Classify -3x5+4x3+x2+9 by degree and by number of terms.

There's a neat trick to finding the rational form of a repeating decimal number. Take for instance \(x=0.123123123\ldots\). Then

\(x = 0.123123123\ldots \\\\ \implies 1000x = 123.123123\ldots \\\\ \implies 1000x - x = 123.123123\ldots - 0.123123\ldots \\\\ \implies 999x = 123 \\\\ \implies x = \dfrac{123}{999}\)

It's easy to reverse this method to find the repeating decimal form of \(\frac7{11}\). Let

\(x = \dfrac7{11}\)

Multiply the numerator and denominator by 9,

\(x = \dfrac{63}{99}\)

It follows that

\(x = \dfrac{63}{99} \\\\ \implies 99x = 63 \\\\ 100x - x = 63.6363\ldots - 0.6363\ldots \\\\ \implies x = 0.636363\ldots\)

The first 20 digits after the decimal are made up of 10 each of 3 and 6, so the sum is 10 × (3 + 6) = 90.

Answer:

90

Step-by-step explanation:

Using long division, we find that  Every group of two digits after the decimal point has a sum of 9 so the sum of the first 20 digits after the decimal point is 10*9=90

Answer:

I think the graph that represents a function is graph 4

To determine what students want served in the cafeteria, the cook asks students in Ms. Andrew’s first period class. The sample used by the cook is known as Convenience.

The sample used is known as convenience sample. The cook only asks students in Ms. Andrews’ first period class which is a convenient and accessible group to ask but this method of sampling may not be representative of the entire student population as it only includes students in one class.

So, the results may not accurately reflect what all students want to be served in the cafeteria, hence, more representative sample could be obtained by using a simple random sample or systematic sample where  student in the population has an equal chance of being selected.

Read more about convenience sample

brainly.com/question/28046586

#SPJ1

Answer:

\( x = 3y \)

\(7x+4y= 12 + 4x+7y\)

Step-by-step explanation:

Para resolver la pregunta, basta con definir variables adecuadas y traducir cada relación. Sea x el costo de una caja grande e y el costo de una caja pequeña. Tenemos que el costo de una caja grande es igual a 3 cajas pequeñas. Es decir, x = 3y. Luego, tenemos que

\(7x+4y= 12 + 4x+7y\)

pues al sumarle 12 al costo de 4grande y 7 pequeñas obtenemos el costo de 7 grande y cuatro pequeñas. De aquí, el sistema de ecuaciones que modela el sistema es

\( x = 3y \)

\(7x+4y= 12 + 4x+7y\)

The Surface area of the triangular prism with the net shown below is 106 cm²

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

Surface area of the triangular prism = 2(0.5 * 5 * 3) + (7 * 3) + 2(7 * 5) = 106 cm²

The Surface area of the triangular prism with the net shown below is 106 cm²

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Answer:

i cant see the pic please send a better one and i reloaded it and it still does not work

Step-by-step explanation:

The height that describes how tall the tree is is 37.5 feet.

To determine how tall the tree is, we need to apply the proportion formula to arrive at the right answer. We express the values this way:

\(\frac{x}{75} = \frac{50}{30}\)

Now we cross multiply to have

30x = 1125

x = 1125/30

= 37.5

So, the length of the tree is 37.5 feet.

Learn more about proportions here:

https://brainly.com/question/1496357

#SPJ1

Three types of rigid transformations are Reflection, Rotation, and Translation. Rigid transformation, also called isometry.

A rigid transformation, also called isometry,  is a transformation that doesn't change the size or shape of a geometric figure. The following are 3 types of rigid transformation:

1. Reflection

→  is the act of shifting an object's coordinates that flip it across a line without changing its shape or size. Horizontal (draw a figure to the left or right) or vertical (draw a figure to the up or down) reflections are possible. The result of reflection is a mirror image of the figure itself.  

The figure is reflected across \(x-\) or \(y-\) axis, and then change \(x-\) or \(y-\) coordinate.

2. Rotation

→ is the non-modification of an object's size or shape by rotating it around an fixed point. A center of rotation is required to rotate an object. And the rotation did by using a degree.

The figure is rotated by a degree (ex: 90°), and then change \(x-\) or \(y-\) coordinate. Meanwhile, a point's center rotation stays at the same.

3. Translation

→ is sliding a figure in any direction without changing its size, shape, or orientation. Translation could be horizontal (make a figure left or right),  or vertical reflections (make a figure up or down).

Vertical translation is shifting the graph along  \(y-\) axis

Horizontal translation is shifting the graph along  \(x-\) axis.

Here to learn more about Rigid Transformation:

https://brainly.com/question/1462871

#SPJ4

Answer:

-3

Step-by-step explanation:

Profitability index is 1.387. Thus, the correct option is (c) 1.387.

