find y'' of
y=7x^8/7-5x^1/6

Answers

Answer 1

Answer:

Step-by-step explanation:

Use the power rule of differentiation:

\(x^n=nx^n^-^1\\7*\frac{8}{7} x^\frac{1}{7} =8x^\frac{1}{7} \\-5*\frac{1}{6} x^\frac{-5}{6} =-\frac{5}{6} x^\frac{-5}{6} \\8x^\frac{1}{7} -\frac{5}{6} x^\frac{-5}{6} =y'\)

Now take the derivative of that function:

\(8*\frac{1}{7} x^\frac{-6}{7} =\frac{8}{7} x^\frac{-6}{7} \\-\frac{5}{6} *\frac{-5}{6} x^\frac{-11}{6} =\frac{25}{36} x^\frac{-11}{6}\\\frac{8}{7} x^\frac{-6}{7} +\frac{25}{36} x^\frac{-11}{6} =y''\)

Now simplify:

\(\frac{8}{7\sqrt[7]{x^6} } +\frac{25}{36\sqrt[6]{x^1^1} } =y''\)


Related Questions

Sean places 21 tomato plants in rows. All rows contain the same number of plants. There are between 4 and 12 plants in each row. How many plants are in each row? its just for my younger brother

Answers

Answer:

7 plants

Step-by-step explanation:

21 tomato plants in all.

They all have the same number of plants per row.

There are 7 plants in each row.

In July, a paleontologist found 368 fossils at a dig. In August, she found about 14 fossils per day.

Is the number of fossils the paleontologist found in August proportional to the number of days she spent looking for fossils that month?

Answers

Answer: Yes

Step-by-step explanation:

The ratios of number found to the number of days are all equal to 14 fossils per day.

(Plus I just did this and got it wrong but saw the right answer which is this)

Answer:

nppppppppp

Step-by-step explanation:

emily has $100 extra to spend on supplies for her T-shirt-making business. she wants to buy ink, i, which costs $8 a bottle, and ne brushes, b, which are $18 each. which inequality below represents this scenario?

Answers

(c) 15i + 4b ≥ 100 inequality represents this scenario.

To represent the scenario described in the problem, we need to use an inequality that relates the amount of money Emily spends on ink and brushes to the total amount of money she has available. Let's call the amount of ink Emily buys "x" and the number of brushes "y". Then the total amount of money she spends is:

Total cost = 8x + 18y

We want to know when this total cost is less than or equal to $100, so we can write:

8x + 18y ≤ 100

This inequality means that the total cost of ink and brushes must be less than or equal to the amount of money Emily has available. Therefore, the answer is (c) 15i + 4b ≥ 100.

Correct Question :

Emily has $100 extra to spend on supplies for her T-shirt-making business. She wants to buy ink, i, which costs $8 a bottle, and ne brushes, b, which are $18 each. Which inequality below represents this scenario?

a) 4i+100 ≤ 15b

b) 15i + 4b ≤ 100

c) 15i + 4b ≥ 100

d) 4i + 15b ≤ 100

To learn more about inequality here:

https://brainly.com/question/30231190

#SPJ1

Use the relationship represented in this Venn diagram to identify the true statement.
A. All trapezoids are rhombuses
B. All rhombuses are trapezoids
C. No trapezoids are rhombuses
D. No rhombuses are trapezoids

Answers

The true statement based on the relationship depicted in the Venn diagram is that no rhombuses are trapezoids (option D).

To identify the true statement using the relationship represented in the Venn diagram, we need to analyze the overlapping regions and the properties of the shapes involved.

A trapezoid is a quadrilateral with at least one pair of parallel sides, while a rhombus is a quadrilateral with all sides of equal length. Let's evaluate the options:

A. All trapezoids are rhombuses: This statement is not true based on the diagram. The overlapping region between the trapezoids and rhombuses shows that there are trapezoids that are not rhombuses. Therefore, option A is incorrect.

B. All rhombuses are trapezoids: This statement is true based on the diagram. The entire region representing rhombuses is also included within the region representing trapezoids. Every rhombus can be considered a trapezoid because it has at least one pair of parallel sides. Thus, option B is correct.

C. No trapezoids are rhombuses: This statement is not true based on the diagram. The overlapping region indicates that there are trapezoids that are indeed rhombuses. Therefore, option C is incorrect.

