If numerator is 2 less than the denominator of a rational number and when 1 is subtracted from numerator and denominator both, the resulting new rational number in its simplest form is 1/2 . Find the original rational number.​

a+b= 8+24=32

Ab=8 x 24= 192

B/a= 24:8=3

(a+b)²=(8+24)² =64+576+384= 1024

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Answer:

1 is 32. 2 is 192. 3 is 3. 4 is 1024

Answer: X = 8.5

Step-by-step explanation:

2x = 17

divide by 2

x = 8.5

By solving the value we get the value of x that is equal to 8.5.

\(\to\) 2x=17

\(\to\)  x=\(\frac{17}{2}\)

\(\to\) x=8.5

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To simply ratios, we need to get the common factor of the ratio, and divide the ratio by this common factor.

For a) 33 : 121

33 = 3 x 11

121 = 11 x 11

So the common factor of this ratio is 11

Dividing the ratio by 11 :

The answer is 3 : 11

For b) 30 : 72

30 = 2 x 3 x 5

72 = 2 x 2 x 2 x 3 x 3

So the common factor of this ratio is 2 x 3 = 6

Dividing the ratio by 6 :

The answer is 5 : 12

Answer:

5 degrees

Step-by-step explanation:

Corresponding angles in a transversal are congruent. This can be proved by using the alternate exterior angles theorem, which would make these two angles alternate interior angles. With this, we can form a new equation.

Solve Algebraically

5x+23=7x+13

5x+10=7x

10=7x-5x

10=2x

Answer:

Step-by-step explanation:

"All terms are even because even + even = even" is correct.  All of the given terms are even and the "common difference," 18, is also even.

Answer:

212.5/h

Step-by-step explanation:

subtract the new value from the old value, then divide by the time.

(1530 - 680)/4

850/4

212.5/1h

Answer: Sorry I’m late, look at the picture this is the correct answer!

Step-by-step explanation: Hope this help :D

Answer:

The slope form would be 2/3x-6

Answer:

y=2/3x-6

Step-by-step explanation:

Slope intercept form is y=mx+b. m is your slope or rise/run (rise-over-run). This line rises 2 and runs 3 so your slope is 2/3. b is your y-intercept. This line intercepts y at -6 so b=-6. Therefore your equation is y=2/3x-6. Hope this helped!

To calculate the interval for a high degree of confidence that at least 95% of all UHPC specimens adhered to steel will have work of adhesion values between the limits of the interval, we need to use a confidence interval formula. Assuming a normal distribution, we can use the formula:

1. Obtain the mean (µ) and standard deviation (σ) of the work of adhesion values from the sample data.
2. Determine the desired confidence level (95% in this case), which corresponds to a Z-score of 1.96 (from a standard normal distribution table).
3. Calculate the standard error (SE) by dividing the standard deviation (σ) by the square root of the sample size (n): SE = σ / √n.
4. Calculate the margin of error (ME) by multiplying the Z-score by the standard error: ME = 1.96 * SE.
5. Find the confidence interval by subtracting and adding the margin of error from the mean: (µ - ME, µ + ME).

Round your answers to two decimal places. This interval provides a 95% confidence that the true work of adhesion values for at least 95% of all UHPC specimens adhered to steel lie between these limits.

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Answer:

-5x - 24

Step-by-step explanation:

3(2x − 8) – 11x =

Distribute the 3.

= 6x - 24 - 11x

Combine like terms.

= -5x - 24

The functions f, g and f ◦ g are illustrations of relations and functions

If f and f ◦ g are onto, it does not necessarily follow that g is onto

The onto functions are given as:

Consider the functions f and g.

The function f is an onto function, if for every element of function f, there is at least one matching element  with function g.

The above definition implies that the following definition is not a condition for the two functions to be an onto function

If for every element of function g, there is at least one matching element  with function f.

Hence, it does not necessarily follow that function g is onto

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\(t = \frac{distance}{speed} \)

\(t = \frac{1.25}{10} \)

\( = 0.125\)

\(0.125 hr \times \frac{60min}{1hr} = 7.5min\)

\(7.5min = 7min + 0.5min\)

\(0.5min \times \frac{60s}{1min} = 30s \)

\(combining: 00 : 07 : 30\)

or

0 hours, 7 minutes, 30 seconds

therefore,the answer is 00:07:30

\(✠===============✠\)

Answer:

Let heads represent a person who exercises the given amount, and let tails represent a person who doesn’t. Because there are three people, flip the coin three times (once for each person) and note the results of each set of three flips. If all three flips land on tails, it would mean that all three randomly selected people do not exercise as much as 50% of Americans do.

Step-by-step explanation:

The factor that does NOT control the stability of a slope is the angle of repose for intact bedrock. The angle of repose refers to the steepest angle at which a pile of loose material remains stable without sliding. It is mainly applicable to loose materials like soil and granular substances, not intact bedrock.

Bedrock stability depends on factors such as its strength, fracturing, and geological properties, rather than the angle of repose. Factors that control the stability of a slope include whether the slope is rock or soil. Rock slopes tend to be more stable than soil slopes due to the cohesive nature of intact rock.

