Complete the ratio table

The solution to the differential equation is:

[tex]g(x) = x^2*sgn(x)[/tex]

We want to solve:

g'(x) = 2*|x|

If we integrate g(x), we will get:

[tex]\int\limits {2*|x|} \, dx[/tex]

Remember that:

Then:

[tex]g(x) = \int\limits {2*|x|} \, dx = 2*(\frac{x^2}{2}*sgn(x)) + C[/tex]

Where sgn(x) is the sign of the value x, and C is a constant of integration.

We also know that g(0) = 0, then:

[tex]g(0) = 2*(\frac{0^2}{2}*sgn(0)) + C = C = 0[/tex]

So we conclude that C = 0.

Then the function is:

[tex]g(x) = x^2*sgn(x)[/tex]

If you want to learn more about differential equations, you can read:

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Answer:

[tex]-\dfrac{27}{4}[/tex] % per hour

or -6.75 % per hour (if you want the answer as a decimal)

Step-by-step explanation:

From the table:

f(0) = 100

f(4) = 73

Average rate of change:

[tex]\dfrac{f(b)-f(a)}{b-a}=\dfrac{73-100}{4-0}=-\dfrac{27}{4}[/tex]

The values of the variables will be a=3 b=4 and c=81

It is given that

[tex]\dfrac{3^{8} }{3^{4} } = a^{b}=c[/tex]

now we can write that

[tex]3^{8}\times3^{4} =a^{b}[/tex]

[tex]3^{8-4} = a^{b}[/tex]

[tex]3^{4}=81 = a^{b} =c[/tex]

So from the above expression, we can see that a=3 b=4 and c=81

Thus values of the variables will be a=3 b=4 and c=81

To know more about the Variables follow

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Answer:

a =

✔ 3

b =

✔ 4

c =

✔ 81

Step-by-step explanation:

just did it

Answer:

67796.61

Step-by-step explanation:

Answer:

Step-by-step explanation:

z = 3+i

If the equal is 55x + 35y = 200

If the car spends 3 hours at 55 miles per hour, then it drove:

  55(3) + 35y = 200

     35y =35

        y = 1.

There the drive spent 1-hour driving at 35 mph.

Hope it helps!

Answer:

7.75

Step-by-step explanation:

I divided it and got the answer as 7.75

Answer:

-3 and 7

Step-by-step explanation:

-3 and 7 because

Multiply:  7 × -3 = 21

Add:  -3 + 7 = 4

Answer:

2,700

Step-by-step explanation:

A=2(wl+hl+hw)=2·(20·30+15·30+15·20)=2700

Answer:

1. Yes

2. 9 & 13

3. 9+13=22

4. 23

5. no

6. yes same as 1.

7. ????????????????????

the second q.

1.??? tried my best sry

Step-by-step explanation:

Answer:

31,33,35

Step-by-step explanation:

Let us call our odd integers:

2

n

+

1

2

n

+

3

2

n

+

5

and write our condition as:

(

2

n

+

1

)

+

(

2

n

+

3

)

+

(

2

n

+

5

)

=

99

and solve it for

n

:

6

n

+

9

=

99

6

n

=

90

n

=

90

6

=

15

so our numbers will be:

2

n

+

1

=

31

2

n

+

3

=

33

2

n

+

5

=

35

Step-by-step explanation:

the length will be 92=4a

92 divided by 4 that is 23

so, the lengths of the four walls of a square or is the length is 23cm

Answer:

1. x=22  2. x= 28

Step-by-step explanation:

1. The total of angles in a triangle add up to 180˚.

93+65= 158

180-158=22

This means that x = 22

2. Angles on a straight line add up to 180.

180-125=55

180-83=97

55+97=152

180-152=28

This means that x = 28

Hope that this helps you.

Answer:

x = 3.75

Step-by-step explanation:

Replace y with the y equation.

So..

4x - 2(x + 1.75) = 4

Answer:

(3.75, 5.5)

Step-by-step explanation:

Adding x (3.75) to 1.75 gives 5.50 (5.5). If this is correct, then 4 x 3.75 + 2 x 5.5 = 4

Answer:

Step-by-step explanation:

The perimeter is basically the outline of the shape. The perimeter of a rectangle is given by P=2l+2w, where l is the length and w is the width. Thus, the perimeter of the flower bed would be given by P=2(3n5o)+2(5n5o).

Answer:

1760

Step-by-step explanation:

First Cuboid:

(L×B×H)
= 22×5×8

=880
Second Cuboid:

(L×B×H)

=12×5×8

=880

Total Volume:

880+880 = 1760

Hope This Helps!!!!

Step-by-step explanation:

Let's set up an algebraic equation to reflect the ratio of milk to water. We know that for every 1/3 cup of milk, we have 1/4 cup of water, so we can take:

1/3*m=1/4*w

How might we make that 1/3 cup into 1 cup of milk? We multiply by 3! What we do to one side we have to do to the other otherwise we change the equation (and break math), so we will multiply both sides by 3.

(1*3)/3*m=(1*3)/4*w

3/3*m=3/4*w

m=3/4w

[tex]~~~~~~ \stackrel{\textit{\Large Emma}}{\textit{Simple Interest Earned Amount}} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$2000\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ t=years\dotfill &8 \end{cases} \\\\\\ A=2000[1+(0.06)(8)]\implies A=2000(1.48)\implies \boxed{A=2960} \\\\[-0.35em] ~\dotfill[/tex]

[tex]~~~~~~ \stackrel{\textit{\Large Paul}}{\textit{Compound Interest Earned Amount}} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$2000\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{per year, thus once} \end{array}\dotfill &1\\ t=years\dotfill &8 \end{cases}[/tex]

[tex]A=2000\left(1+\frac{0.06}{1}\right)^{1\cdot 8}\implies A=2000(1.06)^8\implies \boxed{A\approx 3187.70}[/tex]

Answer:

1. 24ft ^3

2. 64in^3

3. 500yd^3

4. 32.832cm^3

Step-by-step explanation:

1. 4 * 3 * 2

= 24ft

2. 4 *4 * 4

= 64in

3. 20*5*5

= 500yd

4. 1.9*3.2*5.4

= 32.832

Answer:

B

Step-by-step explanation:

All real numbers

Let me know if this helped <3

√145 cm

Step-by-step explanation:

By Pythagoras property

Hypotenuse² = base²+perpendicular ²

(AC)² +(BC)² =(AB)²

9² + 8² = (AB)²

81+64 = (AB)²

145 =(AB)²

AB =√145

Answer:

112

Step-by-step explanation:

20 x 20 is 40

6 x 9 is 54

6 x 3 is 18

54 + 18 is 72

72 + 40 is 112

Answer:

472

Step-by-step explanation:

Use the order of operations PEMDAS

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

9 + 3 = 12

20^2 = 400

6 * 12 = 72

400 + 72 = 472

hope this helped! :)

Answer:

24

Step-by-step explanation:

Add them up

Answer:

2x + y = 173

Step-by-step explanation:

Answer:

96

Step-by-step explanation:

if u times 24x4=96

Answer:

The answer is A!

Step-by-step explanation:

Just by looking at the data, you can see the higher temps in Barstow are more consistent than that of those in Kingman.

Answer: THE answer is 3

Step-by-step explanation: ^^^^