7.682/0.072
please help long division

Answers

Answer 1

The value of 7.682/0.072 using long division is 106 25/36

What is division?

Division is a mathematical operation which involves the sharing of an amount into equal-sized groups.

By solving this, we need to make both the numerator and denominator a whole number by multiplying all by 1000

= (7.682×1000)/0.072 × 1000

= 7682/72

divide through by 2

= 3841/36

Now there is no common factor between the numerator and denominator,

We therefore find the number of 36 in 3841

= 106 remainder 25

therefore 7.682/0.072

= 106 25/36

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Related Questions


Jerrica and her brother like to play chess. About a month ago they decided to keep track of how manygames they have won. As of today, Jerrica has won 20 out of the 35 games against her brother.
a. How many games would Jerrica have to win in a row in order to have an 80% winning record?
Justify your answer.

Answers

Jerrica would have to win 40 additional games in a row to have an 80% winning record. This would bring her total wins to 20 + 40 = 60, and her total games played to 35 + 40 = 75.

To determine how many games Jerrica would have to win in a row in order to have an 80% winning record, we need to calculate the number of games she needs to win out of a certain total.

Let's denote the number of games she needs to win in a row as x. If she wins x additional games, her total wins would be 20 + x, and her total games played would be 35 + x.

To have an 80% winning record, she would need to win 80% of the total games played. Mathematically, this can be expressed as:

(20 + x) / (35 + x) = 80 / 100

Cross-multiplying, we get:

100(20 + x) = 80(35 + x)

Expanding and simplifying:

2000 + 100x = 2800 + 80x

Subtracting 80x from both sides:

20x = 800

Dividing by 20:

x = 40

Jerrica would have to win 40 additional games in a row to have an 80% winning record. This would bring her total wins to 20 + 40 = 60, and her total games played to 35 + 40 = 75.

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-3x-5x+8=16
Please I don’t understand

Answers

-1

We can solve in this way,

-3x-5x+8=16

-8x=16-8

-8x=8

x= -8/8

x= -1

Therefore for this equation, x= -1.

You combine -3x-5x and then get -8x. -8x+8=16 then you subtract 8 from both sides 8-16 you get 8. -8x=8 divid them by -8 and you get -1




Answer is -1

Who is most affected by a discrepancy in dosage

Answers

When it comes to medication or medical care, the person who would usually face the greatest impact from a discrepancy in dosage is the individual who is undergoing the treatment.

What is the  discrepancy in dosage

Insufficient dosage may result in a lack of intended therapeutic effects and failure to improve the patient's condition as anticipated. Also, if the amount administered is excessive, the individual may suffer from negative consequences or possible injury.

It should be noted that the effects of a difference in medication dosage can differ based on the type of medicine, the condition being treated, and personal characteristics like age, weight, general health, and specific reactions or sensitivities.

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10)
Solve the triangle. Round decimal answers to the
nearest tenth.

Answers

The value of side length x and y in the right triangle is 5.7 and 9.4 respectively.

What is the value of x and y?

The figure in the image is a right triangle.

Angle G = 59 degree

Hypotenuse = 11

Adjacent to angle G = x

Opposite to angle G = y

To solve for the missing side length x and y, we use the trigonometric ratio.

Note that:

Sine = opposite / hypotensue

Cosine = adjacent / hypotensue

Solving for x:

cos( G ) = adjacent / hypotensue

Plug in the values:

cos( 59 ) = x / 11

Cross multiply

x = cos( 59 ) × 11

x = 5.7 units

Solving for y:

sin( G ) = opposite / hypotensue

Plug in the values:

sin( 59 ) = y / 11

Cross multiply

y = sin( 59 ) × 11

y = 9.4 units

Therefore, the value of y is approximately 9.4 units.

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Square the following numbers.
a. 4
b. 6
c. 13
d. 10

Answers

(a) The  square of 4 = 16

(b) The  square of 6 = 36

(b) The  square of 13 = 139

(b) The  square of 10 = 100

We know that,

Square of a number is nothing but product of a number with itself.

