If y= cx" and dy/dx =
4/root x

what are the values of c and n?

If Y= Cx" And Dy/dx =4/root Xwhat Are The Values Of C And N?

Answers

Answer 1

Answer:

c = 8

n = 1/2

Step-by-step explanation:

Since dy/dx is the derivative form, we can integrate the answer to get the value of y.

If Y= Cx" And Dy/dx =4/root Xwhat Are The Values Of C And N?
Answer 2

The values of c and n are obtained by forming the equations as 1/2 and 8 respectively.

What is differentiation?

The differentiation of a function is defined as rate of change of its value at a point. It can be written as f'(x) = (f(x + h) - f(x)) /(x + h - x).

It can be stated in terms of geometry as the slope of tangent of the function at a given point.

It is given as y = cxⁿ and dy/dx = 4/√x.

Take the derivative of y = cxⁿ with respect to x as,

dy/dx = cd(xⁿ)/dx

⇒ nc × xⁿ⁻¹

Compare the obtained derivative with 4/√x to obtain,

nc = 4   and  n - 1 = -1/2

⇒ n = 1/2 and c = 8

Hence, the values of c and n are 1/2 and 8 respectively.

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Related Questions

what is 473.2608 rounded to the nearest tenth

Answers

Answer:

473.2608 rounded to the nearest tenth Is 473.3

Step-by-step explanation:

given that angle one is approximately equal to angle two, and angle three is approximately equal to angle one, prove line xy is parallel to line wv (using the statements and reasons columns)​

Answers

Answer :

Statements :-

1. Segment XY is parallel to segment WV.

2. Angle 1 is congruent to angle 2.

3. Angle 3 is congruent to angle 1.

4. Angle XMY is congruent to angle VMW.

Reasons :-

1. Given

2. Given

3. Given

4. SSS (Side-Side-Side)

Hope this helps, thank you !!

What are the domain restrictions of q^2-3q-4/q^2-7q-8

Answers

Fourth option.

We cannot divide by zero, so the denominator cannot equal zero.

0 = q^2 - 7q - 8
0 = (q - 8) * (q + 1)

0 = q - 8 when q = 8
0 = q + 1 when q = -1

So q cannot equal 8 or -1

Which of the following are mathematical sentences? Check all that apply.
A. 144 +7
B. X-49
c. 4
D. 5g=31
E. 3>2
F. 1+12 = x

Answers

The answer is D 5G equal 31

The Miller family likes to paddle along the North River.
1. They paddled the same distance each day throughout the course of 3 days, traveling a total of 14 miles. How many miles did they travel each day ?
write the mixed number you got

Answers

4 2/3 think of how many time you can put 3 into 14 the section out the rest

Answer:

4 2/3

Step-by-step explanation:

the millers travled 4 2/3

Adult tickets to the fall play cost $6 and student tickets cost $3. The drama class sold 25 more student tickets than adult tickets to the fall play. If the class collected $660 from ticket sales, how many student tickets were sold?
The drama class sold how many tickets?
The solution is?

Answers

9514 1404 393

Answer:

90 student tickets65 adult tickets

Step-by-step explanation:

For many "mixture" problems, it is convenient to use a variable for the quantity of the highest contributor. Here, we can use 'a' to represent the number of adult tickets, because adult tickets cost the most. Then the number of student tickets is (a+25), and the total revenue is ...

  6a +3(a+25) = 660

  9a +75 = 660

  9a = 585

  a = 65

  (a+25) = 90

The drama class sold 90 student tickets and 65 adult tickets.

Jackie has $250 in her bank account and makes $25 every time she babysits. Write an expression in simplest form representing how much Jackie has in her account after babysitting t times

Answers

Step-by-step explanation:

y = 25t + 250

y is the total amount

t is number of times babysitting

Write the following rate in simplest forms.

1. 333 calories burned in 55 minutes.

2. 4 million hits on a website in 16 months.

