Find the derivation of the following functions with they corresponding variables

Find The Derivation Of The Following Functions With They Corresponding Variables

Answers

Answer 1

Answer:

d(f(t))/dt = –56/(t^8) – (5/6)/t^(7/6) + 12t^3 – 2t + (1/3)t^(2/3))

Step-by-step explanation:

To find the derivative of f(t), we have to find the derivative of each component of the function to make it easier.

d(8/(t^7))/dt = d(8xt^-7)/dt = –7 x 8 x t^-8 = –56t^-8 = -56/(t^8)

d(5/(t^(1/6)))/dt = –(1/6) x 5 x t^(-7/6) = –(5/6)/t^(7/6)

d(3t^4)/dt = 4 x 3 x t^3 = 12t^3

d(t²)/dt = 2t

d(t^⅓)/dt = ⅓t^(-2/3) = (1/3)t^(2/3))

d(12)/dt = 0.

Therefore,

d(f(t))/dt = –56/(t^8) – (5/6)/t^(7/6) + 12t^3 – 2t + (1/3)t^(2/3))


Related Questions

Plz help me with this?!?! I will mark you brainliest!!!

Answers

Answer: 36

Step-by-step explanation:

Write your own situation about the inequality below. 10 x + 20 ≤ 150

Answers

Answer:

k

Step-by-step explanation:

10)×20+21-150

you will end up getting your answers

I want you to just do the easy bit

the calculations if that's alright

x + 8 + 2x <= 2x + 13

Answers

Answer:

X = 15

Step-by-step explanation:

We move all terms to the left:

x+8+2x-(2x+13)=0

We add all the numbers together, and all the variables:

3x-(2x+13)+8=0

We get rid of parentheses:

3x-2x-13+8=0

We add all the numbers together, and all the variables:

x-5=0

We move all terms containing x to the left, all other terms to the right:

x=5

Find all solutions to the equation $x^2 - 8x = -16$.

Answers

Answer:

x = 4

Step-by-step explanation:

x^2 - 8x = -16

Add 16 to both sides.

x^2  8x + 16 = 0

This may be the square of a binomial.

x^2 is the square of x

16 is the square of 4 and -4.

Let's check the middle term:

2ab = 2(x)(-4) = -8x

Yes, it is the square of a binomial.

x^2 - 8x + 16 = 0

(x - 4)^2 = 0

x - 4 = 0 or x - 4 = 0

x = 4 or x = 4

Answer: x = 4

There are 120 students and 23 teachers going on a class trip. The buses used for the class trip hold at most 45 passengers. How many buses will be needed?​

Answers

Answer: 4 busses if each bus only hold 45 passengers at most.

Step-by-step explanation:

120 students

23 teachers=143 people

143 divided by 3 busses is only 47 so 3

busses wouldn’t be enough

The variables y and x have a proportional relationship, and y = 7 when x = 2 What is the value of x when y = 212 Enter your answer in the box x = 1

Answers

Answer:

proportional relational ship  

y= kx

7 = k2

solve for k

7/2 =k

y = 7/2 x

if y = 21

21 =7/2 x

solve for x

multiply by 2/7 on each side

21* 2/7 = 2/7*7/2 x

6 =x

A florist arranges 4 flower arrangements in 92 minutes.

At this rate, how many many flower arrangements are made in 207 mintues?

Enter your answer in the box.

Answers

Answer:

[tex]\boxed {\boxed {\sf 9 \ arrangements }}[/tex]

Step-by-step explanation:

Let's set up a proportion using the following setup:

[tex]\frac{arrangements}{minutes} =\frac{arrangements}{minutes}[/tex]

We know that the florist can arrange 4 in 92 minutes.

[tex]\frac{4 \ arrangements}{92 \ minutes} = \frac{arrangements}{minutes}[/tex]

We don't know how many the florist can arrange in 207 minutes, so we say x arrangements can be completed in 207 minutes.

[tex]\frac{4 \ arrangements}{92 \ minutes} = \frac{ x \ arrangements}{ 207 \ minutes}[/tex]

[tex]\frac{4}{92} =\frac{x}{207}[/tex]

Solve for x by isolating it on one side of the proportion.

x is being divided by 207. The inverse of division is multiplication. Multiply both sides of the proportion by 207.

[tex]207*\frac{4}{92}=\frac{x}{207}*207[/tex]

[tex]207*\frac{4}{92}=x[/tex]

[tex]207*0.0434782609=x[/tex]

[tex]9=x[/tex]

The florist can arrange 9 arrangements in 207 minutes.

