Which expression is equivalent to the following complex fraction?

Answer:

See below

Step-by-step explanation:

1. 12

2. 15   [3*12-21 = 15]

3. 24  [3*15-21 = 24]

4. 51   [3*24 - 21 = 51]

Answer:

1

Step-by-step explanation:

sin0 + cos90 + cot45

0 + 0 + 1

= 1

Answer:

x=64

Step-by-step explanation:

0=1/8x-8

8=1/8x

8/1/8=1/8x/1/8

x=64

Answer:

The equation is linear. (-1, 5), (0, 3), (1, 1), (2, -1)

Answer:

4cm

Step-by-step explanation:

height² = hypotenuse²- base ²

h²= 5²-3²

= 25-9

=16

h= √16

h=4cm

Answer:

34% or 34 out of 100

Step-by-step explanation:

Step-by-step explanation:

in ascending order;

4/15 ,1/5 ,2/3

Answer:

1/5 < 4/15 < 2/3

Step-by-step explanation:

First of all, we will take the LCM of the denominators. the LCM will be 15, so we will multiply the fraction by the number that will give 15 in the denominator

Now the numerators are different but denominators are the same.

We can easily arrange these in ascending order.

The addition of the polynomials [tex]\rm (2x^4 +x^3-4x^2 +3)[/tex] and [tex]\rm (4x^4-2x^3-x^2 +10x +2)[/tex] is [tex]\rm 6x^4 -x^3-5x^2 +10x +5\\[/tex].

Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.

The polynomials are shown below.

[tex]\rm (2x^4 +x^3-4x^2 +3)\ and \ (4x^4-2x^3-x^2 +10x +2)[/tex].

We have to find the addition of the polynomials.

On adding the polynomials, we have

[tex]\rm (2x^4 +x^3-4x^2 +3) + (4x^4-2x^3-x^2 +10x +2)\\\\2x^4 +x^3-4x^2 +3 + 4x^4-2x^3-x^2 +10x +2\\\\6x^4 -x^3-5x^2 +10x +5\\[/tex]

Thus, the addition of the polynomials is [tex]\rm 6x^4 -x^3-5x^2 +10x +5\\[/tex].

More about the polynomials link is given below.

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your answer should be

2 and 10

Answer:

Option D

Step-by-step explanation:

Given the following question:
Original price = $22.99
Total price = $24.10

[tex]\frac{24.1-22.99}{22.99} \times100=24.1-22.99=1.11\div22.99=0.0482818617\times100=4.82818617[/tex]
[tex]4.82818617[/tex]
[tex]8>5[/tex]
[tex]=4.83[/tex]

The sales tax of the basketball was "4.83% or option D."

Hope this helps.

Answer:

2 miles

Step-by-step explanation:

O.5 + 0.5 + 0.5 + 0.5 = 2

Easy! :)

Answer:

I think you suppose to take 0.5 x 4 because it 4 days, so the answer might be 2 miles.

For the box plot of Sam, the data is symmetric and shows that half of the assignments contained 15 problems or fewer.

Box plot is the way of representation of data which gives the graphical image of the data set to understand better.

The minimum and the maximum values in the box plot is plotted at the end points.

For the box plot which Sam used to keep the track,

For the given box plot the data is symmetric, and the medium of the box plot is 15. Thus, the half of the math assignment have less than 15 problem and half of them has more than 15 problems.

Thus, for the box plot of Sam, option A is correct which is, the data is symmetric and shows that half of the assignments contained 15 problems or fewer.

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Answer:

A

Step-by-step explanation:

The data is symmetric and shows that half of the assignments contained 15 problems or fewer.

Money = (1/2×6×7+1/2*3.14*3.5^2)×5.60+150= $375.30

Answer:

Pi×7^2=49pi

Area of square 56+140=196

Shaded area is 196-49pi=42.1cm^2

Answer:

Azda has a better value

Step-by-step explanation:

Tisco: 4 x 1.56 = £6.24 x 3 = 18.72

Azda: 3 x 1.14 = 3.42 x 4 = 13.68

Answer:

scalene acute

Step-by-step explanation:

Since the 3 sides are unequal and the 3 interior angles are less than 90° it is scalene acute

Answer:

Scale acute

Step-by-step explanation:

Hi there!

This is a scalene triangle, meaning that none of the sides have the same length.

Because all of its interior angles are acute, meaning that they all measure less than 90 degrees, this is an acute triangle.

Therefore, this is a scalene acute triangle.

I hope this helps!

Answer:

D- Strong Negative

Step-by-step explanation:

The points have correlation because they form a line. The slope of the line is negative, so the correlation is strong negative. The points would be all over the place if the correlation was weak.

The correlation of the given data is Strong and negative.

A statistical measure known as correlation expresses how closely two variables are related linearly (meaning they change together at a constant rate). It's a typical technique for describing straightforward connections without explicitly stating cause and consequence.

