solve ~
\( \frac{d}{dx} (2x {}^{2} - 4x + 1) \\ \)
thankyou ~
Answers
\(\huge \rm༆ Answer ༄\)
Here's the solution ~
\({ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \: \dfrac{d}{dx} (2 {x}^{2} - 4x + 1)\)
\({ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \: \dfrac{d}{dx} (2 {x}^{2}) - \dfrac{d}{dx} ( 4x )+ \dfrac{d}{dx} (1)\)
\({ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \: (2 \times 2x {}^{2 - 1} { }^{}) - ( 1 \times 4x ^ {1 - 1})+ (0)\)
\({ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \: (2 \times 2x {}^{} { }^{}) - ( 1 \times 4 ^ {})+ 0\)
\({ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:4x - 4\)
Answer:
\( \sf = > \frac{d}{dx} ( {2x}^{2} - 4x + 1)\)
\( \sf = > \frac{d}{dx} ( {2x}^{2} ) +\frac{d}{dx} ( - 4x) + \frac{d}{dx} (1)\)
\( \sf = > 2\frac{d}{dx} ( {x}^{2} ) + \frac{d}{dx} ( - 4x) + \frac{d}{dx} (1)\)
\( \sf= > 2(2x) + \frac{d}{dx} ( - 4x) + \frac{d}{dx} (1)\)
\( \sf \: = > 4x + \frac{d}{dx} ( - 4x) + \frac{d}{dx} (1)\)
\( \sf \: = > 4x - 4\frac{d}{dx} (x) + \frac{d}{dx} (1)\)
\( \sf = > 4x - 4 \times 1 + \frac{d}{dx} (1)\)
\( \sf \: = > 4x - 4 + 0\)
\( \sf = > 4x - 4\)
Related Questions
divide 4x+2x^3+7x^2-1 by x=-1
Answers
Answer:
12
Step-by-step explanation:
4(1)+2(1)”3+7(1)”2-1
4+2+7-1
12
wait if x=-1 it’s zero
In ΔIJK, the measure of ∠K=90°, KJ = 11, IK = 60, and JI = 61. What is the value of the cosine of ∠J to the nearest hundredth?
Answers
The sine of ∠I is represented by the ratio 63:65
First, let's draw the triangle (see the picture below.)
We need to use it here.
What are trigonometric ratios?-sin = opposite/hypotenuse
-cos = adjacent/hypotenuse
-tan = opposite/adjacent.
Assuming that ∠I is Ф,
we can see that its opposite side is equal to 63 and the hypotenuse is 65. Therefore,
\(sin(I)=\frac{63}{65} \\\\sinI=75^0\)
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Answer:
0.18
Step-by-step explanation:
It’s right bc I got it correct with that answer
Nelson lands 4650 on 2% interest rate. He plans to pay this after 2 months. What will the total principal and interest payment be?
Answers
The total principal and interest payment that Nelson will have to pay after 2 months is $4665.50.
To calculate the total principal and interest payment, we need to determine the interest amount and add it to the principal.
First, let's find the interest amount:
Interest = Principal x Interest Rate x Time
Given:
Principal = $4650
Interest Rate = 2% per year
Time = 2 months
Since the interest rate is given on an annual basis, we need to convert the time from months to years. There are 12 months in a year, so 2 months is equivalent to 2/12 = 1/6 years.
Interest = $4650 x 0.02 x (1/6) = $15.50
Now, we can calculate the total principal and interest payment:
Total Payment = Principal + Interest
Total Payment = $4650 + $15.50 = $4665.50
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The test scores for a group of students are shown.
60, 69, 79, 80, 86, 86, 86, 89, 90, 100
Calculate the five number summary of the data set? Minimum = First Quartile (Q1) = Median = Third Quartile (Q3) = Maximum = What is the interquartile range (IQR) Which test score is an outlier?
60
69
90
100
Answers
Answer:
Minimum=60
First Quartile(Q1)=79
Median=86
Third Quartile (Q3)=89
Interquartile range (IQR)=10
what is the height of h of the triangle?
Answers
Answer:
4.23 feet
Step-by-step explanation:
We need to use the inverse sine function to solve for h. Since sine = opposite / hypotenuse, we can set up the equation like this: sin(30) = h / 25.5. To solve for h, isolate the h by multiplying both sides: h = 25.5 * sin(30). So the height of the triangle is approximately 4.23 feet.