3. 279 points in 27 games.

4. $49 for 448 photos.

5. 6 pounds of zucchini for 24 servings.

Answers

Answer(s): 333/55, 1/4, 31/3, 7/64.


Explanation: 333/55 is already in simplest form
(4/16)/(4/4)=1/4

(279/27)/(9/9)=31/3

(49/448)/(7/7)=7/64

A number x is three times the value of number y. A number z is eight times the value of y. The sum of
the three numbers is 528. What are the 3 numbers (HINT: This problem requires 3 equations to solve!!

Answers

Step-by-step explanation:

y=a

x= 3a

z=8a

3a+8a+a=524

12a=528

a=44

X=3×44=132

z=8×44= 352

Answer:

y=a

x= 3a

z=8a

3a+8a+a=524

12a=528

a=44

X=3×44=132

z=8×44= 35

2

Step-by-step explanation:

Segment AB is dilated from the origin to create segment A prime B prime at A' (0, 4) and B' (4, 6). What scale factor was segment AB dilated by?

Answer choices:
A. 1/2
B. 2
C. 3
D.4

Answers

Given:

Endpoint of segment AB are A(0,2), B(2,3).

Segment AB is dilated from the origin to create segment A prime B prime at A' (0, 4) and B' (4, 6).

To find:

The scale factor of dilation.

Solution:

If a figure is dilated about the origin with factor k, then

[tex](x,y)\to (kx,ky)[/tex]

Using this rule, we get

[tex]A(0,2)\to A'(k(0),k(2))[/tex]

[tex]A(0,2)\to A'(0,2k)[/tex]

So, the image of A is A'(0,2k).

It is given that image of A is A'(0,4). So,

[tex]A'(0,2k)=A'(0,4)[/tex]

On comparing the y-coordinates from both sides, we get

[tex]2k=4[/tex]

[tex]k=\dfrac{4}{2}[/tex]

[tex]k=2[/tex]

Therefore, the scale factor is 2 and the correct option is B.

Dilation involves changing the size of a line

The scale factor is 2.

From the graph, the coordinates of AB are:

[tex]\mathbf{A = (0,2)}[/tex]

[tex]\mathbf{B = (2,3)}[/tex]

The coordinates of AB are:

[tex]\mathbf{A' = (0,4)}[/tex]

[tex]\mathbf{B' = (4,6)}[/tex]

Divide A' by A or B' by B to calculate the scale ratio (k)

[tex]\mathbf{k = \frac{A'}{A}}[/tex]

So, we have:

[tex]\mathbf{k = \frac{(0,4)}{(0,2)}}[/tex]

Expand

[tex]\mathbf{k = \frac{2(0,2)}{(0,2)}}\\[/tex]

Divide

[tex]\mathbf{k = 2}\\\\\\\\[/tex]

Hence, the scale factor is 2.

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The power, P (watts), of a car engine is proportional to the square of its speed, s (m/s).
When s = 35, P = 1760.
Work out the power (to 1 DP) when the speed is 40 m/s

Answers

Answer:

P = 2288 W

Step-by-step explanation:

The power, P (watts), of a car engine is proportional to the square of its speed i.e.

[tex]P\propto s^2[/tex]

or

[tex]P=ks^2[/tex]

Put s = 35, P = 1760 to find k.

[tex]k=\dfrac{P}{s^2}\\\\k=\dfrac{1760}{35^2}\\\\k=1.43[/tex]

Now put k = 1.43 and s = 40. So,

[tex]P=1.43\times (40)^2\\\\P=2288\ W[/tex]

So, the new power is 2288 W when the speed is 40 m/s.

Shape p is translated to shape Q using vector (a b).
Please find A.
Photo attached.

Answers

Answer:

-7

Step-by-step explanation:

you basically just move across and because its moving to the left its a negative

Shape P is translated to shape Q using b[tex]\left[\begin{array}{ccc}7\\4\end{array}\right][/tex]..

