6x-24 is equivalent too?

Answer:

23

Step-by-step explanation:

........................

Answer:

(10111)2 = (23)10

Step by step solution

Step 1: Write down the binary number:

10111

Step 2: Multiply each digit of the binary number by the corresponding power of two:

1x24 + 0x23 + 1x22 + 1x21 + 1x20

Step 3: Solve the powers:

1x16 + 0x8 + 1x4 + 1x2 + 1x1 = 16 + 0 + 4 + 2 + 1

Step 4: Add up the numbers written above:

16 + 0 + 4 + 2 + 1 = 23.

So, 23 is the decimal equivalent of the binary number 10111.

Answer:

are you doing angles or are u trying to figure out the question mark at the top???

Step-by-step explanation:

Answer:

the answer is -3/5

Step-by-step explanation:

x=-0.6

Answer:

0   =5x+3

-3   =5x

-3/5=x

    x=-3/5

The limit as P approaches zero from the right of the Gompertz model, −rP×ln( K/P ), is zero.

The equilibrium solutions of a differential equation occur when the derivative of the function is equal to zero. In this case, the Gompertz ODE is given by dt/dP = −rP×ln(K/P).

To find the equilibrium solutions, we set dt/dP equal to zero and solve for P:

−rP×ln(K/P) = 0

Since ln(K/P) cannot be zero, the only solution is P = 0. Therefore, the equilibrium solution of the Gompertz ODE is P = 0.

To graph the phase plot for the Gompertz model ODE, we plot the population size P on the y-axis and the time t on the x-axis. Since the equilibrium solution is P = 0, we plot a horizontal line at P = 0 to indicate the equilibrium solution.

The phase plot will consist of a family of curves that represent different initial conditions. Each curve in the family will start at a different initial population size and evolve over time according to the Gompertz model. As time progresses, the population size decreases towards the equilibrium solution P = 0.

It's important to note that the phase plot will not intersect the equilibrium solution since it represents a stable equilibrium point. Any initial population size will eventually approach zero as time goes to infinity.

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The number of different arrangements that can be formed is 7920

From the question, we have the following parameters that can be used in our computation:

Pictures = 11

Arranged pictures = 6

These can be represented as

n = 11 and r = 6

The number of different arrangements that can be formed is

Number = nPr

So, we have

Number = 11P4

Evaluate

Number = 7920

Hence, the arrangements are 7920

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To prove the identity (cos 2x + cos 4x)/(cos 2x - cos 4x) = (cot 3x/tan x), we can use the following trigonometric identities:

1. cos 2x = 2cos^2 x - 1

2. cos 4x = 8cos^4 x - 8cos^2 x + 1

3. cot 3x = (3cos^2 x - 1)/(3sin x cos x)

4. tan x = sin x/cos x

Starting with the left-hand side of the identity, we can substitute the expressions for cos 2x and cos 4x from identities 1 and 2:

(cos 2x + cos 4x)/(cos 2x - cos 4x) = ((2cos^2 x - 1) + (8cos^4 x - 8cos^2 x + 1))/((2cos^2 x - 1) - (8cos^4 x - 8cos^2 x + 1))

Simplifying this expression gives:

(cos 2x + cos 4x)/(cos 2x - cos 4x) = (6cos^2 x)/(2cos^2 x) = 3

Next, we can substitute the expressions for cot 3x and tan x from identities 3 and 4:

(cot 3x/tan x) = ((3cos^2 x - 1)/(3sin x cos x))/(sin x/cos x)

Simplifying this expression gives:

(cot 3x/tan x) = (3cos^2 x - 1)/sin x = 3cos^2 x/cos x = 3cos x

Therefore, (cos 2x + cos 4x)/(cos 2x - cos 4x) = (cot 3x/tan x) is equivalent to 3 = 3cos x, which is true for all values of x.

So, the identity is proven.

Answer:

92.14

Hope this helps!

Step-by-step explanation:

To find the area of the figure, you need to find the area of the rectangle and the semi-circle.

13 × 6 = 78, the area of the rectangle is 78.

The area of the semi-circle can be found using the formula \(\frac{\pi r^{2} }{2}\), the diameter is 6 so the radius is 3.

\(\frac{\pi 3^{2} }{2} =\frac{\pi 9}{2} =\frac{9\pi }{2} = \frac{28.27433...}{2} = 14.1371...\)

14.137 + 78 = 92.137 or 92.14.

