verify by substitution that the given function is a solution of the given differnetial equation. note that any primes denote derivates with respect to x

Answers

Answer 1

It is verified that f(x) is a solution of the given differential equation.

It is given that f'(x) = 6x^5A function is a mathematical link that connects a set of inputs to a set of outputs, with each input corresponding to exactly one output.A function is defined as a mathematical link between a group of inputs that each have one output.The function f(x) is x^6 + 14.f(x) = x^6 + 14A differential equation is a mathematical equation that connects one or more unknown functions and their derivatives. In most applications, functions represent physical values, derivatives reflect their rates of change, and differential equations describe a link between the two.Differentiate both sides with respect to x.f'(x) = 6x^5 + 14f'(x) = 6x^5Hence, it is verified that f(x) is a solution of the given differential equation.

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Related Questions

The Statue of Liberty, Grand Canyon, and Empire State Building are all examples of __________ good.
A.
private
B.
public
C.
industry
D.
consumer


Please select the best answer from the choices provided

A
B
C
D

Answers

Answer:

its c im pretty sure

Step-by-step explanation:

i got it right on my quiz

PLEASE HELP FAST Simplify (9.78 x 10−11)(3.4 x 10−18). Write the final answer in scientific notation.
33.252 x 10−29
3.3252 x 10−29
33.252 x 10−28
3.3252 x 10−28

Answers

The product of the given scientific notation is 3.3252 *10^-28

Product of scientific notations

The standard scientific notations is expressed as A * 10^n. Given the following product

(9.78 x 10−11)(3.4 x 10−18)

This can be expressed as;

(9.78*3.4)* (10^-11 * 10^-18)

33.252 * (10^-11-18)

33.252 * 10^-29

3.3252 *10^-28

Hence the product of the given scientific notation is 3.3252 *10^-28

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Answer:

The answer is "3.3252 x 10^-28" or D :)

Step-by-step explanation:

I got it right on my quiz so it should also be right for you, have a good day.

What is the measure of angle B?
10 points
B
130°
C
D
E
F
H

Answers

It’s 50 degree angle. My friend told me. She smart

can you guys help me plss? I’ve been stuck in this one

Answers

Answer:

Restaurant A maybe because its the one with the least amount of money charged and guests.

Step-by-step explanation:

Salim wants to purchase tickets from a vendor to watch a tennis match. The vendor charges a one-time service fee for processing the purchase of the tickets. The equation T = 15n +12 represents the total amount T, in dollars, Salim will pay for n tickets. What does 12 represent in the equation?

Answers

Given:

The equation [tex]T=15n+12[/tex] represents the total amount T, in dollars, Salim will pay for n tickets.

To find:

What does 12 represent in the equation?

Solution:

The vendor charges a one-time service fee for processing the purchase of the tickets.

We have, the equation

[tex]T=15n+12[/tex]

Here, 15 is the coefficient of n and 12 is constant.

If n is number of tickets then 15 must be the price of each ticket.

12 is free from variable and it is fixed. So, it represents one-time service fee for processing the purchase of the tickets.

Therefore, 12 represents that one-time service fee for processing the purchase of the tickets is $12.

Answer this question quickly plz

Answers

Answer:

a.

1 quarter=0.25

240*0.25=60

again,

b.349/60=5.81 weak

Answer:

Step-by-step explanation:

a) he saves £60 per week

b) 60 x 6= 360

   he needs to save £60 for 6 weeks to have enough money to buy a bike

can someone help me please?

The base of tyler's cabin is a 56 feet by 78 feet rectangle. What is the area of the base of tyler's cabin?

Strategy:

why did you choose this strategy:

Answers

Answer:  4368 square feet

======================================================

Explanation:

Check out the diagram below

I drew a rectangle with dimensions 56 ft by 78 ft.

Then I broke up the 56 into 50+6, and I broke up the 78 into 70+8

The reason for this is because it's fairly easy to multiply the areas of each smaller rectangle at this point

In the upper left corner, we have an area of 50*70 = 3500. Note how this is basically 5*7 = 35, but we tack on the two zeros (from 50 and 70 combined)In the upper right corner, we have an area of 70*6 = 420In the lower left corner, we have an area of 50*8 = 400In the lower right corner, we have an area of 6*8 = 48

Add up all the areas found: 3500+420+400+48 = 4368

As a way to check, using your calculator shows that 56*78 = 4368

20 sweaters to 8 shirts

a. 2/3

c. 5/4

b. 4/5

d. 5/2

with work please :)

Answers

Answer:

D. 5/2

Step-by-step explanation:

20:8

You can divide them by 4 to get 5 and 2

20/4 = 5

8/4 = 2

5/2

Hope this helps!!

Answer:

the answer would be d 5/2

Step-by-step explanation:

u would so a fraction put 20/8 ans simplify the exact form would be 5/2

I insist its B, however D is the teachers answer. What is the answer.

Answers

Considering the roots of function f(x), the correct statement is given by:

D. f has exactly two zeros of [0,4].

What are the roots of a function?

