What is the derivative of sech u with respect to x?
Answer:
[tex]\displaystyle \frac{dy}{dx} = -u'sech(u)tanh(u)[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Step-by-step explanation:
*Note:
This is a known derivative (apply trigonometric differentiation).
Step 1: Define
Identify
[tex]\displaystyle y = sech(u)[/tex]
Step 2: Differentiate
Hyperbolic Differentiation [Derivative Rule - Chain Rule]: [tex]\displaystyle y' = -u'sech(u)tanh(u)[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
Five times a number decreased by 8 is less than 37. Write an algebraic inequality to represent this situation. Then solve algebraically & graph.
Answer:
5x - 8 < 37 and x < 9
Step-by-step explanation:
again, sorry if it's wrong.
5x - 8 < 37
+8 +8
5x < 45
---- -----
5 5
x < 9
What is the value of 0X4 ?
WILL GIVE BRAINLIEST
Step-by-step explanation:
is they fhour the repondet
Answer:
B. 0! x 4 = 4
Step-by-step explanation:
0! is equal to 1 so
1 times 4 is 4
So the answer is
Which explicit formula is equivalent to ?
WILL GIVE BRAINLEST
Answer:
c i think
Step-by-step explanation:
if im wrong a if its geometric and c if its arithmetic
i will mark brainliest !! write an exponential function for the set of points. picture is below
Answer:
[tex]y = 6(2^{x} )[/tex]
Step-by-step explanation:
Let
[tex]y = kb^{x}[/tex]
When x = 0, y = 6. So, [tex]6 = kb^{0}[/tex] = k(1 ) = k
Since k = 6 we have [tex]y = 6b^{x}[/tex]
When x = 1, y = 12.
So [tex]12 = 6b^{1} = 6b[/tex]
b = 2
Therefore, the exponential function is [tex]y = 6(2^{x} )[/tex]
find the slopes of the line
Answer:
1/4
Step-by-step explanation:
An airline claims that its average taxi time is 15 minutes, and the standard deviation is 1.4 minutes. The taxi time has a bell/mound shape distribution. On a flight with this airline, you observe that the taxi time is 18 minutes. Calculate the z score for your flight's taxi time. Round the final answer to 2 decimal places.
Answer:
The z score for your flight's taxi time is of 2.14.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
An airline claims that its average taxi time is 15 minutes, and the standard deviation is 1.4 minutes.
This means that [tex]\mu = 15, \sigma = 1.4[/tex]
On a flight with this airline, you observe that the taxi time is 18 minutes. Calculate the z score for your flight's taxi time.
This is Z when [tex]X = 18[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{18 - 15}{1.4}[/tex]
[tex]Z = 2.14[/tex]
The z score for your flight's taxi time is of 2.14.
You can convert the variate which tracks heights of trees to standard normal variate. That value of standard normal variate is called the z score and shows the area of the considered area in the plot of the standard normal distribution.
The z score for our flight's taxi time is approx 2.14286
How to convert a normal distribution variate to standard normal distribution variate?Suppose you have got a normal distribution variate with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] (let the variate is denoted by X), then we have
[tex]X \sim N(\mu, \sigma)[/tex]
To convert it to standard normal distribution with mean 0 and the standard deviation as 1 ( [tex]Z \sim N(0,1)[/tex] ), we have:
[tex]Z = \dfrac{X - \mu}{\sigma}[/tex]
For the given case we have:
Let the average taxi time be tracked by random variable X, then, as the mean time is 15 minutes, and the standard deviation 1.4 minutes , thus,
[tex]X \sim N(15, 1.4)[/tex]
Converting it to standard variate:
[tex]Z = \dfrac{X - 15}{1.4}[/tex]
Since the observed taxi time was 18 minutes, thus, we have X = 18,
Getting the z score:
[tex]Z = \dfrac{18 - 15}{1.4} = \dfrac{3}{1.4} \approx 2.14286[/tex]
Thus,
The z score for our flight's taxi time is approx 2.14286
Learn more here about normal distribution here:
brainly.com/question/14989264
ASAP PLS HELP MARKING BRAINLIEST WITH POINTS PLSSSS
The sum of two numbers is twenty-one. One number is nineteen less than four times the other. Find the numbers.
