Find the general solution of the given system. Use a computer system or graphing calculator to construct a direction field and typical solution curves for the system

Answers

Answer 1

Answer:

hello your question is incomplete attached below is the complete question and solution

answer : general solution ( X ) = [tex]C_{1} e^{3t} \left \{ {{1} \atop {-1}} \right. + C_{2} e^{3t} \left \{ {{1} \atop {-1}} \right.[/tex]

Step-by-step explanation:

attached below is the detailed solution to determine the general solution of the given system

general solution ( X ) = [tex]C_{1} e^{3t} \left \{ {{1} \atop {-1}} \right. + C_{2} e^{3t} \left \{ {{1} \atop {-1}} \right.[/tex]

Find The General Solution Of The Given System. Use A Computer System Or Graphing Calculator To Construct

Related Questions

Please help it’s due

Answers

5 = 60

6 = 150

7 = 30

if you have any more questions let me know

if joey trap has 2 million views and you go check him out how many views will he have no really go check him out 100 points just go look him up its not a joke

Answers

Answer:

lol done

Step-by-step explanation:

A school is installing a flagpole in the central plaza. The plaza is a square with side length 100 yards as shown in the figure below. The flagpole will take up a square plot in the middle of the plaza and its base will have an area of x^2−6x+9 yd^2.

Area of the flagpole plot: x^2−6x+9

Find the length of the base of the flagpole by factoring. (Hint: Because the area of the flagpole is an expression that involves the variable x, the length of the base will also involve the variable x.)

The length of the base of the flagpole is

Answers

Answer:

[tex]x-3[/tex]

Step-by-step explanation:

The area of the flagpole base is [tex]x^2-6x+9\ \text{yd}[/tex]

where the factor of the equation is the length of the base.

In order to find the length we need to factorize the equation

[tex]x^2-6x+9[/tex]

[tex]=x^2-3x-3x+9[/tex]

[tex]=x(x-3)-3(x-3)[/tex]

[tex]=(x-3)(x-3)[/tex]

The length of the base of the flagpole is [tex](x-3)\ \text{yd}[/tex].

The area of a square base is the product of the side lengths.

The length of the base is x - 3

The area is given as:

[tex]\mathbf{Area =x^2 - 6x + 9}[/tex]

Expand

[tex]\mathbf{Area =x^2 - 3x - 3x + 9}[/tex]

Factorize

[tex]\mathbf{Area =x( x- 3) - 3(x - 3)}[/tex]

Factor out x - 3

[tex]\mathbf{Area =( x- 3) (x - 3)}[/tex]

Express as squares

[tex]\mathbf{Area =( x- 3)^2}[/tex]

Rewrite the area as:

[tex]\mathbf{Length^2 =( x- 3)^2}[/tex]

Take square roots of both sides

[tex]\mathbf{Length =x- 3}[/tex]

Hence, the length of the base is x - 3

Answers

Answer:

20 pounds

Step-by-step explanation:

You just multiply 2 1/2 by 8 to figure out the whole acre

2.5x8=20

Answer:

20 pounds of grass seeds

Step-by-step explanation:

2.5: 1/8

? : 1

multiply both sides by 8.

2.5*8=20

? = 20

Please solve these! Also if you could please show your work! This is Algebra 1

Answers

i attached screenshots for answers since I can't write freely here

there are 3 pics just scroll

Step-by-step explanation:

1) -28

here u can solve it normally , but in pic took long steps since it's "simplify expressions"

2) x = 64

3) D) -1 ½

Do the ratios 8/16 and 1/2 form a proportion?

Answers

Answer:

yes

Step-by-step explanation:

They both equal to one half, which makes them proportional

What is 1/10 of the digit in the ten thousand place of 683,906.826.24

Answers

If u mean 1/10 of the number 8 in the thousand place then 0.8. If u mean 1/10 of the value 8000 then 800

Which algebraic expression is equivalent to the expression below?

(8x + 12) + (9x - 3)
A.
20x - 6
B.
17x + 9
C.
29x - 3
D.
17x + 15

Answers

The answer is B, all you have to do is combine like terms 8x+9x and 12+ -3

Answer:

Step-by-step explanation:

help??
Anyone???
7th grade math

Answers

Answer:

25 X 5.5 equals 137.5 miles

Step-by-step explanation:

brainlies pleas

which shows the mixed number for 9/4 in the simplest form

Answers

Answer:

2 1/4

Step-by-step explanation:

15 POINTS

A housepainter mixed 5 gal of blue paint with every 9 gal of yellow paint in order to make a green paint. Which ratio of gallons of blue paint to gallons of yellow paint will make the same shade of green paint?

