2. ROLLERCOASTER At a theme park, a person must be a certain height to ride a
rollercoaster. A person must be h inches tall, plus or minus 1.5 inches. Anoki says
the absolute value expression 1.5 - h| represents an acceptable height. David
says the absolute value expression In - 1.5| represents an acceptable height. Who
is correct? Explain.

Answers

Answer 1

Answer:

Both Anoki and David are correct. Both expressions are equivalent to the difference between the measurements and are always positive because they give the absolute value of the difference.

Sorry for answering so late.

Step-by-step explanation:

Answer 2

Both of their absolute value expression is correct because the final height will always be same.

Given,

At a theme park, a person must be a certain height to ride a rollercoaster.

A person must be h inches tall, plus or minus 1.5 inches.

Anoki says the absolute value expression | 1.5 - h | represents an acceptable height.

David says the absolute value expression I h - 1.5 | represents an acceptable height.

We have to find who is correct in expressing the absolute value.

What is absolute value?

It is expressed in | x |.

Where x is any number.

The value of x can be negative or positive.

The absolute value will always be a positive value.

|m| =  and |-m| = m.

We have,

Anoki absolute value expression: | 1.5 - h |

David absolute value expression: | h - 1.5 |

Suppose let us consider h = 72.

Now,

| 1.5 - h | = | 1.5 - 72 | = | -70.5 | = 70.5

| h - 1.5 | = | 72 - 1.5 | = | 70.5 | = 70.5

We see that both have the same value.

Thus both of their absolute value expression is correct.

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Related Questions

What is the name of a person or business that is a partial owner of a
company?
O A. Shareholder
O B. Insurance agent
C. Broker

Answers

Answer:

it is shareholder

Step-by-step explanation:

Shareholder is  the name of a person or business that is a partial owner of a company.

What is Business?

Business is the practice of making one's living or making money by producing or buying and selling products.

A shareholder is an individual or entity that owns a portion of a company's outstanding shares of stock.

By owning a share in a company, shareholders have a claim on its assets and earnings proportional to the number of shares they hold.

Shareholders have the potential to earn a return on their investment through dividends or capital gains if the company's stock price increases.

Shareholders also have the right to vote on important company matters, such as the election of the board of directors and major corporate decisions.

Therefore, the term "shareholder" accurately describes someone who owns a partial interest in a company.

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What value of p makes the equation true?

Answers

Answer:

p = 1/8

Step-by-step explanation:

-3p + 1/8 = -1/4

-3p = -1/8 -14 /*8

-24p = -1 -2

-24p = -3  /:(-24)

p = 1/8

7n-4=31 I need help to solve n

Answers

7n-4=31
7n=31-4
7n=27
n=27/7
:n=3
It’s equation and it’s really easy to solve

How do you write 889,000 in scientific notation?

Answers

Answer:

8.89×10(5)

Step-by-step explanation:

For 889,000 move the decimal over between the 8's never in the very front count the digits behind the first 8 that's how you get it to scientific notation.

G.C0.C.9 worksheet answer key

Answers

Answer:

Step-by-step explanation:

the difference between 2 whole numbers is 66. the ratio of the 2 numbers is 2:5, what are the 2 numbers​

Answers

Answer:

44 and 110

Step-by-step explanation:

The ratio of the 2 numbers = 2 : 5 = 2x : 5x ( x is a multiplier ) , thus

difference = 5x - 2x = 3x , then

3x = 66 ( divide both sides by 3 )

x = 22

Thus

2x = 2 × 22 = 44

5x = 5 × 22 = 110

The 2 numbers are 44 and 110

Which of the following rounds most closely to 1? 1/5, 4/5, 4/8 or 2/3

Answers

Answer:

I think it’s 4/5 hope this helps

Step-by-step explanation:

Answer:

The answer is 4/5.

Step-by-step explanation: When you divide 4/5 it equals to 1.25, 1/5 equals to 5, 4/8 equals to 2 and 2/3 equals to 6. Therefore, 4/5 is closer to 1.

