classify the following numbers as rational or irrational. √23​

Answer:

12[tex]\sqrt{6}[/tex] + 8[tex]\sqrt{15}[/tex] + 12 + 4[tex]\sqrt{10}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Given

(4[tex]\sqrt{3}[/tex] + 2[tex]\sqrt{2}[/tex] )(3[tex]\sqrt{2}[/tex] + 2[tex]\sqrt{5}[/tex] )

Each term in the second factor is multiplied by each term in the first factor, that is

4[tex]\sqrt{3}[/tex] (3[tex]\sqrt{2}[/tex] + 2[tex]\sqrt{5}[/tex] ) + 2[tex]\sqrt{2}[/tex] (3[tex]\sqrt{2}[/tex] + 2[tex]\sqrt{5}[/tex] ) ← distribute both parenthesis

= 12[tex]\sqrt{6}[/tex] + 8[tex]\sqrt{15}[/tex] + 12 + 4[tex]\sqrt{10}[/tex]

Answer:

|x - 2| = 8

Step-by-step explanation:

The midpoint between -6 and 10 is;

(-6 + 10)/2 = 4/2 = 2

This means that the distance between 2 and either -6 or 10 will be 8.

Now, the absolute value equation will have to say that the distance between x and 2 is 8.

Thus, plugging those numbers into the pattern of |x - m| = b. Where m is the midpoint and b is the distance from midpoint to either values of x.

This gives us the absolute value equation:

|x - 2| = 8

Answer:

6/100

Step-by-step explanation:

Since x% means x/100, that means 6% = 6/100.

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Answer:

x=4+ 2root14/4

by using quadratic formula

Answer:

There are 203069 people in the crowd

Step-by-step explanation:

The first step in solving this problem is to ensure that we are working with the same units throughout the solution process. To do this, we will have to convert 4 miles to feet. (This is because every other unit is in feet).

Note: ( 1 mile =5280 feet)

4 miles = 21120 feet.  

The next step is to calculate the area that the entire parade is occupying. This can be done by multiplying the length of the parade by the breadth. In this case, it will be 21120ft X 5 ft = 105600 square feet.

We can now at this point, find the area occupied by only one person.

if 13 people occupy 25 square feet (5ft X5 ft)

1 person will occupy 25/13 = 1.92 square feet

We can finally get the number of people in the crowd by multiplying the area occupied by the whole crowd by the area of one person. This will be

105600 X 1.92= 203069 people in the crowd

Answer:

101 up on the left

100 up on right

6 across the bottom

Step-by-step explanation:

their is always six along the bottom

up on the right is whateve number the figure is it increase one everytime

101 up on the left because figure one stats with 2 and from their one is added

The solution is

a) The figure will have 100 rows of 6 tiles and 1 row having 1 tile

b) The number of tiles in figure 100 will be 601 tiles

What is Arithmetic Progression?

An arithmetic progression is a sequence of numbers in which each term is derived from the preceding term by adding or subtracting a fixed number called the common difference "d"

The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on. Thus nth term of an AP series is Tn = a + (n - 1) d, where Tₙ = nth term and a = first term. Here d = common difference = Tₙ - Tₙ₋₁

Sum of first n terms of an AP: Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]

Given data ,

Let the figure 100 be represented as = a₁₀₀

Let the number of tiles in the first figure be a₁

The value of a₁ = 7 tiles

Let the number of tiles in the second figure be a₂

The value of a₂ = 13 tiles

So , the common difference of the arithmetic sequence is d

d = second term - first term

d = 13 - 7

d = 6

Now , the value of figure a₁₀₀ is calculated by the formula

Tn = a + (n - 1) d

Substituting the values in the equation , we get

a₁₀₀ = 7 + ( 100 - 1 ) 6

a₁₀₀ = 7 + ( 99 x 6 )

a₁₀₀ = 7 + 594

The value of a₁₀₀ = 601

Therefore , the figure will have 100 rows of 6 tiles and 1 row having 1 tile

And , the total number of tiles in the figure is 601 tiles

Hence , The figure will have 100 rows of 6 tiles and 1 row having 1 tile and

the number of tiles in figure 100 will be 601 tiles

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Answer:

$519.79

Step-by-step explanation:

The formula is:

[tex]PV = P (\frac{1 - ( 1 + r ) ^{-n}}{r})[/tex]

[tex](100+x)\frac{(1+\frac{0.04}{4})^{40}-1 }{\frac{0.04}{4} }(1+\frac{0.04}{4})^{40}[/tex]  [tex]+100\frac{(1+\frac{0.04}{4})^{40}-1 }{\frac{0.04}{4} }=50000[/tex]

