Homework: Section 5.2 Homework Question 11, 5.2.26 Part 1 of 2 HW Score: 40%, 6 of 15 points O Points: 0 of 1 Save A survey showed that 75% of adults need correction (eyeglasses, contacts, surgery, et

The required function is f(x) = xy - (9/2) x² + 4

To find a function that satisfies the given conditions, we can integrate the equation dy/dx = 9xy with respect to x.

This will allow us to find an expression for f(x).

Let's start by integrating both sides of the equation:

∫ dy/dx dx = ∫ 9xy dx

Integrating the left side gives us y, and integrating the right side requires the use of integration by parts.

Using u = x and dv = 9y dx, we have du = dx and v = ∫ 9y dx.

∫ 9xy dx = 9 ∫ x dy

Using integration by parts, we have:

∫ x dy = xy - ∫ y dx

Substituting this back into the equation, we get:

y = xy - 9 ∫ y dx

Rearranging the terms, we have:

y + 9 ∫ y dx = xy

Now, let's evaluate the integral on the right side:

\(\int\ y dx = \int (1/x)(x dy) = \int (1/x) d(x^2/2) = (1/2) \int (1/x) d(x^2)\)

Using the chain rule, we can simplify this further:

\((1/2) \int (1/x) d(x^2) = (1/2) \int d(x^2) = (1/2) x^2 + C\)

Substituting this back into the equation, we get:

\(y + 9((1/2) x^2 + C) = xy\)

Simplifying, we have:

\(y + (9/2) x^2 + 9C = xy\)

Now, we need to determine the constant C.

Since the graph of f passes through the point (0, 4), we can substitute these values into the equation:

\(4 + (9/2)(0)^2 + 9C = 0(4)\\4 + 0 + 9C = 0\\9C = -4\\C = -4/9\)

Substituting this value of C back into the equation, we have:

\(y + (9/2) x^2 - 4 = xy\)

Rearranging, we finally obtain the function f(x):

\(f(x) = xy - (9/2) x^2 + 4\)

Hence the required function is f(x) = xy - (9/2) x² + 4

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Answer:

all 3 options are true : A, B, C

Step-by-step explanation:

warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.

they say that A and C are correct.

but I am going to show you that if A and C are correct, then also B must be correct.

therefore, my given answer above is the actual correct answer (no matter what the test systems say).

originally the information about the alignment of the point F in relation to point E was missing.

therefore, I considered both options :

1. F is on the same vertical line as E.

2. F is not on the same vertical line as E.

because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :

the vertical line of EF is like a mirror between the left and the right half of the picture.

A is mirrored across the vertical line resulting in B. and vice versa.

the same for C and D.

this leads to the effect that all 3 given congruence relationships are true.

if we consider assumption 2, none of the 3 answer options could be true.

but if the assumptions are true, then all 3 options have to be true.

now, for the "why" :

remember what congruence means :

both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.

for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.

so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.

therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.

but do you notice something ?

both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.

now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.

therefore, AC must be equal to BD.

and that means that AC is congruent to BD.

because lines have no other congruent criteria - only the lengths must be identical.

All of the criteria's are fulfilled the survey is valid.

We have the information from the question:

The proportion of college football players who have had at least one concussion is estimated to be 34% in the united states.

Then, 34% = 0.34

The sample size of the data is = 100

p: the ‘proportion’ of ‘college’

The required conditions for testing the hypothesis of population proportion are,

(i) The population is larger than the sample

(ii) np > 10

=> 100 × 0.34

      =34

(iii) n(1-p) > 10

100 × (1 - 0.34)

=> 100 × 0.66

      =66

iv)The ‘sample’ is drawn randomly from the population.

Since all of the above criteria's are fulfilled the survey is valid.

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Answer:

-11

Step-by-step explanation:

step 1

Move the variable to the left-hand side and change its sign

8x-10x=22

step 2

collect like terms

-2x=22

step 3

Divide both sides of the equation by -2

x=-11

Answer:

x = 3

Step-by-step explanation:

AB is the line segment and is 20 cm

Since M is the midpoint, AM = MB = 20/2 = 10

3x + 1 = 10

==> 3x = 10- 1 = 9

==> x = 9/3 = 3

Answer:

AB=20 then AM =10

now,

\(3x + 1 = 10 \\ 3x = 10 - 1 \\ 3x = 9 \\ x = 3 \)

Answer:

trinomial

Step-by-step explanation:

Given polynomial has three terms, therefore it is a trinomial.

Answer:

Love is something you have to take care of figuratively.

Love is life, but love is sometimes not the thing to have sometimes

Love could be great, Love could be bad.

Step-by-step explanation:

a. 80% of 90 is the same as of 90 - False

b. 45% of 60 is 27 - True

c. 20% of 90 is the same as as of 90- True

d. 25 is 35% of 80 -False

a. 80% of 90 is not the same as 90. To find 80% of 90, we multiply 90 by 0.8, which gives us 72. Therefore, the statement is false.

b. To find 45% of 60, we multiply 60 by 0.45, which gives us 27. Therefore, the statement is true.

c. 20% of 90 is the same as of 90. To find 20% of 90, we multiply 90 by 0.2, which gives us 18. Therefore, the statement is true.

Lastly, for question d. 25 is not 35% of 80. To find 35% of 80, we multiply 80 by 0.35, which gives us 28. Therefore, the statement is false.

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Answer:

120

Step-by-step explanation:

Because triangle is always 180.

180-30-30=120

Step-by-step explanation:

a²+b²=c²

4²+b²=7²

b²=7²-4²

b²=49-16=33

Answer is

\( \sqrt{33} \)

Part A: The respondents in the population are a voluntary response sample.

