What is the circumference of a circular disc with a diameter of 10 centimeters? (Round your answer to the nearest tenth.)

Answer:

x < = -1/2 or -0.5

Step-by-step explanation:

that's the answer

The equation of the line parallel to y=12x+5 that passes through the point (-2, 1) is y=12x+25.

Since the two lines are parallel, they will have the same slope. The slope of the given line is the coefficient of x, which is 12. Therefore, the line we are looking for also has a slope of 12.

To find the equation of the new line, we'll use the point-slope form of a line equation, which is y - y1 = m(x - x1), where m is the slope and (x1, y1) is the given point.

Substituting the given point and the slope into this form we get:

y - 1 = 12(x + 2)

Expanding and simplifying this, we have:

y - 1 = 12x + 24

Finally, adding 1 to both sides to solve for y, we get:

y = 12x + 25, which is the equation of the line that is parallel to y=12x+5 and passes through the point (-2, 1).

We are given a function as:

                 [tex]y=|x-4|-7[/tex]      

We know that this function is a transformation of the parent function y=|x| i.e. the  modulus function.

The rule that holds in this transformation is:

It is a translation of the parent function 4 units to the right and 7 units down.

Also, the graph of the function is attached to the answer.

Final answer:

To find f(7) and f'(7) of y = f(x) given a point on the tangent line passing through another point.

Explanation:

Given:
Equation of tangent line to y = f(x) at (7, 4) passes through (0, 3).
To find:
f(7) and f'(7).

Answer:

18 x 8y 5z 8 witch is answer choice B

Step-by-step explanation:

line P is the best fit, since the data points are closest to it,

 so the first answer.

The line which best represents  the line of best fit is:

 Line P, because it is closest to most data points    

Hence, by looking at the scatter plot we see that all the data points lie above Line R.

Hence, the Line R will not be a line of best fit.

But all the data points lie close to the line P , hence it act as a line of best fit.

the correct answer in C. -51 hope this helps you

Answer

Hasim is the closest... I just took the test

Answer:

B. Power of quotient.

Step-by-step explanation:

We have been given an expression [tex](\frac{p}{q} )^3[/tex] and we are asked to choose the correct rule to simplify our given expression.

Since our given expression is a fraction raised to 3rd power. Power of a quotient rule states when a quotient is raised to an exponent, then the exponent is distributed to both numerator and denominator of the quotient.

Using power of a quotient rule, we will get,

[tex](\frac{p}{q} )^3=\frac{p^3}{q^3}[/tex]

Therefore, we can simplify our given expression using power of a quotient and option B is the correct choice.

The power of quotients is the law that would be used to simplify the expression.

This is a mathematical rule that states that the power of a quotient is the same thing as the quotient that is gotten.

Given that the numerator p and the denominator q are raised to to the power expressed in the question separately.

The division is calculated after this has done

Read more on the power of quotient here:

https://brainly.com/question/2141690

Answer:

y = -2x + 1. The answer is B.

Step-by-step explanation:

Part A: Intersection at [tex]\((-13/4, -83/4)\)[/tex].  

Part B: Two solutions for [tex]\( f(x) \): (0, -11) and (5, 14).[/tex]  

Part C: Solve [tex]\( p(x) = g(x) \)[/tex] graphically for the Point of intersection

Part A: Solution to the Pair of Equations (p(x) and f(x)):

The solution to the pair of equations represented by [tex]\( p(x) \) and \( f(x) \)[/tex]is the point of intersection. From the information provided, it seems that the intersection point is [tex]\((-13/4, -83/4)\).[/tex]

Part B: Two Solutions for [tex]\( f(x) \)[/tex]:

1. [tex]\( (0, -11) \)[/tex]

2. [tex]\( (5, 14) \)[/tex]

Part C: Solution to [tex]\( p(x) = g(x) \)[/tex]:

To find the solution to [tex]\( p(x) = g(x) \), set \( p(x) = 7x + 2 \)[/tex] equal to [tex]\( g(x) = 1 + 1.5^x \). Solve for \( x \)[/tex]  to determine the point of intersection between [tex]\( p(x) \) and \( g(x) \)[/tex]. The solution to this equation provides the [tex]\( x \)[/tex] coordinate, and substituting it into either [tex]\( p(x) \) or \( g(x) \)[/tex] gives the [tex]\( y \)[/tex] coordinate. The justification lies in the graphical intersection of the functions.

Note: It's essential to examine the graph for precise details, as visual inspection can help confirm the solutions.

For such more questions on point of intersection

https://brainly.com/question/29185601

#SPJ6

The residual plot with a line of best fit that is a good model is the third residual plot.

The line of best fit should cut across data points in such a way that the data points on each side are relatively the same number.

The data points on both sides should also be roughly the same distance away from the line. The third residual plot fits these parameters and so shows the line of best fit as a good model.

