find the first second third and fourth derivative of y is equals to 10x raise to Power 9 + 25 x raise to power 4 + 68 + 6 + 12x raise to power 4
Answers
Answer:
Step-by-step explanation:
The first derivative of the given function y = 10x^9 + 25x^4 + 68 + 6 + 12x^4 is:
dy/dx = 90x^8 + 100x^3 + 48x^3
= 90x^8 + 148x^3
The second derivative of y = 10x^9 + 25x^4 + 68 + 6 + 12x^4 is:
d^2y/dx^2 = 720x^7 + 444x^2
The third derivative of y = 10x^9 + 25x^4 + 68 + 6 + 12x^4 is:
d^3y/dx^3 = 5040x^6 + 888x
The fourth derivative of y = 10x^9 + 25x^4 + 68 + 6 + 12x^4 is:
d^4y/dx^4 = 30240x^5 + 888
Related Questions
order the following rational and irrational numbers from least to greatest
1.25,square root of 2,1 3/8, and 1 3/5
Answers
The ordering of the numbers will be 1.25, 1 3/8, ✓2, 1 3/5 and 1.875.
How to illustrate the information?It should be noted that ✓2 = 1.414
It should be noted that 1 3/8 = 1.375
It should be noted that 1 3/5 = 1.6
The other numbers given are 1.25 and 1.875
Therefore, the ordering of the numbers will be 1.25, 1 3/8, ✓2, 1 3/5 and 1.875.
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A classmate uses the formula for the sum of an infinite geometric series to evaluate 1+1.1+1.21+1.331+ . . . and gets -10 . What error did your classmate make?
Answers
What error did your classmate make? This series is divergent so does not have a sum.
How is the divergence of the series proved?
Given:
\(a(\text{ the first term })=1\\\\r(\text{ the common difference })=1.1\)
Since, \(\vert r \vert > 1\) the infinite series diverges.
What is an infinite geometric series?
The result of an endless geometric sequence is an infinite geometric series.There would be no conclusion to this series.The total of all finite geometric series can be determined.However, if the common ratio of an infinite geometric series is bigger than one, the terms in the sequence will grow steadily larger, and adding the larger numbers together will not yield a solution.To learn more about infinite geometric series, refer:
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Find the value of x in the triangle
Answers
Answer: 68 degrees
Step-by-step explanation:
V is directly proportional to B
V is 15 when B is 10.
Write an equation for this and use it to find the value of B when V = 24
Answers
15_10
24_? criscos 15x=240
x= 240÷15
x=16
Answer:
B = 16
Step-by-step explanation:
Given V is directly proportional to B then the equation relating them is
V = kB ← k is the constant of proportion
To find k use the condition
V = 15 when B = 10
15 = 10k ( divide both sides by 10 )
1.5 = k
V = 1.5B ← equation of proportion
when V = 24 , then
24 = 1.5B ( divide both sides by 1.5 )
16 = B
In which situation may the sample proportion safely be assumed to follow a normal distribution?
Select one:
a. 8 successes in a sample of 72 items.
b. 5 successes in a sample of 20 items.
c. 9 successes in a sample of 200 items.
d. 12 successes in a sample of 500 items.
Answers
Fill in blanks to write the particular equation of this
transformed cosine graph
Answers
Answer:
f ( x ) = -3*cos ( x ) -2
Step-by-step explanation:
Solution:-
The standard generalized cosine function is given in the form:
f ( x ) = a* cos ( w*x - k ) + b
Where,
a: The magnitude of the waveform
w: the frequency of the waveform
k: The phase difference of the waveform
b: The vertical offset of central axis from the origin
To determine the amplitude ( a ) of the waveform. We will first determine the central axis of the waveform. This can be determined by averaging the maximum and minimum values attained. So from graph:
Maximum: 1
Minimum: -5
The average would be:
Central axis ( y ) = [ 1 - 5 ] / 2
= -4 / 2
y = -2
The amplitude ( a ) is the difference between either the maximum value and the central axis or minimum value and the central axis. Hence,
a = Maximum - Central value
a = 1 - (-2)
a = 3
The waveform is inverted for all values of ( x ). That means the direction of amplitude is governed to the mirror image about x-axis. Hence, a = -3 not +3.
The offset of central axis from the x - axis ( y = 0 ) is denoted by the value of ( b ).
b = ( y = -2 ) - ( y = 0 )
b = -2 ... Answer
The frequency of the waveform ( w ) is given as the number of cycles completed by the waveform. The peak-peak distance over the domain of [ 0, 2π ]. We see from the graph is that two consecutive peaks are 2π distance apart. This means the number of cycles in the domain [ 0, 2π ] are w = 1.
