C
The graph of f(x) is shown.
O-4,0,2
For what values of x does f(x) = 0?
O-2.0.4
O-5.0.17
45
O-17.0.5
40

CThe Graph Of F(x) Is Shown.O-4,0,2For What Values Of X Does F(x) = 0?O-2.0.4O-5.0.1745O-17.0.540

Answers

Answer 1

Answer: -4, 0, 2

Step-by-step explanation:

The graph intersects the x-axis at [tex]x=-4, x=0, x=2[/tex].


Related Questions

A car producer stocks three types of tires: a, b, and c. Let p(a) = 0. 40, p(b) = 0. 15 and p(c) = 0. 45. The percentage of defective tires is 2%, 1% and 5%, respectively. Someone picks a tire off the shelf at random and it is brand a. If you want to know the probability that it is a defective tire (event d), which formula would you use?.

Answers

The formula which we would use to know the probability that it is a defective tire of brand A is P(A|D) = P(D|A)P(A) / P(D). P(D) is the probability that a tire produced is defective.

What is probability?

Probability is a numerical description of how possible an event to happen. Tha value of probability is between 0 to 1. Zero probability means something is impossible to happen. Probability 1 shows certainty.

A car producer stocks three types of tires. They are A, B, and C.

P(A) = 0.40P(B) = 0.15P(C) = 0.45

The percentage of defective tires is 2%, 1% and 5%, respectively. Someone picks a tire randomly and he gets brand A.

Find the formula to know the probability that it is a defective tire!

The options are

a) P(A|D) = P(D|A)P(A) / P(D)

b) P(D|A) = P(A|D)P(D) / P(A)

c) P(A|D)= P(D/A)P(D) / P(A)

d) P(D|A)= P(A|D)P(A) / P(D)

From the information, we get:

P(D|A) = 2% = 0.02P(D|B) = 1% = 0.01P(D|C) = 5% = 0.05

The probability that it is a defective tire of brand A = P(A|D). The formula is

P(A|D) = P(A∩D) / P(D)

P(A|D) = P(D|A)P(A) / P(D)

Hence, if we want to know the probability that it is a defective tire, the formula would be P(A|D)= P(D|A)P(A) / P(D).

The answer is (a).

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1. Find the present value of $5000 to be received in 2 years if the money can be invested at 12%
interest rate compounded continuously.(1 Point)
$6272
O $6365.75
$6356.25

Answers

The present value of $5000 to be received in 2 years at a 12% interest rate compounded continuously is $6356.25. This can be calculated by using the formula PV = FV/(1 + r)^t, where PV is the present value, FV is the future value, r is the interest rate, and t is the time period. Therefore, PV = 5000/(1 + 0.12)^2 = $6356.25.

Answer:

C) $6356.25

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

Use the continuous compound equation:

A = Pe^(rt), where A  - future value, P - present value, r - annual interest rate, t - number of years

Substitute and calculate:

A = 5000*e^(0.12*2) = 6356.25 (rounded)

The matching choice is C.

Is △pmr similar to △smn? if so, which postulate or theorem proves these two triangles are similar? responses ​△pmr​ ​is similar to ​△smn​ ​ by the ​​​ ​ssa similarity theorem​. ​, triangle p m r, ​, , ​, , is similar to , ​, , , triangle s m n, ​, , ​, , , by the , ​, ​, , ​, , ​, s s a similarity theorem, ​, , . ​△pmr​ ​is similar to ​△smn​ ​by the ​​ ​sas similarity theorem​. ​, , triangle p m r, ​, , ​, , is similar to , ​, , , triangle s m n, ​, , ​, , by the , ​, ​, , , ​, s a s theorem, ​, . ​△pmr​ ​is similar to ​ ​ ​△smn​ ​by the​ ​sss similarity theorem​​. ​, triangle p m r, ​, , ​, , is similar to , ​, , ​, , ​, triangle s m n, ​, , ​, , by the, ​, , , , ​, s s s similarity theorem, ​, ​, . ​△pmr​ ​is not similar to△smn​​. ​, , triangle p m r, ​, , ​, , is not similar to, , , , triangle s m n, ​, , ​, . a triangle with vertices p m r. segment s n is inside the triangle. point s is on side p m. point n is on side m r. p s is equal to 8 feet. s m is equal to 14 feet. m n is equal to 21 feet. n r is equal to 12 feet.

