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3 years ago

If a, b, and c are prime numbers, do (a + b.and c have a common factor that is greater than 1 ?

1 answer:

8 0

Let's do the math. In the example a =2, b = 3, c = 5. If we are trying to see if the sum of these numbers has a common factor more than 1 do the math. 2 + 3 + 5 = 10. Ten has four factors which are 1, 2, 5, and 10. So the answer to your question is yes.

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The perimeter of a parallelogram is 68 IN. One side measures 14 In. What are the lengths of the other 3 sides?

vitfil [10]

Answer:

14 in (short side), and 20 in (long side)

Step-by-step explanation:

add sides

4 0

2 years ago

The volume of a sphere whose diameter is 18 centimeters is

Akimi4 [234]

Answer:

volume before reducing is 8 times the volume after reducing

Step-by-step explanation:

volume before reducing=

V=4/3πr³=

V=4/3π(9)³=972π cm³

diameter reduced to half=18/2=9 cm

radius=d/2=9/2=4.5 cm

volume of sphere when diameter reduced by 1/2=

V=4/3πr³

v=4/3 (π)(4.5)³=121.5π

<h2>volume before reducing is 8 times the volume after reducing</h2>

5 0

3 years ago

The population of bacteria in a culture doubles every 14 hours. How long will it take for

Snezhnost [94]

Answer: 22 hours 11 minutes

Step-by-step explanation:

$P=P_o\cdot e^{(kt)}\\\\\text{Since the initial population is doubled in 14 hours, then:}\\2P_o=P_o\cdot e^{k\cdot 14}\\2=e^{14k}\\ln\ 2=ln\ e^{14k}\\ln\ 2=14k\\\\\dfrac{ln\ 2}{14}=k\\\\0.0495=k\\\\\\\text{Now that the k-value has been determined, we can find the time when the}\\\text{population is tripled:}\\3P_o=P_o\cdot e^{0.0495t}\\3=e^{0.0495t}\\ln\ 3=ln\ e^{0.0495t}\\ln\ 3=0.0495t\\\\\dfrac{ln\ 3}{0.0495}=5\\\\22.19=t\\\\22\ hrs +0.19\ hrs$

$22\ hours + \bigg[\dfrac{19}{100}=\dfrac{x}{60}\bigg]\\\\22\ hours + 11\ minutes$

4 0

3 years ago

Find the measure of angle 1 60 degrees 72 degrees 36 degrees 54 degrees

GarryVolchara [31]

The sum of all angles (around the black dot) is 360°

All 5 angles (if you forget the red line) are the same; so each angle is 360°/5 = 72°

So Angle 1 is 72°

3 0

4 years ago

What is the median, first quartile third quartile and interquartile of 38 46 55 56 558 59 61 65 67 75

ipn [44]

Answer:

Median = 58.5

Q1 = 55

Q3 = 65

Interquartile = 10

Step-by-step explanation:

first let’s correct the data set :

It’s 38 46 55 56 58 59 61 65 67 75 not 38 46 55 56 558 59 61 65 67 75

Data set : 38 46 55 56 58 59 61 65 67 75

Median:

After we put Our data set from Smallest to largest

we define the median as the middle number of the data set but our set consists of an even number which is 10

In this case the median is the average of the two middle numbers which are the 5th and 6th numbers

38 46 55 56 [58 59] 61 65 67 75

Then

Median = (58+59)/2 = 117/2 = 58.5

quartile 1 : It’s just the median of the lower set of numbers which means it’s the median of : 38 46 55 56 58

Then Q1 = 55 because it’s the middle number.

quartile 3 : It’s just the median of the upper set of numbers which means it’s the median of : 59 61 65 67 75

Then Q3 = 65 (Easy to spot)

Interquartile = Q3 - Q1 = 65 - 55 = 10

3 0

3 years ago