And it gives power  2.

(a) Now the given number is 4:

The  square of 4 = 4²

                            = 4x4

                            = 16

(b) The given number is 6:

The  square of 6 = 6²

                            = 6x6

                            = 36

(c) The given number is 13:

The  square of 13 = 13²

                            = 13x13

                            = 139

(d) The given number is 10:

The  square of 10 = 10²

                            = 10x10

                            = 100

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Every 2 centimeters on a floor plan represents
meters of the house. The dining room is 8 cm by
10 cm on the floor plan, and the bedroom is 6cm by10cm on the floor plan. If installing tile costs $34
per square meter and installing carpet costs $21 per
square meter, how much would it cost to install tile
in the dining room and install carpet in the bedroom?
Show your work.

Answers

Given statement solution is :- It  would cost $680 to install tile in the dining room and $315 to install carpet in the bedroom.

To find the cost of installing tile in the dining room and carpet in the bedroom, we need to calculate the areas of both rooms first.

Given:

Every 2 centimeters on the floor plan represents 1 meter of the house.

Dining Room:

On the floor plan, the dining room is 8 cm by 10 cm.

Converting this to meters, the dimensions of the dining room are 8 cm / 2 = 4 meters by 10 cm / 2 = 5 meters.

The area of the dining room is 4 meters * 5 meters = 20 square meters.

Bedroom:

On the floor plan, the bedroom is 6 cm by 10 cm.

Converting this to meters, the dimensions of the bedroom are 6 cm / 2 = 3 meters by 10 cm / 2 = 5 meters.

The area of the bedroom is 3 meters * 5 meters = 15 square meters.

Now, let's calculate the costs.

Cost of Tile:

The cost of installing tile is $34 per square meter.

The area of the dining room is 20 square meters.

Therefore, the cost of installing tile in the dining room is 20 square meters * $34/square meter = $680.

Cost of Carpet:

The cost of installing carpet is $21 per square meter.

The area of the bedroom is 15 square meters.

Therefore, the cost of installing carpet in the bedroom is 15 square meters * $21/square meter = $315.

Therefore, it would cost $680 to install tile in the dining room and $315 to install carpet in the bedroom.

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Which of the following show a percent increase greater than 50%? Select all that apply.

Answers

From the given options, the pair of shoes that costs $20 and is sold to the customer for $35 and the shirt that costs $12 and is sold to the customer for $20 both show a percent increase greater than 50%.

To determine which options show a percent increase greater than 50%, we need to calculate the percent increase for each option.

1)A jacket that costs $18 is sold to the customer for $25.

Percent increase = [(New Value - Old Value) / Old Value] * 100

= [(25 - 18) / 18] * 100

≈ 38.89%

2)A hat that costs $8 is sold to the customer for $12.

Percent increase = [(New Value - Old Value) / Old Value] * 100

= [(12 - 8) / 8] * 100

= 50%

3)A pair of shoes that costs $20 is sold to the customer for $35.

Percent increase = [(New Value - Old Value) / Old Value] * 100

= [(35 - 20) / 20] * 100

= 75%

4)A shirt that costs $12 is sold to the customer for $20.

Percent increase = [(New Value - Old Value) / Old Value] * 100

= [(20 - 12) / 12] * 100

= 66.67%

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The complete question is :

Which of the following show a percent increase greater than 50%? Select all that apply.?

A jacket that costs $18 is sold to the customer for $25.

A hat that costs $8 is sold to the customer for $12.

A pair of shoes that costs $20 is sold to the customer for $35.

A shirt that costs $12 is sold to the customer for $20

It was his fault, Officer. You can tell by the kind of car I'm driving and by my clothes that I am a good citizen and would not lie. Look at the rattletrap he is driving, and look at how he is dressed. You can't believe anything that a dirty, longhaired hippie like that might tell you. Search his car; he probably has pot in it.