9514 1404 393
Answer:
8, 13
Step-by-step explanation:
The given relationships can be put into two equations. Let x and y represent the numbers.
x + y = 21 . . . . . their sum is 21
y = 4x -19 . . . . .one is 19 less than 4 times the other
__
Substituting for y in the first equation, we get ...
x + (4x -19) = 21
5x = 40 . . . . . . . . . add 19
x = 8 . . . . . . . . . . . divide by 5
y = 4(8) -19 = 13
The two numbers are 8 and 13.
Determine the axis of symmetry of the Quadratic equation.
A. y=2
B. X=2
C. X=0
D. y=1
Answer:
option B : X=2
Step-by-step explanation:
Because the line U touches on X:2
A teacher evenly distributes 7 packages of markers to 3 groups of students.
Which two of the following represents how many packages of marker each
group receives?
A. 7/3
B. 3/7
C. 2 ⅓
D. 2.1
E. 21
Answer:
Step-by-step explanation:
2 1/3
helppppp!!!!!!!!!!!plz
Answer:
the answer is point A it's the first one point A
Answer: One of your answers are right. (B and A)
Step-by-step explanation: The opposite of positive 2 will be negative 2, and -2 is at Point A.
Find the value of x.
60
3x
O A. 60
B. 10
O C. 20
D. 30
Answer:
the answer is D. 30
Step-by-step explanation:
I got it wright
Simply 2(×+4)+3(×-4)
Answer:
5x - 4
Step-by-step explanation:
In this question, you have to simplify the expression.
Solve:
2(x + 4) + 3(x - 4)
Use the distributive property.
2x + 8 + 3(x - 4)
2x + 8 + 3x - 12
Combine like terms.
5x + 8 - 12
5x - 4
Since there is no more similar terms, we are left with our final answer.
Your answer would be 5x - 4
Which ordered pair is a solution of y>2x-3?
A. (-1,-5)
B. (1,-5)
C. (2,3)
D. (2,-2)
Answer:
C. (2, 3)Step-by-step explanation:
Given
y > 2x - 3Substitute the values to verify which is correct
A. (-1, -5)
-5 > 2(-1) - 3 ⇒ - 5 > -5 FalseB. (1, -5)
-5 > 2(1) - 3 ⇒ -5 > -1 FalseC. (2, 3)
3 > 2(2) - 3 ⇒ 3 > 1 TrueD. (2, -2)
-2 > 2(2) - 3 ⇒ - 2 > 1 FalseAnswer:
we have
y>2x-3
now
For
A. (-1,-5)
-5>-2-3
-5>-5
It is equal. So false.
B. (1,-5)
-5>2-3
-5>-1
-1 is not greater than -5
So false
For
C. (2,3)
3>2-3
3>-1
3 is greater than -1
So True
For
D. (2,-2)
-2>2-3
-2>-1
-2 is not greater than -1
So false
A line with a slope of -4 passes through the point (-6,2). Which of the following is the equation of the line?
1) y = -6x - 4
2) y = 2x - 4
3) y = 4x + 2
4) y = -4x - 22
When factoring a expression, what's the easiest way to find a GCF
Answer:
Almost the same way you normally find it! :D
Step-by-step explanation:
To get the GCF multiply all common factors. You can use the greatest common factor to simplify fractions. A ratio is an expression that tells us the quotient of two numbers
78 - 24 : (14 - 6) X 2
Answer:
ehfrbff rf rh g5e
Step-by-step explanation:
fnebghrbgy5gty5hfegwrnfybgrvthr4yftbgryibr4th45f94ny7rfjhyrjfrhvgruf
Answer:
3 3/8 or 3.375
Step-by-step explanation:
simplify
54:8x2
54/16
3 3/8
An article describes a study in which a new type of ointment was applied to forearms of volunteers to study the rates of absorption into the skin. Eight locations on the forearm were designated for ointment application. The new ointment was applied to five locations, and a control was applied to the other 3. How many different choices were there for the five locations to apply the new ointment
Answer:
There were 56 different choices for the five locations to apply the new ointment.
Step-by-step explanation:
The order of the locations in which the new ointment was applied is not important. So we use the combinations formula to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
How many different choices were there for the five locations to apply the new ointment
Five locations from a set of 8. So
[tex]C_{8,5} = \frac{8!}{5!(8-5)!} = 56[/tex]
There were 56 different choices for the five locations to apply the new ointment.
