What is half way between 4/5 and 14/15 in its simpelest form

Dilation and rotation will not produce a congruent triangle

What is rotation ?

The rotation of a point with regard to the origin is described by the rotation formula. To get the position of the point after rotation, apply the rotation formula. Rotation is a circular movement about the specific axis or point of rotation. In general, there are two common directions for rotation: clockwise and anti-clockwise or counter-clockwise.

Rotations, reflections and translations are known as rigid transformations; this means they do not change the size or shape of a figure, they simply move it. These rigid transformations preserve congruence.

Dilation, however, are not rigid transformations, since they change the size of a shape. Dilation would not change the shape, just the size; the angle measures would be the same, and the ratio of corresponding sides would be equal to the scale factor used in the dilation. This would give us a similar, but not congruent, figure.

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The steady-state output per worker (y*) is given by y* = A*(k*)^(1/3), and the level of technology (A) remains constant in the steady state.

To derive the steady-state output per worker (y*) in the Solow growth model, we start with the production function:

y = Ak^(1/3)

Where y represents output per worker, A is the level of technology, and k is capital per worker. In the steady state, capital per worker remains constant, so we have dk/dt = 0, where d represents the derivative.

Taking the derivative of the production function with respect to time (t), we get:

dy/dt = (dA/dt)k^(1/3) + A(1/3)k^(-2/3)dk/dt

Since dk/dt = 0 in the steady state, the equation simplifies to:

dy/dt = (dA/dt)k^(1/3)

In the steady state, output per worker does not change over time, so dy/dt = 0. This leads to:

(dA/dt)k^(1/3) = 0

Since k^(1/3) is positive, we must have dA/dt = 0. This means that the level of technology (A) remains constant in the steady state.

Now, substituting A = A* (where A* represents the steady-state level of technology) into the production function, we have:

y* = A*(k*)^(1/3)

where k* represents the steady-state capital per worker.

Therefore, the steady-state output per worker (y*) is given by y* = A*(k*)^(1/3), and the level of technology (A) remains constant in the steady state.

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Answer:

The answer would be -10x-9

Answer: x=7/5 or 1 2/5

Step-by-step explanation:

Given

x+3/5=2

Subtract 3/5 on both sides

x+3/5-3/5=2-3/5

x=10/5-3/5 (This is to convert 2, as a integer, to a fraction in order to ease the                  

x=7/5          operation)

Answer:

were is the pic I cant answer lik

Answer:

1152$

Step-by-step explanation:

b1 = 7/8 C

b2 = 5/6 b1 = 35/ 48 C

7/8 C + 35/48 C = C + 696

42/48 C + 35/48 C = 48/48 C + 696 * 48/48

(42 + 35 - 48 ) C = 696 * 48

29 C = 33408

C =1152.

Answer:

HI! The answer should be around 340.194 grams

Step-by-step explanation:

Calculated it

Answer:

340.194 grams inside the can of orange juice.

Step-by-step explanation:

Answer:

Option 2. That is the best option for this problem

Answer:

Step-by-step explanation:

The area of the equilateral triangle is \(\frac{\sqrt{3}}{4}(6)^{2}=\boxed{9\sqrt{3}}\)

In order to solve this problem, we'll use the Combinations Formula. This is because the order in which the coins are flipped is unimportant; all that matters is the total number of heads and tails. We'll begin by counting the number of ways to get exactly 4 tails and exactly 8 tails, then the number of ways to get 5 tails and 6 tails, and finally the number of ways to get 7 tails. We will then add all of these numbers together to get the final answer.

When you toss a coin, there are only two possibilities: heads or tails.

Let's call the number of times you get tails "t." We want to find the number of ways to toss the coin 11 times so that

4 <= t <= 8.

Here's how we can do it:

First, we'll find the number of ways to get exactly 4 tails. We know that we're flipping the coin 11 times, so there are 11 choose 4 ways to choose which 4 of those tosses will be tails. The other 7 tosses will be heads. Using the Combinations Formula, this gives us:

11 choose 4 = 330

Next, we'll find the number of ways to get exactly 8 tails. This is similar to the previous step, except that we're choosing 8 of the 11 tosses to be tails. The other 3 tosses will be heads. Using the Combinations Formula, this gives us:

11 choose 8 = 330

Again, using the Combinations Formula, we can find the number of ways to get exactly 5 tails and 6 tails:

11 choose 5 = 462

11 choose 6 = 462

Finally, we need to find the number of ways to get exactly 7 tails. This is a little trickier, but we can do it by splitting the problem into two cases: when the first toss is a tail and when the first toss is a head.

Case 1: The first toss is a tail. Then we need to get 6 tails in the remaining 10 tosses. There are 10 choose 6 ways to choose which 6 of the remaining 10 tosses will be tails. Using the Combinations Formula, this gives us:

10 choose 6 = 210

Case 2: The first toss is a head. Then we need to get 7 tails in the remaining 10 tosses. There are 10 choose 7 ways to choose which 7 of the remaining 10 tosses will be tails.

