F(x)=\begin{cases}-2 & \text{ for }\hspace{10px} -6< x <-1\phantom{\frac{1}{1}} \\ -x-3 & \text{ for }\hspace{10px} -1< x <5\phantom{\frac{1}{1}}\end{cases} f(x)={ −2 −x−3 ​ for −6

Answers

Answer 1

f(7) = 14 is calculated. Each function is given a domain and a codomain, or scope.

what is function ?

The subject of mathematics includes quantities and their variations, equations and related structures, forms and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A relationship between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, within functions, and on functions.

given

We note that x=7 is on 1<x< 9 so we use the second piece. Replace x with 7 and

evaluate to find f(7):

f(7)=2(7)

f(7)=14

so f( 7 ) = 14

f(7) = 14 is calculated. Each function is given a domain and a codomain, or scope.

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Related Questions

pls help with his i dont get it at all

Answers

Answer:

D.

Step-by-step explanation:

They are parallel would be the best explanation. AB and PQ are in a sense the same segment but PQ is AB translated.

Maria believes that she will get a 1 hit in 10% of her softball games, 2 hits in 30% of her games, 3 hits in 55% of her games, and 4 hits in 5% of her games. About how many hits can Maria expect to have each game

Answers

According to the probability or likelihood , Maria can expect 2 hits in the game.

What person founded probability?

Blaise Pascal and Pierre de Fermat are recognized as the fathers of probability because they laid the foundation for the field by thinking through a gambling issue posed by Chevalier de Mere in 1654.

[tex]E(X)=x.P(X=x)[/tex]

Given,

[tex]P(X=1)=0.20\\P(X=2)=0.25\\P(X=3)=0.50\\P(X=4)=0.05\\[/tex]

putting in formula,

[tex]E(X) = (1*0.20)+(2*0.25)+(3*0.50)+(4*0.05)=2.4[/tex]

As the number can not be fraction, hence number of hit will be 2.

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I need help with this question, its confusing.

Answers

The answer is 25 per week

What is included in an individual's personal assets 3 options?

Answers

Three options which are included in an individual's personal assets are cash amount , property in any form and any other investment which can be converted cash in future.

Individual personal assets are defined as the things which represents some value in the present and future time.Three options which represents the individual personal assets are cash amount , property in any form, and the investment converted into cash.Cash amount already represents the physical value for the present and future use.Property in any form can be converted into cash in present and future use.Investment can be in many form such as policies , electronics items, jewelry and many other options can easily be converted into cash for present and future use.

Therefore, the three options representing the individuals personal assets are cash amount, property in any form, and investment converted into cash.

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-2(4 - 3x) - 6x = 10

Answers

Answer:

this is a problem with no solution look it up if you dont beleve me

Step-by-step explanation:

Given: AAED ≈ ABEC and
AC BD.
Prove: AABD≈ ABAC.
Note: quadrilateral properties are not permitted in this
proof.
Step
1
try
Statement
D
AAED ~ ABEC
AC BD
Type of Statement
E
с
Note: AC and DB are segments.
B

Answers

Side-Angle-Side (SAS) (SAS), The triangles are congruent if the included angles are also congruent and two sides of one triangle match two sides of another triangle.

How may the ABC def be demonstrated?

Side-Angle-Side (SAS) (SAS), The triangles are congruent if the included angles are also congruent and two sides of one triangle match two sides of another triangle.

The use of labels Triangle ABC is congruent to triangle DEF if the angles of triangles ABC and DEF are AB = DE, AC = DF, and A = D.

ABC=CDE: a) in accordance with the conditions BC=CD and AC=CE; b) BCA=m (DCE).

If ABC = CDE, then m(BAC) = m(DEC), and m(ABC) = m (CDE).

If m(BAC)=m(DEC), then AB || DE, or if m(ABC)=m(CDE), then AB || DE.

