Answer:
x=12
Step-by-step explanation:
First you make sure x is on both sides of the equation. So you do 0.7x-5-0.2x=0.2x+1-0.2x. Which just simplifies to 0.5x-5=1. You make sure x is the only thing on that side of the equation so you do 0.5x-5+5=1+5 which simplifies to 0.5x=6. Multiply the equation times 2 to just have x. x=12. The value that makes true of x is 12.
Answer:
The time it will take the population to grow to 800 insects is 17 days.
Step-by-step explanation:
The growth function of the insects is exponential.
The exponential growth function is:

Here,
<em>y</em> = final value
<em>a</em> = initial value
<em>r</em> = growth rate
<em>t</em> = time taken
It is provided that there were 270 insects after 9 days and initially there were 80 insects.
Compute the value of <em>r</em> as follows:

Now, compute the time it will take the population to grow to 800 insects as follows:

Thus, the time it will take the population to grow to 800 insects is 17 days.
Answer:
It's a rotation clockwise of 90 degrees about the origin.
Step-by-step explanation:
The given point moves from y = 5 to x = 5 so it has passed through 90 degrees about the origin.
It's a rotation clockwise of 90 degrees about the origin.
The value of θ from the given equation is 48.59degrees
<h3>Trigonometry identity</h3>
Given the trigonometry function
Sin(θ)=3/4
We are to find the value of theta that will make the expression true
Take the arcsin of both sides
arcsin Sin(θ)= arcsin(3/4)
θ = arcsin(3/4)
θ = 48.59
Hence the value of θ from the given equation is θ = 48.59 defense
Learn more on trig identity here:brainly.com/question/7331447
Answer:
-72
Step-by-step explanation: