PLS HELP ASAP I DONT HAVE TIME FOR THIS, IT ALSO DETECTS IF ITS RIGHT IR WRONG

The equation of the curve that passes through the point (0, 1) and whose slope at (x, y) is 5xy is \(e^{\frac{5x^2}{2} }\) .

The slope of the curve is 5xy.

Therefore:

dy/dx =  5xy

dy/y = (5x)dx

Then,

The integrate both sides giving us

ln(y) = (15x²)/2 + C

Since, the curve passes through (0,1) .

Therefore, x=0 and y=1 for solving 2

ln(1) = 0/2 + C

0 = 0 + C

⇒ C = 0

We now,

substitute C back in and isolate y

ln(y) = (15x²)/2

⇒ y = e(15x²) / 2

Therefore, The answer is y = \(e^{\frac{5x^2}{2} }\)

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Answer:

the correct answer is c

Step-by-step explanation:

I just know

The derivatives of the given functions with respect to x are as follows:

i) For y = \(ln(x^4 + 3x^2 + 6)\), the derivative is dy/dx = \((4x^3 + 6x)/(x^4 + 3x^2 + 6)\).

This is obtained using the chain rule and the derivative of ln(u) = (1/u)(du/dx).

ii) For y =\(2x - 12x^2 - x +\)4, the derivative is dy/dx = 2 - 24x - 1. This is obtained by taking the derivative of each term separately, as the derivative of a constant is zero and the derivative of \(x^n is nx^(n-1)\).

iii) For y = \(4(x^2 - 4x + 6)^3\), the derivative is dy/dx = 1\(2(x^2 - 4x + 6)^2(2x - 4)\). This is obtained using the chain rule and the power rule, where the derivative of \((u^n) = n(u^{n-1})(du/dx)\).

In summary, the derivative of \(ln(x^4 + 3x^2 + 6)\) with respect to x is \((4x^3 + 6x)/(x^4 + 3x^2 + 6)\). The derivative of \(2x - 12x^2 - x + 4\) with respect to x is 2 - 24x - 1. The derivative of\(4(x^2 - 4x + 6)^3\) with respect to x is \(12(x^2 - 4x + 6)^2(2x - 4)\).

i) The derivative of \(ln(x^4 + 3x^2 + 6\)) is obtained by applying the chain rule. The derivative of ln(u) is (1/u)(du/dx), where \(u = x^4 + 3x^2 + 6\). By finding the derivative of u with respect to x and substituting it into the chain rule formula, we get\((4x^3 + 6x)/(x^4 + 3x^2 + 6)\).

ii) The derivative of \(2x - 12x^2 - x + 4\) is obtained by taking the derivative of each term separately. The derivative of 2x is 2, the derivative of \(-12x^2 is -24x\) (using the power rule), and the derivative of -x is -1. The derivative of a constant term is zero. Combining these derivatives, we get dy/dx = 2 - 24x - 1.

iii) The derivative of \(4(x^2 - 4x + 6)^3\) is obtained using the chain rule and the power rule. We first apply the power rule by multiplying the exponent (3) by the expression inside the parentheses, resulting in \((x^2 - 4x + 6)^2\). Then, using the chain rule, we multiply by the derivative of the expression inside the parentheses, which is 2x - 4. Combining these results, we get dy/dx = \(12(x^2 - 4x + 6)^2(2x - 4).\)

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Answer: 20cm

Step-by-step explanation:

The perimeter of a rectangle can be calculated as 2(l+w)

2(6+4)

2(10)

20

Hope it helps, and if you want more info on perimeter, just ask <3

Answer:

20 cm

Step-by-step explanation:

Use folmula P=2(l+w)

Step-by-step explanation:

Area=(a+b)/2 x h

a=6x+3

b=4x-5

h=-5x+10

Area= -25x^2+55x-10

Answer: Between E and G

Step-by-step explanation:

Answer:

It is 1 cent cheaper  to pay 5.46 for 7 apples.

Step-by-step explanation:

Find the unit rate:

5.46 /7 = 0.78

This is the cost for 1 apple

3.95/5 = 0.79

This is the cost for 1 apple

Answer:

5 apples for 3.95 is the better deal

Step-by-step explanation:

If you divide 7 by 5.46 you should get roughly 1.28, so $1.28 per apple

and if you divide 5 by 3.95 you should get roughly 1.26, meaning $1.26 per apple. You can verify this by multiplying 1.26 by 5 and 1.28 by 7

Dahila's Child and Dependent Care Credit in 2022 would be $6,000.

