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vaieri [72.5K]
2 years ago
9

The relationship between a bacteria population p, in thousands, and time d, in days, since it was measured to be 1,000 can be re

presented by the equation .
Select all statements that are true about the situation.





© 2019 Illustrative Mathematics. All Rights Reserved.


Select all that apply:
A: Each day, the bacteria population grows by a factor of 2
B: The equation p=2^d also defines the relationship between the population in thousands and time in days
C: The population reaches 7,000 after log2(7,000) days
D: The expression log2(10) tells us when the population reaches 10,000.
E: The equation d=log2(p) represents a logarithmic function
F: The equation 7=log2(128) tells us that the population reaches 128,000 in 7 days.
Mathematics
1 answer:
klemol [59]2 years ago
3 0

The expression log₂(10) tells us when the population reaches 10,000 and the equation 7 = log₂(128) tells us that the population reaches 128,000 in 7 days.

<h3>What is an exponential function?</h3>

An exponential function is in the form:

y = abˣ

Where a is the initial value of y and b is the multiplication factor.

Let p represent the bacteria population in thousand after d days.

Since each day, the bacteria population grows by a factor of 2, hence:

p=2^d

Hence, d = log₂p represents a logarithmic function

The expression log₂(10) tells us when the population reaches 10,000 and the equation 7 = log₂(128) tells us that the population reaches 128,000 in 7 days.

Find out more on exponential function at: brainly.com/question/12940982

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7 0
4 years ago
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Pat's potato farm grew 490 pounds of potatoes. Pat delivered 3/7 of the potatoes to a vegi stand. The owner of the vigi stand de
snow_lady [41]

Answer:

14 bags

Step-by-step explanation:

Total potato grown on Pat's potato farm = 490 pound

Fraction of potato delivered to vegi stand = 3/7 of total potato

Therefore,

Potato delivered to Vegi stand in pound = 3/7 of Total potato grown

                                                                     =  3/7 of 490 = 3/7 * 490

                                                                     = 210

Thus, 210 pound potato is delivered to vegi stand

___________________________________________

Fraction of potato delivered to local grocery store = 2/3 of  potato delivered to Vegi stand

Therefore,

Potato delivered to local grocery store in pound = 2/3 of  potato delivered to Vegi stand

                                                                     =  2/3 of 210 = 2/3 * 210

                                                                     = 140

Thus, 140 pound potato is delivered to local grocery store.

____________________________________________________

Half of the potatoes delivered were packaged into 5 pound bags

Half of 140 pound potato is delivered to local grocery store will be

140/2 = 70 pounds.

Thus, 70 pounds potatoes were packed in 5 pound bags.

Let the the no of 5 pounds bag be x.

if one bag has 5 pound potatoes then

x bag will have 5*x = 5x pound potatoes,

but it is given that  70 pounds potatoes were packed in 5 pound bags.

thus,

5x = 70

x = 70/5 = 14

Thus, 14 bags were packed by grocery store package.

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Help please what type of angle is this, and what is x?
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Step-by-step explanation:

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4 years ago
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A pom-pom manufacturer makes each of its pom-poms with 35% white strands (w), 25% blue strands (b), and 40% red strands (r). If
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Answer:

28 white strands , 20 blue strands and 32 red strands are needed to make a pair of pom-poms

Step-by-step explanation:

Given :A pom-pom manufacturer makes each of its pom-poms with 35% white strands (w), 25% blue strands (b), and 40% red strands (r).

To Find : If each pom-pom has a total of 80 strands, how many of strands of each color are needed to make a pair of pom-poms?

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Please help with all of them , thank you !
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Answer:

A.  12x² + 15xy + 18x

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3b.  x = 3

Step-by-step explanation:

A.  3x ( 4x + 5y +6 )                        C.  ( 2x - 7 ) ( 5x + 2 )

    12x² + 15xy + 18x                             10x² + 4x - 35x - 14

                                                             10x² - 31x - 14

B.  6x ( 3y - 2x + 4 )

    18xy - 12x² + 24x                         D. ( x + 6 ) ( x - 6 )

     -12x² + 18xy + 24x                           x² - 6x + 6x - 36

                                                              x² - 36

3a.  5/4x + 2 = 12                             3b.  7/3x - 2 = 5/3x

      5/4x = 12 - 2                                     -2 = 5/3x - 7/3x

      5/4x = 10                                          -2 = - 2/3x

      x = 10 · 4/5                                       -2/3x = -2

      x = 8                                                  x = 3                                        

     

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3 years ago
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