The phase difference ( k ) is determined by the amount of "lag" or "lead" in the waveform. This can be determined from the x-distance between x point value of peak and the origin value ( x = 0 ). The peak and the origin coincides with one another. Hence, there is no lag of lead in the waveform. Hence, k = 0.
The waveform can be written as:
f ( x ) = -3*cos ( x ) -2
Whats the answer y’all
Answers
The expressions that will give you a difference of 5 are: -3 - (-8) and 1 - (-4).
What is the Difference of Two Expressions?The difference of two expressions is determined by subtracting one from the other.
Find the difference of each of the expressions given to determine which will give us 5.
-3 - (-8)
= -3 + 8
= 5
-2 - 3 = -5 [this is not the same as 5]
1 - (-4)
= 1 + 4
= 5
7 - (-2)
= 7 + 2
= 9
-3 - (-8) and 1 - (-4) will give us a difference of 5.
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3x^2+9x+27x^3 pls help the ^ means exponent
Answers
Answer:
27x^3+3x^2+9x
Step-by-step explanation:
The word "and" in probability implies that we use the ____ rule.
A. Subtraction
B. Division
C. Addition
D. Multiplication
Answers
The word "and" in probability implies that we use the Multiplication rule.
The correct option is Option D.
What is the Multiplication Rule of Probability?The likelihood of both events A and B occurring, in accordance with the probability multiplication rule, is equal to the product of the probability of B occurring and the conditional probability of event A occurring given that event B occurs.
The relationship between two events is explained by the probability multiplication rule.
Set A∩B represents the events in which both events A and B have occurred for two events A and B related to a sample space S. Consequently, (A∩B) indicates that occurrences A and B happened at the same time. You can write the event A∩B as AB. Using the characteristics of conditional probability, the likelihood of event AB is calculated.
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No links please! And I need this math answer quick
Answers
Answer:
2r-3(r+7)-8r=10(r-1)
2r-3r-21-8r=10r-10
-9r-10r=-10+21
-19r=11
-19/11=r
Step-by-step explanation:
extend the patterns by three steps
Answers
Answer:
Step-by-step explanation:
32, 64, 128
46, 94, 190
82, 73, 62
50, 94, 142
1+3+5+7+9+7+5+3+1, 1+3+5+7+9+11+9+7+5+3+1, 1+3+5+7+9+11+13+11+9+7+5+3+1
8. Alvin purchased $1,300,000 worth of videogame set and made a $150,000 down payment. He agreed to pay the balance by making equal payments at the end of each month for 20 years. What is the size of the monthly payment if the interest charged is 16% compounded quarterly?
Answers
We have a purchase of $1,300,000.
The downpayment is $150,000 and the rest is financed.
We can calculate the amount that is owed as:
\(\begin{gathered} C=1,300,000-150,000 \\ C=1,150,000 \end{gathered}\)This amount will be paid in equal amounts, monthly for 20 years.
The interest rate is 16% compounded quarterly.
We have to start by converting the interest rate in a monthly-compounded equivalent rate.
A rate of 16% compounded quarterly (m=3) will be equivalent to a monthly rate r. We can calculate r as:
\(\begin{gathered} (1+r)^{12}=(1+\frac{0.16}{3})^3 \\ (1+r)^4=1+\frac{0.16}{3} \\ (1+r)^4\approx1+0.05333 \\ 1+r\approx1.0533^{\frac{1}{4}} \\ r\approx1.013-1 \\ r\approx0.013 \end{gathered}\)We then can calculate the payments as an annuity with r = 0.013 and 20*12 = 240 payments.
We can calculate the amount he will pay each month as:
\(\begin{gathered} P=\frac{r\cdot PV}{1-(1+r)^{-n}} \\ P=\frac{0.013\cdot1150000}{1-(1+0.013)^{-240}} \\ P=\frac{14950}{1-1.013^{-240}} \\ P=\frac{14950}{1-0.045} \\ P=\frac{14950}{0.955} \\ P=15654.45 \end{gathered}\)Answer: the monthly payment is approximately $15654.45.
a notebook is 8 inches tall and 10 inches wide what is its area?
Answers
Answer:
i think 18
Step-by-step explanation:
b) You watch a roulette wheel spin 210 consecutive times and the ball lands on a red slot each time. What is the probability that the ball will land on a red slot on the next spin
Answers
The probability of the ball landing on a red slot on the next spin is still 18/38 or approximately 0.4737 or 47.37%.
The probability of the ball landing on a red slot on a single spin of a standard roulette wheel is 18/38 or approximately 0.4737 or 47.37%. This is because there are 18 red slots out of a total of 38 slots on the wheel.
The outcome of the previous 210 spins has no effect on the probability of the ball landing on a red slot on the next spin. Each spin is an independent event, and the probability of the ball landing on a red slot remains the same for each spin.