Madeline has a headache and takes 500
milligrams of a pain reliever. The brand
of pain reliever she takes has a half-life
of 2.5 hours. Which function could be
used to describe the amount of pain
reliever remaining in Madeline's system
at any given time?
lol
Answers
Answer:
f(x) = 500(1/2)^x
Did this end up in the wrong category lol
30 POINTS ASAPPPPP!!!!!!!!
Question 1 Part C (2 points): Andrew spends 120 minutes in the gym everyday doing strength training and running on the treadmill. He runs on the treadmill for 60 minutes longer than he does strength training.
Is it possible for Andrew to have spent 80 minutes running on the treadmill if he spends exactly 120 minutes total at the gym and runs on the treadmill for 60 minutes longer than he does strength training? Explain your reasoning.
Answers
It is not possible for Andrew to have spent 80 minutes running on the treadmill if he spends exactly 120 minutes total at the gym and runs on the treadmill for 60 minutes longer than he does strength training.
what is arthematic equation?
Arithmetic equations are mathematical statements that use numbers and arithmetic operations such as addition, subtraction, multiplication, and division to express the relationship between the quantities involved.
Let's assume that Andrew spends x minutes doing strength training, and according to the problem statement, he spends 60 minutes more running on the treadmill than strength training. So the time he spends running on the treadmill is x + 60.
The total time Andrew spends in the gym is 120 minutes, so:
x + (x + 60) = 120
Simplifying this equation, we get:
2x + 60 = 120
2x = 60
x = 30
Therefore, Andrew spends 30 minutes on strength training and (30 + 60) = 90 minutes on the treadmill.
So, it is not possible for Andrew to have spent 80 minutes running on the treadmill if he spends exactly 120 minutes total at the gym and runs on the treadmill for 60 minutes longer than he does strength training.
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no, it's not possible for andrew to have spent 80 minutes running on the treadmill. if we subtract 80 from 120 (the total) we get 40 which means he had to have spent 40 minutes doing strength training but if we subtract 60 (how many more mins he spent on running than he did strength training) minutes from 80 we get 20. he spent 20 minutes on strength training which adds up to 100 minutes, not 120 minutes.
in coin changing problem, show that the greedy strategy fails for the denominations 25, 20, 10, 5, and 1 cents. (hint: prove that we cannot construct the solution by making decisions to choose each item to add to the solution optimally, and never reversing decisions already made
Answers
In coin changing problem, the greedy strategy fails for the denominations 25, 20, 10, 5, and 1 cents.
The greedy algorithm for the coin change problem (pay a certain amount with the fewest number of coins feasible) is effective. It always chooses the coin with the largest denomination that does not exceed the remaining sum, and it consistently determines the right answer for certain coin sets.
But for certain set of denominations, it fails. For example take a sum of 44 cents then by greedy algorithm, first taking the highest denominations one 25 cent is taken and now 19 is remaining. So now one 10 cent is taken, and 9 is remaining. Now, one 5 cent is taken and four 1 cent is taken. So total we get 7 coins.
Now let us deviate from greedy algorithm and take two 20 cents, now 4 is remaining. So now four 1 cent is taken, this sums up only 6 coins. So this is a much optimal solution than the one obtained by greedy algorithm.
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2
Select the correct answer from each drop-down menu.
Explain how the distance of the line segment shown on the graph can be found.
S
6-
2-
O
Draw a right triangle where ST is the hypotenuse and the legs intersect at R. Point R has coordinates of
The length of RS is
and the length of RT is
Using the Pythagorean theorem, the length of ST is approximately
Reset
Next
R(3,1)
R(-2,3)
R(1,5)
R(1,3)
A
Answers
Draw a right triangle where segment ST is the hypotenuse and the legs intersect at R. Point R has coordinates of (1,3). The length of RS is 3, and the length of RT is 2.
Using the Pythagorean Theorem, the length of ST is approximately 3.6 units.
What is the distance between two points?Suppose that we have two points with coordinates \((x_1,y_1)\) and \((x_2,y_2)\). The distance between them is given by the equation presented as follows:
\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
This formula is derived from the Pythagorean Theorem, as the points form a right triangle in the xy-plane, with the hypotenuse being the distance between them.
The coordinates of S and T are given as follows:
S(-2, 3) and T(1,5).
Then the coordinates at which their sides intersect is given as follows:
R(1,3).
The sides of the right triangle are given as follows:
RT = 5 - 3 = 2.RS = 1 - (-2) = 1 + 2 = 3.Then, applying the Pythagorean Theorem, the length of ST is of:
ST² = 2² + 3²
ST = square root(13)
ST = 3.6 units.
Missing InformationThe problem is given by the image shown at the end of the answer.
