Answer:
1. Yes
2. Yes
3. No
4. No
Step-by-step explanation:
4(-2) +9>-19 Multiply 4 and -2
-8+9>-19 Add -8 and 9
1 > -19 1 is greater than -19
4(5) +9>-19
20+9>-19
29>-19 29 is greater than -19
4(-10) +9>-19
-40+8>-19
-32>-19 -32 is not greater than -19
4(-7) +9>-19
-28+9>-19
-19>-19 -19 is not greater than -19
Answer:
8 pounds
Step-by-step explanation:
- Ratio of C:N = 30:1
- C - carbon content, N - nitrogen content
<h3>Given</h3>
- Coffee grounds = 1 pound <u>contains </u>25% C and 1% N
- Rotten vegetables = 6 pounds <u>contains</u> 10% C and 1% N
- Dry leaves = ? pound <u>contains</u> 30% C and 0.5% N
<h3>Solution</h3>
<u>Coffee grounds and Rotten vegetables together give:</u>
- 1 + 6 = 7 pounds
- C = 1*0.25 + 6*0.1 = 0.25 + 0.6 = 0.85
- N = 1*0.01 + 6*0.01 = 0.01 + 0.06 = 0.07
<u>Add dry leaves of x pounds:</u>
- Total = 7 + x
- C = 0.85 + 0.3x
- N = 0.07 + 0.05x
<u>Finding required weight of dry leaves:</u>
- (0.85 + 0.3x)/(0.07+0.005x) = 30/1
- 0.85 + 0.3x = 30(0.07 + 0.005x)
- 0.85 + 0.3x = 2.1 + 0.15x
- 0.3x - 0.15x = 2.1 - 0.85
- 0.15x = 1. 25
- x = 1.25/0.15
- x = 8.33 pounds = 8 pounds rounded to nearest pound
Answer:
The 'Days since Jan 8' would be represented by the independent variable. 'The Amount of Moon Visible' would be represented by the dependent variable.
Step-by-step explanation:
I calculated it logically
The y intercept is 20 and the slope is 8
Answer:sin75=√(2+√3)/2
Step-by-step explanation:
Cosx=1-2sin^2(x/2) let x=150
Cos150=1-2sin^2(150/2) cos150=-√3/2
-(√3)/2=1-2sin^2(75)
2sin^2(75)=1+(√3)/2
2sin^2(75)=(2+√3)/2
Cross multiply
2x2sin^2(75)=2+√3
4sin^2(75)=2+√3
sin^2(75)=(2+√3)/4
Take square root of both sides
sin75=√(2+√3)/√4
sin75=√(2+√3)/2