Answer:
Let x and y be the two numbers. Then
yx=57 and x−y=20
Cross multiplying the proportion
5x=7y or y=75x
So, x−y=20
x−75x=20⇒77x−5x=72x=20
⇒x=2140=70
y=75x=75×70=50
So smaller number is 50.
Check :yx=5070=57 and 70−50=20
Answer:
A
Step-by-step explanation:
![h(t)-j(t)=t^{\frac{2}{3}}-9-[3t+5t^{\frac{2}{3}}]\\\\=t^{\frac{2}{3}}-9-3t-5t^{\frac{2}{3}}\\\\=t^{\frac{2}{3}}-5t^{\frac{2}{3}}-3t-9\\\\=[1-5]*t^{\frac{2}{3}}-3t-9\\\\=-4t^{\frac{2}{3}}-3t-9](https://tex.z-dn.net/?f=h%28t%29-j%28t%29%3Dt%5E%7B%5Cfrac%7B2%7D%7B3%7D%7D-9-%5B3t%2B5t%5E%7B%5Cfrac%7B2%7D%7B3%7D%7D%5D%5C%5C%5C%5C%3Dt%5E%7B%5Cfrac%7B2%7D%7B3%7D%7D-9-3t-5t%5E%7B%5Cfrac%7B2%7D%7B3%7D%7D%5C%5C%5C%5C%3Dt%5E%7B%5Cfrac%7B2%7D%7B3%7D%7D-5t%5E%7B%5Cfrac%7B2%7D%7B3%7D%7D-3t-9%5C%5C%5C%5C%3D%5B1-5%5D%2At%5E%7B%5Cfrac%7B2%7D%7B3%7D%7D-3t-9%5C%5C%5C%5C%3D-4t%5E%7B%5Cfrac%7B2%7D%7B3%7D%7D-3t-9)
We have
<span>y=cos x/(x</span>²+x+2) <span>on the closed interval [-1, 3]
</span><span>
we know that
</span>The average value of f(x) on the interval [a, b] is given by:
<span>F(avg) = 1/(b - a) ∫ f(x) dx (from x=a to b).
(b-a)=(3+1)------> 4
</span>= 1/4 ∫ cos(x)/(x² + x + 2) dx (from x=-1 to 3).
Note that [cos(x)/(x² + x + 2)] does not have an elementary anti-derivative.
By approximating techniques:
1/4 ∫ cos(x)/(x^2 + x + 2) dx (from x=-1 to 3) ≈ 0.182951
the answer is
<span>the average value of y = cos(x)/(x</span>²<span> + x + 2) on [-1, 3] is approximately 0.182951</span>
The solution to x + 8.5 = 64.5 is 56.
x + 8.5 = 64.5
- 8.5 - 8.5
---------------------------
x = 56
4800 j ya que lo valoras por segundos no por minutos y lo vas a sumar una vez con la misma cantidad que te dio
