Answer:
The answer is 5,004,300
Step-by-step explanation:
Always remember it goes units, tens, hundreds, thousands, ten-thousands, hundred-thousands, millions and so on.
Therefore, Start from right to left:
Substitute the units and tens for 0
"3 hundred" = 300
"4 thousand" = 4,300
Substitute the ten-thousand and hundred-thousand for 0
"5 million" = 5,004,300
Therefore, that's how you get your answer.
Answer:
c 2 1/2
Step-by-step explanation:
Answer:
y = 3(x + 15)^2 - 625
Step-by-step explanation:
y = 3x^2 + 90x + 50
To complete the square, the coefficient of the x^2 term must be 1. We have 3x^2, so we factor out a 3 from the first two terms.
y = (3x^2 + 90x) + 50
y = 3(x^2 + 30x) + 50
To complete the square, square half of the coefficient of the x term. The x term is 30x. Half of 30 is 15. 15 squared is 225.
Since you are adding 225 inside the parentheses, and the quantity in parentheses is being multiplied by 3, you have really added 3 * 225 = 675 to the polynomial, so you must subtract 675 from the polynomial to keep it equal.
y = 3(x^2 + 30x + 225) + 50 - 675
Now we change the trinomial which is perfect square into the square of a binomial.
y = 3(x + 15)^2 - 625
Answer:
310 inches²
Step-by-step explanation:
Given: A rectangular prism cage has a height of 28 inches.
Volume of prism is 8680 cubic inches.
We know the area of base of rectangular prism is equal to the area of rectangle.
∴ Lets find out the lenght and width of rectangular prism.
Volume of rectangular prism=
Where, w is width
l is length
h is height.
Now, putting the value in the formula of volume.
⇒
cross multiplying
⇒
∴ wl= 310 inches²
As we need to find the area of the plastic mat on the bottom of the cage, which is rectangle in shape.
Area of rectangle=
∴ Area of rectangle= 310 inches²
Hence, 310 inches² is the area of the plastic mat on the bottom of the cage.