D. No rhombuses are trapezoids: This statement is true based on the diagram. There is no overlap between the regions representing rhombuses and trapezoids, implying that no rhombus can be considered a trapezoid. Hence, option D is correct.

for such more question on trapezoids

https://brainly.com/question/22351006

#SPJ8

HELPPP
PLLS
DUE RN



WILL


GIVE BRAINLIST



X
X
X
X

HELPPPPLLSDUE RNWILLGIVE BRAINLIST XXXX

Answers

3rd one

25. 2/11 yvyvybyivyvtcyvjjvyvyvufugucyftcyf

What are the intercepts of the graph of

the equation 4y - x = 8

Answers

Answer:

x intercept: (-8,0)

y intercept: (0,2)

Which is the constant of variation, k, if y=kx, and y=3 when x=4?

3/4

4/3

3

4

Answers

Answer:

k = \(\frac{3}{4}\)

Step-by-step explanation:

given variation equation

y = kx

to find k substitute y = 3 and x = 4 into the equation and solve for k

3 = 4k ( isolate k by dividing both sides by 4 )

\(\frac{3}{4}\) = k

Find the area of the figure shown. Please someone helppppp

Find the area of the figure shown. Please someone helppppp

Answers

I think it is 105 cm squared

If the interest rate on a 15-year mortgage for $225,000 were changed from 2.9% to 2.6%, how much would you save over the life of the loan?

Answers

The amount saved when the interest rate is changed will be $10125.

How to calculate the value?

When the interest rate was 2.9%, the amount will be:

= (Principal × Rate × Time) / 100

= (225000 × 2.9 × 15) / 100

= $97875

When the interest rate was 2.6%, the amount will be:

= (Principal × Rate × Time) / 100

= (225000 × 2.6 × 15) / 100

= $87750

Therefore, the amount saved will be the difference between the two interests calculated. This will be:

= $97875 - $87750

= $10125

The amount saved is $10125

Learn more about interest on:

brainly.com/question/28627579

#SPJ1

Help please! Answer both, it's all one question.2 0 C H A R E C T E R S

Help please! Answer both, it's all one question.2 0 C H A R E C T E R S

Answers

\(\begin{gathered} Question\text{ 8} \\ \text{square} \\ \text{Area = 64yd}^2 \\ \text{square area = side}^2 \\ \text{side}^2=\text{64yd}^2 \\ \sqrt[]{\text{side}^2}=\sqrt[]{\text{64yd}^2} \\ side\text{ =8yd} \\ The\text{ square's side is 8yd} \\ \\ \text{Question 9} \\ \text{Triangle} \\ base=\text{ }10.5in \\ \text{height}=14in \\ \text{Triangle's area=}\frac{base\cdot height}{2} \\ \text{Triangle's area=}\frac{10.5\cdot14}{2} \\ \text{Triangle's area=}\frac{147}{2} \\ \text{Triangle's area=73.5} \\ \text{The triangle's area is 73.5in}^2 \end{gathered}\)

Consider the right triangle below:
​The length of the missing leg, AC= meters
​​Round your answer to the nearest tenth.
Note: ​Figure not drawn to scale and all the measurements are in meters.

What is the perimeter of triangle ABC

Consider the right triangle below:The length of the missing leg, AC= metersRound your answer to the nearest

Answers

Answer
length of AC = 3.3 meters
perimeter is 14.3 meters

Step by step

We can solve the missing leg length by using Pythagorean theorem a^2 + b^2 = c^2

We know a = 5 and c = 6, find b

5^2 + b*2 = 6^2

25 + b^2 = 36

Subtract 25 from both sides to isolate b

25 - 25 + b^2 = 36 - 25

b^2 = 11

Take square root of both sides to solve

b = 3.31662479

Round to nearest tenth

b = 3.3 meters

Now to find perimeter which is the sum of all sides

5 + 6 + 3.3 = 14.3 meters

244-33456/3456*345+13.55-2=

Answers

The order of operations (PEMDAS) states that we should perform multiplication and division before addition and subtraction. Using this order, we get:

244 - (33456 / 3456) * 345 + 13.55 - 2

= 244 - 97.02 * 345 + 13.55 - 2

= 244 - 33494.1 + 13.55 - 2

= -33238.55

Therefore, 244-33456/3456*345+13.55-2 = -33238.55.

I would like to know how to solve this answer.

I would like to know how to solve this answer.

