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melomori [17]
3 years ago
5

53.58 is 47 percent of what?

Mathematics
1 answer:
I am Lyosha [343]3 years ago
8 0

Answer:114

Sorry

Step-by-step explanation:

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What is the solution of the system? Use the graph. y=x+5 y=-5x-1
olga55 [171]
Y = x + 5 
y = -5x -1

so than you make y = y so x + 5 = -5x -1 result 6x = -6 so x = -6/6 so x = -1
and than you check it 

y = - 1 +5 = 4
and 
y = - 5 *(-1) -1 = 5 -1 = 4

so this mean that - 1 is the solution of the system sure 
3 0
3 years ago
Which of the following is equivalent to 92 1/2 pounds in ounces
viva [34]
Well first, you have to see how many ounces are in 1 pound and there are 16 ounces in 1 pound.
So now, I am going to multiply 16×92 1/2 ( or 92.5 )
SO:      92.5
       ×    16
       --------------
         1480 ounces
7 0
3 years ago
The number a exceeds the number b by 50 percent. By what percent is the number b smaller than the number a?
Julli [10]
50%, because to exceed is to be larger than, so if A is larger than B by 50%, then that means that B is 50% smaller than A.
8 0
3 years ago
1) Use power series to find the series solution to the differential equation y'+2y = 0 PLEASE SHOW ALL YOUR WORK, OR RISK LOSING
iogann1982 [59]

If

y=\displaystyle\sum_{n=0}^\infty a_nx^n

then

y'=\displaystyle\sum_{n=1}^\infty na_nx^{n-1}=\sum_{n=0}^\infty(n+1)a_{n+1}x^n

The ODE in terms of these series is

\displaystyle\sum_{n=0}^\infty(n+1)a_{n+1}x^n+2\sum_{n=0}^\infty a_nx^n=0

\displaystyle\sum_{n=0}^\infty\bigg(a_{n+1}+2a_n\bigg)x^n=0

\implies\begin{cases}a_0=y(0)\\(n+1)a_{n+1}=-2a_n&\text{for }n\ge0\end{cases}

We can solve the recurrence exactly by substitution:

a_{n+1}=-\dfrac2{n+1}a_n=\dfrac{2^2}{(n+1)n}a_{n-1}=-\dfrac{2^3}{(n+1)n(n-1)}a_{n-2}=\cdots=\dfrac{(-2)^{n+1}}{(n+1)!}a_0

\implies a_n=\dfrac{(-2)^n}{n!}a_0

So the ODE has solution

y(x)=\displaystyle a_0\sum_{n=0}^\infty\frac{(-2x)^n}{n!}

which you may recognize as the power series of the exponential function. Then

\boxed{y(x)=a_0e^{-2x}}

7 0
3 years ago
Let u be an angle in the 4th quadrant with cos u=8/9<br><br> Then sin u=
lutik1710 [3]
To solve for the last side of the triangle, use the Pythagorean Theorem:
(8)^2 + x^2 = (9)^2
x = sqrt of 17
However, this is a NEGATIVE sqrt 17 because the terminal side is in quadrant 4, meaning that this side is under the X-axis and therefore negative.
Now that you know the side opposite of u in the triangle, do opposite/hypotenuse.
sin u = -(sqrt 17)/9
5 0
3 years ago
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