What is 14.764823 rounded to?

For question 3, the unique solution is guaranteed if yo = 3. For question 5, the solution is lnx + In(y-x) = c. For the last question, the solution is y = x - 1 + ce^(-x).

For question 3, the initial value problem y' = √(x²-9), y(x) = yo has a unique solution guaranteed by Theorem 1.1 if yo = 3. The reason is that the square root expression inside the differential equation is only defined when x²-9 is non-negative. Since the square root of a negative number is undefined in the real number system, yo cannot be any value that results in x²-9 being negative. Therefore, yo = 3 is the only valid choice.

For question 5, the given differential equation (x-2y)dx + ydy = 0 can be solved by integrating. By integrating the left-hand side of the equation, we obtain the solution lnx + In(y-x) = c, where c is the constant of integration. This is the correct answer (b).

For the last question, the differential equation y' + y = x can be solved using the method of integrating factors. Multiplying both sides of the equation by e^x, we get e^x * y' + e^x * y = xe^x. The left-hand side can be rewritten as (e^x * y)' = xe^x. Integrating both sides with respect to x, we have e^x * y = ∫xe^xdx = x * e^x - e^x + c. Dividing both sides by e^x, we get y = x - 1 + ce^(-x). Therefore, the correct answer is (b), y = x - 1 + ce^(-x).

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y = 1.5x + 0.5 is the equation of the line passing through the coordinate points

The formula for finding the equation of a line in slope-intercept form is expressed as:

y =mx + b

where:

m is the slope

b is the intercept

Determine the slope

slope = 5-2/3-1

slope = 3/2

slope = 1.5

Determine the y-intercept

y = mx + b

5 = 1.5(3) + b

5 = 4.5 + b

b = 0.5

Hence the required equation of the line passing through ( 1,2) and (3,5) is

y = 1.5x + 0.5

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Complete question

What's the equation of a line that passes through (1,2) (3,5)?

The approximate number of students with Scores between 68 and 83 is 98.Answer: a. 98

The five-number summary for scores on a statistics exam is: 35, 68, 77, 83 and 97. In all, 196 students took this exam About how many students had scores between 68 and 83?

The five-number summary consists of the minimum value, the first quartile, the median, the third quartile, and the maximum value.

The interquartile range is the difference between the third and first quartiles. Interquartile range (IQR) = Q3 – Q1, where Q3 is the third quartile and Q1 is the first quartile. The 5-number summary for scores on a statistics exam is given below:

Minimum value = 35

First quartile Q1 = 68

Median = 77

Third quartile Q3 = 83

Maximum value = 97

The interval 68–83 is the range between Q1 and Q3.

Thus, it is the interquartile range.

The interquartile range is calculated as follows:IQR = Q3 – Q1 = 83 – 68 = 15

The interquartile range of the scores between 68 and 83 is 15. Therefore, the number of students with scores between 68 and 83 is roughly half of the total number of students. 196/2 = 98.

Thus, the approximate number of students with scores between 68 and 83 is 98.Answer: a. 98

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The expected gain made by each policy sold is $1.10. The variance of the probability distribution is $101.29. X represents the random variable denoting the expected returns under death or no death scenarios.


To calculate the expected gain, we multiply the probability of death (.001) by the payout ($10,000) and subtract the annual premium ($290). Thus, the expected gain is (0.001 * $10,000) - $290 = $1.10.

To calculate the variance, we need to calculate the squared difference between the actual gain in each scenario (death or no death) and the expected gain. In the death scenario, the gain is $10,000 - $290 = $9,710, and in the no-death scenario, the gain is -$290 (due to the premium payment). The squared differences are (9,710 – 1.10)^2 = 94,413.69 and (-290 – 1.10)^2 = 7,981.69, respectively.

Finally, we multiply each squared difference by its corresponding probability (0.001 for death, 0.999 for no death) and sum them up to obtain the variance. The variance is (0.001 * 94,413.69) + (0.999 * 7,981.69) = 101.29.

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Answer:

21

Step-by-step explanation:

Since AC = AB + BC

------------------

BC = 3x + 6 = 3*5 + 6 = 21

The physiological responses that occur in response to low blood levels of calcium are bones release calcium into the blood, the kidneys retain more calcium, intestines absorb more calcium

Calcium is a chemical element which plays an important role in building and maintaining strong bones. It also plays other significant roles in blood clotting, muscles contraction, and normal heart rhythms regulation, and nerve functions. Calcium ions are essential in several cellular processes and the body tightly regulates calcium levels within a narrow physiological range as relatively small changes can have dramatic effects, including heart failure, muscle and brain dysfunction, and even death. Blood calcium levels are regulated by parathyroid hormone (PTH), produced by the parathyroid glands. PTH is released in response to low blood calcium levels and improves calcium levels by targeting the skeleton, the kidneys, and the intestine. The physiological responses that occur in response to low blood levels of calcium are bones release calcium into the blood, the kidneys retain more calcium, intestines absorb more calcium

Note: The question is incomplete as it is missing options which are a) liver releases calcium into the blood. b) bones release calcium into the blood. c) kidneys retain more calcium. d) intestines absorb more calcium.

