I need help please I'm stuck on this question

The derivative of the function y = x(6x + 1)⁵ is: dy/dx = (6x + 1)⁵ + 30x(6x + 1)⁴

To find the derivative of the given function, we can apply the rules of differentiation. Using the product rule, we differentiate each term separately and then add them together.

For the first term x, the derivative is simply 1.

For the second term (6x + 1)⁵, we apply the chain rule. The derivative of (6x + 1)⁵ with respect to x is 5(6x + 1)⁴ multiplied by the derivative of the inner function 6x + 1, which is 6.

Multiplying these derivatives together, we get (6x + 1)⁵ * 6 = 6(6x + 1)⁵.

For the third term x(6x + 1)⁴, we again apply the product rule. The derivative of x is 1, and the derivative of (6x + 1)⁴ is 4(6x + 1)³ multiplied by the derivative of the inner function 6x + 1, which is 6.

Multiplying these derivatives together, we get x * 4(6x + 1)³ * 6 = 24x(6x + 1)³.

Finally, we add the derivatives of each term to get the derivative of the entire function: dy/dx = (6x + 1)⁵ + 30x(6x + 1)⁴.

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Complete question:

Use the rules of differentiation to find the derivative of the function y= x(6x + 1)⁵

(6x + 1)⁵ + 30x(6x + 1)⁴

(6x + 1)⁴ (36x + 1)

x-1/6

No correct answer provided.

Answer:

--------------------

We see x - 2 is the common factor in the given expression.

Simplify as:

Answer:

10x - 20

Step-by-step explanation:

distribute the 3 and the 7 into the parentheses, getting you to (3x - 6) + (7x - 14), from there you should be able to just combine the like terms getting you to 10x - 20.

Data:

Loan=$278 at 10%

A simple interest is calculated for payments on the initial capital.

If the total interest was $174.12.

If the interest is on a year. You calculated the interes of one year. The 10% of $278:

In a year the interest is $27.8.

Then, $174.12 divided into $27.8 is the number of years of the loan:

The inference shows that the author uses paragraph 1 to B. show that science and fun are linked.

An inference simply means the conclusion that can be deduced from the information given on an excerpt.

In this case, the inference shows that the author uses paragraph 1 to show that science and fun are linked. This was illustrated in the story about roller coasters.

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Answer:

The correct answer is B

Step-by-step explanation:

I took this test

Answer:

Slope (m) =ΔY=1=1θ =arctan( ΔY)ΔX=45° =14π

ΔX = 9 – 5 = 4

ΔY = 4 – 0 = 4

Distance (d) = √ΔX2 + ΔY2 = √32 = 5.6568542494924

y = x – 5

When x=0, y = -5

When y=0, x = 5

Step-by-step explanation:

hope this helps If not please let me now

Answer:

CD = 16

Step-by-step explanation:

Segments EF and EC are tangent and secant respectively to the circle drawn from external point E.

Thus, by tangent-secant theorem:

\(ED\times EC= EF^2\)

\(\implies x(x+x+7)= (15)^2\)

\(\implies 2x^2+7x= 225\)

\(\implies 2x^2+7x-225=0\)

Comparing above quadratic equation with \(ax^2+bx+c=0\), we find:

a = 2, b = 7, c = -225

Now, we find the value of the discriminant

\(\implies b^2-4ac= (7)^2-4(2)(-225)= 1849\)

Now, by quadratic formula:

\(x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\)

\(\implies x=\frac{-7\pm\sqrt{1849}}{2(2)}\)

\(\implies x=\frac{-7\pm (43)}{4}\)

\(\implies x=\frac{-7+ 43}{4}\: or\:x=\frac{-7- 43}{4} \)

\(\implies x=\frac{36}{4}\: or\:x=\frac{- 50}{4} \)

\(\implies x=9\: or\:x=-12.5 \)

x represents length, so it can't be negative.

\(\implies x\neq -12.5\)

\(\implies x=9\)

CD = x + 7

-> CD = 9 + 7

-> CD = 16

Answer:

Step-by-step explanation:

Answer:

180-62 = 118⁰

x = 118⁰

..

.

Answer:

x= -6

Step-by-step explanation

1: subtract

2:  divide

3: simplify  

Therefore, the answer is:

a. Yes

To determine whether the given function y = x is a solution of the differential equation \(xy' - y = 0,\) we need to substitute \(y = x\) and \(y' = 1\) into the differential equation and check whether the equation is satisfied.

Substituting \(y = x\) and \(y' = 1\), we get:

x(1) - x = 0

Simplifying the equation, we get:

0 = 0

Since this equation is true regardless of the value of x, we can conclude that y = x is indeed a solution of the differential equation \(xy' - y = 0\).

Therefore, the answer is:

a. Yes

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Answer:

A is the answer

the test of the options are not the answer

Given |x - 2| <= 4, which of the following equation is C. x - 2 <= 4 && x - 2 >= -4.

The absolute value of (x - 2) represents the distance between x and 2 on the number line. The inequality |x - 2| <= 4 means that the distance between x and 2 is less than or equal to 4.

