Answer:
there is 243.84 cm in 8 feet
round to the nearest hundredths =3266.53
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>
Answer:
$466
Step-by-step explanation:
Represent her salary by s. Then the amount spent on rent is s/2.
After spending 168 on her electric and water bills, she had s/2 - 168 dollars left. She spent half of this on her phone bill, leaving her with
s/2 - 168
-------------- dollars.
2
After buying $57 worth of gas, she had
s/2 - 168
-------------- - 57 dollars left, and this came to $92.
2
We must now solve for s.
First, multiply all three terms by 2. We get
s/2 - 168 - 2(57) = 2(92), or
s/2 - 168 - 114 = 184
Simplifying this, we get s/2 = 168 + 114 + 184, or s/2 = 466.
She spent half her salary (that is, half of s) on rent. As seen above, this is $466.
Answer: You gotta do your own homework sometimes :(
Step-by-step explanation: Ask the questions separately
maybe you will get better answers.
Answer:
Step-by-step explanation:
The television takes the shape of a rectangle whose width is 25 inches and whose height is 18 inches. To determine the length of the diagonal, we will apply Pythagoras theorem. It states that
Hypotenuse^2 = opposite^2 + adjacent^2
From the given information,
Adjacent side = 25 inches
Opposite side = 18 inches
Diagonal = hypotenuse.
Therefore
Diagonal^2 = 25^2 + 18^2
Diagonal^2 = 625 + 324 = 949
Take square roots of both sides of the equation, it becomes
Diagonal = √949 = 30.805 inches
Approximately 30.8 inches to the nearest tenth.
