How is mathematical thinking established? How can we have mathematical thinking?

修改翻译结果

Answers

Answer 1
All I see are the two questions and either mandarine or Japanese
Answer 2

Translate How is mathematical thinking established? How can we have mathematical thinking? in to Chinese.

数学思维是如何建立的? 怎样才能有数学思维?


Related Questions

I have a lot of algebra problems. Someone help me even with this one please!

Answers

Answer: Choice D

The graph will be discrete because there is no such thing as a partial person to sign up, and the booth is set up once each day for sign ups.

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

Explanation:

Let's start with the independent variable d. This acts as the variable x. It's the input. The value of d only takes on positive whole numbers (eg: d = 1, d = 2, d = 3, etc). We cannot have something like d = 2.718

So this bit of evidence shows that our function is discrete. Discrete input values (d) plug into the function to produce corresponding discrete output values (m).

Furthermore, we know that m is discrete because the number of people cannot be a fractional or decimal number. We can't have half a person for instance.

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A quick way to see if a set is discrete or continuous is to ask the question: "is it possible to apply the midpoint formula for ANY two values, and have the output make sense?"

So a set like {1,2,3,4,5,...} is discrete because the midpoint of 2 and 3 is 2.5, but that value is not in the set mentioned.

In other words, discrete sets have "gaps" so to speak, while continuous ones do not.

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Another useful property is that let's say that a < x < b, and x is drawn from the domain set. This reduced set will be finite if we're dealing with discrete data. Eg: The set {1,2,3,4,5,...} has the subset {2,3,4} which is finite and discrete.

In contrast, the subset of real numbers x such that [tex]2 \le x \le 4[/tex] is continuous and this subset is infinitely large (has infinitely many members) because we could have things like 2.718 or 3.14 etc

Plz help me I don’t understand

Answers

Answer:

Step-by-step explanation:

Take two points on the line and find the slope.

(1 , 2)  ; (4 , 4)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\[/tex]

          [tex]=\frac{4-2}{4-1}\\\\=\frac{2}{3}[/tex]

m = 2/3  & (1 , 2)

Slope point form : y - y1 = m(x-x1)

[tex]y - 2 = \frac{2}{3}*(x - 1)\\\\y - 2 =\frac{2}{3}x - \frac{2}{3}\\\\y =\frac{2}{3}x-\frac{2}{3}+2\\\\y = \frac{2}{3}x-\frac{2}{3}+\frac{2*3}{1*3}\\\\y=\frac{2}{3}x-\frac{2}{3}+\frac{6}{3}\\\\y=\frac{2}{3}x+\frac{4}{3}\\\\Multiply \ equation \ by \ 3\\\\3y = 2x + 4\\\\2x - 3y + 4 = 0[/tex]

A bag contains 6 apples and 4 oranges. If you select 5 pieces of fruit without
looking, how many ways can you get 5 apples?

Answers

Answer:

6 I think

Step-by-step explanation:

(05.02)
For the following system, if you isolated x in the first equation to use the Substitution Method, what expression would you substitute into the second equation? (5 points)

−x − 2y = −4
3x + y = 12

−2y − 4
2y − 4
2y + 4
−2y + 4

Answers

Answer:

4th option

Step-by-step explanation:

From

- x - 2y = - 4 ( add x to both sides )

- 2y = x - 4 ( add 4 to both sides )

- 2y + 4 = x , so

Substitute x = - 2y + 4 into the second equation

A student can walk to school in 3/4 of an hour. She can ride to school in 1/6 of that time. What fraction of an hour does it take the student to bike to school?

Answers

Answer:

1/8 of an hour

Step-by-step explanation:

3/4 x 1/6 = 3/24 = 1/8

Hope this helps!

john owns a truck. he rents out the truck with himself as a driver for $75 per hour. last month john earned $6375 how many of hours of work is that for john and his truck.

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it would be 85 hours because 6375÷75=85

If Paul and Steve are both correct, how are the values of the two expressions related?

