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3 years ago

Find the (real-valued) general solution to the differential equation. z′′+5z′=0

1 answer:

7 0

Try this solution:1. to make up the characteristic equation:α²+5α=0; $\left[\begin{array}{ccc} \alpha=0 \\ \alpha =-5\\\end{array}$ 2. to make up the final answer:y=C₁+C₂e⁻⁵ˣ

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Eric’s average income for the first 4 months of the year is $1,450.25, what must be his

drek231 [11]

Answer:

Average income of Eric for the remaining 8 months = $\$1946$

Step-by-step explanation:

Given: Average income of Eric for the first 4 months of the year is equal to $1,450.25

To find: average income for the remaining 8 months so that his average income for the year is $1,780.75

Solution:

Average income = Total income for the year/Total number of months

Average income of Eric for the first 4 months = $1,450.25

So,

Total income of Eric for the first 4 months = 1,450.25 × 4 = 5801

Let x denotes total income of Eric for the remaining 8 months

Total income for the year = 5801 + x

Therefore,

Average income for the year = $\frac{5801+x}{12}$

Also, average income for the year is $1,780.75

$1780.75=\frac{5801+x}{12}\\1780.75\times 12=5801+x\\21369=5801+x\\21369-5801=x\\15568=x$

Total income of Eric for the remaining 8 months = $15568

Average income of Eric for the remaining 8 months = $\frac{15568}{8}=\$1946$

7 0

3 years ago

One cold night the temperature was 0 degrees at 8 p.m. The temperature dropped at a constant rate from 8 p.m. to midnight. At mi

S_A_V [24]

Answer:

Step-by-step explanation:

the rate is -4.2, so after an hour the temperature would be -4.2 degrees

5 0

3 years ago

Please Help! In dire need~!

timama [110]

Answer: The solution is $3\frac{1}{3}$

Step-by-step explanation:

since we have given that

$\frac{2}{3}\div \frac{1}{5}$

we need to solve it using area models:

As we know that "In fractions, division is changed into multiplication by reciprocating the next term to make it possible to solve":

So, It turns into model of area "Area of rectangle "

$Area=Length\times Breadth\\\\Area=\frac{2}{3}\times \frac{5}{1}\\\\Area=\frac{10}{3}=3\frac{1}{3}$

Now, verifying by using numerical operations only.

$\frac{\frac{2}{3}}{\frac{1}{5}}\\\\=\frac{2\times 5}{3\times 1}\\\\=\frac{10}{3}\\\\=3\frac{1}{3}$

Hence, verified.

7 0

4 years ago

The diagram represents a 12cm by 4cm what is the area?

olga_2 [115]

Well, to calculate the area, we would simply do length times width and we would get our area.
Area = Length * Width
Area = 12cm * 4cm
Area = 48cm squared.
So, in conclusion, the area is 48 cm squared.

6 0

3 years ago

I need help in math plz?

Alinara [238K]

Answer:

1.A

2.A

3.C

4.D

5.A

6.A

7.D

8.B

9.A

10.C

Step-by-step explanation:

PA BRINLY TEST PLSSS

5 0

3 years ago