How you express the average of five quizzes is 85 in mathematical expression​

Answers

Let x1, x2, x3, x4, x5 be the scores for the five tests respectively and y be the average score of those tests.

y = (x1 + x2 + x3 + x4 + x5) / 5

since y = 85:

(x1 + x2 + x3 + x4 + x5) / 5 = 85

A recipe for chocolate chip cookies with toffee bits and walnuts serves 8 people and needs 3 cups of flour. If Zachary wants to make the recipe for 14 people, how many cups of flour should he use?

I will mark you as the brainliest IF answered correctly.

Answers

Answer:

Im pretty sure it's 5.25 cups of flour

Step-by-step explanation:

so we know that it takes 3 cups for 8 people and we don't know the amount for 14 people so write it as a fraction and cross multipy

For the equation

8/3=14/x

The cross product is

8*x=3*14

Solving for x

x=3×14/8

and reducing

x=5.25

(HELP ME EXTRA POINTS )John just hired a new employee to work in your bakeshop. In one day, the employee burned 150
chocolate chip cookies out of 1,000 cookies made. What percent of the day's production, did
John's new employee burn?

Answers

Answer:If you want A brainly go subscribe to this youtubr channel Florida_kik

Step-by-step explanation:

Answer:

15%

1000* 15% = 150

Step-by-step explanation:

150 : 1000 = x : 100

(150 * 100) / 1000

15000/1000 =

15

find the domain of the graphed function

Answers

Answer:

Domain= [0, 13]

Step-by-step explanation:

Domain refers to the possible input values on the x-axis.

In a different tug of war, one team pulls with a force of 50 newtons at an angle of 30 degrees from the positive x-axis, and a second team pulls with a force of 25 newtons at an angle of 250 degrees. Use a scale drawing to determine the total force and angle applied to the central ring. How did they get the following answer?34.8 N at 2.5 degrees from the positive x-axis

Answers

Answer:

34.8 N at 2.5 degrees from the positive x-axis

Step-by-step explanation:

From the given information:

The force F makes an angle A with the positive x axis can be expressed in terms horizontal and vertical components.

[tex]F_x = F cos A\\\\ F_y = Fsin A[/tex]

Given that

[tex]F_1 = 50 \ N[/tex]

[tex]\theta_1 = 30 ^0 \ \ \ (x-axis)[/tex]

[tex]F_{1x} = F_1 \times Cos A_1[/tex]

=  50 × cos 30

= 43.3 N

[tex]F_{1y} = F_1 \times Sin \ A_1[/tex]

= 50 × sin 30

= 25 N

Similarly;

[tex]F_2 = 25 \ N[/tex]

[tex]\theta_2 = 250 ^0 \ \ \ ( x-axis)[/tex]

[tex]F_{2x} = F_2 \times cos \ A_2[/tex]

= 25 × cos 250

= - 8.55 N

[tex]F_{2y} = F_2 \times A_2[/tex]

= 25 × sin 250

= -23.5 N

The total net force;

[tex]F_{net} = F_{(net)}_x + F_{(net)}_y[/tex]

[tex]F_{net} = (F_{1x} + F_{2x} ) i + (F_{1y} + F_{2y} )j[/tex]

[tex]F_{net} = (43.3 - 8.55) i + (25-23.5 ) j[/tex]

[tex]F_{net} =34.75 i + 1.5 j[/tex]

[tex]|F_{net} | = \sqrt{F_{net}_x^2 + F_{net}_y^2}[/tex]

[tex]|F_{net} | = \sqrt{34.75^2 + 1.5^2}[/tex]

[tex]|F_{net} | = 34.8 \ N[/tex]

Finally, the direction of the angle for the net force is:

[tex]tan \theta = \dfrac{F_{net_y}}{F_{net_x}}[/tex]

[tex]\theta = tan^{-1} \Big (\dfrac{F_{net_y}}{F_{net_x}} \Big)[/tex]

[tex]\theta = tan^{-1} \Big (\dfrac{1.5}{34.75}} \Big)[/tex]

[tex]\theta = tan^{-1}( 0.043165)[/tex]

[tex]\theta \simeq 2.5^0\ with \ positive \ x-axis[/tex]

Given g(x)=−x2+10x−3, find the following.

g(9)=
Question 14 options:

-174


-111


6


138

Answers

Answer:

g(9) = 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

g(x) = -x² + 10x - 3

g(9) is x = 9

Step 2: Evaluate

Substitute in x:                    g(9) = -(9)² + 10(9) - 3Exponents:                          g(9) = -(81) + 10(9) - 3Multiply:                               g(9) = -81 + 90 - 3Add:                                     g(9) = 9 - 3Subtract:                              g(9) = 6

which of the following scenarios could be modeled by the expression 3/2 divided by 1/4

Answers

Answer:

I believe C.