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Rebecca carries a balance on her credit card each month. Today is the first day of the new, 28-day billing cycle. The current balance is x and the APR is 24%. Rebecca is buying a friend an expensive gift that cost $1,400 that she plans to put on her credit card. this will be her only purchase this month, and she will be making this purchase on the last day of the month
Part A
If her Finance charge will be $51, write and solve an equation to determine her current balance on her credit card. Show work


Part B
How much in finance charges can she save by making the purchase on the last day of the billing cycle versus the first day of the billing cycle? Explain how you determined your answer

Answers

Rebecca can save $27 in finance charge when she purchases the $1,400 gift for her friend on the laset day of the billing cycle instead of on the first day.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The billing cycle for the month = 28 days

Current beginning balance = x

Annual percentage rate (APR) = 24%

Monthly percentage rate (MPR) = 2% (24% ÷ 12)

Purchase on the last day = $1,400

Total finance charge for the month = $51

Finance charge for the last-day purchase = $1 ($1,400 x 2% x 1/28)

Finance charge for the beginning balance = $50 ($51 - $1)

The current beginning balance, x = $2,500 ($50 ÷ 2%)

Equation for current beginning balance, x = 51 - 1 ÷ 0.02

Total finance charge for the last-day purchase = $28 ($1,400 x 2%)

Savings in finance charge by purchasing on the last day = $27 ($28 - $1)

Hence, Rebecca can save $27 in finance charge when she purchases the $1,400 gift for her friend on the laset day of the billing cycle instead of on the first day.

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Pls Help, I will give 5 star and thanks, Plus Brain to correct answer, Plus extra points if correct!!



The table shows the relationship between the participants walking and running for the week's cross-country practices.



Walk (laps) 3 B 15

Run (laps) 5 10 D

Total (laps) A C 40



At this rate, how many laps will the participants walk if the total distance is 32 miles? How many miles will they run?

They will walk 7 laps and run 17 laps for a total of 32 miles.

They will walk 12 laps and run 20 laps for a total of 32 miles.

They will walk 14 laps and run 18 laps for a total of 32 miles.

They will walk 10 laps and run 22 laps for a total of 32 miles.

Answers

Using proportional relationships, we can say that They will walk 12 laps and run 20 laps for a total of 32 miles.

What is the direct proportional relationship?

In a direct proportional relationship, the output variable is found by the multiplication of the input variable and the constant of proportionality k, as follows:

y = kx.

Given that we know this, they walk 3/8 of the 8 miles that make up the complete distance. Run 5/8 of the route.

The following are the proportional relationships for the distances:

Walked = 3/8 x Total Distance.Ran = 5/8 x Total Distance.

For a total distance of 32 miles, the distances walked and run are given:

Walked: 3/8 x 32 = 3 x 4 = 12 miles = 12 laps.Ran: 5/8 x 32 = 5 x 4 = 20 miles = 20 laps.

therefore, They will walk 12 laps and run 20 laps for a total of 32 miles as per the proportional relation.

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A third-grade student is asked to find the best estimated answer for the problem below by rounding to the nearest ten. 162 287 395 The student gets an answer of 840. Which of the following best describes the student's error

Answers

The error is that the student rounded off the outcome after combining the numbers.

What is rounding off?

When a number is rounded off, its value is maintained but is brought closer to the next number, simplifying the number.

For entire numbers as well as decimals at different places of hundreds, tens, tenths, etc., it is done.

So, we have:

162 + 287 + 395 = 840

The error:

After adding the numbers, the student rounded the result.

If the learner had added the numbers first and then rounded the result, they would have received the correct answer of 850 instead of 840.

When estimating totals, students should be taught to round numbers first before adding them.


Therefore, the error is that the student rounded the outcome after combining the numbers.

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Correct question:
A third-grade student is asked to find the best-estimated answer for the problem below by rounding to the nearest ten.

162 + 287 + 395

The student gets an answer of 840. Which of the following best describes the student's error?

This is mad confusing

Answers

Answer: 112 degrees

Explanation:

By the alternate interior angles theorem, m<CAD=40 and m<ACD=28. The quadrilateral is divided into two triangles. The sum of the angles of a triangle is equal to 180 degrees. Now that you know the measurements of two out of the three angles, you can add them up and subtract them from 180.