[tex](100+x)(\frac{(1+0.01)^{40} -1}{0.01}) (1+0.01)^{40}[/tex] [tex]+(100)(\frac{(1+0.01)^{40} -1}{0.01} )=50000[/tex]

(100+x) [(1.488864 - 1) / 0.01] (1.488864) + (100) [(1.488864 - 1) / 0.01] = 50000

(100+x) [(0.488864 / 0.01)] (1.488864) + (100) (0.488864 / 0.01) = 50000

(100+x) (48.8864) (1.488864) + (100) (48.8864) = 50000

(100+x) (48.886373) (1.488864) + 4888.64 = 50000

(100+x) (72.785161) + 4888.64 = 50000

7278.5161 + 72.785161 x + 4888.64 = 50000

12167.1561  + 72.785161 x  = 50000

72.785161 x  = 50000 - 12167.1561  

72.785161 x  = 37832.8439

x = 37832.8439 / 72.785161

x = 519.787871

x = $519.79

Answer:

Step-by-step explanation:

[tex]Distance_1 = 43.2km\\Litres\:of petrol_1 = 2.4 \:litres\\Distance_2 = ?\\Litres_2 = 1 litre\\\\Use\: Proportion ;\\\\43.2 \:km = 2.4\:litres\\x \:km \:\:\:\:= 1 \:;litres\\\\Cross\:multiply\\\\2.4 \times x= 43.2 \times 1\\2.4x = 43.2\\\\Divide \:both\:sides\:of\:the\:equation\:by\:2.4\\\frac{2.4x}{2.4} = \frac{43.2}{2.4} \\\\x = 18 \: km[/tex]

Answer:

Step-by-step explanation:

To solve this question we use the rules of indices.

That's since the bases are the same and are multiplying we add the exponents

That's

So from the question

We have the final answer as

Hope this helps you

Answer:

b

Step-by-step explanation:

Answer:

  2.53×10^8 liters

Step-by-step explanation:

  (8.65×10^3 L/da)(0.292×10^5 da) ≈ 2.53×10^8 L

Answer:

B

Step-by-step explanation:

The range of a data set is the y-coordinates of the ordered pairs.

So, we have the ordered pairs:

{(-2,1), (0,0), (3,-1), (-1,7), (5,7)}

So, the range will be (the bolded numbers):

{(-2,1), (0,0), (3,-1), (-1,7), (5,7)}

Thus, our answer is:

{-1, 0, 1, 7}

Note that the range should be in ascending order.

Also note that even though 7 appears twice, 7 is 7, so we only put one 7.

The answer is B.

Answer:

no

Step-by-step explanation:

the sum of interior angles of a triangle should be 180

so the three possible angles would be 90 degree 60 degree and 30 degree

Answer:

[tex]\huge\boxed{\sf NO.}[/tex]

Step-by-step explanation:

The interior angles of a triangle must be adding to 180 degrees for it to "be" a triangle.

Let's check if 90°,60° and 60° are adding to 180°.

=> 90+60+60

=> 210°  > 180°

Since they are not adding to 180°, a triangle with the given angles cannot be formed.

Answer:

23 is the prime number

How?

▶

21 is divisible by 3

21 is divisible by 322 is divisible by 2

21 is divisible by 322 is divisible by 223 is not divisible by any no.

21 is divisible by 322 is divisible by 223 is not divisible by any no. 24 is divisible by 2

Step-by-step explanation:

[tex]\huge\underline\bold\blue{ƛƝƧƜЄƦ}[/tex]

prime numbers - prime numbers numbers are those numbers who have only one factor 1 and that no it self

Hope it helps u mate

When you're solving an equation, there are three possibilities.  Two of which are chosen if your statement is true or not.

If you're able to get x alone, there is one solution.  However, If all of the variables are eliminated and you're left with a false statement, that will be no solution. Example: 1=5? False.

If all of the variables are eliminated and you're left with a true statement, that solution is all real numbers. Example: 5=5? True.

Answer:

2/5 is already a fraction.... it's an improper fraction.

Answer:

15.3

Step-by-step explanation:

im not 100 percent sure if this is correct but i used a calculator so...

Is that the question?

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

 Hi my lil bunny!