Answers

Right angles, isosceles triangles, acute angles, obtuse triangles, scalene triangles, and equilateral triangles are some of the several types of triangles.

Describe the triangles.

The term "trigon" is frequently (though not usually) used to refer to a triangle, a 3-sided polygon. Every triangle consists of a set of three angles and three sides, of which some might be the same. Three points and three sides make up a triangle, which is a polygon. The three angles of the triangle sum up to 180 degrees. With three sides & three vertices, triangles are a specific type of polygon in geometry. The two-dimensional figure displayed here has three straight sides. A triangle is a type of 3-sided polygon.

Here ,

are a number of triangles.

Triangular Scalene. a triangle that doesn't have adjacent sides.

a triangle where each of a three angles is far less than 90° degrees is referred to as a sharp triangle.

Straight triangle a triangular including one angle that extends beyond 90 degrees.

Isosceles, right, and equilateral triangles are examples of triangles.

Right angles, isosceles triangles, acute triangular, obtuse triangles, scalene triangles, and equilateral triangles are some of the several types of triangles.

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{y = -4x - 6
{-4x - y - 6 = 0

Answers

y = -4x - 6 and -4x - y - 6 = 0 are both representations of the same linear equation.

The first equation, y = -4x - 6, is in slope-intercept form, where y is the dependent variable, x is the independent variable, -4 is the slope and -6 is the y-intercept. This means that when you graph this equation, the slope of the line will be -4 and the y-intercept will be -6.

The second equation, -4x - y - 6 = 0, is in standard form, where the variables are on one side of the equation and the constants are on the other side. To get this equation, you can move the y term to the other side by adding y to both sides, and then move the constants to the other side by adding 6 to both sides.

Both equations represent the same line. They are just in different forms, one is in slope-intercept form and the other is in standard form.

Answer:

infinite number of solutions

Step-by-step explanation:

y = - 4x - 6 → (1)

- 4x - y - 6 = 0 → (2)

substitute y = - 4x - 6 into (2)

- 4x - (- 4x - 6) - 6 = 0 ← distribute parenthesis and simplify left side

- 4x + 4x + 6 - 6 = 0

0 = 0 ← true statement

when both sides have the same numeric value

this indicates the system has an infinite number of solutions.

Evaluate $\frac 23+\frac 34+\frac 42$. If a fraction appears in your answer, it should be in simplified form.

Answers

When evaluated [tex]\frac 23+\frac 34+\frac 42$[/tex] into simplified form we get [tex]3\frac{5}{12}[/tex] as the answer.

What is simplified form?

If the top and bottom have no common factors other than one, the fraction is in its simplest form. In other words, the top and bottom cannot be divided any further and remain whole numbers.

You may also hear "lowest terms" when referring to the simplest form.

The fraction 4/5, for example, is in its simplest form. Except for 1, there is no number that divides both 4 and 5.

To evaluate in simplified form

[tex]$\frac 23+\frac 34+\frac 42$[/tex]

Lets simplify!

[tex]$ \Rightarrow \frac 23+\frac 34+\frac 42$[/tex]

[tex]$ \Rightarrow \frac{8}{12} + \frac{9}{12} +\frac{24}{12}[/tex]

[tex]$ \Rightarrow \frac{8+9+24}{12}[/tex]

[tex]$ \Rightarrow \frac{41}{12} = 3\frac{5}{12}[/tex]

Thus, when evaluated [tex]\frac 23+\frac 34+\frac 42$[/tex] into simplified form we get [tex]3\frac{5}{12}[/tex] as the answer.

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enge A family wants to rent a car to go on vacation. Company A charges $45.50 and 10¢ per mile. Company B es $55.50 and 12¢ per mile. How much more does Company B charge for x miles than Company A?​

Answers

Answer: company B charges $10 and 2 cents more

Step-by-step explanation:

What is change of base formula example?