Using the Combinations Formula, this gives us:

10 choose 7 = 120

Adding up all of these numbers, we get:

330 + 330 + 462 + 462 + 210 + 120 = 1914

So there are 1914 ways to toss a coin 11 times so that the number of tails is between 4 and 8 inclusive.

Thus, the required answer is 1914.

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Answer: 29/8 of 3.625

Step-by-step explanation:

6 1/8- 2 1/2= 29/8 or 3.625

Answer: 29/8

Step-by-step explanation:

Answer:

$52000.00

Step-by-step explanation:

formula= principal (1+(rate÷100))^years

500 (1+(4÷100))^1

500 (1+0.04)^1

500 (1.04)

520

$520.00

100 cents = $1

520×100

52000 cents

Answer: The answer is B) y < 0

Answer: B

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(\displaystyle\\(64x^\frac{2}{3})^{-\frac{1}{3}} =\\\\(4^3x^\frac{2}{3})^{-\frac{1}{3}}=\\\\ 4^{3*(-\frac{1}{3})}x^ {\frac{2}{3}*(-\frac{1}{3} )}=\\\\ 4^{-1}x^{-\frac{2}{9} }=\\\\\frac{1}{4} x^{-\frac{2}{9} }=\\\\\frac{1}{4} (\frac{1}{x^\frac{2}{9}} } )=\\\\\frac{1}{4\sqrt[9]{x^2} }\)

Answer:

For completing the square, you need the coefficient of the x^2 term to be 1.

http://www.1728.org/quadr2.htm

Step-by-step explanation:

We are given to find the indefinite integral of the function f(z) = z³ + 1/(6 - z)⁸.

∫f(z) dz = ∫(z³ + (6 - z)⁻⁸) dz

We can easily integrate the first part by applying the power rule of integration.

∫z³ dz = (z⁴/4) + C₁, where C₁ is the constant of integration. Then, we can work on the second part, using substitution.

u = 6 - zdu/dz = -1

⇒ du = -dz

Putting it all together, we get,

∫f(z) dz = (z⁴/4) + ∫(6 - z)⁻⁸ du

We can apply the power rule of integration to the second part.

∫(6 - z)⁻⁸ du

= -(6 - z)⁻⁷/7 + C₂,

where C₂ is the constant of integration. Finally, putting everything together, we get

∫f(z) dz = (z⁴/4) - (6 - z)⁻⁷/7 + C,

where C is the constant of integration.

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Answer:

The perpendicular equation is y = -3x -21

Step-by-step explanation:

Perpendicular lines have the exact opposite slope as the other equation and they never have the same y-intercept.

To find the perpendicular slope just look at the slope in the original equation and get the exact opposite.

First let's simplify the equation.

-5 + x = 3y (divide by 3 on both sides to get y by itself)

-5/3 + 1/3x = y or y = 1/3x + 5/3

The exact opposite of this slope would be -3.

Now plug in the point you were given so that we can find the y-intercept.

6 = -3(-9) + b   (b = y-intercept)

6 = 27 + b (subtract 27 on both sides)

-21 = b

So the perpendicular equation looks like this.

y = -3x -21

Answer:

a=2.5!

Step-by-step explanation:

The specific circumstances of the Oso slide, including the large volume of debris, the speed of the landslide, and the force exerted, likely contributed to the difficulty in finding survivors or bodies at the original location of homes.

The Oso slide refers to the devastating landslide that occurred on March 22, 2014, in Oso, Washington, in the United States.

The landslide resulted in the loss of 43 lives and caused significant destruction to homes and infrastructure.

In landslides of this magnitude, the lack of survivors or bodies found at the original location of homes can be attributed to the sudden and forceful nature of the event.

Landslides often occur rapidly and with little warning, leading to the swift engulfment of structures and individuals within the affected area. The force and speed of the landslide can make it difficult for people to escape or for search and rescue teams to reach the affected area in time to save

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Let's write the ration as a fraction:

1 cm to 1.5 cm

Ratio : 1/1.5 but we need to write it without decimals,

1/1.5 = 2/3 (multiplying by 2 numerator and denominator)

K, the correct answer is 2/3

Answer:

2x-2y-3z

Step-by-step explanation:

8x+-6x

=8x-6x

=2x

-9y+7y

=-2y

2z+-5z

= 2z-5z

=-3z

2x-2y-3z

8x - 9y + 2z

-6x + 7y - 5z

On adding these two equation :

8x + ( -6x) = 2x

-9y + 7y = -2y

2z + (-5z) = -3z

we will get :

2x - 2y -3z

.

In the addition/subtraction method, the two equations in the system are added or subtracted to create a new equation with only one variable. In order for the new equation to have only one variable, the other variable must cancel out. In other words, we must first perform operations on each equation until one term has an equal and opposite coefficient as the corresponding term in the other equation.

.

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Answer:

I think C.

Step-by-step explanation:

Plug in 21 as x then add to get 180 which is the degree all of the angles in a triangle equal

The margin of error for a 90% confidence interval for the proportion of all employees dissatisfied with their jobs, based on a survey of 200 employees where 44% reported dissatisfaction, is  0.068.

