find a number which is when added to its square the sum will be 72​

It will take 12 seconds until Hudson and Knox have run the same number of feet.

Let's denote the time it takes until Hudson and Knox have run the same number of feet as "t" (in seconds).

The distance Hudson runs can be calculated by multiplying his speed (8.8 feet/second) by the time "t". Thus, the distance Hudson covers is 8.8t feet.

Knox, on the other hand, had a head start of 30 feet. So the distance Knox covers can be calculated by multiplying his speed (6.3 feet/second) by the time "t" and adding the head start of 30 feet. Thus, the distance Knox covers is 6.3t + 30 feet.

To find the time when both runners have covered the same distance, we set their distances equal to each other:

8.8t = 6.3t + 30

Simplifying the equation:

2.5t = 30

Dividing both sides by 2.5:

t = 30 / 2.5

t = 12

Therefore, it will take 12 seconds until Hudson and Knox have run the same number of feet.

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Answer:

Step-by-step explanation:

gradient = y2-y1/x2-x1

-6-0/4-12

-6/-8

=3/4

The total value of Claude's liabilities is $24,950.(option a).

In Claude's balance sheet, the liabilities are shown separately from the assets. The liabilities are the debts or obligations that Claude owes to others. To find the total value of Claude's liabilities, we need to add up all the amounts listed under liabilities.

However, before we do that, let's quickly review what assets are. Assets are things that have value and can be owned or controlled by a person or a company.

Next, we can eliminate the two larger options, $50,370 and $25,420, because they are higher than Claude's total assets, which are not given in the question. If the liabilities were greater than the assets, this would mean that Claude owes more than he owns, which would not be a good financial situation.

This leaves us with the remaining option, $24,950. This is the total value of Claude's liabilities based on the information given in the question.

Hence the option (a) is correct.

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Answer:

6b-8=58

b=11

Step-by-step explanation:

The value of the probability of choosing a green lollipop and a purple lollipop is, 8 / 45

We have to given that;

One bag contains 3 red lollipops and 2 green lollipops.

And, The other bag contains four purple lollipops and five blue lollipops.

Hence, The probability of choosing a green lollipop is,

P₁ = 2 / 5

And, The probability of choosing a purple lollipop is,

P₂ = 4 / 9

Thus, The value of the probability of choosing a green lollipop and a purple lollipop is,

P = P₁ ×  P₂

P = 2/5 × 4/9

P = 8/45

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To keep up with the inflation, Mario would have to earn $91,175.98 in 2014. To get the answer, follow these steps:Let's first find the inflation rate between 2011 and 2014.

Using the CPI formula, we get the inflation rate as follows:Inflation rate = [(CPI in 2014 - CPI in 2011)/CPI in 2011] x 100Inflation rate = [(125.2 - 119.9)/119.9] x 100Inflation rate = (5.3/119.9) x 100Inflation rate = 4.42%Since Mario needs to keep up with the inflation, he should earn an amount that is increased by 4.42%. Therefore, we need to calculate what amount Mario should have earned in 2014 to keep up with the inflation:Amount in 2014 = Amount in 2011 x (1 + Inflation rate)Amount in 2014 = $88,000 x (1 + 0.0442)Amount in 2014 = $88,000 x 1.0442Amount in 2014 = $91,175.98 (rounded to the nearest cent)Therefore, Mario would have to earn $91,175.98 in 2014 just to keep up with inflation.

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Mario earned $88,000 in 2011. If the Consumer Price Index in 2011 was 119.9 and in 2014 it was 125.2, what did Mario have to earn in 2014 just to keep up with inflation?To calculate the inflation rate from 2011 to 2014, we will use the following formula:Inflation rate = ((CPI in 2014 - CPI in 2011) / CPI in 2011)) * 100Substituting the values, we get,

Inflation rate = ((125.2 - 119.9) / 119.9) * 100 = 4.43%Therefore, to maintain the same purchasing power, Mario needs to earn 4.43% more in 2014 than he earned in 2011.Using the following formula, we will calculate how much Mario has to earn in 2014.

Earnings in 2014 = Earnings in 2011 + (Inflation rate × Earnings in 2011)Earnings in 2014 = $88,000 + (4.43% × $88,000)Earnings in 2014 = $91,846.40Therefore, Mario would have to earn $91,846.40 in 2014 just to keep up with inflation.Answer: $91,846.40

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Hello!

As this exercise informs the approximate heights, you can consider just this value (don't need to write two heights in this case).

