Which of the following is not one of Euclid’s postulates?

Answer:

a

   [tex]y(t) = y_o e^{\beta t}[/tex]

b

      [tex]x(t) =  x_o e^{\frac{-\alpha y_o }{\beta }[e^{-\beta t} - 1] }[/tex]

c

      [tex]\lim_{t \to \infty} x(t) = x_oe^{\frac{-\alpha y_o}{\beta } }[/tex]

Step-by-step explanation:

From the question we are told that

    [tex]\frac{dy}{y} =  -\beta dt[/tex]

Now integrating both sides

     [tex]ln y  =  \beta t + c[/tex]

Now taking the exponent of both sides

       [tex]y(t) =  e^{\beta t + c}[/tex]

=>     [tex]y(t) =  e^{\beta t} e^c[/tex]

Let  [tex]e^c =  C[/tex]

So

      [tex]y(t) = C e^{\beta t}[/tex]

Now  from the question we are told that

      [tex]y(0) =  y_o[/tex]

Hence

        [tex]y(0) = y_o  = Ce^{\beta * 0}[/tex]

=>     [tex]y_o = C[/tex]

So

        [tex]y(t) = y_o e^{\beta t}[/tex]

From the question we are told that

      [tex]\frac{dx}{dt}  = -\alpha xy[/tex]

substituting for y

      [tex]\frac{dx}{dt}  = - \alpha x(y_o e^{-\beta t })[/tex]

=>   [tex]\frac{dx}{x}  = -\alpha y_oe^{-\beta t} dt[/tex]

Now integrating both sides

         [tex]lnx = \alpha \frac{y_o}{\beta } e^{-\beta t} + c[/tex]

Now taking the exponent of both sides

        [tex]x(t) = e^{\alpha \frac{y_o}{\beta } e^{-\beta t} + c}[/tex]

=>     [tex]x(t) = e^{\alpha \frac{y_o}{\beta } e^{-\beta t} } e^c[/tex]

Let  [tex]e^c  =  A[/tex]

=>  [tex]x(t) =K e^{\alpha \frac{y_o}{\beta } e^{-\beta t} }[/tex]

Now  from the question we are told that

      [tex]x(0) =  x_o[/tex]

So  

      [tex]x(0)=x_o =K e^{\alpha \frac{y_o}{\beta } e^{-\beta * 0} }[/tex]

=>    [tex]x_o = K e^{\frac {\alpha y_o  }{\beta } }[/tex]

divide both side  by    [tex] (K * x_o)[/tex]

=>    [tex]K = x_o e^{\frac {\alpha y_o  }{\beta } }[/tex]

So

    [tex]x(t) =x_o e^{\frac {-\alpha y_o  }{\beta } } *  e^{\alpha \frac{y_o}{\beta } e^{-\beta t} }[/tex]

=>   [tex]x(t)= x_o e^{\frac{-\alpha * y_o }{\beta} + \frac{\alpha y_o}{\beta } e^{-\beta t} }[/tex]

=>    [tex]x(t) =  x_o e^{\frac{\alpha y_o }{\beta }[e^{-\beta t} - 1] }[/tex]

Generally as  t tends to infinity ,  [tex]e^{- \beta t}[/tex] tends to zero  

so

    [tex]\lim_{t \to \infty} x(t) = x_oe^{\frac{-\alpha y_o}{\beta } }[/tex]

Answer:

[tex]x = \frac{68}{27}[/tex]

Step-by-step explanation:

Let x be the number

I hope this helps!

Answer:

3 ratios that are equivelent to 4 : 3

8 : 6

20 : 15

and 12 : 9

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Trust meh

Step-by-step explanation:

d uahsizagxuxbsixvaixbx akbxoa soxnaox aoxk. is. os xia xida

Answer:

Step-by-step explanation:

Let the distance be d

Then the time in travel is

The round trip would take 1/2 hours longer if the average speed was 55 mph

LCM(60,50,55) = 11*12*5*5 = 3300

Answer:

d= 1650 miles

Step-by-step explanation:

Answer:

A: 27 divided by 3 B. $9.00

Step-by-step explanation:

do u have a diagram for this?