The amount of water in the soil also affects slope stability, as excessive water can increase pore pressure and reduce the shear strength of the soil, leading to slope failure. Additionally, the orientation of fractures, cleavage, and bedding in the rock can influence slope stability by creating planes of weakness or strength.

To summarize, while the angle of repose is a significant factor in slope stability, it is not applicable to intact bedrock. The stability of a slope is influenced by the type of material (rock or soil), the presence of water, and the orientation of fractures and bedding.

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Answer:

the answer is 5

Step-by-step explanation:

Answer:

0.27272727272 is the reciproval of 3 2/3

The value of α that would generate the most stable forecast is 0.10.

Exponential smoothing is a forecasting method that uses a weighted average of past observations to predict future values. The weight of each past observation decreases exponentially as it gets older. The value of the smoothing constant, α, determines how quickly the weights decay and thus how much emphasis is placed on recent observations versus past observations. A larger value of α means more weight is given to recent observations, resulting in a forecast that is more responsive to changes in the data but also more volatile. Conversely, a smaller value of α means less weight is given to recent observations, resulting in a forecast that is more stable but less responsive to changes in the data.

Therefore, in order to generate the most stable forecast, we would want to choose a smaller value of α. Among the options given, the value of α that would generate the most stable forecast is 0.10. This would give relatively less weight to recent observations and result in a smoother, less volatile forecast. However, it is important to note that the optimal value of α depends on the specific time series being forecasted and must be chosen based on empirical evaluation of the forecast accuracy.

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Answer:

3 seconds

proofi took the test

The object reaches its maximum height after 3 seconds.

The correct option is 3 seconds.

To find the time at which the object reaches its maximum height, we need to determine the vertex of the parabolic function\(h(t) = -16t^2 + 96t + 6\) . The vertex form of a parabola is given by \(h(t) = a(t - h)^2 + k\), where (h, k) represents the vertex.

In this case, a = -16, so the vertex is given by t = -b/2a. Plugging in the values, we get t = -96/(2 x (-16)) = 96/32 = 3 seconds.

Therefore, the object reaches its maximum height after 3 seconds.

Option B, 3 seconds, is the correct answer.

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The complete Question:

The function \(h(t) = -16t^2 + 96t + 6\) represents an object projected into the air from a cannon. The maximum height reached by the object is 150 feet.

After how many seconds does the object reach its maximum height?

A. 2 seconds

B. 3 seconds

C. 6 seconds

D. 9 seconds

Answer: X= -5

Step-by-step explanation:

Answer:

x=-5

Step-by-step explanation:

-3x+11=26

-3x+(11-11)=26-11

-3x=15

(-3/-3)x=15/-3

x=-5

Answer: $3.32

Step-by-step explanation:

-0.3853 = (x - 3.4) / 0.2

Solving for x, we get:

X = 3.32

Therefore, the price for which only 35% of milk vendors is lower than $3.32.

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Answer: 79

Explanation:

180 - 101 = 79

I hope this helped!

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Answer:

79°

Step-by-step explanation:

180° - 101° = 79°

the probability of transitioning from state 1 to state 2 after the first transition is:

P(X(t) enters state 2 after the first transition | X(0) = 1) = 1 / 3

To write the system of ordinary differential equations (ODEs) for the transition probabilities Pᵢⱼ(t) of the given continuous-time Markov chain, we need to consider the rate at which the system transitions between different states.

Let Pᵢⱼ(t) represent the probability that the Markov chain is in state j at time t, given that it started in state i at time 0.

The ODEs for the transition probabilities can be written as follows:

dP₁₂(t)/dt = q₁₂ * P₁(t) - q₂₁ * P₂(t)

dP₁₃(t)/dt = q₁₃ * P₁(t) - q₃₁ * P₃(t)

dP₂₁(t)/dt = q₂₁ * P₂(t) - q₁₂ * P₁(t)

dP₂₃(t)/dt = q₂₃ * P₂(t) - q₃₂ * P₃(t)

dP₃₁(t)/dt = q₃₁ * P₃(t) - q₁₃ * P₁(t)

dP₃₂(t)/dt = q₃₂ * P₃(t) - q₂₃ * P₂(t)

where P₁(t), P₂(t), and P₃(t) represent the probabilities of being in states 1, 2, and 3 at time t, respectively.

Now, let's consider the second part of the question: Suppose that the initial state is 1. We want to find the probability that after the first transition, the process X(t) enters state 2.

To calculate this probability, we need to find the transition rate from state 1 to state 2 (q₁₂) and normalize it by the total rate of leaving state 1.

The total rate of leaving state 1 can be calculated as the sum of the rates to transition from state 1 to other states:

total_rate = q₁₂ + q₁₃

Therefore, the probability of transitioning from state 1 to state 2 after the first transition can be calculated as:

P(X(t) enters state 2 after the first transition | X(0) = 1) = q₁₂ / total_rate

In this case, the transition rate q₁₂ is 1, and the total rate q₁₂ + q₁₃ is 1 + 2 = 3.

Therefore, the probability of transitioning from state 1 to state 2 after the first transition is:

P(X(t) enters state 2 after the first transition | X(0) = 1) = 1 / 3

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Case 1 - Range: (5, 5 / 2, 5 / 3, 5 / 4, 1, 5 / 6)

Case 2 - The range of the function is 0 ≤ s ≤ 10.

Functions are characterized by three elements:

The elements of the range are determined by evaluating each function:

Case 1 - y = 5 · (1 / x)

x = 1

y = 5 · (1 / 1) = 5

x = 2

y = 5 · (1 / 2) = 5 / 2

x = 3

y = 5 · (1 / 3) = 5 / 3

x = 4

y = 5 · (1 / 4) = 5 / 4

x = 5

y = 5 · (1 / 5) = 1

x = 6

y = 5 · (1 / 6) = 5 / 6

Range: (5, 5 / 2, 5 / 3, 5 / 4, 1, 5 / 6)

Case 2 - s = |x + 4|

x = - 6

s = |- 6 + 4| = |- 2| = 2

x = - 4

s = |- 4 + 4| = |0| = 0

x = 6

s = |6 + 4| = |10| = 10

The range of the function is 0 ≤ s ≤ 10.

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Answer: True

Step-by-step explanation: Because Im A Top G

Answer:

Therefore, the length of the ladder is 13 feet.

Step-by-step explanation:

This is a classic example of a right triangle problem in geometry. The ladder serves as the hypotenuse of the triangle, while the distance from the building to the ladder and the height of the window serve as the other two sides. Using the Pythagorean theorem, we can solve for the length of the ladder:

ladder^2 = distance^2 + height^2 ladder^2 = 5^2 + 12^2 ladder^2 = 169 ladder = √169 ladder = 13

Therefore, the length of the ladder is 13 feet.

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Answer:

Step-by-step explanation:

We'll start with going form exponential to radical, since it may be easier to follow. For example,

\(x^{\frac{4}{3}\) can be written, in radical form, as

\(\sqrt[3]{x^4}\). What happens is that the denominator of the fraction serves as the index (the number that sits in the bend of the radical) and the numerator serves as the power on the variable (or number, if that's the case). Let's look at another one:

\(4^{\frac{2}{3}\) becomes

\(\sqrt[3]{4^2}=\sqrt[3]{16}=\sqrt[3]{8*2}=2\sqrt[3]2}\)

And you can go the other way with it. For example,

\(\sqrt[5]{x^4}\) becomes

\(x^{\frac{4}{5}\), etc. Get it?

Answer:

When you're given a problem in radical form, you may have an easier time if you You can rewrite every radical as an exponent by using the following property — the top ... For example, 643/2 is easier if you write it as (641/2)3 = 83 = 512 rather than (643)1/2,  Rewrite the entire expression using rational exponents.

Answer:

\(y=11*3^x\)

Here is the graph showing this function.

Answer:

\(\sf y = 11(3)^x\)

given points: ( 0, 11) , (2,99)

solve for 1st

\(\sf y = ab^x\)

\(\sf 11 = ab^0\)

since we know \(\sf b^0 = 1\)

\(\sf 11 =a\)

solve for 2nd

\(\sf y = ab^x\)

\(\sf 99 = ab^2\)

\(\sf \dfrac{99}{b^2} = a\)

solve simultaneously:

\(\sf 11 = \sf \dfrac{99}{b^2}\)

\(\sf 11 b^2= \sf 99}\)

\(\sf b^2= 9\)

\(\sf b = 3\)

Therefore equation:  \(\sf y = 11(3)^x\)

The correct answers are His sample was not drawn at random ,he ought to purchase more fat-free donuts, he may look at the data's histogram to see whether it is roughly typical.

Given that, Bjorn is attempting to calculate the difference between the average sugar level of two distinct kinds of donuts: a fat-free kind and a full-fat variety.

He gathers 60 donuts to test in order to do this: There are 22 fat-free donuts and 38 full-fat donuts. The correct answers are A, D and E He did not get a random sample He should get more fat free donuts He could check the histogram of the data to see if it's approximately normal

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\( \orange{\boxed{ \boxed{ \boxed{ \boxed{ \boxed{ \boxed{ \boxed{ \boxed{ \boxed{ \blue{{deenz \red{l}}}}}}}}}}}}}\)

thanks

Answer:

Have you tried word online?

Step-by-step explanation:

Let's first write the vector equation of the two lines r1​ and r2​. r1​(t)=⟨3t+5,−3t−5,2t−2⟩r2​(t)=⟨11−6t,6t−11,2−4t⟩

​The direction vector for r1​ will be (3,-3,2) and the direction vector for r2​ will be (-6,6,-4).If the dot product of two direction vectors is zero, then the lines are orthogonal or perpendicular. But here, the dot product of the direction vectors is -18 which is not equal to 0.

Therefore, the lines are not perpendicular or orthogonal. If the lines are not perpendicular, then we can tell if the lines are distinct parallel lines or skew lines by comparing their direction vectors. Here, we see that the direction vectors are not multiples of each other.So, the lines are skew lines. Choice: The lines are skew.

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