Can someone please help me with this

Can Someone Please Help Me With This

Answers

Answer 1

hmmm proofs like these can be a bit circular kinda, let's do some rigamarole on the equations and we'll see if that works for a definition

[tex]\stackrel{\theta \textit{ is always in radian unit}~\hfill }{s=r\theta\implies \cfrac{s}{\theta }=r \hspace{5em}v=\cfrac{s}{t}\implies t=\cfrac{s}{v}\hspace{5em}\omega=\frac{\theta }{t}} \\\\[-0.35em] ~\dotfill\\\\ \omega=\cfrac{\theta }{t}\implies \omega=\cfrac{\theta }{~~ \frac{ s}{v } ~~}\implies \omega=\cfrac{\theta }{1}\cdot \cfrac{v}{s}\implies \omega=\cfrac{\theta v}{s}\implies s\omega=\theta v \\\\\\ \cfrac{s\omega}{\theta }=v\implies \cfrac{s}{\theta }\cdot \omega=v\implies \boxed{r\cdot \omega=v}[/tex]


Related Questions

Given a rope 10 units in length, if side lengths must be in whole units, how many different triangles can be made?​

Answers

A per the measurement, there is only form exactly 1 unique triangle.

The term triangle in math is known as a two-dimensional shape with three sides, three interior angles, and three vertices.

Here we have know that a rope 10 units in length, if side lengths must be in whole units.

And we need to find the number of different triangles can be made.

Here we know that length is 10 units, and the side length are whole units.

Which means that here we have 3 distinct value.

So as we all know that all of the triangles you make are the same triangle. Which means that if your three side lengths can form a triangle, then they can only form exactly 1 unique triangle.

To know more about triangle here.

https://brainly.com/question/8587906

#SPJ4

2. Consider this excerpt from chapter 39: "Something is discomforting about a sun that gives no

heat but keeps shining. " In this comparison, who is the sun?

O The tour guide

Maxine

Jade's mother

The symphony members

Answers

Jade's mother is the sun of Jade because she motivated Jade against race and gender, class and privilege, and fear and courage. Something is discomforting about a sun that gives no heat but keeps shining. " In this comparison, Jade's mother is the sun. So the option 3 is correct.

While expressing the complicated emotions of an aspirational, devoted girl, Jade's narrative voice offers riveting insights on the intricacies of race and gender, class and privilege, and fear and courage. Watson's story, which brims with empathy and wisdom, extols the ability of creative expression to reimagine and transform the world.

The many individuals who find themselves in the world looking for themselves are addressed in Watson's exquisitely written book. Piecing Me Together is a novel about how young people deal with the struggles and pain of daily life while remaining entire and true to themselves. It is both timely and timeless.

The reason why Jade's mother is said to as the sun of Jade is because she inspired Jade to overcome prejudices related to class, privilege, and fear.

To learn more about book "Piecing Me Together" link is here

brainly.com/question/28836000

#SPJ4

The complete question is:

Consider this excerpt from chapter 39:

Something is discomforting about a sun that gives no heat but keeps shining. " In this comparison, who is the sun?

1. The tour guide

2. Maxine

3. Jade's mother

4. The symphony members

What is the solution of the system of equations
Y=1/8x-1
-5x+4y= - 13

Answers

Answer:

(2.57, -0.07)

Step-by-step explanation:

To solve the system of equations, we can substitute the expression for y in the second equation:

-5x + 4(1/8x - 1) = -13

We can then simplify and solve for x:

-5x + (1/2)x - 4 = -13

-3.5x = -9

x = 2.57

We can then substitute this value of x back into the first equation to find the value of y:

y = 1/8(2.57) - 1

y = -0.07

So the solution of the system of equations is (x, y) = (2.57, -0.07)

Francine had six times the money Tommy had, but after Francine gave Tommy $33 to help him purchase a baseball cap, Tommy had twice as much as Francine. How much did they each start with?

Answers

For the relation of times of money , Francine and Tommy start with the amount of money equals to $18 and $3 respectively.

Let 'x' represents the amount of money with Francine .

And 'y' represents the amount of money with Tommy.

