1+1+100000000000000000000 times 64444444444444444444444444

Polynomials form a system like to that of integers hence they are closed under the operations of addition and subtraction.

Exponents of polynomials are whole numbers.

Hence the resultant exponents will be whole numbers , addition is closed for whole numbers. As a result, polynomials are closed under addition.

If an operation results in the production of another polynomial, the resulting polynomials will be closed.

The outcome of subtracting two polynomials is a polynomial. They are also closed under subtraction as a result.

The word polynomial is a Greek word. We can refer to a polynomial as having many terms because poly means many and nominal means terms. This article will teach us about polynomial expressions, polynomial types, polynomial degrees, and polynomial properties.

To learn more about polynomials

brainly.com/question/27287760

#SPJ4

Answer:

D.

Step-by-step explanation:

If she connects it to any other point the angle would be more then 30 degrees.

Answer:

65 mph

Step-by-step explanation:
To calculate the average speed of Niamh's car, we need to use the formula:

Average speed = Total distance ÷ Total time

First, we need to calculate the total time elapsed from 17:30 to 19:42:

Total time = 19:42 - 17:30 = 2 hours and 12 minutes

To convert the minutes to decimal form, we divide by 60:

2 hours and 12 minutes = 2 + (12 ÷ 60) = 2.2 hours

Now we can calculate the average speed:

Average speed = Total distance ÷ Total time

Average speed = 143 miles ÷ 2.2 hours

Average speed = 65 mph

Therefore, the average speed of Niamh's car from 17:30 to 19:42 was 65 mph.

Therefore, Two slices of bacon had 96 less calories than three slices of roasted turkey.

a formula that illustrates the connection between two expressions on either side of a sign. It usually only has one variable and an equal sign. like this: 2x – 4 = 2.

Here,

One piece of bacon has 42 calories in it.

There are 60 calories in 1 slice of turkey.

2 slices of bacon are 2 calories each (42)

So 84 calories in 2 slice of bacon

3 slices of roasted turkey have 3 calories each slice (60)

Three slices of roasted turkey have 180 calories each.

180-84 is the difference in the amount of calories.

96 calories are added due to the calorie difference.

Two slices of bacon had 96 less calories than three slices of roasted turkey.

To know more about equation , visit

https://brainly.com/question/10413253

#SPJ4

Answer:

2600

Step-by-step explanation:

2314 ÷ 89% = 2600

2314 is 89% of 2600.

The scalar line integral ∫ c (3x y) ds, where c is the line segment from (−1,3) to (4,2) is equal to 78√26/5

To evaluate the scalar line integral ∫ c (3x y) ds, where c is the line segment from (−1,3) to (4,2), we first need to parameterize the curve c.

Let t be the parameter such that

x = -1 + 5t,

y = 3 - t,

for 0 ≤ t ≤ 1.

The length of the curve c is given by the integral ∫ c ds, which can be calculated using the formula ∫ a to b \(√(dx/dt)^2 + (dy/dt)^2\) dt. Plugging in the values from the parameterization, we get

\(∫ c ds = ∫ 0 to 1 √(5^2 + (-1)^2) dt = ∫ 0 to 1 √26 dt = √26.\)

Using the parameterization, we can now write the integral as

\(∫ c (3x y) ds = ∫ 0 to 1 (3(-1+5t)(3-t)) √(5^2 + (-1)^2) dt = 78√26/5.\)

Therefore, the scalar line integral ∫ c (3x y) ds, where c is the line segment from (−1,3) to (4,2) is equal to 78√26/5.

Learn more about the scalar line integral

https://brainly.com/question/31392715

#SPJ4

The scalar line integral ∫ c (3x y) ds, where c is the line segment from (−1,3) to (4,2), is approximately equal to

22.229.

We can do this by letting x = t and y = 3 - t/2, where -1 ≤ t ≤ 4.