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Commutative property!!!!!

Answer:

i belive so

Step-by-step explanation:

because you know and x is 2 so i say yes

Answer:

go to my account and answer the latest question and say lol u dont

have to answer it tho just put lol for 25 free points.

I'm NOT 100% confident in my answers.

Graph 1:

Range: Option B

Graph 2:

Range: Option A

The range has to start at zero since that's the lowest point we can go, only one with zero is first option.

RATE AS BRAINLIEST

Answer:gamble that,on average,will leave a person with the same amount of money.

Step-by-step explanation:

Answer:  x+(x+1)+(x+2) = 63

This is because x is the smallest number, so x+1 is the next value up, and x+2 is the value after that. The parenthesis are optional. I used them to separate out the three expressions. We can simplify the left side to 3x+3, which means that equation in bold is the same as 3x+3 = 63. So there are few ways we can form the equation.

You have the correct answers for the other boxes:

20+21+22 = 63

Nice work.

20, 21, 22

Step-by-step explanation:

Let x = the smallest integer of the three consecutive ones

(x + 1) = the next consecutive integer after x

(x + 2) = the next consecutive integer after (x + 1)

The sum of these three should add up to 63 so

x + (x + 1) + (x + 2) = 63

This simplifies to

3x + 3 = 63

Solving for x, we get

x = 20

Therefore, the three consecutive integers whose sum add up to 63 are 20, 21 and 22.

Considering the given probability distributions, distribution D is valid.

A probability distribution is valid if:

In this problem, only distribution D has a sum of 1, hence it is the only valid distribution.

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Answer:

Probability distribution D is shown. The probability of 1 is 0.2; 2 is 0.1; 3 is 0.1; 4 is 0.5; 5 is 0.1.

Step-by-step explanation:

The answer above is correct.

Answer: A

Step-by-step explanation:

when you add the 2 and 6 then multiply the answer by 2 then subtract you get A as ur answer

The  required value of the ∠DPE = 40°.

Angles that are vertically opposite to one another at a particular vertex are formed by two straight lines meeting. Angles that are vertically opposed to one another are identical. These are referred to as perpendicular angles at times.

Using vertically opposite angle, ∠GPE = 35° and ∠KPF are equal

Then,

∠GPE = ∠KPF = 35°

Then Sum of all angles on straight line is 180°

∠KPF + ∠FP + ∠DPE = 180°

35° + 105° + ∠DPE = 180°

∠DPE = 180° - 140°

∠DPE = 40°

Thus, required value of the ∠DPE = 40°.

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Answer:

The revenue from selling a pair of running shoes at p dollars per pair is 50,000p - p^2

Step-by-step explanation:

Here in this question, we are interested in writing an equation that represents the revenue from selling a number of shoes.

Mathematically;

Revenue = Number of shoes sold * Price of one shoe

From the question, the number of shoes sold at price P dollars is 50,000 - 40p

The price of a single pair is P dollars

So the revenue in this case will be ; p * (50,000 - 40p)

= (50,000p - 40p^2) dollars

The expression that represents the revenue in dollars is \((50000p-40p^{2} )\)

We have to find an expression  that represents the revenue in dollars

So that,

            Revenue = Number of shoes sold * Price of one shoe

It is given that the number of shoes sold at price P dollars is \((50000 - 40p)\)

and the price of a single pair is P dollars

Thus,  the revenue expression is,

                                \(= p * (50000 - 40p)\\\\=50000p-40p^{2}\)

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Quantitative literacy can be used in a clinical setting to assess the patient's health status, determine the patient's progress, and make informed decisions.

Medical professionals must be competent in quantitative literacy to ensure that patients receive the best possible care. To ensure that patients receive the best possible care, quantitative literacy must be used. Quantitative literacy is critical in a clinical setting because of its ability to provide accurate information, facilitate decision-making, and improve patient outcomes.Quantitative literacy may be used in a clinical setting in a variety of ways. Some examples of how quantitative literacy may be used in a clinical setting include:Calculating dosages: When calculating dosages, quantitative literacy is critical to ensuring that the correct amount of medication is given to the patient. This is particularly important for medications that have a narrow therapeutic window, such as insulin or digoxin.Converting temperatures: Quantitative literacy is essential when converting temperatures from Celsius to Fahrenheit or vice versa. This is important when monitoring patient's body temperature for signs of fever or hypothermia.Calculating infusion rates: When administering intravenous fluids, quantitative literacy is essential to ensure that the correct infusion rate is used. This is important because fluids that are infused too quickly can cause fluid overload, while fluids that are infused too slowly may not provide adequate hydration

.Math Problem:

Convert 50°C to Fahrenheit

To convert Celsius to Fahrenheit, you use the following formula:

F = (C x 1.8) + 32

Substitute 50 for C in the formula:

F = (50 x 1.8) + 32F = 90 + 32F = 122°F

Therefore, 50°C is equal to 122°F.