We can use the formula for the margin of error for a proportion:

ME = zsqrt((p_hat(1-p_hat))/n)

where z is the z-score associated with the desired level of confidence (90% in this case), p_hat is the sample proportion (0.44), n is the sample size (200), and sqrt is the square root.

From a standard normal distribution table, the z-score for a 90% confidence level is approximately 1.645.

Plugging in the values, we get:

ME = 1.645sqrt((0.44(1-0.44))/200)

ME ≈ 0.068

So the margin of error for a 90% confidence interval is approximately 0.068 or 0.068/1= 0.068 = 0.068 = 6.8% (rounded to 3 decimal places).

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--The given question is incomplete, the complete question is given

"A human resources consulting firm conducted a survey of 200 employees to determine how dissatisfed they were with their jobs. 44% of the employees said they were dissatisfied, what is the margin of error for a 90% confidence interval for the proportion of all employees that are dissatisfied with their jobs? Answer to 3 decimal places"--

The probability that the sum is 7 given that neither die showed a 6 is 4/25 or 0.16.

To find the probability that the sum is 7 given that neither die showed a 6, we need to consider the possible outcomes of rolling two dice without any 6s, and then identify the outcomes where the sum is 7.

Determine the total number of possible outcomes without rolling a 6.
Since there are 5 possible outcomes for each die (1, 2, 3, 4, and 5), there are 5 x 5 = 25 possible outcomes for rolling two dice without any 6s.

Identify the outcomes where the sum is 7.
The possible outcomes that result in a sum of 7 are: (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), and (6, 1). However, since neither die can show a 6, we can only consider the following four outcomes: (1, 6), (2, 5), (3, 4), and (4, 3).

Calculate the probability.
The probability that the sum is 7 given that neither die showed a 6 is the number of favorable outcomes divided by the total number of possible outcomes:
P(sum is 7 | no 6s) = (number of outcomes with sum 7) / (total number of outcomes without 6s) = 4 / 25

So, the probability that the sum is 7 given that neither die showed a 6 is 4/25 or 0.16.

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When measuring wind speed with a cup anemometer on a sailboat trip across the Atlantic Ocean, there are a few situations that may arise, as shown below:1. When the bearing of the axle is old, the type of error that occurs is systematic error. To reduce or overcome this error, you would need to replace the bearing to avoid it.

2. When there is turbulent flow, the type of error that occurs is random error. To overcome this error, you would have to wait for the wind to stabilize or take an average of many measurements.  3. When there is icing on the cups, the type of error that occurs is also random error.

To overcome this error, you would need to remove the ice or wait for it to melt before continuing the measurement.4. When there is strong tumbling of the sailboat, the type of error that occurs is systematic error. To overcome this error, you would need to find a way to stabilize the boat or take measurements when the boat is less unstable.

It is not well posed to use a cup anemometer to measure in-cabin air flow in a quiet environment because the device is not sensitive enough. The device needs a minimum wind speed to provide accurate readings, and it is not designed to measure low wind speeds. Therefore, it may not be the right tool for the job, and a different instrument may be more appropriate.

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The given expression is a simplified algebraic equation: (1/2) * a^2 - 3b + 2c. It represents a combination of variables a, b, and c with their respective coefficients.

Utilizing symbols and operations, an algebraic equation illustrates the equivalence or inequivalence of two expressions. These generated expressions may hold variables that have varying values.

The premise centered around calculus is to arrive at a solution by acquiring the correct value(s) of these variable(s), ultimately fulfilling the outlined specification in the problem. Algebraic equations can range from uncomplicated linear problems to elaborate polynomials and trigonometric functions.

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The area enclosed by the curve x = t^2 − 3t, y = √t and the y-axis is 2.08 square units.

We have been given parametric equations x = t^2 − 3t, y = √t

We need to find the area enclosed by the curve x = t^2 − 3t, y = √t and the y-axis.

Consider x = 0

So, t^2 − 3t =  0

t(t - 3) = 0

t = 0   or  t = 3

Let f(t) =  t^2 − 3t and g(t) = t

Differentiate the curve f(t) with respect to t.

f'(t) = 2t - 3

NWe know that the formula to find the area under the curve.

A = ∫[a to b] g(t)f'(t) dt

here, a = 0 and b = 3

so, A = ∫[0 to 3] √t (2t - 3) dt

A = ∫[0 to 3] (2t√t - 3√t) dt

A = ∫[0 to 3] (2t^(3/2) - 3t^(1/2)) dt

A = [4/5 t^(5/2) - 2 t^(3/2)]_[t = 0, t = 3]

A = 4/5 3^(5/2) - 2 3^(3/2) - 0 + 0

A = 4/5 3^(5/2) - 2 3^(3/2)

A = 6√3 /5

A = 2.08

Therefore,  the area of the curve is 2.08 square units.

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Answer:

therefore the value of k for which the given quadratic equation will have quale and real root

Step-by-step explanation:

k=52 and k=52

Step-by-step explanation:

3x+7y-12=0

3x+7y=12

3x=12-7y

x=12-7y/3