Divide: 8x^3 y^5 / 4x^2 y^3

This graph shows which inequality?<br>**one is the graph and the other are answers*

EastWind [94]

Answer:

It is Greater than or equal to -3

C

Reason:

A filled dot means greater/less than or equal to.

4 0

3 years ago

Read 2 more answers

Scenario: Two people in a major city with a population of 450,000 get infected with a rapidly spreading virus. If each day the i

zmey [24]

1) See attachment.

2) See attachment

3) $y=2^{x+1}$

4) 17.8 days

Step-by-step explanation:

1)

The table is in attachment.

In this problem, we are told that the initial number of people infected ad day zero is two, so the first row is (0,2).

Then, we are told that each day, an infected person infects 2 additional people. Therefore, at day 1, the number of infected people will be 2*2=4.

Then, each of the 4 persons infect 2 additional persons, so the number of infected people at day 2 will be 4*2=8.

Continuing the sequence, the following days the number of infected people will be:

8*2 = 16

16*2 = 32

32*2 = 64

2)

The graph representing the situation is shown in attachment.

On the x-axis, we have represented the day, from zero to 5.

On the y-axis, we have represented the number of infected people.

We see that the points on the graph are:

0, 2

1, 4

2, 8

3, 16

4, 32

5, 64

3)

Here we have to create a mathematics model (so, an equation) representing this scenario.

First of all, we notice that the number of infected people at day 0 is 2:

$p(0)=2$

To write an equation, we call $x$ the number of the day; this means that at x = 0, the value of y (number of infected people) is 2:

$y=2$

Then, at day 1 (x=1), the number of infected people is doubled:

$y(1)=2y(0)=2\cdot 2 = 4$

And so on. This means that for each increase of x of 1 unit, the value of y doubles: so, we can represents the model as

$y=2\cdot 2^x$

Or

$y=2^{x+1}$

4)

Here we are told that the entire city has a population of

p = 450,000

people.

In order for the virus to infect the whole population, it means that the value of y must be equal to the total population:

y = 450,000

Substituting into the equation of the model, this means that

$450,000 = 2^{x+1}$

And solving for x, we find the number of days after which this will happen:

$log_2(450,000)=x+1\\x=log_2(450,000)-1=17.8 d$

So, after 17.8 days.

8 0

3 years ago

What value of a makes the solution to the equation 5x-10=3x+a equal to 12

Illusion [34]

Answer:

a=-1.2

Step-by-step explanation:

5x-10=3x+a=12

let's first find x:

5x-10=12

add 10 to both sides:

5x=22

divide both sides by 5:

x=4.4

now that we know what x is, we can plug it back into the equation to find a:

3*4.4+a=12

first, simplify both sides:

13.2+a=12

then, subtract 13.2 from both sides:

and our answer is: a=-1.2

6 0

3 years ago

An artifact is discovered at a certain site. if it has 59% of the carbon-14 it originally contained, what is the approximate age

Lapatulllka [165]

0.59 = (1 - 0.000125)^^x where x = number of years of decay

ln 0.59 = x ln(0.999875)

x = 4221 to nearest year

5 0

3 years ago

PLSSS HELPPP I WILL GIVE BRAINLIESTTTT!!!!!!!

Ksenya-84 [330]

Answer:

yes to both

Step-by-step explanation:

For a relationship to be a function then each value of x must relate to exactly one unique value of y.

This is the case in this table as

2 → 76

4 → 152

6 → 228

All unique values thus a function

To determine if it is linear then the rate of change is constant for each set of ordered pairs. This is measured using the slope formula.

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (2, 76) and (x₂, y₂ ) = (4, 152 ) ← ordered pair from table

m = $\frac{152-76}{4-2}$ = $\frac{76}{2}$ = 38

Repeat with (x₁, y₁ ) = (4, 152) and (x₂, y₂ ) = (6, 228)

m = $\frac{228-152}{6-4}$ = $\frac{76}{2}$ = 38

Since rate of change is constant then function is linear

8 0

2 years ago