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

         ❀    [tex]\boxed{172}[/tex]   ❀

[tex]\left(5-1)^3+(11-2\right)^2+(7-4)^3[/tex]

[tex]=4^3 + (11 - 2)^2 + ( 7 - 4)^3[/tex]

[tex]=64 + (11 - 2)^2 + ( 7 - 4)^3[/tex]

[tex]= 64 + 9^2 + ( 7 - 4 )^3[/tex]

[tex]= 64 + 81 + ( 7 - 4 )^3[/tex]

[tex]= 145 + ( 7 - 4)^3[/tex]

[tex]= 145 + 3^3[/tex]

[tex]= 145 + 27[/tex]

[tex]= 172[/tex]

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Have a great day/night!

❀*May*❀

Answer:

13 minutes

Step-by-step explanation:

Person 1: 1 min

Person 2: 2 min

Person 3: 7 min

Person 4: 10 min

Person 1, 3, and 4 cross first, which will take 10 minutes.

Then, Person 1 comes back, taking 1 minute.

Person 1 and Person 2 cross the river, taking 2 minutes.

10 + 1 + 2 = 13 minutes.

Answer:

The amount by which the sugar canister is smaller than the flour canister is 136 in³

Step-by-step explanation:

The dimensions of the flour canister = 5 and 1/2 inches by 4 inches by 10 inches

(5 and 1/2 = (5 1/2))

(3 and 1/2 = (3 1/2))

The dimensions of the smaller sugar canister = 3 and 1/2 inches by 3 inches by 8 inches

The volume of the rectangular prism = Length × Width × Height

∴ The volume of the flour canister = (5 1/2) × 4× 10 = 220 in.³

The volume of the sugar canister = (3 1/2) × 3 × 8= 84 in.³

The difference in volume between the flour canister and the sugar canister is given as follows;

220 in.³ - 84 in.³ = 136 in.³

The amount by which the sugar canister is smaller than the flour canister = 136 in.³.

Answer:

Yeah, what they said above.

Step-by-step explanation:

Answer:

x=4

y=-2

z=1

Step-by-step explanation:

x+y+z=3

-x+3y+2z=-8

x=4z

so

4z+y+z=3,

y+5z=3

y=3-5z

-4z+3y+2z=-8

3y-2z=-8

3(3-5z)-2z=-8

9-15z-2z=-8

-17z=-8-9

-17z=-17

z=1

x=4z=4×1=4

y=3-5z=3-5×1=3-5=-2

Answer:

10.336.

Step-by-step explanation:

There are 12 inches in 1 foot so 51.68 ft/hr

= 51.68 * 12 in/hr.

Now there are 60 minutes in an hour so the speed in inches/minute

= 51.68 * 12 / 60

= 10.336.

Answer:

The change of elevation during each minute is -5 feet per minute

Step-by-step explanation:

Here in this question, we are interested in calculating the change in elevation during each minute given that there was a total change of -30 feet in six minutes altogether.

Now, to calculate the change in elevation during each minute, we need to assume that the change in elevation per each of the minutes is the same.

So to calculate the change in elevation during each of the six minutes, we simply divide the total change in elevation by the total number of minutes.

Mathematically, that would be -30 feet/6 minutes = -5 feet per minute

Answer:

it is -2

Step-by-step explanation:

Answer:

12 x^4 y^2

Step-by-step explanation:

6x^2y^2  and 12 x^4 y

First find the least common multiple of the coefficients

6 and 12

12 is the smallest number that they both go into

Then find the least common multiple of the x terms

x^2 and x^4

x^4 is the smallest  that they both go into

Then find the least common multiple of the y terms

y^2 and y

y^2 is the smallest  that they both go into

The least common multiple is

12 x^4 y^2

Answer:

12x4y2

Step-by-step explanation:

lcm is the smallest expression that is divisible by both expressions

Answer:

Parallel lines never intersect, but they must be in the same plane. The definition does not require the undefined term point, but it does require plane. Because they intersect, perpendicular lines must be coplanar; consequently, plane is not required in the definition.

Step-by-step explanation:

Answer:

MP =  Rs. 1500

SP =  Rs. 1230

Step-by-step explanation:

Let the Cost Price (CP) be x

Then Market Price (MP):

Discounted Selling Price (SP):

Since the difference between CP and SP is Rs.20:

Then:

and

Answer:

±3

Step-by-step explanation:

4 - 7 = -3

10 - 7 = 3

Answer:

_____________________________________

The annual interest rate, sometimes called the standard annual interest rate or base rate, is the percentage value you usually see first when comparing financial products. It's the basic interest that you'll pay on your loan or earn on your savings account without taking compounding or fees into consideration.

_____________________________________