Explanation:

I am pretty sure it's C but I don't really see it too well so I can't read the top two the best.

Yeah it’s for sure C

Solve for x
-2(x+6) =-36

Answers

Answer:

x= 12

Step-by-step explanation:

Answer:

x=12

Step-by-step explanation:

-2(x+6)=-36

distribute the -2

-2x-12=-36

add 12 to both sides

-2x=-24

divide both sides by -2

x=12

What is the average speed in miles per hour if a driver has traveled 8 miles in 10 minutes?

Answers

Answer:

48 MPH

Step-by-step explanation:

10 mins times 6= 60 mins which is an hour

8 miles times 6= 48 miles

This means the average is 48 MPH

The average daily maximum temperature in Syracuse is 21.85°C, and the average daily minimum temperature is -4.7°C. The average daily maximum temperature is BLANK °C higher than the average daily minimum temperature.

Answers

Answer:

The average daily maximum temperature is

26.56 °C higher than the average daily minimum temperature

Step-by-step explanation:

Here, we simply want to calculate how higher is the average daily maximum temperature to average daily minimum temperature

We simply proceed to subtract the two

Mathematically, that will be;

21.85 - (-4.7)

= 21.85 + 4.7

= 26.56 °C

Find the length x.
5
X
45
PLS THIS IS ERGENT

Answers

Answer:

X = 7.5

Step-by-step explanation:

First, divide 5 by 3 to find the scale factor:

5/3 = 1.667

Now, multiply 4.5 by 1.667 to find x:

x = (4.5)(1.667)

x = 7.5

Therefore, x is equal to 7.5.

I hope this helps!!

- Kay :)

Using the graph, determine the coordinates of the x-intercepts of the parabola.
Y

Answers

Answer: -2 and 4

Step-by-step: You see the horizontal line? now look at the the numbers -2 and 4 on that line. Notice how the line passes through them? those are your x-intercepts.

The required coordinates of the x-intercepts of the parabola are (0, -2) and (0, 4).

What is x-Intercept?

The x-intercept is defined as an intercept that is located at the x-axis of the plane, which is the location or coordinates from where the line crosses.

We have to determine the coordinates of x-intercepts and y-intercepts that would function in the given graph.

The parabola of the graph is given in the question

A horizontal axis, or x-axis, and a vertical axis, or y-axis, are present in a 2-dimensional coordinate graph. Intercepts are the points (0, -2) and (0, 4) here lines representing a range of values intersect these axes.

Therefore, the required coordinates of the x-intercepts of the parabola are (0, -2) and (0, 4).

Learn more about the x-intercept here:

https://brainly.com/question/14180189

#SPJ2

Solve for the value of n.
(9n)
(8n+8)

Answers

Answer: undoable
Step by step explanation: no = so it’s no doable

This question is based on the given solving an equation. Therefore, the value of n for (9n) (8n+8) is 0 and -1.

Given:

(9n) (8n+8)

We need to determined the value of n.

According to the question,

It is given that, expression (9n) (8n+8).

For finding the value of n, we would be equate the given expression is equal to zero.

⇒ (9n) (8n+8) = 0

Now, calculating the value of n. We get,

⇒ (9n) (8n)+(9n) (8)

Then, solving above expression further. We get,

⇒ [tex]\bold{72 n^2+ 72n = 0}[/tex]

Now, taking common 72 n. We get,

⇒ 72n (n + 1) = 0

⇒ 72 n = 0 and (n+1) = 0

We get,

n = 0 , -1

Therefore, the value of n for (9n) (8n+8) is 0 and -1.

For more details, prefer this link:

https://brainly.com/question/8743486

Determine whether the lines are parallel, perpendicular, or neither. Justify your answer. y = 2x - 8
Y = 1/2x + 6
⚠️if you answer correctly I will give you brainliest

Answers

Answer:

perpendicular

Step-by-step explanation:

it is perpendicular because you flipped and negative the slope. if it was parallel the slope would be the same with no negative

What system of equations is shown on the graph below?

On a coordinate plane, 2 lines intersect around (1.8, negative 0.8).