The Kid and Ward Care Credit is a tax cut that can assist with balancing the expenses of really focusing on qualified youngsters and wards. How much the not entirely set in stone by the person's changed gross pay (AGI) and the sum they spend on care? In the event that the AGI is underneath $125,000, the individual can get a credit equivalent to half of their childcare costs.

In 2022, Dahila brought about $12,000 in kid care expenses and has an AGI underneath $125,000, so her Kid and Ward Care Acknowledge would be determined as follows:

$12,000 x 50% = $6,000

Therefore, Dahila's Child and Dependent Care Credit in 2022 would be $6,000.

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Answer:

48 cm

Step-by-step explanation:

Here, we are concerned with finding the perimeter of the rectangle.

Now, since the square has an area of 9 cm^2, it means that the squares has a side of 3 cm each since the area of a square is s^2

So now, there are 5 squares in a row, meaning in a straight stretch , left to right or right to left, there are 15 squares. So the total length here is 5 * 3 = 15 cm

Now, moving column-wise, from top to bottom, since we have 3 rows, what this means is that per column of the rows, there are 3 squares. So the total length here becomes 3 * 3 = 9 cm

So we have a rectangle 9cm by 15cm

The perimeter is thus 2(L + B) = 2(15 + 9) = 2(24) = 48 cm

Answer:

3 (negative 64 divided by 8) + 25 = 1

Step-by-step explanation:

Negative 4 + (negative 5) (negative 6) divided by (negative 3) = -4 + (-5)(-6)/(-3) = -4 + 30/-3 = -4 - 10 = -14

8 Left-bracket 10 divided by (2) (negative 2) Right-bracket = 8(10/((2)(-2)) = -20

3 (negative 64 divided by 8) + 25 = 3(-64/8) + 25 = 3(-8) + 25 = -24 + 25 = 1

Negative 2 (negative 5) (negative 3) divided by 10 = (-2)(-5)(-3)/10 = -3

The only positive value here is 1, which is a result of 3 (negative 64 divided by 8) + 25

Answer:

C

Step-by-step explanation:

i took the test

For any data set P 50 = Q2 = D5 - This statement is correct. P50 represents the 50th percentile of the data set, Q2 represents the second quartile, and D5 represents the 5th decile. All of these values are the same, and they all represent the median of the data set.

The correct answer is B. Only (ii) For any data set P 50 = Q2 = D5 .

(i) For any data set D5 is same as mean - This statement is incorrect. D5 represents the 5th decile of the data set, while the mean is the average of all the data points. These two values are not always the same.

(iii) For any data set z-score must be always positive - This statement is incorrect. The z-score can be positive, negative, or zero, depending on the value of the data point relative to the mean of the data set.

Therefore, the correct answer is B. Only (ii).

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Answer:

black

black

Step-by-step explanation:

Answer:

The mass of 3.5 moles of Ca (Sodium)  is 140 g to two significant figures.

Dale and his dog walk for 5 miles.

What is distance?

Distance is a measurement of how far apart two objects or points are, either numerically or occasionally qualitatively. Distance can refer to a physical length in physics or to an estimate based on other factors in common usage.

Given:

Dale and his dog walked for 1.25 hours at a speed of 4 miles per hour.

Since,

Distance = Speed x time

Here, speed = 4 miles per hour and

time is 1.25 hours

So,

Distance = 4 x 1.25

Distance = 5 miles

Hence, Dale and his dog walk for 5 miles.

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A 5th degree polynomial have five complex roots. This means that the polynomial can be written as the product of five linear or quadratic polynomials.

The general formula to calculate the roots of a 5th degree polynomial is:

\(x^5 + ax^4 + bx^3 + cx^2 + dx + e = 0\)

The roots of the polynomial can be found by solving the following equation:

\(x^4 + (a - x)x^3 + (b - a x + x^2)x^2 + (c - bx + ax^2 - x^3)x + (d - cx + bx^2 - ax^3 + x^4) = 0\)

To calculate the roots of the polynomial, we need to solve the quartic equation, which can be done by using the quadratic formula. Then, we can use the solutions of the quartic equation to find the roots of the 5th degree polynomial.

