A number decreased by the sum of the number and 3

Using the Chain Rule, we have: dy/dx = f'(g(x)) * g'(x) = 1 * 1 = 1.The derivative of y with respect to x is 1.

When we compose a function, it may be possible to write it in a variety of different ways. Differentiating such functions can result in different derivatives, but the Chain Rule indicates that the derivatives of the compositions should be the same regardless of how the function is written, if the function is continuous and differentiable.For instance, consider the function f(x) = sin(x²). It can be written as f(g(x)) where g(x) = x² and f(x) = sin(x). Furthermore, it can be written as f(h(x)) where h(x) = x² and f(x) = sin(x). These are both compositions of functions, but they are different compositions that lead to different derivatives.However, if the function is a composite of differentiable functions, the Chain Rule tells us that the derivative of a composite function is the derivative of the outer function multiplied by the derivative of the inner function.

To find dy/dx if y = x using the Chain Rule with y as a composite of the following functions, we must first rewrite y as a composite function: y = f(g(x)) where g(x) = x and f(x) = x. This composite function can be written in a variety of different ways, such as y = f(h(x)) where h(x) = x and f(x) = x, or y = f(k(x)) where k(x) = x and f(x) = x. However, regardless of how we write it, the Chain Rule tells us that the derivative of y is equal to the derivative of the outer function (f(x) = x) multiplied by the derivative of the inner function (g(x) = x).

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Answer:

Step-by-step explanation:

The value of y is 18

Similar triangles have the same corresponding angle measures and proportional side lengths. The angles of the two triangle must be equal and it not necessary they have equal sides.

Therefore the corresponding angles of similar triangles are congruent and the ratio of corresponding sides of similar triangles are equal.

Therefore;

14/21 = 12/y

14y = 21 × 12

14y = 252

divide both sides by 14

y = 252/14

y = 18

Therefore the value of y is 18.

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Answer:

Research mo sa goole diba is a well known organisation and

Answer:

first answer is x= -5 second answer is y=7.

Step-by-step explanation:

7-5=2. 2+3=5.

7-1=6.

Answer:

C. 118,764

Step-by-step explanation:

118764/12=9897

3*4=12 which is why I divided it by 12.

Answer:

C.

Step-by-step explanation:

Answer:

image attached

Answer:

Kyle typed 574 words in 14 minutes. How many...........?????????

il.l just divide 574 divided by 14= 41

Step-by-step explanation:

:)

Answer:

41 like I said in the comments.

Step-by-step explanation:

The length of the lines GH and CH are 16 units and 12 units.

So, the measure of lines GH and CH:

We know that AC ⊥ GH hence cuts GH in two equal lines.

But,

We can observe that △GCH is an isosceles triangle.

Therefore, the length of the lines GH and CH is 16 units and 12 units.

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Answer:

Difference between Observational and Experimental Data

The data collected in the study is observational data.

Step-by-step explanation:

In an experimental study, the data collected is divided into two groups.  One group is the control group.  The other group is the treatment group (also known as the experimental group).  Data is gathered about the groups in order to compare their different outcomes and to draw conclusions if there is any causality based on the two variables.  With observational data, the researcher is interested in observing the variables to determine if there is any correlation.

Using the dot plot, it is found that a typical amount of chocolate chips in one of Shawn's cookies is around 4.56.

The dot plot is a graph shows the number of times each measure appears in the data-set.

Researching this problem on the internet, the dot plot states that:

The mean is given by:

M = (2 x 2 + 2 x 3 + 5 x 4 + 4 x 5 + 3 x 6 + 2 x 7)/(2 + 2 + 5 + 4 + 3 + 2) = 4.56.

Hence, a typical amount of chocolate chips in one of Shawn's cookies is around 4.56.

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Answer:

5 chocolate chips

Step-by-step explanation:

did on khan

Answer:

He will pay $1.20 sales tax.

Step-by-step explanation:

Answer:

8/9

Step-by-step explanation:

1 blue, 2 yellow, 7 red, 6 green, and 2 purple marbles = 18 marbles

The number that are not yellow = total - yellow

P( not yellow) = number that are not yellow / total

                       = (18-2) / 18

                       = 16/18

                       =8/9

Answer:

x<7

Step-by-step explanation:

12-x>5

12-x+x>5+x

12>5+x

12-5>5+x-5

7>x

x<7

Answer:

12-x >5

-x>-7 you divide by negative both sides

x<7

Answer:

no solutions

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

equation of blue line is y = x + 2 , in slope- intercept form

with slope m = 1

equation of red line is y = x - 3 , in slope- intercept form

with slope m = 1

• Parallel lines have equal slopes

then the blue and red lines are parallel.

the solution to the system is at the point of intersection of the 2 lines

since the lines are parallel then they do not intersect each other.

thus the system shown has no solution.

