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Vlad1618 [11]
2 years ago
9

To begin a bacteria study, a petri dish had 2800 bacteria cells. Each hour since, the number of cells has increased by 7.2%. Let

t be the number of hours since the start of the study. Let y be the number of bacteria cells. Write an exponential function showing the relationship between y and t.​
Mathematics
1 answer:
Rudiy272 years ago
7 0
The function that models exponential growth is:

P(t) = P0*(1 + r)^t, where

P0 = P(0) is the initial value of P

r is the growth rate as a decimal

In our case we have:

P(0) = 2800

r = 0.035 or 3.5%

P(t) = 2800*(1 + 0.035)^t

P(t) = 2800*(1.035)^t

The same exponential function written using y and t is:

y = 2800*1.035^t.

Explanation: https://softmath.com/algebra-word-problems/to-begin-a-bacteria-study-a-petri-dish-had-2800-bacteria
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Triangle abc is located on a coordinate plane angle c is at (1,2) the triangle is rotated counter clockwise 90° about the origin
sertanlavr [38]

After rotating a point C 90° counterclockwise about the origin the coordinates of C' would be (-2, 1)

In this question, we have been given a triangle ABC.

A point C is at (1, 2)

The triangle is rotated counter clockwise 90° about the origin.

We need to find the coordinates of C' which is image of vertex C  after rotation.

We know that, if we rotate a point 90° counterclockwise about the origin a point (x, y) becomes (-y, x).

Here C(1, 2) is rotated 90 degrees counterclockwise about the origin.

So, the coordinates of C' would be,

C' = (-2, 1)

Therefore, after rotating a point C 90° counterclockwise about the origin the coordinates of C' are (-2, 1)

Learn more about the rotation here:

brainly.com/question/2763408

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6 0
1 year ago
Im not sure of how to solve these,any help? :<br><br> 2x-5&gt;x-2
777dan777 [17]
2x-5>x-2\ \ \ \ \ \ \ \ \ |unknowns\ on\ the\ left\\\\2x-x>-2+5\\\\x>3\\\\x\in(\infty,3)
5 0
3 years ago
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the length of a rectangle is 4 more than 3 times the width. If the perimeter of the rectangle is 18.4cm, what is the area of the
antoniya [11.8K]

Answer:

A = 10.27cm²

Step-by-step explanation:

Let's represent the width as x,

therefore since the length is 4 more than 3 times the width, it can be represent as 3x + 4,   Perimeter = 18.4cm

Perimeter of a rectangle = 2(L + B)

18.4= 2(3x+4+x)\\18.4= 6x+8+2x\\18.4-8=6x+2x\\10.4=8x\\x=\frac{10.4}{8}\\x=1.3

width = 1.3cm

Length = 3x + 4 = 3*1.3 + 4 = 7.9cm

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A = 7.9 * 1.3 = 10.27cm²

6 0
2 years ago
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How do you rewrite 6^4×6^4 as a single power?
tensa zangetsu [6.8K]

Answer:

6^8

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6^4 * 6^4

We know that a^b* a^c = a^(b+c)

6^4×6^4  = 6^(4+4) = 6^8

6 0
3 years ago
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How do you find the surface area of a regular triangular prism
Dmitry [639]
So a triangular prisim is like a triangle stacked on top of x number of identical triangles making a height, like a piece of paper made into a stack

so
basically find the area of each side and add

look at diagram/attachment
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multiply by 2 because 2 sides so 1/2 times 2 b times h=b times h

then 3 other sides
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areas=(H times B)+(H times c)+(H times a)

so SA=(b times H)+(H times B)+(H times c)+(H times a)



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