The formula for calculating the profitability index is:

P.I = PV of Future Cash Flows / Initial Investment

Where,

P.I is the profitability index

PV is the present value of future cash flows

The initial investment in the project is $30 million. The cash flow at the end of the first year is $2.85 million.

The present value of cash flows can be calculated using the formula:

PV = CF / (1 + r)ⁿ

Where,

PV is the present value of cash flows

CF is the cash flow in the given period

r is the discount rate

n is the number of periods

For the first-year cash flow, n = 1, CF = $2.85 million, and r = 11%.

Substituting the values, we get:

PV = 2.85 / (1 + 0.11)¹ = $2.56 million

To calculate the present value of all future cash flows, we can use the formula:

PV = CF / (r - g)

Where,

PV is the present value of cash flows

CF is the cash flow in the given period

r is the discount rate

g is the constant growth rate

For the subsequent years, CF = $2.85 million, r = 11%, and g = 3.85%.

Substituting the values, we get:

PV = 2.85 / (0.11 - 0.0385) = $39.90 million

The total present value of cash flows is the sum of the present value of the first-year cash flow and the present value of all future cash flows.

PV of future cash flows = $39.90 million + $2.56 million = $42.46 million

Profitability index (P.I) = PV of future cash flows / Initial investment

= 42.46 / 30

= 1.387

Therefore, the correct option is (c) 1.387.

Learn more about Profitability index

https://brainly.com/question/30641835

#SPJ11

Answer:

m=2

Step-by-step explanation:

(1,2), (2,4)

4-2/2-1

2/1

m=2

Answer:

We can just multiply 11/6 by 180 which is 330°.

Answer:

a 1/15 b 5/12

Step-by-step explanation:

The height of given parallelogram is 5 units.

Given that, the parallelogram shown below has an area of 15 units.

The base is 3 units.

We know that, the area of a parallelogram is Area = Base × Height

Here, Area = 3×Height

15 = 3×Height

Height = 15/3

Height = 5 units

Therefore, the height of given parallelogram is 5 units.

Learn more about the area here:

https://brainly.com/question/27683633.

#SPJ1

"Your question is incomplete, probably the complete question/missing part is:"

The parallelogram shown below has an area of 15 units. Find the missing height.

After simplifying the expression 8⁻⁵ / 8⁻⁷ with no exponents, we get the result as 64.

To simplify 8⁻⁵ / 8⁻⁷ with no exponents, we need to use the rule that states when dividing two powers with the same base, you can subtract the exponents. Thus:

8⁻⁵ / 8⁻⁷ = 8⁻⁵ x 8⁷

To simplify this further, we can use the rule that states when multiplying powers with the same base, you can add the exponents. Thus:

8⁻⁵ x 8⁷ = 8⁻⁵⁺⁷

Simplifying the exponent by adding -5 and 7, we get:

8²

Therefore, 8⁻⁵ / 8⁻⁷ with no exponents is equal to 8², which simplifies to 64. So the final answer is 64.

To learn more about exponents click on,

https://brainly.com/question/9822353

#SPJ1

Working papers are the property of an accountant, a client for whom the documents were used and developed has no right of access to them.

The statement is true.

Given,

In the question:

Because working papers are the property of an accountant, a client for whom the documents were used and developed has no right of access to them.

Let's know:

An accountant is an expert who handles bookkeeping and types out the monetary files you need to run your business—like profit and loss statements, balance sheets, and extra. They audit your books, put together reviews for tax functions, and simplify all the monetary mumbo jumbo that incorporates going for walks an enterprise.

Answer in true and false.

Now, According to the question:

The above statement is true.

Working papers are the property of an accountant, a client for whom the documents were used and developed has no right of access to them.

Hence, The statement is true.

Learn more about Accountant at:

https://brainly.com/question/24211404

#SPJ4

Answer:

Step-by-step explanation

Left at 6:15 am

How many hours until 2:15pm? 8 hours

How many minutes from 2:15 until 2:30? 15

So it took 8 hours and 15 minutes

Answer:

Area = Width * Length

Step-by-step explanation:

This is the formula for a rectangle. If you plug in the values that were givin to you, the answer is 6 units^2.

Answer:

$28

Step-by-step explanation:

9 tho cars is $14 and 9x2 is 18 so you would do 14x2 which is 28

Answer:

824

Step-by-step explanation:

DELTAMATH

The amount of money would Nora have more in her account than Ella after 11 years is $714 to the nearest dollar.

Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.

The formula for the final amount with the compound interest formula can be given as,

\(A=P\times\left(1+\dfrac{r}{100}\right)^{t}\\\)

Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.

