with -2x
=> x + (-2x) = 11.
=> -x = 11.
=> x = -11.
Finally, we can substitute the value for x back into one of the original equations to find the value of y.
Let's substitute x = -11 into the first equation:
=> 4(-11) + 2y = 0.
=> -44 + 2y = 0.
=> 2y = 44.
=> y = 22.
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evaluate 10-(5-(4-(8-2))
=》The answer is 3.
Steps are in the attachment.
______
Hope it helps :)) ⚜
Answer:
The answer is 3
Step-by-step explanation:
By using PEMDAS, calculate the parenthesis first.
10-(5-(4-(8-2))
10-(5-(4-6)
10-(5-(-2)
10-7
= 3
when 2 polinomials of same deegree has to be divided then what should be considered to fix the divident and diviser
Answer:
In order to find the remainder two polynomials of same degree are divided.
Step-by-step explanation:
Hope this will help you :)
If the price of a goods is increase RM 45 after increasing 15% from the original price. Find the original price of the goods.
The original price of the goods was RM 39.13
How to find the original price of the goods?
Suppose that the original price is P, if we have an increase of x (where x is the decimal form of a percentage) the new price will be given by:
P' = P*(1 + x)
In this case the percentage is 15%, then x = 15%/100% = 0.15
Now we know that the final price is RM 45, then we can write the equation:
45 = P*(1 + 0.15)
45 = P*1.15
Solving this for P:
P = 45/1.15 = 39.13
The original price was RM 39.13
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find each sum. The large square represents 1, the larger rectangle represents 0.1 and the smaller rectangle represents 0.001.
Spanish: Siento algo que me mueve
Un ritmo que me hace bailar
Tomen todos su pareja
Todos vamos a gozar
Baila, baila esta cumbia
Mueve, mueve la cintura
Todos, las manos en alto
Y griten, griten con locura
Baila, baila esta cumbia
Un ritmo, ritmo sin igual
Nadie se quede sentado
Todos vamos a bailar
Siento algo que me mueve
Un ritmo que me hace bailar
Tomen todos su pareja
Todos vamos a gozar
Baila, baila esta cumbia
Mueve, mueve la cintura
Todos, las manos en alto
Y griten, griten con locura
¡Hey!, ¡hey!, ¡hey!, ¡hey!
¡Hey!, ¡hey!, ¡hey!, ¡hey!
¡Hey!
Baila, baila esta cumbia
Un ritmo, ritmo sin igual
Nadie se quede sentado
Todos vamos a bailar
Baila, baila esta cumbia
Un ritmo, ritmo sin igual
Nadie se quede sentado
Todos vamos a bailar
Baila, baila esta cumbia (baila esta cumbia conmigo)
Un ritmo, ritmo sin igual
Nadie se quede sentado (mueve la cintura)
Todos vamos a bailar
Baila, baila esta cumbia
Un ritmo, ritmo sin igual
Nadie se quede sentado (baila esta cumbia conmigo)
Todos vamos a bailar
Baila, baila esta cumbia (mueve la cintura)
Un ritmo, ritmo sin igual
Englis:I feel something that moves me
A rhythm that makes me dance
Take all your partner
We are all going to enjoy
Dance, dance this cumbia
Move, move your waist
Everyone, hands up
And scream, scream with madness
Dance, dance this cumbia
A rhythm, rhythm like no other
No one stay seated
We are all going to dance
I feel something that moves me
A rhythm that makes me dance
Take all your partner
We are all going to enjoy
Dance, dance this cumbia
Move, move your waist
Everyone, hands up
And scream, scream with madness
Hey! Hey! Hey! Hey!
Hey! Hey! Hey! Hey!
Hey!
Dance, dance this cumbia
A rhythm, rhythm like no other
No one stay seated
We are all going to dance
Dance, dance this cumbia
A rhythm, rhythm like no other
No one stay seated
We are all going to dance
Dance, dance this cumbia (dance this cumbia with me)
A rhythm, rhythm like no other
Nobody stay seated (move the waist)
We are all going to dance
Dance, dance this cumbia
A rhythm, rhythm like no other
Nobody stay seated (dance this cumbia with me)
We are all going to dance
Dance, dance this cumbia (move your waist)
A rhythm, rhythm like no other
Which of the following numbers are rational, but NOT integers?
