The coordinates of the vertices of a polygon are shown on the graph below.
What is the name of the polygon?
octagon
pentagon
quadrilateral
triangle

After using the subtraction method 49 rose bushes the workers plant today.

What do mean by the subtraction method?
A method of estimating how long a psychological process will take by measuring how long it takes to react to an activity that involves the process in question and how long it takes to react to a task that doesn't, then subtracting the second from the first.

total rose bushes are 31

total bushes to be finished in the park, 80

rose bushes planted today =(80-31)

                                             =49

Hence, the rose bushes in the worker's plant today are 49

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If she gave two to each of her friends. She only has 8 remaining balls. so she has a total of 16 friends.

What is division in mathematics?

In mathematics, division is the process of dividing a number into equal parts and determining how many equal parts can be made. For instance, dividing 15 by 3 means dividing 15 into three equal groups of five. The symbol " or sometimes '/' represents division.

Sumalee won a total of 40 super bouncy balls.

then she gave two balls to each of her friends.

So she can distribute the balls to = 40/2

                                                       = 20 friends.

But after the distribution, she remained with 8 balls.

Now the number of balls will be = 40 - 8 = 32 balls.

and she can distribute 32 balls to = 32/2

                                                        = 16 friends.

Hence, If she gave two to each of her friends. She only has 8 remaining balls. so she has a total of 16 friends.

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Answer:

Step-by-step explanation:

You want to know the value of 1010 in binary.

We're not sure if you have the base ten number 1010 and you want its value in binary, or if the number 1010 is in binary, and you want its value in base ten.

Converting the base ten number to binary means looking at the remainders from division by 2, until the quotient is zero.

The binary value is the list of these remainders from the bottom up:

  1010₁₀ = 11 1111 0010₂

(It is often convenient for readability to group the digits by 3 or 4.)

The conversion from binary essentially uses the expanded form of the number. The arithmetic is done in the base you're converting to. Here, that's base ten.

  1010₂ = 1×2³ +0×2² +1×2¹ +0×2⁰ = 8 +2 = 10

  1010₂ = 10₁₀

The correct ascending order is 33000 cm, 0.34 km, 430 m.

to find the ascending order we firstly have to convert the  all values into a same unit system.

we will convert all the values into cm units.

so, 0.34 km = 0.34*100000 cm,

0.34 km = 34000 cm.

similarly 430 m = 430* 100 cm,

430 m = 43000 cm.

and lastly we have 33000 cm.

so in all the values 33000 cm is smallest and 43000 cm is largest and the correct ascending order will be 33000 cm, 0.34 km, 430 m.

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5.5% compounded monthly will be the best investment.

Borrowers are required to pay interest on interest in addition to principal since compound interest accrues and is added to the accrued interest from prior periods.

We know the formula for compound interest is,

A = P(1 + r/100)ⁿ.

Where, A = amount, P = principle, r = rate, and n = time in years.

Now the formula for compound interest compounded monthly is,

A = P(1 + r/100)¹²ⁿ as a year has 12 months.

The formula for compound interest compounded semiannually is,

A = P(1 + r/100)²ⁿ as there are two semi-annuals in a year.

The formula for compound interest compounded continuously is,

[tex]A = P(1 + r/100)^{5.5n}[/tex] as the rate of interest is 5.5%.

Now from all these A = P(1 + r/100)¹²ⁿ which is compounded monthly has the highest power hence it will be the best investment.

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1) The yearly depreciation expense under the straight-line method is $2,000.

2) If the car was bought on April 3, the depreciation expense for the first year is approximately $1,500.

Under the straight-line depreciation method, the depreciation expense is the quotient of the depreciable amount (cost - residual value) divided by the estimated useful life of the asset.

The depreciation expense is prorated if it does not cover the full year.

Cost of car = $12,000

Estimated useful life = 5 years

Residual value = $2,000

Depreciable amount = $10,000 ($12,000 - $2,000)

Straight-line Depreciation (annual) = $2,000 ($10,000/5)

Depreciation for first year (April 3) = $1,496 ($2,000 x 273/365)

≈ $1,500

Thus, using the straight-line method, the depreciation expense for the car in each year is $2,000.

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Step-by-step explanation:

[tex]y = \sin {}^{4} (3x) [/tex]

Using the chain rule

[tex] \frac{d( \sin(3x)) {}^{4} }{dx} = 12 \sin {}^{3} (3x) \cos(3x) [/tex]

The triangle with sides length of  35 km , 83 km and 86 km cannot form a right triangle.

A right triangle is a triangle that has one angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

The sides of a triangle can be found using Pythagoras's theorem. Right triangle obeys  Pythagoras's theorem.

The  Pythagoras's theorem can be represented as follows:

c² = a² + b²

where

The hypotenuse is the longest side of the right triangle.