In the first condition:

x = 6y __(1)

To purchase baseball cap Francine gave $33 then the given relation is :

y - 33 = 2( x - 33 )

⇒ y - 33 = 2x - 66

⇒y = 2x -66 + 33

⇒ y = 2x -33 __(2)

Substitute the value of 'x' from (1) in (2) we get,

y = 2(6y) - 33

⇒y = 12y - 33

⇒ 12y - y = 33

⇒ 11y = 33

⇒ y = $3

⇒ x = 6(3)

⇒ x = $18

Therefore, the amount of money Francine and Tommy start with is equal to $18 and $3 respectively.

Learn more about money here

brainly.com/question/29452742

#SPJ4

relative frequency distributions are generally more useful than frequency distributions when

Answers

Relative frequency distributions are generally more useful than frequency distributions when comparing data sets of different sizes.

Frequency distributions can show the actual number of observations falling in each range or the percentage of observations. In the latter sample, the distribution is called a relative frequency distribution.

Frequency distribution tables can be utilised for both categorical and numeric variables. Continuous variables should only be used with class intervals, which will be described shortly.

A relative frequency distribution displays the proportion of the total number of observations associated with each value or class of values and is related to a probability distribution, which is extensively used in statistics.

--This question is incomplete; the complete question is

"Relative frequency distributions are generally more useful than frequency distributions when _____."--

To know more about Relative frequency distributions, here

https://brainly.com/question/28341501

#SPJ4

The length of the minute hand of a clock i 6cm. Find the area wept by it when it move from 7:05 p.m. to 7:40 p.m.

Answers

Area swept by minute hand of a clock is 66cm².

Given that length of the minute hand of clock is 6cm.

We know that, total angle covered by the minute hand of clock is 360° in 60 minutes.

Total time interval = 7:45 PM – 7:05 PM = 35 minutes

In 60 minutes 360° angle covered

Then, in 1 minute 360/60 angle covered

So, in 35 minutes

total angle covered = 360/60 * 35 = 210°

Total area covered = sectional area of circle with radius 6cm

Total area covered = Ф/360 * πr²

= 210/360 * 22/7 * 6² = 66 cm²

Therefore, total area swept by minute hand of a clock is 66cm².

To learn more about circle visit: https://brainly.com/question/12315056

#SPJ4

Simplify this to help me out

Answers

When we simplify the expression (4x⁴y⁵ / 3xy²)⁵, the result obtained is 1024x¹⁵y¹⁵ / 243

How do I simplify (4x⁴y⁵ / 3xy²)⁵?

To simplify the expression (4x⁴y⁵ / 3xy²)⁵, the laws of indices must be applied as illustrated below:

(4x⁴y⁵ / 3xy²)⁵

Recall

(Aᵐ)ⁿ = Aᵐⁿ

Thus,

(4x⁴y⁵ / 3xy²)⁵ = 1024x²⁰y²⁵ / 243x⁵y¹⁰

Recall

Aᵐ / Aⁿ = Aᵐ⁻ⁿ

Thus,

1024x²⁰y²⁵ / 243x⁵y¹⁰ = (1024 / 243)x²⁰⁻⁵y²⁵⁻¹⁰

1024x²⁰y²⁵ / 243x⁵y¹⁰ = (1024 / 243)x¹⁵y¹⁵

1024x²⁰y²⁵ / 243x⁵y¹⁰ = 1024x¹⁵y¹⁵ / 243

Therefore,

(4x⁴y⁵ / 3xy²)⁵ = 1024x¹⁵y¹⁵ / 243

From the above illustration, we can conclude that the simplified form of (4x⁴y⁵ / 3xy²)⁵ is 1024x¹⁵y¹⁵ / 243

Learn more about simplification of indice:

https://brainly.com/question/170984

#SPJ1

Which even number is not a composite number?
A) 6
B) 4
C) 2
D) 8

Answers

ithe answer will be a
kills ksksmslsls
im positive the answer is A6

Tell whether the two rates form a proportion.

-0. 4 kilometer for every 15 minutes

-0. 6 kilometer for every 20 minutes

Answers

As the value of the ratio of both the quantities are NOT same so the given values .

No, The two rates not form a proportion.

Now, According to the question:

Two ratios are equivalent, if the fractions corresponding to them are equivalent. Four quantities are said to be in proportion, if the ratio of the first and the second quantities is equal to the ratio of the third and the fourth quantities.

A proportion is an equation that sets two ratios at the same value. For instance, you might express the ratio as follows:

1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls) There are 1 in 4 boys and 3 in 4 girls. 0.25 are male (by dividing 1 by 4)

Now,

0. 4 kilometer for every 15 minutes equals to (0.4/15) = 0.026

So for every minute they travel 0.026km.