Answers

Change of base formula is used to rewrite a logarithmic operation as a ratio of two logarithms each with the same base that is different from the base of the original logarithm, for example, log₆₄8 = log 8 / log 64.

Logarithm is the inverse function of an exponential. The logarithm of x is the exponent to which another fixed number, the base b, must be raised, to produce that number x.

Change of base formula is used to rewrite a logarithmic operation as a ratio of two logarithms each with the same base that is different from the base of the original logarithm. It can be written as follow:

[tex]Log_{b} a = \frac{Log_{d} a}{Log_{d} b}[/tex]

For example:

We want to find the value of log₆₄8 using the change of base formula.

log₆₄8 = log 8 / log 64

          = log 8 / log 8²

          = log 8 / 2 log 8

          = 1/2

Thus the log₆₄8 is 1/2

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The graph below shows how much money Isaac earns by washing cars. 1. Explain if the graph above displays a proportional relationship, including evidence to support your reasoning. 2. Explain what the coordinate shown on the line represents given the problem context provided. ​

Answers

1. The graph will represent a proportional relationship if these two following statements are correct.

The intercept is of zero.The slope of the line is constant.

2. The coordinate (x,y) represents the amount of money y earned for washing x cars.

What is a proportional relationship?

A proportional relationship is a linear function with an intercept of zero modeled as follows:

y = kx.

In which k is the constant of proportionality.

The input and output variables for this problem are given as follows:

Input x: number of cars washed.Output y: amount of money earned.

Hence the coordinate (x,y) represents the amount of money y earned for washing x cars.

Missing Information

The problem is incomplete, hence the answer is given in general terms using concepts of proportional relationships.

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The prism below has dimensions of 2 feet (ft.), 3 feet (ft.), and 8 inches (in.).

What is the volume of the prism in cubic inches?

Answers

The volume of the prism in cubic inches is 6912 inch³.

What is Volume?

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also known as the capacity of the object.

Volume of Cuboid = length x width x height

Given:

length =  3 feet = 36 inch

width = 8 inch

height = 2 feet = 24 inch

So, Volume of cubic prism

= length x width x height

= 36 x 8 x 24

= 6912 inch³

Hence, the volume is 6912 inch³

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HELP ME I DONT UNDERSTAND

Answers

In the system of linear equations given, only option b have exactly one solution

What is System of Linear Equation

A system of linear equations is a collection of two or more linear equations that are solved simultaneously. A linear equation is an equation that can be written in the form ax + b = c, where a, b, and c are real numbers and a is not equal to 0.

In this given problem, we have four system of linear equations and we need to determine which has exactly one solution.

a)

2x - 4y = 8 ...eq(i)

x + y = 7 ...eq(ii)

Solving both equations

x = 6, y = 1

b)

3x + y = - 1 ..eq(i)

8x + 2y = -2 ..eq(ii)

Solving both equations

x = 0, y = - 1

c)

3x + 3y = 3 ...eq(i)

-6x - 6y = 3 ...eq(ii)

Solving both equations;

There's no solution to this problem.

d)

3x - 2y = 4 ..eq(i)

-3x + 2y = 4 ..eq(ii)

Solving for both equations;

There's no solution to this problem

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Find the median, Q1, Q3, interquartile range (IQR), and list any outliers. 1. 72, 32, 74, 66, 71, 45, 38, 49, 66, 69, 75, 34, 102 Median: Q3: QI: IQR:

Answers

Answer:

Step-by-step explanation:

Idl

Malik learned to sing a total of 36 pieces over the course of 18 weeks of voice lessons. How many weeks of lessons will Malik need before he will be able to sing a total of 48 pieces? Solve using unit rates.

Answers

The number of weeks it would take is 24 weeks.

How many weeks would it take?

The first step is to determine how many weeks it would take to learn one piece. In order to determine his value, divide 18 by 36.