To make this chart, I used the heigths:

• Mercedario: 6770m

• Misti, Volcán: 5820m

• Pular: 6230m

• Sajama: 6520m

• Talima: 5220m

Look at the chart below:

Answer:

end -8 and move -3 . start at -8 and move -3

if you could show us the picture then maybe i can help you

Answer:

a) no roots not in LHP

b) 2 roots not in LHP

c) 2 roots not in the LHP

d) 2 roots not in the LHP

e) 2 roots not in LHP

Step-by-step explanation:

The calculated surface area of the cone is about 2831.71 square inches

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

The surface area of a cone is calculated using the following formula

SA = πr² + πrl

Substitute the known values in the above equation, so, we have the following representation

SA = 22/7 * 17² +22/7 * 17 36

Evaluate the exponent

SA = 2831.71

Hence, the surface area of the cone is about 2831.71 square inches

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Complete question

what is the surface area of the cone? use 22/7 for pi if it has 9 inches radius and 36 inches slant height

Answer:

Frequency

Step-by-step explanation:

Hope this helps.

Scenario 1A:

Coinsurance amount is $90

Medicare payment is $360

Provider write-off is $290

Scenario 1B:

Remaining amount for Insurance and patient to pay is $350

Coinsurance amount is $70

Total paid by patient is $170

Medicare payment is $280

Provider write-off is $370

Scenario 1A:

Submitted charge: $650

Medicare participating physician fee schedule (PFS): $450

Coinsurance amount (20% paid by patient): $

Medicare payment (80% of the PFS): $

Provider write-off: $

To calculate the missing amounts, we can use the provided information:

Coinsurance amount (20% paid by patient):

Coinsurance amount = 20% of the Medicare participating physician fee schedule (PFS)

Coinsurance amount = 0.2 * $450 = $90

Medicare payment (80% of the PFS):

Medicare payment = 80% of the Medicare participating physician fee schedule (PFS)

Medicare payment = 0.8 * $450 = $360

Provider write-off:

Provider write-off = Submitted charge - Medicare payment

Provider write-off = $650 - $360 = $290

Scenario 1B:

Submitted charge: $650

Medicare participating physician fee schedule (PFS): $450

Patient pays $100 remaining on their deductible

Remaining amount for Insurance and patient to pay: $

Coinsurance amount (20% of remaining amount): $

Total paid by patient (deductible & 20% of remaining): $

Medicare payment (80% of the remaining amount): $

Provider write-off: $

To calculate the missing amounts, we can use the provided information:

Remaining amount for Insurance and patient to pay:

Remaining amount for Insurance and patient to pay = PFS - remaining deductible

Remaining amount for Insurance and patient to pay = $450 - $100 = $350

Coinsurance amount (20% of remaining amount):

Coinsurance amount = 20% of the remaining amount

Coinsurance amount = 0.2 * $350 = $70

Total paid by patient (deductible & 20% of remaining):

Total paid by patient = remaining deductible + coinsurance amount

Total paid by patient = $100 + $70 = $170

Medicare payment (80% of the remaining amount):

Medicare payment = 80% of the remaining amount

Medicare payment = 0.8 * $350 = $280

Provider write-off:

Provider write-off = Submitted charge - Medicare payment

Provider write-off = $650 - $280 = $370

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Answer:

-12

Step-by-step explanation:

(-5)-(7) can easily be called -5-7 when all the brackets are taken away

-5-7= -12

Answer:

You can use the additive inverse to solve for x

Step-by-step explanation:

The additive inverse acquits you to change two things: the negative sign and -7

Therefore, after implementing the additive inverse, here's your expression: -5 + -7. Remeber, the rule for adding negative rational numbers: the sum of 2 negative numbers will be negative. Therefore, simply add 7 + 5 to get 12. Remebering out rule of adding negative rational numbers, you should receive -12 as your answer.

Answer:

yes

Step-by-step explanation:

2/4 and 2/3 has a LCM of 12

Answer:

Step-by-step explanation:

The LCM of 2/4 and 2/3 is 2. This is because 2/4 goes into 1, 3/2, and 4/2=2. 2/3 goes into 4/3, 6/3=2.

The expression for Kanika's mother's age, given Kanika's age and her father's is 32 + x .

To find Kanika's mother's age, we need to first find Kanika's age in relation to her father's who is 35 years more than her age.

Her father's age is therefore:

= Kanika's age + 35

= x + 35

Kanika's mother is 3 years less than the father which makes it :

= x + 35 - 3

= x + 32

In conclusion, Kanika's mother's age when expressed in terms of Kanika's age, is x + 32 .

