.For any positive integer n, prove that n^3 - n is divisible by 6. ​

Answer:

The answers would be Kendrick and Cardi.

Step-by-step explanation:

J. Cole is wrong since it's impossible to tell if any cities got exactly 30 inches of rainfall, and Nas is wrong because only 10/25 of the cities received over 34 inches of rainfall.

Kendrick is right because there were exactly 15 cities with rainfall of 33 inches or less, and Cardi is right because 8% (2) of the cities recieved 25-27 inches of rainfall.

Answer:Kendrick and Cardi

Step-by-step explanation:

2+3+10=15

2 is 8% of 25

Answer:

6/35

Step-by-step explanation:

so he ate 2/5 first day, and the 3/7 the other day, so we need to add the 3/7 to 2/5.

they had to have the same number as their denominator.

so we gonna multiply (5) (3) and (5) (7) and also (7) (2) and (7) (5)

then we have 14/35 and 15/35 so we can add them together to find out 29/35

then we minus it from 35/35 to find out how much is left

35/35 - 29/35 is 6/35 , which is our answer

Answer:

  585

Step-by-step explanation:

This sort of problem can be solved using a 2-way table that categorizes tourists by combination of destinations. Of the four possible combinations, one is ruled out (China, but not India). We can determine percentages and numbers for the combinations of interest using the given data.

__

80% have been to India, so 20% have not. All of those have also not been to China. Since tourists in that category number 260, there must be ...

  260/20% = 1300 . . . tourists surveyed

Of the 80% who have been to India, 35% have been to China. That leaves 45% who have been to India, but not China. This number is ...

  45% × 1300 = 585

The number of tourists who have been to India, but not China, is 585.

Based on the calculations, the most likely value of t is equal to 2.2.

Given the following data:

A null hypothesis ([tex]H_0[/tex]) can be defined the opposite of an alternate hypothesis ([tex]H_a[/tex]) and it asserts that two (2) possibilities are the same.

For the one-tail test, we would reject the null hypothesis ([tex]H_0[/tex]) when the p-value is lesser than the value of [tex]\alpha[/tex];

[tex]H_o: P(Z > |\delta|) < 0.02[/tex]

For the two-tail test, we would fail to reject the null hypothesis ([tex]H_0[/tex]) when the p-value is greater than the value of [tex]\alpha[/tex];

[tex]H_o: 2P(Z > |z|) > 0.02\\\\H_o: P(Z > |z|) > 0.01[/tex]

Next, we would determine the positive value of z-score that satisfies this expression;

[tex]0.01 < P(Z < z) < 0.02\\\\[/tex]

From the z-table, we have:

[tex]P(Z > 2.326)\;and\; P(Z > 2.054)\\\\2.054 < z < 2.326[/tex]

Therefore, t = 2.2.

Read more on null hypothesis here: https://brainly.com/question/14913351

Answer:

AB ≈ 6.53

Step-by-step explanation:

using the cosine ratio in the right triangle

cos40° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{5}{AB}[/tex] ( multiply both sides by AB )

AB × cos40° = 5 ( divide both sides by cos40° )

AB = [tex]\frac{5}{cos40}[/tex] ≈ 6.53 ( to the nearest hundredth )

1/18

Step-by-step explanation:

[tex] \frac{1}{3} \times \frac{1}{6} = \frac{1}{18} [/tex]

Answer:

here my answer

Step-by-step explanation:

hope this helps

[tex]\dfrac 84 \times \dfrac 34\\\\\\=2 \times \dfrac 34\\\\\\=\dfrac 32\\\\\\=1.5[/tex]

Step-by-step explanation:

First divide 8 by 4 and 3 by 4

it will be 2×0.75=1.5

[tex]\bf \colorbox{black} {\bf {\textcolor{blue}{topic= }{ \bf { \textcolor{orange}{mathematics= }{ \bf{ \textcolor{cyan}{answer = }}}}}}}[/tex]

3a+2(4a-b)=

3a+8a-2b=

[tex] \bf \textcolor{green}{ \underbrace{11a - 2b}}[/tex]

Answer:

Round the 67 to 70, add the $15 and the $3 and then multiply the 2 answers.