Review: Jen sells flowers. She charges $2 per flower plug a $3 flat delivery fee. How much will she make if she has to deliver 6 flowers?
Answer:
$30
Step-by-step explanation:
Answer:
$15 dollars
Step-by-step explanation:
We know that Jen sells flowers. We also know that she charges $2 dollar per flower plus a $3 dollar delivery fee.
The question is asking how much will Jen make if she sells 6 flowers. Since every flower costs 2 dollars, we can multiply the cost and amount.
6 * 2
12.
Jen makes 12 dollars just by the flower, and now the delivery fee which is an extra 3 dollars.
12 + 3
$15
-7r2 + 7r + 2 = 2
Find Discriminant
Answer:
r = 1 , 0
Step-by-step explanation:
-7[tex]r^{2}[/tex] + 7r + 2 = 2
-7r(r-1)=2-2
-7r(r-1)=0
r-1=0
r=1
factor as the product of 2 binomials x² -10x + 21 =
Answer:
(x - 7) (x - 3)
Step-by-step explanation:
Did u want the actual answer? Cuz if u do I could do that too, jus lemme kno
Answer:
( X - 7) (X-3)
What is 8/12 + A/12=2/b
Answer:
A = -4
B = 12
Step-by-step explanation:
A is -4 because 8 - 4 is 2. B is 12 because both of the denominators are 12 so the answer's denominator should also be 12.
Hope it helps!
Match these together
1 similar figure
2 congruent
3 corresponding sides
4 corresponding angles
a. angles that have the same measure are _______.
b. sides in the same relative position. In similar figures they are proportional.
c. Figures with the same shape but no necessarily the same size
d. angles in the same relative position. in similar figures they are congruent
Find the solutions to the equation x^2 + 9x - 10 = 5x + 11
A medium of exchange ?
A.) People are willing to hold onto it because they’re confident that it will keep its value over time.
B.) Money simplifies the exchange process because it’s a mean of indicating how much something costs.
C.) To use money to buy the goods and services you want.
Answer:
B
Step-by-step explanation:
0.06 divided by 0.6 what is it
Answer:
0.1
Step-by-step explanation:
Answer:
0.1
Step-by-step explanation:
0.06 divided by 0.60 = 0.1
At a bake sale, the soccer team had 50 packs of cookies to sell. At the end of the sale, they had 5 packs left.
What FRACTION of the cookies were sold?
Answer:
45/50= 9/10
Step-by-step explanation:
If 5 packs were left after the sale, then 50-5=45 is the number of packs sold
Then the fraction sold would be the number of packs sold divided by the total number of packs.
45 sold/50 total
Explain your answer
Thank you so much !
Will give brainlst
Answer:
D
Step-by-step explanation:
The amount of oil and natural gas a given region produces is not always proportionate to the size of its proven reserves. For example, the Middle East contains approximately 50 percent of the world’s proven reserves but accounts for only about 30 percent of global oil production (though this figure is still higher than in any other region). The United States, by contrast, lays claim to less than 2 percent of the world’s proven reserves but produces roughly 16 percent of the world’s oil.
Suppose X∼N(6.5,1.5), and x=3.5. Find and interpret the z-score of the standardized normal random variable. Provide your answer below:
Answer: x= 3.5 is -2. The mean is 6.5.
z score to the left is 2
Step-by-step explanation:
X is a normally distributed random variable with μ=6.5 (mean) and σ=1.5 (standard deviation). To calculate the z-score,
z=x−μσ=3.5−6.51.5=−31.5=−2
This means that x=3.5 is two standard deviations (2σ) below or to the left of the mean. This makes sense because the standard deviation is 1.5. So, two standard deviations would be (2)(1.5)=3, which is the distance between the mean (μ=6.5) and the value of x (3.5).
Using the normal distribution, it is found that x = 3.5 has a z-score of -2, which means that it is 2 standard deviations below the mean.
--------------------------------
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure X is from the mean, above or below.
X∼N(6.5,1.5), which means that [tex]\mu = 6.5, \sigma = 1.5[/tex].The measure is [tex]X = 3.5[/tex]The z-score is:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{3.5 - 6.5}{1.5}[/tex]
[tex]Z = -2[/tex]
The measure x = 3.5 has a z-score of -2, which means that it is 2 standard deviations below the mean.
A similar problem is given at https://brainly.com/question/13383035