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Answer:

The two answers would have to be equivalent

Step-by-step explanation:   6  30  8  13

Paul  x + y = 30

Steve a + b = 30       are not the same but are equivalent

Their answers could be the same ratio

Paul  4x + 4y = 120

Steve x + y = 30         again not the same but are equivalent

The triangle below is isosceles. Find the length of side x in simplest radical form with a rational denominator.

Answers

Solution given:

it is a right angled isosceles triangle

so

perpendicular [p]=base[b]=5

hypotenuse [h]=x

we have

by using Pythagoras law

p²+b²=h²

5²+5²=h²

50=h²

h=[tex]\sqrt{50}[/tex]

x=[tex]\bold{5\sqrt{2}}[/tex]

Solve for x. Round to the nearest tenth, if necessary.

Answers

X=3.8

Sin41/2.5 = sin90/x
Sin90 x 2.5 = sin41 x X
Sin90 x 2.5/ sin41
X=3.8

Answer:

3.8106327168

Step-by-step explanation:

x=2.5/sin(41) = 3.81063271676

How many distinct ways can the word EVANESCENCE be arranged if the anagram must end with the letter E?

hint... 10!/2!3!2! = 151,200

Answers

Answer:

151200

Step-by-step explanation:

We can start by essentially taking off the E at the end, meaning that we want to find all the combinations of

EVANESCENC. We can do this because the combinations will have an E at the end by default.

To solve this, we have to figure out the amount of letters and the amount of each letter. There are 10 letters, with 3 E's, 2 C's, 2 N's, 1 S, 1 V, and 1 A. Using the formula [tex]\frac{n!}{n1!n2!...nk!}[/tex] , with n representing the amount of letters and each subset of n representing the amount of each letters, our answer is

[tex]\frac{10!}{3!2!2!1!1!1!} = \frac{10!}{3!2!2!} = 151200[/tex]

Qué medida de tendencia central (llamada a menudo promedio) es la más sensible a valores extremos?

Answers

Respuesta:

Significar

Explicación paso a paso:

Las medidas del centro incluyen la media, la mediana y la moda. La media se obtiene tomando la suma de los valores dividida por el número de valores individuales (frecuencia). La mediana es el percentil 50 de la distribución y la moda es el valor que ocurre con mayor frecuencia si se trata de una distribución. De todas las medidas, la media es la más afectada por la presencia.

Dados los datos:

2,4, 5, 2, 3, 3, 3, 5

La media = Σx / N = 2.3

Modo = 3

Mediana = 2, 2, 3, 3, 3, 4, 5, 5 = 1/2 * nth = 1/2 * 8 = 4to término = 3

Si se agrega un valor extremo: digamos 80

2, 2, 3, 3, 3, 4, 5, 5, 2, 80

Nueva media = Σx / N = 11,88

Mediana = 1/2 (n + 1) th término

Mediana = 1/2 (10) término = 3

Modo = 3

Podemos ver que la inclusión de 80, que es un valor extremo, cambia significativamente el valor medio.

PLS HELP ASAP, I need it in 10 mins. I GIVE 15 PTS !!!! if v1 = (3,-4) and v2 = (2,6) then v1*v2 is equal to which of the following?
A. 30
B. (-12, -24)
C. (6,-24)
D. -18

Answers

It is C. Good luck on ur test!!!!

v₁·v₂ is -18 which is correct option(D)

What are Arithmetic operations?

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that perform arithmetic operation are called arithmetic operators .

Operators which let do basic mathematical calculations

+ Addition operation : Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation : Subtracts right hand operand from left hand operand.

for example 4 -2 = 2

* Multiplication operation : Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation : Divides left hand operand by right hand operand

For example 4/2 = 2

Given that,

v1 = (3,-4) and v2 = (2,6)

To determine v₁·v₂

v₁·v₂ = 3·(2) - 4·(6)

v₁·v₂ = 6 - 24

v₁·v₂ = -18

Hence, the v₁·v₂ is -18.

