pls help asap will mark brainlist

Answer:

7/8 =s

Step-by-step explanation:

1/8=s-3/4

Add 3/4

1/8 + 3/4 = s -3/4 +3/4

1/8 + 3/4 = s

Get a common denominator

1/8 + 3/4 *2/2 = s

1/8 + 6/8 =s

7/8 =s

1/8 = s - 3/4

1/8 = s -6/8 ( * 2/2)

7/8 = s

s = 7/8

(a) The graph of the linear functions is as attached.

(b) The equation of the linear function in slope-intercept form is; y = x

(c) The equation of the transformed function in slope-intercept form is;

y = x + 2 and y = x - 3

Functions are defined as the relationship between sets of values. For example, in the function; y = f(x), for every value of x there exists a set of y values.

x is the independent variable.

y is the dependent variable.

If the linear function is; y = x,

The equation of the transformation in slope-intercept form is given as;

For translation of 2 units up, we have;

y = x + 2

For a translation of 3 units down, we have;

y = x - 3

Thus, the required graph has been attached and the solution is determined.

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Main Answer:The recurrence relation for the power series solution of the given differential equation is:   a_(n+2) = a_n / (n+2)

Supporting Question and Answer:

How can we find the recurrence relation for the power series solution of a differential equation?

To find the recurrence relation for the power series solution of a differential equation, we can assume the solution can be expressed as a power series and substitute it into the differential equation. By equating the coefficients of like powers of x to zero, we can derive the recurrence relation for the coefficients of the power series. This recurrence relation allows us to express the coefficients in terms of previous coefficients, providing a systematic way to compute the coefficients of the power series solution.

Body of the Solution: To find the recurrence relation for the power series solution of the differential equation y′′(1 - x)y = 0, we can assume that the solution can be expressed as a power series:

y(x) = ∑(n=0)^(∞) a_n x^n

First, to find the first and second derivatives of y(x):

y'(x) = ∑(n=1)^(∞) na_nx^(n-1)

=∑(n=0)^(∞) (n+1)×a_(n+1)×(x)^n

y''(x) =∑(n=2)^(∞) n(n-1)a_nx^(n-2)

= ∑(n=0)^(∞) (n+2)(n+1)×a_(n+2)×(x)^n

Now, substitute these expressions into the differential equation:

∑(n=0)^(∞) (n+2)(n+1)×a_(n+2)×(x)^n× (1 - x) × ∑(n=0)^(∞) a_n x^n = 0

Expand and collect terms:

∑(n=0)^(∞) [(n+2)(n+1)×a_(n+2) - (n+1)×a_n] ×( x)^n - ∑(n=0)^(∞) (n+2)(n+1)×a_(n+2)×(x)^(n+1) = 0

Now, equating the coefficients of like powers of x to zero:

For n = 0:

[(2)(1)×a_2 - (1)×a_0] = 0

a_2 = a_0

For n ≥ 1:

[(n+2)(n+1)×a_(n+2) - (n+1)×a_n] - (n+2)(n+1)×a_(n+2) = 0

a_(n+2) = (n+1)×a_n / ((n+2)(n+1)) = a_n / (n+2)

Final Answer: Hence, the recurrence relation for the power series solution of the given differential equation is:

a_(n+2) = a_n / (n+2);where a_0 is a constant representing the coefficient of x^0 in the power series solution.

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The equation represent to determine the \(x^n\) number in a sequence is this function f(  x+1) = 5/2 f(x). This is the equation used to determine the xth number in a sequence.

Here, these values are given,

f(x) = 3/2 [5/2] x-1 [ After putting the values of f(x)}

So,here from this ,the equation will become ,

f(x+1) = 3/2 [ 5/2] x+1-1

f(x+1) = 3/2 [5/2] x

Here, 5/2 f(x)= 5/2×3/2 [5/2] x-1

5/2 f(x) = 3/2 [5/2] x-1+1

5/2 f(x) = 3/2 [5/2] x

So, f(x+1) =[ 5/2]f (x)

So, this will be the equation for this function .

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\(f(x) = (3/2)^(5/2)^(x - 1)\) this function can be used to calculate the xth number in the sequence for any given value of x.

f(x) is the function that will generate the xth number in the sequence.

The function is written as:

\(f(x) = (3/2)^(5/2)^(x - 1)\)

This can be read as:

Take 3/2 (three halves) to the power of 5/2 (five halves) to the power of x minus 1.

This will generate the xth number in the sequence.

