Answer:
347 is the initial spider population
Step-by-step explanation:
y = ab^x
is the formula for exponential growth and decay
a = the initial value
b is the growth or decay rate
b>1 it is the growth rate (b-1) is the percent
0<b<1 it is the decay rate (1-b) is the percent
y = 347(1.2)^x
347 is the initial spider population
(1.2-1) = .2 = 20 % growth rate
Answer:
P'=(0,3)
Step-by-step explanation:
P'=(-5+5, 7-4)
Answer: 19.2inches³
Step-by-step explanation:
The volume of a cone is calculated as:
= 1/3πr²h
where,
π = 3.14
r = radius = diameter/2 = 3.5/2 = 1.75
h = height = 6
Volume = 1/3πr²h
= 1/3 × 3.14 × 1.75² × 6
= 19.2325
= 19.2inches³
Therefore, the volume of the cone-shaped sandwich is 19.2inches³.
Answer:
Y = x y = kx. When the equation that describes direct variance is graphed in the Cartesian Plane, there is always a straight line moving through the origin. Think of it as the Slope-Intercept Shape of a line written as y = mx + b y = mx + b.
Step-by-step explanation:
Answer:
Step-by-step explanation:
From the table attached,
x-intercept of the linear function is, the value of 'x' when f(x) = 0
x = 3 [x-intercept]
Function 'g' is the sum of 2 and the cube root of the sum of three time x and 1.
g(x) = ![2+\sqrt[3]{3x+1}](https://tex.z-dn.net/?f=2%2B%5Csqrt%5B3%5D%7B3x%2B1%7D)
For x-intercept,
g(x) = 0
![2+\sqrt[3]{3x+1}=0](https://tex.z-dn.net/?f=2%2B%5Csqrt%5B3%5D%7B3x%2B1%7D%3D0)
3x + 1 = (-2)³
3x + 1 = -8
3x = -8 - 1
3x = -9
x = -3
Therefore, the x-intercept of function 'f' is different or greater than the x-intercept of function g.
