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:
y = 17x
Step-by-step explanation:
There is only solutions to the systems of equations - y = x -2 & y = -x + 2. We can find this by looking at the slopes of each line, which is 1 and -1. They are not negative reciprocals or the same exact slope, which would give the system of equations no solutions. Since the lines are not exactly the same, the system does not have infinitely many solutions. A system of LINEAR equations cannot have two solutions, giving us an answer of only one solution. Hope this helps!
Answer:
40,000 baldosas
Step-by-step explanation:
Lo primero que debemos hacer aquí es calcular el área del patio rectangular.
El mejor enfoque para esto es convertir primero sus medidas a centímetros
Matemáticamente, 100 cm = 1 m, entonces 10 m se convierten en 1000 cm y 12 m se convierten en 1200 m.
El área de un rectángulo es L * B y, por lo tanto, tenemos 1200 * 1000 = 1,200,000 cm ^ 2
Ahora, para saber la cantidad de azulejos que tendrá el patio, necesitaremos dividir el área del patio por el área de los azulejos
Matemáticamente, eso sería 1,200,000 / 30 = 40,000 fichas
Answer:
- sin(x) = 1
- cos(x) = 0
- cot(x) = 0
- csc(x) = 1
- sec(x) = undefined
Step-by-step explanation:
The tangent function can be considered to be the ratio of the sine and cosine functions:
tan(x) = sin(x)/cos(x)
It will be undefined where cos(x) = 0. The values of x where that occurs are odd multiples of π. The smallest such multiple is x=π/2. The value of the sine function there is positive: sin(π/2) = 1.
The corresponding trig function values are ...
tan(x) = undefined (where sin(x) >0)
sin(x) = 1
cos(x) = 0
__
And the reciprocal function values at x=π/2 are ...
cot(x) = 0 . . . . . . 1/tan(x)
csc(x) = 1 . . . . . . .1/sin(x)
sec(x) = undefined . . . . . 1/cos(x)
