Answer:
Step-by-step explanation:
The mentioned relationship for the weight, in pounds, of the kitten with respect to time, in weeks, is
Weight of the kitten after 10 weeks
pounds
This modeled equation is based on the observation of the early age of a kitten where the kitten is in its growth period, but in the early stage the growth rate in the weight of the kitten was the same but the growth of any living beings continues till the adult stage. So, after some time, in real life situation, this weekly change in weight will become zero, So, this model is not suitable to measure the weight of the kitten over the larger time period.
Here, t= 10 weeks is nearby the observed time period, so the linearly modeled equation can be used to predict the weight.
Hence, the weight of the kitten after 10 weeks is 16.5 pounds.
a, b, c - side lengths (a ≤ b ≤ c)
If 
, then is Obtuse triangle.
If 
, then is Right triangle.
If 
, then Acute triangle.
Check to see if the sum of the first two sides is greater than the third.
, therefore is Scalene triangle.
It's Obtuse triangle.
Answer:
ascend
Step-by-step explanation:
There are a couple of ways to figure this. One is to look at the partial derivative ...
The sign of it is negative, so when y decreases, z increases. Going south means decreasing the y-coordinate, so moving in that direction will cause you to ascend.
__
Another way to figure this is to evaluate z for some small movement in the southerly direction. In the attached, we find that moving 1 m south to (120, 79, 1165.59) causes an elevation increase of about 1.6 m. Walking south causes you to ascend.
Note that this is consistent with our first result, as -0.02y = -0.02(80) = -1.6. So a change in y of -1 should cause a change in z of about (-1.6)(-1) = 1.6.
Answer:
3.2 units
Step-by-step explanation:
Given that:
WY bisects UV at Y.
and
,
To find: UV = ?
Solution:
First of all, let us draw the diagram of the given dimensions and bisector line WY of UV.
As UV is bisected i.e. divided in two equal parts at Y by the line WY
Therefore, UY = YV
UV = UY+YV
OR
<em>UV = 2 YV</em>
Now, let us put the given values to solve for 
:
Now, we are given that:
Putting value of as solved in above step to get the value of UV:
So, answer is <em>UV = 3.2 units</em>
Answer:
Simplifying
3n + 7 = 30
Reorder the terms:
7 + 3n = 30
Solving
7 + 3n = 30
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '-7' to each side of the equation.
7 + -7 + 3n = 30 + -7
Combine like terms: 7 + -7 = 0
0 + 3n = 30 + -7
3n = 30 + -7
Combine like terms: 30 + -7 = 23
3n = 23
Divide each side by '3'.
n = 7.666666667
Simplifying
n = 7.666666667
Step-by-step explanation:
