The formula we need is

, where <em>v</em>₀ is the starting velocity and <em>h</em>₀ is the initial height. Using the velocity and starting height from our problem we have

. The path of this rocket will be a downward facing parabola, so there will be a maximum. This maximum will be at the vertex of the graph. To find the vertex we start out with

, which in our case is

. It will take 5 seconds for the rocket to reach its maximum height. Plugging this back into our formula gives us

The rocket's maximum height is 400 feet.
We set our formula equal to zero to find the time it takes to hit the ground, then we factor:

Using the zero product property, we know that either -16t =0 or t-10=0. When -16t=0 is at t=0, when the rocket is launched. t-10=0 gives us an answer of t=10, so the rocket reaches the ground again at 10 seconds.
Answer:
b.For each additional dollar paid to a tutor, we expect exam score to increase by 1.5 points, holding number of hours of sleep per week and number of study hours fixed.
Step-by-step explanation:
Hello!
For any multiple regression model, you can define the estimated slope as "the change or modification of the estimated average of Y when one of the explanatory variables increases one unit while the others remain constant.
In this example the dependant variable is:
Y: Exam score
And you have three explanatory variables:
X₁: salary of the teacher ($).
X₂: hours of sleep per week of a student.
X₃: number of study hours of a student.
The estimated model is ŷ= 65 + 1.5X₁ + 0.2X₂ + 0.5X₃
You need to interpret the estimated slope of the amount paid to the teacher b₁= 1.5
The units of the slope are units of Y by units of X, in this case, Y has no units so it is 1/$.
Then we can say that for every additional dollar paid to the teacher, the estimated mean score of the exam will increase by 1.5 1/$ while the weekly sleep hours and study hours remain constant.
I hope it helps!
Distrivute 0.2 to x and +50 and you get 0.2x+10-6 now for the other side we do the same and we get 1.2x+8 or an easier way... Let's solve your equation step-by-step.<span><span><span>0.2<span>(<span>x+50</span>)</span></span>−6</span>=<span>0.4<span>(<span><span>3x</span>+20</span>)</span></span></span>Step 1: Simplify both sides of the equation.<span><span><span>0.2x</span>+4</span>=<span><span>1.2x</span>+8</span></span>Step 2: Subtract 1.2x from both sides.<span><span><span><span>0.2x</span>+4</span>−<span>1.2x</span></span>=<span><span><span>1.2x</span>+8</span>−<span>1.2x</span></span></span><span><span><span>−x</span>+4</span>=8</span>Step 3: Subtract 4 from both sides.<span><span><span><span>−x</span>+4</span>−4</span>=<span>8−4 </span></span><span><span>−x</span>=<span>4 now you divide by negative x (technically it is -1x=4 so your answer is x=-4</span></span>
Answer:
15860
Step-by-step explanation:
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Answer:
where the triangles are........????