Answer:
t = 2.11 seconds
Step-by-step explanation:
A toy rocket is launched from the top of a 48 foot hill. The rockets initial upward velocity is 32 feet per second and its height h at any given second t is modeled by the equation:
Let us assume that we need to find the time by it to reach the ground. It means h = 0
The above is a quadratic equation. The value of t is given by :
So, it will take 2.11 seconds to reach the ground.
Step by step solution :<span>Step 1 :</span><span>Equation at the end of step 1 :</span><span><span> (((3•(x2))•(y4))3)
4•——————————————————
((2x3•(y5))4)
</span><span> Step 2 :</span></span><span>Equation at the end of step 2 :</span><span><span> ((3x2 • (y4))3)
4 • ———————————————
24x12y20
</span><span> Step 3 :</span><span> 33x6y12
Simplify ————————
24x12y20
</span></span>Dividing exponential expressions :
<span> 3.1 </span> <span> x6</span> divided by <span>x12 = x(6 - 12) = x(-6) = 1/<span>x6</span></span>
Dividing exponential expressions :
<span> 3.2 </span> <span> y12</span> divided by <span>y20 = y(12 - 20) = y(-8) = 1/<span>y8</span></span>
<span>Equation at the end of step 3 :</span><span> 27
4 • ——————
16x6y8
</span><span>Step 4 :</span>Final result :<span> 27
—————
4x6y<span>8</span></span>
Answer:
x = 10
Step-by-step explanation: 10/2 = 5 + 1 = 6
Donald earns $23 each weekend and Mickey earns $30.
Step-by-step explanation:
Given,
Money earned by Mickey and Donald = $53
Let,
Share of Mickey = x
Share of Donald = y
According to given statement;
x+y=53 Eqn 1
x = y+7 Eqn 2
Putting value of x from Eqn 2 in Eqn 1
Dividing both sides by 2
Putting y=23 in Eqn 2
Donald earns $23 each weekend and Mickey earns $30.
Keywords: linear equation, substitution method
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Answer:
h=3
Solving forh
h=3V
lw=3·600
10·60=3
Step-by-step explanation:
