MATHEMATICS HIGH SCHOOL

Why do both ways of writing the numbers as ten and ones describe the same number?

Answers

Answer 1
Answer:
its just the form of counting and not necessarily the different number
Answer 2
Answer:

Final answer:

Both ways of writing numbers as tens and ones describe the same number because our counting system is based on powers of ten. This means that each place in our numbering system is ten times greater than the place to its right. Scientific and exponential notations simplify arithmetic, making it easier to multiply and divide large and small numbers.

Explanation:

The reason why both ways of writing the numbers as tens and ones describe the same number is because our counting system is essentially based on powers of ten. This powers-of-ten notation effectively means that each place in our numbering system is ten times greater than the place to its right. This principle all stems from human beings starting to count with their ten fingers.

For example, if we consider a number such as 34, this can be expressed as 3 tens and 4 ones. Alternatively, it could also be written in exponential notation as 3x10^1 + 4x10^0, which is still 34. This is because the power (exponent) of 10 correlates with the number of places the decimal point is shifted to give the digit number.

In scientific notation, this makes arithmetic simpler. To multiply two numbers expressed as powers of ten, you only need to multiply the numbers out front and then add the exponents. This way of counting and doing arithmetic is not only easier to write but also simplifies the multiplication and division of large and small numbers.

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The welding rate of a third robot is represented by the equation w = 10.8t, where w represents the number of welding tasks and t represents the time in minutes. How does it compare to the other two?

Answers

The equation w = 10.8t is a proportional equation where the constant of proportionality is 10.8.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 9 is an equation.

We have,

w = 10.8t

Where w is the number of wielding tasks and t is the time it takes.

Now,

W is proportional to t.

The constant of proportionality is 10.8.

Thus,

The number of welding is proportional to the time it takes.

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Answer:

In some cases unemployment rates increase with the level of education of the ... not only provides skills for performing different vocational tasks, but also identifies and ... Similarly some- times model firm comparison methods are used to derive the ... The third step is the estimation of labour productivity by economic sector for

Step-by-step explanation:

Help solve mathematics question, please. Photo.

Answers

Well there is actually 2 answers because the first one ( -5,0 ) Will work,.... And also the ( 0,-5 ) Also goes hand and hand with what the equation is asking. :) Give that a try. If you think otherwise stick with your gut feeling :)
The problems are in the attached files.

The fat content for seven different sandwiches at a restaurant is 42, 61, 13, 9, 12, 42, and 62. Find the mean, median and mode of the fat contents.

Answers

The mode of the given data set is 42, becuase mode is define as the number with the must number of responses or result.
The mean of the given data set is 26.89, because it is define as the average of the data set
The median of the data set is 42, it is define as the middle figure when the data set is already arrange ascending or descending.

Answer: answer is in explanation

Step-by-step explanation:

mean: 34.43

Median: 42

Mode:42

100 students take a course pass/fail. If they pass they get 4 points towards their GPA, if they fail they get 0. If 90 students pass, what is the mean and standard deviation (to 1 decimal) of the points earned?Mean: ________a0

Standard Deviation:________ a1

Answers

Formulas
Mean = total sum of points / # of data
[Stantard deviation] ^ 2 = {Sum of [every data - mean]^2 } / [number of data - 1]

Procedure:

Mean = total sum of points / # of data

Total sum of points = point of pass + point of fail

points of pass = 90*4 = 360
point of fail = 10*0 = 0
Total sum of points = 360

Number of data = 100

Mean = 360/100 = 3.6

[Stantard deviation] ^ 2 = {Sum of [every data - mean]^2 } / [number of data - 1]

[Sum of every data - mean]^2  = 90*[4 -3.6]^2 + 10* [0 - 3.6]^2 = 14.4 + 129.6 = 144

 [Stantard deviation] ^ 2 = [144]/[100-1] =144/99

Standar deviation = √(144/99) = 1.206


A square has a perimeter of 12 cm. What is its area?9 cm 2
18 cm 2
36 cm 2
144 cm 2

Answers

Hey there, the formula is A=a², and P=4a. Let's solve for a, A=1/16p²=1/16*12²=9cm², Therefore, the answer is 9 cm 2

Solving Trig. Equations:

csc^2x-2cot^2x=0

Answers

csc^2x-2cot^2x=0;\ D:x\neq k\pi\ (k\in\mathbb{Z})\n\n(1)/(sin^2x)-2\cdot(cos^2x)/(sin^2x)=0\n\n(1-2cos^2x)/(sin^2x)=0\iff 1-2cos^2x=0\n\n-2cos^2x=-1\ \ \ /:(-2)\n\ncos^2x=(1)/(2)\n\ncosx=\sqrt(1)/(2)\ \vee\ cosx=-\sqrt(1)/(2)\n\ncosx=(\sqrt2)/(2)\ \vee\ cosx=-(\sqrt2)/(2)


x=(\pi)/(4)+2k\pi\ \vee\ x=-(\pi)/(4)+2k\pi\ \vee\ x=(3\pi)/(4)+2k\pi\ \vee\ x=-(3\pi)/(4)+2k\pi\n\n\nAnswer:x=(\pi)/(4)+(k\pi)/(2)\ (k\in\mathbb{Z})
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