Answers

The logical fallacy in the provided statement is Ad Hominem.

The speaker in the statement is attacking the character and appearance of the other person ("dirty, longhaired hippie") instead of addressing the actual issue or argument at hand.

The speaker is making assumptions and judgments about the credibility and honesty of the other person based on their appearance and the type of car they drive, rather than presenting valid evidence or reasoning.

This fallacy diverts attention from the topic being discussed and focuses on personal characteristics or attributes of the individual.

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Create the letter M in desmos. It must be a BLOCK M and you can use the following:
Polynomial (degree 3 and higher), Rational, Trigonometric and Logarithmic functions. You're also open to use square root functions, exponential functions, and circles.

Make sure that the top of the "M" does not exceed y = 13 and the bottom does not go below y = 1.5 (use this to figure out the size of the M itself).

Answers

Answer:

  see attached

Step-by-step explanation:

You want a series of functions and their transformations that will develop a graph of a block capital letter "M", using trig functions.

Approach

The block letter M consists mainly of straight lines. To approximate a straight line, we have elected to use the portion of the sine function in the interval [-π/3, π/3] where it is approximately straight, but shows a hint of the sine function.

First, we created a function that moves that segment of the sine function so it is defined between the points (0, 0) and (1, 1). This makes scaling relatively easy.

Then, we created a function that draws that segment between coordinates (a, b) and (c, d).

Letter M

We used this second function to draw segments between the points we chose for the outline of the left half of the letter.

Finally, we created the right half of the letter by reflecting those functions over the vertical line of symmetry (at x = 4.7). The end result is shown in the first attachment. The function and segment definitions not shown in the first attachment are shown in the second attachment. The f( ) in the Reflection section fills in the horizontal segment between the two halves of the letter.

__

Additional comment

Appending this identifier to the Desmos URL will give you the graph and function definitions we show here. This should eliminate the need to type them, if the result here is suitable.

We have used 13 function definitions that need to be changed if you desire to move the letter to different coordinates or scale it. You could combine these into two piecewise functions (one for the top, one for the bottom), so that translation or scaling could be done more easily.

/calculator/mgh4fgvcge

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d) Find the diameter of a circular field whose circumference is 132m​

Answers

Answer:

Step-by-step explanation:To find the diameter of a circular field given its circumference, we can use the formula:

Circumference = π * Diameter

In this case, the circumference is given as 132m. Plugging in the values into the formula, we have:

132m = π * Diameter

To solve for the diameter, we need to isolate it on one side of the equation. We can divide both sides of the equation by π:

132m / π = Diameter

Using a calculator, we can approximate the value of π as 3.14159. Plugging in this value, we have:

132m / 3.14159 ≈ Diameter

Simplifying the division, we get:

Diameter ≈ 42m

Therefore, the diameter of the circular field is approximately 42 meters

find the measurement of angle BEC

Answers

The measure of the angle m∠BEC is equal to 77° using the Angles of Intersecting Chords Theorem

What is the Angles of Intersecting Chords Theorem

The Angles of Intersecting Chords Theorem states that the angle formed by the intersection of the chords is equal to half the sum of the intercepted arcs, and conversely, that the measure of an intercepted arc is half the sum of the two angles that intercept it.

m∠BEC = (arc AD + arc BC)/2

m∠BEC = (45 + 109)/2

m∠BEC = 154/2

m∠BEC = 77°

Therefore, the measure of angle m∠BEC is equal to 77° using the Angles of Intersecting Chords Theorem

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A of friends is buying lunch. Here are some facts about their lunch: a milkshake group costs Rs 7 more than a wrap. The group buys 8 milkshakes and 2 wraps and the total cos for the lunch is Rs 978. Determine the price for each lunch item.​

Answers

Answer: Therefore, the price of a wrap is Rs 92.2 and the price of a milkshake is Rs (92.2 + 7) = 99.2.

Step-by-step explanation:

Let's assume the price of a wrap is x (in Rs).