Then, we can find ds/dt using the formula \(ds/dt = \sqrt{(dx/dt^2 + dy/dt^2)}\), which simplifies to

\(ds/dt = \sqrt{(1 + 1/4) } = \sqrt{(5)/2} .\)

Next, we can substitute x and y in terms of t into the integrand and simplify to get:

\(3x y = 3t(3 - t/2) = 9t - (3/2)t^2\)

Now, we can evaluate the integral by integrating with respect to t from -1 to 4:

\(\int c (3x y) ds = ∫ from -1 to 4 (9t - (3/2)t^2) (\sqrt{(5)/2)}  dt\)

\(= (\sqrt{(5)/2)}  [ (9t^2/2) - (3/8)t^3 ] evaluated from -1 to 4\)

\(= (\sqrt{(5)/2)}  [ (81/2) - (243/8) - (-27/8) + (3/8) ]\)

\(= \sqrt{(5)/2)}  [ (189/8) ]\)

= 22.229
Therefore, the scalar line integral ∫ c (3x y) ds, where c is the line segment from (−1,3) to (4,2), is approximately equal to

22.229.

for such more question on scalar line integral

https://brainly.com/question/31392715

#SPJ11

The equation (5/v - 4) * (8/v + 1) * (34/v² - 3v - 4) simplifies to 12v⁴ + 27v³ - 19v² - 510v + 1360.

We have,

To solve the equation (5/v - 4) * (8/v + 1) * (34/v² - 3v - 4), we can simplify it step by step:

(5/v - 4) * (8/v + 1) * (34/v² - 3v - 4)

= (5 - 4v) * (8 + v) * (34 - 3v(v - 4))

= (5 - 4v) * (8 + v) * (34 - 3v² + 12v)

Next, we can expand the expressions within the parentheses:

(5 - 4v) * (8 + v) * (34 - 3v² + 12v)

= (40 - 20v + 5v - 4v²) * (34 - 3v² + 12v)

= (-4v² + 5v - 20v + 40) * (34 - 3v² + 12v)

= (-4v² - 15v + 40) * (34 - 3v² + 12v)

Now, we can further simplify and collect like terms:

(-4v² - 15v + 40) * (34 - 3v² + 12v)

= (-4v² - 15v + 40) * (-3v² + 12v + 34)

= 12v⁴ + 27v³ - 19v² - 510v + 1360

Thus,

The equation (5/v - 4) * (8/v + 1) * (34/v² - 3v - 4) simplifies to

12v⁴ + 27v³ - 19v² - 510v + 1360.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ4

Let's write the ration as a fraction:

1 cm to 1.5 cm

Ratio : 1/1.5 but we need to write it without decimals,

1/1.5 = 2/3 (multiplying by 2 numerator and denominator)

K, the correct answer is 2/3

Answer:

JL ≈ 3.1

Step-by-step explanation:

Using the cosine rule

with JL = k , JK = l , KL = j , then

k² = j² + l² - (2jlcosK )

   = 6² + 8² - ( 2 × 6 × 8 × cos20° )

    = 36 + 64 - (96cos20°)

    = 100 - 96cos20° ( take square root of both sides )

k = \(\sqrt{100-(96cos20)}\) ≈ 3.1 ( to the nearest tenth )

that is JL ≈ 3.1

The mass of salt in the tank at time t.

dS/dt = 10 - S/400

S(0) = 100 grams

The solution is S(t) = 4000 - 3900\(e^{\frac{-t}{400}}\)

A tank holds water V(0) = 4000 liters in which salt S(0) = 100 grams.

So dS/dt = S(in) - S(out)

S(in) = 1 × 10 = 10 gram/liters

S(out) = S/V × 10 = 10S/V gram/liters

V = V(0) + q(in) - q(out)

V = 4000 + 10t - 10t

V = 4000 liters

dS/dt = 10 - 10S/V

dS/dt = 10 - 10S/4000

dS/dt = 10 - S/400

Now given; S(0) = 100.

Here, p(t) = 1/400, q(t) = 10

\(\int p(t)dt = \int\frac{1}{400}dt\)\(\int p(t)dt = \frac{1}{400}t\)

\(\mu=e^{\int p(t)dt}\)

\(\mu=e^{\frac{t}{400}}\)

So, S(t) = \(\frac{\int\mu q(t)dt+C}{\mu}\)

S(t) = \(\frac{\int e^{\frac{t}{400}} \cdot10dt+C}{e^{\frac{t}{400}}}\)

S(t) = \(e^{\frac{-t}{400}} \left({\int e^{\frac{t}{400}} \cdot10dt+C}\right)\)

