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
Write your answer with no spaces and any fraction with “/“
Answer:
The slope is 1/2
Step-by-step explanation:
Hi!
Disclaimer: Just for this response, I'm going to write it the same way you write a fraction out on paper just so it's easier to see.
First, you plot the two coordinates on the graph:
(0,0) and (2,1)
The formula for slope is [tex]\frac{y1 - y2}{x1 - x2}[/tex]
Now we plug in numbers accordingly:
[tex]\frac{0 - 1}{0 - 2}[/tex]
Simplify:
[tex]\frac{-1}{-2} \\[/tex]
Simplify:
[tex]\frac{1}{2}[/tex]
Let me know if you have any questions
Five times a number decreased by 8 is less than 37. Write an algebraic inequality to represent this situation.
Answer:
5x - 8 < 37
Step-by-step explanation:
I'm so sorry if this is wrong
I need some helppp people
We can observe that the function describing the graph is linear and so the equation is of linear nature:
[tex]y=mx+n[/tex]
Numbers m and n have special names. m is called the slope, n is called y-intercept.
From the graph one can tell that the line intercepts y-axis at y = -1 that means n = -1. What about the slope you say?
The slope can be calculated using two points' coordinates that lie on the line:
[tex]m=\frac{\Delta y}{\Delta x}=\frac{-1-5}{0-5}=\frac{6}{5}[/tex]
Now our line has an equation,
[tex]y=\frac{6}{5}x-1[/tex]
Hope this helps.
Explain your answer !!
Have a great day
Will give brainlst
Answer:
Dang this looks hard
Step-by-step explanation:
Wish could help
PLS HELP ME!! FIND THE PARALLEL LINES!!
Answer:
F to D and A to E
Step-by-step explanation:
if they were to continue forever they wouldn't touch but the other lines would (sorry if this isn't correct)
I really need help on this one, guys
Answer:
6.2 meters
Step-by-step explanation:
Use pythagorean theorem to find b:
b = √(2.8² - 2.7²) = √0.55 = 0.7 (nearest tenth)
Perimeter of triangle = sum of all its sides = 2.8 + 2.7 + 0.7
Perimeter = 6.2 meters
WILL MARK BRAINLYIST
Bashir deposits money into a savings account every year. In his first year of saving money, he deposited $1,500.
Each year after that, he deposited $2,250. Write an explicit expression to represent the total amount of money, in
dollars, Bashir has deposited into his account, where n represents the number of years he has been contributing
money to the account.
Answer:
[tex]y = 2250x + 1500[/tex]
Step-by-step explanation:
Which expression is equivalent to 9^-2?
O-81
O-18
O1/81
O1/18
Answer:
Option C - 1/81
Step-by-step explanation:
9^(-2) = 1/(9^2) [ Because a^(-m) = 1/(a^m) ]
so, 1/(9²) = 1/81.
Hope this helps you.
The correct expression which is equivalent to 9⁻² is,
⇒ 1 / 81
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 9⁻²
Now, We can formulate;
⇒ 9⁻²
⇒ 1/9²
⇒ 1 / 81
Thus, The correct expression which is equivalent to 9⁻² is,
⇒ 1 / 81
Learn more about the mathematical expression visit:
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The sum of the measures of the interior angles of a convex polygon is 720' Classify the polygon by the number of sides.
Answer:
Since the figure with angles measuring 0˚ is 1 lines, then the figure with interior angles of 720˚ has 1+5=6 sides.
Step-by-step explanation:
$250 gaming system is discounted by 25%. It was then discounted another 10% because the box was opened
by a customer.
Answer:
i think you want to know what is the total it is 87.5
Step-by-step explanation:
Answer:
You pay $168.75
You save $81.25
Step-by-step explanation:
First you find the 25% off
25% of 250 is 187.50
That is 62.50 saved
Now subtract 187.50 by 10%
10% of 187.50 is 168.75
That is 18.75 saved
enter the value x that makes the equation
Answer:
x=-192
Step-by-step explanation:
simplyfying we get
2/3x-4= 3/4x+12
so subratcing 2/3 on both sides we get
-4= 9x/12- 8x/12+12
subtracting 12 from both sides we get
-16= x/12
x= -192
if my answer helps please mark as brainliest
Find the volume of a triangular prisim with the following dimensions.