Answer:

Yes

Step-by-step explanation:

Using the commutative property (a + b = b + a), we can easily calculate that 12 + 2x is equal to 2x + 12.

Answer:

here ya go.

Step-by-step explanation:

Answer:

3 digits because 4641/39 is 119.

Answer:

Step-by-step explanation:

probability = number of favorable outcomes/total number of outcomes

To find compound probability multiply all the probabilities together.

p(3) = 1/6

p(4) = 1/6

p(1) = 1/6

p(2) = 1/6

p(6) = 1/6

Multiply all of them together.

1/6 x 1/6 x 1/6 x 1/6 x 1/6 = 1/7,776

or

\((\frac{1}{6} )^5 = \frac{1}{7,776}\)

Answer:

No, it isn't.

Step-by-step explanation:

The point on y = 5 should be on y = 7, and the point on x = 5 should be on x = 7. The attachment shown is what the graph should look like.

Answer:

his is the day that immediately proceeds the last and final spring sabbat, ... The fact that Beltane and Samhain happen in unison twice a year lends ... You know all those Halloween recipes you've been saving on Pinterest for years now? ... Halloween and Samhain product brands as you can all year long.

Step-by-step explanation:

The given two ratios are not form a proportion.

Ratio is defined as the comparison of two quantities of the same kind by the method of division.

Proportion is an equation it is formed when two ratios are equivalent to each other.

The given two ratios are 4/8 and 1/7.

i.e., 4:8 and 1:7

By simplifying this ratio 4:8 we get 1:2

That is these two ratios are not equal.

proportion is formed only when the two ratios are equal.

Hence, the given two ratios are not form a proportion.

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Answer:

The number can be expressed in multiple forms

Fraction form \(x=\frac{2962}{67}\)  or decimal form  \(x=44.21\)

Step-by-step explanation:

Lets break the problem down

"times" is multiplication *

The difference between 2 numbers is subtraction  \((x-y)\)

A number plus a number is addition \(x+y\)

\(68(x-45)=x+-98\)

Lets solve for \(x\).

Lets start on the left side.

Distribute 68 to the terms inside the parenthesis.

\(68x-3060=x+-98\)

A plus sign followed by a minus sign has the same mathematical meaning as a single minus sign.

\(68x-3060=x-98\)

Subtract \(x\) from both sides of the equation.

\(68x-3060-x=-98\)

Subtract \(x\) from \(68x\).

\(67x-3060=-98\)

Add 3060 to both sides of the equation.

\(67x=2962\)

Divide both sides of the equation by 67.

\(x=\frac{2962}{67}\) or as a decimal \(x=44.21\)

Answer:

box 2 and 3

Step-by-step explanation:

the rays are the only two that form the angle of 1

Answer: distributive property

Step-by-step explanation:

hope it helps u!!

Pls mark me brainliest

9514 1404 393

Answer:

  3629.84 cm²

Step-by-step explanation:

Put the given numbers into the area formula and do the arithmetic.

The area of a sphere is given by ...

  A = 4πr²

  A = 4(3.14)(17 cm)² = 3629.84 cm²

The ball has a surface area of about 3629.84 cm².

The inequality that represents the number of hours Sophia spent working on i-Ready last month is h ≥ 4.

Option A is the correct answer.

We have,

The problem states that a student must work on i-Ready for at least 4 hours per month to receive a grade of 100.

Since Sophia received a math grade of 100, it means that she has met the requirement of working on i-Ready for at least 4 hours in the last month.

And,

The symbol "≥" means "greater than or equal to," indicating that Sophia worked for at least 4 hours.

Therefore,

The inequality that represents the number of hours Sophia spent working on i-Ready last month is h ≥ 4.

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Answer:

Step-by-step explanation:

The exponential model is y=A*B^x

Enter the data into the calculator and press exponential regression.

The values of A and B are A=391.353785 and B=11.91690943

so, the exponential regression model is,

y=(391.3538)*(11.9169)^x

The experimental probability that in a group of 4 students, at least one of them has brown eyes, based on the given sample, is 0.898 or 89.8%.

We know that "2", "4", and "8" represent the 30% of students with brown eyes.

Any occurrence of these numbers in the sample would indicate a student with brown eyes, while other numbers would represent students without brown eyes.

Let's examine the sample of 20 random numbers:

3, 7, 1, 6, 4, 2, 0, 9, 8, 5, 2, 7, 6, 8, 4, 3, 1, 2, 0, 4

Out of these 20 numbers, the following represent students with brown eyes: 4, 2, 8, 2, 8, 4, 2, 4.

Total possible combinations of 4 students from the sample = C(20, 4) = 4845 (using the combination formula)

Number of combinations without any student having brown eyes = C(12, 4) = 495 (choosing 4 students from the remaining 12 who don't have brown eyes)

The number of combinations where at least one student has brown eyes = 4845 - 495 = 4350

Experimental probability of at least one student having brown eyes

= 4350 / 4845

= 0.898

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