Using the provided values for the points and the slope, With the formula of slope we can calculate the value of a = 14/5 =2.8 and the ratio as

1:1.49 .

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction. Divide the difference in elevation between two points by the distance between them to find the percent slope, then multiply the result by 100. The term "rise" refers to the difference in elevation between two sites. The run is the separation between the points. Percent slope is therefore equal to (rise / run) x 100.

A ratio in mathematics demonstrates how many times one number is present in another. For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six. Similarly, the ratio of oranges to the total amount of fruit is 8:14, while the ratio of lemons to oranges is 6:8.

point (1,a) divided line joined by  (-1,4) and (4,1).

Since, The slope between these points are same as they all line in a single line, we can ,

\(\frac{a-4}{1+1} = \frac{1-a}{4-1}\)

3a-12=2-2a

5a=14

a=14/5 =2.8.

distance between (-1,4) and (1,2.8),

\(d1 = \sqrt{(1--1)^2 +(2.8-4)^2}\\=\sqrt{5.44}\\=2.33\)

distance between (1,2.8) and (4,1),

\(d2= \sqrt{(4-1)^2 + (1-2.8)^2}\\=\sqrt{12.24}\\=3.49\\\\\)

ratio = d1/d2

= 1: 1.49

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Given that, the parametric equations are x = t cos(t) and y = t sin(t), where t = pi.

The first derivative of x(t) is `dx/dt=cos(t)-t*sin(t)`The first derivative of y(t) is `dy/dt=sin(t)+t*cos(t)`Let (x, y) be the point on the curve where t = π.

So the coordinates of the point are `(x, y) = (π(-1), π(0))`.The slope of the tangent line is `dy/dx=dy/dt÷dx/dt`.

Therefore, `dy/dx=(sin(t)+t*cos(t))/(cos(t)-t*sin(t))`, and at `t = π`, we have `dy/dx = (0 + π(-1)) / (-1 - π(0)) = π/(1) = π`.So the slope of the tangent line is π when `t = π`.

Thus the equation of the tangent line at t = π is `y = π(x - π)`.

The derivative of a function measures the rate at which the function's value changes with respect to its input variable. It provides information about the slope or steepness of the function at a particular point. The derivative of a function f(x) is commonly denoted as f'(x) or dy/dx.

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Answer:

520 per 16 seconds.

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Answer:

52in^2

Step-by-step explanation:

The area of a triangle is A= 1/2bh

The area of a rectangle is A=lw

The base of the top triangle would be the length of the base of the two right triangles plus the length of the width of the the rectangle.

A=1/2bh

A=1/2(2+2+4)(4)

A=1/2(8)(4)

A=1/2(32)

A=16in^2

        2. The two right triangles

A=1/2bh

A=1/2(2)(6)

A=1/2(12)

A=6in^2

(Because the two triangle are the same we just multiply the area by 2 to get the value of both)

A=12in^2

       3. The rectangle

A=lw

A=6(4)

A=24in^2

-

Now just add the value of the areas for the different shapes.

16in^2 + 12in^2 + 24in^2 = 52in^2

Answer:

It/p= r

Step-by-step explanation:

divide p and t out of the r and multiply by the recipricol

Answer:

39/100

Step-by-step explanation:

Multiply 1 by -2/3 which would be w + 2/3 then subtract from both sides of the equation w + 2/3 - 2/3 = 1.06 - 2/3

then simplify down to 0.39 which would be 39/100 in simplest form.

Answer:

39/100

Step-by-step explanation:

Let’s solve your equation step by step:

W-(-2/3)=1.06

Step 1 : Simplify both sides of the equation.

w+2/3=1.06

Step 2: Subtract 2/3 from both sides.

w+2/3-2/3 =1.06-2/3

W=0.393333

But in fraction form it’s 39/100

hope this helps

Answer:

27mph

Step-by-step explanation:

Let's assume the speed of the first car is x mph. Since the second car is traveling 6 mph slower, its speed would be (x - 6) mph.

To find out how far each car has traveled, we can use the formula: distance = speed × time.