Use the terms below to create a linear equation with a solution of x = 10
Terms: x 2 4 5

Answers

Answer:

[tex]x = \frac{4 * 5}{2}[/tex]

Step-by-step explanation:

x = 10

x = 20 / 2

x = 4*5 / 2

Linear equation with a solution x = 10 and wit given terms is equals to

2x -  4 × 5 =0.

What is linear equation in one variable?

" Linear equation in one variable is a equation with one variable and highest degree of the equation is equals to one, with two real numbers a and b."

General form of linear equation in one variable

ax + b = 0

According to the question,

x = 10

Convert this in terms of 2,4, and 5

Therefore,

    x = 20 / 2

⇒ 2x = 4 × 5

2x - 4 × 5 =0

Hence, linear equation with a solution x = 10 and wit given terms is equals to 2x -  4 × 5 =0.

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The mass of a chocolate bar is 200 g. A box contains 150 chocolate bars. What is the
total mass of the chocolate bars in kilograms?

Answers

I got 30,000 when I multiplied 200 time 15”. Then I searched in google for 30,000 grams transferee into kilo grams and it’s 30! Hope this helps! Give me a like please it would be appreciated

The total mass of the chocolate bars in kilograms is 30000.

Given that,

The mass of a chocolate bar is 200 g. A box contains 150 chocolate bars.

Calculation:

[tex]= 200 \times 150[/tex]

= 30,000

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I need some help... Sarah's teacher wrote this expression on the whiteboard. 24 ÷ 6 − 2 × 5 + 6 Where could she place brackets in the expression for it to be equal to 36? A. 24 ÷ [6 − 2] × 5 + 6 B. 24 ÷ 6 − [2 × 5 + 6] C. [24 ÷ 6] − 2 × 5 + 6 D. 24 ÷ 6 − 2 × [5 + 6]

Answers

Answer:

A. 24 ÷ [6 − 2] × 5 + 6

Step-by-step explanation:

We are given the expression:

24 ÷ 6 − 2 × 5 + 6

Where could she place brackets in the expression for it to be equal to 36?

We have to follow a rule in mathematics that is referred to as :

PEMDAS

P = Parentheses (Brackets)

E = Exponents

M = Multiplication

D = Division

A = Addition

S = Subtraction.

When given a mathematical expression with a lots of operations embedded in it, we use PEDMAS rule to solve for it correctly.

Option A 24 ÷ [6 − 2] × 5 + 6 is the correct Option to give us 36. This is because, following the PEDMAS rule.

P = Parentheses comes first

24 ÷ [6 − 2] × 5 + 6

= 24 ÷ 4 × 5 + 6

Division comes next

24 ÷ 4 × 5 + 6

= 6 × 5 + 6

Multiplication comes next

6 × 5 + 6

= 30 + 6

Finally , Addition

= 36.

Therefore, Option A is the correct Option, that shows us where the brackets should be placed to give us 36

Kirstin knows that the initial fee for adopting a dog from the animal shelter is $75. This fee needs to be considered when calculating how much a dog will cost. Write a function, C(d), to represent the cost to adopt and feed the dog in terms on the number of days (d) that kirstin owns her dog

Answers

Answer:

The function is represented by [tex]C(d) = 75\,USD + r\cdot d[/tex].

Step-by-step explanation:

In this case, we must observe that total cost of the dog ([tex]C(d)[/tex]) is the sum of two components: i) Fixed cost ([tex]C_{f}[/tex]) - Adoption fee, ii) Variable cost ([tex]C_{v}[/tex]) - Daily cost of feeding the dog, both measured in US dollars.

In addition, we suppose that variable cost is directly proportional to the number of days that Kirstin owns her dog. That is:

[tex]C (d) = C_{f} + C_{v}[/tex]

[tex]C(d) = C_{f} + r\cdot d[/tex]

Where:

[tex]d[/tex] - Number of days that Kirstin owns her dog, measured in days.

[tex]r[/tex] - Daily feeding costs, measured in US dollars per day.

If [tex]C_{f} = 75\,USD[/tex], then:

[tex]C(d) = 75\,USD + r\cdot d[/tex]

The function is represented by [tex]C(d) = 75\,USD + r\cdot d[/tex].

