Answer:
-12
Step-by-step explanation:
6 times -2 is -12.
_____
"Lowers by 2°" can be represented by an integer of -2.
<span>9d + d + 2d - 4 = 6d
Add d to 9d
10d+2d-4=6d
Add 2d to 10d
12d-4=6d
Subtract 12d from both sides
-4=-6d
Divide -6 on both sides
Final Answer: 4/6 or 2/3 *Both answers are equivalent to each other.</span>
Given:
6 male professores
9 female professores
5 male teaching assistants
6 female teaching assistants
Sol:.

N (professors)

N(Male)

N(professors and male)

N(professors OR male) = N(professors) + N(males) -N(professor OR male)

N(People to choose from)

Then probablitiy is:

Then the probability is 10/13
Functions can be used to model real life situations.
The hose is 3.2 feet above the ground, at a horizontal distance of 4 fee
The function is given as:

At a horizontal distance of 4 feet, the value of x is 4
i.e. 
Substitute 4 for x in f(x).
So, we have:

Evaluate the exponent

Open both brackets

Add -4.8 and 8

Hence, the hose is 3.2 feet above the ground
Read more about functions at:
brainly.com/question/10837575
Answer:
1832 miles
Step-by-step explanation:
First we need to find the angle between the routes of the planes.
If one is N30°W and the other is S45°W, we can find the angle between the routes with the following equation:
30 + angle + 45 = 180
angle = 105°
Then, we need to find the distance travelled by each plane, using the formula:
distance = speed * time
The time is 1.5 hours, so we have that:
distance1 = 800 * 1.5 = 1200 km
distance2 = 750 * 1.5 = 1125 km
Now, to find the distance between the planes, we can use the law of cosines:
distance^2 = 1200^2 + 1125^2 - 2*1200*1125*cos(105)
distance^2 = 3356214.43
distance = 1832 miles