To solve for x, we can break it down into two inequalities:
1. x - 2 <= 4, which means x <= 6
2. -(x - 2) <= 4, which means -x + 2 <= 4, then -x <= 2, then x >= -2

Combining these two inequalities, we get:
x - 2 <= 4 && x - 2 >= -4

Therefore, the correct answer is C.

When solving an inequality involving absolute value, it's helpful to break it down into two separate inequalities and then combine them. In this case, we found that the correct answer is C.

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The standard deviation of the sampling distribution of sample means is 0.054 pounds.

Now, let's consider the standard deviation of the sampling distribution of sample means. This is a measure of how much the means of different samples of the same size vary from each other. It is also referred to as the standard error of the mean (SEM). The formula for calculating the SEM is:

SEM = standard deviation of population / square root of sample size

In this case, the population is all people on this diet, and the standard deviation of the population is given as 4.9 pounds. The sample size is 8282 people. Therefore, we can calculate the SEM as:

SEM = 4.9 / square root of 8282

= 0.054 pounds

This means that the means of different samples of 8282 people on this diet are expected to deviate from each other by an average of 0.054 pounds.

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Answer:

a1 3/2

a2 -2

b none of these are technically correct but the closest would be b4

Step-by-step explanation:

y2 - y1 / x2 - x1

7 - 1 / 4 - 0

6/4 ~ 3/2

y = 3/2x + 1

y2 - y1 / x2 - x1

-5 + 1 / 1 + 1

-4/2 ~ -2

y = -2x - 3

is it 2x - 45 or is it 2x - 4 5 can you write the question again in comment

Answer:

Selecciona la alternativa donde NO se ocupan números enteros

a) Recorrido de un ascensor.

b) La temperatura ambiental.

c) La talla de zapatos

1.

For the vertex (-3, 2) and focus (1, 2):

a. Find the value of p, which is the distance between the vertex and focus:

   p = |-3 - 1| = 4

b. Use the value of p to determine the equation of the parabola:

    The equation is y² = 4p(x - h), where h is the x-coordinate of the vertex:

    Substitute the values: y² = 4(4)(x + 3)

    Simplify: y² = 16(x + 3)

c. The equation of the parabola is y² = 16(x + 3).

2.

For the vertex (4, -2) and focus (-2, 0):

a. Find the value of p, which is the distance between the vertex and focus:

   p = |-2 - 4| = 6

b. Use the value of p to determine the equation of the parabola:

   The equation is y² = 4p(x - h), where h is the x-coordinate of the vertex:

    Substitute the values: y² = 4(6)(x - 4)

    Simplify: y² = 24(x - 4)

c.   The equation of the parabola is y² = 24(x - 4).

3.

For the vertex (2, 2), latus rectum 12, opens to the right:

a. Find the value of 4a, which is the length of the latus rectum:

   4a = 12

   a = 12/4 = 3

b. Use the value of a and the vertex coordinates to determine the equation of the parabola:

    The equation is (y - k)² = 4a(x - h), where (h, k) are the vertex coordinates:

     Substitute the values: (y - 2)² = 4(3)(x - 2)

     Simplify: (y - 2)² = 12(x - 2)

c. The equation of the parabola is (y - 2)² = 12(x - 2).

The equation of the parabola for the first case is y² = 16(x + 3).

The equation of the parabola for the second case is y² = 24(x - 4).

The equation of the parabola for the third case is (y - 2)² = 12(x - 2).

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Answer:

67 to be at work by the end if your here and we can go to the group and we will be in the office Andy I have to go to work and come back to you and get to you by the end of siliconeyiq and the next day or spiral ham and cheese for the day but will be in a

The possible number of ways the 7-question test can be answered: 128

In this question, we have been given a true-false test contains 7 questions.

We need to find the possible number of combinations (ways)  the 7-question test can be answered.

As, it is a true-false test, there are 2 choices per problem.

The number of problems = 7

so,  the possible number of ways  the 7-question test can be answered: 2*2*2*2*2*2*2

= 2^7

= 128

Therefore, in 128 different ways the 7-question test can be answered.

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Answer:

5600x10=56000

56000=B ten thousands

Answer:

Ten Thousands

Step-by-step explanation:

5,600x10=56000

So the 5 will be in the ten thousand place if u get a chart/

ignore the numbers on the chart

The position and label of the given right angle triangle ΔX Y Z whose hypotenuse will be 3.16 b have been plotted.

A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.

In a triangle, the sum of all three angles is 180°

Triangle is a very common figure to deal with our daily life for example in our daily life to measure the height of any tower then there is a huge application of the right angle triangle.

Given the right-angle triangle ΔX Y Z

XY = b(base) and XZ = 3b(perpendicular).

By Pythagoras theorem,

Hyp² = Base² + Perp²

Hyp² = b² + (3b)²

Hyp² = 10b²

Hyp = 3.16b

Hence "The position and label of the given right angle triangle ΔX Y Z whose hypotenuse will be 3.16 b have been plotted".