Number of weeks = 18 / 36 = 0.50

Now, multiply the answers gotten in thee previous step by 48

Number of weeks it would take to learn 48 songs = 0.50 x 48  = 24

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Sarah dilutes grape juice for her two-year-old sister. She uses 1/4 cup of grape juice for every 2/3 cup of water.

How much grape juice does Sarah use for each cup of water?
A 1/6 cup
B 3/4 cup
C 3/8 cup
D 1 1/2 cup

Answers

Answer:

3/8 cup

Step-by-step explanation:

1 cup water = 2/3 cup water * 3/2

x = 1/4 cup grape juice * 3/2

1/4 * 3/2 = 3/8

In an aquarium, there are large fish and small fish. Half of the small fish are red.
One fish is selected at random. Find the probability that it is a small, red fish.
Write your answer as a fraction in simplest form.

Answers

The probability that it is a large, blue fish is 21%.

What is probability?

Probability is the mathematical study of outcomes in uncertain situation. It is used to describe the likhood of an event occurring and it can be expressed as a number between 0 to 1. Probability is used to quantify the uncertainty associated with any given event it helps us understand how likely it is that something will happen and it can be used to make prediction about futures even probability theory is it cornerstone of modern statistic and is widely used in field such as finance economics and science.

Here we have to use the definition of a simple probability, wherever all fishes has the same Probability to be chose.

So, we have to divided the possible of outcomes with the total of outcomes. The possible outcomes refer to the number of large-blue fishes, and the totals numbers of outcomes represent the total number of fishes. So

Therfore, there's 21% of chances to selected one fish randomly and be a large, blue fish.

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is 3(5a + 9) + 5a and 4(5a+6) equivalent

Answers

No, 3(5a + 9) + 5a and 4(5a+6) are not equivalent

What are equivalent expressions ?

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value(s) for the variable(s).

To know if 3(5a + 9) + 5a and 4(5a+6) are equivalent, we simplify both expressions and see if they will have result

simplifying 3(5a + 9) + 5a;

by opening the parentheses

15a+27+5a

collecting like terms

20a+27

simplifying 4(5a+6);

by opening the parentheses,

20a + 24

Therefore 20a + 27 is not thesame as 20a+24. This means 3(5a + 9) + 5a is not equal to 4(5a+6).

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Rewrite the expression with rational exponents √6

Answers

We can rewrite the expression by using a rational exponent as:

[tex]\sqrt{6} = 6^{1/2}[/tex]

How to rewrite the expression?

We know that all roots can be written as exponents, such that:

[tex]\sqrt[n]{x} = x^{1/n}[/tex]

Particularly, if there is no upper index on the root, then it is a square root, and the exponent corresponding to the square root is 1/2.

Here we want to rewrite the expression:

[tex]\sqrt{6}[/tex]

Using what we saw above, we can rewrite this as:

[tex]\sqrt{6} = 6^{1/2}[/tex]

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Which are two solutions for the given equation 3x 4y 7?

Answers

The solutions of the given equation  are given below:

(i) 3x+4y =7

(ii) x=6y

(iii) x+πy =4

(iv) x-y =4

All these equations are having infinitely many solution.

Infinitely Many solution:

An equation can have an infinite number of solutions if certain conditions are met. If the lines are coincident and have the same y-intercept, the system of equations has infinitely many solutions. If two lines have the same y-intercept and slope, they are really on the same line.

(i) Given :

3x + 4y = 7                        --------------------------- (1)

On putting x = 0 in equation 1

3x + 4y = 7

⇒ 3 × 0 + 4y = 7

⇒ 0 + 4y = 7

⇒ 4y = 7

⇒ y = 7/4

Therefore, ( 0, 7/4) is a solution of given equation.

On putting y = 0 in equation 1

3x + 4 × 0 = 7

⇒ 3x + 0 = 7

⇒ 3x = 7

⇒ x = 7/3

Thus, (7/3, 0) is a solution of given equation.

Hence, 2 out of the infinitely many solutions of the given equation are(0,7/4), (7/3,0).

 

(ii) x = 6y

Let x = 0

⇒ x = 6y

⇒ 0 = 6y

⇒ y = 0/6

⇒ y = 0

(0,0) is the solution.