Nora invested $6,300 in an account paying an interest rate of 7(3/4)% compounded continuously. Convert this rate of interst in fractional form as,

\(r=7\dfrac{3}{4}\\r=\dfrac{31}{4}\)

The principal amount of Nora is $6300 and time period is 11 years. Thus the amount in her account after 11 years will be,

\(A=6300\times\left(1+\dfrac{31}{4\times100}\right)^{11}\\A=14319.59\)

Ella invested $6,300 in an account paying an interest rate of 7\tfrac{1}{4}7 4 1 ​ % compounded monthly.  Convert this rate of interst in fractional form as,

\(r=7\dfrac{1}{4}\\r=\dfrac{29}{4}\)

The principal amount of Elia is $6300 and time period is 11 years. Thus the amount in her account after 11 years will be,

\(A=6300\times\left(1+\dfrac{29}{4\times100}\right)^{11}\\A=13605.39\)

The differnce is,

\(d=14319.59-13605.39\\d=714.20\\d\approx714\)

Thus the amount of money would Nora have more in her account than Ella after 11 years is $714 to the nearest dollar.

Learn more about the compound interest here;

https://brainly.com/question/24274034

Answer:

b)  $0.15c + $125 = $305

c = number of cookies baked

Adrienne baked 1200 cookies in one day

Step-by-step explanation:

Expenditure:

Part A

b)  $0.15c + $125 = $305

Part B

c = number of cookies baked

Part C

   0.15c + 125 = 305

⇒ 0.15c = 305 - 125

⇒ 0.15c = 180

⇒ c = 180 ÷ 0.15

⇒ c = 1200

Adrienne baked 1200 cookies in one day

a. Vector v resolved into components is v =  (3√2/2)i +  (3√2/2)j

b. Vector w resolved into components is w = 0i + (1/2)j +  (√3/2)k

A vector in 2 dimension is given by r = xi + yj

where

Given that the vector v in 2-space of length 3 pointing up at an angle of π/4 measured from the positive x-axis, we have that,

So, v = xi + yj

x =  rcosθ = 3cosπ/4

= 3 × 1/√2

= 3/√2 × √2/√2

= 3√2/2

y =  rsinθ

= 3sinπ/4

= 3 × 1/√2

= 3/√2 × √2/√2

= 3√2/2

So, v =  (3√2/2)i +  (3√2/2)j

Vector v resolved into components is v =  (3√2/2)i +  (3√2/2)j

A vector in 3 dimension is given by r = xi + yj + zk

where

Given that the vector w in 3-space of length 1 lying in the yz-plane pointing upwards at an angle of 2π/3 measured from the positive x-axis, we have that,

So, v = xi + yj + zk

x =  rsinαcosθ

= 1 × sin(π/6)cos(π/2)

= 1 × 1/2 × 0

= 0

y = rsinαcosθ

= 1 × sin(π/6)sin(π/2)

= 1 × 1/2 × 1

= 1/2

z = rcosα

= 1 × cos(π/6)

= 1 × √3/2

= √3/2

So, w =  0i + (1/2)j +  (√3/2)k

Vector w resolved into components is w = 0i + (1/2)j +  (√3/2)k

Learn more about vectors here:

https://brainly.com/question/25705666

#SPJ1

\(60\% = 180\\1\%=\frac{180}{60} = 3\)

\(100\% - 60\% = 40\%\\40\% = 3*40=120\)

Answer: 120 cans.

The volume of the rectangular prism is given by : V = - 5/2

Given, Length of the rectangular prism =  (25x^(2)y^(2))/(12z^(2))

Width of the rectangular prism = (36yz^(2))/(5x^(3))

Height of the rectangular prism = (7xz)/(15y^(3))

The formula for the volume of a rectangular prism is given by, V = Length × Width × Height Therefore, the volume of the rectangular prism is given by : V = (25x^(2)y^(2))/(12z^(2)) × (36yz^(2))/(5x^(3)) × (7xz)/(15y^(3))

On simplifying the above expression, we get : V = 7x(5x - 2y)(3z - 6y) / 20 Width: (3a+2)/(4) Length: (a-2)/(a^(2)+2a-35)Height: (a-5)/(3a+2) The formula for the volume of a rectangular prism is given by, V = Length × Width × Height Therefore, the volume of the rectangular prism is given by : V = Length × Width × Height

On substituting the given values in the formula for volume of the rectangular prism, we get, V = (a-2)/(a^(2)+2a-35) × (3a+2)/(4) × (a-5)/(3a+2)V = (a - 2)(a - 5) / 4(a + 7)Width: (6x+9)/(3x-15) Length: (x-5)/(4x+6) Height: (5/3)

The formula for the volume of a rectangular prism is given by, V = Length × Width × Height Therefore, the volume of the rectangular prism is given by : V = (x - 5)/(4x + 6) × (6x + 9)/(3x - 15) × (5/3)V = - 5/2

To know more about rectangular prism refer here:

https://brainly.com/question/32444543

#SPJ11

The probability of having two years with high sales in a row for Apple Inc. is 0.16 or 16%.