Answers

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

k > 0

k * v

Step 02:

Scalars and Vectors:

k = scalar

v = vector

Scalar multiplication of a real vector by a positive real number multiplies the vector's magnitude, without changing its direction.

k * v

The answer is:

k v is parallel and has same direction as v

peaches at the farmers market cost 2.70 per pound is it proportional

Answers

Yes it is very much so proportional sirrrrd

Solve for x to find the value that makes these ratios proportional. 5/6 = x/14​

Answers

Answer:

³⁵/₃

Step-by-step explanation:

⁵/₆ = ˣ/₁₄

Simply multiply both sides by 14:

14(⁵/₆) = x

x = ³⁵/₃

Answer:

x = 10/3

Step-by-step explanation:

Solve for x to find the value that makes these ratios proportional. 5/6 = x/14​

5 : 6 = x : 4

x = 5 * 4 : 6

x = 20 : 6

x = 10/3

Gravity acceleration at the Earth surface is 9.81 m/s². What is the acceleration in inches/s² (rounded to the nearest tenth) ?​

Answers

Rounded to the nearest tenth, the acceleration in inches per second squared is approximately 15222.8 in/s².

To convert the acceleration from meters per second squared (m/s²) to inches per second squared (in/s²), we need to use the conversion factor between the two units.

1 meter is equal to 39.37 inches.

To convert the units, we can set up the following conversion factor:

1 m/s² = (39.37 in/m)^2 = 1550.0031 in/s²

Now, we can multiply the given acceleration in m/s² by the conversion factor to obtain the acceleration in in/s²:

Acceleration in in/s² = 9.81 m/s² * 1550.0031 in/s²

Acceleration in in/s² ≈ 15222.7568 in/s²

Rounded to the nearest tenth, the acceleration in inches per second squared is approximately 15222.8 in/s².

for such more question on acceleration

https://brainly.com/question/25256383

#SPJ8

An office manager needs to cover the front face of a rectangular box with a label for shipping. The vertices of the face are (–5, 8), (3, 8), (–5, –4), and (3, –4). What is the area, in square inches, of the label needed to cover the face of the box?

96 in2
48 in2
40 in2
20 in2

Answers

The area of rectangle is 96in2 which is option A.

Area of rectangle calculation.

To find the area of the rectangular face, we need to find the length and width of the rectangle, and then multiply them together.

The length of the rectangle is the distance between the points (-5,8) and (3,8), which is 8 - (-4) = 12 inches.

The width of the rectangle is the distance between the points (-5,8) and (-5,-4), which is 3 - (-5) = 8 inches.

Therefore, the area of the rectangular face is 12 x 8 = 96 square inches.

So the answer is 96 in².

Learn more about area of rectangle below.

https://brainly.com/question/2607596

#SPJ1

The perimeter of a rectangle is 245 feet. The short sides are each 30 feet long, but the lengths of the long sides are unknown. What equation represents this situation?

Answers

Answer:

2(30) + 2x = 245

Step-by-step explanation:

As u know a rectangle has four sides, two equally long sides and two equally short sides. If each of the short sides are 30, that means 30 times 2 adding the 2 missing long sides would equal 245. So the long sides are going to be represented with x in this equation:

2(30) + 2x = 245

To make sure our equation is right, lets try solving it:

2(30) + 2x = 245

60 + 2x = 245

subtract 60 from both sides

2x = 185

x = 92.5

Now put 92.5 in the equation instead of x to confirm:

2(30) + 2(92.5) = 245

60 + 185 = 245

245 = 245

bought for 15$ sold for 49.50, what is markup percentage?

Answers

Answer:

17.65%

Step-by-step explanation:

https://www.calculatorsoup.com/calculators/financial/markup-calculator.php?cost=49.50&margin=15&action=solve

Pls help me it's urgent!

Pls help me it's urgent!

Answers

The formula that defines the sequence is f(n) = f(n-1) + 4

Recursive function

The recursive function rule is expressed as;

f(n) = f(n-1)  + d

where

d is the common difference

Given the following sequence

2, 6, 10, 14, 18..

Determine the common difference

d = 6-2 = 10-6

d = 4

Substitute to have

f(n) = f(n-1)  + d

f(n) = f(n-1) + 4

Hence the formula that defines the sequence is f(n) = f(n-1) + 4

Learn more on recursive formula here: https://brainly.com/question/1275192

#SPJ1

Use the chain rule to find the derivative of
f(x) = 4√/8x³ + 2x4
Type your answer without fractional or negative exponents. Use sqrt(x) for √√x.
X.
f'(x) =

Use the chain rule to find the derivative off(x) = 4/8x + 2x4Type your answer without fractional or negative

Answers

Using chain rule, the derivative of f(x) = 4√(8x³ + 2x⁴) is

f'(x) = (2/√(8x³ + 2x⁴)) * (24x² + 8x³)

What is the derivative of the function?

To find the derivative of the function f(x) = 4√(8x³ + 2x⁴), we can use the chain rule.