Let x = 1

⇒ x = 6y

⇒ 1 = 6y

⇒ y = 1/6

(1,1/6) is the solution.

Hence, 2 out of the infinitely many solutions of the given equation are (0,0), (1,1/6).

(iii) x + πy = 4

let x = 0

⇒ x + πy = 4

⇒ 0 +  πy = 4

⇒ πy = 4

⇒ y = 4/π

(0, 4/π) is the solution.

Let y = 0

⇒ x + πy = 4

⇒ x + 0(y) = 4

⇒ x  + 0 = 4

⇒ x = 4

(4, 0) is the solution.

Hence, 4 out of the infinitely many solutions of the given equation are (0, 4/π), (4, 0).

(iv) x - y = 4

Let x = 0

⇒ x - y = 4

⇒ 0 - y = 4

⇒ -y = 4

⇒ y = - 4

(0,- 4) is the solution.

Let x = 1

⇒ x - y = 4

⇒ 1 - y = 4

⇒ -y = 4 - 1

⇒ -y = 3

⇒ y = - 3

(1,- 3) is the solution.

Hence, 4 out of the infinitely many solutions of the given equation are(0,- 4), (1,- 3).

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Can someone tell me what number on the number line is greater than -9 for an inequality?

Answers

Answer: Any number that is to the right of it, hence greater/bigger.

-8,-7,-6,-5.....

Step-by-step explanation:

Example: If you have -8 vs -9 vs -10 dollars, You have more with -8 vs -9 or -10.

Hence anything to the right of a give number on the number line is greater.

Also, think of the opposite with negatives.

For example with positive numbers, the larger the number the greater, but with negative numbers its the other way around, the smaller the number the greater.

If f(x)=3x, g(x)=x+4 , and h(x)=x2−1 , find g[h(−3)]

Answers

On solving the provided  question, we can say that value for the function g[h(−3)] is 12.

What is a function?

A mathematical function is a rule that determines the value of the dependent variable based on the values of the independent variables. A table, a formula, or a graph are just a few examples of how a function might be expressed.

In mathematics, a function is an expression, rule, or law that establishes the relationship between independent and dependent variables.

For equation h(x)

x = -3

then h(-3) = x²-1

h(-3) = (-3)² -1

h(-3) = 9-1 = 8 now using this value in g(x)

g(x) = x+ 4

g(8) = 8+ 4 = 12

Hence the value for the function is g[h(−3)] = 12

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What is the solution to the system of equations y 1.5 x 4 y =- 4?

Answers

The solution to the given equations y = 1.5x - 4, y = -4 is (0, -4).

We can solve the given system of equations by the substitution method.

The substitution method is the algebraic approach to solving simultaneous linear equations. As the word tells, in this method, the value of one variable from one equation is substituted in the other equation and gets the value of the one variable.

y = 1.5x - 4     eqn(1)

y = -4       eqn(2)

Put the value of y in eqn(2)

- 4 = 1.5x - 4

Solve the above equation for x, by transferring the terms,

1.5x = - 4 + 4

1.5x = 0

x = 0

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How do you write 4 exponents?

Answers

The four main types of Exponents that can be written are Positive Exponents , Negative Exponents , Zero Exponents and Rational Exponents .

What are Exponents ?

The Exponents are defined as a method to express large numbers in terms of powers which means, that exponent refers to how many times the number is  multiplied by itself.

The Four Main types of Exponents are listed below :

(i) Positive Exponents : The Positive exponents tell us about how many times we multiply the base by itself. The result of the positive exponent is generally a very large number. For Example : [tex]x^{82} , x^{9}[/tex] .

(ii) Negative Exponent : The Negative exponents tell us about how many times to divide the base by itself. The result of the negative exponent is generally a very small number. For Example : [tex]x^{-82} , x^{-9}[/tex] .

(iii) Zero Exponent :  The Zero Exponent is the expression in which the power is 0 , and the result of the zero exponent is always 1 . For Example : [tex]x^{0}=1[/tex] .