According to the given information, a milkshake costs Rs 7 more than a wrap. So, the price of a milkshake would be x + 7 (in Rs).

The group buys 8 milkshakes and 2 wraps. Since they bought 8 milkshakes, the total cost of milkshakes would be 8 * (x + 7) = 8x + 56 (in Rs).

Similarly, the total cost of wraps would be 2x (in Rs).

The total cost for the lunch is given as Rs 978.

So, we can set up the equation:

Total cost of milkshakes + Total cost of wraps = Total cost of lunch

(8x + 56) + (2x) = 978

Combining like terms:

10x + 56 = 978

Subtracting 56 from both sides:

10x = 922

Dividing both sides by 10:

x = 92.2

What is the total surface area in square centimeters

Answers

The total surface area of the pyramid is 405.08 cm²

How to find the total surface area?

We have a square pyramid. First, the base has a length of 8.2 cm, then the area of the base is:

B = (8.2cm)² = 67.24 cm²

And the area of base b and height h is:

A=  b*h/2

Here b = 8.2cm and h = 10.3cm, then:

A = (8.2cm*10.3cm)/2 =  84.46 cm²

And there are 4 triangular faces, so the total area is:

area =  67.24 cm² + 4*84.46 cm² = 405.08 cm²

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Given f(X) = 3x and g(x) = V2x, what is the value of (f • g) (8)?

Answers

F(X) =3x
F(-2)=-6
F(-1)=-3
F(0)=0
F(1)=3
F(2)=6

Brooklyn is going to invest in an account paying an interest rate of 3.5% compounded continuously. How much would Brooklyn need to invest, to the nearest ten dollars, for the value of the account to reach $64o in 9 years?

Answers

The amount of money Brooklyn need to invest, for the value of the account to reach $640 in 9 years is $470

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let P represent the amount of money that Brooklyn should invest, hence:

Since the interest is 3.5% (0.035) in 9 years, therefore:

[tex]\sf 640=P\huge \text(1+\dfrac{0.035}{1}\huge \text)^{1\times9}[/tex]

[tex]\sf P=469.59[/tex]

The amount of money Brooklyn need to invest, for the value of the account to reach $640 in 9 years is $470

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Ravi says,” if 10 years are added to my age, then my age becomes 25.”if Ravi’s present age is x years,
then find the linear equation satisfying the given condition.

Answers

Answer:

The linear equation satisfying the given condition is,

[tex]x=t+15[/tex]

where x is Ravi's age and t is the number of years

(after 10 years (t=10) his age becomes 25)

Step-by-step explanation:

Let x be Ravi's age

Now, his  current age is unknown, but if you add 10 to it, then it becomes 25, so

x + 10 =25

so, his current age is x = 25 =10

x = 15

Now, we find the linear equation satisfying the given condition,

Let t be the number of years that have passed since the present time

so, if 0 years have passed, his age will be 15 years

after 1 year, his age will be 16 years

after 10 years, his age will be 25 years and so on

so

[tex]x = t + 15[/tex]

this satisfies the given condition, since if we add ten years i.e t = 10,

then we get 25

The equation is:

⇨ x + 10 = 25

Work/explanation:

Here's the linear equation for Ravi's age.

Ravi's age is x.

If you add 10 to x you get x + 10.

That gives 25.

So the linear equation is x + 10 = 25.

Determine whether the given differential equation is exact. If it is exact, solve it. (2 sin cos − + 2 2 2 ) − ( − sin2 − 4 2 ) = 0

Answers

To determine whether the given differential equation is exact, we need to check if it satisfies the condition:

∂M/∂y = ∂N/∂x

where M and N are the coefficients of dy and dx, respectively, in the differential equation:

(2sin(x)cos(y) − 2y^2)dy - (xsin^2(y) - 4x^2)dx = 0

Now, let's find the partial derivatives:

∂M/∂y = 2cos(x)cos(y) - 4y

∂N/∂x = -sin^2(y) - 8x

The equation is exact if ∂M/∂y = ∂N/∂x. Let's check:

2cos(x)cos(y) - 4y = -sin^2(y) - 8x

Rearranging the equation, we get:

sin^2(y) - 2cos(x)cos(y) - 8x + 4y = 0

Since ∂M/∂y = ∂N/∂x, the given differential equation is exact.