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. (0.5 point) We simulate the operations of a call center that opens from 8am to 6pm for 20 days. The daily average call waiting times are reported below for these 20 simulated days: 24.16 20.17 14.60 19.79 20.02 14.60 21.84 21.45 16.23 19.60 17.64 16.53 17.93 22.81 18.05 16.36 15.16 19.24 18.84 20.77 Due to a budget cut, the call center has now to downsize and the simulation model is used to predict the effect. We again simulate the call center for 20 days and now the daily average call waiting times are: 19.81 18.39 24.34 22.63 20.20 23.35 16.21 21.73 17.18 18.98 19.35 18.41 20.57 13.00 17.25 21.32 23.29 22.09 12.88 19.27 Compute a 95% t-confidence interval to decide if the change in the call waiting time is statistically significant.
Answers
Answer:
The 95% t-confidence interval for the difference in mean is approximately (-2.61, 1.16), therefore, there is not enough statistical evidence to show that there is a change in waiting time, therefore;
The change in the call waiting time is not statistically significant
Step-by-step explanation:
The given call waiting times are;
24.16, 20.17, 14.60, 19.79, 20.02, 14.60, 21.84, 21.45, 16.23, 19.60, 17.64, 16.53, 17.93, 22.81, 18.05, 16.36, 15.16, 19.24, 18.84, 20.77
19.81, 18.39, 24.34, 22.63, 20.20, 23.35, 16.21, 21.73, 17.18, 18.98, 19.35, 18.41, 20.57, 13.00, 17.25, 21.32, 23.29, 22.09, 12.88, 19.27
From the data we have;
The mean waiting time before the downsize, \(\overline x_1\) = 18.7895
The mean waiting time before the downsize, s₁ = 2.705152
The sample size for the before the downsize, n₁ = 20
The mean waiting time after the downsize, \(\overline x_2\) = 19.5125
The mean waiting time after the downsize, s₂ = 3.155945
The sample size for the after the downsize, n₂ = 20
The degrees of freedom, df = n₁ + n₂ - 2 = 20 + 20 - 2 = 38
df = 38
At 95% significance level, using a graphing calculator, we have; \(t_{\alpha /2}\) = ±2.026192
The t-confidence interval is given as follows;
\(\left (\bar{x}_{1}- \bar{x}_{2} \right )\pm t_{\alpha /2}\sqrt{\dfrac{s_{1}^{2}}{n_{1}}+\dfrac{s_{2}^{2}}{n_{2}}}\)
Therefore;
\(\left (18.7895- 19.5152 \right )\pm 2.026192 \times \sqrt{\dfrac{2.705152^{2}}{20}+\dfrac{3.155945^2}{20}}\)
(18.7895 - 19.5125) - 2.026192*(2.705152²/20 + 3.155945²/20)^(0.5)
The 95% CI = -2.6063 < μ₂ - μ₁ < 1.16025996668
By approximation, we have;
The 95% CI = -2.61 < μ₂ - μ₁ < 1.16
Given that the 95% confidence interval ranges from a positive to a negative value, we are 95% sure that the confidence interval includes '0', therefore, there is sufficient evidence that there is no difference between the two means, and the change in call waiting time is not statistically significant.
211 is 500% of what number
Answers
Answer: 42.2
Step-by-step explanation:
500/100 = 5
211/5 = 42.2
Answer:
It is 42.2!
Step-by-step explanation:
You divide 211 by 5 and get 42.2
So, 211 is 500% of 42.2! :D
Have a great day!
Choose the sentence that is equivalent to the following statement:
Among any two consecutive positive integers, there is at least one integer that is not prime.
a. If x and y are positive integers, then x is not prime and y is not prime.
b. If x and y are positive integers, then x is not prime or y is not prime.
c. If x is a positive integer, then x is not prime and x 1 is not prime.
d. If x is a positive integer, then x is not prime or x 1 is not prime.
Answers
Answer:
bbbbbbbb
Step-by-step explanation:
bbbbbbbbb;bbbbbbbvvvbbbbb;vvvvvvvvvvvvvv
10. If the numbers -2.5, -1.6,-310-10and -0.5 were graphed on a number line, which would appear farthest to the left?
-1.6
10
-2.8
4
Answers
Explanation: a number line goes from right to left with the negative numbers to the left and the positive numbers to the right. Since -2.8 is a smaller number than -1.6 and farther away from 0, it would be farther to the left.
