Answer:
- Let p be the population at t be the number of years since 2011. Then,
- The projected population of the high school in 2015=1800
- In <u>2019</u> the population be 1600 students
Step-by-step explanation:
Given: The population at Bishop High School students in 2011 =2000
Also, Every year the population decreases by 50 students which implies the rate of decrease in population is constant.
So, the function is a linear function.
Let p be the population at t be the number of years since 2011.
Then,
So at t=0, p=2000
In year 2015, t=4, substitute t=4 in the above equation ,we get
Hence, the projected population of the high school in 2015=1800
Now, put p=1600 in the function , we get
Now, 2011+8=2019
Hence, in <u>2019</u> the population be 1600 students
Answer:
C
Step-by-step explanation:
For the given intervals
( - ∞, - 5) ← use any value < - 5 but not - 5, the parenthesis ) indicates that x is less than - 5 but not equal to - 5
(- 5, - 1) ← - 4, - 3, - 2 can be used but not - 5 or - 1
(- 1, 4) ← 0, 1, 2, 3 can be used but not - 1 or 4
(4, ∞ ) ← use any value > 4 but not 4
Hence
3 can be used in (- 1, 4)
- 6 can be used in (- ∞, - 5)
zero can be used in (- 1, 4)
- 5 cannot be used in any of the given intervals
Answer:
Step-by-step explanation:
To be right triangle has to verify the Pythagorean Theorem
hypothenuse² = (side 1 )² + (side 2)²
Since the hypothenuse is the largest of the sides we consider the largest number the hypothenuse and check the relation.
16, 30, 34
34² = 16²+30²; 1156 = 1156 ✅
16, 30, 34 are measurements of a right triangle
8, 14, 16
16² = 8² +14²; 256 = 260 ❌
8, 14, 16 is not a right triangle
10, 12, 16
16² = 10² +12²; 256 = 244 ❌
10, 12, 16 is not a right triangle
5, 12, 13
13² = 12²+5²; 169 = 169 ✅
5, 12, 13 are measurements of a right triangle
Table:
4 cups of water, 5 cups of flour.
9 cups of water, 10 cups of flour.
16 cups of water, 17 cups of flour.
29 cups of water, 30 cups of flour.
Equation:
f-1=w
Independent variable:
F
Dependent variable:
W
Step-by-step explanation:
let us consider the elevation of the sun is x
then
x=6×6
x=36