Select one or more:
a.√33
b.8.4
c.3/4
d.0
Answer:
0
Step-by-step explanation:
Zero is a rational number, and we know that the integer 0 can be written in any one of the following forms. ... Thus, 0 can be written as, where a/b = 0, where a = 0 and b is any non-zero integer. Hence, 0 is a rational number and not an integer.
For which values of a and does the following system of equations have a) Unique solution? 5) Infinitely many solutions? c) No solution?
An values of a and does the following system of equations
a) Unique solution: ad - bc ≠ 0
b) Infinitely many solutions: ad - bc = 0 and (c/e) = (f/b)
c) No solution: ad - bc = 0 and (c/e) ≠ (f/b)
To determine the number of solutions for a system of equations, to examine the coefficients of the variables and the constant terms denote the system of equations as:
Equation 1: ax + by = c
Equation 2: dx + ey = f
a) Unique Solution:
The system of equations has a unique solution if the determinant of the coefficient matrix (ad - bc) is nonzero.
If ad - bc ≠ 0, then the system has a unique solution for any values of a and b.
b) Infinitely Many Solutions:
The system of equations has infinitely many solutions if the determinant of the coefficient matrix (ad - bc) equals zero, and the constant terms (c and f) satisfy certain conditions.
If ad - bc = 0 and (c/e) = (f/b), then the system has infinitely many solutions.
c) No Solution:
The system of equations has no solution if the determinant of the coefficient matrix (ad - bc) equals zero, and the constant terms (c and f) do not satisfy the conditions for infinitely many solutions.
If ad - bc = 0 and (c/e) ≠ (f/b), then the system has no solution.
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Mr. o'lear is conducting an experiment that involves 10 plants. he initially determined that the plants had a mean height of 72 centimeters and a mean absolute deviation of 8.5 centimeters. he later discovered that he made two errors in the height measurements of two plants. the table shows the incorrect and the correct measurements of the two plants. incorrect height correct height 65 cm 70 cm 78 cm 73 cm a) what is the correct mean height of the 10 plants? b) what is the correct mean absolute deviation of the 10 plants? c) upload your work to show how you got the answer.
A)The correct mean height of the 10 plants is 72 cm. B)The correct mean absolute deviation of the 10 plants is 1.6 cm.
a) To find the correct mean height of the 10 plants, we need to calculate the sum of the correct heights and divide it by the number of plants. The sum of the correct heights is 72 cm * 10 plants - 65 cm + 70 cm + 78 cm - 73 cm = 720 cm - 65 cm + 70 cm + 78 cm - 73 cm = 720 cm. Therefore, the correct mean height of the 10 plants is 720 cm / 10 plants = 72 cm.
b) To find the correct mean absolute deviation of the 10 plants, we need to calculate the deviations from the correct mean height for each plant, sum them, and divide by the number of plants. The deviations are |65 cm - 72 cm| + |70 cm - 72 cm| + |78 cm - 72 cm| + |73 cm - 72 cm| = 7 cm + 2 cm + 6 cm + 1 cm = 16 cm. Therefore, the correct mean absolute deviation of the 10 plants is 16 cm / 10 plants = 1.6 cm.
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use traces to sketch the surface. 9x2 + 4y2 + z2 = 36
Using these traces, we can sketch the surface as an ellipsoid in three dimensions centered at the origin, with semi-major axis of length 6 along the z-axis, semi-major axis of length 3 along the y-axis, and semi-major axis of length 2 along the x-axis.
To sketch the surface 9x^2 + 4y^2 + z^2 = 36 using traces, we can fix values of x, y, and z and plot the resulting curves. When we fix x = 0, we get 4y^2 + z^2 = 36, which is an ellipse in the yz-plane centered at the origin with semi-major axis of length 6 along the z-axis and semi-minor axis of length 3 along the y-axis.