,____,____,_____,_____,_____,_____,
-2.8 -1.6 0 4 6 8 10
Hopefully this diagram helps.
o III. Read each passage and make a conclusion about it (5 POINTS EACH) 1. Video gaming is one of the largest industries in America. Each day more and more children are getting addicted to video games. There have many video game opponents accusing the industry of becoming too violent. It is not uncommon to play a shoot em up game where ten people are getting killed every minute. Yet, despite societal pressure to eliminate violent video games, as each day passes, more games are getting hooked. 2. He had always wanted to serve the country, but this seemed like madness. He was supposed to fight in a war in a foreign land, helping to protect people whom he did'nt know. Angelo had a strong sense of patriotism, but he was worried about the bombs, death and carnage that could await him in Iraq. He pondered whether he would ever see his family again.
Answers
Answer:
come india
Step-by-step explanation:
ok
HELP!
The Sum of three consecutive odd integers is 93 Find the integers
Answers
Therefore, the three consecutive odd integers that add up to 93 are 33, 35, and 37.
Find the integers?The sum of three consecutive odd integers is 93. This means that the integers must be odd numbers that come after each other in order.If we look at this problem another way, we can say that the integers must add up to 93.Since odd integers only come in odd numbers, we can divide 93 by 3 to get 31.This means that the three consecutive odd integers must add up to 31 each.Starting with the first integer, we can see that it must be an odd number that is divisible by 3. The first odd integer that is divisible by 3 is 33. Now that we have the first integer, we can use this number to find the other two.To do this, we must add 2 to 33 to get 35. This is the second integer. To get the third integer, we must add 2 to 35 to get 37.To learn more about the integers refer to:
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what's the common denominator 1/8 and 9/5
Answers
Answer:
40
Step-by-step explanation:
8: 8, 16, 24, 32, 40
5: 5, 10, 15, 20, 25, 30, 35, 40
They have 40 in common so that's the lcd.
The denominator of both fractions are 8 and 5 so the lowest common multiple or common denominator will be 40.
What is the lowest common multiple?The lowest common multiple is the smallest multiple which is common between any two numbers.
It means we can divide both numbers by that and that is the smallest number by which both dived.
For example, LCM of 2 and 8 is 8.
As per the given fractions, 1/8 and 9/5
The multiple of 8 = 8,16,24,32,40
Multiple of 5 = 5,10,15,20,25,30,35,40
Common lowest multiple = 40
Hence "The denominator of both fractions are 8 and 5 so the lowest common multiple or common denominator will be 40".
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QUESTION IN PICTURE
Please explain your answer in steps, thank you.
Answers
We can complete the blanks with the following ratios:
(7.5 mi/1) * (1 mi/ 5280 ft) * (400ft/1 yd) * (3 ft/1 ft) =33 flags
Since we do not need a flag at the starting line, then 32 flags will be required in total.
How to obtain the number of flagsTo solve the problem, we would first convert 400 yds to feet and miles.
To convert to feet, we multiply by 3. This gives us: 400 yd * 3 = 1200 feet.
To convert to miles, we would have 0.227 miles.
Now, we divide the entire race distance by the number of miles divisions.
This gives us:
7.5 mi /0.227 mi
= 33 flags
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Need help placing in correct spot
Answers
The angles that are 118 degrees are ∠1 , ∠3, ∠5 and ∠7.
How to find angles in parallel lines?When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angles, alternate exterior angles, vertically opposite angles etc.
Therefore, let's find the angle relationship in the line and find the angles that are 118 degrees.
Hence,
∠3 = 180 - 62 = 118 degrees(angles on a straight line)
∠1 ≅ ∠3 (vertically opposite angles)
∠7 ≅ ∠3 (alternate interior angles)
∠5 ≅ ∠7 (vertically opposite angles)
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2x+15=x/2-3
Can someone solve for x and show the answer step by step?
Answers
Answer:
\(2x + 15 = \frac{x}{2} - 3\)
Move the variable
\(4x + 30 = x - 6\)
\(4x - x + 30 = - 6\)
Collect like terms
\(4x - x = - 6 - 30\)
\(3x = - 6 - 30\)
\(3x = - 36\)
Divide both sides by three
\(x = - 12\)
Choose the correct word to fill in the blank.
In circle C below, ∠BAD is a(n) _______.
minor arc
inscribed angle
major arc
central angle
Answers
The correct word to fill in the blank in the statement In circle C below, ∠BAD is a(n) is inscribed angle
How to determine the word that fills the blankGiven the circle
The angle BAD is an inscribed angle
An inscribed angle in a circle is an angle formed by two intersecting chords of the circle where the vertex of the angle is on the circle itself. The intercepted arc of an inscribed angle is the arc that lies between the endpoints of the two chords that form the angle.
The measure of an inscribed angle is half the measure of its intercepted arc. This property is known as the inscribed angle theorem.