(iv) Rational Exponent : The Rational Exponent means that there is a fraction present in the exponent. For Example : [tex]x^{\frac{1}{2} } ,y^{\frac{2}{3} }[/tex] .

The given question is incomplete , the complete question is

How do you write the 4 types of Exponents ?

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235.20= 7(0.06m +25.80 +0.10(25.80))

Answers

By solving the given expression we get the value of M is 87.

What is the linear equation?

A linear equation is an algebraic equation of the form y=mx+b. where m is the slope and b is the y-intercept.

7(0.06m+ 25.80 +0.10 (25.80))

7(0.06m+ 25.80 + 2.58)

7(0.06m+ 28.38)

7(0.06m+ 28.38)

7 0.06m+ 7·28.38

0.42m+ 198.66

In this case, we need to get the value for m

235.20=0.42m+ 198.66

If we place the m value of 87,

=0.42×87+198.66

= 235.20

When an equation is solved symbolically, expressions can be employed to represent the solutions.

For example, the phrase x = y + 1 solves the equation x + y = 2x – 1 for the unknown x, since substituting y + 1 for x in the equation results in (y + 1) + y = 2(y + 1) – 1, which is a true assertion.

Therefore, the value of M is 87.

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find a positive and a negative co-terminal of each angle 111 degrees

Answers

The Positive co-terminal angle is 471° and negative co-terminal angle is -249°.

What is co-terminal angle?

Co-terminal angles have different degrees, but they all have their initial side on the positive x -axis (it goes this way →) and share the same terminal side  hence the term "co-terminal." Co-terminal angles differ by 360°. Therefore, we only need to add/subtract 360° to get our positive/negative co-terminal angle measures.

Here the given angle is ,

=> 111°

Positive co-terminal angle:

=> 111°+360°=471°

Now negative co-terminal angle is ,

=> -(360°-111°)

=> - 249°

Hence the Positive co-terminal angle is 471° and negative co-terminal angle is -249°.

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Factorise the following.
2⁢x^2+7⁢x+3

Answers

Step-by-step explanation:

either x=-1/2

or x=-3

compare with ax²+bx+c=0

What are the main types of inequalities Class 6?

Answers

Some types of inequalities that are commonly discussed include economic inequality, educational inequality, social inequality and, racial and ethnic inequality.

Economic inequality: This refers to the unequal distribution of wealth, income, and resources among individuals or groups within a society. It often results in a small group of individuals or families owning a disproportionate amount of wealth and controlling the majority of resources.

Educational inequality: This refers to the unequal access to quality education among individuals or groups within a society. It can result in a lack of educational opportunities for those from lower socio-economic backgrounds, which can limit their chances for higher-paying jobs and career advancement.

Healthcare inequality: This refers to the unequal access to quality healthcare among individuals or groups within a society. It can result in poorer health outcomes and increased health disparities for those from lower socio-economic backgrounds.

Social inequality: This refers to the unequal distribution of social status, power, and privilege among individuals or groups within a society. It can result in discrimination, prejudice and bias against certain groups, leading to reduced opportunities and access to resources.

Racial and Ethnic inequality: This refers to the unequal distribution of resources and opportunities among individuals or groups based on their race or ethnicity. It can result in discrimination and racism, leading to reduced opportunities and access to resources.

It's important to note that these types of inequalities often overlap and interact with one another, creating complex and interconnected forms of disadvantage.

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hi everyone help my math show your complete solutions​

Answers

Step-by-step explanation:

what is the area of the whole circle ?

pi×r²

what is the segment length of the whole circle ?

right, that is the circumference :

2×pi×r

and a whole circle stand for 360°.

if we have only a part of these 360°, then all the attributes of the circle apply only to the corresponding fraction of 360°.

the "segment area" is (I assume) the shaded area.

that is the area of the whole segment XZY minus the triangle area.

let's start with the arc length (the easier part) :

again, for 360° it is

2×pi×r

for 135° it is

2×pi×r × 135/360 = 2×pi×8 × 135/360 =

= 18.84955592... cm

for the segment area :

the area of the full segment is

pi×r² = pi×8² = 64pi

for 135° it is

64pi × 135/360 = 75.39822369... cm²

the inner triangle is an isoceles triangle (both legs are equally long : 8 cm).