Answer:

(f - g)(x) = -7x - 3

Step-by-step explanation:

Step 1: Define

f(x) = -3x - 5

g(x) = 4x - 2

Step 2: Find (f - g)(x)

(f - g)(x) = -3x - 5 - (4x - 2)

(f - g)(x) = -3x - 5 - 4x + 2

(f - g)(x) = -7x - 3

Answer:

Step-by-step explanation:

If the given variables are 127 hours of sleep per week for a Giant Armadillo, and 98 hours of sleep per week for a Platypus, to determine which animal gets the most sleep, first multiply the total hours of sleep of each animal per week to the total number of weeks In a year, which is 52. Once you get the answers, which are 6,604 hours of sleep in a year for the Giant Armadillo and 5,096 hours of sleep in a year for a Platypus. You subtract 6,604 and 5,096 together to get the answer, which is 1,508. Therefore we conclude that that the Giant Armadillo has 1,508 hours more hours of sleep than a Platypus in a Year.

Answer:

1508 hour I think !!!!!!!!!!

Answer:

X=0

Step-by-step explanation:

most likely it's zero i also double checked it too so I think,you should be good.

Answer:

This shows 3 pivot position matrixes.

Step-by-step explanation:

The given matrix is:  

[tex]\left[\begin{array}{ccc}1&-2&-5\\0&4&3\\-3&3&0\end{array}\right][/tex]

The option D is correct for this matrix.

The matrix is invertible and the given matrix has 3 pivot positions.

The matrix is invertible if its determinant is nonzero.

Multiply the 3rd row by 1/3.we get:

[tex]\left[\begin{array}{ccc}1&-2&-5\\0&4&3\\-1&1&0\end{array}\right][/tex]

Now, add the first row with third row:

[tex]\left[\begin{array}{ccc}0&-1&-5\\0&4&3\\-1&1&0\end{array}\right][/tex]

Replace third row by first row:

[tex]\left[\begin{array}{ccc}-1&1&0\\0&4&3\\0&-1&-5\end{array}\right][/tex]

This shows 3 pivot position matrixes.

Hence, a matrix is invertible and has 3 pivot positions.

Given:

Right triangle A: Base = 2 inches and Height = 7 inches.

Right triangle B: Base = 10 inches and Height = 35 inches.

To find:

The scale factor applied to Right triangle A to produce Right triangle B.​

Solution:

We have,

Base of right triangle A = 2 inches

Base of right triangle B = 10 inches

Now,

[tex]\text{Scale factor}=\dfrac{\text{Side of right triangle B}}{\text{Corresponding side of right triangle A }}[/tex]

[tex]Scale\text{Scale factor}=\dfrac{\text{Base of right triangle B}}{\text{Base of right triangle A }}[/tex]

[tex]\text{Scale factor}=\dfrac{10}{2}[/tex]

[tex]\text{Scale factor}=5[/tex]

Therefore, the scale factor of 5 applied to Right triangle A to produce Right triangle B.​

Answer:

Step-by-step explanation:

This sequence is adding 5 so

17 22 27 32 37 42 47 52 57 62 67 72 77 82 87 92 97 102 107 112 117 122 127 132 137 = 1925

Answer: The sum of the first 25 terms of this arithmetic sequence is 1925.

Explanation: This sequence, beginning at 17, increases by 5 per term. By simply adding 5 to the preceding term in the sequence, you can find the next term. The first term is 17, and the last term is 137. This means the list of terms is 17, 22, 27, 32, 37, 42, 47, 52, 57, 62, 67, 72, 77, 82, 87, 92, 97, 102, 107, 112, 117, 122, 127, 132, and 137. The sum of these terms is 1925.

Answer:

-8

Step-by-step explanation:

4x2=8

change to negative since a negative times a positive is a negative

-8

Answer: -8

Step-by-step explanation: -4* 2= -8

Answer:

If the first one is a, next is b, ect., then answer is C

Step-by-step explanation:

Just take the first thing. Distributive property and it goes to 9x. From there only one choice has 9x, so ez.

Answer:

Here, x represents the number of 20-pound boxes and y represents the number of 30 pound boxes.

Step-by-step explanation:

I think is the same question for this answer

Answer:

The perimeter of a shape is the total measurement of all the edges of a shape.

Perimeter of the square is 460 unit.

Since, coordinates of three vertices of square ABCD are given as   A(−212,112),   B(−212,−3) and C(2,112).

If coordinate of M(a, b) and N(c, d) are given.