S(t) = \(e^{\frac{-t}{400}} \left({10\times\frac{e^{\frac{t}{400}}}{1/400} +C}\right)\)

S(t) = \(e^{\frac{-t}{400}} \left({4000\times{e^{\frac{t}{400}} +C}\right)\)

Now solving the bracket

S(t) = 4000 + \(e^{\frac{-t}{400}}\)C.....(1)

At S(0) = 100

100 = 4000 + \(e^{\frac{-0}{400}}\) C

100 = 4000 + \(e^{0}\) C

100 = 4000 + C

Subtract 4000 on both side, we get

C = -3900

Now S(t) = 4000 - 3900\(e^{\frac{-t}{400}}\)

To learn more about mass of salt link is here

brainly.com/question/11192688

#SPJ4

The complete question is:

A tank holds 4000 liters of water in which 100 grams of salt have been dissolved. Saltwater with a concentration of 1 grams/liter is pumped in at 10 liters/minute and the well mixed saltwater solution is pumped out at the same rate. Write initial the value problem for:

The mass of salt in the tank at time t.

dS/dt =

S(0) =

The solution is S(t) =

Answer: 22.5 gallons of gas

Step-by-step explanation:

1 1/2 = 3/2 or 1.5

Take 1.5 divided by 10 = 0.15 gallon per mile

Then take 0.15 times 150 miles = 22.5 gallons of gas

The sample mean of data is 24.19 and median is 3.54. The sign test and hypothesis testing. The boxplot for observation is present above figure. Yes, it support assumption that we are sampling from a normal distribution.

We have a sample data with values 1.48, 4.10, 2.02, 56.59, 2.98, 1.51, 76.49, 50.25, 43.52, 2.96. Also, here consider a sample from a normal distribution with unknown mean and variance, and the hypothesis that the population median (which is the same as the mean in this case) is 3.

Hypothesis testing parameters are

\(Н_0 : \mu = 3 \)

\(H_a : \mu ≠ 3 \)

The sample mean is called the average and it is defined as the ratio sum of data values divided by number of data values.

Median is a statistical measure. It is equals to the middle data value obtained by ordering the data values in ascending order. In case of odd number of data values it is middle value and in case of even number of data values it become mean of two middle values. Here we use Excel function to determine the mean and median values. So, see the above figure, excel command for mean is

'= mean (column contain data values)' and for median '= median ( same column)'. So, mean = 24. 19 and median

= 3.54 . The sign test for hypothesis testing of observations also present in above figure. P-value of test = 0.623 > 0.05 , That is no evidence to reject the null hypothesis. So, population mean = 3. The boxplot of observations also present in above figure.

For more information about hypothesis testing, refer:

https://brainly.com/question/29576929

#SPJ4

Answer:

A,E,G

Step-by-step explanation:

use sohcahtoa

sine = opposite/hypotenuse

cosine=adjacent/hypotenuse

tangent=opposite/adjacent

The equation to get m for a given value of g is:

(1800 - 10g)/45 = m

Ok, here we have the equation:

1,800 = 10g + 45m

We want to find an equation so we can find the value of m for a given value of g, then, we need to isolate m in the above equation:

First, we can subtract 10g in both sides, so we get:

1,800 - 10g = 45m

Now we can divide both sides by 45, so we get:

(1800 - 10g)/45 = m

That is the equation that we can use to find the value of m, we just need to evaluate it in the given value of g.

If you want to learn more about equations:

https://brainly.com/question/13763238

#SPJ1

Answer:

The answer is m = -2/9 g + 40

Answer:

102 nickels and 56 quarters

Step-by-step explanation:

Since the total amount of coins is 158, then...

q+n=158

Since the total amount of money is $19.10, and a quarter is 25 cents and a nickel is 5 cents, then...

0.25q+0.05n=19.10

Now that we have 2 equations and 2 variables, we can solve for this equation by solving the first equation for q and plugging it into the second equation.

q+n=158,

q=158-n

Plug into the other equation,

0.25(158-n)+0.05n=19.10

and solve for n

39.5-0.25n+0.05n=19.10

39.5-0.2n=19.10

-0.2n=-20.4

n=102

there are 102 nickels.

Now solve for quarters.

q+n=158

q+102=158

q=158-102

q=56

The given expression is

We just have to evaluate each answer choice to see which one satisfies the given equations.

For (3,-11)

This result is false, since those numbers are not equivalent.

For (3,11)

In this case, the point (3,11) satisfies the equation because we got a true result.

The renewal-type equation for E[SN(1)+1] is E[SN(1)+1] = 2, indicating that the expected value of the sum of the number of renewals by time 1 plus 1 is equal to 2.

To derive a renewal-type equation for E[SN(1)+1], we can use the renewal-reward theorem.

Let Tn be the interarrival times of the renewal process, where n represents the nth renewal. The random variable N(t) represents the number of renewals that occur by time t.

Using the renewal-reward theorem, we have:

E[SN(1)+1] = E[T1 + T2 + ... + TN(1) + 1]

Since the interarrival times are independent and identically distributed (i.i.d.), we can express this as:

E[SN(1)+1] = E[T] * E[N(1)] + 1

Now, we need to compute the expressions for E[T] and E[N(1)].

E[T] represents the expected interarrival time, which is equal to the reciprocal of the renewal rate. Let λ be the renewal rate, then E[T] = 1/λ.

E[N(1)] represents the expected number of renewals by time 1. This can be calculated using the renewal equation:

E[N(t)] = λ * t

Therefore, E[N(1)] = λ * 1 = λ.

Substituting these expressions back into the renewal-type equation, we have:

E[SN(1)+1] = (1/λ) * λ + 1 = 1 + 1 = 2

Hence, the renewal-type equation for E[SN(1)+1] is E[SN(1)+1] = 2.

To know more about renewal-type equation refer here:

https://brainly.com/question/31971995#

#SPJ11

Answer:

3 and 3/5

10 and 2/5

2 and 11/10

Step-by-step explanation:

Answer in decimal form = -0.2

Answer as a fraction = -1/5

=========================================================

Explanation:

The term "rate of change" is the same as "slope" for linear equations.

Use the slope formula to get the steps shown below.

\((x_1, y_1) = (-3, 3.6) \text{ and } (x_2, y_2) = (5, 2)\\\\m = \frac{y_2 - y_1}{x_2 - x_1}\\\\m = \frac{2-3.6}{5-(-3)}\\\\m = \frac{2-3.6}{5+3}\\\\m = \frac{-1.6}{8}\\\\m = \frac{-16}{80}\\\\m = -\frac{1}{5}\\\\m = -0.2\\\\\)

The decimal value is exact without any rounding done to it.

A slope of -1/5 means we go down 1 unit and to the right 5 units.

slope = rise/run = -1/5

rise = -1 = go down 1

run = 5 = go to the right 5

it affects the amount of rest you get and the amount of time with family / friends

A particular person could have conflicting activities.

They would have to schedule everything they want or need to do around their schedule for work

The attractiveness of a job is inversely proportional to the work hours and schedules.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Work hours and attractiveness of a job.

Now,

We can say that,

The attractiveness of a job (A) is inversely proportional to the work hours and schedules (H).

A ∝ 1/H

This means,

The more work hours and schedules the less the attractiveness of the job.

This is because we can get more time to do our personal activities.

In most cases, we work so that we are financially independent.

We are sacrificing our personal life during our working hours.

Thus,

The more working hours and schedules the less attractive a job is.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

AThe area of an equilateral triangle is given by the formula:

A = (sqrt(3)/4) * s^2

where A is the area and s is the length of one side.

If the original length of the side is x, then the new length is 6x. Therefore, we can write:

A(6x) = (sqrt(3)/4) * (6x)^2

Simplifying:

A(6x) = (sqrt(3)/4) * 36 * x^2

A(6x) = 9 * sqrt(3) * x^2

Therefore, the function representing the area of an equilateral triangle with sides of length six times the original length is:

A(6x) = 9 * sqrt(3) * x^2:

Answer:

P = 64 meters

Step-by-step explanation:

P = 2(l+w) for a rectangle

Substitute in the length and the width

P = 2( 21+11)

P = 2( 32)

P = 64 meters

Answer:

P = 2(l+w)

= 2 ( 21+11)

= 2(32)

= 64m

Answer:

y = 9

Step-by-step explanation:

since opposite sides are congruent and opposite angles are conguent, we use an equal sign

2y + 9 = 27

Step 1: Subtract 9 from both sides.