What is translation of a graph?

In mathematics, a translation is the up, down, left, or right movement of a shape. Because the translated shapes appear to be exactly the same size as the original ones, they are congruent with one another.

Given:

The shape P is mentioned on the graph is translated to shape Q.

So, the shape shifted 7 units to left.

and, the shape needs to shift downwards 4 places.

Hence, the required vector is [tex]\left[\begin{array}{ccc}7\\4\end{array}\right][/tex].

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Katie uses 12 cups of flour and sugar to make cookies. The amount of flour is four more than three times the amount of sugar. How many cups of flour are in this recipe?
The solution is?

Answers

Answer:

146

Step-by-step explanation:

because 3times the cups is 36

so four times more 36

There are 13 cups of flour in this recipe when Katie uses 12 cups of flour and sugar to make cookies. The amount of flour is four more than three times the amount of sugar.

Let's assume the amount of sugar used in the recipe is represented by the variable "s."

According to the given information, the amount of flour used is four more than three times the amount of sugar. In mathematical terms, this can be expressed as:

Flour = 3s + 4

Now, we know that Katie uses 12 cups of flour in the recipe. We can set up an equation to solve for the amount of sugar:

12 = 3s + 4

Subtracting 4 from both sides of the equation:

12 - 4 = 3s

8 = 3s

Dividing both sides by 3:

8/3 = s

s = 2.67

Since the number of cups of sugar must be a whole number, we can round the value to the nearest whole number. Thus, s ≈ 3.

Now, we can find the amount of flour by substituting the value of sugar into the equation:

Flour = 3s + 4

Flour = 3(3) + 4

Flour = 9 + 4

Flour = 13

Therefore, there are 13 cups of flour in this recipe.

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You start driving north for 24 miles, turn right, and drive east for another 10 miles. At
the end of driving, what is your straight line distance from your starting point?

Answers

Answer:

26 miles.

Step-by-step explanation:

To solve this problem, the Pythagorean theorem must be applied, which states that the hypotenuse squared of every right triangle is equal to the sum of its squared legs, that is, A^2 + B^2 = C^2 .

Therefore, applying this formula, to determine the distance in a straight line from the starting point to the driving end point, the following calculation must be performed:

24^2 + 10^2 = X^2

576 + 100 = X^2

√676 = X

26 = X

Thus, the distance between the two points is 26 miles.

Rewrite the following polynomial in standard form

Answers

Answer:

-7x³ - ⅑x - 1

Step-by-step explanation:

A polynomial written in standard form would be written in such a way that the term with the highest degree comes first, followed by the second highest and so on, then what comes last is the constant.

Given the polynomial -7x³ - 1 - ⅑x, -7x³ with the highest degree comes first, followed by -⅑x, and then the constant, -1, comes last.

Thus, we would have:

✅-7x³ - ⅑x - 1

cos(2x) + sin^2(x) = 0

Answers

cos(2θ) + sin²(θ) = 0

Half-angle identity:

cos(2θ) + (1 - cos(2θ))/2 = 0

Simplify:

2 cos(2θ) + 1 - cos(2θ) = 0

cos(2θ) = -1

Solve for θ :

2θ = arccos(-1) + 2

2θ = π + 2

θ = π/2 +

where n is any integer.

Simplify
(5 - 4x) (6 + 7x)

Answers

Answer:

30+11x−28x2

Step-by-step explanation:

it is 30+11x-28x2

Solve the system of linear equations by substitution.

−5x+y=−7
−3x−2y=−12

Please help I'm having panic attacks about failing this test and failing the class this is my last test and I have a C please help

Answers

Answer:

[tex]x = 2 \\ y = 3[/tex]

[tex] - 5x + y = - 7.......(1) \\ - 3x - 2y = - 12......(2) \\ from \: (1) \\ y = - 7 + 5x \\ substitute \: in \: (2) \\ - 3x - 2( - 7 + 5x) = - 12 \\ - 3x + 14 - 10x = - 12 \\ [/tex]

[tex] - 13x = - 26 \\ x = \frac{ 26}{13} \\ x = 2[/tex]

[tex]y = - 7 + 5x \\ = - 7 + 5 \times 2 \\ = - 7 + 10 \\ y= 3[/tex]

What is the cos A? ....

