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Dmitrij [34]
3 years ago
15

(Need help ASAP) In a research experiment, the population of a colony of bacteria doubles every hour. The population, f(x), of t

he colony after x hours can be modeled by the function f(x)=25 ⋅ 2x. What values for the domain are reasonable in the given context?
1. all real numbers



2. all real numbers greater than 0



3. all real numbers greater than or equal to 0



4. all real numbers greater than or equal to 25
Mathematics
1 answer:
marusya05 [52]3 years ago
6 0

Answer:

Step-by-step explanation:

The answer is 3

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If you were to pull colored marbles out of the bag (one at a time, and putting the marble back each time) for 500 tries, approxi
shepuryov [24]

Answer:

We need to know the other marbles in the bag and how many there are of each.

5 0
3 years ago
Find the solution of the system by graphing
zvonat [6]

Answer:

x = -2

y = -1

(-2, -1)

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination
  • Solving systems of equations by graphing

Step-by-step explanation:

<u>Step 1: Define systems</u>

y = x + 1

3x + 3y = -9

<u>Step 2: Solve for </u><em><u>x</u></em>

<em>Substitution</em>

  1. Substitute in <em>y</em>:                              3x + 3(x + 1) = -9
  2. Distribute 3:                                   3x + 3x + 3 = -9
  3. Combine like terms:                     6x + 3 = -9
  4. Isolate <em>x</em> term:                               6x = -12
  5. Isolate <em>x</em>:                                        x = -2

<u>Step 3: Solve for </u><em><u>y</u></em>

  1. Define original equation:                    y = x + 1
  2. Substitute in <em>x</em>:                                     y = -2 + 1
  3. Add:                                                      y = -1

<u>Step 4: Graph systems</u>

<em>Check the solution set.</em>

6 0
3 years ago
Find the height of a triangle that has an area of 54 cm2 with the width 3 cm less than its height.
iren2701 [21]

The height of a triangle is 9 cm

<h3>What is Triangle?</h3>
  • A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the display style for a triangle with vertices A, B, and C.
  • In Euclidean geometry, any three points that are not collinear produce a singular triangle and a singular plane (i.e. a two-dimensional Euclidean space).
  • In other words, every triangle is contained in a plane, and there is only one plane that contains that triangle.
  • All triangles are enclosed in a single plane if all of the geometry is the Euclidean plane, however, this is no longer true in higher-dimensional Euclidean spaces.
  • Except when otherwise specified, this article discusses triangles in Euclidean geometry, namely the Euclidean plane.

given that

let the height of the triangle be x

then the width is x-3

Area = \frac{height \times length}{2}

54 = x(x -3)

54 = x^2 -3x

x = 9

height = 9 cm

width = 6cm

Therefore, the height of a triangle is 9 cm.

To learn more about the triangle with the given link brainly.com/question/11897796

#SPJ4

8 0
1 year ago
Can someone please help me!! And can you show your work
Debora [2.8K]

Answer:

1) 8.073 (multiply 0.621 by 13km)

2)1,320,000,000(5280ft times 250,000)

3)37.850(10,000 divided by 264.2)

4)4hrs

5)157680000

(60 seconds in one minute and 60 min in one hr so 60 times 60 =3600 in one hr. then multiply 3600 by 24 for the entire day which is 86400sec. Then multiply that day by 365 which is 31536000 times 5 years which gets us our total of 157680000 seconds.

6) 758000 L

1 gal = 3.79 L so we have to multiply 3.79 times 200,000 which gets us 758000

Step-by-step explanation:

1) To get this answer we need to find out how many miles are in one kilometer. 0.621 mile is 1 km so we need to put 13 for km which will get 8.073 miles. SO the answer is 8.073

2) we need to find how many feet are in a mile. 1 mile= 5,280. so 5280 times 250,000 = 1320000000  

3) 264.2 gal= 1 cubic meter so 10,000/264.2= 37.850

4) 1 hr= 60 min = 4hrs and 58 minutes roughly

5) 60 sec is 1 minute= so 60 times 60(the minutes in

4 0
3 years ago
Add _____ to each side x2 – 8x = 9 to complete the square.
zhuklara [117]

Answer:

The correct answer is 25

Step-by-step explanation:

It is given a quadratic equation,

x² – 8x = 9

<u>To find the number to be added</u>

The given equation be  x² – 8x = 9

here we have to add (b/2)² -  the square of half the coefficient of x,

Here b = -8

(b/2)² = (-8/2)² = -4² = 16

Add both side with 16

x² – 8x + 16  = 9 + 16

(x - 4)² = 25

(x - 4)² = 5²

3 0
3 years ago
Read 2 more answers
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