Hence, let's check if the side length of 35 km 83 km 86 km is a right triangle.

35² + 83² = 86²

1225 + 6889  ≠ 7396

Therefore, it is not a right triangle.

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Answer:

Carmelita Jeter 10.64

Step-by-step explanation:

Because the first is Kerron Stewart,the second is Merlene Ottey and the third is Shelley-Ann Fraster

The second graph represents that the function has two complex roots.

What are Complex Numbers?

Complex numbers are made up of two parts: a real number and an imaginary number. Complex numbers serve as the foundation for more complex arithmetic, such as algebra.

Solution:

Since, the graph in the second option is not making any contact with thew point on x-axis it can be very well said that the solutions/roots/zeros of the quadratic equation are complex numbers.

Which is not the case for option one and option two because, the curves are making intercepts on x-axis thus, giving real roots.

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Answer:

I'm doing the same exact test, it's B.

Answer:

Step-by-step explanation:

280%, 2.8, 2 4/5

2 4/5 =2.8

The families of solutions (variable x) for the square root of the trigonometric expression 2 · cos x - 1  equal to 0 are x₁ = π / 6 + i · 2π and x₂ = 11π / 6 + i · 2π, where i is an integer.

In this question we find the following trigonometric expression:

√(2 · cos x - 1) = 0

Where x is measured in radians.

By algebra properties and trigonometric formulas we must solve the trigonometric expression for x. First, use algebra properties until the trigonometric function is cleared:

√(2 · cos x - 1) = 0

2 · cos x - 1 = 0

2 · cos x = 1

cos x = 1 / 2

Second, find the family of solutions for the square root of the trigonometric function:

x₁ = π / 6 + i · 2π, where i is an integer.

x₂ = 11π / 6 + i · 2π, where i is an integer.

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Answer: The credit after calling for 35 minutes will be 31.17 dollar

How do you determine a line's slope?

The slope is calculated by dividing the difference between the y-coordinates of two points on a line by the difference between their x-coordinates.

Step-by-step explanation:

Given that credit x = 32.86
and time for calling y = 22
slope is m = -0.13
c = ?

Equation of line
y = mx + c
32.86 = -0.13(22) + c

32.86 + 2.86 = c

c = 35.72
now we have c we can calculate credit at time 35 min
y = -0.13(35) + 35.72
y = 35.72 - 4.55
y = 31.17 dollar
Hence the credit at time 35 min is 31.17 dollar
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a. The Venn Diagram that represents the distribution of languages taken at the Kollar institute is given by the image at the end of the answer.

b. The percentage of students at the institute that take none of the three languages is of: 9%.

The Venn Diagram is built considering the proportions of students taking these three courses.

The most restricted proportion is one the students that speak three languages, given as follows:

0.13.

The proportions containing two of them are:

The proportions with only one language are:

The proportion who takes at least one is:

0.2 + 0.04 + 0.18 + 0.12 + 0.13 + 0.01 + 0.23 = 0.91.

The proportion who take none is:

1 - 0.91 = 0.09.

The percentage is:

9%.

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1. The following transactions fully comply with the revenue recognition principle of generally accepted accounting principles and should be included in the 20X5 revenue of Revgression Corporation:

(3) Goods were delivered to customers during early 20X5, ...

(4) Customers purchased goods and services during late 20X5, ...

(6) Goods were purchased and paid for by customers during 20X5, ...

2. The following transactions do not comply with the revenue recognition principle of generally accepted accounting principles and should not be included in the 20X5 revenue of Revgression Corporation:

(1) Goods were sold and shipped in late 20X5 ...

(2) Goods were produced according to ...

(5) Advance payment from a customer in...

ASC 606 of generally accepted accounting principles or IFRS 15 states that companies should recognize revenue when the service or product is delivered to the customer, not when cash is received.

Ordinarily following the five-step revenue recognition process, the goods sold and shipped in late 20X5 may be recognized in 20x5, while the installation service is recognized when completed in 20X6.

However, the contract requires substantial installation and setup services, and Revgression Corporation needs to comply before recognizing revenue.

Thus, revenue items 3, 4, and 6 should be recognized in 20X5 while revenue items 1, 2, and 5 should be recognized in 20X6.

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The two functions f and g such that h(x) = (fog) (x) , are f(x) = 7x + 5  and g(x) = √x  .

In the question ,

it is given that

the two functions f(x) and g(x) , form a composite function h(x) such that

h(x) = (f o g)(x) , and h(x) = √(7x + 5)

the composite function (f o g)(x) means f(g(x)) which means g(x) is within h(x) .

By this we get that

the function g(x) is (7x + 5)

and function f(x) is √x  .

