Answer:
y = mx+b is the equation for slope-intercept form
Step-by-step explanation:
m=slope
x=independent variable
y= y-intercept
Answer:
5.5
Step-by-step explanation:
The volume of a sphere is represented by the formula 4/3πr^3. So, if we set 4/3πr^3 equal to 2048/3, we can start solving. Start by multiplying both sides by 3/4, the reciprocal of 4/3 to get rid of the fraction. This gives us πr^3 = 512. Divide 512 by π to get 163.1 (when rounded to the nearest tenth). This leaves us with r^3 = 163.1; find the cubic root of 163.1, which is 5.5, to get r
(a more exact answer is 5.4631958645870141851784948846314)
Answer:
a_n=224(1/2)^n-1
Step-by-step explanation:
In this geometric sequence, we can see that the common ratio is 1/2 and the 1st term is 224. using this information, we can plug it into the geometric series formula and we get a_n=224(1/2)^n-1.
The answer to all of them is in the picture. Let me know if you have any other question.
Answer: The height of the model on the right is 22.5 cm .
Step-by-step explanation:
We can see that , the given different models of the same triangular-shaped garden are similar.
For the first model 1 cm = 3.75 m
whereas for the second model 1 cm = 2.5 m
Now , the constant rate of proportion for this (k) = 
Now , if height of the model on the left is 15 cm , then the height of the model on right = 15 x k
= 15 x 1.5
= 22.5 cm
Hence, the height of the model on the right is 22.5 cm .