Answer:
30.49 m
Step-by-step explanation:
To obtain the maximum height, we solve for the value x when dy/dx = 0.
Since, y = -5x² + 40x + 20
dy/dx = d[-5x² + 40x + 20]/dx
dy/dx = -10x + 40
Since dy/dx = 0,
-10x + 40 = 0
-10x = -40
x = -40/-10
x = 4
Substituting x = 4 into the equation for y, we have
y = -5x² + 40x + 20
y = -5(4)² + 40(4) + 20
y = -5(16) + 160 + 20
y = -80 + 160 + 20
y = 80 + 20
y = 100 ft
Since y is in feet, we convert to meters.
Since 1 m = 3.28 ft, 100 ft = 100 ft × 1 m/3.28 ft = 30.49 m
So, the maximum height, in meters reached by the projectile is 30.49 m
Answer:
Percent (%)' means 'out of one hundred':
p% = p 'out of one hundred',
p% is read p 'percent',
p% = p/100 = p ÷ 100.
91% = 91/100 = 91 ÷ 100 = 0.91.
100% = 100/100 = 100 ÷ 100 = 1.
Decrease number by 91% of its value.
Percentage decrease = 91% × 843
New value = 843 - Percentage decrease
Calculate the New Value
New value =
843 - Percentage decrease =
843 - (91% × 843) =
843 - 91% × 843 =
(1 - 91%) × 843 =
(100% - 91%) × 843 =
9% × 843 =
9 ÷ 100 × 843 =
9 × 843 ÷ 100 =
7,587 ÷ 100 =
75.87
Calculate absolute change (actual difference)
Absolute change (actual difference) =
New value - 843 =
75.87 - 843 =
- 767.13
Proof.
Calculate percentage decrease:
Percentage decrease =
91% × 843 =
91 ÷ 100 × 843 =
91 × 843 ÷ 100 =
76,713 ÷ 100 =
767.13
Step-by-step explanation:
Hope it is helpful....
Answer:
20%
Step-by-step explanation:
cuz quick meths
<u>⇒If the unknown x;</u>
48 + x = -18
⇒<span><u>Known unknowns to one side into the other side .</u>
</span>
x = -18-48
x=-66
<u>Have a nice days............</u>
Answer:
x = 5
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
- Subtraction Property of Equality
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
2(3x - 7) = 16
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Division Property of Equality] Divide 2 on both sides: 3x - 7 = 8
- [Addition Property of Equality] Add 7 on both sides: 3x = 15
- [Division Property of Equality] Divide 3 on both sides: x = 5