when we have the 2 legs and the encoded angle, the area of the triangle is

area= (a x b x sin(c))/2, where a, b are the two legs, and c is the angle between them.

area of the triangle = 8×8×sin(135)/2 = 22.627417... cm²

the shaded area is then

75.39822369... - 22.627417... = 52.77080669... cm²

Will mark brainliest for explanation of all parts!!!!!!
A study showed that vitamin E oil reduces pain levels in patients with lupus. During each session, the oil was injected into the pain site indicated by the patient. Pain reduction was measured through self-reporting after each session. Another study is being designed to examine whether vitamin E oil also reduces pain in patients suffering from bulging disks in the thoracic region of the back. Two hundred patients aged 20–40 years are subjects in the new study.

Part A: What is an appropriate design for the new study? Include treatments used, method of treatment assignment, and variables that should be measured. (5 points)

Part B: If the study consisted of 100 young patients and 100 old patients instead of 200 patients aged 20–40, would you change the study design? If so, how would you modify your design? If not, why not? (5 points)

Part C: Suppose the data in the following table was collected at the end of the study you described in part A. Vitamin E Oil Placebo Reported Pain Reduction 52 35 Total Treated 100 100 Construct 90% confidence intervals for the proportion of pain reduction for each treatment group. Show all work. (5 points)

Part D: What can you conclude about the use of vitamin E oil for patients with bulging disks in the thoracic region of the back? (5 points)

Answers

Answer:

Step-by-step explanation:

Part A.

An appropriate design for the new study to examine whether vitamin E oil reduces pain in patients suffering from bulging disks in the thoracic region of the back would be a randomized controlled trial (RCT). The study should include the following elements:

1.Treatments: The study should include two treatment groups, one receiving vitamin E oil injections and the other receiving a placebo (e.g. a neutral oil) injections.

2.Method of treatment assignment: Patients should be randomly assigned to either the vitamin E oil treatment group or the placebo group, to control for potential confounding variables.

3.Variables that should be measured: The study should measure the following variables:

-Pain levels: Pain should be measured using a validated self-reported pain scale (such as the Visual Analog Scale or the Numeric Rating Scale) before and after each treatment session.

-Patient's demographics: Age, sex, and medical history should be recorded to evaluate the effect of these factors on the treatment outcome.

-Number of treatments: The number of treatments should be recorded for each patient.

-Adverse effects: Any adverse effects should be recorded, such as redness or swelling at the injection site.

It is important to note that this is a simplified design and a real study would need to consider many other aspects such as sample size, statistical analysis, and ethical considerations.

Part B

If the study consisted of 100 young patients and 100 old patients instead of 200 patients aged 20-40, I would likely modify the study design. One reason is that age can be a confounding variable and could affect the outcome of the study. Studies have shown that age can affect pain perception and management, older adults have been found to have more chronic pain, and different pain management strategies might be more effective for different age groups.

I would modify the study design by including an age variable in the analysis and stratifying the sample by age, creating two subgroups (young and old patients) and comparing the results separately. This would allow us to see if there is any age-related differences in the effectiveness of vitamin E oil in reducing pain in patients suffering from bulging disks in the thoracic region of the back.

Another modification would be to include a larger sample size to ensure that there are enough patients in each subgroup to detect any potential differences in the effect of vitamin E oil on pain reduction between young and old patients.

It is important to note that this is a simplified design and a real study would need to consider many other aspects such as sample size, statistical analysis, and ethical considerations.

Part C

To construct 90% confidence intervals for the proportion of pain reduction for each treatment group, we can use the following steps:

1.Calculate the sample proportion of pain reduction for each treatment group:

For the Vitamin E oil group, the proportion of pain reduction = (52 / 100) = 0.52

For the Placebo group, the proportion of pain reduction = (35 / 100) = 0.35

2.Calculate the standard error (SE) for each proportion:

SE = sqrt( (p * (1-p)) / n )

Where p is the sample proportion and n is the sample size.

