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gregori [183]
3 years ago
11

Plzzzzzzzzzz help meee

Mathematics
1 answer:
stira [4]3 years ago
8 0

the answer to question 1) is
Exact form: 49/12
mixed number form: 4 1/12
Decimal form: 4.083

the answer to question 2) is
Exact form: 56/15
mixed number form: 3 11/15
Decimal form: 3.73

And by this symbol “ / “ it means division slash
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Skylar wanted to show the proportional relationship between the dollar value of the original investment, x, and its value after
suter [353]

After checking the information of the table, it is to notice that the table fulfills the behavior of a <em>direct</em> relationship described by the <em>linear</em> equation y = 0.9 · x. #SPJ1

<h3>How to analyze a relationship between the two variables</h3>

Let be <em>x</em> and <em>y</em> the <em>original</em> investment and the value after applying the change, both in monetary units. A <em>direct</em> relationship is observed by following this model:

y = (1 + r/100) · x     (1)

Where <em>r</em> is change rate, in percentual units.

After checking the information of the table, it is to notice that the table fulfills the behavior of a <em>direct</em> relationship described by the <em>linear</em> equation y = 0.9 · x. #SPJ1

<h3>Remark</h3>

The table of the <em>change</em> in investment with respect to <em>initial</em> investment is missing and is now introduced below:

<em>(x₁, y₁) =</em> (75, 7.5), <em>(x₂, y₂) =</em> (100, 10), <em>(x₃, y₃) =</em> (200, 20), <em>(x₄, y₄) =</em> (300, 30), <em>(x₅, y₅) =</em> (400, 40)

To learn more on direct relationships, we kindly invite to check this: brainly.com/question/14293770 #SPJ1

6 0
2 years ago
Find integer solutions for the equation 620 p+140w= 20 .
Nutka1998 [239]
Im not sure, maybe determined answer B
6 0
3 years ago
I need help PLz what is 7/985 I will mark Brainlist to first person that answer.!!!!
bazaltina [42]

Answer:

Jeez, This number is not a whole number. The real answer would be 140.714285714

Step-by-step explanation:

But the rounded answer would be about 141.

3 0
3 years ago
Read 2 more answers
Which of the following are examples of exponential decay? select all that apply.
Katarina [22]
B, C and D are exponential decay.

Half-lives are given by exponential function, and since they are decreasing, it is decay.
With the teams being eliminated, this is decay.
Bacteria can be represented by exponential functions, and it is decreasing.
5 0
3 years ago
Use the laplace transform to solve the given initial-value problem. y' 5y = e4t, y(0) = 2
Basile [38]

The Laplace transform of the given initial-value problem

y' 5y = e^{4t}, y(0) = 2 is  mathematically given as

y(t)=\frac{1}{9} e^{4 t}+\frac{17}{9} e^{-5 t}

<h3>What is the Laplace transform of the given initial-value problem? y' 5y = e4t, y(0) = 2?</h3>

Generally, the equation for the problem is  mathematically given as

&\text { Sol:- } \quad y^{\prime}+s y=e^{4 t}, y(0)=2 \\\\&\text { Taking Laplace transform of (1) } \\\\&\quad L\left[y^{\prime}+5 y\right]=\left[\left[e^{4 t}\right]\right. \\\\&\Rightarrow \quad L\left[y^{\prime}\right]+5 L[y]=\frac{1}{s-4} \\\\&\Rightarrow \quad s y(s)-y(0)+5 y(s)=\frac{1}{s-4} \\\\&\Rightarrow \quad(s+5) y(s)=\frac{1}{s-4}+2 \\\\&\Rightarrow \quad y(s)=\frac{1}{s+5}\left[\frac{1}{s-4}+2\right]=\frac{2 s-7}{(s+5)(s-4)}\end{aligned}

\begin{aligned}&\text { Let } \frac{2 s-7}{(s+5)(s-4)}=\frac{a_{0}}{s-4}+\frac{a_{1}}{s+5} \\&\Rightarrow 2 s-7=a_{0}(s+s)+a_{1}(s-4)\end{aligned}

put $s=-s \Rightarrow a_{1}=\frac{17}{9}$

\begin{aligned}\text { put } s &=4 \Rightarrow a_{0}=\frac{1}{9} \\\Rightarrow \quad y(s) &=\frac{1}{9(s-4)}+\frac{17}{9(s+s)}\end{aligned}

In conclusion, Taking inverse Laplace tranoform

L^{-1}[y(s)]=\frac{1}{9} L^{-1}\left[\frac{1}{s-4}\right]+\frac{17}{9} L^{-1}\left[\frac{1}{s+5}\right]$ \\\\

y(t)=\frac{1}{9} e^{4 t}+\frac{17}{9} e^{-5 t}

Read more about Laplace tranoform

brainly.com/question/14487937

#SPJ4

6 0
1 year ago
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