A. 10 : 45

B. 30 : 54

C. 6 : 10

D. 27 : 15
explanation if you know how to explain

Answers

Answer:

The answer is B

Step-by-step explanation:

The problem is asking for the same ratio as 5:9

Multiply both sides by 6 to get 30:54

find each percent increase
from 20 teachers to 30 teachers ___

Answers

20 to 30 is a 10% increase

I thought it was a 50% increase cause half of 20 is 10 and than 20 plus 10 is 30

What’s the unit rate for Tegan?

Answers

Answer:

The unit rate is 16

The unit rate is 16 I think

What number should the fraction 15/3 be multiplied by in order to equal 1

soo ya marking brainlist 165 points

Answers

Answer:

Step-by-step explanation:

Just so you know, you are stuck with awarding just 5 points.

15/3 * 1/5 = 1

Solve for xRequired to answer. Single choice.Immersive Reader
(5 Points)
6(+2)−20=6
6
(
x
+
2
)
−
20
=
6
x

No Solution

=−1
x
=
−
1

=0
x
=
0

all real numbers

Answers

Answer:

the answer is no solution.

Step-by-step explanation:

Select the correct answer.
which equation represents the line that is parallel to y= 3 and passes through (-2,-8)?
А.
x = -2
B.
x=3
C. y=-8
D.y= 3x - 2

Answers

Answer: -8

Step-by-step explanation:

other people got -8 so I'm pretty sure this is the answer.

what is tan 11pie divided by 6?

Answers

Answer:

1/6 tan(11 π) = 0

Alternate representations:

1/6 tan(11 π) = -1/6 cot((21 π)/2)

1/6 tan(11 π) = -1/6 cot((23 π)/2)

1/6 tan(11 π) = 1/(6 cot(11 π))

Step-by-step explanation:

How do I add 12 ½ +16¾=

Answers

Answer:

decimal format = 29.25mixed number = 29 1/4Improper fraction = 117/4

Step-by-step explanation:

Make the denominators equal after simplifying the denominators*. The denominators are currently 2 and 4. So you can just make your life easier by making the denominator of the first number a 4. Multiply both sides by 2.

1. Simplify

12*2+1 = 25/2

25/2*2/2 = 50/4

2. Simplify second number

16*4+3 = 67/4

3. Add the improper fractions

50/4 + 67/4 = 117/4

Total answer:29.25 = decimal formatmixed number = 29 1/4Improper fraction = 117/4

Terms:

*denominators - the bottom number of a fraction

Hope this helped,

Kavitha Banarjee

What is the equation of the line showed in this graph?

Answers

Answer:

y=1

Step-by-step explanation

Find the LCD for the rational expressions. Enter your answer in factored form.

Answers

x^2 + 5x + 6 factors out to be (x + 2)(x + 3).

14x + 42 factors out to be 14(x + 3).

LCD = 14(x+2)(x+3)^2

What is 1.3*10^4 in standard notation
A. 1.3^4
B. 13,000
C. 0.00013
D. 1300

Answers

Answer:

13000

Step-by-step explanation:

If you go 4 steps forward at first, it is 13. Add three zeros and then it is at 10^4 and 13000

One zero added is one power in scientific notation

Answer:

C. 13,000

Step-by-step explanation:

You do 10x10x10x10 and get 10,000 and then multiply that by 1.3 or move the decimal point do the right 4 times for the 4 zeros

Write the equation of the line fully simplified slope intercept form

Answers

Answer:

y = 4x - 3

Step-by-step explanation:

I need step by step help on how to work out this percentage question

Answers

Answer:

$15.7, $141.3

Step-by-step explanation:

Discount

157*0.1 = $15.7

Sale price

157 - 15.7 = $141.3

1 Which expression is equivalent to 1/3y?
• 1/3(y+12)-12
1/6y+1/3(y+3
1/6y+1/6(y+12)-2
1/3y+1/3(6-y)

Answers

Answer:

The answer is 1/6y+1/6(y+12)-2

Answer:

1/6y+1/6(y+12)- 2

Step-by-step explanation:

Distribute [tex]\frac{1}{6}[/tex] through the parentheses : [tex]\frac{1}{6}[/tex]y + [tex]\frac{1}{6}[/tex]y + 2 - 2Remove the opposites and calculate ( since two opposites add up to zero remove them from the expression) : [tex]\frac{1}{6}[/tex]y + [tex]\frac{1}{6}[/tex]yCalculate the sum : [tex]\frac{1}{3}[/tex] y

Solution : [tex]\frac{1}{3}[/tex] y

Find the percent of change
8 feet to 10 feet

Answers

Answer:

10 feet is [tex]\frac{10}{8}[/tex] or 1.25% of 8 feet.