In conclusion, quantitative literacy is critical to ensure that patients receive the best possible care. In the medical field, nurses, doctors, and other healthcare professionals must have excellent quantitative skills to interpret and use numerical data. They must understand how to calculate medication dosages, infusion rates, and vital signs accurately. They must also be able to interpret lab results, which are typically presented numerically. Without quantitative literacy, healthcare professionals would not be able to provide adequate care to their patients.

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Answer:

Step-by-step explanation:

Answer:

17.5

Step-by-step explanation:

let 'x' = each congruent side

let '2x - 7' = side of base

x + 2x - 7 = 63

3x = 70

x = 17.5

17

Step-by-step explanation:

16×3=48

48-(11+20) =17

The correct option D.

Rotation and translation transformation(s) could map one triangle to the other.

Triangle A is mapped to triangle B by reflecting it across the x-axis and rotating it 90 degrees counterclockwise with respect to the origin. Triangle A to triangle B will be mapped using the following set of transformations, which also highlights how similar the two figures are.

When registering a digital map, satellite image, or air photo onto a projected coordinate system, geometric transformation is the process of applying a set of control points and transformation equations. Map-to-map transformation and image-to-map transformation are examples of geometric transformation in geographic information systems (GIS).

Mathematically speaking, a transformation is a mapping from a preimage of a shape or function to an image of the same shape or function. Translation, rotation, and reflection are the three main categories of transformations.

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I understand that the question you are looking for is:

Which transformation(s) could map one triangle to the

other?

O reflection

O translation

O reflection and translation

O rotation and translation

Answer: D ) Rotation and traslation.

Step-by-step explanation:

yo, got it right

The domain of the function is defined as 0 ≤  x ≤ 4.

option A is the correct answer.

A domain of a function refers to "all the values" that can go into a function without resulting in undefined values.

So the domain of a function is the set of x values, while the range of a function is the set of y values.

From the given statement, the range of the function is defined as;

y = vt

where;

y = 60 mph x 4 hr

y = 240 miles

From the given statement, the domain of the function is defined as;

0 ≤  x ≤ 4

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Step-by-step explanation:

6¹⁰/6⁴ = 6⁶

(basically you subtract 4 from 10 so you have 6)

The other zero can therefore be either rational or irrational, which is the proper response.

Assume that there are two separate zeroes in the quadratic equation f(x) = ax2 + bx + c, one of which is irrational.

The zeroes of the equation are determined by the quadratic formula as follows:

x=(-b (b2 - 4ac)) / 2a

Let's say that one of the zeroes, which is irrational, has the form p + q, where p and q are rational numbers and q is not a perfect square. Due to the fact that the equation's coefficients are all integers, the other zero must take the form p - q.

Now that we have the sum and product of roots formulas, we can determine that:

Sum of the roots equals (-b) / a, which equals (p + q) + (p - q) = 2p.

Roots' product = c/a = (p + q)(p - q) = p2 - q

The other root must be 2p - (p + q) = p - q because the sum of the roots is 2p and one of the roots is p + q. Given that it has the form p - q, this implies that the other root is equally irrational.

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There are total three pairs

Look at the co-ordinates

The x co-ordinates increase with respect to y co-ordinates

Answer:

(-6,-3)->(3,7)

(-5,-5)->(5,9)

(-3,-3)->(6,7)

Step-by-step explanation:

Answer:

1/805

Step-by-step explanation:

4/3220 = 1/805 = 0.00124223....

The probability of not selecting a green marble is equal to the total number of non-green marbles in the bag divided by the total number of marbles in the bag.

To calculate the probability: there are three green marbles out of a total of twenty-five marbles, so the probability of selecting a green marble is 3/25.

The likelihood of not selecting a green marble is then 1 - 3/25 = 22/25.

This is equal to 22/25 * 100 = 88% as a percentage.

As a result, P(not green) = 88%

Probability denotes the possibility of something happening. It is a mathematical branch that deals with the onset of a random event. The value ranges from zero to one. Probability has been tried to introduce in mathematics to predict the probability of events occurring. Probability is defined as the degree to which something is likely to occur. This is the fundamental probability theory, which is also used in probability distribution, in which you will learn about the possible outcomes of a random experiment.

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