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slega [8]
2 years ago
6

A biologist is studying the exponential growth of a colony of bacterial cells. The table gives the

Mathematics
1 answer:
leonid [27]2 years ago
3 0

The exponential function that represents the number of cells present at x hours is y = 100(2)ˣ

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

An exponential function is in the form:

y = abˣ

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

Let y represent the number of cells after x hours.

From the table, at point (0, 100):

100 = ab⁰

a = 100

At point (1, 200):

200 = 100b

b = 2

The exponential function is y = 100(2)ˣ

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

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Solve the system by the method of your choice x=3y-6,2x-6y=-12
igor_vitrenko [27]

The "system" of equations can't be solved for (x, y), because there's no "system" of equations given.  There's really only one equation.

Either of these two equations can be massaged to look exactly like the other one.  And if you graph both equations, you find that they're both the same line on the graph.

ANY point on the line is a solution to both equations ... and we all know how many different points there are on a line.

8 0
3 years ago
Can someone please help me with this . will give brainliest :)​
Rasek [7]

Answer:

Your answer is going to be letter D because:

.00004 x 2,000,000,000 = 80,000

<u>D</u>

can i get brainly?

6 0
3 years ago
Solve the system of equations. -5x+2y=9. y=7x
il63 [147K]

- 5x + 2y = 9 \\ y = 7x \\  \\  - 5x + 2 \times 7x = 9 \\  - 5x + 14x = 9 \\ 9x = 9 \\ x = 1 \\  \\ y = 7 \times 1 = 7 \\

Answer: (1; 7)

7 0
3 years ago
PLEASE HELP ASAP THE DETAILS ARE BELOW.What is the value of x?
Aloiza [94]

Answer:

x = 30°.

Step-by-step explanation:

The dashes on the three lines indicate that the three lines are of equal lengths. The smaller triangle made out of the three lines (the one with two vertices on the circumference of the circle and one at the center of the circle) is an isosceles triangle. All three of the triangle's interior angles are 60° since it is isosceles.

The line (the one with arrows on its ends) touches the circle at only one point. That line is a tangent to the circle. That line is perpendicular to the segment that connects the center of the circle to the point of tangency. The angle between the two will be 90°.

The largest triangle includes three angles:

  • The angle with the center of the circle as its vertice: 60°;
  • The right angle due to the tangent to the circle: 90°;
  • The angle x°.

What is the value of x?

The three interior angles of a triangle add up to 180°. As a result,

60° + 90° + x° = 180°

x = 180 - 90 - 60 = 30.

6 0
3 years ago
How do you solve the equation 2cos^2 - cosx = 0 for all solutions?
exis [7]

Answer:

<em>π/2 and π/3</em>

Step-by-step explanation:

Given the equation 2cos²x - cosx = 0, to find the solution to the equation, we will follow the following step.

let P = cosx

The equation becomes 2P²-P = 0

P(2P-1) = 0

P = 0 and 2P-1 = 0

P= 0 and P = 1/2

Since P = cosx

cosx = 0 and cos(x) =  1/2

If cos(x) = 0

x = cos⁻¹0

x = 90⁰

x = π/2

If cos(x) = 1/2

x = cos⁻¹1/2

x = 60⁰

x = π/3

<em>Hence the solutions to the equation are π/2 and π/3.</em>

7 0
3 years ago
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