The answer to this question is A
Hi!
You're tripling three dimensions in this case; the length, the width, and the height. Since you're tripling all three of them, and not just one, you don't multiply the original by 3 just once, you multiply it by 3, three times, for all 3 dimensions.
You can use 3 ^ 3, or 3 * 3 * 3, to figure out how much you have to multiply the original by, since you're multiplying 3 by itself 3 times.
3 * 3 * 3 = 27
So you want to multiply the original value, in this case 200, by 27.
200 * 27 = 5,400 toothpicks
Hope this helped!
Answer:
The volume of the rectangular pyramid is 80cm³
Step-by-step explanation:
To calculate the volume of a rectangular pyramid we have to use the following formula:
v = volume
w = width = 8 cm
l = length = 6 cm
h = height = 5 cm
v = (w * l * h) / 3
we replace the values that we know
v = (8cm * 6cm * 5 cm) / 3
v = 80cm³
The volume of the rectangular pyramid is 80cm³
Answer:
Equation ⇒ y = 50x + 100
The initial value = 100
Rate of change = 50
Step-by-step explanation:
The rest of the question is the table:
Hours: 1 3 5 ⇒ x
Number of people: 150 250 350 ⇒ y
By graphing the points as (x,y) ⇒ (1,150) , (3,250) and (5,350)
The table will represent a linear function
The general equation of the line ⇒ y = mx + c
where m is the rate of change
And c is the y-intercept or the initial value.
m = (y₂ - y₁)/(x₂ - x₁) = (350 - 250)/( 5 - 3) = 100/2 = 50
∴ y = 50x + c
at x = 1 y = 150
∴ 150 = 50 + c
∴ c = 150 - 50 = 100
∴ y = 50x + 100
See the attached figure.
The situation could represents a general institution introduces services to the people, at the beginning there are 100 people , and each hour the number of people increases 50 persons.
49 is prime bcuz it can't be halfed