Answer:
Clark can type 40 words in one minute
Step-by-step explanation:
- Set up a proportion:
- Cross multiply, then divide: 720 × 1 = 720, 720 ÷ 18 = 40
- So, x = 40
I hope this helps!
Race track principle says that if two functions are equal at <span>t=0</span>, then the one which has a greater derivative will be greater.
In this case we're comparing <span><span>f′</span>(t)</span> and <span><span>g′</span>(t)</span>. So we make sure that <span>g(0)=<span>f′</span>(0)</span> and that <span><span>f′′</span>(t)≥<span>g′</span>(t)
</span>
<span>g(t)=at+b</span>
Since it is a line.
<span><span>g′</span>(t)=a</span>
<span><span>f′′</span>(t)≥3≥<span>g′</span>(t)⟹3≥a</span>
So let <span>a=3</span>.
<span><span>f′</span>(0)=0=g(0)=3(0)+b⟹b=0
</span>So that means
<span>g(t)=3t
</span>Do something similar for <span>h(t)</span><span> starting with
</span><span>h(t)=a<span>t2</span>+bt+c
</span><span>h(0)=f(0)⟹c=0
</span>
So
<span>h</span><span>(</span><span>t</span><span>)</span><span>=</span><span>a</span><span>t2</span><span>+</span><span>b</span><span>t</span>
In completing the square, the first step is to factor out the first and second term so that the factor (x+a) is highlighted. This is seen in line 1. However, in line 2, the subtracted value should be 3 so as to compensate for the added value. This affects then line 3 as well. The answer is line 2.
Answer: 60%
Step-by-step explanation:
Side of the base of the pyramid: s=54 m
Height of the pyramid: h=260 m
Volumen of the building = Volumen of the pyramid = V=?
V=Ab*h/3
Area of the base = Area of a square = Ab=s^2=(54 m)^2→Ab=2,916 m^2
V=(2,916 m^2)*(260 m)/3→V=252,720 <span>m³
Answer: T</span>he volume of the building is 252,720 m³
