What is a rule that represents the function, (0,1), (1,3), (2,9), (3,27), (4, 81)?
alekssr [168]
Answer:
y=3x+1
Step-by-step explanation:
Answer:
24 teaspoons of red paint would be needed.
Step-by-step explanation:
Given that the initial mixture contains 8 teaspoons of red paint and 12 teaspoons of blue paint, this mixture contains a total of 20 units of paint, of which 8 are red, that is, 8 out of 20. Therefore, the proportion of red paint is 40%, while the proportion of blue paint is 60% remaining.
Therefore, in the case of making the same mixture (with the same proportion) using 36 teaspoons of blue paint, the necessary amount of red paint is determined through the following calculation:
60 = 36
40 = X
((40 x 36) / 60) = X
1,440 = 60 = X
24 = X
Thus, 24 teaspoons of red paint would be needed.
Answer:
Geometric sequence
Step-by-step explanation:
According to the scenario, computation of the given data are as follows:
Leaves on tree this year (a) = 500
Rate of increase in leaves per year (r) = 40 % or 0.4
Let n be the number of years.
So we use exponential growth formula, i.e.
f(n) = a(1+r)^n
by putting the value, we get
f(n) = 500 ( 1+0.4)^n
or f(n) = 500 (1.4)^n
So, the common ration is 1.4.
Thus, it shows a geometric sequence.
Prime polynomial cannot be factorized into the product of two polynomials of lesser degree. Example: x2+x+1. Good luck.
Volume of a Rectangular Prism = Length * Width * Height
Step 1:
Double your dimensions
5 cm x 2 = 10 cm
3 cm x 2 = 6 cm
4 cm x 2 = 8 cm
Step 2:
Multiply them together
Volume = 10 x 6 x 8
Volume = 60 * 8
Volume = 480 cm^3