Base= 5
Height= 3
Length= 8
Answer:
60³
Step-by-step explanation:
Hi again.
This time we are working with a triangular prism which is a bit trickier than a rectangular prism but it is still pretty easy once you know the formula.
The formula for a triangular prism is :
V = 1/2 x b x h x l
Or in full terms :
Volume = 1/2 x Base x Height x Length
So basically we are going to plug in the base , height, and width like we did before but this time at the end we are going to divide it in half.
So like last time, lets look at what we are given :
Base = 5
Height = 3
Length = 8
And now we put these numbers into the formula :
Volume = 1/2 x Base x Height x Length
Volume = 1/2 x 5 x 3 x 8
Lets save the 1/2 for last and do the others first.
So we can do 5 x 3 and get 15.
Then 15 x 8 and we get 120.
Now the equation is literally :
Volume = 1/2 x 120
(This is the same as 120 / 2 just in multiplication terms)
So lets do this :
120 / 2
=
60
So now we have your answer :
Volume = 60³
(Don't forget the little 3)
Again, I hope this helps!
Any questions or concerns please comment or message me ofc :)
4 2/3 = 5 − 1/3
true or false
Answer:
true
Step-by-step explanation:
take away 1/3 from 5 and you get four and a third
Pls help meeeeeee ahhhhhhh!
Answer: 8x+7
Step-by-step explanation:
The first thing you need to do is multiply (x+1) by 7 (this is the part where you use the distributive property). x times 7 is 7x and 1 times 7 is 7. So now you should have x+7x+7. Now just combine like terms. You can add x and 7x but you can't add the one because there is no variable (x) in it. Your final answer should be 8x+7. Hope this helps!
Net pay is the difference between a worker’s gross income and his or her deductions. A person’s gross income for the year was $65,000 and their total deductions were $12,860. What was their net pay for the year? Use the formula P = I - d, where P is the net pay, I is the gross income and d is the deductions.
a. $53,140 is the net pay
b. $77,860 is the net pay
c. $72,860 is the net pay
d. $52,140 is the net pay
Write the equation of a parabola in vertex form,
f(x) = a(x – h)2 +k, with vertex (-1, 8) and
passing through (3,4)
You must show your work to receive full credit
Answer:
Step-by-step explanation:
Vertex-form equation for a vertical parabola with vertex (h,k):
y = a(x-h)²+k
Plug in coordinates of vertex:
y = a(x+1)²+8
plug in (3,4) and solve for a:
4 = a(3+1)²+8
a = -¼
The equation of the parabola is
y = -¼(x+1)²+8
The Franklins inherited $3,500, which they want to invest for their child's future college expenses. They use the following formula to calculate the value of their investment over time, where
A = value of the investment after years, P = principal invested, r = annual interest rate, and n = number of times compounded per year.
A = P(1 +
you
71
If they invest the inherited money at an annual rate of 8.25% with interest compounded monthly, what is the value of the account to the nearest dollar, after 5 years?
Answer:
1443.75 i think
Step-by-step explanation:
Thus, Franklin has $5011 after 5 years for an annual rate of 8.25% with interest compounded monthly.
The Franklins inherited $3,500, which they want to invest for their child's future college expenses. Using formula [tex]A = p(1+r/n)^{nt}[/tex]
where A is the value of the investment after t years, P is the principal invested, r is the annual interest rate and n is the number of times compounded per year.
an annual rate of 8.25% with interest compounded monthly, what is the value of the account to the nearest dollar, after 5 years is to be determined.
Statistic is the study of mathematics which deal with relations between comprehensive data.
