Missing information:
How fast is the temperature experienced by the particle changing in degrees Celsius per meter at the point
Answer:
Step-by-step explanation:
Given
Express the given point P as a unit tangent vector:
Next, find the gradient of P and T using:
Where
So: the gradient becomes:
By vector multiplication, we have:
Hence, the rate is:
Answer:
They won 63 and lost 84.
Step-by-step explanation:
147 in 7 parts
1 part= 21
ratio of 3 parts to 4 parts
3 parts=63
4 parts=84
Answer:
The greatest common factor is 8xyz
Step-by-step explanation:
To find the greatest common factor of an expression involving numbers and variables, we find each greatest common factor separately.
Numbers:
48, 24 and 56.
We find the greatest common factor factoring them simultaneously while all can be factored by the same number. The GCF is the multiplication of the factors. So
48 - 24 - 56|2
24 - 12 - 28|2
12 - 6 - 14|2
6 - 3 - 7|
They cant be factored by the same factors anymore, so the numeric GCF is 8.
Variables:
For each variable, the GCF will be the lowest exponent.
Variable x: We have exponents 1, 2 and 2. So the GCF is
Variable y: We have exponents 3, 3 and 1. So the GCF is
Variable z: We have exponents 1, 1 and 1. So the GCF is
The greatest common factor is:
X - 3 < 5
Add 3 to both sides.
x < 8
Open circle on 8. Shade to the left.
Answer: The first option.
Answer:
No mode
Step-by-step explanation:
- Mode is the value that occurs most often in a set of data values
- If there are no values repeated in a set of data values then there is no mode