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The first part of the question is:

Let Kanika's present age be x years. Her father's age exceeds her age by 35 years

Answer:

B

Step-by-step explanation:

If we change x by -0.7, we can expect the value of f(x) to decrease by approximately 2.1 units.

Assuming you meant to say "let f be a differentiable function where f(9) = 4 and f'(9) = 3. If we change x by -0.7 and we change y by 0.3, then we can expect the value of f(x) to change by approximately what amount?"

Using the linear approximation formula, we have:

\(Δf(x) ≈ f'(9) Δx\)

where Δx = -0.7 and we want to find Δf(x) when Δy = 0.3.

We can rearrange the formula to solve for Δf(x):

\(Δf(x) ≈ f'(9) Δx\)

Δf(x) ≈ 3(-0.7)

Δf(x) ≈ -2.1

This means that if we change x by -0.7, we can expect the value of f(x) to decrease by approximately 2.1 units. However, this is only an approximation based on the linear behavior of the function near x = 9, so it may not be exactly accurate for large changes in x.

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Answer: y(0.5+7)

= 0.5y+7y

7.5y

Step-by-step explanation:

So:

Then, the points are (3,1) and (0,4)

The average travel time is simply the mean travel time between the given points

(a) The average time to travel the first 0.25m

The time travel in the first 0.25m are: 2.24s, 2.21s and 2.23s.

So, the average time to travel is:

\(Time = \frac{2.24s + 2.21s + 2.23s}{3}\)

\(Time = \frac{6.68s}{3}\)

\(Time = 2.23s\)

(b) The average time to travel just between 0.25m and 0.50m

The time travel in the 0.50m are: 3.16s, 3.08s and 3.15s.

So, the average time to travel this distance is:

\(Time = \frac{3.16s + 3.08s + 3.15s}{3}\)

\(Time = \frac{9.39s}{3}\)

\(Time = 3.13s\)

The average time to travel between both distance is the difference between the average time of each distance.

So, we have:

\(Average = 3.13s - 2.23s\)

\(Average = 0.9s\)

(c) The velocity in the second 0.25m section

The distance and time are:

\(Distance = 0.25m\)

\(Time = 0.9s\)

So, the velocity is:

\(Velocity = \frac{Distance}{Time}\)

This gives

\(Velocity = \frac{0.25m}{0.9s}\)

\(Velocity = 0.28m/s\)

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Performing a change of scale we will see that the actual distance is 4 miles.

We know that the scale is:

3/4 inch = 2 miles.

And the distance that Nicole found on the map is (1 + 1/2) inches.

We can rewrrite the scale as:

1 inch = (4/3)*2 miles

1 inch = (8/3) miles.

Then the actual distance will be:

distance = (1 + 1/2) inches = (1 + 1/2)*(8/3) miles = 4 miles.

The correct option is A.

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(a) We have \(fx(x) = e^(-ix)\), -∞ < x < ∞. Let Y =\(|X|^3\). Then for \(y > 0\). The final answer of (a) fy integrates to 1 in this case and  (b) is  2

\(Fy(y) = P(Y ≤ y) = P(|X|^3 ≤ y) = P(-y^(1/3) ≤ X ≤ y^(1/3))\)

\(= Fx(y^(1/3)) - Fx(-y^(1/3))\)

\(= (1/e^(iy^(1/3))) - (1/e^(i(-y)^(1/3)))\)

\(= 2cos(y^(1/3))\)

Taking the derivative with respect to y, we get:\(fy(y) = (2/3)y^(-2/3)sin(y^(1/3)), y > 0\)

To show that fy integrates to 1, we integrate over the positive range of y:

\(∫(0 to ∞) (2/3)y^(-2/3)sin(y^(1/3)) dy\)

Making the substitution \(u = y^(1/3)\), \(du/dy = 1/(3y^(2/3)),\) we get:

\(= (2/3)∫(0 to ∞) sin(u) du/u\)

\(= (2/3)π\)

(b) We have fx(x) = \((x+1)^(-2), -1 < x < 1. Let Y = 1 - X^2\). Then for y > 0, we have:

\(Fy(y) = P(Y ≤ y) = P(1 - X^2 ≤ y) = P(X ≤ sqrt(1-y)) - P(X ≤ -sqrt(1-y))\)

\(= Fx(sqrt(1-y)) - Fx(-sqrt(1-y))\)

\(= (1/(1-sqrt(1-y)))^2 - (1/(1+sqrt(1-y)))^2\)