Let's break down the function into its components:

u(x) = 8x³ + 2x⁴ (inside function)

v(u) = 4√u (outer function)

To find the derivative, we apply the chain rule, which states:

(f(g(x)))' = f'(g(x)) * g'(x)

In this case, f(g(x)) = v(u(x)), and g(x) = u(x).

First, let's find the derivative of the inner function u(x):

u'(x) = 24x² + 8x³ (using the power rule for differentiation)

Next, let's find the derivative of the outer function v(u):

v'(u) = 4 * (1/2) * 1/√u = 1/√2u = 2/√u

Now, we can apply the chain rule:

f'(x) = v'(u(x)) * u'(x)

f'(x) = (2/√u) * (24x² + 8x³)

f'(x) = (2/√(8x³ + 2x⁴)) * (24x² + 8x³)

The derivative of the function is  (2/√(8x³ + 2x⁴)) * (24x² + 8x³)

Learn more on chain rule here;

https://brainly.com/question/30895266

#SPJ1

Solve by graphing. x2 + 2x – 3 = 0

Answers

By graphing or visualizing the parabolic shape, we can observe where the graph intersects the x-axis, which represents the solutions to the equation. In this case, the solutions are x = -3 and x = 1.

To solve the quadratic equation x^2 + 2x - 3 = 0 by graphing, we can plot the graph of the equation and find the x-values where the graph intersects the x-axis.

First, let's rearrange the equation to the standard form: x^2 + 2x - 3 = 0.

We can create a graph by plotting points for different values of x and then connecting them. However, I can describe the process and the key points on the graph.

1. Find the x-intercepts: These are the points where the graph intersects the x-axis. To find them, set y (the equation) equal to zero and solve for x:

  0 = x^2 + 2x - 3.

  This quadratic equation can be factored as (x + 3)(x - 1) = 0.

  Therefore, x = -3 or x = 1.

2. Plot the points: Plot the points (-3, 0) and (1, 0) on the graph. These are the x-intercepts.

3. Draw the graph: The graph of the equation x^2 + 2x - 3 = 0 is a parabola that opens upward. It will pass through the x-intercepts (-3, 0) and (1, 0).

For more such questions on graph

https://brainly.com/question/19040584

#SPJ8

I’ll give brainliest! Please help

Ill give brainliest! Please help

Answers

Answer:

65

Step-by-step explanation:

The lines are parallell so m1 = m5, and m3=m8. 180-115 is 65

Mr. Jones has taken a survey of college students and found that 1 out of 6 students are liberal arts majors. If a college has 13,000 students, what is the best estimate of the number of students who are liberal arts majors?

Answers

Answer: 2166

Step-by-step explanation: Hopefully im correct :3 Have a nice day

Help please -A special safe lets you choose from 5 symbols for a 3-symbol-long pass code. You may enter a symbol any number of times. How many potential pass codes are there?

Answers

Answer:

125

Step-by-step explanation:

the statement " 5 symbols for a 3-symbols- long pass code" in mathematics simply means 5 has a power of 3 or 5^3 = 5×5×5= 125

1. The circumcenter of ARST is A. What is the length of AT?

1. The circumcenter of ARST is A. What is the length of AT?

Answers

The correct option is D. For the circumcenter A of the triangle ∆RST, the length of AT is equal to 23.

What is the circumcenter of a triangle

The circumcenter of a triangle is the point where the perpendicular bisectors of the sides of the triangle intersect. This point is equidistant from the three vertices of the triangle and is the center of the circumcircle, which is the circle passing through all three vertices of the triangle.

Hence;

AS = AR = AT

3x - 7 = 2x + 3

3x - 2x = 7 + 3 {collect like terms}

x = 10

so;

AS = 3(10) - 7

AS = 30 - 7

AS = 23 and AT also is = 23.

Thus , for the circumcenter A of the triangle ∆RST, the length of AT is equal to 23.

Know more about circumcenter here:https://brainly.com/question/28488644

#SPJ1

3x+(8x-16) simplest form

Answers

Step-by-step explanation:

3x × 8x- 3x×16

24x -48x

-24x

2020-2021-T-Math-Gr05-T11 Question: 1-16
Jason helped his dad put plastic and aluminum items into the recycling container. The container is a large cube with a length, width, and height of 6 feet. What is the volume of the recycling container?
0 36 cubic feet
72 cubic feet
O 216 cubic feet
O 396 cubic foet

Answers

Given:

The side length of a cube is 6 feet.

To find:

The volume of the cube.

Solution:

We know that the volume of a cube is:

\(V=a^3\)

Where, a is the side length of the cube.