5- 55+41 = 15
3r + 55 - 61 = 7
-r + 5s - 5 = 20

Answers

Step-by-step explanation:

5-55+41=15

50+41=15

91=15

94-15

=79

3r+55-61=7

3r=7+61-55

3r=7+6

3r=13

3r/3=13/3

r=13/3

r+5s-5=20

r+5s=20+5

r+5s=25

I need help with number 14 and 16

Find each angle measure

Answers

Answer:

number 14 every angle is 90°

When f(x) = x2+9 and g(x) = x-9, find f(x)-g(x).

Answers

Answer:

[tex] \huge{ \boxed{ \sf{ {x}^{2} - x + 18}}}[/tex]

Step-by-step explanation:

[tex] \underline{ \text{Given}}: [/tex]

[tex] \sf{f(x) = {x}^{2} +9 \: and \: g(x) = x-9}[/tex]

[tex] \underline{ \text{To \: find}} : \sf{ \: f(x) \: - \: g(x)}[/tex]

Put the values:

[tex] \mapsto{ \sf{ {x}^{2} + 9 - ( x - 9)}}[/tex]

While subtracting , sign of each term of the second expression changes.

[tex] \mapsto{ \sf{ {x}^{2} + 9 - x + 9}}[/tex]

Add the numbers : 9 and 9

[tex] \mapsto{ \boxed{ \sf{{x}^{2} - x + 18}}}[/tex]

Hope I helped!

Best regards! :D

~[tex] \text{TheAnimeGirl}[/tex]

Find the gradient of the line segment between the points (-6,3) and (-4,-1).

Answers

Answer:

-2

Step-by-step explanation:

(-6,3) (-4,-1)

change in y-coordinate/change in x-coordinate=-1-3/-4--6=

-4/2=-2

=-2

The equation of the line will be y = -2x - 9. Then the gradient of the line segment will be negative 2.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the gradient of the line and c is the y-intercept of the line.

The two points are given below.

(-6, 3) and (-4, -1)

The equation of the line that passes through (-6, 3) and (-4, -1) will be given as,

(y + 1) = [(- 1 - 3) / (- 4 + 6)](x + 4)

y + 1 = -2(x + 4)

y + 1 = -2x - 8

y = - 2x - 9

The equation of the line will be y = -2x - 9. Then the gradient of the line segment will be negative 2.

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Three siblings are comparing their ages. Jenna is the youngest. Her brother Carl is 6 years older than her. Her sister Eve is twice her age. The sum of their ages is 42. Let j represent Jenna’s age. Write an equation for this situation.

Answers

Answer:

6+j=42

Step-by-step explanation:

if its twice his age then u would multiply that by 6 which then the answer would then give you the missing j which then help u answer the equation

The equation to represent the age is 4j + 6= 42.

What is Algebra?

Algebra is the branch of mathematics that helps in the representation of problems or situations in the form of mathematical expressions.

It involves variables like x, y, z, and mathematical operations like addition, subtraction, multiplication, and division to form a meaningful mathematical expression. All the branches of mathematics such as trigonometry, calculus, coordinate geometry, involve the use of algebra. One simple example of an expression in algebra is 2x + 4 = 8.

given:

let the age of Jenna be j

then Carl's age = j +6

Eve's age = 2j

And, sum of their ages is 42

j + 6 +j + 2j =42

4j + 6= 42

Hence, the equation to represent the age is 4j + 6= 42.

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UPS charges $6 for the first pound, and $0.20 for each additional pound. FedEx charges $4 for the first pound and $0.30 for each additional pound. How many pounds, x, will it take for UPS and FedEx to cost the same?

Answers

Answer:

21 pounds

Hope this helps ( :

Select all true statements if n || m

Help pleaseeee!!!!

Answers

Answer:

Here we assume that m and n are parallel.

Then the true statements are:

m∠2 = 20°.

You can see that the same ray cuts the two parallel lines, in one the angle formed in the left side is 20°, then the same must happen for the other line, then the measure of angle 2 is equal to 20°.

m∠3 = 100°,

We will have that:

m∠2 + m∠3 + m∠4 = 180°.