For the Vitamin E oil group, SE = sqrt( (0.52 * (1-0.52)) / 100) = 0.049

For the Placebo group, SE = sqrt( (0.35 * (1-0.35)) / 100) = 0.045

3.Calculate the margin of error (ME) for each proportion:

ME = z * SE

Where z is the critical value for a 90% confidence level, which is approximately 1.645.

For the Vitamin E oil group, ME = 1.645 * 0.049 = 0.0806

For the Placebo group, ME = 1.645 * 0.045 = 0.0743

4. Calculate the lower and upper bounds of the 90% confidence intervals for each proportion:

Lower bound = p - ME

Upper bound = p + ME

For the Vitamin E oil group, the 90% confidence interval is:

0.52 - 0.0806 = 0.4394 and 0.52 + 0.0806 = 0.6006

For the Placebo group, the 90% confidence interval is:

0.35 - 0.0743 = 0.2757 and 0.35 + 0.0743 = 0.4243

Therefore, the 90% confidence interval for the proportion of pain reduction for the Vitamin E oil group is (0.4394, 0.6006) and the 90% confidence interval for the proportion of pain reduction for the Placebo group is (0.2757, 0.4243)

What is equation simple?

Answers

An equation in algebra is a mathematical statement that proves the equality of two mathematical expressions.

what is equations ?

An equation in algebra is a mathematical statement that proves the equality of two mathematical expressions. Take into consideration the equation 3x + 5 = 14, in which 3x + 5 and 14 are two expressions that are separated by the word "equal." The standard form, slope-intercept form, and point-slope form are the three primary formats for linear equations. In a mathematical expression known as an equation, the equals sign appears. Algebra is used in a variety of equations. When you don't know how much to compute in math, you use algebra to approximate the answer.

given

Take into consideration the equation 3x + 5 = 14, in which 3x + 5 and 14 are two expressions that are separated by the word "equal."

The standard form, slope-intercept form, and point-slope form are the three primary formats for linear equations.

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Create a rectangle ABCD on a coordinate plane that meets the following conditions:

1. all four points are in different quadrants
2. point A is in Quadrant Il with coordinates (-a, b)
3. the distance from point A to point B is 3a
4. the distance from point A to point D is 4b
5. neither axis is a line of symmetry in the rectangle

Answers

Therefore , the solution of the given problem of expression comes out to be 794.0481.

Describe expression.

combinations of numbers, symbols, and operations (such + and) that show how much something is worth. Examples: • 2 + 3 is the formula.

Here,

3 x/2 variable  is another formula.There is no equals sign in the expression. A mathematical expression is a sentence made up of variables, numbers, or both. There is never an equal symbol in an expression. These expressions are examples. An equation is a mathematical statement proving the equality of two expressions.

Given : 5 +

=> 5 + (5.3)*(5.3)*(5.3)*(5.3)

=> 789.0481 + 5

=> 794.0481

Therefore , the solution of the given problem of expression comes out to be 794.0481.

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On solving the provided question, we can say that a rectangle ABCD on a coordinate plane, point A is in Quadrant Il with coordinates (-a, b), the distance from point A to point B is 3a

What is rectangle?

A rectangle in Euclidean plane geometry is a quadrilateral with four right angles. You might also describe it as follows: a quadrilateral that is equiangular, which indicates that all of its angles are equal. The parallelogram might also have a straight angle. Squares are rectangles with four equally sized sides. A quadrilateral of the shape of a rectangle has four 90-degree vertices and equal parallel sides. As a result, it is sometimes referred to as an equirectangular rectangle. Because its opposite sides are equal and parallel, a rectangle is also known as a parallelogram.

a rectangle ABCD on a coordinate plane,

point A is in Quadrant Il with coordinates (-a, b).

the distance from point A to point B is 3a

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The principal wants to share 1,869 pencils equally between 4 fourth grade classrooms and 3 third grade classrooms. how many pencils will each classroom get?

Answers

267 is your correct answer
Add 4 and 3= 7. Then divide this (7) to 1869.
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