The roots of a function are the values of x for which f(x) = 0.

In this problem, we have that:

f(2) = 0, hence x = 2 is a root.f(3) < 0 and f(4) > 0, meaning that between x = 3 and x = 4, there is a root of a function, as to go from negative to positive, it has to pass through f(x) = 0.

For values of x less than 2 on the interval, the function is never negative nor zero, hence there are no roots in that interval and option D is correct.

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6/17
2
The equation F = 9/5 C + 32 is used to convert Celsius temperature to Fahrenheit
temperatures. C is the temperature in degrees Celsius. What is the temperature in
degrees Fahrenheit when the temperature in 35 in Celsius?
76
59
67
95

Answers

Answer:

the answer 95 degrees

Step-by-step explanation:

9/5*35*+32

The difference of two integers is 5. Twice the smaller integer is 8 more than the larger integer. What are the two integers?​

Answers

Answer:

18 and 13

Step-by-step explanation:

The two numbers are 13 and 18 respectively.

What is a expression? What is a mathematical equation?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions.A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have the difference of two integers is 5. Twice the smaller integer is 8 more than the larger integer.

Assume the number to be [x] and [y]. We can write -

x - y = 5

2y = x + 8

2y = 5 + y + 8

y = 13

Then -

x = 13 + 5

x = 18

Therefore, the two numbers are 13 and 18 respectively.

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WILL GIVE BRAINLIEST!!!!
Find the value of x.




25.8


12


6


14.7

Answers

radical 216 OR about 14.7

Answer:

its 14.7

Step-by-step explanation:

I Took The Test

After finding the fish you would like to take home to cook, you discover it cost $2 to wrap the fish and $4.50 per pound. Another vendor is selling another fish for a flat rate of $5 per pound. Explain how you could find the equivalent cost at each vendor.

Answers

The total cost of wrapping for both fishes are given by 4.5x + 2 and 5x respectively.

What is an equation?

An equation is used to show the relationship between numbers and variables. An equation can be linear, quadratic depending on the degree.

Let x represent the number of pounds of the fish.

For the first fish, cost = 4.5x + 2

For the second fish, cost = 5x

The total cost of wrapping for both fishes are given by 4.5x + 2 and 5x respectively.

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Translate (3, – 4) down 3 units.
Then reflect the result over the y-axis.

Answers

Answer:

Step-by-step explanation:

Best advice: make a sketch (which I can't do here).

When you reflect in the x axis, only the y value changes...so (3, -4) reflects to (3,4).

Translating down (i.e. in the negative direction) again means the x value (the abscissa) doesn't change, only the y value (the ordinate)...so the final value of the point is (3,1).

Solve. -3x + 6 > 48
x < - 10
x > - 10
x > - 14
x < - 14

Answers

Step-by-step explanation:

—Math

–3x + 6 > 48

–3x > 48 –6

–3x > 42 ==(divided by –3)

x < –14

Which of the following statements must be true if AGHI AJKL? Select all the apply.

Answers

Answer:hellos 6

Step-by-step explanation:

Isthsjsh

PLEASE HELP! I will give brainlist! Please help, I can't fail this test..
7 questions based on this exact same photo attached below - What is m<7, What is m<8, What is m<3, What is m<2, What is m<4, What is m

Answers

Answer:

b

Step-by-step explanation:

Um i dont knbow that

Shane used clay to make a cone with a height of 6 inches and a diameter of 4.5 inches for a sculpture. What is the volume of this cone? 6 in. V=​

Answers

Answer:

go look at my first question

Step-by-step explanation:

Does 12cm, 7cm, 5cm, make a triangle

Answers

Answer:

No, it doesn't.

Step-by-step explanation:

In order to find what makes a triangle, lets use the Triangle Inequality Theorem!

This theorem can help us show whether the sum of two side lengths of a triangle is greater than the third side or not

Here is our formula(s):

1.) a + b > c

2.) a + c > b

3.) b + c > a.

Lets make a=12, b=7, & c=5

1.) 12 + 7 > 5

    19 > 5

2.) 12 + 5 > 7

       17 > 7

3.) 7 + 5 > 12

      10 > 12

As you can see, both numbers 1 and 2 shows to be correct but 3 is not. Therefore it doesn't make a triangle. Remember, if all the two side lengths of a triangle is greater than the third side, then it makes a triangle.

please helpp!!

Ron asked 18 classmates whether they prefer granola bars over muffins. He used a calculator to compare the number of classmates who said yes to the total number he surveyed. The calculator showed the result as 0.66666667. Write this number as a fraction.

Answers

Answer:

2/3

Step-by-step explanation:

0.6666667 as a fraction is 2/3

Answer:

Part A = 2/3

Part B = 12

Step-by-step explanation:

2/3 of 18 would be 12

Hope this helped, have a great day

On a coordinate plane, how are the locations of the points (-3 , -8) and (3 , -8) related? A. reflection across the x-axis B. reflection across both axes C. reflection across the y-axis D. locations unrelated

Answers

Given:

The locations of the two points are (-3 , -8) and (3 , -8).

