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rewona [7]
2 years ago
8

If a certain factory produces 24 Pepsi bottles of one liter capacity each in 12 minutes,

Mathematics
1 answer:
vaieri [72.5K]2 years ago
5 0

Answer:

It produces 120 bottles in one hour.

Step-by-step explanation:

This question can be solved by proportions.

24 Pepsi bottles of one liter capacity each in 12 minutes

24/12 = 2 bottles per minute.

How many Pepsi bottles does it produce in one hour?​

One hour has 60 minutes. So

60*2 = 120

It produces 120 bottles in one hour.

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G(n) = 4n+5 f(n)= n^3+3n^2 find (g+f)(n)
Tpy6a [65]

Given:

The two functions are:

g(n)=4n+5

f(n)=n^3+3n^2

To find:

The function (f+g)(n).

Solution:

We have,

g(n)=4n+5

f(n)=n^3+3n^2

Now,

(f+g)(n)=f(n)+g(n)

(f+g)(n)=n^3+3n^2+4n+5

Therefore, the correct option is B.

7 0
2 years ago
A.d2=4 is true for<br><br>b.2m=m+m is true for<br><br>c. d+67=d+68 is true for
Rufina [12.5K]
A. 2(2) = 4
B. 2(1)= 1+1
C. 2+ 67 = 1+ 68
8 0
3 years ago
a rectangle has an area of 25 in squared. itis dilated by a scale factor of 4. what is the area of the new image ?
kobusy [5.1K]
Answer is 100 because 25 4 times = 100
7 0
2 years ago
Expand &amp; simplify<br> 2<br> (<br> b<br> +<br> 4<br> )<br> +<br> 5<br> (<br> b<br> −<br> 3<br> )
Usimov [2.4K]

Answer:

7b - 7

Step-by-step explanation:

You can use distributive property which is x (a + b) = x*a + x*b and x (a - b) = x*a - x*b. Therefore, the expression is 2*b + 2*4 + 5*b - 5*3 which is:

2b + 8 + 5b - 15, which is, if you combine like terms:

7b - 7

8 0
2 years ago
Phillipa is a scientist who grows yeast cells. She starts her experiment with 700 yeast cells and notices the growth rate of the
musickatia [10]

Answer:

  1. 700 initial cells
  2. 2486 cells after 25 hours

Step-by-step explanation:

#1 There are 700 yeast cells when Phillipa starts her experiment. (This value is given in the problem statement.)

__

#2 For this, we must assume the time period that is associated with the 5.2% growth. (The problem statement does not specify it.)

The general form of the equation for exponential growth is ...

  f(t) = (initial value)×(growth multiplier in time period)^(number of periods)

When the growth (or decay) rate is indicated as a percentage (r), the "growth multiplier in time period" is generally ...

  growth multiplier = 1+r

Here, the value of "r" is 5.2% = 0.052, so the growth multiplier in the time period is ...

  1 + 0.052 = 1.052

__

As we said, the time period is not specified. Since the only time period mentioned in the problem is 25 hours, we might reasonably assume that the 5.2% growth occurs in one hour. Then the cell population is ...

  f(t) = 700×1.052^t . . . . . . for t in hours

After 25 hours, ...

  f(25) = 700×1.052^25 ≈ 700×3.55135 ≈ 2485.9 ≈ 2486

The number of yeast cells present after 25 hours is about 2486.

4 0
2 years ago
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