180-(40+29)=112

How many times and how many ounces should I feed my goat if it is 7 pounds and I feed it 3 times a day

Answers

Since you're feeding it three times a day, you should feed your goat 0.74 ounces per feeding.

What is feeding?

The act of feeding involves giving a baby a mother's breast milk, either directly from the breast or by expressing (pump-out) the milk from the breast and giving it to the baby in a bottle.

Define Ounces and Pounding.

In the traditional method of measurement, a pound is used to measure weight. In the conventional system, ounces are smaller weight units that are defined in terms of pounds. 1 pound Equals 16 ounces.

Goats typically need around 2% to 4% of their body weight in feed per day. If your goat weighs 7 pounds, and you want to feed it 2% of its body weight per day, you would need to feed it 0.14 pounds of food per day, or 2.24 ounces per day. Since you're feeding it three times a day, you should feed it 0.74 ounces per feeding.

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43 inches tall. Each book 1/2 - inch thick

Answers

Answer:

If you're asking how many books there are its 86.

Step-by-step explanation:

If each book is 1/2 thick that means there are 2 books per inch.

Because there are 43 inches you're going to multiply by 2.

43(2)= 86.

Hope that helped, have a good day!

the american veterinary association claims.. what is the probabilty that your anual cost will ve within 5 of the mean

Answers

The probability that the annual cost will be 5 of the mean is 0.0912.

How does probability analysis work?

A method used by risk managers to predict upcoming events, like accidental and commercial losses. In order to determine a probability distribution that can be applied to forecast future losses, this procedure involves reviewing historical loss data.

X = Annual cost of medical care for dogs.

X~ Normal (μ = 200, σ = 60)

Sample size n = 16

We know that the sample mean Xbar has a normal distribution with mean = μ and sd = σ/√n

Xbar ~ Normal (μ’ = 200, σ’ = 60/√16 = 15)

Required probability -

P[Average cost of medical care for 16 sampled dogs is > 220]

= P[Xbar > 220]

= P[(Xbar-μ’)/σ’ > (220-200)/15]

= P[Z > 1.3333], Z is a standard normal variable.

= 1 - P[Z < 1.3333]

= 1 - 0.9087, from standard normal table.

= 0.0912

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The complete question is:

A veterinary association claims that the annual cost of medical care for dogs averages $200 with a standard deviation of $60, and for cats averages $240 with a standard deviation of $70. Assume the costs follow a normal distribution. What is the probability the average annual cost of medical care for 16 randomly chosen dogs is greater than $220.

I don’t know I just need the answer

Answers

5.6 I think but I’m not 100% sure just use

What should be the value of a if the value of 2x^2 XA equals to 5 when?

Answers

The value of a is  -5. All phrases that involve x become zero when we set their value to zero, leaving only constant terms.

The given equation is 2x^2 + x -a  = 5.

let's try to understand what is an equation.

An equation can be defined in numerous ways. Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions. For example,

The two equations 4x + 56 and 14 are joined by the equal sign to get the equation 4x + 56 = 14. Algebraic equations in mathematics frequently have one or more variables.

There are many different kinds of equations, including cubic, quadratic, and linear equations.

There are many distinct sorts of equations, depending on the degree of the equation.

2x^2 + x -a  = 5. put x = 0.

2*0 + 0 - a  = 5

0 + 0 -a = 5

-a =5

a = -5.

So the value of a is -5.

Given Question is incomplete complete question here:

What should be the value of a if the value of 2x^2+x - a equals to 5

when x = 0?

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Is halting undecidable?

Answers

Therefore , the solution of the given problem of tractable problem comes out be it is the most frequently encountered problem that has been discovered to be insoluble.

What is a tractable problem?

a process that completes a manageable task in a polynomial amount of time. The polynomial upper bound is used. If an issue cannot be resolved in a polynomial amount of time, it is referred to as being intractable. The bound's minimum is exponential.

Here,

There is no programme that can resolve the halting difficulty for sufficiently general computer programs,

making it the most frequently encountered problem that has been discovered to be insoluble.