2y+9−9=27−9

2y=18

Step 2: Divide both sides by 2.

2y/2 = 18/2

y = 9

Answer:

18

Step-by-step explanation:

We know that y is 1.5 times x, so when x = 12, y = (1.5)(12)=18

This directly proportional relationship between p and q is written as p∝q  where that middle sign is the sign of proportionality. The value of x is 8, when the value of y is 12.

Let there are two variables p and q

Then, p and q are said to be directly proportional to each other if

 p = kq

where k is some constant number called the constant of proportionality.

This directly proportional relationship between p and q is written as p∝q  where that middle sign is the sign of proportionality.

In a directly proportional relationship, increasing one variable will increase another.

Now let m and n be two variables.

Then m and n are said to be inversely proportional to each other if

\(m = \dfrac{c}{n} \\\\ \text{or} \\\\ n = \dfrac{c}{m}\)

(both are equal)

where c is a constant number called the constant of proportionality.

This inversely proportional relationship is denoted by

\(m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}\)

As visible, increasing one variable will decrease the other variable if both are inversely proportional.

Given Variables y and x have a proportional relationship, therefore, we can write,

y ∝ x

y = k × x

21 = k × 14

21/14 = k

k = 1.5

Therefore, the equation for the relationship between x and y can be written as,

y = 1.5x

now, the value of x when the value of y is 12 is,

12 = 1.5 × x

x = 8

Hence, the value of x is 8, when the value of y is 12.

Learn more about Directly and Inversely proportional relationships:

https://brainly.com/question/13082482

#SPJ1

An exponent is a number written above and to the right side of a value or number in math. The value or number is called the base, and the expression is read out as;

"Base raised to the power of exponent."

An example is given below;

In this example, 10 is the base and 3 is the EXPONENT.

The expression is now read out as,

"10 raised to the power of 3"

Note that even unknown values (such x as we commonly use in math) can also be an exponent or base. For example, we can have;

So basically, an exponent indicates the number of times a number is used to multiply itself.

Answer:

Number of days = 3

Step-by-step explanation:

Let

x = number of days

Rebound game rental = 4 + 2x

Girl right game center = 1 + 3x

Equate both rental companies to find x

Rebound game rental = Girl right game center

4 + 2x = 1 + 3x

Collect like terms

4 - 1 = 3x - 2x

3 = x

x = 3 days

Number of days = 3

A pencil consists of a cylindrical body (10 cm long, radius 0.3 cm) with a cone-shaped eraser (1 cm slant height) and a hemisphere-shaped eraser.

A pencil consists of three main parts: a cylindrical body, a cone-shaped eraser, and a hemisphere-shaped eraser. Let's break down the dimensions of each part:

Cylindrical Body:

Length: 10 cm

Radius: 0.3 cm

Cone-shaped Eraser:

Slant height: 1 cm (assumed height of the cone)

Hemisphere-shaped Eraser:

Since the dimensions of the hemisphere-shaped eraser are not specified in detail, we'll assume a few things:

Let's assume that the hemisphere is attached to the cone in such a way that the flat surface of the hemisphere is aligned with the circular base of the cone.

We'll assume that the radius of the hemisphere is the same as the radius of the cylindrical body, which is 0.3 cm.

Please note that the actual dimensions of a pencil can vary, and these assumptions are made for the purpose of explanation.

It's worth mentioning that the cylindrical body of the pencil is the main part used for writing, while the cone-shaped and hemisphere-shaped erasers are located at the opposite end of the pencil, typically used for erasing mistakes.

for such more question on radius

https://brainly.com/question/13689629

#SPJ8

The equation of the polar graph is r = 2 + 3cosθ

A polar graph is the pictorial representation of a polar curve

Since we have the polar graph shown in the figure, it is a polar graph in a ring, which is mostly below the horizontal axis with a depression. To determine which of the following equations represents the graph, we proceed as follows.

We know that this type of polar graph has the general equation r = a + bcosθ.

So, the only equation which satisfies this condition is r = 2 + 3cosθ.

So, the equation is r = 2 + 3cosθ

Learn more about equation of polar graph here:

https://brainly.com/question/31739442

#SPJ1