The function f(x) is used to determine the xth number in a sequence. It is written as: f(x) = \((3/2)^(5/2)^(x - 1)\). This means that we take the number 3/2 (three halves) and raise it to the power of 5/2 (five halves) and then to the power of x minus 1. This will generate the xth number in the sequence, where x is the position in the sequence. For instance, if x is 5, then the fifth number in the sequence will be generated using the function f(x). Therefore, this function can be used to calculate the xth number in the sequence for any given value of x.

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Answer:

\(\frac{121}{4}\)

Step-by-step explanation:

begin by squaring each side to get:  x - 10 = 1 - 2\(\sqrt[]{x}\) + x

simplify to get -11 = - 2\(\sqrt[]{x}\)

divide by -2 to get \(\frac{11}{2}\) = \(\sqrt[]{x}\)

square each side again to get x = 121 / 4

Using the mean concept, the ratio of the number of female attendants to the number of male attendants was of 3.

The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.

In this problem:

Hence:

\(\frac{1200f + 800m}{f + m} = 900\)

1200f + 800m = 900f + 900m

100m = 300f

\(\frac{f}{m} = 3\)

Hence the ratio was of 3.

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The solution is the length of the rectangle is 250 m and the width of the rectangle is 500 m

The dimensions of the rectangle to have the maximum area with a 1000m fencing will be 250m x 500m

What is the Area of a Rectangle?

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the total fencing available be = 1000m

The number of sides of the rectangle that are paddock = 3 sides

The fourth side is an existing straight water

Now , let the area of the rectangle be = A

Now , the derivative of A should be = 0 , for it to have the maximum area

So ,

Let the length of the rectangle be = x

The width of the rectangle = 1000 - 2x

So , The area of the rectangle = Length x Width

Substituting the values in the equation , we get

The area of the rectangle A = x ( 1000 - 2x )

The area of the rectangle A = 1000x - 2x²

Taking derivatives on both sides of the equation with respect to x ,

dA/dx = 1000 - 4x

when dA/dx = 0 , it will have the maximum area

So ,

1000 - 4x = 0

Adding 4x on both sides of the equation , we get

4x = 1000

Divide by 4 on both sides , we get

x = 250 m

So , the length of the rectangle = 250 m

The width of the rectangle = 1000 - 2x

The width of the rectangle = 500 m

Therefore , the dimensions of the rectangle is 250 m x 500 m

Hence , The dimensions of the rectangle to have the maximum area with a 1000m fencing will be 250m x 500m

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I cant get it can you

explane plz

Answer:

One of the options is most likely "Point C's coordinates do not change". I can't help much other than that.

Step-by-step explanation:

I apologize but I'd need to see the graph and the options to provide a completely accurate answer.

Answer:

16 months or a year and 4 months

The equation of the hyperbola for the cross section of the cooling tower is x²/8100 - y²/9506.25 = 1.

We must take into account its characteristics in order to formulate the hyperbola's equation for the cooling tower's cross section.

Since the origin serves as the hyperbola's centre, its coordinates are (0, 0).

The left/right opening of the hyperbola indicates that the primary axis is horizontal.

The cooling tower's smallest diameter is 180 metres, which is the same length as the minor axis.

The primary axis' 195 m length and the diameter at its highest point are matched.

The hyperbola's highest point is 80 metres above the centre.

These characteristics allow us to write the hyperbola's equation in standard form:

(x - h)²/a² - (y - k)²/b² = 1

Where (h, k) represents the center of the hyperbola.

Substituting the given values:

Center: (h, k) = (0, 0)

Minor axis: 2a = 180 m, so a = 90 m

Major axis: 2b = 195 m, so b = 97.5 m

Vertical shift: c = 80 m

Now we can write the equation of the hyperbola:

x²/90² - y²/97.5² = 1

Simplifying, we have:

x²/8100 - y²/9506.25 = 1

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Answer:

Opition A I just did it

Step-by-step explanation:

I LIKE YA CUT G

The equation of the circle, obtained by applying the completing the square method to the specified equation indicates that the center and radius of the circle are;

Center (0, 6) and radius 7.5

The general form of the equation of a circle is; (x - h)² + (y - k)² = r², where;

(h, k) = The coordinates of the center of the circle

r = The measure of the length of the radius

The possible equation obtained from a similar question on the internet can be presented as follows;

x² + y² - 12·y - 20.25 = 0

The above equation can be evaluated using the completing the square method and excluding the x² term as follows;

y² - 12·y - 20.25 = 0

y² - 12·y = 20.25

y² - 12·y + (-12/2)² = 20.25 + (-12/2)²

y² - 12·y + (-6)² = 20.25 + (-6)² = 56.25

(y - 6)² = 56.25

Therefore;

y - 6 = √(56.25) = ±7.5

The possible equation of the circle obtained by plugging in the x² term therefore is; (x - 0)² + (y - 6)² = 7.5²

The center of the circle is therefore;

(h, k) = (0, 6)

The radius of the circle, r = 7.5

The possible correction is therefore, option (a), where the 5 is a typing error

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Answer:

1% of 440 is 4.4

Step-by-step explanation:

440 x .01 = 4.4

To determine if distance can be an instrumental variable (IV) for attendance in the model of given performance, we need to ensure that it satisfies the following assumptions: Relevance, Exogeneity and Exclusion restriction.