2 x + y = 3 and 3 x minus 4 y = 8
2 x minus y = 3 and 3 x + 4 y = 8
2 x + y = 3 and 3 x minus 4 y = 2
2 x minus y = 3 and 3 x minus 4 y = negative 2

Answers

Answer:

i thnk it is c correct me if i am rong

Step-by-step explanation:

Answer:

(C) I got it right

Step-by-step explanation:

on edge

I GIVE BRAINLILSET
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Answers

Answer:

(C) $1.5

Step-by-step explanation:

Profit Percent * Cost Price = Profit

20% * $1.25 =

20/100 = .2 * $1.25 =

$.25

Selling Price = Profit + Cost Price

$.25 + $1.25 = $1.5

3(x − 5) is equivalent to 3x − 15. False True

Answers

Answer:

True

Step-by-step explanation:

You would distribute the 3 across to each term( being x and -5) by multiplying 3 by x and 3 by -5 which would get you 3x-15

Answer:

true

Step-by-step explanation:

I need help with this any one please help me

Answers

Answer:

b. y = 1000x

Constant of proportionality = 1,000

Step-by-step explanation:

The equation that represents a proportional relationship between variable x and y usually takes the following form, y = kx.

Where,

k = constant of proportionality.

From the three given equations, the only equation that takes the form is b. y = 1000x.

The constant of proportionality (k) of the equation = 1,000.

Jason can travel 24 3/4 miles in 1/4 hour. What is his average speed in miles per hour?

Answers

Answer:

the answer is 99

Step-by-step explanation:

simply multiple 24 3/4 by 4

Answer:

99 miles per hour

Step-by-step explanation:

(24 3/4) / (1/4) =

99/4 x 4/1 =

396/4 = 99

what is the estimate of 210 x 733

Answers

Answer:

153,930 that is the answer hope it is right

Answer:

about 1,400

Step-by-step explanation:

its about 1,400 because you would round 210 to 200, and 733 to 700.

please give brainliest :))

Determine the shaded areas part 2​

Answers

9514 1404 393

Answer:

  (a) cannot be determined

  (b) 44 cm^2

  (c) 87 m^2

  (d) 180 m^2

  (e) 132 m^2

Step-by-step explanation:

(a) missing a horizontal dimension

__

(b) The difference between the bounding rectangle and the lower-left cutout is ...

  (8 cm)(7 cm) -(3 cm)(4 cm) = (56 -12) cm^2 = 44 cm^2

__

(c) The difference between the bounding rectangle and the center cutout is ...

  (13 m)(7 m) -(4 m)(1 m) = (91 -4) m^2 = 87 m^2

__

(d) The difference between the bounding rectangle and the two cutouts is ...

  (20 m)(25 m) -(16 m)(20 m) = (20 m)(25 -16) m = (20 m)(9 m) = 180 m^2

__

(e) The difference between the bounding rectangle and the two cutouts is ...

  (14 m)(12 m) -(12 m)(3 m) = (12 m)(14 -3) m = (12 m)(11 m) = 132 m^2

Which function is graphed?

Answers

Answer:

Option A

Step-by-step explanation:

The given piecewise function shows that there is a jump discontinuity at x=1 in the first part of the piecewise function. Hence, this means that for the first part of the piecewise function, x=1 isn't included, but in the second part of the piecewise function, it is.

We can therefore eliminate C and D.

Looking at the first part of the piecewise function, we can see as x grows smaller, y grows larger.  Therefore, A is the more preferred answer because the domain x<1 is valid.

Mira has breakfast at a restaurant she leaves a 20% tip of $1.80 what is the price of breakfast before the tip

Answers

♡ Answer ♡

$9

♡ Step-by-step explanation ♡

  In the problem, it states that Mira leaves a $1.80 tip. At the same time, it is also mentioned that the tip is 20% of the price of breakfast before it. This means that $1.80 is 20% of the price of breakfast before the tip. In order to figure out the price of breakfast before the tip, we must take the 20% tip and make it into 100%. This 100% will be equivalent to the price of breakfast (before the tip).

  To transform 20% into 100%, we must multiply by 5. Therefore, to find the price of breakfast before the tip, we must multiply $1.80 by 5. When we do this, we discover that $1.80*5 is $9. $9 is 100% of the price of breakfast before the tip.

  So, the price of breakfast before the tip is $9.

  A/N (Author's Note): I hope this helps/helped those that may be reading this. Have a fantastic week reader(s)!

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