Answers

Answer:

4/5

Step-by-step explanation:

4/5
CosA= A/H
Adjacent/hypotenuse


QUESTION: A survey of students in a homeroom class explored the
relationship between gender and participation in the school band. What
is a reasonable conclusion to draw from the data?*

Answers

Answer:

ill say its c but im not that sure

Step-by-step explanation:

180 miles in 4 hours at what rate how long will it take to drive 270 miles

Answers

Answer:

6

Step-by-step explanation:

180 / 4 = 45

45mi = 1hr

270 / 6 = 45

Find an equation of the straight line that is perpendicular to y=2x+1 and passes through the point (-2,5)

Answers

Answer:

y = -1/2x + 4

Step-by-step explanation:

to answer this question you need to find the slope and the y-intercept

to find the slope of a line that is perpendicular to another line you take the opposite and reciprocal of the slope of the first line

in this case the slope of the initial line is 2; therefore, the opposite reciprocal is -1/2

knowing slope ('m') = -1/2 and having the point (-2, 5) can give us the y-intercept of the new line; we start with:

y = mx + b  and then plug the values in so find the y-intercept ('b')

5 = (-1/2)(-2) + b

5 = 1 + b

b = 4

put it all together:  y = -1/2x + 4

Which of the following statements about this function's domain is true?


A.) Domain: 0≤x≤16 and 0 The domain represents all of the values that were measured in this problem.


B.) Domain: 0≤y≤16
The domain represents the set of all possible inputs - the times when depth was measured.


C.) Domain: 0 The domain represents the set of all possible outputs - the various depths of the pool.


D.) Domain: 0≤x≤16
The domain represents the set of all possible inputs - the times when depth was measured.

Answers

Answer:

D.) Domain: 0≤x≤16

The domain represents the set of all possible inputs - the times when depth was measured

Step-by-step explanation:

Domain of a function is the possible set of inputs which are usually plotted on the x-axis, while range are corresponding outputs plotted on the y-axis.

In this case, the domain is the set of all possible inputs (x-values), which represents the times the depth was measured.

Domain ranges from 0 to 16. Thus:

Domain: 0 ≤ x ≤ 16

f(x)=x-7 and g(x)=2x-3
find f(g(4))

Answers

Answer:

f(g(4)) = -2

Step-by-step explanation:

First, find g(4) by plugging in 4 as x into the function:

g(x) = 2x - 3

g(4) = 2(4) - 3

g(4) = 8 - 3

g(4) = 5

f(g(4)) can be found by finding f(5), since g(4) = 5

Find f(5) by plugging in 5 into the function:

f(x)= x - 7

f(5) = 5 - 7

f(5) = -2

So, f(g(4)) = -2

PLEASE HELP I WILL GIVE BRAINLIEST

Answers

9514 1404 393

Answer:

  48

Step-by-step explanation:

Evaluate each of the functions by putting the number where x is.

  [tex]g(x)=x^2-4\\\\g(-7)=(-7)^2-4=49-4\\\\\boxed{g(-7)=45}\\\\f(x)=x+4\\\\f(-7)=-7+4\\\\\boxed{f(-7)=-3}[/tex]

Then the difference is ...

  g(-7) -f(-7) = 45 -(-3) = 45 +3 = 48

Answer:

solution given;

g(x)=x²-4

f(x)=x+4

Now

g(-7)-f(-7)=(-7)²-4-(-7+4)=49-4+3=48

48 is a required answer.

The area of a circle is 9πft^2. What is the circumference in feet?