0. 6 kilometer for every 20 minutes equals (0.6/20) =  0.03

So for every minute they travel 0.03km.

Here, as the value of the ratio of both the quantities are NOT same so the given values .

Learn more about Proportion at:

https://brainly.com/question/3560818

#SPJ4

fred has ten feet of wire.he decides to cut it into equal length pieces. how many pieces will he get if each piece is 4 feet long?

Answers

Answer:

I don't know

Step-by-step explanation:

Multiple. Write your answer as a fraction or as a whole or mixed number.
3/4 x 8

Answers

Answer:

6

Step-by-step explanation:

3/4 x 8 = 3 x 8 / 4 x 1 = 24/4 = 6

Joseph took a taxi from his house to the airport. The taxi company charged a pick-up

fee of $3. 10 plus $2 per mile. The total fare was $21. 10, not including the tip. Write

and solve an equation which can be used to determine m, the number of miles in the

taxi ride.

Answers

The equation is 2m + 3.10 = 21.10

And, the number of miles in the taxi ride is m = 9.

Now, According to the question:

Joseph took a taxi from his house to the airport. The taxi company charged a pick-up fee $3.10 plus $2 per mile. The total fare was $21.10.

Now,

The equation is written as,

2m + 3.10 = 21.10

Subtract 3.10 from both sides

2m = 18

Divide 2 from both sides

m = 9

Hence, The equation is 2m + 3.10 = 21.10

And, the number of miles in the taxi ride is m = 9.

Learn more about Equation at;

https://brainly.com/question/10413253

#SPJ4

i dont understand this

Answers

The given expression has sin A = BC/AC=36/85, cos A = AB/AC=77/85, tan A = BC/AB=36/77

How to find sin cos tan?

In trigonometry, the values of sin, cos, and tan are the main functions we consider when solving trigonometric problems. Using these trigonometric values, the angles and sides of a right-angle triangle are calculated. In addition to sine, cosine, and tangent values, the other three significant values are cotangent, secant, and cosecant.

Normally, when calculating the sin, cos, and tan values for a triangle, the angles of 0°, 30°, 45°, 60°, and 90° are taken into consideration. These specific angles' values are easy to remember. What the trigonometric values are all about is knowing the standard angles for a specific triangle according to the trigonometric ratios (sine, cosine, tangent, cotangent, secant and cosecant).

We have, AB = 77 , BC = 36.and CA=85

When we consider the t-ratios of ∠A, we have

Base = AB = 77, Perpendicular = BC = 36, Hypotenuse = AC =85.

∴sin A = BC/AC=36/85 , cos A = AB/AC=77/85 , tan A = BC/AB=36/77

To learn more about trigonometric functions refers to;

brainly.com/question/11794054

#SPJ1

Jason is closing on a $430,000 home. He made a 13% down payment and is borrowing the rest. What is the approximate range of costs that he might expect to pay at the closing?

Answers

Answer:

$8,600 - $31,100

Step-by-step explanation:

Hope this helps :)

a cell phone company has three different production sites. five percent of the phones from site 1, 7% from site 2, and 9% from site 3 have been recalled due to unexpected shutdown issue. suppose that 60% of the phones are produced at site 1, 30% at site 2, and 10% at site 3. if a randomly selected cell phone has been recalled, what is the probability that it came from site 3 (write it up to second decimal place)?

Answers

So, the probability that a randomly selected cell phone that has been recalled came from site 3 is 2.5 or 25%.

We can use Bayes' theorem to calculate the probability that a phone that has been recalled came from site 3. Bayes' theorem states that:

P(A|B) = P(B|A) * P(A) / P(B)

where:

P(A|B) is the probability of event A occurring given that event B has occurred (in this case, the probability that a phone came from site 3 given that it has been recalled)

P(B|A) is the probability of event B occurring given that event A has occurred (in this case, the probability that a phone has been recalled given that it came from site 3)

P(A) is the prior probability of event A occurring (in this case, the probability that a phone came from site 3)

P(B) is the prior probability of event B occurring (in this case, the probability that a phone has been recalled)

So, in this case, we have:

P(site 3 | recalled) = P(recalled | site 3) * P(site 3) / P(recalled)

We know that:

P(recalled | site 3) = 9%,

P(site 3) = 10%

We also know that:

P(recalled) = P(recalled | site 1) * P(site 1) + P(recalled | site 2) * P(site 2) + P(recalled | site 3) * P(site 3)

= (5% * 60%) + (7% * 30%) + (9% * 10%) = 3% + 2.1% + 0.9% = 6%

So, we can now calculate the probability that a phone that has been recalled came from site 3 as:

P(site 3 | recalled) = (9% * 10%) / 6% = 0.15 / 0.06 = 2.5

So the probability that a randomly selected cell phone that has been recalled came from site 3 is 2.5 or 25%.

