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amm1812
3 years ago
10

Can someone help please!!!!

Mathematics
1 answer:
lara [203]3 years ago
8 0

Answer:

1000 * 3^{9} Bacteria after 18 hours,

Step-by-step explanation:

The condition given in the problem is that the number of bacterial triple after every 2 hours.

So, after 2 hours, total bacteria= 1000 * 3

So, after 4 hours, total bacteria= 1000 * 3 * 3

Therefore, the general format for the number of bacteria is 1000 * 3^{n}, where n is the number of times the bacteria has tripled.

In 18 hours, there are \frac{18}{2} ties that the bacteria has tripled.

Therefore, the no. of bacteria after 9 hours= 1000 * 3^{9}

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In mathematics given that x=L2-L1/L1(O2-O1).
Assoli18 [71]

Answer:

1. L1 = \frac{L2}{X(O2 -O1)}

2. O2 = \frac{L2 - L1(1 + XO1)}{XL1}

Step-by-step explanation:

Given: x = \frac{L2 - L1}{L1(O2 -O1)}

1. To make L1 the subject of formula;

x = \frac{L2 - L1}{L1(O2 -O1)}

cross multiply to have;

L2 - L1 = xL1(O2 - O1)

collect like terms,

L2 = xL1(O2 - O1) + L1

factorize the right hand side;

L2 = L1[x(O2 - O1)]

L1 = \frac{L2}{X(O2 -O1)}

2. To make O2 the subject of formula;

x = \frac{L2 - L1}{L1(O2 -O1)}

cross multiply to have;

L2 - L1 = xL1(O2 - O1)

open the bracket to have;

L2 - L1 = xL1O2 - xL1O1

⇒ xL1O2 = L2 - L1 + xL1O1

O2 = \frac{L2-L1 + XL1O1}{XL1}

     = \frac{L2 - L1(1 + XO1)}{XL1}

4 0
3 years ago
the ratio of girls to boys in the math club was 3.5. if there were 120 children altogether, how many girls were there?
sergejj [24]

3 girls to 5 boys

3+5 =8

120/8 = 15

3 *15 = 45 girls


5 0
4 years ago
If A(1,2), B(5,-4) and (-3,2) are the vertices of a triangle, which statement holds true?
Zigmanuir [339]

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The correct option is A.

<h3>What is a triangle?</h3>

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.

The length of different sides are:

AB = \sqrt{(5-1)^2+(-4-2)^2} = \sqrt{16+36} = \sqrt{52}\rm\ units

BC = \sqrt{(-3-5)^2+(2+4)^2} = \sqrt{64+36} = 10\rm\ units

AC = \sqrt{(2-2)^2+(-3-1)^2} = \sqrt{16} = 4\rm\ units

Since the length of all the sides of the triangle is not equal it is a scalene triangle.

Hence, the correct option is A.

Learn more about Triangle:

brainly.com/question/2773823

#SPJ1

7 0
2 years ago
Read 2 more answers
Studies show that a typical giant hummingbird can flap its wings once in 0.08 of a second.
Licemer1 [7]

Answer:

a. 90

b. 360

Step-by-step explanation:

The time taken by humming bird to flap its wings= 0.08 sec

by flying 7.2 seconds a typical giant hummingbird flap its wings \frac{7.2}{0.08} times

= 90 times

Since, A ruby-throated hummingbird can flap its wings 4 times faster than a giant hummingbird, it will flap its wings in every 0.02 sec

so in 7.2 seconds it will flap \frac{7.2}{0.02} times = 360 times

4 0
3 years ago
There are 515 students who attend central middle school. Three out of every 5 students live within 1 mile of the school. How man
AleksandrR [38]

Answer:

103 students live 1 mile away from the school.

Step-by-step explanation:

First dicide what the problem is really asking you then you end up getting divisoin them divide 515/3.

5 0
3 years ago
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