The type of computer software we're discussing must be made clear.

Therefore , the solution of the given problem of tractable problem comes out be it is the most frequently encountered problem that has been discovered to be insoluble.

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The bill is 42 dollars, taxes is 9%, and the tip given is 18%. What's the Total?

Answers

The total cost of the bill that sells for $42 is $54.0204

How to determine the total cost of the bill?

From the question, we have the following parameters that can be used in our computation:

Cost of the bill = $42

Sales tax = 9%

Tip = 18%

The total cost of the bill that sells for $42 is then calculated as

Total cost = Selling price * (1 + Sales tax) * (1 + tip)

Substitute the known values in the above equation, so, we have the following representation

Total cost = 42 * (1 + 9%) * (1 + 18%)

Evaluate

Total cost = $54.0204

Hence, the total cost is $54.0204

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Unit 1 geometry basics Homework 2
pls help! i’ll mark brainliest

Answers

The value of AB= 24 BD is congruent to BC. BD=BC

BD = 5x – 26, BC = 2x + 1, and AC = 43

How to find value of AB?From the diagram , AC=AB+BCTo find out , we need to find  BC first . For that we have to find out xWE know that BD=BC, using that we solve for x5X-26=2X+1SUBSTRACT 2X3X-26=1ADD 263x=27x=9Now we plug in 9 for x  and find out BCBC=2x+1BC=2(9)+1BC=19We know AC= 43AC=AB+BC43=AB+19subtract 19AB=24

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Which shape has atleast one pair of perpenicular sides

Answers

The fourth shape which is a square has at least one pair of perpendicular sides.

What is a quadrilateral?

A quadrilateral is a closed object in geometry that is created by connecting four points, any three of which are not collinear. There are 4 sides, 4 angles, and 4 vertices in a quadrilateral.

In the third figure, it is a parallelogram,

In a parallelogram, the opposing or confronting sides are of equal length, and the opposing angles are of equal size.

The sum of adjacent angles is 180° but individuals are not right angles.

The fourth figure is a square and by the properties of a square, all the interior angles are right angles.

Therefore, It has two pairs of perpendicular sides.

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Evaluate the expression 2^x- x^22
x
−x
2
2, start superscript, x, end superscript, minus, x, squared for x=5x=5

Answers

The evaluation of the expression 2ˣ - x² when x = 5 is 7

How to evaluate the expression

From the question, we have the following parameters that can be used in our computation:

Expression: 2^x- x^2

Value x = 5

Rewrite the expression as

Expression: 2ˣ - x²

Substitute the known values in the above equation, so, we have the following representation

2ˣ - x² = 2⁵ - 5²

When the exponents are evaluated. we have

2ˣ - x² = 32 - 25

Evaluate the like terms in the equation

So, we have the following representation

2ˣ - x² = 7

Using the above as a guide, we have the following:

The solution is 7

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what is the difference of 1 and a number?

Answers

the number i hope this helps you out some it helps me out because i need more points

Compute the following for the function defined below. Simplify your answers. Note: Use lowercase letters in your answers. f(x) 3x 8 (a) f(x+h) - (b) f(x+h)-f(x)= (c) ixth-fx). Submit Answer

Answers

Answer is 3h after simplification.

What is function?

Function is a mathematical expression that represent the relationship between an independent variable and dependent variable. The set of values of independent variable is termed as input of function and the set of value of dependent variable is called output.

What is the value of function?

given, a function. f(x) = 3x -8

if we want to write x + h instead of x

then the function will be f(x + h) = 3(x + h) - 8

f (x + h) - f(x) = 3(x+ h) - 8- (3x -8)

f( x + h) - f(x) = 3(x +h) - 8 - 3x+ 8

f(x + h) - f(x) = 3(x + h) - 3x

f(x + h) - f(x) = 3x + 3h - 3x

f(x +h) - f(x) = 3h

hence, the above is the result.

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Write an equation in slope-intercept form of the line that passes through the points (-5,-12) and 2,9) .