When we fix y = 0, we get 9x^2 + z^2 = 36, which is also an ellipse in the xz-plane centered at the origin with semi-major axis of length 6 along the z-axis and semi-minor axis of length 2 along the x-axis. When we fix z = 0, we get 9x^2 + 4y^2 = 36, which is a horizontal ellipse in the xy-plane centered at the origin with semi-major axis of length 2 along the x-axis and semi-minor axis of length 3 along the y-axis.
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help please! step by step if possible
9514 1404 393
Answer:
use the formula for slope2/3Step-by-step explanation:
The formula for slope (m) of a line between two points is ...
m = (y2 -y1)/(x2 -x1)
Pick two points from the table and fill in the values. Using the last two table entries, we have ...
m = (7 -5)/(5 -2) = 2/3
The slope is 2/3.
need some help with the question in the image
Answer:
A,because you need to find the percent of 3.5
Step-by-step explanation:
Answer:
see image
Step-by-step explanation:
Use the property to complete the statement.
20. Reflexive Property of Equality: m2D = ?
21. Transitive Property of Congruence:
If PQ = RS and RS = TU, then ? =
Answer:
See step by step. Use the mathematical geometric symbols not the actual words.
Step-by-step explanation:
20. Measurement of angle D
21. PQ is congruent to TU
Andres, Scott, and Tina volunteer to clean up the beach every Saturday. Andres picked up 4kg of garbage in 2hrs, Scott picked up 6 kg of garbage in 2.5 hours, and Tina picked up 3kg of garbage in 1h. We know that Scott picked up the most garbage! Who picked up garbage at the fastest rate?
The person who picked garbage at the fastest rate is Andres.
Who picked garbage at the fastest rate?
Rate is the ratio of the total weight of garbage picked to the total time. The person who picked the most garbage would be the person with the lowest rate.
Rate = total weight / total time
Rate of Andres = 4kg / 2hrs = 2kg/hr
Rate of Scott = 6 / 2.5 = 2.4 kg/hr
Rate of Tina = 3 /1 = 3kg/hr
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-2 - 3a = -23
solve for a
Answer:
A=7
Step-by-step explanation:
Answer:
Hi! The answer to your question is a = 7
Step-by-step explanation:
☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆
☁Brainliest is greatly appreciated!☁
Hope this helps!!
- Brooklynn Deka
Of the 84 parents who attended a meeting at a school, 35 volunteered to supervise children during the school picnic and 11 volunteered both to supervise children during the picnic and to bring refreshments to the picnic. If the number of parents who volunteered to bring refreshments was 1.5 times the number of parents who neither volunteered to supervise children during the picnic nor volunteered to bring refreshments, how many of the parents volunteered to bring refreshments
Answer:
The number of parents who volunteered to bring refreshments is 16.
Step-by-step explanation:
The information provided is:
N = 84
n (S) = 35
n (S ∩ R) = 11
n (R) = 1.5 × n (S' ∪ R')
Compute the value of n (S ∪ R) as follows:
\(n(S\cup R)=n(S)+n(R)-n (S\cap R)\\\\n(S\cup R)=n(S)+[1.5(N-n(S\cup R)]-n (S\cap R)\\\\n(S\cup R)=n(S)+1.5N-1.5n(S\cup R)-n (S\cap R)\\\\2.5n(S\cup R)=n(S)+1.5N-n (S\cap R)\\\\2.5n(S\cup R)=35+(1.5\times84)-11\\\\2.5n(S\cup R)=150\\\\n(S\cup R)=\frac{150}{2.5}\\\\n(S\cup R)=60\)
Now compute the value of n (R) as follows:
\(n (R) = 1.5 \times n (S' \cup R') \\\\n (R) = 1.5 \times [N-n (S \cup R)]\\\\n (R) = 1.5 \times [84-60]\\\\n(R)=16\)
Thus, the number of parents who volunteered to bring refreshments is 16.
A plumber notices a faucet leaking of a rate of 2 milliliters per second.
What is the rate of the leak in liters per hour?
Answer:
it is 7200 Liters
Step-by-step explanation:
Brainliest?
TRUE/FALSE. if new data will be collected (i.e., primary data collection), the researcher can easily recruit an adequate number of participants.