To solve the exact differential equation, we need to find a potential function φ(x, y) such that:

∂φ/∂x = M

∂φ/∂y = N

Integrating M with respect to x, we get:

φ(x, y) = ∫(2sin(x)cos(y) - 2y^2)dx

        = 2∫sin(x)cos(y)dx - 2∫y^2dx

        = -2cos(x)cos(y) - 2xy^2 + g(y)

Here, g(y) is the constant of integration with respect to x.

Next, we differentiate φ(x, y) partially with respect to y and equate it to N:

∂φ/∂y = N

-2sin(x)sin(y) - 4xy + g'(y) = -sin^2(y) - 8x

From this equation, we can equate the coefficients of the terms involving y:

-2sin(x)sin(y) - 4xy = -8x

-2sin(x)sin(y) - 4xy + 8x = 0

Comparing the coefficients, we have:

g'(y) = 0

Integrating g'(y), we obtain:

g(y) = c

Here, c is the constant of integration with respect to y.

Finally, the potential function φ(x, y) becomes:

φ(x, y) = -2cos(x)cos(y) - 2xy^2 + c

Therefore, the solution to the given exact differential equation is φ(x, y) = -2cos(x)cos(y) - 2xy^2 + c, where c is an arbitrary constant.

Fill in the blanks please

Answers

Step-by-step explanation:

the base of the pyramid has an area of b × h = 10 in × 5 in = 50 in²

a triangular face with a base of

10 inches has an area of (b×h)/2 = (10in×5.6in)/2 = 28in²

a triangular face with a base of

5 inches has an area of (b×h)/2 = (5in×7.1in)/2 = 17.75in²

the total surface is the sum of the rectangle plus the four triangles

50in² + 28in² + 28in² + 17.75in² + 17.75in² = 141.50in²

Please help me click on the pictures to see

Answers

The expression that will represent each side of the equilateral triangle shapes feild is 19x + 3.

How to derive the expression for each side of the equilateral triangle shapes feild

An equilateral triangle is a shape that all the side lengths are of equal, given that the perimeter which is the total sum of the triangle boundary as 30x + 9, then each side is derived as follows:

30x + 9 = 3(10x + 3) {by factorization}

each side of the shape = 3(10x + 3)/3

each side of the shape = 10x + 3

Therefore, the expression that will represent each side of the equilateral triangle shapes feild is 19x + 3.

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What leg is adjacent to angle A?

Answers

Adjacent sides are sides that are adjacent to a vertex (corner point) of the angle. In a right-angled triangle, the side adjacent to the angle is the side that meets the angle and forms it.

Therefore, to determine the leg adjacent to angle A, we must first determine which angle is A, then identify which side meets and creates the angle.A right-angled triangle has a right angle of 90 degrees and two legs, a and b. The hypotenuse is c. The side opposite angle A is b, and the side adjacent to angle A is a. Thus, leg a is adjacent to angle A.

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What is the function equation of the graph shown below?
YA
-12
-10
-B
Om(x)=√-2-x
O p(x)=√/2-x
O g(x)=√√/-2+

Answers

Answer:

The answer is,

[tex]p(x) = \sqrt[3]{2-x}[/tex]

Step-by-step explanation:

Pls help!!! Will give brainliest!

Answers

Answer:

6√5 - 4√7

Step-by-step explanation:

To simplify the expression 3√5 - 2√7 + √45 - √28, we can simplify each radical term and then combine like terms.

First, let's simplify the radical terms:

√5 can't be simplified further because it is already in its simplest form.

√7 can't be simplified further.

