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finlep [7]
3 years ago
9

a culture started with 6000 bacteria. after 5 hours it grew 6600 bacteria. predict how many bacteria will be present after 18 ho

urs?
Mathematics
1 answer:
kari74 [83]3 years ago
3 0
6600-6000=600
600:5=120 per hour
120*18=2160 bacteria after 18h
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Consider the extremely large integers $$x = 2\cdot 3\cdot 5\cdot 7\cdot 11\cdot 13\cdot 17\cdot 19\cdot 23\cdot 29$$ and $$y = 2
-BARSIC- [3]

Answer:

Hence, greatest common divisor of x and y is : 29.

Step-by-step explanation:

We are given:

We are given the large integers 'x' and 'y' as:

x=2×3×5×7×11×13×17×19×23×29

We could clearly see that x is the multiplication of all the prime numbers starting from 2 and ending at 29.

we are given y as:

y=29×31×37×41×43×47×53×59×61×67

Clearly we could see that y is also a multiplication of all the prime numbers starting from 29 and ending at 67.

<em>" In mathematics, the greatest common divisor (gcd) of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers "</em>

Hence from the expression of x and y we could clearly see that the only common divisor that divides both x and y is 29.

Hence, greatest common divisor of x and y is 29.

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Find the equation of the line that contains the point (-4, -4) and is perpendicular to the line 4x+5y=5
Galina-37 [17]

Answer:

5x-4y+4=0

Step-by-step explanation:

Given: A point  which is perpendicular to the line .

To find: The equation of the line which passes through (-4, -4) and is perpendicular to the line 4x+5y=5.

Solution:

We have, 4x+5y=5.

Slope of the line 4x+5y=5 is -\frac{4}{5}.

The line which passes through (-4, -4) is perpendicular to the line 4x+5y=5.

Now, the product of the slopes of two perpendicular lines is -1.

Therefore, m\times-\frac{4}{5}=-1

So, its slope is \frac{5}{4}.

Now, the equation of the line which passes through (-4, -4) and slope \frac{5}{4} is:

y-(-4)=\frac{5}{4} [x-(-4)]

\Rightarrow y+4=\frac{5}{4} (x+4)

\Rightarrow 4(y+4)=5(x+4)

\Rightarrow 4y+16=5x+20

\Rightarrow 5x-4y+20-16=0

\Rightarrow 5x-4y+4=0

Hence, the equation of the line that contains the point (-4, -4) and is perpendicular to the line 4x+5y=5 is 5x-4y+4=0.

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You have a monthly budget of $500 in July to spend on small wares for your kitchen. You have not spent any of that $500 except f
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The answer is d 19 dollars
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