What laws being modeled?

Answer:

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...

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:

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:

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:

Answer:

I would think that would be $200

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:

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:

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:

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:

what is the question

Step-by-step explanation:

Answer:

it is just length plus width times two.

Step-by-step explanation:

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.

Answer:

there are 195 girls

Step-by-step explanation:

the equation is: 364= 2x+26

subtract 26 from both sides and you get 338

338 divided by 2 is 169, therefore there are 169 boys.

169+26 more girls is 195

169+195= 364

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

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:

-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: Choice C

9(51-12) = 9(51) - 9(12)

============================================

Explanation:

The distributive property is

a(b+c) = a*b + a*c

which can also be written as

a(b-c) = a*b + a*(-c) = a*b - a*c

In this case we're using

a(b-c) = a*b - a*c

where a = 9, b = 51, c = 12

Answer:

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

Step-by-step explanation:

Let x be the number

I hope this helps!

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 !!!!!!!!!!

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:

First, let's find the equations for our lines:

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

f(x) passes through (5,0) and (10, 10), then the slope is:

a = (10 - 0)/(10 - 5) = 10/5 = 2.

then we have:

y = 2*x + b

And when x = 5, we have y = 0.

0 = 2*5 + b

0 = 10 + b

b = -10

Then the equation for f(x) is:

y = f(x) = 2*x - 10.

Now for g(x) we have the points:

(3, 0) and (2, 10)

a = (10 - 0)/(2 - 3) = -10

y = -10*x + b

0 = -10*3 + b

b = 30.

y = g(x) = -10*x + 30.

A) Ok, the transformations:

Transformation 1 or T1.

f(x) = 2*x - 10

g(x) = -10*x + 30.

Then, we start with f(x):

First, we can move f(x) up 4 units and get:

f'(x) = 2*X - 6

Now we can dilate f(x) with a scale factor of -5 from the origin, now we get:

f''(x) = -5*f'(x) = -10*x + 30.

And this is g(x).

Transformation 2 or T2.

Move f(x) up 10 units, so now we have:

f'(x) = 2*x

Do a reflection over the x-axis, so the sign of y changes, and now we get:

f''(x) = -2*x

Do a dilation of scale factor 5

f'''(x) = 5*-2*x = -10*x

Now do a vertical translation of 30 units up.

f''''(x) = -10*x + 30 = g(x).

These are two transformations that start with f(x) and end with g(x).

B) Ok, as i was writting the transformations i already solved them, so this part is already done.

C) the equation for the transformations are:

T1) g(x) = -5*(f(x) + 4)

T2) g(x) =  -(f(x) + 10)*5 + 30

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:

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

do u have a diagram for this?

Answer:

1.34 x 10^7

Step-by-step explanation:

I hope this helped!

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.