√45 can be simplified as follows:

√45 = √(9 * 5) = √9 * √5 = 3√5

√28 can be simplified as follows:

√28 = √(4 * 7) = √4 * √7 = 2√7

Now let's substitute the simplified radical terms back into the original expression:

3√5 - 2√7 + √45 - √28 = 3√5 - 2√7 + 3√5 - 2√7

Next, we can combine like terms:

3√5 + 3√5 - 2√7 - 2√7 = 6√5 - 4√7

Therefore, the simplified form of the expression 3√5 - 2√7 + √45 - √28 is:

6√5 - 4√7

Hence, the correct answer is option c. 6√5 - 4√7.

Answer:

it's the second option

Step-by-step explanation:

as you can see , its a very hard question but dont ket that trick you !! first what you do is that you put the equation in groups

1.) 3/5 : 6.70

-2/7 = 1.41670131

+/45= 8.124905243

-/28= 2.833402621

thats the answer

now what we do is fine the same equation qith the exact answer

2/2 is 2.828427125

there you go !!

hope this helps people !!

Find the perimeter of a triangle with sides measuring 5 centimeters, 9 centimeters and 11 centimeters. a. 20 cm c. 19 cm b. 25 cm d. 14 cm Please select the best answer from the choices provided A B C D

Answers

Answer:

Example 1: Find the perimeter of a triangle with sides measuring 5 centimeters, 9 centimeters and 11 centimeters. Solution: P = 5 cm + 9 cm + 11 cm = 25 cm

Step-by-step explanation:

Answer:

b. 25 cm

Step-by-step explanation:

P = all the sides added up

= 5 cm + 9 cm + 11 cm

= 25 cm

find the value of 2α+1 and 2β+1

Answers

The polynomial whose zeroes are 2α+1 and 2β+1 is determined as x² - 4x - 5 = 0.

What are the zeros of the quadratic polynomial?

The zeros of the quadratic polynomial is calculated by applying the following formula as follows;

The given polynomial function;

f(x) = x²  -  x  - 2

The zeros of the quadratic polynomial is calculated as;

let x = - 1

f(-1) = (-1)² - (-1) - 2

f(-1) = 1 + 1 - 2

f(-1) = 0

So α = - 1

Let x = 2;

f(2) = (2²) - 2 - 2

f(2) = 4 - 4

f(2) = 0

so β = 2

The value of 2α + 1 is calculated as;

2α + 1 = 2(-1) + 1 = -1

The value of 2β + 1 is calculated as;

2β + 1 = 2 (2) + 1 = 5

x = -1 or x = 5

x + 1 = 0 or x - 5 = 0

(x + 1)(x - 5) = 0

x² - 5x + x - 5 = 0

x² - 4x - 5 = 0

Thus, the polynomial whose zeroes are 2α+1 and 2β+1 is determined as x² - 4x - 5 = 0.

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With net sales of $30,000, beginning inventory at retail of $12,000, ending inventory at retail of $10,000, and cost of goods sold $15,000, what's the inventory turnover at retail rounded to the nearest hundredth?

Answers

3 thousand is the answer

Please help I am so lost thank you all

Answers

h = hours till they're 58 miles apart

Check the picture below.

so they're travelling in opposite directions, however the combined distances is 58 miles at say "h" hours, by the time that happend Hopi has been walking "h" hours and Brittany has also being walking "h" hours too.

Since the combined distance is 58 miles than if Hopi has covered "m" miles then Brittany covered the slack of "58 - m".

[tex]{\Large \begin{array}{llll} \underset{distance}{d}=\underset{rate}{r} \stackrel{time}{t} \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ Hopi&m&15&h\\ Brittany&58-m&14&h \end{array}\hspace{5em} \begin{cases} m=(15)(h)\\\\ 58-m=(14)(h) \end{cases} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{\textit{substituting on the 2nd equation}}{58-(\stackrel{m}{15h})=14h}\implies 58=29h\implies \cfrac{58}{29}=h\implies \boxed{2=h}[/tex]

One rectangle is "framed" within another. Find the area of the shaded region if the "frame" is 1 unit wide. 5 7

Answers

The area of the Shaded region, when the frame is 1 unit wide, is 20 square units.