Round 67 to 70. Multiply 70 by 15 and 70 by 3 and then add the answers.

Step-by-step explanation:

you get the same answer both ways.

Answer:

20% of 30

= 20/100 * 30

= 6

hence 6 students recieved A grade

Answer:

61

Step-by-step explanation:

By the triangle midsegment theorem, 2(SP)=RQ.

So, 2(x-16)=x+29, meaning x=61.

Step-by-step explanation:

if its x13^2-5=0 then 5/169

but if its x13*2-5=0 then 1.07

Answer:

72%

Step-by-step explanation:

We have 10 sudents in class 1 and 40 in the other for a total of 50 students.

The 10 in class 1 had a mean of 80 so we do 80x10=800

The mean of the class of 40 is 70, so we do 40x70=2800

we add both of those together to get 3600 then we divide that by 50 because there are 50 students in total.

3600/50=72.

Answer:

I think the answer is 4 or am I wrong please I don't understand

Answer:

so i wrote the steps but not the answers, if you want i can write the answers too

Step-by-step explanation:

hello! so here all you have to do is substitute the given points of x to the equation. then you put two points on the graph. (two points on each graph) i can write the answers if you want, but please try first! if you cant ill help some more and show how to do it.

Answer:1.25

Step-by-step explanation:5/1/4=1.25

Answer:

y = - 4

Step-by-step explanation:

x = - 2

3x - 2y = 2

substitute x = - 2 into 3x - 2y = 2

3(- 2) - 2y = 2 ← step 1

- 6 - 2y = 2 ( add 6 to both sides ) ← step 2

- 2y = 8 ( divide both sides by - 2 )

y = - 4

Answer:

The ratio of red tiles to blue tiles is 1 to 4.

Step-by-step explanation:

Since 1/5 of the tiles are red, 4/5 of the tiles are blue, giving the ratio of red tiles to blue tiles as 1 to 4.

Answer:

4.6cm

Step-by-step explanation:

5.4 is the length of one side and if you have 2 sides that are equal you double that

5.4 x 2 = 10.8

15.4 - 10.8 = 4.6cm

Answer & Step-by-step explanation:

a. 4x + 3 {sum means add the numbers together}

b. [tex]\frac{5}{9 + y}[/tex]  {quotient means divided by}

c. [tex]\frac{7}{y}[/tex]

Answer:

fgy8errrbtthy333eeeee[tex]x^{2} 33\pi \sqrt[n]{x} \int\limits^a_b {x} \, dx[/tex]r4g344myngívr3vh57744kpuiv2224gpo48

Step-by-step explanation:

uyrooou

Answer:

x-1 is ur answer :)

Step-by-step explanation:

Answer:

A. y = 2x + 2

Step-by-step explanation:

For this function....

f(0) = 2

f(1) = 4

f(2) = 6

f(3) = 8

I hope this helps!

Answer: total books = 8k

Step-by-step explanation:

k = books on each shelf

total books = bookcases * shelves per bookcase * books per shelf (k)

total books = 1 * 8 * k

total books = 8k

Answer:

8k

Step-by-step explanation:

To find the total number of books, take the number of shelves and multiply by the number of books on each shelf

8*k

The total number of books is 8k

Answer:

79, 80, 81

Step-by-step explanation:

Creating an equation.

let a = first number , a + 1 = second number and a + 2 = third number

the sum of these three consecutive numbers is 240

this means that , a + ( a + 1 ) + ( a + 2 ) = 240

Solving for x using the equation created.

a + ( a + 1 ) + ( a + 2 ) = 240

==> remove parenthesis

a + a + 1 + a + 2 = 240

==> combine like terms

3a + 3 = 240

==> subtract 3 from both sides

3a = 237

==> divide both sides by 3

a = 79

Finding the 3 numbers

First number = a

a = 79 so first = 79

Second number = a + 1

a = 79 so second number = 79 + 1 = 80

Third number = a + 2

a = 79 so third number = 79 + 2 = 81

The three numbers are 79, 80 and 81

Answer:

79+80+81=240

Step-by-step explanation:

240/3=80

take 1 away from 80 and add 1 to 80

Answer:

line

Step-by-step explanation:

A line is a set of points that extends infinitely in both directions.

