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2 years ago

9

Both numbers are prime in which of the following pairs of numbers?

2 answers:

Elden [556K]2 years ago

7 0

Answer:

$\huge{ \boxed{ \sf{5 \: and \: 7}}}$

☪ Question :

☇ Both numbers are prime in which of the following pairs of numbers ?

☐ 5 and 9

☐ 7 and 9

☐ 5 and 6

☑ 5 and 7 ---- Answer !!

☐ 7 and 8

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

☥ Let's explore about prime numbers and composite numbers !!

A prime number is a whole number that only has two factors which are one and itself.
A composite number is a whole number with 3 or more factors.

$\underline{ \text{Still \: confused ?}}$

Alright , Let's check all the options :

☐ 5 and 9

⤿ 5 is a prime number as it can only be divided by 1 and itself but 9 is not a prime number as it can be divided by more than two numbers ( i.e 1 , 3 and 9 )

☐ 7 and 9

⤿ 7 is a prime number as it can only be divided by 1 and itself but 9 is a composite number as it can be divided by 1 , 3 and 9.

☐ 5 and 6

⤿ 5 is a prime number as it can only be divided by 1 and itself but 6 is a composite number as it can be divided by more than two numbers ( i.e 1 , 3 and 6 )

☑ 5 and 7

⤿ Yeah ! 5 and 7 are prime numbers as they only have two factors which are one and itself.

☐ 7 and 8

⤿ 7 is a prime number as it can only be divided by 1 and itself but 8 is a composite number as it can be divided by more than two numbers ( i.e 1 , 2 , 4 and 8 )

Hope I helped!

Have a wonderful day ! ツ

~TheAnimeGirl ♡

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mojhsa [17]2 years ago

7 0

Answer:

D. 5 and 7

Step-by-step explanation:

A 5 and 9 => 9 is not a prime number

B. 7 and 9 => 9 is not a prime number

C. 5 and 6 => 6 is not a prime number

D. 5 and 7

E. 7 and 8 => 8 is not a prime number

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one moving company charges $800 plus $16 per hour another moving company charges $720 plus $21 an hour at what number of hours w

Gekata [30.6K]

800 + 16x = 720 + 21x. Cancel out the 720 to get 80 + 16x = 21x. Subtract 16x from both sides to get 80 = 5x. Divide by 5 to get 16 = x, or x = 16. 16 hours. The charge is 800 + 16(16), = 720 + 21(16) which = 800 + 256 = 720 + 336 which = 1,056 = 1,056. Hope this helped!

6 0

3 years ago

Percent of change 125 is increased to 200

Montano1993 [528]

Answer:

60

Step-by-Step Explanation:

(200-125):125*100 =

(200:125-1)*100 =

160-100 = 60

Now we have: What is the percentage increase/decrease from 125 to 200 = 60

6 0

2 years ago

Read 2 more answers

the half life of c14 is 5730 years. Suppose that wood found at an archeological excavation site contains about 35% as much C14 a

Furkat [3]

Answer:

The wood was cut approximately 8679 years ago.

Step-by-step explanation:

At first we assume that examination occured in 2020. The decay of radioactive isotopes are represented by the following ordinary differential equation:

$\frac{dm}{dt} = -\frac{m}{\tau}$ (Eq. 1)

Where:

$\frac{dm}{dt}$ - First derivative of mass in time, measured in miligrams per year.

$\tau$ - Time constant, measured in years.

$m$ - Mass of the radioactive isotope, measured in miligrams.

Now we obtain the solution of this differential equation:

$\int {\frac{dm}{m} } = -\frac{1}{\tau}\int dt$

$\ln m = -\frac{1}{\tau} + C$

$m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }$ (Eq. 2)

Where:

$m_{o}$ - Initial mass of isotope, measured in miligrams.

$t$ - Time, measured in years.

And time is cleared within the equation:

$t = -\tau \cdot \ln \left[\frac{m(t)}{m_{o}} \right]$

Then, time constant can be found as a function of half-life:

$\tau = \frac{t_{1/2}}{\ln 2}$ (Eq. 3)

If we know that $t_{1/2} = 5730\,yr$ and $\frac{m(t)}{m_{o}} = 0.35$ , then:

$\tau = \frac{5730\,yr}{\ln 2}$

$\tau \approx 8266.643\,yr$

$t = -(8266.643\,yr)\cdot \ln 0.35$

$t \approx 8678.505\,yr$

The wood was cut approximately 8679 years ago.

5 0

3 years ago

Fifty multiplied by the quantity twenty divided by a number n is greater than or equal to two hundred fifty

Fudgin [204]

4 is the correct answer

8 0

3 years ago

Repost of my question i need help quicklyy help plzz

GuDViN [60]

Answer:

According to logarithmic properties.... The right hand side can be written as

log base 7 (180/3).....which is log base 7 60

So according to the question cancel out the log base 7 from both sides....

Then we get 8r + 20 = 60

That is 8r = 40..

That is r = 5......

Therefore the value of r is 5

8 0

2 years ago