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d = 8.1h
The variable h represents the number of hours spent walking dogs, and the variable d
represents the amount of money earned. How many hours in all will it take Janelle to earn a
total of $19.44?
Answers
Answer:
2.4 hours or 2 hours, 24 minutes
Step-by-step explanation:
19.44 = 8.1h
h = 2.4
Which of the following measure variability? Select all that apply.
a. mean
b. median
c. range
d. variance
e. standard deviation
f. interquartile range
Answers
(c) range, (d) variance, (e) standard deviation and (f) interquartile range measure variability.
Of the options provided, the measures that assess variability are:Range, The range is the difference between the largest and smallest values in a dataset, indicating how spread out the data are.
Variance, The variance measures how far a set of numbers is spread out from their average. It provides a measure of how much the individual data points deviate from the mean.
Standard deviation, The standard deviation is the square root of the variance and is also a measure of how much the individual data points deviate from the mean. It is a widely used measure of variability, particularly in statistical analysis.
Interquartile range, The interquartile range (IQR) is the difference between the third and first quartiles of a dataset. It gives an idea of the spread of the middle 50% of the data and can help identify outliers.
The mean and median are measures of central tendency and do not directly measure variability.
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Find the area of the figure. 5in 2in 4in 5in
Answers
Answer: Your answer is 23.5in²
Hope it helped :D
Good Luck!
Construct a polynomial function with the following properties fifth degree, 3 is a zero of multiplicity 3, - 4 is the only other zero, leading coefficient is 3
Answers
The polynomial function with the given properties is; y = 2(x - 3)³(x + 4)²
How to construct polynomial functions?Polynomials are defined as algebraic expressions that consist of variables, coefficients, and constants. The standard form of polynomials has mathematical operations such as addition, subtraction, and multiplication.
We need to form a polynomial expression with the following properties;
fifth-degree, 3 is a zero of multiplicity 3, −4 is the only other zero and ,the leading coefficient is 3. Thus, the polynomial will be;
y = 2(x - 3)³(x + 4)²
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4. A hiker covers in the first hour of his hike 6 km, in the second hour 9 km and in the third hour 7 km. What was his average speed during the hike
Answers
Answer: 7 km per hour
Step-by-step explanation:
shi i may be wrong but im pretty sure thats his average speed
Jermaine kicked a soccer ball at a speed of 24 feet per second. If the ball never leaves the ground, then it can be represented by the function H(t) = −16t2 + 24t. Determine the time the ball traveled. (1 point) t = 24 seconds t = 8 seconds t = 1.5 seconds t = 0.67 seconds
Answers
The time that the ball traveled is given as follows:
1.5 seconds.
How to obtain the time traveled by the ball?The quadratic function determining the ball's height after t seconds is given as follows:
H(t) = -16t² + 24t.
The roots of the quadratic function in this problem are given as follows:
-16t² + 24t = 0.
16t² - 24t = 0
8t(2t - 3) = 0.
Hence we apply the factor theorem as follows:
8t = 0 -> t = 0.2t - 3 = 0 -> 2t = 3 -> t = 1.5.Hence the time is given as follows:
1.5 - 0 = 1.5 seconds.
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What are the X and y intercepts?
Answers
Answer:
2,1
Step-by-step explanation:
11. Write in the expanded notation : (a) 85, 33, 48, 925 (b) 8, 25, 38, 201 (c) 2,00, 00, 63, 670 (d) 8,57,00, 07, 005 class 5
Answers
please mark this answer as brainlist
Aldo rented a truck for one day. There was a base fee of $18.95, and there was an additional charge of 87 cents for each mile driven. Aldo had to pay $183.38 when he returned the truck. For how many miles did he drive the truck?
Answers
Answer:
about 198 miles
Step-by-step explanation:
183.38
- 18.95
_______
164.45 divided by .87 is 198.0229885057
scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of 13. use empirical rule to determine the following:
a) what percentage of people has an IQ score between 61 and 139?
b) what percentage of people has IQ score less than 87 or greater than 113?
c) what percentage of people has an IQ score greater than 113?
Answers
Using the Empirical Rule, the percentages are given as follows:
a) 99.7%.
b) 32%.
c) 16%.
What does the Empirical Rule state?It states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.Item a:
61 and 139 is within 3 standard deviations of the mean, hence the percentage is of 99.7%.
Item b:
87 and 113 is within one standard deviation of the mean, hence 68% of the data is within this interval and 100 - 68 = 32% of the data is outside this interval.
Item c:
Considering that the normal distribution is symmetric, and item b, this percentage is of 32%/2 = 16%.
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