Answer:

7

Step-by-step explanation:

1. Solve for x in [tex]x^2 = 3x - 1[/tex].

[tex]x=\frac{3+ \sqrt{5}}{2} ,\frac{3- \sqrt{5}}{2}[/tex]

2. Substitute [tex]x=\frac{3+ \sqrt{5}}{2} ,\frac{3- \sqrt{5}}{2}[/tex] into [tex]x^2 + \frac{1}{x^2} = y[/tex].

[tex]\frac{(3+\sqrt{5})^2}{(2,2(3-\sqrt{5}))^2} + \frac{(2,2(3-\sqrt{5}))^2}{(3 + \sqrt{5})^2} = y[/tex]

3. Solve for y in [tex]\frac{(3+\sqrt{5})^2}{(2,2(3-\sqrt{5}))^2} + \frac{(2,2(3-\sqrt{5}))^2}{(3 + \sqrt{5})^2} = y[/tex]

[tex]y=\frac{(3+\sqrt{5})^2}{(2,2(3-\sqrt{5}))^2} + \frac{(2,2(3-\sqrt{5}))^2}{(3 + \sqrt{5})^2}[/tex]

4. Therefore,

[tex]x=\frac{3 + \sqrt{5} }{2}, \frac{3-\sqrt{5}}{2}\\y=\frac{(3+\sqrt{5})^2}{(2,2(3-\sqrt{5}))^2} + \frac{(2,2(3-\sqrt{5}))^2}{(3 + \sqrt{5})^2}[/tex]

............

[tex]x= \frac{3-\sqrt{5}}{2}[/tex]≈[tex]0.381966011, y=7[/tex]

[tex]x= \frac{\sqrt{5}+3}{2}[/tex]≈[tex]2.618033989, y=7[/tex]

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Please rate and click the Thanks button if it helped you out. Brainliest would be MUCH appreciated. Have a great day!

Stay Brainy!

−Kallmekrish

The best way to predict the future is to create it.

- Abraham Lincoln, Past U.S. President

Answer:

7

Step-by-step explanation:

Given equation:  [tex]x^2=3x-1[/tex]

Rearrange so that it is equal to zero:

[tex]\implies x^2-3x+1=0[/tex]

Quadratic formula

[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when}\:ax^2+bx+c=0[/tex]

Using the quadratic formula to solve the given equation:

[tex]\implies x=\dfrac{-(-3) \pm \sqrt{(-3)^2-4(1)(1)} }{2(1)}[/tex]

[tex]\implies x=\dfrac{3 \pm \sqrt{5}}{2}[/tex]

[tex]\implies x^2=\dfrac{7 \pm 3\sqrt{5}}{2}[/tex]

Substituting this into [tex]x^2+\dfrac{1}{x^2}[/tex]

[tex]\implies \dfrac{7\pm3\sqrt{5}}{2}+\dfrac{1}{\dfrac{7\pm3\sqrt{5}}{2}}[/tex]

[tex]\implies \dfrac{7\pm3\sqrt{5}}{2}+\dfrac{2}{7\pm3\sqrt{5}}[/tex]

[tex]\implies \dfrac{(7\pm3\sqrt{5})(7\pm3\sqrt{5})}{2(7\pm3\sqrt{5})}+\dfrac{4}{2(7\pm3\sqrt{5})}[/tex]

[tex]\implies \dfrac{(7\pm3\sqrt{5})(7\pm3\sqrt{5})+4}{2(7\pm3\sqrt{5})}[/tex]

[tex]\implies \dfrac{49\pm42\sqrt{5}+45+4}{2(7\pm3\sqrt{5})}[/tex]

[tex]\implies \dfrac{98\pm42\sqrt{5}}{2(7\pm3\sqrt{5})}[/tex]

[tex]\implies \dfrac{14(7\pm3\sqrt{5})}{2(7\pm3\sqrt{5})}[/tex]

[tex]\implies \dfrac{14}{2}[/tex]

[tex]\implies 7[/tex]