Given, points in a cartesian plane Where all points are on a Straight line that indicates the correlation is strong. Since,

To evaluate the degree of relationships between data variables, correlation coefficients are utilized. The most popular gauge of the strength and direction of a linear link between two variables is known as a Pearson correlation coefficient.

And the given line is decreasing from left to right indicating the slope of the given Data is negative. Thus the correlation of the given points is negative.

Due to the fact that the points form a line, they are correlated. The correlation is strongly negative because the line's slope is negative. If the link was poor, the points would be scattered all over the place.

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Answer:

80.78°

Step-by-step explanation:

When the 30 cm long string will be bent in the form of a sector it's two sides will be radii of the sector and lower part be the arc. Length of the arc can be found as given below.

Length of the string = 30 cm

radius of sector (r)= 8.8 cm

Length of the arc (l) = 30 - 2*8.8 = 30 - 17.6 = 12.4 cm

Let the sector makes [tex]\theta[/tex] angle at the centre of the circle.

Formula for length of arc of a sector is given as:

[tex]\huge \red{l=\frac{\theta}{360\degree}\times 2\pi r}[/tex]

Plugging the values of l and r in the above formula, we find:

[tex]12.4 = \frac{ \theta}{360 \degree} \times 2(3.14)(8.8) \\ \\\implies12.4 = \frac{ \theta}{360 \degree} \times 55.264 \\ \\ \implies \: \theta = \frac{12.4 \times 360 \degree}{55.264} \\ \\ \implies \: \theta =80.775 \degree \\ \\ \implies \: \theta \approx \: 80.78 \degree[/tex]

Answer:

3/20 & 15%

Percent:

0.15 move 2 right and get 15%

Fraction:

15/100 simplifies to 3/20

3/20,15%

yan po answer

=]

The ratio of the height of the model to the height of the actual ATT Building is 0.00814

An equation is an expression used to show the relationship between two or more variables and numbers.

12 inches = 1 ft.

Height of model = 60 inches = 60 inches * 1 ft per 12 in = 5 ft.

Height of  ATT Building = 614 ft.

Ratio of the height of the model to the height of the actual ATT Building = 5 ft / 614 ft = 0.00814

The ratio of the height of the model to the height of the actual ATT Building is 0.00814

Find out more on Equation at: https://brainly.com/question/13763238

Step-by-step explanation:

there are 2 variables in one equation, and none of the variables can be eliminated through simplification.

-19x + 3y - 4 = 3

-19x + 3y = 7

so, there will be infinitely many solutions.

Percent is count of number per 100 numbers. The total amount Ms Clark pays including the tip is given by: Option B: $36.60

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

It is given that:

Total cost that Ms Clark pays = Cost of meal + tip amount

Now, tip amount is 20% of $25.50

It is calculated as:

[tex]Tip = \dfrac{25.50}{100} \times 20 = 5.1\text{\:(In dollars)}[/tex]

Thus, tip amount = $5.1

And thus, Total cost that Ms Clark pays = $25.5 + $5.1 = $30.6

Thus,

The total amount Ms Clark pays including the tip is given by: Option B: $36.60

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Answer:

25 kilograms = 25000

12 grams = 0.012

Answer:

Grams= 25000

kilograms= 0.012

Step-by-step explanation:

Graphs that represent direct variation are proportional functions

The graph represents a direct variation

From the graph, we have the following ordered pairs

(x,y) = (0,0), (2,4) and (3,9)

Rewrite as:

(x,x^2) = (0,0^2), (2,2^2) and (3,3^2)

The above means that, the equation of the graph is:

[tex]y = x^2\\[/tex]

i.e. y varies directly to the square of x

Where the proportionality constant is 1

Hence, the graph represents a direct variation

Read more about direct variations at:

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Answer:

$100.00

Step-by-step explanation:

Compound interest is calculated by multiplying the initial loan amount, or principal, by the one plus the annual interest rate raised to the number of compound periods minus one. This will leave you with the total sum of the loan including compound interest.

The amount I have to pay back in full is approximately 100 dollars.

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.

The formula for compound interest compounded semi-annually is,

A = P(1 + (r/2)/100)²ⁿ. (two semi-annuals in one year)

Therefore, A = 95(1 + (5.2/2)/100)²ˣ¹.

A = 95(1 + 0.026)².

A = 95(1.026)².

A = 95×1.052676.

A = $100 approximately.

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Answer:

2 stars, 2 question marks, or two blank spaces

Step-by-step explanation:

Answer

well first u put it as 2/2 which is 2 then you have to times it by 69 which is 138 then divide that by 6.5 which is 21

Step-by-step explanation:

actual answer is 4 if you were serious about this

Answer: 4

Step-by-step explanation:

Use your hands:

2 on one hand

2 on the other hand

Put them together which is 4