1. Relevance: Distance must be correlated with attendance, meaning that it has a significant effect on attendance. Intuitively, students living closer to the lecture hall may attend classes more frequently.
2. Exogeneity: Distance must not be directly correlated with the error term (u) in the performance equation, meaning that it should not have any direct effect on student performance apart from its impact on attendance. The assumption given already states that distance and u are uncorrelated, which fulfills this requirement.
3. Exclusion restriction: Distance should not have any direct effect on performance except through its influence on attendance. In other words, after controlling for attendance, ACT scores, and GPA, distance should not be a significant predictor of performance.
Additionally, we must assume that there are no other unobserved variables that could be driving the relationship between distance and performance. If these assumptions are met, we can use distance as an instrumental variable to identify the causal effect of attendance on performance.

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Answer:

32 cm³

Step-by-step explanation:

Volume of a sphere is:

\(V_{s}=\frac{4}{3}\pi r^{3}\)

Volume of a cylinder is:

\(V_{c} = \pi r^{2} h\)

The volume of the cylinder is 48 cm³.

The cylinder has the same radius (r) and height (2r) as the sphere.

\(48 = \pi r^{2} (2r)\\48 = 2\pi r^{3}\\24 = \pi r^{3}\)

Therefore, the volume of the sphere is:

\(V_{s}=\frac{4}{3} (24)\\V_{s}=32\)

The Volume of sphere is 32 cm³.

Every three-dimensional item requires some amount of space. The volume of this space is measured. Volume is defined as the space occupied by an object inside the confines of three-dimensional space. It is also known as the object's capacity.

We have,

The volume of the cylinder is 48 cm³.

As, Volume of cylinder = πr²h

Volume of Sphere = 4/3πr³

Now, the height h=2r

Then, Volume of cylinder = πr²(2r) = 2πr³

and, Volume of sphere = 4/3πr³

So, we can write

πr³ = 3 ( Volume of sphere)/4

Volume of Cylinder = 3 (Volume of sphere) / 2

48 =  3 (Volume of sphere) / 2

96 /3 = Volume of sphere

Volume of sphere = 32 cm³

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To calculate the final price that Linh pays, we need to consider the prices of the items and the discount applied.The two T-shirts cost $12 each, so their total price is 2 * $12 = $24.The pair of shoes costs $28.The pair of jeans costs $45.

The total price before the discount is $24 + $28 + $45 = $97.Linh has a coupon for 30% off her total purchase. To calculate the discount, we multiply the total price by 30%:Discount = $97 * 0.30 = $29.10.The final price Linh pays is the total price minus the discount:Final price = $97 - $29.10 = $67.90.Therefore, the final price that Linh pays is $67.90..The two T-shirts cost $12 each, so their total price is 2 * $12 = $24.The pair of shoes costs $28.The pair of jeans costs $45.There is no tax on her purchase. What is the final price that Linh pays? $25. 50 $29. 10 $59. 50 $67. 90

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By convention, we often reject the null hypothesis if the probability of our result, given that the null hypothesis were true, is less than .05

By convention, we often reject the null hypothesis if the probability of our result, given that the null hypothesis were true, is considered statistically significant, which is typically set at a level of alpha = .05.

This means that if there's less than a 5% chance of obtaining our result when the null hypothesis is true, we consider the result statistically significant and reject the null hypothesis in favor of the alternative hypothesis.

Therefore, option B is the correct answer.

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Answer: Non proportional

Step-by-step explanation:

To know if the values given are proportional or not, we will use the formula:

y = kx

where

y = number of organisms

x = number of minutes

k = constant of proportionality

After 5 minutes, a bacteria colony has 1.3 million organisms. Using the formula, y = kx

1,300,000 = 5k

k = 1,300,000 / 5

k = 260,000

After 12 minutes, the same colony has 41.5 million organisms. Using y= kx

41,500,000 = 12x

x = 41500000 / 12

x = 3458333.8

After 15 minutes, the colony has grown to 101.3 million organisms.

y = kx

101,300,000 = 15k

k = 101,300,000 / 15

k = 6753333.8

It is a non-proportional relationship as the constant of proportionality is different for each.

