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2 years ago

What is an open sentence in math? And how is it different from true or false?

1 answer:

5 0

An open sentence in math means that it uses variables, meaning that it is not known whether or not the mathematical sentence is true or false.

A closed sentence, on the other hand, is a mathematical sentence that is known to be either true or false

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A bacteria population is 10,000 when it first measured and then doubles each day

kotykmax [81]

Keep adding by the same value everytime so start with 10,000 then add 20,000 etc

4 0

2 years ago

Solve for x<br><br> 1/5(2/3x - 1/2) > x + 1/3

taurus [48]

Answer:

x<-11/26

Step-by-step explanation:

1/5(2/3x-1/2)>x+1/3

2/15x-1/10>x+1/3

2/15x-x>1/3+1/10

-13/15x>11/30

x<(11/30)(-15/13)

x<-11/26

3 0

1 year ago

During the first decade of the century, the population of a certain city was 145,380 in 2000 and 219,135 in 2010. Find the expon

Likurg_2 [28]

Answer:

The exponential growth function is $P=145380e^{0.04103t}$

Step-by-step explanation:

Given: The population of a certain city was 145,380 in 2000 and 219,135 in 2010.

To find: exponential growth function that models the growth of the city

Solution:

The exponential growth function is given by $P=P_0 e^{kt}$

Here, P denotes total population after time t

$P_0$ denotes initial population

k denotes rate of growth

t denotes time

As $P(0)=145,380$ ,

$145380=P_0e^{0}\\145380=P_0\\P=145380e^{kt}$

As $P(10)=219135$

$219135=145380e^{10k}\\e^{10k}=\frac{219135}{145380}\\=1.507326\\k=\frac{1}{10}\ln (1.507326)\\=0.04103\\\Rightarrow P=145380e^{0.04103t}$

8 0

2 years ago

What is the value of x in the equation x+7=−213 x+7=−2

MariettaO [177]

Answer:

Step-by-step explanation:

⅓x + 7 = -2

isolate the x term by subtracting 7 from both sides

⅓x = -9

Multiply both sides by 3

x = -27

6 0

2 years ago

Ari is jogging at an average rate of 2.25 meters per second. Find the time it will take him to jog 270 meters.

Vera_Pavlovna [14]

Answer:

120 seconds/2 minutes

Step-by-step explanation:

divide the distance (270 m) by the rate (2.25 m/s) and you have 270/2.25 = 120 seconds, or 2 minutes.

3 0

2 years ago