For example, if we have the polynomial x^5 + 2x^4 + 3x^3 + 4x^2 + 5x + 6 = 0, then the roots can be calculated as follows:

x1 = -1.7177

x2 = -0.3181

x3 = 0.5813

x4 = 1.2520

x5 = 2.1771

These are the five complex roots of the polynomial.

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Answer:

Coordinates for Q' Option (A) : (-5, 2)

Answer:

ioujyghfdgtrssssfhyjukh

Step-by-step explanation:

6/12 and 4/8 are equal fractions, as, when simplified, they share a simplified fraction.

Note that what you do to the denominator, you do to the numerator. Find common denominators for both fractions:

(4/8)/(2/2) = 2/4

(6/12)/(3/3) = 2/4

As you can tell, when they share a common denominator (4), the numerators are the same as well (3).

~

First, we need a few things.

The first term = 26

The common difference = 22 - 26 = -4

26 - 4(n - 1) is our equation.

Let's plug 50 into n to find a50

a50 = 26 - 4(50 - 1)

a50 = 26 - 4(49)

a50 = 26 - 196

a50 = -170

The reasonable domain for this function is 0 < x < 50

The domain of a function is defined as the set of all the possible input values that are valid for the given function.

The range of a function is defined as the set of all the possible output values that are valid for the given function.

Given;

A = 50W - W2

The area of a rectangle cannot be negative;

The practical domain of A is determined when;

50W-W^2>0

Taking common factor W

W(50-W)>0

Since W must be positive W>0

50-W>0

Or equivalently

50>w

W<50

The total interval is

0<W<50

Therefore, the domain of the function will be 0 < x < 50

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it is important to consider the potential for intra-cluster similarity, as individuals within the same cluster may be more similar to each other than to individuals in other clusters.

A cluster sample is a sampling technique where the population is divided into clusters or groups, and a subset of clusters is selected at random to form the overall sample. In this type of sampling, all members of the selected clusters are included in the sample.

In the given example, the airline company selects 555 flights as clusters and surveys every passenger on those flights. Each flight represents a cluster, and by selecting random flights, the company includes every passenger on those selected flights in the survey.

This cluster sampling approach is suitable when each group or cluster is representative of the overall population. It is useful when it is impractical or costly to sample every individual unit within the population, but the selected clusters are expected to reflect the characteristics of the entire population.

Cluster sampling allows for more practical data collection, particularly when dealing with large populations or geographically dispersed units. However, it is important to consider the potential for intra-cluster similarity, as individuals within the same cluster may be more similar to each other than to individuals in other clusters.

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Answer:

AB=10

AB=7.2

Step-by-step explanation:

AB= √{(9-1)²+(8-2)²} = √{8²+6²}=√{64+36}=√100 =10

AB= √{(6-2)²+(2-8)²} = √{4²+(-6)²}=√{16+36}=√52 =7.2

The distance between points A(1, 2) and B(9,8) is 10 and the distance between points A(2, 6) and B(8, 2) is 7.2.

A coordinate plane is a plane in which a set of two number lines are represented, horizontal line is called x-axis and vertical line is called y-axis.

In the first coordinate plane,

The coordinate of point A is (1, 2) and coordinate of point B is (9,8),

To find distance, use distance formula between two points (x₁, y₁) and (x₂, y₂) is \(\sqrt{(x_2 - x_1)^2+ (y_2 -y_1)^2)}\)

Thd distance between A(1, 2) and B(9,8),

AB= \(\sqrt{{(9-1)^2+(8-2)^2}}\) = \(\sqrt{{8^2+6^2}}\)=\(\sqrt{{64+36}}\)=\(\sqrt{100}\) =10

In the second coordinate plane,

The coordinate of point A is (2, 6) and coordinate of point B is (8, 2),

To find distance, use distance formula between two points (x₁, y₁) and (x₂, y₂) is \(\sqrt{(x_2 - x_1)^2+ (y_2 -y_1)^2)}\)

The distance between A(2, 6) and B(8, 2),

AB= \(\sqrt{{(8-2)^2+(2-6)^2} }\)= \(\sqrt{6^2+(-4)^2}}\)=\(\sqrt{{36+16}}\)=\(\sqrt{52}\) =7.2

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Answer:

its 8.26

Step-by-step explanation:

you just subtract 9.86 with 1.6 and then you get the answer hope I helped

The predicted number of adults in Oak City whose main source of news is newspapers or the radio is 85

To predict the number of adults in Oak City whose main source of news is newspapers or the radio, we need to add the number of adults who answered "Newspapers" to the number of adults who answered "Radio".

