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3 years ago

What is 2/42 simplified?

2 answers:

7 0

It would be 1/21
This is because you can divide 2 into 2 once giving you the 1. And 2 divides into 42 21 times giving you the 21
So the answer it

1
-
21

olga_2 [115]3 years ago

6 0

It would be simplified to 1/21

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Scientist are studying a bacteria sample. The function f(x)=360(1.07)^x gives the number of bacteria in the sample at the end of

Lapatulllka [165]

Options :

A. The initial number of bacteria is 7.

B. The initial of bacteria decreases at a rate of 93% each day.

C. The number of bacteria increases at a rate of 7% each day.

D. The number of bacteria at the end of one day is 360.

Answer:

C. The number of bacteria increases at a rate of 7% each day.

Step-by-step explanation:

Given the function :

f(x)=360(1.07)^x ; Number of bacteria in sample at the end of x days :

The function above represents an exponential growth function :

With the general form ; Ab^x

Where A = initial amount ;

b = growth rate

x = time

For the function :

A = initial amount of bacteria = 360

b = growth rate = (1 + r) = 1.07

If ; (1 + r) = 1.07 ; we can solve for r to obtain the daily growth rate ;

1 + r = 1.07

r = 1.07 - 1

r = 0.07

r as a percentage ;

0.07 * 100% = 7%

7 0

3 years ago

My Notes A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole with a speed of 4 f

Sergio [31]

Answer:

6.667 ft/s

Step-by-step explanation:

Given

Height of street light = 15ft

Height of man = 6ft

Speed away from pole = 4ft/s

Let x represents the distance between the man and the pole, and Let y represents the distance between the tip of the man's shadow to the pole.

This forms a similar triangle (see attachment below).

From similar triangles, we have

(y - x)/6 = y/15 ----- Solve equation

15(y - x) = 6 * y

15y - 15x = 6y ---- Collect Like Terms

15y - 6y = 15x

9y = 15x --- divide through by 9

y = 15x/9

y = 5x/3 ---- differentiate with respect to time, t

dy/dt = 5/3 dx/dt

dx/dt represents rate of change of distance per time = 4ft/s

while dy/dt represents rate of movement of his shadow tips

dy/dt = 5/3 * 4

dy/dt = 20/3 = 6.667 ft/s

4 0

3 years ago

Read 2 more answers

Yo givin brainiest !!

VikaD [51]

Answer:

C arithmetic

Step-by-step explanation:

-2,0,2,4,6

To get from the first term to the second term, we add 2

To get from the second term to the third term, we add 2

To get from the third term to the fourth term, we add 2

The common difference is 2

This is an arithmetic sequence.

There is no single number we can multiply by to move from once term to the next, so it is not a geometric sequence.

8 0

3 years ago

What is 159% of 980? Round to the nearest hundredth.

notsponge [240]

Answer: There is no need to round in this case, but 159% of 980 is 1558.2.

3 0

4 years ago

Read 2 more answers

What is the difference between categorical and quantitative data? Give examples of each of your own for each. Also decide whethe

andrezito [222]

Categorical data are also known as the qualitative data wherein it usually describes a value of a subject as what is perceived by our senses. On the other hand, a quantitative data revolves around any variables that are considered to be measured wherein examples of which are temperature, length and width.

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3 years ago