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o-na [289]
2 years ago
9

50 POINTS WILL GIVE BRAINIEST. Which of the following numbers are irrational?

Mathematics
1 answer:
Otrada [13]2 years ago
8 0

Answer:

\sf \dfrac{\pi}{3}\:\:and\:\:\sqrt[\sf 3]{\sf 25}

Step-by-step explanation:

<u>Definitions</u>

Integer: A whole number that can be positive, negative, or zero.

Rational Number: A number that can be expressed as the ratio of two integers (where the denominator does not equal zero).

Irrational Number: A real number that <u>cannot</u> be written as a rational number.

\sf -8.2183 \times 10000=-82183

\implies \sf -8.2183=-\dfrac{82183}{10000}

Therefore, -8.2183 can be expressed as a <u>rational number</u>.

π is an <u>infinite decimal</u>, so it cannot be expressed as a rational number.  

\textsf{Therefore},\:\dfrac{\pi}{3}\:\textsf{is irrational}.

\sqrt[\sf 3]{\sf 25} is an irrational number.

\sf 9+ \sqrt{4}=9+\sqrt{2^2}=9+2=11

As 11 can be expressed as ¹¹/₁ then 9 + √4 is <u>rational</u>.

<u>Conclusion</u>

Therefore, the numbers that are irrational are:

\sf \dfrac{\pi}{3}\:\:and\:\:\sqrt[\sf 3]{\sf 25}

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Please answer correctly !!!!!!!!!! Will mark brainliest !!!!!!!!!!!!
Leto [7]

Answer:

see explanation

Step-by-step explanation:

(1)

Given

g(r) = (r + 14)² - 49

To obtain the zeros, let g(r) = 0 , that is

(r + 14)² - 49 = 0 ( add 49 to both sides )

(r + 14)² = 49 ( take the square root of both sides )

r + 14 = ± \sqrt{49} = ± 7 ( subtract 14 from both sides )

r = - 14 ± 7, then

r = - 14 - 7 = - 21 ← smaller r

r = - 14 + 7 = - 7 ← larger r

(2)

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

g(r) = (r + 14)² - 49 ← is in vertex form

with vertex = (- 14, - 49 )

4 0
3 years ago
Drag the tiles to the correct boxes to complete the pairs.
Ne4ueva [31]

Answer:

Part 1) -1.25 -------> 2.75/(-2.2)

Part 2) -4\frac{1}{3} --------> (-2\frac{3}{5}) / (\frac{3}{5})

Part 3) \frac{2}{3} ------> (-\frac{10}{17}) / (-\frac{15}{17})

Part 4) 3 ------> (2\frac{1}{4}) / (\frac{3}{4})

Step-by-step explanation:

Part 1) we have

2.75/(-2.2)

To calculate the division problem convert the decimal number to fraction number

2.75=275/100\\ -2.2=-22/10      

so

(275/100)/(-22/10)

Remember that

Since division is the opposite of multiplication, you can turn this division problem into a multiplication problem by multiplying the top fraction by the reciprocal of the bottom fraction

(275/100)/(-22/10)=(275/100)*(-10/22)=-(275*10)/(22*100)=-(275)/(220)

Simplify

Divide by 22 both numerator and denominator

-(275)/(220)=-125/100=-1.25

Part 2) we have

(-2\frac{3}{5}) / (\frac{3}{5})

To calculate the division problem convert the mixed number to an improper fraction  

(-2\frac{3}{5})=-\frac{2*5+3}{5}=-\frac{13}{5}

so

(-\frac{13}{5}) / (\frac{3}{5})

Since division is the opposite of multiplication, you can turn this division problem into a multiplication problem by multiplying the top fraction by the reciprocal of the bottom fraction

(-\frac{13}{5}) / (\frac{3}{5})=(-\frac{13}{5})*(\frac{5}{3})=-\frac{13*5}{5*3}=-\frac{13}{3}

Convert to mixed number

-\frac{13}{3}=-(\frac{12}{3}+\frac{1}{3})=-4\frac{1}{3}

Part 3) we have

(-\frac{10}{17}) / (-\frac{15}{17})

Since division is the opposite of multiplication, you can turn this division problem into a multiplication problem by multiplying the top fraction by the reciprocal of the bottom fraction

(-\frac{10}{17}) / (-\frac{15}{17})=(-\frac{10}{17})*(-\frac{17}{15})=\frac{10*17}{17*15}=\frac{10}{15}

Simplify

Divide by 5 both numerator and denominator

\frac{10}{15}=\frac{2}{3}

Part 4) we have

(2\frac{1}{4}) / (\frac{3}{4})

To calculate the division problem convert the mixed number to an improper fraction  

(2\frac{1}{4})=\frac{2*4+1}{4}=\frac{9}{4}

so

(\frac{9}{4}) / (\frac{3}{4})

Since division is the opposite of multiplication, you can turn this division problem into a multiplication problem by multiplying the top fraction by the reciprocal of the bottom fraction

(\frac{9}{4}) / (\frac{3}{4})=(\frac{9}{4})*(\frac{4}{3})=\frac{9*4}{4*3}=\frac{9}{3}=3

8 0
3 years ago
Please help me with 19 and 20 please
lesya [120]

9514 1404 393

Answer:

  19. B -- continued, but modest ...

Step-by-step explanation:

19. There is no decline or decrease indicated on this graph. If growth were exponential, the graph would be concave upward, which it is not. There is continued growth indicated.

__

20. The percentage change from 2005 to 2010 is ...

  (60 -20)/20 × 100% = 2 × 100% = 200%

One might compute an average rate of change per year of ...

  200%/(5 yr) = 40%/yr

_____

<em>Additional comment</em>

As with any statement of percentage, you need to be very clear about what the base is.

Here, 100% is the number of farms in 2005, so an increase of 40% per year is an increase by 40% of the number in 2005. That is very different from 40% of the number in the previous year, which is how an annual percentage increase is usually interpreted. (The average annual rate of change is closer to 24% with respect to the previous year's number.)

3 0
3 years ago
Hey:) can you please help me posted picture of question
Kryger [21]
To expand the given expression we proceed as follows:
(6x²-2x-6)(8x²+7x+8)
=6x²(8x²+7x+8)-2x(8x²+7x+8)-6(8x²+7x+8)
=48x⁴+42x³+48x²-16x³-14x²-16x-48x²-42x-48
putting like terms together:
48x⁴+(42x³-16x³)+(48x²-48x²)+(-16x-42x)-48
=48x⁴+26x³+0x²-58x-48
hence the answer is:
48x⁴+26x³-58x-48
6 0
3 years ago
"A day care program has an average daily expense of $75.00. The standard deviation is $5.00. The owner takes a sample of 64 bill
kolbaska11 [484]

Answer:

p=1

Step-by-step explanation:

Given that a day care program has an average daily expense of $75.00. The standard deviation is $5.00.

Sample size = 64

Std error of sample = \frac{5}{\sqrt{64} } \\=0.625

Thus sample mean will follow normal with

(75, 0.625)

Required probability

=P(70

It is almost a certain event with p =1

8 0
3 years ago
Read 2 more answers
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