Find out more on the Line of Best fit at https://brainly.com/question/21241382.

Answer:

the 3rd one

Step-by-step explanation: took the test on edu

The linear relationship is c(p) = -4p + b. Then the price that maximizes revenue is $75.

It is a system of an equation in which the highest power of the variable is always 1.

A carpet cleaning business has 100 customers when they charge $125 for cleaning.

Research shows that every $5 reduction in price attracts another 20 customers.

Since a $5 decrease in price increases customers by 20, we can say that we have two options.

(120, 100) and (120, 120) from these we can find the slope or rate of change of customers as a function of price.

[tex]\rm m = \dfrac{20}{-5}\\\\ m = -4[/tex]

Then we have

[tex]\rm c(p ) = -4 p +b[/tex]

Now, we can use (125, 100) to solve for b

100 = -4(125) + b

   b = 600

So our number of customers as a function of price is

[tex]\rm c(p) = 600 - 4p[/tex]

Revenue will simply be the number of customers times the price charged per customer will be

[tex]\rm r(p) = 600 p -4p^2[/tex]

We can find a price that creates maximum revenue by finding when the derivative is equal to zero.

[tex]\rm \dfrac{dr}{dp} = 600 - 8p\\\\[/tex]

WE know that for maximum,

[tex]\rm \dfrac{dr}{dp} = 0\\\\0 = 600 - 8p\\\\p = 75[/tex]

So, the price that maximizes revenue is $75.

More about the linear system link is given below.

Answer: Third Option is correct.

Explanation:

Since we have given that

[tex]\frac{3}{4x+3}+\frac{21}{8x^2-14x-15}[/tex]

Now, we will simplify it, step by step:

First we take 3 as common factor :

[tex]3[\frac{1}{4x+3}+\frac{7}{8x^2-14x-15}][/tex]

Now, we will do the method " Splitting the middle term" we get,

[tex]3[\frac{1}{4x+3}+\frac{7}{8x^2-20x+6x-15}]\\\\3[\frac{1}{4x+3}+\frac{7}{4x(2x-5)+3(2x-5)}]\\\\3[\frac{1}{4x+3}+\frac{7}{(4x+3)(2x-5)}]\\\\3[\frac{2x-5+7}{(2x-5)(4x+3)}]\\\\=3[\frac{2x+2}{(2x-5)(4x+3)}]\\\\=\frac{6(x+1)}{(2x-5)(4x+3)}[/tex]

Hence, 6 times the quantity x plus 1 end quantity over the quantity 2x minus 5 end quantity times 4x plus 3.

Therefore, Third Option is correct.

To solve this problem, let us assign the variables. Let us say that:

x = age of Tony = which also the age of his twin brother Evan

x + 4 = age of Josh (since tony is 4 years younger, then josh must be 4 years older)

x – 2 = age of Cindy (since tony is 2 years older, then cindy must be 2 years younger)

There are a total of 4 children, therefore:

x + x + x + 4 + x – 2 = 66

4 x + 2 = 66

4 x = 64

x = 16

Therefore Tony is 16 years old.

To find Tony's age, we can set up an equation using the information given and solve for x. After solving the equation, we find that Tony is 16 years old.

To solve this problem, we can assign variables to each person's age. Let's say Tony is x years old. Since Tony is four years younger than Josh, Josh's age can be represented as x + 4. Since Tony is two years older than Cindy, Cindy's age can be represented as x - 2. Since Tony has a twin brother, Evan, we can assign Evan's age as x as well.

According to the information provided, the sum of all their ages is 66, so we can set up the equation: x + (x + 4) + (x - 2) + x = 66. Simplifying the equation, we get 4x + 2 = 66. By subtracting 2 from both sides and dividing by 4, we find that x = 16.

Therefore, Tony is 16 years old.

Answer:

9×10⁴ is 300 times greater than 3×10²

Step-by-step explanation:

guy above me's work. thanks to him we get this answer :)

To solve for three unknown numbers with given relationships, we set up algebraic equations. Using substitution, we find the three numbers by solving the linear system. The numbers are 21, 28, and 42.

The problem presented is a typical linear equation problem found in mathematics where we need to find the values of three unknown numbers with the given relationships between them. To find the three numbers, we set up algebraic equations based on the information provided. Let's denote the first number as x, the second number as y, and the third number as z.

According to the problem:

Let's now use substitution to solve for the numbers. Substituting the value of x from the third equation into the second equation, we get z = 2(y - 7). Plugging the expressions for x and z back into the first equation, we have y - 7 + y + 2(y - 7) = 91. Simplifying this equation gives us 4y - 21 = 91, which solves to y = 28. Using y = 28, we find x = 21 and z = 42.

Therefore, the three numbers are 21, 28, and 42.