To find:

The relation between two points.

Solution:

From the given points (-3 , -8) and (3 , -8), it is clear that the y-coordinates are same but the sign of x-coordinates are opposite.

If a figure is reflected across the y-axis, then we change the sign of x-coordinate and the y-coordinates remain same, i.e.,

[tex](x,y)\to (-x,y)[/tex]

For (3,-8),

[tex](3,-8)\to (-3,-8)[/tex]

So, it is reflection across the y-axis.

Therefore, the correct option is C.

Answer:

reflection across the x-axis

Table of values are provided for functions f(x) = |x| and g(x) = -|x +2|+3.

Complete the table of values for the missing values of g(x).

Answers

Answer:

for answer to be 2

mod of x +2 should be equal to 1

so the answer will be x = -3 or -1

for x = 1 we will get gx 0

for g(x) = -2 mod x +2 should be equal to 5

so x is -7 or 3

what is the range of the function graphed below?

Answers

Answer: A

Why?
Range is the y axis so the line goes up to 2 but doesn’t go up past that, however, it goes down for infinity so it has to be -infinity less than y less than 2

Hope this helps :D

A plane traveled 3355 miles with the wind in 5.5 hours and 2585 miles against the wind in the same amount of time. Find the speed of the plane in still air and the speed of the wind.

HELP QUICKKKKK

Answers

Answer:

Speed of the plane in still air is 540 mph,Speed of the wind is 70 mph

=======================

Let the speed of plane is x and speed of the wind is y.

The speed of the plane with the wind is x + y and speed of the plane against the wind is x - y.

Equation for speed:

speed = distance / time

Since the same amount of time spent in both cases, we can set equations:

x + y = 3355/5.5 ⇒ x + y = 610x - y = 2585/5.5  ⇒ x - y = 470

Add up the two equations and solve for x:

x + y + x - y = 610 + 4702x = 1080x = 540

Find y:

540 + y = 610y = 610 - 540y = 70

Triangle ABC has coordinates A (0, 4), B (1, 3), and C (-2, 4). If triangle ABC is reflected over the x axis and then translated such that (x, y) → (x+3, y-1), what is the resulting image of point C?

Answers

The resulting image of point C is C''(x, y) = (1, - 5).

What are the coordinates of the image of a point by using a rigid transformation?

The triangle seen on the Cartesian plane is generated by three points on that plane. The image of the triangle is the result of reflecting the three vertices over the x axis and later translating them 3 units in the +x direction and a unit in the - y direction, two kinds of rigid transformations.

Now we proceed to show the entire procedure:

Reflection over the x-axis

C'(x, y) = C(x, y) + (0, - 2 · c)

C'(x, y) = (- 2, 4) + (0, - 8)

C'(x, y) = (- 2, - 4)

Translation

C''(x, y) = (- 2, - 4) + (3, - 1)

C''(x, y) = (1, - 5)

The resulting image of point C is C''(x, y) = (1, - 5).

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whats 2+2x (7/7)= to

Answers

Answer:

2+2x(7/7)= 0 (you do what's in the parenthesis first)

2+ 2x (1) =0 (then you multiply, and anything times 1 is itself)

2 + 2x= 0 (subtract 2 from both sides to get the x-term alone)

2x= -2 (divide both sides by 2 to get x isolated)

x= -1 (is your answer)

A ball is thrown from a height of 40 meters with the initial downward velocity of 5 m/s. the ball's height h ( in meters) after t seconds is given by the following
h= 40 - 5t -5t^2
How long after the ball is thrown does it hit the ground?
round your answer(s) to the nearest hundredth.

Answers

The time which it will take for the ball to hit the ground after bring thrown from a height of 40 meters as described in the task content is; 2.37 seconds.

How long will it take for the ball thrown to hit the ground after being thrown from a height of 40meters?

It follows from the task content that the equation given for the height, h in meters of the ball thrown is;

h = 40 - 5t - 5t²

Therefore, when the ball hits the ground, the height at this point is; 0.

0 = 40 - 5t - 5t²

Divide through by -5 so that we have;

t² + t - 40 = 0.

Hence, by solving using the quadratic formula; the values of t are;

t = 2.37 sec or -3.37 sec.

Ultimately, since the time taken can only have a positive value, it follows that the time taken by the ball to hit the from the 40 meters height is; t = 2.37.

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can someone please answer this quickly?
2(6p-5) 30p - 8) -1
thank you!​

Answers

Answer:

21

Step-by-step explanation:

What is the problem to 20x40+50?

Answers

Answer: 130

Step-by-step explanation:

20 X 40 = 80 + 50. = 130

how would you classify the number 125?
a. perfect square
b. perfect cube
c. both
d. none

Answers

Answer:

A perfect cube *sorry*

Step-by-step explanation:

125 squared is not possible

125 cubed = 5*5*5

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