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yKpoI14uk [10]
2 years ago
12

There are 4.5 litres of milk in a pot. The chef stirs in 2.5 g of salt and 1.2 litres of water. How much liquid is in the pot?

Mathematics
1 answer:
wlad13 [49]2 years ago
8 0

Answer:

5.7 litres

Step-by-step explanation:

The salt is not a liquid so you do not need to add it in.

4.5 litres + 1.2 litres = 5.7 litres

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Alinara [238K]

Answer:

42 easy :)

Step-by-step explanation:

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Wats 80 times 80? please answer
Anastasy [175]

Answer:

6400

Step-by-step explanation:

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which is a shrink of an exponential growth function? a. f(x) = 1/3(3)^x b. f(x) = 3(3)^x c. f(x) = 1/3(1/3)^x d. f(x) = 3(1/3)^x
Gnesinka [82]

Answer: option a.

f(x)=\frac{1}{3} (3)^x


Explanation:


A <em>shrink</em> of a function is a <em>shrink</em> on the vertical direction. It means that for a certain value of x, the new function will have a lower value, in the intervals where the function is positive, or a higher value, in those intervals where the function is negative. This is, the image of the new function is shortened in the vertical direction.


That is the reason behind the rule:

  • given f(x), the graph of the function a×f(x), when a > 1, represents a vertical stretch of f(x),
  • given f(x), the graph of the function a×f(x), when a < 1, represents a vertical shrink of f(x).

So, we just must apply the rule: to find a shrink of an exponential growth function, multiply the original function by a scale factor less than 1.


Since it <em>is a shrink of</em> <em>an exponential growth function</em>, the base must be greater than 1. Among the options, the functions that meet that conditon are a and b:


a. f(x)=\frac{1}{3} (3)^x \\ \\ b.f(x) = 3(3)^x


Now, following the rule it is the function with the fraction (1/3) in front of the exponential part which represents a <em>shrink of an exponential function</em>.

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Step-by-step explanation:

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2 years ago
A chemist is mixing two solutions, solution A and solution B. Solution A is 15% water and solution Bis 20% water. She already ha
LiRa [457]

Answer:

15 ml

Step-by-step explanation:

We are told

Solution A = 15% of water

Solution B = 20% of water

Let's assume, the entire solution = 100ml

We are told that in the beaker we have 10 ml of Solution A already

Mathematically,

100 ml = 15%

10 ml = X

100ml × X = 15 × 10

X = 150/ 100

X = 1.5%

Hence in the beaker, we have 1.5% of water from Solution A

We are asked to find how many ml of solution B must be added to make the solution have 18% of water

Let y = number of ml of solution B

Hence

10 ml × 15%(0.15) = 1.5 ml of water - Equation 1

y ml × 20%( 0.20) = 0.20y ml of water ...... Equation 2

Add up the above equation

10ml + y ml ×18% (0.18) = 1.5 + 0.20y

(10 + y)(0.18) = 1.5 + 0.20y

1.8 + 0.18y = 1.5 + 0.20y

Collect like terms

1.8 - 1.5  = 0.20y - 0.18y

0.3 = 0.02y

y = 0.3/0.02

y = 15ml                              

Therefore,15mL of solution B must be added to the beaker in order to create a mixture that is 18% water

                     

4 0
2 years ago
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