Answer:
15i
Step-by-step explanation:
-3+7i+3+8i
0+15i
Answer:
Given:
howler monkey: {15, 16, 17, 17, 17, 17, 18, 19}
spider monkey: {12, 13, 13, 14, 14, 14, 16, 16}
The mean of the first set (howler monkey) = (15 + 16 + 17 + 17 + 17 +17 + 18 + 19)/ 8
The sum of all weights is divided by the number of monkeys weighed (n = 8)
mean = 17
Do the same for the second set (spider monkey) = 12+ 13 + 13+ 14 + 14+ 14 +14 +16 + 16 / 8
mean = 15.75
the ratio of the two is 17:15.75 or 1.08 is to 1
the MAD for the howler monkey is 0.75
Answer:
108 pounds of mulch.
64 pounds of gravel.
Step-by-step explanation:
Let x be the amount of mulch sold and y be the amount of gravel sold.
We have been given that a supplier sells 2 1/4 pounds of mulch for every 1 1/3 pounds of gravel.
We can represent this information as:
We are also told that the supplier sells 172 pounds of mulch and gravel combined. We can represent this information as:
From equation (1) we will get,
Substituting this value in equation (2) we will get,
Now let us have a common denominator.
Therefore, the supplier sold 64 pounds of gravel.
Upon substituting y=64 in equation (2) we will get,
Therefore, the supplier sold 108 pounds of mulch.
Answer:
10 squared units
Step-by-step explanation:
This triangle is pretty easy since it creates a right triangle. So the base length and height length are pretty easy to identify.
The area of a triangle is .5*base*height.
The base length after drawing the points is a horizontal so just count it or do 4-0=4.
The height length after drawing the points is a vertical so just count it or do 4-(-1)=4+1=5.
So the area of the triangle is .5*4*5=.5(20)=10 units squared.
Now if you didn't fill like drawing it and you knew how to find the determinant.
You just compute
.5 times det| 0 -1 1 |
| 0 4 1 |
| 4 -1 1 |
.5[ 0 det| 4 1 | - -1 det| 0 1 | + 1 det | 0 4 | ]
| -1 1 | | 4 1 | | 4 -1 |
.5[ 0 - -1(0-4) + 1(0-16)]
.5[ 0 -4 -16]
.5[-20]
-10
And if you get a negative just take the absolute value of it giving you 10.
1. Not rational
2. Rational
3. Not rational
4. Rational
5. Rational
6. Not rational
<em>(had help from a calculator, nonetheless hope it helps :D)</em>