To find the probability of two independent events happening in succession, you multiply their individual probabilities together. In this case, the probability of high sales in a given year is 40%, or 0.4.

Step 1: Convert percentages to decimal form.
High sales: 40% = 0.4

Step 2: Multiply the probabilities of high sales for two consecutive years.
Probability of two high sales years in a row = 0.4 * 0.4

Step 3: Calculate the result.
Probability = 0.4 * 0.4 = 0.16

To know more about probability refer to

https://brainly.com/question/13604758

#SPJ11

Step-by-step explanation:

The kinetic energy = 1/2 mv^2      starts at zero

  the work required is the kinetic energy the ball attains

    6.3 ounce = 6.3 /16 = .39375 lb

KE = 1/2 ( .39375 lb)/ ( 32.2 ft/s^2)  *  ( 85 ft /s)^2 = 44.17 ft-lbs

Answer:

\($\arcsin\left(\frac{129\sqrt{2}}{250}\right)\approx 0.8179$\)

Step-by-step explanation:

\(\alpha \text{ and } \beta \text{ in Quadrant I}\)

\($\tan(\alpha)=\frac{1}{7} \text{ and } \sin(\beta)=\frac{1}{\sqrt{10}}=\frac{\sqrt{10} }{10} $\)

Using Pythagorean Identities:

\(\boxed{\sin^2(\theta)+\cos^2(\theta)=1} \text{ and } \boxed{1+\tan^2(\theta)=\sec^2(\theta)}\)

\($\left(\frac{\sqrt{10} }{10} \right)^2+\cos^2(\beta)=1 \Longrightarrow \cos(\beta)=\sqrt{1-\frac{10}{100}} =\sqrt{\frac{90}{100}}=\frac{3\sqrt{10}}{10}$\)

\(\text{Note: } \cos(\beta) \text{ is positive because the angle is in the first qudrant}\)

\($1+\left(\frac{1 }{7} \right)^2=\frac{1}{\cos^2(\alpha)} \Longrightarrow 1+\frac{1}{49}=\frac{1}{\cos^2(\alpha)} \Longrightarrow \frac{50}{49} =\frac{1}{\cos^2(\alpha)} $\)

\($\Longrightarrow \frac{49}{50}=\cos^2(\alpha) \Longrightarrow \cos(\alpha)=\sqrt{\frac{49}{50} } =\frac{7\sqrt{2}}{10}$\)

\(\text{Now let's find }\sin(\alpha)\)

\($\sin^2(\alpha)+\left(\frac{7\sqrt{2} }{10}\right)^2=1 \Longrightarrow \sin^2(\alpha) +\frac{49}{50}=1 \Longrightarrow \sin(\alpha)=\sqrt{1-\frac{49}{50}} = \frac{\sqrt{2}}{10}$\)

The sum Identity is:

\(\sin(\alpha + \beta)=\sin(\alpha)\cos(\beta)+\sin(\beta)\cos(\alpha)\)

I will just follow what the question asks.

\(\text{Find the value of }\alpha+2\beta\)

\(\sin(\alpha + 2\beta)=\sin(\alpha)\cos(2\beta)+\sin(2\beta)\cos(\alpha)\)

\(\text{I will first calculate }\cos(2\beta)\)

\($\cos(2\beta)=\frac{1-\tan^2(\beta)}{1+\tan^2(\beta)} =\frac{1-(\frac{1}{7})^2 }{1+(\frac{1}{7})^2}=\frac{24}{25}$\)

\(\text{Now }\sin(2\beta)\)

\($\sin(2\beta)=2\sin(\beta)\cos(\beta)=2 \cdot \frac{\sqrt{10} }{10}\cdot \frac{3\sqrt{10} }{10} = \frac{3}{5} $\)

Now we can perform the sum identity:

\(\sin(\alpha + 2\beta)=\sin(\alpha)\cos(2\beta)+\sin(2\beta)\cos(\alpha)\)

\($\sin(\alpha + 2\beta)=\frac{\sqrt{2}}{10}\cdot \frac{24}{25} +\frac{3}{5} \cdot \frac{7\sqrt{2} }{10} = \frac{129\sqrt{2}}{250}$\)

But we are not done yet! You want

\(\alpha + 2\beta\) and not \(\sin(\alpha + 2\beta)\)

You actually want the

\($\arcsin\left(\frac{129\sqrt{2}}{250}\right)\approx 0.8179$\)

Answer:

ok bye guy................