Using formula [tex]A = p(1+r/n)^{nt}[/tex]
[tex]A = 3500*(1+0.0825/12)^{12*5}\\A = 3500*(1+0.006)^{60}\\A = 3500*(1.006)^{60}\\A = 5011.25\\[/tex]
A ≈ 5011
Thus, Franklin has $5011 after 5 years for an annual rate of 8.25% with interest compounded monthly.
Learn more about Statistics here:
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Find the measure of angle C
What is 6 minus 3 and 2/5
Answer:
2.6
I am pretty sure this is right.
What is the value of the following expression when b = -2 and C = 3? -12b + 5c - 15
Answer:
-24
Step-by-step explanation:
12(-2)+5(3)-15
-24+15-15
-24+15
-9-15
= -24
10) Jacolby can score 30 goals in 6 minutes. Khamari can score 42 goals in 7 minutes. How many more goals can Khamari make per minute? a) 3 goals b) 2 goals c) 1 goal d) 4 goals
Answer:
c)1 goal
Step-by-step explanation:
Since Jacolby can make 30 goals in 6 minutes, that makes (30/6) 5 goals per minute. Khamari can make 42 goals in 7 minutes, that makes (42/7) 6 goals per minute. So Jalcolby is 5 and Khamari is 6, and the question is asking how many MORE. 6-5 is 1, so Khamari can make 1 more goal per minute than Jacolby.
Hope this helps.
Robin braided g inches of a friendship bracelet. Olivia braided 12 less than 1/3 the number of inches robin braided. Select all of the expressions that represent the total number of inches braided by robin and Olivia
I NEED DONE ASAP PLEASEEE
Answer:
Step-by-step explanation:
The correct expressions that represent the total number of inches braided by robin and Olivia is,
⇒ 4 (1/3g - 3)
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
Robin braided g inches of a friendship bracelet.
And, Olivia braided 12 less than 1/3 the number of inches robin braided.
Now, The total number of inches braided by Robin and Olivia = Number of inches braided by Robin + Number of inches braided by Olivia
Hence, We get;
⇒ g + 1/3g - 12
⇒ 4/3g - 12
⇒ 4 (1/3g - 3)
Thus, The correct expressions that represent the total number of inches braided by robin and Olivia is,
⇒ 4 (1/3g - 3)
Learn more about the mathematical expression visit:
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find the slopes of the line
Answer:
1/4
Step-by-step explanation:
Enter range of values for x
Answer:
42=3x+15
42-15+3x
27/3 = 9
Step-by-step explanation:
4 out of the 8 balloons in a bunch are red.
What is the probability that a randomly selected balloon will be red?
Answer:
There is a 50/50 chance that there would be a red balloon selected. If you need the decimal version, .50
or, in fraction form
1/2
Need help finding angle A,B,C,D!!
how Do you graph an
absolute valve function
Answer:
To graph the absolute value, you need to know where the vertex is, so the numbers will be going down, then turn and start going back up, or going up and then turn and start going down, the middle point will be the vertex and should be the center point of the table.
S. (4 - 2x)(4 + 2x)
Answer:
16-4x^2
Step-by-step explanation:
u start multiplying them by each other .
4×4= 16
4×2x= 8x
-2x×4= -8x
-2x×2x= -4x^2
now u combine like terms
8x+-8x = 0
16-4x^2
I hope u understood.... lol
I NEEED TO GET THIS RIGHT PLS ANSWERRRRR. ILL GIVE YOY ALOT OF POINTS AND A BRAINLYIST!!!
Answer:0.5n
Step-by-step explanation: its to long to explain but correct :)
Answer:
0.5n
Step-by-step explanation:
a salmon can swim 37.5 meters in 3 seconds. A swordfish can swim 3,204 meters in 2 minutes. which fish swims faster? explain
Answer:
The salmon can swim faster.
Step-by-step explanation:
The salmon can swim faster BECAUSE, if you multiply 37.5x60 (60 stand for seconds, and 60 seconds is a minute) it equals to 2250. If you do 2250x2, that equals 4500, and the 2 is two minutes. The swordfish swims 3,204 meters in 2 minutes, and the salmon swims 4500 meters in 2 minutes. Therefor, the salmon is faster.