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2 years ago

39 POINTS !! PLEASE ANSWER THIS QUESTION !! THANK U SO MUCH I WILL GIVE U BRIANLIEST !!

Mathematics

2 answers:

Sergeu [11.5K]2 years ago

3 0

Answer:

1st, third, fifth

Step-by-step explanation:

sqrt(3) is irrational, so dividing it by 2 won't do anything

1/3 is rational

54 is not a perfect cube, so it's irrational

27^{1/3} = cbrt(27)=3, rational

sqrt(0.25)=0.5. 0.5*0.5=0.25. rational

pi is irrational(3.1415926535897932384626433832...)

Igoryamba2 years ago

3 0

Answer:

1, 3, and 5 are irrational.

Step-by-step explanation:

$\frac{\sqrt{3} }{2}$ is irrational because the square root of 3 is irrational, and if you divide it by 2, it will still be irrational!

2 is rational: the definition of a rational number is a number that can be expressed in the form a/b, where b is nonzero.

3 is not rational: 54 is not a perfect cube, therefore, its cube root will not be rational.

4 is rational. The square root of 0.25 is 0.5, which can be expressed in the form a/b, b is nonzero. 0.5 = 1/2!

5 is irrational. Pi is a famous irrational number, because it goes on forever without a pattern!

Hope this helps :) If you have any questions or concerns please feel free to reach out to me!

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cynthia invests some money in a bank which pays 5% compound interest per year. She wants it to be worth over £8000 at the end of

exis [7]

Answer:

The smallest amount is $\£6,911$

Step-by-step explanation:

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$t=3\ years\\ A=\£8,000\\ r=5\%=5/100=0.05\\n=1$

substitute in the formula above

$8,000=P(1+\frac{0.05}{1})^{1*3}$

solve for P

$8,000=P(1.05)^{3}$

$P=8,000/(1.05)^{3}$

$P=\£6,910.70$

Round to the nearest pound she can invest

The smallest amount is $\£6,911$

6 0

2 years ago

Fractional indices pls help

bulgar [2K]

Answer:

Formula used :

(a^m)^n = a^(m×n)
a^m × a^n = a^(m+n)

$27 \times {9}^{3x} = {3}^{k} \\ {3}^{3} \times { {(3}^{2}) }^{3x} = {3}^{k} \\ {3}^{k} = {3}^{3} \times {3}^{(2 \times 3x)} \\ {3}^{k} = {3}^{3} \times {3}^{6x} \\ {3}^{k} = {3}^{(6x + 3)} \\ \boxed{k = 6x + 3}$

<u>k = (6x+3)</u> is the right answer.

5 0

2 years ago

Work out 1 3/4 x 4 1/6

sattari [20]

Convert mixed number to improper fraction:

$1\dfrac{3}{4}=\dfrac{1\cdot4+3}{4}=\dfrac{4+3}{4}=\dfrac{7}{4}\\\\4\dfrac{1}{6}=\dfrac{4\cdot6+1}{6}=\dfrac{24+1}{6}=\dfrac{25}{6}\\\\1\dfrac{3}{4}\times4\dfrac{1}{6}=\dfrac{7}{4}\times\dfrac{25}{6}=\dfrac{7\times25}{4\times6}=\dfrac{175}{24}=\dfrac{168+7}{24}=7\dfrac{7}{24}$

8 0

2 years ago

An office that dispenses automotive license plates has divided its customers into categories to level the office workload. Custo

grigory [225]

Answer:

UNIF(2.66,3.33) minutes for all customer types.

Step-by-step explanation:

In the problem above, it was stated that the office arranged its customers into different sections to ensure optimum performance and minimize workload. Furthermore, there was a service time of UNIF(8,10) minutes for everyone. Since there are only three different types of customers, the service time can be estimated as UNIF(8/3,10/3) minutes = UNIF(2.66,3.33) minutes.

6 0

2 years ago

In a fruit punch drink, the 3 ingredients are apple juice, orange juice and cranberry juice. If 2/7 of

Sladkaya [172]

Answer:

3 : 4 : 7

Step-by-step explanation:

apple juice - 2/7 = 4/14

orange juice - 1/2 = 7/14

AJ + OJ = 11/14

this means that 3/14 of the punch is cranberry juice.

cranberry : apple : orange

3 : 4 : 7

8 0

1 year ago