To learn more about Bayes' theorem

Visit; brainly.com/question/28525447

#SPJ4

Find the smallest pair of 4-digit numbers such that the difference between them is 303 and their HCF is 101. Show your steps.


Please give answer immediately

Answers

Based on the information provided, the two numbers whose HCF is 101 are 1010 and 1313.

What is the HCF?

The HCF is the highest common factor or in other words, the highest number by which two numbers can be divided. Let's start by listing the four digits numbers that can be the HCF related to 101.

101 x 10 = 1010

101 x 11 = 1111

101 x 12 = 1212

101 x 13 = 1313

Now, from these numbers, there are two numbers whose difference is 303.

1313 - 1010 = 303

Based on this, the two numbers are 1010 and 1313

Learn more about the HCF in https://brainly.com/question/29114178

#SPJ1

the roof of a clock tower is a pentagon pyramid. each side of the base is 7ft long. the slant is 9. what is the area of the roof

Answers

The area of the roof is 157.5 .

It is given that the roof of a clock tower is a pentagonal pyramid.

Each side of the base is 7 ft long.

The slant height is 9 ft.

we know that, to find area we have,

Area=1/2 × 7 × 9 × 5

= 315/2

= 157.5

Hence, 157.5 square feet is the area of the roof.

Pentagonal pyramid

A pentagonal pyramid is a pyramid with a pentagonal base upon which are erected five triangular faces that meet at a point.

It is a three  dimensional figure, it is a solid figure or an object or shape that has three dimensions—length, width, and height.

Learn more about pentagon here :-

https://brainly.com/question/17054992

#SPJ4

A recipe states that chicken needs to be cooked for 15 minutes per kg plus an extra 40 minutes. Express the relationship between mass and cooking time using function notation, and define the domain and range.

Answers

For the given statement, the domain and range are - Domain : x ,Range : f(x)  40.

What does a notation in mathematics mean?

In mathematical notation, symbols are used in expressions and formulas to represent operations, unnamed numbers, relations, and any other mathematical objects. In mathematics, science, and engineering, mathematical notation is frequently used to communicate complicated ideas and properties in a clear, unambiguous manner.

A notation is a set of clear guidelines for using symbols to describe numbers and actions.

The sum of numerous linked terms is frequently represented by the sign (capital sigma) in shorthand notation. In statistics, sigma notation is frequently employed.

For each dividend number, the extended notation division method merely repeats the division, multiplication, and subtraction operations.

Given data :

x is the mass of the chicken (in kg)

f(x) : the cooking time ( in minutes )

Domain : x

Range : f(x)  40

f(x) = 15x + 40 - 15 minutes per kg (x) plus 40 more minutes

f (1) = 15 x 1 + 40 = 55

A 1 kg chicken needs 15 min + 40 min = 55 min

f (2) = 15 x 2 + 40 = 70

A 2 kg chicken needs 30min + 40 min = 70 min

Learn more about notation refer to :

brainly.com/question/25638609

#SPJ1

Willow is driving on the freeway. She just passed mile marker 325. The fastest she will drive is 75 miles per hour, though, there is a bit of traffic that might slow her down a bit, but she doesn’t know exactly how much. The mile markers are increasing on her route.


The expression 325 + 2y represents what mile marker she’s at after 2 hours, depending on traffic. Which inequality describes the mile marker she would be at this point?

Answers

The inequality describes the mile marker she would be at this point is:

325 + 2y ≤ 475

Now, According to the question:

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

We have,

The fastest driving speed of Willow is 75 miles per hour,

There is a bit of traffic on her route that might slow her speed down,

So, the inequality which represents the speed of the willow is:

y ≤ 75

Hence, the inequality which represents the speed of the driving of willow is y ≤ 75.