Step-by-step explanation:

hope it is helpful to you

Answer and Step-by-step explanation:

To find the length of HP, we must use the Pythagorean Theorem.

This theorem helps us solve for the sides of any right triangle.

The equation for the Pythagorean Theorem is:

\(a^{2}+ b^{2} = c^{2}\), in which a and b are the legs, while c is the hypotenuse.

Let's plug in our values into the equation to find the length of HP.

We will use the variable x to represent HP.

\(9^{2}+ 12^{2} = x^{2} \\\\\\Square.the.9.and.the.12.\\\\\\81 + 144 = x^2\\\\\\Add.\\\\\\225 = x^2\\\\\\Square.both.sides.\\\\\\\sqrt{225} = \sqrt{x^2} \\\\\\15 = x = HP\)

So, we get our answer to be 15.

The length of HP is 15.

#teamtrees #PAW (Plant And Water)

Answer:A

Step-by-step explanation:

if total is 90 and one part is 62,

90-62=28=CAT

There is evidence to suggest that the mean annual rainfall for the state of California and the state of New York is different.

The state of California has a mean annual rainfall of 22 inches, whereas the state of New York has a mean annual rainfall of 42 inches. Assume that the standard deviation for both states is 4 inches. A sample of 30 years of rainfall for California and a sample of 45 years of rainfall for New York have been taken. If required, round your answer to three decimal places.

The value of the z-statistic for the difference between the two population means is -9.6150.

The critical value of z at 0.01 level of significance is 2.3263.

The p-value for the hypothesis test is p = 0.000.

As the absolute value of the calculated z-statistic (9.6150) is greater than the absolute value of the critical value of z (2.3263), we can reject the null hypothesis and conclude that the difference in mean annual rainfall for the two states is statistically significant at the 0.01 level of significance (or with 99% confidence).

Therefore, there is evidence to suggest that the mean annual rainfall for the state of California and the state of New York is different.

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The value of the mean is 155.96mm

Calculation of the mean is:

n=5

Mean= \(\frac{\sum fx}{n}\)

Mean=\(\frac{156.9+153.2+153.6+157.5+158.6}{5}\)

Mean=779.8/5

Mean=155.96mm

The question was incomplete, the complete question is given below:

Auto pistons at Wenming​ Chung's plant in shanghai are produced in a forging​ process, and the diameter is a critical factor that must be controlled. from sample sizes of 10 pistons produced each​ day, the mean and the range of this diameter have been as​ follows:

Day Mean X(mm) Range R (mm)

1   156.9          4.2

2   153.2         4.6

3   153.6         4.1

4   157.5         4.8

5   158.6         4.7

What is the value of mean in mm, (round your response to 2 decimal places)

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19

Explanation:

9-3=6

(Check your work)

3+6=9

__________________________________

6÷1/3=18

(Check your work)

(6×3=18)

__________________________________

18+1=19

Therefore,

the answer is 19!

In order to find f(-4), we want to evaluate

f(x) = -x - 5

when x = -4, so we just have to replace x by -4:

f(x) = -x - 5

↓

f(-4) = -(-4) - 5

↓

f(-4) = 4 - 5

↓

f(-4) = -1

Answer: D

The diver's velocity during the first 2 sec of fall using the modified Euler method with Ar= 0.2 is 62.732 mph.

Given data: Initial velocity, u = 0 ft/sec

Acceleration, a = g = 32.2 ft/sec²

The maximum rate of fall, vmax = 80 mph

Time, t = 2 seconds

Air resistance constant, Ar = 0.2

We are supposed to determine the sky diver's velocity during the first 2 seconds of fall using the modified Euler method.

The governing equation for the velocity of the skydiver is given by the following:

ma = -m * g + k * v²

where, m = mass of the skydive

r, g = acceleration due to gravity, k = air resistance constant, and v = velocity of the skydiver.

The equation can be written as,

v' = -g + (k / m) * v²

Here, v' = dv/dt = acceleration

Hence, the modified Euler's formula for the velocity can be written as

v1 = v0 + h * v'0.5 * (v'0 + v'1)

where, v0 = 0 ft/sec, h = 2 sec, and v'0 = -g + (k / m) * v0² = -g = -32.2 ft/sec²

As the initial velocity of the skydiver is zero, we can write

v1 = 0 + 2 * (-32.2 + (0.2 / 68.956) * 0²)0.5 * (-32.2 + (-32.2 + (0.2 / 68.956) * 0.5² * (-32.2 + (-32.2 + (0.2 / 68.956) * 0²)))

v1 = 62.732 mph

Therefore, the skydiver's velocity during the first 2 seconds of fall using the modified Euler method with Ar= 0.2 is 62.732 mph.

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