Answer:
6.21 seconds
Step-by-step explanation:
The position function of a free-falling object is,

Where,
= initial height of the object,
= initial velocity of the object,
Here,


Hence, the height of the ball after t seconds,

When s(t) = 0,




∵ Time cannot be negative,
Hence, after 6.21 seconds the ball will reach the ground.
Answer:
The measure of angle IJU is 20 degrees.
Step-by-step explanation:
In order to find that, we need to add the two angles together and set equal to 180 degrees. Then we can solve for x.
(3x - 7) + (17x + 7) = 180 ----> Combine like terms
20x = 180 -----> Divide by 20
x = 9
Now that we have this, we can stick the value into the equation and solve for IJU.
IJU = 3x - 7
IJU = 3(9) - 7
IJU = 27 - 7
IJU = 20
Answer:
x = -7/4
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
5x + 3 - 2x = 12 + 7x - 2
<u>Step 2: Solve for </u><em><u>x</u></em>
- Combine like terms: 3x + 3 = 7x + 10
- [SPE] Subtract 3x on both sides: 3 = 4x + 10
- [SPE] Subtract 10 on both sides: -7 = 4x
- [DPE] Divide 4 on both sides: -7/4 = x
- Rewrite: x = -7/4
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: 5(-7/4) + 3 - 2(-7/4) = 12 + 7(-7/4) - 2
- Multiply: -35/4 + 3 + 7/2 = 12 - 49/4 - 2
- Add: -23/4 + 7/2 = 12 - 49/4 - 2
- Add: -9/4 = 12 - 49/4 - 2
- Subtract: -9/4 = -1/4 - 2
- Subtract: -9/4 = -9/4
Here we see that -9/4 does indeed equal -9/4.
∴ x = -7/4 is the solution to the equation.
Answer:
Mean = 0.2(100) = 20
Variance = 0.2×0.8×100 = 16
Standard deviation = 4
Yes, np > 5 & nq > 5
Matrix :
1 4 4
5 2 2
1 5 5
=> Determinant =
1 * (2*5 - 2*5) - 4 * (5*5 - 1*2) + 4 * ( 5*5 - 2*1)
= 1*(10 - 10) - 4*(25 - 2) + 4*(25 -2) = 1*0 + 4* 23 + 4*(25 - 2) = 0 - 4*23 + 4*23 = 0
Answer: 0