Now, the expression 361 + 2y represents what mile marker he is at after 2 hours. We know that the fastest he will drive is 75, so we could replace y=75 in the last expression to know what mile marker he would be seeing at that point. This is:

325 + 2(75) => 325 + 150 = 475

Now, we know that the inequality would be:

325 + 2y ≤ 475

Learn more about Inequality at:

https://brainly.com/question/30231190

#SPJ4

Shirley can choose between peanut butter pretzels and caramel coated popcorn for her evening snack. According to economists, her _____ cost of consuming caramel coated popcorn would be the forgone peanut butter pretzels. Group of answer choices internal opportunity average transaction social

Answers

According to economists, her opportunity cost of consuming caramel-coated popcorn would be the forgone peanut butter pretzels.

Opportunity costs are the possible advantages that a person, investor, or company forgoes while deciding between two options. Opportunity costs are by definition invisible, making it simple to ignore them.

Better choices can be made by being aware of the opportunities that might be lost when a company or person chooses one investment over another. It is necessary to weigh the advantages and disadvantages of each choice offered in order to correctly assess opportunity costs.

To learn more about opportunity cost, visit the link below:

brainly.com/question/13036997

#SPJ4

Find the lateral area, and surface area of the figure.


Round your answers to the nearest thousandth, if necessary

Answers

Lateral Area = 108 square km

Surface Area = 120 square km

Think of the triangles as the floor and ceiling of this 3D room. The walls are three rectangular sides.

We have a 9 by 4 wall with an area of 9*4 = 36 square km

We have a 9 by 3 wall with an area of 9*3 = 27 square km

We have a 9 by 5 wall with an area of 9*5 = 45 square km

The lateral area is 36+27+45 = 108

The two triangles form the base faces of this prism.

Let's find the area of one of the triangles

area=0.5*base*height = 0.5*3*4 =6

One triangle has an area of 6, so both triangles in total have an area of 2*6 = 12 square km.

The total surface area is therefore 108+12 = 120 square km.

To know more about the lateral area:

https://brainly.com/question/16555124

#SPJ4

Help please!!! (3x² - 4xy + y²)(4x + 3y)

Answers

The simplified form of the expression (3x² - 4xy + y²)(4x + 3y) is 12x³ - 7x²y + 8xy²  + 3y³.

What is the simplified form of the expression?

Given the expression in the question;

(3x² - 4xy + y²)(4x + 3y)

To simplify, apply distributive property by multiplying each term in the first expression by each term in the second expression.

(4x + 3y)(3x² - 4xy + y²)

4x (3x² - 4xy + y²) + 3y(3x² - 4xy + y²)

3x² × 4x - 4xy × 4x  + y² × 4x  + 3x² × 3y - 4xy × 3y  + y² × 3y

12x³ - 16x²y + 4xy²  + 9x²y - 12xy²  + 3y³

Collect like terms

12x³ - 16x²y + 9x²y + 4xy²  - 12xy²  + 3y³

Add -16x²y and 9x²y

12x³ - 7x²y + 4xy² - 12xy²  + 3y³

Add 4xy²  and -12xy²

12x³ - 7x²y + 8xy²  + 3y³

Therefore, the simplified form is 12x³ - 7x²y + 8xy²  + 3y³.

Learn about distributive property here : brainly.com/question/13130806

#SPJ1

Solve for kkk.

20-6+4k=2-2k20−6+4k=2−2k20, minus, 6, plus, 4, k, equals, 2, minus, 2, k

k =k=k, equals

Answers

The value of k is -2

Now, According to the question:

The given equation is:

20 - 6 + 4k = 2 - 2k

We have to solve for the value of k.

Now,

20 - 6 + 4k = 2 - 2k

Combine the like terms;

20 - 6 - 2 = -2k - 4k

Calculate the sum or difference:

20 - 8 = -6k

12 = -6k

Calculate the product or quotient:

k = -12/6

k = -2

Hence, The value of k is -2

Learn more about Equation at:

https://brainly.com/question/24379564

#SPJ4

Given the following data, fill out the table for V* n and V/n
(give your answers to 3 sig figs).

Answers

The table for V* n and V/n shows the various answers as

What is multiplication and Division?

Multiplication is when you take one number and add it together a number of times.

The table appears as follows

Volume(V)       Moles(n)          V*n               V/n

3                       0.145              0.435           20.7

4                        0.193             0.773            20.7

5                        0.242            1.210             20.7

6                       0.290             1.740             20.7

These figures are gotten by the multiplication and division of the numbers in the tables as given by the formulae

Learn more about multiplication and division of numbers on https://brainly.com/question/27840705

#SPJ1

A chef made a blend of cooking oil. 1/5 of his mix was olive oil and 4/5 was corn oil. Write this blend as a ratio of corn oil to olive oil

Answers

1 :1 is the blend as a ratio of corn oil to olive oil.

