4/10= 0.4
So if 0.4x10=4, That means that 4. Is 4/10 of 10.
Answer:
Octagonal pyramid
Step-by-step explanation:
Hexagonal Prism: 8 faces
2 hexagon bases, and 6 faces that connect each side of the bases
Octagonal pyramid: 9 faces
One octagon base, and 8 faces that meet at a point- all extending from each side of the base
Rectangular prism: 6 faces
Two rectangle bases, and 4 faces connecting each side of the bases
Pentagonal pyramid: 6 faces
One pentagon base, and 5 faces that meet at a point- all extending from each side of the base
I recommend searching for a picture of each of the figures to help you understand this.
Answer: N(t) = (2^t)*1500
Step-by-step explanation:
Let's define the hour "zero" as the initial population.
So if N(t) is the number of bacteria after t hours, then:
N(0) = 1500.
Now, we know that the population doubles every hour, so we will have that after one hour, at t = 1
N(1) = 2*1500 = 3000
after two hours, at t = 2.
N(2) = 2*(2*1500) = (2^2)*1500
After three hours, at t = 3
N(3) = 2*(2^2)*1500 = (2^3)*1500
So we already can see the pattern, the number of bacteria after t hours will be:
N(t) = (2^t)*1500
First off, the underline underneath means plus or minus, since when you take the square root of something, the answer can be negative or positive at the same time
1. 64 is a perfect square. 8 x 8 = 64, therefore it is +- (plus or minus) 8.
2. 45 is not a perfect square, so you can pull out numbers or plug into a calculator and estimate.
Both answers: Since 45 is divisible by 9 and five, you can break a nine into two threes, therefore pull it out, and since the answer is negative, you get:
-3(5)^0.5 (an exponent of one-half or 0.5 means square root)
If you solve by calculator, the answer is ~= (approximately equal to) -6.72
3. Since 90 is not a perfect square, repeat the previous question. 9 can go into 90, therefore you can pull out two threes and are left with: +-3(10)^0.5
Using the calculator, you get ~= +-9.49
Answer: D
Step-by-step explanation: 5d^2 and d^2 share the same variable