Learn more about Arithmetic operations here:

brainly.com/question/25834626

#SPJ2

In MQN, m a.
Solve for x. Show all work.
b. Find the measure of <1. Show all work.

Answers

Answer:

were is the problem

Step-by-step explanation:

10 of 10
Work out the area of a rectangle with base, b = 38mm and perimeter, P =
100mm.
b

Answers

Let the height of the rectangle = h

2b + 2h = 100

2(38) + 2h = 100

2h = 100 - 76

h = 12mm

area of rectangle = base x height

= 38 x 12

= 456mm²

Answer:

456mm²

Step-by-step explanation:

using formula;

b/2( P - 2b) = A

substitute values

Need help on this question asap pleasee

Answers

Answer:

option c is correct ,,,,,,

Please help ASAP!!! Tysm :)

Answers

Answer:

Hope that will help you

Step-by-step explanation:

BD = 14.5

g(x)=√8x​
What is the domain of g?

Answers

G=undefined
X:7.74870453
G:7.87334975

la suma de 4 numeros consecutivos es 54 ¿cual es el numero mayor?

Answers

Answer:I don’t speak Spanish so I can’t help

Step-by-step explanation:

the 3 three questions​

Answers

Answer:

Step-by-step explanation:

#2 Should be many to one; the reason for this is when doing functions a proper one will have one input to one output.

#3 Should be D; same reasoning as above.

And sorry I am at a loss for #1.

Can someone help me with this math homework please!

Answers

Answer:

1. [tex]x=2[/tex]

2. Simplify by combining like terms

3. [tex]x=1[/tex]

4. [tex]k=0.5[/tex]

5. [tex]y=3[/tex]

Step-by-step explanation:

1. [tex]2.5(6x-4)=10+4(1.5+0.5x)[/tex]

Distribute within the parenthesis

[tex]15x-10=10+6+2x[/tex]

Combine like terms

[tex]15x-10=16+2x[/tex]

Isolate the variable expression by using the addition/subtraction properties of equality

[tex]13x=26[/tex]

Isolate the variable by using the division/multiplication properties of equality

[tex]x=2[/tex]

2. Like terms are always combined as soon as possible but never before the distributive property is applied.

3. You can find the solution by comparing the tables.

4. [tex]6k+10.5=3k+12[/tex]

Apply the addition/subtraction properties of equality

[tex]3k=1.5[/tex]

Apply the division/multiplication properties of inequality

[tex]k=0.5[/tex]

5. [tex]y+3=-y+9[/tex]

Addition/subtraction properties

[tex]2y=6[/tex]

Division/Multiplication properties

[tex]y=3[/tex]

Solvex - 7x - 34 = 10 halo pls helppppppp

Answers

Answer:

x-7x-34=10

-6x-34=10

Step-by-step explanation:

x=-22/3

x - 7x - 34 = 10
-6x - 34 = 10
-6x = 10 + 34
-6x = 44
x = -22/3

What is the frequency of the graph of y = 1/3 sin(2x)?

Answers

Given:

The sine function is:

[tex]y=\dfrac{1}{3}\sin (2x)[/tex]

To find:

The frequency of the graph of given function.

Solution:

If a sine function is defined as:

[tex]y=A\sin(Bx+C)+D[/tex]

Then, the frequency of the sine function is:

[tex]f=\dfrac{B}{2\pi}[/tex]

We have,

[tex]y=\dfrac{1}{3}\sin (2x)[/tex]

Here, [tex]B=2[/tex]. So, the frequency of the given function is:

[tex]f=\dfrac{2}{2\pi}[/tex]

[tex]f=\dfrac{1}{\pi}[/tex]

Therefore, the correct option is D.



