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KIM [24]
3 years ago
14

Suppose a scientist puts a colony of bacteria weighing 1 gram in a large container. Assume that these bacteria reproduce in such

a way that their number doubles every 20 minutes.
Mathematics
1 answer:
DedPeter [7]3 years ago
5 0

Answer:

okkkkkkkkkkkkkkkkkkkkkkkkkkk

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Using a pair of compasses and a ruler only,construct ∆ABC where
LenKa [72]

1.Drawn a straight line AB=7 cm with the help of ruler.

2.With the help of compass drawn an arc from A and at the point where it cuts AB from that point made another arc drawn an arc cutting the previous arc.

3.From A drawn a straight line joining the arc and extend it to M.

4.With the help of ruler measured 5 cm and mark it as AC.

5.Joined BC and we get the required triangle.

6.From C drawn an arc and make it cut on AC and BC and from the point it cuts AC and BC drawn arc cutting each other and extend a line from point C extend a line to the point point of intersection of two arc.

7.Similarly we do for A and the point where the two line intersect denoted as O.

8.Made a perpendicular from O on AB this perpendicular will be radius and taking O as centre we draw a circle this is our incircle.

9.And AN is our locus of points equidistant from two lines AB and AC.

We need to construct a circle inscribed in triangle that is incircle it can be done by making angle bisector of two sides the point where it intersect will be incentre. The centre of required circle.

The angle bisector is the locus where points are equidistant from two sides.

6 0
3 years ago
Chef Alonso is creating a recipe called spicy Italian chicken with the following ingredients:3/4 pound chicken,2 1/2 cups tomato
KonstantinChe [14]

Answers:

A) This recipe makes 3/2=1.5 1/2 pound servings.

B) The Chef Alonso should multiply the amount of chicken by 4/3 so that the recipe will make 2 full servings, each with 1/2 pound of chicken.

C) Amount of all the ingredients in the new recipe:

1 pound chicken.

3 1/3 cups tomato sauce.

1 1/3 teaspoon oregano.

2/3 teaspoon Chef Alonso's special sauce.

D) No, he can not measure the new amounts of oregano and hot sauce exactly.


Solution:

A) Using a rule of three:

1 serving of the dish     includes     1/2 pound chicken

                x                    include      3/4 pound chicken (Recipe)

x=(1 serving of the dish)(3/4 pound chicken) / (1/2 pound chicken)

x=(3/4) / (1/2)

x=(3/4) (2/1)

x=(3*2)/(4*1)

x=6/4

x=(6/2) / (4/2)

x=3/2=1.5


B) We want 2 full servings each with 1/2 pound of chicken, then we need a total of 2*(1/2) pound of chicken=1 pound of chicken

The recipe is with 3/4 pound of chicken, then to obtain 1 pound we must multiply by x:

(3/4)x=1

Solving for x: Multiplying both sides of the equation by 4/3:

(4/3)(3/4)x=(4/3)(1)

x=4/3


C) Amount of all the ingredients in the new recipe:

1. Chicken: (3/4 pound)(4/3)=1 pound

2. Tomato sauce: (2 1/2 cups)(4/3)=[(2*2+1)/2](4/3)=[(4+1)/2](4/3)=(5/2)(4/3)=(5*4)/(2*3)=20/6=(20/2)/(6/2)=10/3=(9+1)/3=9/3+1/3=3 1/3 cups

3. Oregano: (1 teaspoon)(4/3)=4/3=(3+1)/3=3/3+1/3=1 1/3 teaspoon

4. Chef Alonso's special sauce: (1/2 teaspoon)(4/3)=(1*4)/(2*3)=4/6=(4/2)/(6/2)=2/3 teaspoon


D) Chef Alonso only has three measuring spoons: 1 teaspoon, 1/2 teaspoon,  and 1/4 teaspoon. Can he measure the new amounts of oregano and hot sauce exactly? Explain why or why not

No, because he needs to measure 1 1/3 teaspoon of oregano and he can not measure 1/3 teaspoon (he only has 1/2 teaspoon and 1/4 teaspoon).

He needs to measure 2/3 teaspoon of his special sauce and he can not measure this quantity, because he only has 1/2 teaspoon and 1/4 teaspoon.

6 0
3 years ago
4x + 5y = -28<br> -4x – 7y = 28
Brut [27]

Answer:

x = -7 , y = 0

Step-by-step explanation:

Solve the following system:

{4 x + 5 y = -28 | (equation 1)

-4 x - 7 y = 28 | (equation 2)

Add equation 1 to equation 2:

{4 x + 5 y = -28 | (equation 1)

0 x - 2 y = 0 | (equation 2)

Divide equation 2 by 2:

{4 x + 5 y = -28 | (equation 1)

0 x - y = 0 | (equation 2)

Multiply equation 2 by -1:

{4 x + 5 y = -28 | (equation 1)

0 x+y = 0 | (equation 2)

Subtract 5 × (equation 2) from equation 1:

{4 x+0 y = -28 | (equation 1)

0 x+y = 0 | (equation 2)

Divide equation 1 by 4:

{x+0 y = -7 | (equation 1)

0 x+y = 0 | (equation 2)

Collect results:

Answer: {x = -7 , y = 0

3 0
4 years ago
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There are 14 boys and x girls in a class. One boy and one girl will be selected to represent the class on the student council.ta
mezya [45]
I’m azoic get poopzoo with the. L me. Ni innovative just m
As a
7 0
2 years ago
In 2008, the cost of an oven was Rs.3500. In 2010, it rose to Rs.4900. The percent increase in price
natulia [17]

Step-by-step explanation:

your  \: answer \:  is  \: 40\%

8 0
3 years ago
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