Now, According to the question:

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls)

"Information available from the question"

A chef made a blend of cooking oil.

1/5 of his mix was olive oil

and 4/5 was corn oil.

To find the blend as a ratio of corn oil to olive oil.

Now, Blend Ratio will be:

olive ratio + corn ratio

1/5 + 4/5

= 5/5 = 1/1

Hence, 1:1 is the blend as a ratio of corn oil to olive oil.

Learn more about Ratio at:

https://brainly.com/question/13419413

#SPJ4

Ayúdenme a encontrar el valor de los ángulos la medida de A) es 48 grados y E) es 136 grados y con eso encuentra los valores de los demás

Answers

eeeeeAnswer:

Step-by-step explanation:

se que g=136 t=48 los demás no los se

:)))))))))))))))))))))))))))))

Answers

The answer is 226.19
V= 3.14x2^2x18
The volume is found using Base X height. I dont have a calculator so you can finish it but the base is (pi X 4) then multiply it by 18 to find the volume as ft^3

what is the smallest even consecutive number such that their sum is at most 90?


SOLVE PLEASE

Answers

To find the smallest even consecutive numbers whose sum is at most 90, we can start with the smallest even number, which is 2. Then, we can add 2 to it to get the next even number, which is 4. We can keep adding 2 to get the next even numbers, and keep track of their sum. We can stop as soon as the sum exceeds 90.

The smallest even consecutive numbers whose sum is at most 90 are 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90

The first 20 even consecutive numbers sum 90.

Please help with this problem!!!

Answers

At 11.5 hours, the red turtle pass the blue turtle. The red turtle won the race. The solution has been obtained by studying graph of the functions.

What is graph of the function?

The collection of all points in the plane with the form (x, f(x)) that make up a function f's graph. The graph of f is also known as the graph of

y = f(x).

In the graph, it is seen that from 6 to 13 hours, the blue turtle is at the same place whereas the red turtle is moving.

Therefore, at 11.5 hours the red turtle passes the blue turtle.

The red turtle won the race in 16 hours because in the graph it is observed that the blue turtle did not complete the entire km. The graph of blue turtle is a little less than that of red turtle.

Hence, at 11.5 hours, the red turtle pass the blue turtle and wins the race.

Learn more about graph of function from the given link

https://brainly.com/question/24335034

#SPJ1

Since there are multiple questions, so the question answered above is attached below.

All sides of a lawn are expanded by the same amount so that it’s dimension are now 100 feet by 60 feet. If x is the same amount of length added to each side, write a function of x giving the length of each of the original sides. Use these functions to make a function for the area of the original lawn.

Answers

The function of x giving the length of each of the original sides would be  [tex](x + 100) * (x + 60) = x^2 + 160x + 6000[/tex].

What is Function of x?

A function is a formula that expresses one variable in terms of another. The statement "y is a function of x" (denoted y = y(x)) states that y changes depending on the value of x.

The original length of each side of the lawn can be represented by the function x + 100, and the original width can be represented by the function x + 60.

To find the area of the original lawn, we can multiply the length and width functions.

So, the function for the area of the original lawn is:

         [tex](x + 100) * (x + 60) = x^2 + 160x + 6000[/tex]

This is a quadratic function in x, whose leading coefficient is 1, and the value of x is the same amount of length added to each side of the lawn.

Hence, The function of x giving the length of each of the original sides would be  [tex](x + 100) * (x + 60) = x^2 + 160x + 6000[/tex].