Step-by-step explanation: :D

When sawdust is poured into a pile, it takes the shape of a cone where the proportion of height to base diameter is always the same. The volume of a cone can be found using the formula 1 V = ar-h, where r is the radius of the base circle, and h is the height of the cone. 3 A particular sawdust pile has a base diameter of 35 feet when the height is 30 feet. Find the volume of this sawdust pile when it is 55 feet high. ft3 Give your answer as an expression (using pi for 7), or as a value accurate to the nearest whole number.

Answers

Answer: i really don’t u derstans this

Step-by-step explanation:

The weekly amount spent by a small company for in-state travel has approximately a normal distribution with mean $1450 and standard deviation $220. What is the probability that the actual expenses will exceed $1560 in 20 or more weeks during the next year?

Answers

Answer:

0.0903

Step-by-step explanation:

Given that :

The mean = 1450

The standard deviation = 220

sample mean = 1560

[tex]P(X > 1560) = P( Z > \dfrac{x - \mu}{\sigma})[/tex]

[tex]P(X > 1560) = P(Z > \dfrac{1560 - 1450}{220})[/tex]

[tex]P(X > 1560) = P(Z > \dfrac{110}{220})[/tex]

P(X> 1560) = P(Z > 0.5)

P(X> 1560) = 1 - P(Z < 0.5)

From the z tables;

P(X> 1560) = 1 - 0.6915

P(X> 1560) = 0.3085

Let consider the given number of weeks = 52

Mean [tex]\mu_x[/tex] = np = 52 × 0.3085 = 16.042

The standard deviation = [tex]\sqrt {n \time p (1-p)}[/tex]

The standard deviation = [tex]\sqrt {52 \times 0.3085 (1-0.3085)}[/tex]

The standard deviation = 3.3306

Let Y be a random variable that proceeds in a binomial distribution, which denotes the number of weeks in a year that exceeds $1560.

Then;

Pr ( Y > 20) = P( z > 20)

[tex]Pr ( Y > 20) = P(Z > \dfrac{20.5 - 16.042}{3.3306})[/tex]

[tex]Pr ( Y > 20) = P(Z >1 .338)[/tex]

From z tables

P(Y > 20) [tex]\simeq[/tex] 0.0903

Sound travels approximately 12.3 miles per minute. How many minutes will
it take someone to hear thunder if it strikes 85 miles away? Round your
answer to the nearest tenths.

Answers

Answer:

6.9 minutes

Step-by-step explanation:

Setup equality:

[tex]\frac{12.3}{1} = \frac{85}{m}[/tex]

Cross multiply:

12.3m = 85

Divide both sides of equality by 12.3:

m = 6.9 minutes

It takes 6.9 minutes to take someone to hear thunder if it strikes 85 miles away.

What is Unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

Sound travels approximately 12.3 miles per minute.

So, if the thunder strikes 85 miles away it will take

=85/12.3

=6.91 minutes.

Hence, 6.91 minutes to take someone to hear thunder if it strikes 85 miles away.

Learn more about unitary method here:

https://brainly.com/question/22056199

#SPJ2

can someone help me with this i have no idea how to do this:/ will mark brainliest

Answers

Answer:

slope = 2.

Step-by-step explanation:

find the slope using this formula y2-y1/x2-x1

40-20/1-0 = 2/1 or just 2.

Can someone help plz helpppp!!!!!

Answers

Answer:

4N left

5N left

0N (balanced)

9N right

Step-by-step explanation:

The net force is the vector sum of all of the forces acting on an object. To find the net force when there are two opposite forces subtract the smaller number from the larger, for example, 7-2. Then take to total, 5N, and add the direction of the stronger force. If the equation equals zero that means you have a balanced force. To find the force of two actions in the same direction simply add them.

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