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Diano4ka-milaya [45]
3 years ago
10

Ellen is playing a video game in which she captures butterflies. There are 5 butterflies onscreen, but the number of butterflies

doubles every minute. After 4 minutes, she was able to capture 7 of the butterflies.
Part 1 out of 2
Enter an expression for the number of butterflies after 4 minutes. Use a power of 2 in your answer.
Mathematics
1 answer:
vovikov84 [41]3 years ago
5 0
(Each minute+1)((Number of butterflies)^2)
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Find all the roots of the equation x4 - 2x3 + 14x2 - 18x + 45 = 0 given that 1 + 2i is one of its roots.
patriot [66]
Asked and answered elsewhere.
brainly.com/question/10192511


Knowing that 1+2i is a root, you also know that 1-2i is a root, so one quadratic factor is
   (x -1)² -(2i)² = x^2 -2x +5

Long division of the given polynomial by this quadratic gives a quotient of 
  x² +9
which has roots ±3i.

Then all the roots are {-3i, 3i, 1-2i, 1+2i}.
7 0
3 years ago
Put them in the order from least to greatest. You can use the number line to help.
notka56 [123]

Answer:

-1.85 -7/8 1 3/4

Step-by-step explanation:

It is about which one is to the farest right ▶️ from 0

8 0
3 years ago
Consider the equation y= -2x -3.
Alona [7]

Part A

The graph is shown below as an attached image.

The diagram shows a straight line that goes through the two points (0,-3) and (1, -5)

I'm using GeoGebra to graph the line.

side note: (0, -3) is the y intercept which is where the graph crosses the y axis.

==================================================

Part B

Answer is choice 2

The graph can be written in the form y = mx+b, so it is linear

In this case, m = -2 is the slope and b = -3 is the y intercept

We can write the slope as m = -2 = -2/1. This tells us that we can move down 2 units and then over to the right 1 units to get from point to point. This process of "down 2, over to the right 1" happens when moving from point A to point B in the diagram below.

7 0
3 years ago
What is the square root of x?
sveticcg [70]
Cant answer this without giving an equation
7 0
3 years ago
The solid surface area is equal to the solid volume. Find the value of x? The measurements of the rectangular prism is 9 inches
Fudgin [204]

Answer:

x=7.2

Step-by-step explanation:

Let x represent height of the prism.

We know that volume of rectangular is equal to product of its height, width and length.

\text{Surface area of rectangular prism}=2(wl+lh+hw), where w, h and l represents width, length and height respectively.

We have been given that the surface area of rectangular prism is equal to the volume of the prism. So we can set an equation as:

lwh=2(wl+lh+hw)

We are also told that the measurements of the rectangular prism is 9 inches long and 4 inches wide. Upon substituting these values in above equation, we will get:

9\cdot 4\cdot x=2(4\cdot  9+9\cdot x+x\cdot 4)

Let us solve for x.

36x=2(36+9x+4x)  

36x=2(36+13x)

36x=2(36+13x)

36x=72+26x

36x-26x=72+26x-26x

10x=72

x=\frac{72}{10}\\\\x=7.2

Therefore, the value of x is 7.2 inches.

6 0
3 years ago
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