If new data will be collected (i.e., primary data collection), the researcher can easily recruit an adequate number of participants is false.
What is statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Given,
We need to check whether if new data will be collected (i.e., primary data collection), the researcher can easily recruit an adequate number of participants is true or false.
The given statement is false because Primary data collection is a process of collecting original data, directly from the source.
Hence, if new data will be collected (i.e., primary data collection), the researcher can easily recruit an adequate number of participants is false.
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lost-time accidents occur in a company at a mean rate of 0.3 per day. what is the probability that the number of lost-time accidents occurring over a period of 7 days will be exactly 3? assume poisson situation. p(x
The probability that the number of lost-time accidents occurring over a period of 7 days will be exactly 3 is 0.7295
Binomial Distribution
The binomial distribution is the sum of a series of multiple independent and identically distributed Bernoulli trials. In a Bernoulli trial, the experiment is said to be random and can only have two possible outcomes- success or failure.
In a binomial distribution the probability of getting success must remain the same for the trials we are investigating. For example, when tossing a coin, the probability of flipping a coin is ½ or 0.5 for every trial we conduct, since there are only two possible outcomes.
Mean rate of lost time accident = 0.3 per day
probability that the number of lost-time accidents occurring over a period of 7 days will be no more than 3.
n = 7
Using binomial distribution formula :
P(x ≤3)
Probability of success (p) = 0.3
1 - p = 1- 0.3 = 0.7
nCx * p^x * (1 - p)^(n-x)
Using the binomial probability distribution calculator to save computation time :
P(x ≤3) = P(x = 0) + p(x = 1) + p(x = 2) + p(x = 3)
P(x ≤3) = 0.0403 + 0.1556 + 0.2668 + 0.2668
P(x ≤3) = 0.7295
0.7295
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Zoe has a collection of 56 seashells. Then, she goes on a 3-day beach vacation and finds 12 new seashells each day. Which expression tells you the total number of seashells in Zoe's collection after her vacation? 56+(3+12) or 56+(3times12)
Guys I really need help my report card is coming next Friday i really need help
but good luck
Step-by-step explanation:
Can anyone help me ASAP!
Answer:
73 units
Step-by-step explanation:
I'm pretty sure
Answer:
8.5
Step-by-step explanation:
Since you have two sides you just need to use the Pythagorean theorem.
\(x^2+b^2=c^2\\3^2+8^2=\\9+64=73\\c^2=73\\c=\sqrt{73} \\c=8.5\)
Peter can mow the lawn in 40 minutes and John can mow the lawn in 60 minutes. How long will it take for them to mow the lawn together?
Using technology, determine the quarterly payment on a 4 year loan of $16,231 at 5.1% compounded quarterly. round your answer to the nearest cent. a. $1,125.69 c. $1,518.85 b. $1,127.86 d. $1,508.31
The quarterly payment will be $1,127.86
What is compound interest?
Compound interest is the interest on a loan or deposit that levied on both the first principal and the collected interest from past periods.
The amortization formula is ...
\(A=\dfrac{P\timesr}{(1-(1+r)^{-n}}\)
where A is the payment amount, P is the principal amount, r is the interest rate per period, and n is the number of periods.
Here, we have
P=$16,231, r=0.051/4=0.01275, n=4·4=16.
So, the payment is ...
\(A=\dfrac{16231\times 0.01275}{1-(1.01275)^{-16}}\)
\(A=$1127.86\)
Hence the quarterly payment amount is $1,127.86.