\(= 4/(1-y)^2\)

Taking the derivative with respect to y, we get:\(fy(y) = (8/(1-y)^3), 0 < y < 1\)

To show that fy integrates to 1, we integrate over the positive range of y:

\(∫(0 to 1) (8/(1-y)^3) dy\)

Making the substitution u = 1-y, \(du/dy = -1\), we get:

=\(∫(1 to 0) (8/u^3) (-du)\)

= \(∫(0 to 1) (8/u^3) du\)

= \(2\)

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Optimal path and trajectory planning for serial robots involves finding the most efficient and effective way for a robot to move from one position to another. This is important in tasks such as industrial automation, where time and energy efficiency are crucial.

Inverse kinematics is a mathematical technique used to determine the joint angles required to achieve a desired end effector position and orientation. It is particularly useful for redundant robots, which have more degrees of freedom than necessary to perform a task. Inverse kinematics allows for optimizing the robot's motion to avoid obstacles, minimize joint torques, or maximize performance metrics.

Fast solutions of parametric problems involve efficiently solving optimization or control problems with varying parameters. This is often necessary in real-time applications where the robot's environment or task requirements may change.

In summary, optimal path and trajectory planning for serial robots involves using inverse kinematics to determine joint angles, especially for redundant robots. Fast solutions of parametric problems enable real-time adaptation to changing conditions. These techniques improve the efficiency and effectiveness of robotic systems.

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Answer:

117N - 42

Step-by-step explanation:

WHYD I THINK YOU WERE TALKING ABOUT COORDINATES AT FIRST

Answer: 117n - 42

Step-by-step explanation:

85n - 15 + 32n - 27

85n + 32n - 15 - 27

117n - 15 - 27

117n - 42

We know that

• The mean is 0.

• The standard deviation is 1.00.

The cutoff value at +2.7% is found by adding the standard deviation three times to the mean.

The cutoff value at -2.7% is found by subtracting the standard deviation three times with the mean.

Answer:

hypotenuse = 14.8

Step-by-step explanation:

Pythagorean Theorem: \(a^2 + b^2 = c^2\)

\(3.2^2 + 14.4^2 = c^2\\10.24 + 207.36 = c^2\\\sqrt{217.6} = c\\c = 14.751...\\c = 14.8\)

The independent variable of interest in an ANOVA procedure is called a factor. Hence (d).

The independent variable of interest in an ANOVA procedure is referred to as the factor. The factor represents the different categories or levels being compared to assess their impact on a dependent variable. It is the variable that is manipulated or controlled by the researcher to determine its effect on the outcome. In the context of ANOVA, the factor is typically a categorical variable that divides the data into distinct groups or treatments. These groups are compared to evaluate if there are statistically significant differences in the means of the dependent variable across the different levels of the factor. Therefore, the correct answer is factor(d).

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Given differential equation is 2ex y" - y = ex + e-x ------(1)

For finding the solution of (1), we can use the method of undetermined coefficients.For the nonhomogeneous term in (1), we have ex + e-x.

Therefore, let's assume that the particular solution of (1) has the form yp = Aex + B e-x.

Here, A and B are the constants that need to be determined.

To find the constants A and B, let's substitute yp in (1) and solve for A and B.

2ex y" - y = ex + e-x2ex (-Aex - B e-x) - (Aex + B e-x)

= ex + e-x(-2A) + 2Aex - (2B)e-x - Aex - B e-x

= ex + e-x

Simplifying the above equation,-A = 1, A = -1B = 0

Therefore, the particular solution of (1) is given by

yp = -ex

The general solution of the differential equation is given by

y = yc + yp -------------(2)

where yc is the complementary function and yp is the particular solution obtained by us in the above step.

Now let's find the complementary function for (1).For the complementary function of (1), we need to solve the homogeneous differential equation obtained by setting the right-hand side of (1) equal to zero, which is

2ex y" - y = 0

Let's assume the solution of the above differential equation as

y = e^(rx).

Now substitute this y in the differential equation

2ex y" - y = 02ex [(r^2)e^(rx)] - e^(rx)

= 0r^2 - 1

= 0r

= ±1

The complementary function

yc of (1) is given by

yc = c1e^x + c2e^-x

Now, substituting the particular solution yp and complementary function yc in (2), we get the general solution of (1) as

y = c1e^x + c2e^-x - ex

Hence the general solution of the given differential equation is

y = c1e^x + c2e^-x - ex + c3 + c4 tan^⁻1 e^x + c5 tan^⁻1 e^-x.

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