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3 years ago

Match each differential equation to a function which is a solution

Mathematics

2 answers:

jonny [76]3 years ago

8 0

Answer:

1. First equation is option B

2. Second equation is option C

3. Third equation is option E

4. Fourth equation no best option.

explanation:

Check the attachment for solution

Flauer [41]3 years ago

5 0

Answer:

1. B is a solution

2. C

3. E

4. D

Step-by-step explanation:

Check the attachment for explanation

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What is the exponential function modeled by the following table?

Ierofanga [76]

$\bf \begin{array}{ccll}
x&f(x)\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
2&\stackrel{3^2+1}{10}\\
3&\stackrel{3^3+1}{28}\\
4&\stackrel{3^4+1}{82}
\end{array}\implies f(x)=3^x+1$

8 0

3 years ago

Find 3√27 +3√64 - 3√125

serg [7]

Answer:

the answer is approximately 6.047

4 0

3 years ago

A population of mice is increasing exponentially. On Monday there were 120 most. One month later there were 132 most. Ready func

djyliett [7]

Answer:

$y=120 * 1.1^x$ --- function

The monthly rate is 10%

Step-by-step explanation:

Given

Let

$x \to months$

$y \to mice$

So, we have:

$(x_1,y_1) = (0,120)$ --- Monday

$(x_2,y_2) = (1,132)$ --- One month later

Required

The function

The function is represented as:

$y=ab^x$

In $(x_1,y_1) = (0,120)$ , we have:

$120 = a * b^0$

$120 = a * 1$

$120 = a$

$a=120$

In $(x_2,y_2) = (1,132)$ , we have:

$132 = a * b^1$

$132 = a * b$

Substitute: $a=120$

$132 = 120 * b$

Solve for b

$b = \frac{132}{120}$

$b = 1.1$

So, the function is:

$y=ab^x$

$y=120 * 1.1^x$

To calculate the monthly rate (r), we have:

$y =a(1 + r)^x$

Compare to: $y =ab^x$

$1 + r = b$

Make r the subject

$r = b-1$

Substitute $b = 1.1$

$r = 1.1-1$

$r = 0.1$

Express as percentage

$r = 0.1*100\%$

$r = 10\%$

5 0

3 years ago

Ftgtggggygggggggghhhhhhggghggggggggfffffff

Gekata [30.6K]

c.
greater than and less than signs have dotted lines.
greater than or equal to and less than or equal to have solid lines.

6 0

3 years ago

The measure of one side of a square is parentheses X +3 in parentheses inches long which pair of expressions both represent the

Svetlanka [38]

Given:

The side of a square is,

$(s+3)inches$

Required:

To find the perimeter of a given square.

Explanation:

In square, all the sides are equal.

Therefore, all sides are (s+3).

To find perimeter, we need to add all the sides,

Therefore,

$\begin{gathered} (s+3)+(s+3)+(s+3)+(s+3) \\ =4(s+3) \end{gathered}$

Final Answer:

Option (d) is correct.

7 0

1 year ago