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A line passes (-8,-2) and has a slope of 5/4. Write an equation in Ax + By=C
Answer:
5x-4y = -32
Step-by-step explanation:
First write the equation in point slope form
y-y1 = m(x-x1)
y - -2 = 5/4 ( x- -8)
y+2 = 5/4 (x+8)
Multiply each side by 4 to clear the fraction
4( y+2 )= 4*5/4 (x+8)
4y +8 = 5(x+8)
4y+8 = 5x+40
Subtract 4y from each side
8 = 5x-4y +40
Subtract 40 from each side
-32 = 5x-4y
5x-4y = -32
Answer:
The answer is
5x - 4y = -32Step-by-step explanation:
To write an equation of a line given a point and slope use the formula
y - y1 = m( x - x1)
where
m is the slope
( x1 , y1) is the point
From the question
slope = 5/4
point (-8 , -2)
So the equation of the line is
\(y + 2 = \frac{5}{4} (x + 8)\)Multiply through by 4
4y + 8 = 5( x + 8)
4y + 8 = 5x + 40
5x - 4y = 8 - 40
We have the final answer as
5x - 4y = -32Hope this helps you
What percent of 24 seconds to 4 hours?
Also can you add them label it would help a lot.
:)
24 seconds is approximately 0.17% of 4 hours. The percentage of 24 seconds to 4 hours, we can start by converting both values to the same units.
To find the percentage of 24 seconds to 4 hours, we can start by converting both values to the same units. One hour is equal to 3600 seconds, so 4 hours is equal to:
4 hours * 3600 seconds/hour = 14,400 seconds
Now we can express the ratio of 24 seconds to 14,400 seconds as a fraction and convert it to a percentage:
(24 seconds / 14,400 seconds) * 100% ≈ 0.17%
Therefore, 24 seconds is approximately 0.17% of 4 hours.
Here's how you could label the calculation:
24 seconds is what percent of 4 hours?
24 seconds / 14,400 seconds = 0.00167 or 0.167%
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2(x-11)+5-1
What is x
Answer:
9
Step-by-step explanation:
2(x-11) + 5-1
We can use the distributive property:
2x - 22 + 5 - 1
We can then simplify:
2x - 18
In this case, if 2x - 18 = 0, then 2x = 18 and x = 9.
Answer:
2x-18
Step-by-step explanation:
\(2(x-11)+5-1\\\)
Expand
\(2\left(x-11\right):\quad 2x-22\)
Slot it into the equation
\(=2x-22+5-1\)
Add/subtract the numbers
\(-22+5-1=-18\\\\=2x-18\)
Write an equation that expresses the following relationship: x varies directly as a and inversely as the difference between y and z. Then solve the equation for y
Write an equation that expresses the given relationship. Use k as the constant of variation.
Answer:
Where is question
Step-by-step explanation:
Sorty
in fiq Q.3 measure the angle which the ladder makes with (I) the ground (2) the wall
Step-by-step explanation:
for measuring the angle use the protractor !
Sharma draws a floor plan of the local supermarket on a coordinate plane.
Part A Which is the location of the dairy?
A : 0, 1)
B : (1, 0)
C : (1, 1)
D : (1, 2)
Part B : What are the coordinators of the bakery in the boxes .
Part C : Bakery , Frozen foods , Dairy , produce ?
Answer:
The answer woupd be B, 1, 0
The dairy is at x = 1 unit and;y = 0 unit thus the coordinate of dairy in the floor plan is at (1,0) thus option (B) will be correct.
What are coordinates?A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane. typically expressed by the x-value and y-value pairs (x,y).
As per the given floor plan,
Th coordinate of dairy is the horizontal and vertical distinctions from the reference axes(0,0).
Since it is 1 unit apart in the x and 0 apart in the y direction.
Thus (1,0) is the right coordinate.
Hence "The dairy is at x = 1 unit and;y = 0 unit thus the coordinate of dairy in the floor plan is at (1,0)".
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In his bank account, Zaire has $90 more than one-fifth the amount of
money that Eathan has in his account. Zaire has $190 in his bank account.
How much money does Eathan have in his account? Show your work
below.
The answer is that Eathan has $500 in his bank account.
How much money does Eathan have in his account?We will assume the amount of money in Eathan's account is "x".
Given that:
Zaire has $90 more than one-fifth of the amount in Eathan's account. So, one-fifth of the amount in Eathan's account is (1/5)x.
So, Zaire has (1/5)x + $90 in his account.
Given that:
Zaire has $190 in his account
We will set up the equation:
(1/5)x + $90 = $190
(1/5)x = $190 - $90
(1/5)x = $100
x = $100 * 5
x = $500.
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