Answer: 1,162.9 cm3
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Volume of a square pyramid: 1/3 x base area x height
Where
base area = base side length ^2
Replacing with the value given:
Base area = 15.9^2
base area : 252.81 cm2
Back with the volume formula:
V = 1/3 x base area x height
Replacing with the values given and solving for V (volume)
V = 1/3 x 252.81 x 13.8 = 1,162.9 cubic centimeters
Feel free to ask for more if needed or if you did not understand something.
Step-by-step explanation:
the volume of this object is the sum of the volume of the 2 blocks.
the large block is a cube of 4×4×4 = 64 ft³
the small block is 1×1×2 = 2 ft³
so, in total, he can fit 64+2 = 66 ft³ of plaster into the mold.
F(-x)=-x+(12/-x)=-x-12/x
odd function
9514 1404 393
Answer:
[[274][895][136]]
Step-by-step explanation:
Starting with the middle row, we need a product of two single-digit numbers that is between 53-1 = 52 and 53-9 = 44. Possible products are 5×9=45 and 6×8=48. This means the number in the middle position in the left column must be 8 or 5.
The middle number in the left column cannot be 5, because we must be able to get -5 by subtracting that number from a sum that is at least 3 = 1+2. So, the middle number in the left column is 8, the other two numbers in that column are 1 and 2, and the other two numbers in the middle row are 5 and 9.
There is no product of single-digit numbers that is 30-1 = 29, so the upper left number must be 2, and the bottom left number must be 1. The other two numbers on the top row must be 4 and 7, so that row's equation is 2+4×7=30.
The only remaining digits are 3 and 6. In order to have -3 on the bottom row, the equation there must be 1×3-6 = -3. Then the middle digit must be divisible by 3, so must be 9.
Our solution is ...
row 1: 2 + 7 × 4 = 30
row 2: 8 + 9 × 5 = 53
row 3: 1 × 3 - 6 = -3
And that makes the column equations be ...
col 1: 2 - 8 + 1 = -5
col 2: 7 + 9 / 3 = 10
col 3: 4 × 5 - 6 = 14
Answer:
Sales are expected to increase positively.
Step-by-step explanation:
The model is y =7-3*X1+5*X2
Here, y is the depended variable and X1 and X2 are independent variable.
Holding the unit price constant X2 (television advertisement) is increase by $1 dollar
SSR= 3500
SSE=1500
So, TSS = SSR+SSE = (3500+1500) = 5000
Now r^2= 1 - (SSR/TSS) = 1 - (3,500/5,000) = 1 - 0.70 = 0.30
So, the sample correlation coefficient (r) = (0.3)^(1/2) = 0.547
We can conclude that sample correlation indicates a strong positive relationship.