For the first car:

Distance traveled by the first car = speed of the first car × time

d₁ = x mph × (4 hours + 20 minutes)

Since we need to work with a single unit of time, let's convert 20 minutes to hours:

20 minutes = 20/60 = 1/3 hours

Substituting the values:

d₁ = x mph × (4 + 1/3) hours

d₁ = x mph × (13/3) hours

d₁ = (13x/3) miles

For the second car:

Distance traveled by the second car = speed of the second car × time

d₂ = (x - 6) mph × (4 hours + 20 minutes)

d₂ = (x - 6) mph × (13/3) hours

d₂ = (13/3)(x - 6) miles

Since they are traveling in opposite directions, the sum of their distances is equal to the total distance between them:

d₁ + d₂ = 260 miles

Substituting the expressions for d₁ and d₂:

(13x/3) + (13/3)(x - 6) = 260

To simplify the equation, let's multiply both sides by 3 to get rid of the denominators:

13x + 13(x - 6) = 780

13x + 13x - 78 = 780

26x - 78 = 780

26x = 780 + 78

26x = 858

x = 858/26

x ≈ 33

The speed of the first car is approximately 33 mph. Substituting this value back into the equation for the speed of the second car:

Speed of the second car = x - 6 ≈ 33 - 6 ≈ 27 mph

Therefore, the first car is traveling at approximately 33 mph, and the second car is traveling at approximately 27 mph.

Answer:

(-8,5)

Step-by-step explanation:

The standard form of the equation of a circle is expressed as;

(x-a)^2+(y-b)^2 = r^2 where;

(a, b) is the centre

r is the radius

Given the equation (x+8)^2+(y-5)^2=14.

Compare the two expressions

-a = +8

a = -8

Similarly;

-b = -5

b = 5

Hence the centre of the circle is at (-8,5)

The absolute value of the determinant of the Jacobian for the change of coordinates x = e^-2u cos(4), y = e^-2u sin(4v) is 4e^-2u.Therefore, the absolute value of the determinant of the Jacobian is 4e^-2u.

The Jacobian for the transformation T is given by the matrix:

[ ∂x/∂u  ∂x/∂v ]

[ ∂y/∂u  ∂y/∂v ]

We can compute the partial derivatives as follows:

∂x/∂u = -2e^-2u cos(4)

∂x/∂v = 4e^-2u sin(4v)

∂y/∂u = -2e^-2u sin(4v)

∂y/∂v = 4e^-2u cos(4v)

Therefore, the Jacobian is:

[ -2e^-2u cos(4)   4e^-2u sin(4v) ]

[ -2e^-2u sin(4v)  4e^-2u cos(4v) ]

The absolute value of the determinant of this matrix is:

|det [ -2e^-2u cos(4) 4e^-2u sin(4v) ]| = |-8e^-4u cos(4)v - (-8e^-4u cos(4)v))| = 4e^-2u

Therefore, the absolute value of the determinant of the Jacobian is 4e^-2u.

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A 50 percent increase in Earth's albedo, which refers to the reflectivity of its surface, would lead to a decrease in average surface temperatures.

Albedo plays a crucial role in determining how much of the sun's energy is absorbed or reflected by the Earth. The given information states that approximately 30 percent of the sun's energy is currently reflected back into space. If Earth's albedo increases by 50 percent, meaning more energy is reflected, it would result in less energy being absorbed by the Earth's surface and atmosphere.

The increased albedo would cause a higher percentage of the incoming solar radiation to be reflected and scattered back into space. With less energy being absorbed, the average surface temperatures would decrease. This is because less solar energy would be available to warm the Earth's surface and drive atmospheric processes that contribute to temperature regulation. Therefore, a 50 percent increase in Earth's albedo would likely lead to a cooling effect and lower average surface temperatures on our planet.

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The Total height of skyscraper from ground is; 118.25 m

The formula to use tangent as trigonometric ratio is;

tan θ = Perpendicular/Base

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The base is the adjacent smaller side of the angle θ.

Since the horizontal distance between Hannah's eyes and the sky scrapper is 194 meters while the angle between the eye and the top of the sky scrapper is 31°. Therefore, the vertical height of the sky scrapper from the height of Hannah's eye level, using the tangent function can be written as;

tan 31 = height of skyscraper from eye level/194

height of skyscraper from eye level = 116.57 m

Total height of skyscraper from ground = 116.57 m + 1.68 m

= 118.25 meters

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Katy's house is about 8.1 miles from Camilla's house, measured in a straight line.

we apply the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

Using the Pythagorean theorem, we have:

H^2 = west distance^2 + north distance^2

H^2 = 4.6^2 + 6.7^2

H^2 = 21.16 + 44.89

He^2 = 66.05

We take the square root of both sides, we get:

hypotenuse = 8.13

We then can say that  Katy's house is about 8.1 miles from Camilla's house, measured in a straight line.

