Answer:
144
Step-by-step explanation:
First, do the top and bottom. The top is 2*4*3 or 24, and the bottom is 6*4 or 24.
Now, do the sides. It is a staircase that you can split into 6 2x2 blocks, or 6*4=24. Do the same with the other side to get 24 again.
Now for the front and back. This is 2*4*3 and 6*4 again, or 24 and 24.
Now you have 6 24's so just multiply these and get 144.
Answer:
<u>(-7,-3)</u>
Step-by-step explanation:
step one) solve one equation for x.
y=-3x
-3x/-3=y/-3
x=(-y/3)
step two) plug in x for the other original problem.
y=x-4
y=(-y/3)-4
step three) solve for y.
y=(-y/3)-4
y+4=(-y/3)-4+4
3*(y+4)=(-y/3)*3
3y+12=-y
(3y+12)-3y=-y-3y
12/-4=-4y/-4
y=-3
step four) plug in -3 for y and solve for x.
y=x-4
-3=x+4
-3-4=x+4-4
-7=x
<em>I am in algebra two so you can trust my answer. if you need more help lmk in the comments. happy holidays and stay safe!</em>
Answer:
a
Step-by-step explanation:
Given the first term at t₀ is 6 and the second term at t₃ is 32, let's take rabbit population as a function of time to be:
y = abˣ
where y is the population at time x and a the initial population at t₀
32 = 6b³
b = 1.75
Now we replace b in the population function:
y = 6(1.75)ˣ regression for the rabbit population as a function of time x.
The exponential function in terms of base is usually expressed as:
A = A₀e^kt
Hence, the regression equation in terms of base e is:
We substitute en last function, y - value with any number higher than 10,000 to estimate the time for the rabbits to exceed 10,000.
Hence, it takes approximately 13.3 months for the population to exceed 10000
Answer:
72
Step-by-step explanation:
180/2.5
= 72