Can someone help with questions 5 -9

Answers

Answer:

THE ANSWER IS UNLIMITED

Step-by-step explanation:

THE REASON IT'S UNLIMITED IS BECAUSE YOU CAN HAVE ALL TYPES OF SHIRTS, FROM JERSEYS TO DRESS SHIRTS, TO T-SHIRTS.

Click on the photo! Needing help ASAP please!♥️

Answers

A
This is like a base form of a prime polynomial
X^2+x+1
Answer: Choice A)  x^4+20x^2-100

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

Explanation:

Choice B has the GCF x we can factor out like so

10x^4-5x^3+70x^2+3x = x(10x^3-5x^2+70x+3)

Showing that choice B is not prime. If a polynomial can be factored, then we consider it not prime. It's analogous to saying a number like 15 isn't prime because 15 = 3*5, ie 15 can be factored into something that doesn't involve 1 as a factor.

In contrast, we consider 7 prime because even though 7 = 1*7, there aren't any other ways to write this integer as a factorization if we don't involve 1.

-----------------------------------

Choice C is a similar story. This time we can factor out 3

3x^2 + 18y = 3(x^2 + 6y)

So we can rule this out as well.

-----------------------------------

Choice D is a bit tricky, but we can use the difference of cubes factoring rule

a^3 - b^3 = (a-b)(a^2+ab+b^2)

where in this case a = x and b = 3y^2

Note how b^3 = (3y^2)^3 = 3^3*(y^2)^3 = 27y^(2*3) = 27y^6

All of this means choice D can be factored and it's not prime either.

------------------------------------

We've ruled out choices B through D. The answer must be choice A.

If you let w = x^2, then w^2 = x^4

The polynomial w^2+20w-100 is prime because setting it equal to zero and solving for w leads to irrational solutions. I'm assuming your teacher wants you to factor over the rational numbers.

Because w^2+20w-100 can't be factored over the rational numbers, neither can x^4+20x^2-100. This confirms that choice A is prime.

Question Progress
-To Progress
Find the equation of the ine shown.

Answers

Answer:

could you show the ine?

Step-by-step explanation:

Find the unknown side length, x. Write your answer in simplest radical form.

A.
15

Answers

Answer:

HEY MATE I HAVE THE SAME QUESTION IN MY SCHOOL AND I HAVE SOLVED IT SO PLZ MARK ME BRAINLIEST.

Step-by-step explanation:

In a right triangle its sides can go with a^2+b^2= c^2

Then a^2+ 8^2= 17^2. a=15 (missing side)

Now 5^2+ 15^2= x^2

250=x^2 ------> 5 square root of 10=x answer b

Consider a binomial experiment. If the number of trials is increased, what happens to the expected value

Answers

Answer:

The expected value is an expression of the weighted average and can be taken as the (arithmetic) mean

As the number of trials is increased in a binomial experiment, the expected values obtained, in each of the set of trials continuously tend to the theoretical expected value

Step-by-step explanation:

BD=16 and AC is the perpendicular bisector of BD

Answers

Answer:

AC =

Step-by-step explanation:

AC = 16/2

= 8

THAT IS THE SOLUTION ABOVE

4c = 3c + 4

my answer :

4c = 4 - 3c
4c = 1c
c = 4/1
c= 4

just checking, Is this Correct? ​

Answers

Answer:

c = 4

See explanation

Step-by-step explanation:

Given:

4c = 3c - 4

Your calculation:

4c = 3c + 4

4c = 4 - 3c

4c = 1c

c = 4/1

c= 4

Correct calculation:

4c = 3c + 4

Collect like terms by subtracting 3c from both sides

4c - 3c = 3c + 4 - 3c

c = 4

Check:

4c = 3c + 4

4(4) = 3(4) + 4

16 = 12 + 4

16 = 16

Therefore,

Your final answer is correct but your method of calculation is not correct

AYUDAAAA, LES DOY CINCO ESTRELLAS SI LO RESUELVEN BIEN

Answers

dividido por la epotenusa es 7 :v

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