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Downsizing refers to the process of reducing the size and workforce of a company to cut costs, increase efficiency, or adapt to changing market conditions. It involves eliminating positions, reducing staff numbers, or even closing down certain business units or branches.

Downsizing can occur for various reasons, such as financial difficulties, mergers and acquisitions, technological advancements, or strategic reorganization. Companies often assess their operational costs and decide to downsize to improve their financial performance.

During the downsizing process, companies may calculate the potential cost savings by considering factors such as salaries, benefits, severance packages, and operational expenses. For example, if a company decides to eliminate 100 positions with an average salary of $50,000 per year, it could result in annual savings of $5 million.

While downsizing can help companies achieve short-term cost reductions, it often has significant implications for the affected employees, including layoffs, reduced morale, and increased workload for remaining staff. It is crucial for organizations to handle the downsizing process with sensitivity and transparency, providing support to affected employees and communicating the rationale behind the decisions.

It is important to note that downsizing should not be seen as a long-term solution, but rather as a strategic measure to address specific challenges. Companies should also explore alternatives to downsizing, such as retraining and redeploying employees, implementing productivity improvements, or seeking new business opportunities, to ensure sustainable growth and success in the long run.

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Answer: HI

w = 8

Step-by-step explanation:

hi

P = 2L + 2W

P = 72

L = 2W + 4

72 = 3(2W + 4) 2W

72 = 6W + 8 + 2W

72 =8W + 8

64 = 8W

W = 8

if the width is 8, then the length is thrice that plus 4 or 28 + 28 + 8 + 8 = 72

Answer:

9. 6.32

10. 4.12

Step-by-step explanation:

9. c^2 = 2^2 + 6^2 = 4 + 36 = 40

c = √40 = 6.32

10. c^2 = 1^2 + 4^2 = 17

c = √17 = 4.12

Answer:

V=25

Step-by-step explanation:

Solve for

v

v

by simplifying both sides of the equation, then isolating the variable.

v

=

25

Answer: V =  25

Step-by-step explanation:

5^ 7v / 5 = 5^35

7v=175

(7v/7)=(175 /7 )

v=25

Hopes this helps :)

Step-by-step explanation:

Area of a triangle = 1/2 base leg  * height

                area =  1/2 * 9 * 6 = 27 cm^2

Answer: 27 cm²

Step-by-step explanation:

     To find the area of the base of this right triangular prism we can use the area formula for a triangle. Make sure you are using the correct base (b) and height (H) in the formula that apply to the base triangle.

Given:

   A = \(\frac{bH}{2}\)

Substitute known values:

   A = \(\frac{(9\;cm)(6\;cm)}{2}\)

Multiply:

   A = \(\frac{54\;cm^2}{2}\)

Divide:

   A = 27 cm²

Answer:

Step-by-step explanation:

The volume is \(V = \frac{1}{3} b^{2} h\)

Known facts:

Let us plug in the known value into the pyramid

   \(v=\frac{1}{3} * 5^{2} *6 = 50\) cubic centimeters

The volume of a square pyramid is 50 cubic centimeters!

Hope that helps!

Pilar climb 6.5 feet and Jake climbed 9.5 feet.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx

where, m is the slope

Given:

slope of pilar = 3-2/3-1 = 1/2

After 10 steps let the height covered by x.

then, slope= x-2/10-1

1/2 = x-2/ 9

9 = 2x -4

13 = 2x

x= 6.5 feet

now, slope of Jake= 8-5/7-1 = 3/6 = 1/2

After 10 steps let the height covered by y.

then, slope= x-5/10-1

1/2 = y-5/9

2y- 10 = 9

2y= 19

y= 19/2

y= 9.5 feet

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The annual gross income of the server will be $52936.

The average is defined as the mean value of the given data which is equal to the ratio of the sum of the data value to the total number of units present in the data.

A certain server works four 6-hour shifts a week at a restaurant and has a base salary of $9.75/ℎ. An average server sells $1400 in a single shift.

For the 6-hour shift, the server earns could be

6 x $9.75 = $58.5 a shift

The total money made for the 4 shifts in a week will be

4 x $58.5 = $234

If the server makes an average of 14% of a bill and makes about $1400 in a single shift.

he can makes a tip in a single shift

14% of $1400 = 0.14 x $1400 = $196

he makes in a week

4 x $196 = $784

IN a week the total money the server makes,

$234 + $784 = $1018

52 weeks = 1 year.

The server's annual gross income;

52 x $1018 = $52936

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