The area of the shaded region when one rectangle is framed within another and the frame has a width of 1 unit, we need to calculate the difference between the areas of the outer rectangle and the inner rectangle.

the dimensions of the outer rectangle as length and width, and the dimensions of the inner rectangle as length' and width'. Based on the information provided, the length and width of the outer rectangle are 5 and 7 units, respectively.

The dimensions of the inner rectangle can be found by subtracting twice the width of the frame (1 unit) from the dimensions of the outer rectangle:

Length' = length - 2 * frame width = 5 - 2 * 1 = 3 units

Width' = width - 2 * frame width = 7 - 2 * 1 = 5 units

Now we can calculate the areas of the outer and inner rectangles:

Area of the outer rectangle = length * width = 5 * 7 = 35 square units

Area of the inner rectangle = length' * width' = 3 * 5 = 15 square units

Finally, to find the area of the shaded region, we subtract the area of the inner rectangle from the area of the outer rectangle:

Area of shaded region = Area of outer rectangle - Area of inner rectangle = 35 - 15 = 20 square units

Therefore, the area of the shaded region, when the frame is 1 unit wide, is 20 square units.

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3. Two dice are to be rolled. The sample space consists of the 36 outcomes listed below. Note that a 2, 3 is different from a 3, 2. The first number is what is rolled on the Red die and the second number is what is rolled on the Green.



a) If we decide to use the equally likely outcome probability model, what would the probability of each outcome be? Use 4-decimal places for your answer. You can always use more but never less.

Answers

The probability of each outcome would be 1/36.

Using 4 decimal places, the probability of each outcome in the equally likely outcome probability model would be 0.0278.

To calculate the probability of each outcome in the sample space when using the equally likely outcome probability model, we need to determine the total number of outcomes and then divide each outcome by the total.

Given that two dice are being rolled, there are 6 possible outcomes for each die, resulting in a total of 6 * 6 = 36 outcomes in the sample space.

To find the probability of each outcome, we divide 1 by the total number of outcomes (36).

Therefore, the probability of each outcome would be 1/36.

Using 4 decimal places, the probability of each outcome in the equally likely outcome probability model would be 0.0278.

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50 POINTS HELP WITH MY MATH PLEASE

Answers

The rational function for this problem is defined as follows:

y = (4x + 13)/(x + 3).

What are the asymptotes of a function f(x)?

The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.

The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.

The function has a vertical asymptote at x = -3, hence the denominator is given as follows:

x + 3.

The function has an horizontal asymptote at y = 4, with an intercept of 4.3, hence the numerator is given as follows:

4x + 13.

Thus the function is:

y = (4x + 13)/(x + 3).

Missing Information

The problem asks for the function rule.

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first four terms of the sequence an=-221+200n

Answers

The first four terms of the sequence defined by the formula an = -221 + 200n are: -21, 179, 379, and 579.

To find the first four terms of the sequence defined by the formula an = -221 + 200n, we can substitute the values of n from 1 to 4 into the formula and evaluate the expression.

When n = 1:

a1 = -221 + 200(1)

a1 = -221 + 200

a1 = -21

So, the first term of the sequence is -21.

When n = 2:

a2 = -221 + 200(2)

a2 = -221 + 400

a2 = 179

The second term of the sequence is 179.

When n = 3:

a3 = -221 + 200(3)

a3 = -221 + 600

a3 = 379

The third term of the sequence is 379.

When n = 4:

a4 = -221 + 200(4)

a4 = -221 + 800

a4 = 579

The fourth term of the sequence is 579.

Therefore, the first four terms of the sequence defined by the formula an = -221 + 200n are: -21, 179, 379, and 579.

Each term in the sequence is obtained by substituting the corresponding value of n into the formula and evaluating the expression. As n increases, the terms of the sequence increase by 200 each time.

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