Therefore , The two functions f and g such that h(x) = (fog) (x) , are f(x) = 7x + 5  and g(x) = √x  .

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Answer:

x = 15

Step-by-step explanation:

To solve this question and find value of x, we need to use Euclidean relation.

According this relation:

[tex] {x}^{2} = 9 \times 25[/tex]

[tex] {x}^{2} = 225[/tex]

Find the root of both expressions,

x = 15

Answer:

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Using proportions here, the solution must contain 42 mL of HCL

Proportion is explained majorly based on ratio and fractions. A fraction, represented in the form of a/b, while ratio a:b, then a proportion states that two ratios are equal. The ratio is a way of comparing two quantities of the same kind by using division. The ratio formula for two numbers a and b is given by a:b or a/b. Multiply and dividing each term of a ratio by the same number (non-zero), doesn’t affect the ratio.

We can write the ratio as this

49 / 91 = x / 78

cross multiply both sides and solve for x

x = 42 milliliters

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The function rule for the line is f(x) = [tex]\frac{2}{3}x[/tex] - 2

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant.

The line cuts the x and y axis at (3,0) and (0, -2)

standard form of equation of line: y = mx + c

when x =3, y = 0

substitute these values into the equation

0 = 3m + c

c = -3m----------------1

when x = 0, y = -2

substitute these values into the equation, we have

-2 = 0(m) + c

c = -2

substitute the value of c in equation 1 to find m

-2 = -3m

m = 2/3

Substitute the values of m and c into the standard equation,

y =  [tex]\frac{2}{3}x[/tex] - 2

In conclusion, the function rule for the given line is y =  [tex]\frac{2}{3}x[/tex] - 2

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The quotient of the fraction illustrated as

0.64 / 3.8 is 16/95.

Here we have the following quotient to solve:0.64/3.8

First, we can write both numerator and denominator as fractions:

0.64 = 0.64*(100/100)

= 64/1003.8

= 3.8*(10/10)

= 38/10

Remember that the quotient between two fractions (a/b) and (c/d) can be rewritten as:(a/b)÷(c/d) = (a/b)*(c/d)

Our quotient here is:(64/100)÷(38/10)

= (64/100)*(10/38)

= (64/380)

= (32/190)

= (16/95)

That is the quotient.

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Answer:

The number is 5

Step-by-step explanation:

Let us use an equation ( X is the unknown number)

2(x-3)=4

2x-6=4

2x-6+6=4+6

2x/2=10/2

x=5

Answer:

[tex]y > \frac{14}{3}[/tex]

Step-by-step explanation:

Take a look at the attachment...

Hope this helps! :)

( 3,7 ) will be point when its moved 5 units down on coordinate plane .

What is the short definition of a coordinate plane?

( 3,2) is the point .

when the point is moved 5 units down

then the point will be  = ( 3, 7 )

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For given polynomial function f(x)=−2/9x^9(x−9)^2(x−8),

the leading term ( -2/9x^12 ) is negative with even exponent (12).  The curve decreases as x approaches both negative infinity and positive infinity.

In this question, we have been given a polynomial f(x)=−2/9x^9(x−9)^2(x−8)

We need to determine the end behavior of the following polynomial function.

We write given polynomial functions as,

f(x) = -2/9x^12 + 52/9 x^11  -50x^10 + 144x^9

The leading term of the polynomial is:  -2/9x^12

The degree of f(x) is : 12

The leading coefficient is: -2/9

We can see that the leading term is negative with even exponent.  The curve decreases as x approaches both negative infinity and positive infinity.

Therefore, for given polynomial function f(x)=−2/9x^9(x−9)^2(x−8),

the leading term ( -2/9x^12 ) is negative with even exponent (12).  The curve decreases as x approaches both negative infinity and positive infinity.

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By using the concept of ratio, it is obtained that

AB : BC : CD = 4 : 3 : 13

What is ratio?

Ratio between two number signifies how much one number is larger than as compared to another. The first part of the ratio is called antecedant and the second part of the ratio is called consequent

Here, the concept of ratio has been used

Here, AB : BD = 1 : 4

AC : CD = 7 : 13

AC  + CD = 7 + 13 = 20

[tex]AB = \frac{1}{1 + 4} \times 20 = 4[/tex]

[tex]BD = \frac{4}{1+4} \times 20 = 16[/tex]

[tex]CD = 13[/tex]

BC = BD - CD = 16 - 13 = 3
AB : BC : CD = 4 : 3 : 13

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Answer:

Here we need to find the value of y

In the given figure, 2y and 110 are adjacent to each other.

Hence the value of y = 110.

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[tex]4\frac{1}{2}[/tex] as a percentage is 450% and [tex]4\frac{1}{2}[/tex] as a decimal is 4.5

So, your answer would be the last option!

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Have a great day and God bless! :D