The equation is y=

Answers

Answer:

y=3x+3

Step-by-step explanation:

please help solve this its for geometry

Answers

Answer:

Step-by-step explanation:

1.RS+ST=RT. so 9y+2+2y+7=15y-11

2.11y+9=15y-11

3.15y-11y=11+9

4.4y=20

finally we find the answer is y=5

A manufacturer tests 1200 computers and finds that 9 of them have defects. Find the probability that a computer chosen at random has a defect. Round your answer to the nearest hundredth.

Answers

Probability that computer chosen at random has defect is 0.0075.When we don't know how an event will turn out, we can discuss the likelihood or likelihood of various outcomes.

What is probability?

It is based on the likelihood that something will occur. The justification for probability serves as the main foundation for theoretical probability. For instance, the theoretical chance of getting a head when tossing a coin is 12.

Total number of computers=1200

Total number of damage computers=9

Probability that question chosen at random has defect = 9/1200=0.0075

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A water sample must be taken from water at least 20 feet deep. Find the depth of the water feet from shore

Answers

The depth of water from the shore is 15 feet.

What is a proportion?

A proportion is an equation that states that two ratios are equal. It can be written in the form of a/b = c/d. The two ratios, a/b and c/d, are called the terms of the proportion.

The cross-products of a proportion are also equal, so ad = bc.

To solve for d in the equation 5/1.5 = 50/d, you can start by multiplying both sides of the equation by 1.5 to cancel out the denominator on the left side. This gives:

5 = 50/d * 1.5

Next, you can simplify the right side of the equation by multiplying 50 and 1.5, which gives:

5 = 75/d

To solve for d, you can now cross-multiply to get:

75 = 5d

Finally, you can divide both sides of the equation by 5 to get:

d = 75/5

d = 15

the value of d is 15.

Hence, the depth of water from the shore is 15 feet.

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The depth of water from the shore is 15 feet.

What is a proportion?

A proportion is an equation that states that two ratios are equal. It can be written in the form of a/b = c/d. The two ratios, a/b and c/d, are called the terms of the proportion.

The cross-products of a proportion are also equal, so ad = bc.

To solve for d in the equation 5/1.5 = 50/d, you can start by multiplying both sides of the equation by 1.5 to cancel out the denominator on the left side. This gives:

5 = 50/d * 1.5

Next, you can simplify the right side of the equation by multiplying 50 and 1.5, which gives:

5 = 75/d

To solve for d, you can now cross-multiply to get:

75 = 5d

Finally, you can divide both sides of the equation by 5 to get:

d = 75/5

d = 15

the value of d is 15.

Hence, the depth of water from the shore is 15 feet.

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The volume of a cylinder is 60 cubic centimeters. What is the number of cubic centimeters in the volume of the sphere it circumscribes

Answers

Call the radius of the cylinder and sphere, r And the height  of the cylinder  = 2r

How to Calculate Volume in Cubic Centimeters?Calculating volume is just another way of saying that you're measuring the amount of space inside a three-dimensional object. You can use standardized formulas for calculating the volume of shapes like cubes, cylinders and spheres, as long as you know their basic measurements.So60  =  pi * r^2 * 2r30 =  pi * r^330/pi  =  r^3[30/pi]^1/3  =  rSo...the volume of the sphere is(4/3)pi [ (30/pi)^1/3 ]^3  =(4/3) pi * 30/pi  =40 cm^3A cubic centimetre (or cubic centimeter in US English) (SI unit symbol: cm3; non-SI abbreviations: cc and ccm) is a commonly used unit of volume that corresponds to the volume of a cube that measures 1 cm × 1 cm × 1 cm. One cubic centimetre corresponds to a volume of one millilitre.How to Work out Volume with Cubic Centimetres. If a container was filled with water and it had a length of 20 cm, a height of 5 cm and a depth of 4 cm to work out the volume of water you would need to multiply all 3 numbers together. 20 cm x 5 cm x 4 cm = 400 cm³

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a) What type of triangle is triangle ABC? b) Give reasons for your answer. I need the correct answer for B with Reasons Not "ab and ac are the same" any word other than the same ​

Answers

Answer:

Δ ABC is isosceles

Step-by-step explanation:

∠ ABC and ∠ BCE are alternate angles and are congruent , that is

∠ BCE = ∠ ABC = 80°

since DE id a straight line then the angles lying on it sum to 180° , that is

∠ ACD + ∠ ACB + ∠ BCE = 180°

50° + ∠ ACB + 80° = 180°

∠ ACB + 130° = 180° ( subtract 130° from both sides )

∠ ACB = 50°

∠ BAC and ∠ ACD are alternate angles and are congruent , that is

∠ BAC = 50°

then

∠ BAC = ∠ ACB = 50°

Since the 2 base angles are congruent then Δ ABC is isosceles

Which statement best describes the function?

A. The function is negative when x<0

B.the function is negative when x<0 and when x>0

C. The function is never negative

D. The function is negative when x>0

Answers

Therefore ,Because the function lies above the x-axis for values of x > 0, it is positive. So, choice D is the right one.

What is function?

Each x value in the domain has one but only one y value

range, according to the rule of a function. Definition. If there is only one and only one value of x such that f(x) = y, then the function is one-to-one.

Here,

It is discovered that the right answer is provided by: D using function ideas. If x is zero, the function is negative.

The graph is positive if it is located above the x-axis.

A negative graph is one that is located below the x-axis.

The graph of the function in this issue is shown by the red line, and:

The function is negative for x values less than 0 since it is below the x-axis.

Therefore ,Because the function lies above the x-axis for values of x > 0, it is positive. So, choice D is the right one.

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Question 2 of 5
Simplify.
(m3)6 +m18
A. m4
B. 1
C. m
D. m-9
SUBMIT

Answers

Using the first index law, the solution provided indicates that this has a value of 1.

What is the first index law?

X to the power of A multiplied by X to a power of B results in X to the power of A + B, according to the first law of indices. Keep in mind that adding the indices when multiplying terms with them means that the base must remain constant throughout.

What exactly is index theory?

A topological invariant of a certain class of differential operations on a manifold is studied in index theory, as well as the invariant's local formula in terms of the manifold's geometry. inspirational cases. operator elliptic The index theorem by Atiyah-Singer.

According to the given information:

(m³)⁶/m¹⁸ = m³ˣ⁸/m¹⁸

= m¹⁸/m¹⁸

= 1

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how do the locations where photosynthesis occurs differ in prokaryotes and eukaryotes The Grand Canyon has much more than pretty scenery. It contains an amazing diversity of rock formations with an abundance of fossils hidden within. These fossils provide clues about past environments. The sedimentary rocks exposed throughout the canyon are rich in fossils, including fossils of these marine (ocean) brachiopod shells.QUESTION: How does fossil evidence help you explain how the Grand Canyon formed? Write your answer (PLEASE ANSWER IN ESSAY FORMAT) Explain why this scenario does or does not represent a violation of a client's right to self-determination.Situation: Howard, a clinical social worker with clients in a men's minimum security prison, has one clientwho repeatedly begs for answers to help him overcome the behaviors that landed him in prison. Howardhas maintained his professional ethics and boundaries, and has patiently repeated results of counselingsessions and informed the client of relevant available services. One day when Howard's client wasespecially agitated, he accused Howard of not being very helpful and demanded to see a different socialworker who would "offer more acceptable answers." Howard lost his temper after spending so much timewith this client and told him to either accept the answers and services he had offered or plan to remain inprison. Write 6789 correct to 3 significant figures How did Americans react to the Selective Service Act? this is worth 90 points!!! I need it in 1 dayGraded AssignmentConsumer Protection ResearchConsumer health laws ensure that health products are safe and effective and that services are provided by competent professionals. They also require businesses to disclose information about their products, especially information related to health and public safety. What would life be like if we didnt have these kinds of regulations on businesses? For this assignment, you will research laws and regulations related to consumer health and analyze a situation where these regulations were violated by a business.Part 1 InstructionsUse the internet and other resources to conduct research into the laws and regulations of your state or country dedicated to consumer protection. Key topics to search may include the following:(a) consumer protection laws(b) consumer rights(c) consumer protection agencies and organizations(d) consumer protections in marketing and advertising(e) health product violationsIn the United States, the Federal Trade Commissions Bureau of Consumer Protection is a good place to start. Visit the website at: https://www.ftc.gov/about-ftc/bureaus-offices/bureau-consumer-protectionAlso, research events where a health product or service was found to violate consumer protection laws. Some examples of products to research may include dietary supplements, cosmetics, prescription drugs, or medical devices.As you conduct your research, write down each source you find and take notes on specific consumer protection laws and violations in your Health Notebook. Be sure to evaluate the validity of each source. Is the source reputable and reliable? Can you find other reliable sources that verify the information? Only use reliable sources for this assignment. You will explain how you determined the validity of the information provided by each source below.Part 2 InstructionsChoose one of the examples you found in your research of a health product or service that was found in violation of consumer protection laws. Write a one-to-two-page article to share your findings with others. Your article must include the following:(a) a description of the health product or service(b) an analysis of how the health product or service violated consumer protection laws(c) a summary of how these laws were then enforcedWere any changes made to the product? Was it removed from public access? Describe what happened to the business and product.(d) your conclusion describing the importance of consumer protection laws(e) proper spelling and grammarTotal score: ____ of 40 points1. What sources did you consult for this assignment? List at least three and explain how you evaluated the validity of the information provided by each source. Type your answer here.2. How do consumer protection laws protect consumers when we buying a product? Explain at least three different ways. Example 1:Type your answer here.Example 2:Type your answer here.Example 3:Type your answer here.3. What health products or services have violated consumer protection laws? Describe at least three different examples. Example 1:Type your answer here.Example 2:Type your answer here.Example 3:Type your answer here.4. Write a one-to-two-page article to share your findings with others. Be sure to use proper spelling and grammar.Type your answer here. question 12 to find the shaded portion What does the daffodils represent in the poem? How can we solve the wealth gap? How does the use of imagery and figures of speech in writing make strong connection to the readers? Is log e and log same? How does the atmosphere painted by the writer make everyone uneasy? What tells you that the passengers of the carriage suspected each other? Support your answer with evidence from the chapter Why does the Texas Real Estate Commission approve or promulgate, or both, specific forms to be used in real estate transactions? Common law is a term for the laws that are familiar to most of us. True False A piece of wood has a mass of 303030 grams (\text{g})(g)left parenthesis, start text, g, end text, right parenthesis and a volume of 404040 cubic centimeters \left(\text{cm}^3\right)(cm 3 )left parenthesis, start text, c, m, end text, cubed, right parenthesis. A second piece of wood has the same density \left(\dfrac{\text{g}}{\text{cm}^3}\right)( cm 3g )left parenthesis, start fraction, start text, g, end text, divided by, start text, c, m, end text, cubed, end fraction, right parenthesis and a volume of 240\ \text{cm}^3240 cm 3 240, space, start text, c, m, end text, cubed. What is the mass, in grams, of the second piece of wood? A research company desires to know the mean consumption of meat per week among males over age 27. They believe that the meat consumption has a mean of 4.7pounds, and want to construct a 98 % confidence interval with a maximum error of 0.09 pounds. Assuming a variance of 1 pounds, what is the minimum number ofmales over age 27 they must include in their sample? Round your answer up to the next integer. Changes in real GDP reflect Question 12 options: a) both changes in prices and changes in the amounts being produced. B) neither changes in prices nor changes in the amounts being produced. C) only changes in the amounts being produced. D) only changes in prices what kind of information does this map show What is -6 - t/4 = -1 Write and solve the inequality that represents negative one third is greater than or equal to the product of negative two fifths and a number. negative one third is greater than or equal to negative two fifths y where y is greater than or equal to negative five sixths negative one third is greater than or equal to negative two fifths y where y is greater than or equal to five sixths negative two fifths is greater than or equal to negative one third y where y is less than or equal to negative two fifteenths negative two fifths is less than or equal to negative one third y where y is greater than or equal to two fifteenths