Therefore, even though the ball has landed on a red slot for the past 210 spins, the probability of it landing on a red slot on the next spin is still 18/38 or approximately 0.4737 or 47.37%.
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Identify the following scatter plots as having a positive correlation,
negative correlation, or no correlation. Explain your reasoning.
Need help ASAP!!!
Answers
The given scatterplot has no correlation. This is because there is no pattern among the dots on the scatterplot.
What is correlation?Correlation is a measure that is used in statistics to measure the linear relationship that exists between two variables. Correlation can either be positive, negative or zero. The closer the correlation coefficient is to one, the higher the correlation.
Positive correlation is when two variables move in the same direction. When drawn on a scatterplot, the line of best fit is upward sloping. The coeffect of correlation for positive correlation is always positive.
Negative correlation is when two variables move in different directions. When drawn on a scatterplot, the line of best fit is downward sloping. The coeffect of correlation for negative correlation is always negative.
Zero correlation or no correlation is when there is no relationship between the variables. When drawn on a scatterplot, there is no discernible patterns among the variables.
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Suppose that you and other students in your school participate in a fundraising event that is
trying to raise money for new PE equipment. The school starts with $2000 in donations. Then,
each student must raise at least $45 in pledges. If the estimate for all of the new PE
equipment was $15,250, how many students would need to participate in the fundraiser for
the school to be able to afford all of the new equipment?
Answers
On solving the provided question, we cans ay that by unitary method, 295 students would need to participate in the fundraiser for the school to be able to afford all of the new equipment
What is unitary method ?The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.
school starts with $2000 in donations
remaining amount = 15250-2000 = $13250
each student gives = $45
by unitary method,
so, no. of students = 13250/45 = 295 students
295 students would need to participate in the fundraiser for the school to be able to afford all of the new equipment
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Find the parametric equations for the line of the intersection L of the two planes. x+y−z=2 and 3x−4y+5z=6.
Answers
Therefore, the parametric equations for the line of intersection are: x = t; y = 22 - 8t; z = 20 - 7t.
To find the parametric equations for the line of intersection, we can solve the system of equations formed by the two planes.
The given equations of the planes are:
x + y - z = 2
3x - 4y + 5z = 6
We can choose one variable as the parameter and express the remaining variables in terms of that parameter.
Let's choose the variable x as the parameter. From equation (1), we can express y in terms of x and z:
y = 2 - x + z
Now, substitute the expression for y into equation (2):
3x - 4(2 - x + z) + 5z = 6
Simplifying the equation:
3x - 8 + 4x - 4z + 5z = 6
7x + z = 20
Express z in terms of x:
z = 20 - 7x
Now we have the parameter x and expressions for y and z in terms of x. The parametric equations for the line of intersection are:
x = t (where t is the parameter)
y = 2 - t + (20 - 7t)
z = 20 - 7t
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In each part, give the list of invariant factors for all abelian groups of the specified order: a.) order 80 b.) order 3969 c.) order 70 d.) order 22500
Answers
a) For an abelian group of order 80, the invariant factors are \(2^4,\) \(2^3\), \(2^2\), 2, and 5. These correspond to the elementary divisors of the group.
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b) For an abelian group of order 3969, the invariant factors are \(3^4\), \(3^3\),\(3^2\), 3, \(7^2\), 7, and 1. These represent the elementary divisors of the group.
c) For an abelian group of order 70, the invariant factors are 2 * 5 * 7, 2 * 5, 2 * 7, 5 * 7, 2, 5, 7, and 1. These are the elementary divisors of the group.
d) For an abelian group of order 22500, the invariant factors are \(2^2\) * \(3^2\) * \(5^4\), \(2^2\) *d)
For an abelian group of order 22500, the invariant factors are \(2^2\) * \(3^2\) * \(5^2,\)d) For an abelian group of order 22500, the invariant factors are \(2^2\) * \(3^2\) * \(5^2,\) \(2^2\) * \(5^2,\), \(2^2\) * d)
For an abelian group of order 22500, the invariant factors are \(2^2\) * \(3^2\) , \(5^2,\),d) For an abelian group of order 22500, the invariant factors are \(2^2\) * \(3^2\) , \(2^2\) , 5, 3, and 1. These represent the elementary divisors of the group.
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...................help
Answers
Graph the following quadratic equation y=5x^2
Answers
Given:
\(y=5x^2\)We have the graph below:
Can any kind soul help me ASAP
Answers
Answer:
Step-by-step explanation:
pls HELP QUICKLY!! WILL GIVE BRAINILEST!
What is the relationship between the lines with the following equations?
2x+8y=16
y=4x+7
The lines are perpendicular.
The lines are parallel.
The lines are neither parallel nor perpendicular.