According to the sample data

Number of adults who answered "Newspapers": 64

Number of adults who answered "Radio": 21

Therefore, the predicted number of adults in Oak City whose main source of news is newspapers or the radio we have to use the addition

64 + 21 = 85

Rounding this answer to the nearest whole number, we get

85 ≈ 85

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The given question is incomplete, the complete question is:

There are 44,000 adults living in Oak City. In examining attitudes toward the news, a research group asked a random sample of Oak City adults "What is your main source of news?" The results are shown below. Main Source of News Newspapers Number of Adults 64 Internet 80 Television 126 Radio 21 Other 40 Based on the sample, predict the number of adults in Oak City whose main source of news is newspapers or the radio. Round your answer to the nearest whole number.

A rate is a constant value that relates two proportional variables, like miles and gallons, pounds and days, etc.

In the case of units rates, the second variable has a value of one unit.

Some examples are:

• 100 cars pass by in 2 hours. The unit rate is 100/2=50 cars per hour.

• You can paint 3 boards in half an hour. The unit rate is 3/0.5=6 boards per hour.

• 200 sausages were eaten by 50 people. The unit rate is 200/50=4 sausages per person.

For any 2 variables, we can write 2 ratios, being one the inverse of the other.

For example, for the graph of miles and gallons, we can see that 1 gallon corresponds to 30 miles.

We then can write a ratio as:

This is a unit rate, as the second variable (gallons) have a value of 1 unit.

We can also write a second ratio as:

This second ratio is the inverse of the first one.

The probability of picking a red ball is 2/3.

As given in the student question,

The probability that a randomly selected person would be a protestant and at the same time be a democrat or a republican is not given in the problem statement.

Hence, it cannot be determined without further information.

Probability is the branch of mathematics that deals with the study of uncertainty.

It provides a framework for analyzing random events that occur in the real world.

Probability helps us to estimate the likelihood of a particular event occurring. It helps us to make informed decisions when faced with uncertain outcomes.

It plays a critical role in many fields such as science, engineering, economics, and finance.

Probability formula:

The probability of an event is calculated by dividing the number of favorable outcomes by the total number of outcomes.

The formula for probability is given by:

P (A) = Number of favorable outcomes/ Total number of outcomes

where P (A) represents the probability of event A.

Example:

Suppose we have a bag containing 10 red balls and 5 blue balls.

The total number of outcomes = 10 + 5 = 15

The number of favorable outcomes = 10P (Red ball) = 10/15 = 2/3

Therefore, the probability of picking a red ball is 2/3.

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No, an equilateral triangle is not similar to a scalene triangle.

Two triangles are similar if they have the same shape, but they can be different sizes. In order for two triangles to be similar, the angles in the triangles must be congruent (equal in measure) and the sides of the triangles must be proportional. An equilateral triangle has three congruent angles, each measuring 60 degrees, and three congruent sides. A scalene triangle, on the other hand, has three sides that are all different lengths and three angles that are all different measures. Because the angles and sides of an equilateral triangle are not proportional to the sides and angles of a scalene triangle, the two triangles are not similar.

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The two triangles are not similar.

Now, According to the question:

An equilateral triangle is not similar to a scalene triangle because an equilateral triangle has all equal sides and the same angle measures, and a scalene triangle's sides are all different measures and the angles don't measure the same angle.

An equilateral triangle has three congruent angles, each measuring 60 degrees, and three congruent sides. A scalene triangle, on the other hand, has three sides that are all different lengths and three angles that are all different measures. Because the angles and sides of an equilateral triangle are not proportional to the sides and angles of a scalene triangle, the two triangles are not similar.

Hence, The two triangles are not similar.

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The z-score with probability 0.225 to the right is 0.15 and the z-score with probability 0.900 to the left is -1.28. This can be calculated using the Z-score table for a standard normal distribution.

(a) Probability 0.225 to the right is equal to z-score 0.15.

This can be calculated using the Z-score table for a standard normal distribution.

The probability to the right of z-score is equal to the cumulative probability of the z-score.

The cumulative probability of 0.15 is 0.225, which is the probability to the right.

(b) Probability 0.900 to the left is equal to z-score -1.28.

This can be calculated using the Z-score table for a standard normal distribution.

The probability to the left of z-score is equal to the cumulative probability of the z-score.

The cumulative probability of -1.28 is 0.900, which is the probability to the left.

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