Answers

Answer:

98

Step-by-step explanation:

Answer:

6π ft

Step-by-step explanation:

Area:

A = πr²

Circumference:

C = 2πr

Substitute values in area:

πr² = 9πr² = 9r = 3 ft

Circumference is:

C = 2π*3 = 6π

Need help with math who is up points and brainlest for you !!

Answers

X=8 because on the small right angle it says 3 so I don’t know if they have doubled it to make 6 on the other shape so that is my guess

Answer:

8ft

Step-by-step explanation:

Use similarity and congruence

AB/ED=AC/EF

3/6=4/X

CROSS MULTIPLICATION

3X=6*4

3X=24

X=8ft

Work out the value of 3 \times(3^2 + 4) - 83×(32+4)−8

Answers

Answer:Conversion a mixed number 8 1/

4

to a improper fraction: 8 1/4 = 8 1/

4

= 8 · 4 + 1/

4

= 32 + 1/

4

= 33/

4

To find new numerator:

a) Multiply the whole number 8 by the denominator 4. Whole number 8 equally 8 * 4/

4

= 32/

4

b) Add the answer from previous step 32 to the numerator 1. New numerator is 32 + 1 = 33

c) Write a previous answer (new numerator 33) over the denominator 4.

Eight and one quarter is thirty-three quarters

Conversion a mixed number 3 2/

5

to a improper fraction: 3 2/5 = 3 2/

5

= 3 · 5 + 2/

5

= 15 + 2/

5

= 17/

5

To find new numerator:

a) Multiply the whole number 3 by the denominator 5. Whole number 3 equally 3 * 5/

5

= 15/

5

b) Add the answer from previous step 15 to the numerator 2. New numerator is 15 + 2 = 17

c) Write a previous answer (new numerator 17) over the denominator 5.

Three and two fifths is seventeen fifths

Subtract: 33/

4

- 17/

5

= 33 · 5/

4 · 5

- 17 · 4/

5 · 4

= 165/

20

- 68/

20

= 165 - 68/

20

= 97/

20

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(4, 5) = 20. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 4 × 5 = 20. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - thirty-three quarters minus seventeen fifths = ninety-seven twentieths.

Conversion a mixed number 2 1/

3

to a improper fraction: 2 1/3 = 2 1/

3

= 2 · 3 + 1/

3

= 6 + 1/

3

= 7/

3

To find new numerator:

a) Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2 * 3/

3

= 6/

3

b) Add the answer from previous step 6 to the numerator 1. New numerator is 6 + 1 = 7

c) Write a previous answer (new numerator 7) over the denominator 3.

Two and one third is seven thirds

Subtract: 7/

3

- 1/

4

= 7 · 4/

3 · 4

- 1 · 3/

4 · 3

= 28/

12

- 3/

12

= 28 - 3/

12

= 25/

12

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(3, 4) = 12. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 3 × 4 = 12. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - seven thirds minus one quarter = twenty-five twelfths.

Subtract: the result of step No. 3 - the result of step No. 5 = 97/

20

- 25/

12

= 97 · 3/

20 · 3

- 25 · 5/

12 · 5

= 291/

60

- 125/

60

= 291 - 125/

60

= 166/

60

= 2 · 83/

2 · 30

= 83/

30

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(20, 12) = 60. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 20 × 12 = 240. In the next intermediate step , cancel by a common factor of 2 gives 83/

30

.

In words - ninety-seven twentieths minus twenty-five twelfths = eighty-three thirtieths.

Step-by-step explanation:took a lot of time brainliest plz

What is 23% over a 100​

Answers

Answer:

0.0023 or 23 / 10000

Step-by-step explanation:

23% = 0.23

0.23 / 100 = 0.0023

Answer:

23

Step-by-step explanation:

anything over 100 s a percent

like 15/100 is 15%

Solve each equation.
40 = -8(x + 2)

Answers

Answer:

x = -7

Step-by-step explanation:

it’s right!

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