We know that m∠2 = 20°.

And if you look at m∠4, you can see that the same ray that defines it, also defines a 60° angle in the line n, then m∠4 = 60°.

then we have:

20° + m∠3 + 60° = 180°

m∠3 = 180° - 60° - 20° = 100°.

m∠2 + m∠4 = 80°.

This can be proved using the same reasoning as above.

If you multiply the numerator and the denominator of a fraction by the same number the result will be a(n)______fraction

Answers

Answer:

Step-by-step explanation:

2/4 times 2/3 = 2/1 i think then multiply 2/2 =4/2 i don't know if its right

how do i solve this question?

Answers

Answer: C

Step-by-step explanation:

Sine y has a power of -1/3 you bring y^-1/3 to the bottom. It become y^1/3. Then you subtract x^1/2 and x^1/4 because x^1/2 is on the top and x^1/4 is on the bottom it equals x^1/4. Since 1/2 is bigger than 1/4, x^1/4 will be on top. The y^1/2 and y^5/6 are both on the bottom so you add them and it equals y^5/6 and that will be on the bottom. So your answer is C.

Investment that you bought for__ And sold for __ Made a profit
A.1250;1500
B.1500;1000
C.1250;1000
D.1500;1250

Answers

A. bought for 1250, sold for 1500

To make a profit, you have to sell an item for more than you bought it for. A is the only scenario in which profit was being made.

Choose the equation that could be used to find three consecutive integers whose sum is 36. (5 points)

Group of answer choices

n + (n + 2) + (n + 4) = 36

n + (n + 1) + (n + 3) = 36

n + (n + 1) + (n + 2) = 36

n + (n − 1) + (n − 3) = 36

Answers

Let the first no consecutive be n
1st no n
2nd no (n+ 1)
3rd no (n+2)
As you said the summation of these three consecutive numbers is 36 , the equation will be
n + (n+1)+(n+2) = 36

I hope this helps

If you have the pre-image point A(-4,1), what is the coordinates of point A" after the composite transformation rotation +90 degrees about origin, then reflection over line y= -x? *

Answers

Answer:

(4,1)

Step-by-step explanation

1. A (-4,1)-> Original

2. I am going to assume it is 90 degrees counterclockwise since it is not specified. The formula is (-y,x)-> (-1,-4)

3. The formula is (-y,-x)-> (4,1)

I think it is (4,1) but I am not a hundred percent sure since I am also a geometry student.

Answer:

The answer is D, 4,1

Step-by-step explanation:

2. Solve for x:
X+30
X

Answers

I’m guessing x would be 30. 30 times 3 would be 90. Also the angles equal a right angle

Which statement is true about 73?
A. It is a prime number.
B. It is a composite number.
C. It is a whole number that is neither prime nor composite.
D. It is not a whole number.

Answers

Answer:

prime number

Step-by-step explanation:

Answer:

A. It is a prime number.

Step-by-step explanation:

I BET NO ONE KNOWS THIS QUESTION. What does it mean to have reliable findings?

A. The findings show a high correlation.
B. The concepts are measuring what they actually claim to measure.
C. The results can be replicated and other researchers will get the same results.
D. All of these choices are correct.

Answers

Answer:

Should be D

Step-by-step explanation:

D. All of these are correct

Come someone help me

Answers

Answer:

f= 3x2+14x−5 /x

Step-by-step explanation:

Is the right answer c. region 4?

Answers

Answer:

yes

Step-by-step explanation:

I know this because I did that same assignment

Yes that would be it

POINTS
need answers blanks, theres choices 2

Answers

Answer:

1 Point J, Point L

2. HK↔

Step-by-step explanation:

Collinear means on the same line

J and L are on the same line as K

Another name for a line b is HK↔  We can name it by using two points on the line and using the line with two arrows on the end

Cheryl paid 37.20 for 12 gallons of ice cream for a school picnic how much would one quart of cream cost

Answers

Answer:

$.775 for a quart

Step-by-step explanation:

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