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Pachacha [2.7K]
2 years ago
14

The diameter of a bacteria colony that doubles every hour is represented by the graph below. What is the diameter of the bacteri

a after 10 hours?
graph of a curve passing through the points zero comma 1, one comma two, two comma four, and three comma eight

HELPPP please
Mathematics
2 answers:
mixas84 [53]2 years ago
4 0

Answer:

1024

Step-by-step explanation:

(0,1)

(1,2)

(2,4)

(3,8)

(4,16)

(5,32)

(6,64)

(7,128)

(8,256)

(9,512)

(10,1024)

Nady [450]2 years ago
3 0

Do you notice anything strange about those points ?

(0, 1), 
(1, 2), 
(2, 4),
(3, 8).

The y-coordinate of each point is (2) raised to the  power of the x-coordinate.

First point:       x=0,  y=2⁰ = 1
Second point: x=1,  y=2¹ = 2
Third point:      x=2,  y=2² = 4
Fourth point:    x=3,  y=2³ = 8


The equation of the curve appears to be

                               y = 2 ^ x .

So, after 10 hours,  x=10, and  y = 2¹⁰ = 1,024 .

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An object is moving at a speed of 230 feet per week. Express this speed in inches per minute. Round your answer to the nearest h
Kruka [31]

Answer:

0.02 inches per minute

Step-by-step explanation:

1 Week = 10080 minutes

Formaul: multiply the time value by 10080  to find the minutes in a week or do it the long way 60x24x7 = 10080

230/10080 = 0.02281746031 or 0.02 rounded to nearest hundert.

5 0
2 years ago
1. Three friends pooled their money to purchase a new game system that costs $298. One person
iragen [17]

Answer:

First person: $107

Second person: $98

Third person: $93

Step-by-step explanation:

Let be "f" the amount of money (in dollars) that the first person contributed to the purchase, "s" the amount of money (in dollars) that the second person contributed to the purchase and "t" the amount of money (in dollars) that the third person contributed to the purchase.

With the information given in the exercise, you can set up the following equations:

Equation 1 → f+s+t=298

Equation 2 → s=f-9

Equation 3 → t=f-14

Substitute the Equations 2 and 3 into the Equation 1 and then solve for "f":

f+(f-9)+(f-14)=298\\\\3f-23=298\\\\f=\frac{321}{3}\\\\f=107

Finally, substitute the value of "f" into the Equation 2 and then into the Equation 3, in order to find the values of "s" and "t".

Therefore, you get:

s=107-9\\\\s=98\\\\\\t=107-14\\\\t=93

5 0
2 years ago
What line intersects two other complaner lines in different points
kotykmax [81]

Answer & Explanation:

A transversal is a line that intersects two or more coplanar lines at different points. Two angles are corresponding angles if they occupy corresponding angles. Two angles are alternate exterior angles if they lie outside the two lines on opposite sides of the transversal.

4 0
2 years ago
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Sofia cuts a piece of felt in the shape of a kite for an art project. The top two sides measure 20 cm each and the bottom two si
dolphi86 [110]

In geometry, it is always advantageous to draw a diagram from the given information in order to visualize the problem in the context of the given.

A figure has been drawn to define the vertices and intersections.

The given lengths are also noted.


From the properties of a kite, the diagonals intersect at right angles, resulting in four right triangles.


Since we know two of the sides of each of the right triangles, we can calculate their heights which in turn are the segments which make up the other diagonal.


From triangle A F G, we use Pythagoras theorem to find

h1=A F=sqrt(20*20-12*12)=sqrt(256)=16


From triangle DFG, we use Pythagoras theorem to find

h2=DF=sqrt(13*13-12*12)=sqrt(25) = 5


So the length of the other diagonal equals 16+5=21 cm


5 0
2 years ago
Here is the scale model of a fountain at a museum the scale is 1:30 how many boulders are in the real fountain
wlad13 [49]

Answer:

When we do a scale model of something (like a building, a house, or whatever) al the properties of the original thing must also be in the model.

So for example, you want to do a model of a house, and in the backyard of the house there are 4 trees, then in the model of the house you also need to put 4 trees in the backyard (indifferent of the scale of the model).

Then the number of boulders in the really fountain should be the same as the number of boulders in the scale model of the fountain.

6 0
2 years ago
Read 2 more answers
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