Find the unit rate:
-1.2 tons
------------- = -0.15 ton/day, or -3/20 ton/day
8 days
Answer:
35
Step-by-step explanation:
6 pies = 21 cups of apples
1 pie = 3.5 cups of apples
10 pies = 35 cups of apples
The scientific notation of 0.25 is 2.5 x 10⁻¹
Scientific notation is used to handle numbers that are very big or very small.
It has 3 parts, the coefficient, the base and the exponent.
There must be 1 digit before the decimal point in the coefficient.
10 is always the base
the exponent signifies the number of places the decimal has moved from its original location to the location before 1 digit. Positive exponent signifies that the decimal point is shifted to the right. Negative exponent signifies that the decimal point is shifted to the left.
In the above scientific notationl
2. 5 is the coefficient
10 is the base
-1 is the exponent. the decimal point shifted one place to the left.
Answer:
He bought 24 hotdogs, 3 packs of hot dogs, and 2 packs of buns.
Step-by-step explanation:
24 is the least common denominator of 8 and 12. To get 24, you would multiply 8 by 3 and 12 by 2.
Let's define the vectors:
U = (4.4)
V = (3.1)
The projection of U into V is proportional to V
The way to calculate it is the following:
Proy v U = [(U.V) / | V | ^ 2] V
Where U.V is the point product of the vectors, | V | ^ 2 is the magnitude of the vector V squared and all that operation by V which is the vector.
We have then:
U.V Product:
U.V = (4,4) * (3,1)
U.V = 4 * 3 + 4 * 1
U.V = 12 + 4
U.V = 16
Magnitude of vector V:
lVl = root ((3) ^ 2 + (1) ^ 2)
lVl = root (9 + 1)
lVl = root (10)
Substituting in the formula we have:
Proy v U = [(16) / (root (10)) ^ 2] (3, 1)
Proy v U = [16/10] (3, 1)
Proy v U = [1.6] (3, 1)
Proy v U = [1.6] (3, 1)
Proy v U = (4.8, 1.6)
Answer:
the projection of (4,4) onto (3,1) is:
Proy v U = (4.8, 1.6)
