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3 years ago

Can someone please help me I don’t get this

Mathematics

1 answer:

alukav5142 [94]3 years ago

8 0

Answer:

Step-by-step explanation:

The anwser is B because Jon wants to go over 75 miles and B is 76+ which is more than 75 and Jon wanted to go more than 75

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Given the third-order differential equation z′′′+2z′′−4z′−8z=0, find the general solution. Enter your solution as z(x)=... . In

Scorpion4ik [409]

Answer: $z(x) = c_{1} e^{2x} +c_{2} e^{-2x} + c_{3} xe^{-2x}$

Step-by-step explanation:

This is a homogeneous linear third-order differential equation

z′′′+2z′′−4z′−8z=0 so the

FIRST STEP is to find the characteristic equation and its roots

$m^{3} +2m^{2} -4m -8 = 0$

Using the method of finding roots of a polynomial (using m = 2) would provide the solution below

(m-2)(m+2)(m+2)=0; m = 2 and m = -2 (repeated twice)

SECOND STEP is to write the general solution with the arbitrary constants.

The general solution based on the roots and the using x as the independent variable would provide

$z(x) = c_{1} e^{2x} +c_{2} e^{-2x} + c_{3} xe^{-2x}$

*It should be noted that when the characteristic equation has a repeated root, the general equation form becomes similar to the last part of the answer*

6 0

3 years ago

Kingbird, Inc. purchased merchandise with an invoice price of $3200 and credit terms of 2/9, n/30. Assuming a 360-day year, what

Tatiana [17]

Answer:

80%

Step-by-step explanation:

Data provided as per the question

Number of days in a year = 360 days

Discount provided = 2%

Total net credit period = 30

The calculation of implied annual interest rate inherent in the credit terms is shown below :-

$Inherent\ in\ the\ credit\ terms\ = \frac{Number\ of\ days\ in\ a\ year}{Total\ net\ credit\ period\ - Remaining\ days}\times 2\%$

$Inherent\ in\ the\ credit\ terms\ = \frac{360}{30 - (30\ -\ 9)}\times 2\%$ $Inherent\ in\ the\ credit\ terms\ = \frac{360}{30 - 21}\times 2\%$

$Inherent\ in\ the\ credit\ terms\ = \frac{360}{\ 9}\times 2\%$

$Inherent\ in\ the\ credit\ terms\ = \ 40\times 2\%$

$Inherent\ in\ the\ credit\ terms\ = \ 80\%$

Therefore for computing the inherent in the credit terms we simply applied the above formula.

6 0

3 years ago

24 Hour Fitness charges svara spatee plus so per months to poun thensyn time has podszes por s gym membership so farHow many mon

mixer [17]

Answer:

4 months

Step-by-step explanation:

Equation:

y = 55 + 30x

y = gym membership

x = per month

Work:

y = 55 + 30x

175 = 55 + 30x

30x = 175 - 55

30x = 120

x = 4

4 months

4 0

3 years ago

Each batch of cupcakes Lena makes uses 3 cups of flour, 1 cup of milk, and 2 cups of sugar. Lena wants to make 5 batches of cupc

marusya05 [52]

1 batch = 3 + 1+ 2
5 batches = 5( 3 + 1 + 2) [Answer A]

6 0

3 years ago

Read 2 more answers

Please tell me the area and attach work the most important part is work since I’m confused on subtracting the side lengths

Ymorist [56]

Answer:

The area is 288 feet

Step-by-step explanation:

So the best way to solve problems like this is to think about the parts of the object like different things, and iscolating them.

We see that the length of the rectangle is 21, and the width is 13.

Ignore the 5 and 16, since they tell you what you neeed to know about the other smaller rectangle.

So lets just use the formula for area of a rectnagle, which is l*w, using the 21 and 13 values above:

21*13= 273

Now lets look at the second part.

I think this is the part you were confused with, so I will go into detail on how we find the area of this part of the rectangle

We see that there is a 16...However, we already know that the width is 13. So how is this? The 16 includes both the width of the rectangle and of the smaller piece.

Since we already know that the width of the rectangle is 13, but the small segment makes it 16, we can subtract the total wifth by the width of the rectangle, which will find us the width of the segment:

16-13=3

So the width is 3.

This is not what we do with the 21 and 5. When we look at the segment, we see that the 5 covers all of it, and does not cover any of the rectangle's length. This basicallly means that the 5 length is only for the segment, so this is considered our length.

Now we can use this to figure out the segments area:

3*5=15

Now, since we need to find the combined area of the both the segment and the rectangle, we need to add them together:

273+15=288

So the area is 288 in total.

Hope this helps!

7 0

3 years ago