Putting \(a=6\) in the above formula, we get

\(V=(6)^3\)

\(V=216\)

The volume of the cube is 216 cubic feet. Therefore, the correct option is C.

A college has an acceptance rate of about 21% if 8700 students apply about how many will be accepted

Answers

Answer:

1827

Step-by-step explanation:

Answer:

1827

Step-by-step explanation:

21% of 8700 = 1827

Mark as Brainliest

Diego has 90 songs on his playlist how many songs are there for each genre

Answers

Answer:

40% rock

10% country

30% hip-hop

The rest is electronica

Step-by-step explanation:

hope this helped

Other Questions
What are 5 benefits of cool down? What happens to a linguist when it releases enough energy 2. PART B: Which THREE phrases provide examples that further develop the topic of the article in Part A?A "the minors are no less important" ( Paragraph 1)B "the crust crumples and buckles" ( Paragraph 4)C "As the mash-up continues" ( Paragraph 4)D "the highest point on Earth" ( Paragraph 4)E "widens the giant basins" ( Paragraph 7)F "like mountains or oceans" ( Paragraph 9)G"the halting motion" ( Paragraph 9) Which of the following is NOT a defining characteristic of water? Paired passage A: The Hike Whats the answers In 1750, ________ in the American Colonies were literate a) 85% of men and 50% of womenb) 50% of women and men c) 30% of men and 50% of women The reader can assume stories from the past -A scared children to be goodB only centered around a moralC were not very excitingD will soon be unpopular Jamal silk screens promotional posters for local bands in Atlanta. Jamal can choose three different silk screen machines: the Series T800 machine, the T850 machine, or the T1000 machine. Each machine allows him to produce more posters per day. The costs of printing promotional posters using the three machines are detailed in the three tables below.a. If Jamal expects that on average bands will order 600 promotional posters per concert, which silk screen machine should he order to minimize his average cost of production?(Click to select)T800 machine T850 machine T1000 machineb. If Jamal expects that on average bands will order 900 promotional posters per concert, which silk screen machine should he order to minimize his average cost of production?(Click to select) T800 machine T850 machine T1000 machinec. If Jamal expects that on average bands will order 300 promotional posters per concert, which silk screen machine should he order to minimize his average cost of production?(Click to select)T800 machine T850 machine T1000 machine At the board meeting of James Automotive, Inc., the directors inquired about cyber risk. In response, the risk management director shared cyber risk quotes from several insurance companies. Some directors objected to the costs of cyber risk. The Chief Information Officer (CIO) provided an overview of the company's network security and shared that the company's critical data was backed up off-site on a daily basis. The CIO also indicated that James Automotive is "an unlikely cyber target, and even if our systems are breached, we can use our backups to be fully operational within hours." James Automotive is an automobile dealership with five locations in Texas, two in Oklahoma, and two in New Mexico. It has a centralized network with information centralized at the headquarters in Austin. Their data includes customer information, including financial information.The board of directors decided that the cost of cyber risk insurance was prohibitive and voted to use such funds for other purposes. What could go wrong? As an estimation we are told 5 miles is 8km. Convert 2.5 miles to km Which two elements are in the same period?Onitrogen and bismuthO silver and calciumfluorine and chlorineO Potassium and Bromine A simple description of poetry is a condensed and concentrated form of literature, saying the most in the _________ number of words. How do you know that the gray siltstone is older than the igneous rock? What are the three factors the 3 E's of sustainability? Simplify this PLEASE At room temperature and pressure 14.2 g of chlorine will occupy what volume of gas SA A4 At tall child creates a shadow that is 7.5 ft long. What is the angle of elevation of the sun? 28 degrees 62 degrees 49 degrees 15 degrees All of the following are true regarding cleaning and sanitizing in food service EXCEPT:A. Cleaning refers to the removal of food or other matter from the surface of a plate or countertop.B. Sanitizing refers to reducing the number of pathogens that cause disease on the clean surface.C. It is important to remember to allow a sanitized surface to air dry before using it.D. Only surfaces that come into contact with RAW foods must be cleaned and sanitized. The local operating system on the server machine passes the incoming packets to the. Cost of debt. Dunder-Mifflin, Inc. (DMI) is selling 600,000 bonds to raise money for the publication of new magazines in the coming year. The bond will pay a coupon rate of 14.7% with semiannual payments and will mature in 30 years. Its par value is $100. What is the cost of debt to DML if the bonds raise the following amounts (ignoring issuing costs)? a. $58,506,000 b. $58,086,000 c. $67,464,000 d. $72,342,000 a. What is the cost of debt to DMI if the bonds raise $58,506,000 ? % (Round to two decimal places.)