Then by using distance formula,

[tex]MN=\sqrt{(d-b)^{2} +(c-a)^{2} }[/tex]

Similarly,  [tex]AB=\sqrt{(-3-112)^{2}+(-212+212)^{2} } \\\\AB=115[/tex]

In square, all four sides are equal.

Perimeter of Square, [tex]=4*side[/tex]

                                  [tex]=4*115=460[/tex] unit.

Learn more:

https://brainly.com/question/13511952

Answer:

63°

Step-by-step explanation:

Hi there !

ABCD parallelogram => ∡A = ∡C

13x - 41 = 6x + 15

13x - 6x = 15 + 41

7x = 56

x = 56 : 7

x = 8

∡C = 6×8 + 15 = 48 + 15 = 63°

Good luck !

Answer:

11x+15

Step-by-step explanation:

Answer:

76

Step-by-step explanation:

1.) 8 x 8 =64

2.) 12 + 64 =76

Answer: it is 76 cm long and the equation is 8x8+12= length of hair after 8 years.

Step-by-step explanation:

The hair grows 8 cm a year and it has been 8 years so we get 8x8. Then the last time he cut his hair it was 12 inches so we have to add that and yeah...

Answer:

1.34 x 10^7

Step-by-step explanation:

I hope this helped!

Answer:

I would think that would be $200

Answer:

13.5 or if in fraction 27÷2

Step-by-step explanation:

1.5 = m ÷ 9

1.5 × 9 = m (since you're finding m,shift the 9 to the left.So divide becomes multiply)

27/2 (27÷2) or 13.5 = m

Answer:

what is the question

Step-by-step explanation:

Answer:

FOR QUESTION 2

1. Segment addition postulate

2. Substitution

3. Substitution

4. Addition property of equality

5. Division property of equality

6 symmetric property

FOR QUESTION 3

1. given

2. Definition of complementary angles (complementary angles add upto 90)

3. Substitution

4. Subtraction property of equality

FOR QUESTION 4

1. Given

2. Definition of supplementary angles (supplementary angles add upto 180)

3. Definition of supplementary angles

4. Substitution

5. Subtraction property if equality

6. Definition of congruent angles (congruent angles are equal)

Step-by-step explanation:

Answer:

I not understand your questions

Work Shown:

f(x) = -(2x-1)^2 - 2

f(-3) = -(2*(-3)-1)^2 - 2 ... replace every x with -3

f(-3) = -(-6-1)^2 - 2

f(-3) = -(-7)^2 - 2

f(-3) = -49 - 2

f(-3) = -51

Answer:

Explained below.

Step-by-step explanation:

In this case we need to determine if there has been an increase in the proportion of rooms occupied over the one-year period.

(a)

The hypothesis can be defined as follows:  

H₀: The proportion of rooms occupied over the one-year period has not increased, i.e. p₁ - p₂ ≤ 0.  

Hₐ: The proportion of rooms occupied over the one-year period has increased, i.e. p₁ - p₂ > 0.  

(b)

The information provided is:

n₁ = 1750

n₂ = 1800

X₁ = 1470

X₂ = 1458

Compute the sample proportions and total proportions as follows:

 [tex]\hat p_{1}=\frac{X_{1}}{n_{1}}=\frac{1470}{1750}=0.84\\\\\hat p_{2}=\frac{X_{2}}{n_{2}}=\frac{1458}{1800}=0.81\\\\\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{1470+1458}{1750+1800}=0.825[/tex]

(c)

Compute the test statistic value as follows:

[tex]Z=\frac{\hat p_{1}-\hat p_{2}}{\sqrt{\hat p(1-\hat p)\times [\frac{1}{n_{1}}+\frac{1}{n_{2}}]}}[/tex]

   [tex]=\frac{0.84-0.81}{\sqrt{0.825(1-0.825)\times [\frac{1}{1750}+\frac{1}{1800}]}}\\\\=2.352[/tex]

The test statistic value is 2.352.

(d)

The decision rule is:

The null hypothesis will be rejected if the p-value of the test is less than the significance level.

Compute the p-value as follows:

 [tex]p-value=P(Z>2.352)=1-P(Z<2.352)=1-0.99061=0.00939[/tex]

The p-value of the test is very small. The null hypothesis will be rejected at any significance level.

Thus, there enough evidence suggesting that there has been an increase in the proportion of rooms occupied over the one-year period.