The lines are the same
Answers
Answer:
the lines are perpendicular
Step-by-step explanation:
you can simplify 2x+8y=16 so thats how i got the lines are perpendicular
PLS HELP WILL GIVE BRAINIEST!!!!!
Answers
Cashier 2: 3 people?
Each of 4 gift bags contains X pencils. Tyler adds 3 more pencils to each bag. Altogether, the gift bags contain 36 pencils. What is the answer as an equation
Answers
Hello and Good Morning/Afternoon
Let's take this problem step-by-step:
Let's consider the information given:
there are 4 gifts bags that contain 'x' pencilTotal number of pencils = 4 * x = 4x
3 more pencils are added to each bagTotal number of pencils = 4 * (x + 3)
in total there are 36 pencils4(x+3) = 36
Answer: 4(x+3) = 36
Hope that helps!
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Solve −4(2x − 1) = −6(x + 2) − 2. (1 point)
(a)−5
(b)5
(c)9
(d)−9
Answers
Answer:
c. 9
Step-by-step explanation:
-8x+4=-6x-12-2
-8x+6x=-12-2-4
-2x=-18
2x=18
x=18/2
x=9
Answer:
C. \(9\)
Step-by-step explanation:
\(-4(2x -1) = -6(x +2) -2 \\ -8x +4 = -6x -12 -2 \\ -8x +4 = -6x -14 \\ -8x +4 +6x = -6x -14 +6x \\ - 2x +4 = -14 \\ - 2x +4 -4 = -14 -4 \\ -2x = -18 \\ \frac{-2x}{-2} = \frac{-18}{-2} \\ x = 9\)
Which of the following choices correctly identifies the following Q-Q plots for the normality of residuals assumption? Select one.
Two graphs, A and B, shown side by side. Both graphs share the same axis labels and values. The x-axis is labeled "Theoretical quantiles" and values go from negative three to three. Each tick mark represents one. The y-axis is labeled "Sample quantiles" and values go from negative three to three. Each tick mark represents one. In both graphs, a red line runs from point negative 3 comma 3 up to 3 comma 3. Both graphs contain a series of blue points, but they differ in how well those points approximate the line. In Graph A, the blue dots start around the coordinate negative three comma negative two. The series of blue dots approaches the line around the coordinates negative one comma negative one. The blue dots waver a little above and below the line as the x-value increases. In Graph B, the blue dots are a much closer fit to the red line throughout the graph. They start much closer to the red line and only deviate slightly at the top-right of the graph, around the coordinates two comma two.
1. Both graphs show residuals with a distribution that is not Normal.
2. Graph B shows residuals with a distribution that more closely approximates a Normal distribution than Graph A.
3. Graphs A and B both show residuals with distributions that closely approximate a Normal distribution.
4. Graph A shows residuals with a distribution that more closely approximates a Normal distribution than Graph B.
Answers
The correct identification is that Graph B shows residuals with a distribution that more closely approximates a Normal distribution than Graph A.
Graph B shows residuals with a distribution that more closely approximates a Normal distribution than Graph A.
In the given description, Graph B is described as having blue dots that are a much closer fit to the red line throughout the graph, except for slight deviations at the top-right of the graph. This indicates that the points in Graph B align more closely with the theoretical line, suggesting a closer approximation to a Normal distribution.
On the other hand, Graph A is described as having blue dots that start around the coordinate negative three, negative two, and approach the line around the coordinate negative one, negative one. Additionally, the description mentions that the blue dots waver a little above and below the line as the x-value increases. This implies that the points in Graph A do not align as closely with the theoretical line as in Graph B, indicating a lesser approximation to a Normal distribution.
The correct identification is that Graph B shows residuals with a distribution that more closely approximates a Normal distribution than Graph A.
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I WILL GIVE BRAINLIST!!! PLEASE ANSWER
Answers
Answer:
19/90
Step-by-step explanation:
Please help with this congruence question
Answers
Answer: it B i did it in class
Step-by-step explanation:
In 1960 the population of Indoneia wa 88 million in 2010 the population of Indoneia wa 240 million etimate the population in 2016 if the rate of if the rate of increae doe not change
Answers
1.75% is rate of increse does not change.
What's the math rate?
An unusual ratio in which the two parts are expressed in distinct units is called a rate. The price is 69 for 12 ounces, for instance, if a 12-ounce can of maize costs that much.
This is not a proportion of two comparable units, like shirts. This ratio combines the values of the two dissimilar units, cents and ounces.
1960 = 88,000,000
2010 = 242,000,000
formula: (new-old)/old* 100
(242,000,000 - 88,000,000)/88,000,000 * 100
154,000,000/88,000,000*100
1.75*100
= 1.75%
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Find the solution to the following system by substitution.
4x + y = 40
y = 4x
OA. (0,40)
OB. (5,20)
O C. (10,40)
D. (10,0)
