Bacteria are the most common example of exponential growth. Select a number between 2 and 10 to represent the hourly growth rate of a certain bacteria. For example, selecting the number 8 would mean that the amount of bacteria will be 8 times greater after every hour.
a. Suppose you start with one single bacterium. Make a table of values showing the number of bacteria that will be present after each hour for the first six hours using the hourly growth rate that you selected. Then determine how many bacteria will be present once 24 hours have passed.
b. Explain why this table represents exponential growth.
c. Using this example, explain why any nonzero number raised to a power of zero is equal to one.
d. Write a rule for this table.
e. Suppose you started with 100 bacteria, but they still grew by the same growth factor. How would your rule change? Explain your answer.

Answer:

I think it's like this

Article -6

Description: coffee........ gunguli .

who is interested in statistics?

-karen riche at the French National institute of medical research ,whose work appears in journal neurology

who is the audience?

-7000 men's and women's in the three french cities.

what kind of decision one should make after reading this article?

reading the above article I came to acknowledge that women are only benefited as they don't metabolizes coffee in same way as men.so men should take more care and control over their coffee consumption than women.

Description: coffee........ gunguli

(in here write whole sentence I just did in short cut)

Answer:

m= -9

Step-by-step explanation:

Hope this helps

Answer:

area of rectangle : 180 sq ft

area of triangle : 30 sq ft

area of entire composite figure : 210 sq. ft

Step-by-step explanation:

rectangle : 15*12= 180

triangle : 15*4=60 /2 = 30

entire : 180 + 30 = 210

Answer:

The radian measure of 30° is [tex]\frac{\pi}{6}[/tex] radians.

Step-by-step explanation:

A complete revolution equals 360°, that is, 2π radians. If the given angle is 30°, then the value of the radian measure is calculated by the following simple rule of three:

[tex]x = \frac{30^{\circ}}{360^{\circ}}\times 2\pi[/tex]

[tex]x = \frac{\pi}{6}\,rad[/tex]

The radian measure of 30° is [tex]\frac{\pi}{6}[/tex] radians.

Answer:

8×1/9

Step-by-step explanation:

It is same as 8/9 because 8×1=8

Answer:

Step-by-step explanation:

Lin’s method

- multiply both x and 2 by  7

7x+14 = 91

- add -14 at both members

7x+14-14 = 91-14

7x = 77

- divide the two members by 7

x = 11

Noah’s method

- divide the two members by 7

x+2 = 13

- add -2 at both members

x+2-2 = 13-2

x = 11

Answer:

The solution is x=11

Step-by-step explanation:

The original equation is

7(x+2)=91

Lin uses the distributive property, which states that

a (x+y) = ax + ay

By applying the property to this case,

7(x+2)=91

7x+14=91

Then we subtract  14 on both sides:

7x+14 - 14 = 91-14

7x=77

Finally, we divide by 7 on both sides:

7x÷7 = 77÷7

x=11

Noah starts by dividing each side by 7, so he gets:

7(x+2)÷7 = 91÷7

x+2= 13

Then he can subtract +2 from both sides:

x+2-2 =13 - 2

x=11

So, they get the same result. The similarity between the two methods is that  they both divide by 7, while the difference is that Lin has to subtract 14, while Noah has to subtract 2.

Answer:

Number of special bagel sandwiches = 37

Step-by-step explanation:

Let [tex]x,y[/tex] denote number of special bagel sandwiches and plain bagels respectively.

The bagel shop sold 100 items.

[tex]x+y=100\\y=100-x[/tex]

Also, The bagel shop made $385.

[tex]7x+2y=385[/tex]

Put [tex]y=100-x[/tex] in [tex]7x+2y=385[/tex]

[tex]7x+2(100-x)=385\\7x+200-2x=385\\5x=385-200\\5x=185\\x=\frac{185}{5}\\x=37[/tex]

So,

Number of special bagel sandwiches = 37

Answer:

B) 24

Step-by-step explanation:

This angle adds to 90 degrees, so to solve for x you need this equation:

(2x) + 42 = 90

Subtract 42 from both sides to get:

2x = 48

Divide 2 from both sides to get:

x = 24

Hope it helps!!!

Answer:

5 trips

Step-by-step explanation:

The volume of bed of dump truck :

From the dimension given in the attached picture ;

Volume of bed = 4 ft * 8 ft * 6 ft = 192 ft³

This means dump truck can convey 192 ft³ of salt per trip

Number of trips required to convey 800 ft³ of salt :

800 ft³ / 192 ft³

= 4.166

= 5 trips

Answer:

358 people

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

i think so...

[tex] \sqrt{30} = 5.47[/tex]

have a nice day

Answer:

its 8

Step-by-step explanation:

Divide 400÷50

Answer:

24

Step-by-step explanation:

Answer: Equals 24! Have a great day!

Answer:

Step-by-step explanation:

Mabye 7?

Respuesta: 3/2= 1 1/2

Answer:

1 1/2 or 1.5

Step-by-step explanation:

To divide a fraction, use the phrase, "keep, change, flip"

We keep the first fraction as it is, change the sign to multiplication, and flip the second fraction to its multiplicative inverse.

So 3/4 divided by 1/2 becomes:

3/4 x 2/1

= 6/4 = 1 1/2

Answer:

B

Step-by-step explanation:

its undefined because 3/0.

Answer:

108

Step-by-step explanation:

To find the volume of a rectangular prisms just multiply its dimensions together then you should get a volume of 54 in² then divide by 1/2 to find out how many cubes will fit in the prism

Answer:

[tex]12 \leqslant x < 26[/tex]

Answer:

it is the number you are trying to solve for which would be 5

Step-by-step explanation:

[tex] \huge \colorbox{yellow}{Question}[/tex]

[tex]2x + y = 12[/tex]

[tex] \huge \colorbox{yellow}{Answer}[/tex]

[tex]x = y - 3 \: (equation \: 1)[/tex]

[tex]2x + y = 12 \: (equation \: 2)[/tex]

Substituting the value of x in

( equation 2)

[tex]2x + y = 12[/tex]

[tex]2(y - 3) + y = 12[/tex]

[tex]2y - 6 + y = 12[/tex]

[tex]2y + y = 12 + 6[/tex]

[tex]3y = 18[/tex]

[tex]y = 18 \div 3[/tex]

[tex]y = 6[/tex]

Now we get y = 6

Substituting the value of y in

( equation 1 )

[tex]x = y - 3[/tex]

[tex]x = 6 - 3[/tex]

[tex]x = 3[/tex]

Now we get x = 3

[tex] \huge \mathsf\red{Final \: Answer}[/tex]