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Answer:

70 sq. in

Step-by-step explanation:

Area of the figure

= ( 10 x 5 ) + ( 5 x 4 )

= 50 + 20

= 70

= 70 sq. in

They are used in navigation, astronomy, and surveying. Rays are also used in computer graphics, physics, and optics. In addition, rays are used in the study of optics to describe the behavior of light as it travels through different mediums.

According to the video above, the geometric object called a ray has the characteristics that it has one endpoint and extends in away from that endpoint without end.A ray is a line that starts at a single point and extends in one direction to infinity. Rays are commonly used in geometry to explain lines and line segments. A ray has one endpoint, called the endpoint of the ray, from which it starts. The other end of the ray continues in the direction in which it is pointed without any limit. A ray is named by using its endpoint and another point on the ray, with the endpoint first. For example, if ray A starts at point P and passes through point Q, we write the name of the ray as ray PAQ or ray QAP. Rays can be part of line segments and other geometric objects. They can also be used to explain angles and the direction of a light source. Rays are commonly used in mathematics, science, and engineering.

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Answer:

24

Step-by-step explanation:

hello

8=2*2*2

6=2*3

so the next time they both croak all together is 2*2*2*3=24

hope this helps

Answer:

Can you give me the answer for these questions? Pleaseeeee I need 7 and 8

Step-by-step explanation:

The rectangular equation x² + y² - 2x + 8y = 0 can be represented in polar form as r = 8sin(θ) - 2cos(θ). d.

To convert the given equation x² + y² - 2x + 8y = 0 from rectangular form to polar form, we'll use the following conversions:

x = r cos(θ)

y = r sin(θ)

Let's substitute these values into the equation and simplify:

(x² + y²) - 2x + 8y = 0

[(r cos(θ))² + (r sin(θ))²] - 2(r cos(θ)) + 8(r sin(θ)) = 0

[r² cos²(θ) + r² sin²(θ)] - 2r cos(θ) + 8r sin(θ) = 0

r² (cos²(θ) + sin²(θ)) - 2r cos(θ) + 8r sin(θ) = 0

r² - 2r cos(θ) + 8r sin(θ) = 0

Now the equation is in polar form, r² - 2r cos(θ) + 8r sin(θ) = 0.

Comparing this equation with the given options, we can see that the correct answer is:

r = 8sin(θ) - 2cos(θ)

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The price of rolls of film is $2.50 and the price camera batteries is $1.50.

of Two equations can be derived from the  question:

8f + 2b = 23 equation 1

6f + 2b = 18 equation 2

Where:

f = rolls of film

b = camera batteries

In order to determine the value of f, subtract equation 2 from 1

2f = 5

Divide both sides of the equation by 2

f = 2.50

In order to determine the value of b, substitute for f in equation 1:

8(2.50) + 2b = 23

20 + 2b = 23

2b = 23 - 20

2b = 3

b = 1.50

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dz/dt for the given functions is \(16a^3t^3 + 10a^3t^4\).

To find dz/dt for z(x, y) = \(xy^2 + x^2y\), x(t) = at^2, and y(t) = 2at, we'll use the chain rule.

Here's a step-by-step explanation:

Step 1: Find the partial derivatives of z with respect to x and y. \(∂z/∂x = y^2 + 2xy ∂z/∂y = 2xy + x^2\)

Step 2: Find the derivatives of x(t) and y(t) with respect to t. dx/dt = 2at dy/dt = 2a

Step 3: Apply the chain rule to find dz/dt. dz/dt = (∂z/∂x)(dx/dt) + (∂z/∂y)(dy/dt)

Step 4: Substitute the expressions from steps 1 and 2 into the chain rule equation. dz/dt = \((y^2 + 2xy)(2at) + (2xy + x^2)(2a)\)

Step 5: Replace x and y with their expressions in terms of t: x = at^2 and y = 2at. dz/dt = \(((2at)^2 + 2(at^2)(2at))(2at) + (2(at^2)(2at) + (at^2)^2)(2a)\)

Step 6: Simplify the expression.

dz/dt = \((4a^2t^2 + 4a^2t^3)(2at) + (4a^2t^3 + a^4t^4)(2a)\)

dz/dt = \(8a^3t^3 + 8a^3t^4 + 8a^3t^3 + 2a^5t^4\)

dz/dt = \(16a^3t^3 + 10a^3t^4\)

So, dz/dt for the given functions is \(16a^3t^3 + 10a^3t^4.\)

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According to a 2016 survey, the rate of smoking was higher for 12th graders, but only lower for 8th graders The survey shows that 4.8% of 8th graders and 10.5 of 12th graders smoke cigarettes daily.

It is, therefore, true that the rate of smoking was lower for 8th graders, but only higher for 12th graders. Therefore, it is essential to discourage people, especially young people, from smoking.

Smoking is a harmful habit that is associated with numerous health problems, including cancer, respiratory diseases, heart disease, and stroke. Therefore, it is essential to discourage people, especially young people, from smoking.

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