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IrinaVladis [17]
3 years ago
8

A culture started with 6,000 bacteria. After 5 hours, it grew to 7,800 bacteria. Predict how many bacteria will be present after

13 hours. Round your answer to the nearest whole number.
Mathematics
1 answer:
AleksandrR [38]3 years ago
4 0

Answer:

After 5 hours, the amount of bacteria increased: 7800-6000=1800

After 1 hours, the amount of bacteria increased: 1800/5=360

After 18 hours,  the amount of bacteria increased: 360*18 = 6480

=> Total amount of bacteria after 13 hours: 6000+6480 =12480

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Perform the operation and write the result in standard form.<br> (4 − 3i)2
yaroslaw [1]

Answer:

8-6i

Step-by-step explanation:

Multiply each part of the equation inside the parenthesis by 2. So you have 8 - 6i

4 0
3 years ago
If cde is a straight angle, de bisects gdh, m gde = (8x-1), m edh = (6x-15), and m cdf= 43, find each measure.
Sergio [31]

Answer:

x = 7°

<GDH = 112°

<FDH = 192°

<FDE = 135°

Step-by-step explanation:

If DE bisects <GDH this means that <GDE = <EDH

Given <GDE = (8x+1)° and <EDH = (6x+15)° then;

8x+1 = 6x+15

8x-6x = 15-1

2x = 14

x = 7°

Since <GDH = <GDE + <EDH

<GDH = 8x-1+6x+15

<GDH = 14x+14

<GDH = 14(7)+14

<GDH = 98+14

<GDH = 112°

For <FDH,

Note that sum of angle on a straight line is 180°

<FDH = <FDG + <GDE + <EDH

<FDH = <FDG + <GDH

<FDG = 180-(43+8x+1)

<FDG = 180-44-8x = 136-8x

<FDH = 136-8x+112

<FDH = 248-8x

<FDH = 248-8(7)

<FDH = 248-56

<FDH = 192°

For <FDE;

<FDE = <FDG + <GDE

<FDE = 136-8x+8x-1

<FDE = 135°

7 0
3 years ago
3 + x = 4 is the same as 4 = 3 + x. This is an example of which algebraic property? a.Distributive Property
ANTONII [103]
B. Associative Property
8 0
3 years ago
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Find the area of the polygon with vertices (1, 2) (1, -5) (5, -5) (5,2)
Svetradugi [14.3K]

Answer:

28 square units

Step-by-step explanation:

These vertices are written in the form of their x and y coordinates. Let

A=(1,2) ; B =(1,-5) ; C =(5, -5) ; D=(5,2)

The x points are 1, 1, 5, 5

The y points are 2,-5, -5, 2

The x extremes range from 1 to 5. The length  in-between is 5-1 = 4

The y extremes range from -5 to 2. The length  in-between is 2-(-5) = 7

Area of the polygon enclosed by the coordinates

   = 4 x 7 = 28 square units

5 0
3 years ago
∆ABC is reflected across the x-axis, then rotated 90° clockwise about the origin, and finally reflected across the line y = x to
torisob [31]

Answer:

<h2>A'(1,1), B'(2,3) and C'(2,1)</h2>

Step-by-step explanation:

Notice that the vertices are A(1,1), B(2,3) and C(2,1).

A reflection across the x-axis give the coordinates A'(1,-1), B'(2,-3) and C'(2,-1). Then, we apply the rotation 90° clockwise about the origin A'(1,1), B'(3, 2) and C'(1, 2).

Finally, a reflection across the line y = x, gives A'(1,1), B'(2,3) and C'(2,1)

Therefore, the coordinates of the image are A'(1,1), B'(2,3) and C'(2,1).

6 0
3 years ago
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