Answer:
Step-by-step explanation:
Eight
590 = 1800 e^(-0.4t) Divide by 1800
0.32778 = e^(-0.4t) Put the value for e in the denominator.
0.32778 = 1 / e^(0.4t) Notice the sign's gone. Multiply both sides by e^(0.4t)
0.32778 *e^(0.4t) = 1 Divide by 0.32778
e^(0.4t) = 3.0508 Take the natural log of both sides.
0.4t = 1.11542 Divide both sides by 0.4
t = 2.78855
You should put this in the original equation to see if it checks. It does.
=============================
Nine
3^(3 - 3x) + 6 = 42 Subtract 6 from both sides
3^(3 - 3x) = 36 Take the log of both sides.
(3 - 3x) ln(3) = ln 36
(3 - 3x) *1.098612 = 3.58352 Divide by 1.098612
3 - 3x = 3.26186 Subtract 3 from both sides
- 3x = 0.26186 Divide by - 3
x = - 0.087287
The level of measurement of each given variable are:
1. Ordinal
2. Nominal
3. Ratio
4. Interval
5. Ordinal
6. Nominal
7. Ratio
8. Interval
Level of measurement is used in assigning measurement to variables depending on their attributes.
There are basically four (4) levels of measurement (see image in the attachment):
1. <u>Nominal:</u> Here, values are assigned to variables just for naming and identification sake. It is also used for categorization.
- Examples of variables that fall under the measurement are: Favorite movie, Eye Color.
<u>2. Ordinal:</u> This level of measurement show difference between variables and the direction of the difference. In order words, it shows magnitude or rank among variables.
- Examples of such variables that fall under this are: highest degree conferred, birth order among siblings in a family.
<u>3. Interval Scale:</u> this third level of measurement shows magnitude, a known equal difference between variables can be ascertain. However, this type of measurement has <em>no true zero</em> point.
- Examples of the variables that fall here include: Monthly temperatures, year of birth of college students
4. Ratio Scale: This scale of measurement has a "true zero". It also has every property of the interval scale.
- Examples are: ages of children, volume of water used.
Therefore, the level of measurement of each given variable are:
1. Ordinal
2. Nominal
3. Ratio
4. Interval
5. Ordinal
6. Nominal
7. Ratio
8. Interval
Learn more about level of measurement here:
brainly.com/question/20816026
Answer:
subtract 27 from 85
Step-by-step explanation:
85
-27
———
58
7 cannot be subtracted from 5 so borrow a 10 to make it 7 subtracted from 15 and then the 8 tens becomes 7 tens so 7-2=5
58+27=85 to check your work
Answer:
110 Degrees
Step-by-step explanation:
The sum is when different numbers are added.
When all angles are added it adds up to 180 Degrees for any triangle.
Triangles have three sides and two are given as 50 Degrees and 20 Degrees.
There is one angle remaining.
50 Degrees + 20 Degrees = 70 Degrees
Therefore, the last angle must be 110 Degrees. (180-70)