To know more about Function of x visit,

https://brainly.com/question/17043948

#SPJ1

Other Questions
which of the following describes a context that most influenced the implementation of the government policy discussed in the excerpt? responses many americans desired the united states to expand its western land claims. many americans desired the united states to expand its western land claims. many americans asserted the separation of public and private spheres. many americans asserted the separation of public and private spheres. some americans were influenced by european literary and cultural models. some americans were influenced by european literary and cultural models. some americans began to oppose the spread of slavery. What does Adam Smith argue in "The Wealth of Nations"? Briefly describe one significant difference between Bartolome and Francisco understanding of the effects of Spanish colonization on the lives of native Americans PUT THIS IN YOUR OWN WORDSSSSSIMPLE!50 POINTSS!Historians have generally agreed that the Marshall Plan contributed to reviving the Western European economies by controlling inflation, reviving trade and restoring production. It also helped rebuild infrastructure through the local currency counterpart funds. yler Tooling Company uses a job order cost system with overhead applied to products on the basis of machine hours. For the upcoming year, the company estimated its total manufacturing overhead cost at $420,000 and total machine hours at 60,000. During the first month of operations, the company worked on three jobs and recorded the following actual direct materials cost, direct labor cost, and machine hours for each job: Job 101 Job 102 Job 103 Total Direct materials used $ 19,200 $ 14,400 $ 9,600 $ 43,200 Direct labor $ 28,800 $ 11,200 $ 9,600 $ 49,600 Machine hours 1,000 hours 4,000 hours 2,000 hours 7,000 hours Job 101 was completed and sold for $60,000. Job 102 was completed but not sold. Job 103 is still in process. Actual overhead costs recorded during the first month of operations totaled $45,000. Required: 1. Calculate the predetermined overhead rate. 2. Compute the total manufacturing overhead applied to the Work in Process Inventory account during the first month of operations. 3. Compute the balance in the Work in Process Inventory account at the end of the first month. 4. How much gross profit would the company report during the first month of operations before making an adjustment or over- or underapplied manufacturing overhead? 5-a. Determine the balance in the manufacturing overhead account at the end of the first month. Read the passage below. Then answer the question that follows using information and evidence from the text.May 28, 1830Chapter CXLVIIIAn Act to provide for an exchange of lands with the Indians residing in any of the states or territories, and for their removal west of the river Mississippi.Be it enacted by the Senate and House of Representatives of the United States of America, in Congress assembled, That it shall and may be lawful for the President of the United States to cause so much of any territory belonging to the United States, west of the river Mississippi, not included in any state or organized territory, and to which the Indian title has been extinguished, as he may judge necessary, to be divided into a suitable number of districts, for the reception of such tribes or nations of Indians as may choose to exchange the lands where they now reside, and remove there; and to cause each of said districts to be so described by natural or artificial marks, as to be easily distinguished from every other ...What were the effects of this act on United States history? (5 points)a-Native Americans were forced from their traditional lands onto reservations.b-Native Americans agreed to buy land west of the Mississippi River.c-White settlers and Native Americans agreed to move west of the Mississippi River.d-White settlers paid Native Americans for their traditional lands. 04.04 Organize Your Argument: Argumentative Writing Planner (50 points)Prompt (choose one): Prompt #2 - Hard Work vs. TalentClaim: 1st Body Paragraph First Reason for Position: Evidence: Connection to Claim/Reason: Evidence: Connection to Claim/Reason: Source(s):2nd Body Paragraph Second Reason for Position: Evidence: Connection to Claim/Reason: Evidence: Connection to Claim/Reason: Source(s):3rd Body Paragraph Counterclaim: Evidence: Evidence: Reason Why You Disagree: Source(s): Find the slope of a line perpendicular to the line whose equation is 4x - 3y = -3.Fully simplify your answer. if the earth were of uniform density, what would be the value of g inside the earth at half its radius? (the value of g at the surface of earth is 9.8 m/s2 .) select all that apply 1. 4.9 m/s2 2. 9.8 m/s2 3. 39.2 m/s2 e4. 19.6 m/s There are 25 pieces of candy in a bowl, and 15 of them are chocolate. What percentage of pieces of candy in the bowl are chocolate? if PQ+PR=72 cm, then what is the value of sinR? (look at the file) What number line models the expression 1/8-(-3/4) javascript when the user enters 3 numbers and clicks the button, the average of the 3 numbers should appear on the page. Plants are classified based on the presence of a certain specialized tissue. a specialized tissue called_____tissue helps transport_____and water to all parts of the plant. the anticholinesterase medication pyridostigmine is prescribed for the client with myasthenia gravis. when providing medication teaching, the nurse explains that the client should expect a decrease in which function? which rider, when attached to a permanent life insurance policy, provides an amount of insurance on every family member? what is the purpose of a return statement in a function? Find x please help asap This is our formula: everything in the state, nothing outside of the state, nothing against the state. Benito Mussolini, 1925 What message is Mussolini communicating in this quotation? fill in the blank: resources in a design system contain helpful tools like to help designers build designs quickly and learn how to use elements effectively.