Answer:
<h3>9 months</h3>
Step-by-step explanation:
Given the relationship of the dogs weight ang its age modeled by the equation;
w = 6m+4
m represents its age in months, and;
w represents its weight in pounds
Given
w = 58pounds
Required
number of months m before the dog weigh 58pounds;
Substitute w = 58 into the function and get m as shown;
w = 6m + 4
58 = 6m + 4
subtract 4 from both sides
58-4 = 6m+4-4
54 = 6m
divide both sides by 6
54/6 = 6m/6
9 = m
m = 9
Hence it will take 9months before the dog will weigh 58 pounds
Answer:
(30,35,0)
Step-by-step explanation:
We are given that


The velocity of particle,
Substitute 


The tangent line at t=3 is given by

Now, substitute t=4


Hence, the position of particle at
=(30,35,0)
Answer:
B = 160°
Step-by-step explanation:
This is how I solved it (I hope the explanation isn't too confusing):
Since L and K are parallel, I drew a straight line from A to B. By doing this, I'm making a triangle: ΔABC
Then I solved for the angles of the triangle. First, we are given that ∠C = 80° and ∠A = 120°. Although, when I drew the vertical line from A to B, it made a 90° (see attachment).
So what we basically did was break ∠A into two parts: an angle inside ΔABC and one outside. To find the interior angle, simply subtract 90° from 120° to get 30°.
There are 180° in a triangle, so add the two interior angles you know:
30° + 80° = 110°
Then subtract 110° from 180° to find the final interior angle which is:
180° - 110° = 70°.
To find the measure of angle B, you must add all of the parts together, so the 90° outside angle and the 70° interior angle:
90° + 70° = 160°
Answer:
1/4
Step-by-step explanation:
There are 3 even numbers of the 6 numbers on a die.
(1,2,3,4,5,6) are the possible numbers. 2,4,6 are even
P( even number ) = 3/6 = 1/2
P (heads) = 1/2
Since they are independent events, we can multiply the probabilities together
P (even, heads) = 1/2 * 1/2 = 1/4
You think I know right? yeah so no way boy I'm so sorry not my intencion