Part B: The responses may not reflect the opinions of the general population

The total number of internet users in those is 1072 people.

The percentage of the total number of people that chose to respond is 38%

We can note that this survey does not compel the population to respond to the survey. These responses are given by the voluntary respondents.

Another point is that a voluntary response sample is a sample that consists of participants who are interested to participate in a sample group voluntarily.

In this type of survey, the people who are supposed to decide to provide voluntary responses to the survey are called voluntary response samples.

The percentage of those that chose to respond to this survey which is 38% is less than half of the total population. This result shows that the responses may not reflect the opinions of the general population.

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The probabilities for this problem are given as follows:

A probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

Then the probabilities are calculated as follows:

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Answer:

d

Step-by-step explanation:

m= 6-10 / -1-(-5) = -2

Hope this Helps :)

Answer:

-4 ≤ x ≤ 6

Step-by-step explanation:

Firstly, let us have a random number between the two digits

We can call this random number x

So now, we have to position x between these two numbers

So to ensure that the two numbers are in the range of our values, we have to use an equality statement that will cover both

So by using lesser than or equal to we can incorporate the two extremes

The inequality here is thus ;

-4 ≤ x ≤ 6

Answer:

Step-by-step explanation:

Answer:

Check Below

Step-by-step explanation:

given things  : 1. height of cone  = 22* 1/4 feet or  89/4 feet

                       2.  diameter of cylinder = 2* 2/5 times of height

                                                          =  12/5 times of height or 12/5 * 89/4

                                                           = 89*3/5 feet

now formula of volume of cone =  Pi R² * H

                                                       = (3.14) ( D/2)² * H

                                                       = (3.14)*  (89*3/10)² * 89/4

                                                       = (3.14) * (26.7)² * 22.25

                                                       = (3.14) * 712.89 * 22.25

                                                       =  (49806.06)

Hope u find this answer Helpful !

Given a ray passing through a line at an angle of 29 degrees, the angle opposite to it (angle R) can be found by subtracting 29 degrees from 180 degrees. Therefore, the value of angle R is 151 degrees.

We are given that a ray passes through a line, making an angle of 29 degrees with the line. Let us represent this situation as follows

The angle R represents the angle opposite to the angle of 29 degrees. Since the ray and the line form a straight line, their angles add up to 180 degrees. Therefore, we can write

angle R + 29 degrees = 180 degrees

To solve for angle R, we can subtract 29 degrees from both sides of the equation

angle R = 180 degrees - 29 degrees

Simplifying the expression, we get

angle R = 151 degrees

Therefore, the value of angle R is 151 degrees.

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\(3\leqslant |x+2|\leqslant 6\implies \begin{cases} 3\leqslant |x+2|\\\\ |x+2|\leqslant 6 \end{cases}\implies \begin{cases} 3 \leqslant \pm (x+2)\\\\ \pm(x+2)\leqslant 6 \end{cases} \\\\[-0.35em] ~\dotfill\)

\(3\leqslant +(x+2)\implies \boxed{3\leqslant x+2}\implies 1\leqslant x \\\\[-0.35em] ~\dotfill\\\\ 3\leqslant -(x+2)\implies \boxed{-3\geqslant x+2}\implies -5\geqslant x \\\\[-0.35em] ~\dotfill\\\\ +(x+2)\leqslant 6\implies \boxed{x+2\leqslant 6}\implies x\leqslant 4 \\\\[-0.35em] ~\dotfill\\\\ -(x+2)\leqslant 6\implies \boxed{x+2\geqslant -6}\implies x\geqslant -8\)

Neglect a is constructive response to job satisfaction is the false statement.

Neglect is not a constructive response to job satisfaction. It refers to a situation where employees feel ignored, unappreciated, or unsupported in their work, which can negatively impact their job satisfaction. Constructive responses to job satisfaction involve addressing concerns, providing support, and promoting a positive work environment.

Job satisfaction refers to an individual's level of contentment and fulfillment with their job. It is influenced by various factors such as work environment, compensation, relationships with colleagues, opportunities for growth, and alignment with personal values.

When employees experience job dissatisfaction, they may respond in different ways. One possible response is neglect, which refers to a passive and disengaged attitude towards work. Neglectful employees may become indifferent, withdraw their effort, or mentally check out from their responsibilities.

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Answer:

no his prediction is not correct. there would be 90 window panes

Step-by-step explanation:

12 panes in 2 windows so 1 window has 6 panes. multiply the 15 windows by 6 panes to get the total of 90 panes

12/2=6

6x15=90

To reflect one point about a horizontal line, we want the image and the preimage to be equidistant to that line.

Then, to reflect for example point (8,8) about the line y = -1, we need to find a point with the same x-coordinate and whose distance to line y = -1 is the same.

The distance from point 8,8 to line y = -1 is 8 - (-1) = 8 + 1 = 9.

Then, a point that is 9 units down the line y = -1 will be (8,-10) since -1 - (-10) = -1 + 10 = 9.

We found then that to reflect about a line y = a, we need to add twice a to the negative y coordinate:

Then, for reflection about y = -1:

Now we need to use the same equation:

To transform the new images, which are:

A'(8,-10)

B'(10,-8)

C'(2,-4)

Applying the same for them:

Now we have all the blanks:

For the reflection about y = -1:

A'(8, -10)

B'(10, -8)

C'(2, -4)

For the reflection about y = -7:

A'(8, -4)

B'(10, -6)

C'(2, -10)

Answer:

I think it would be y = 27.5

Step-by-step explanation:

If x = 120 and y = 55, and x=60, or half of 120, then y would be half of 55, or 27.5

Answer:

y = 27.5

Step-by-step explanation:

Because when x=120 and then umps down to 60, thats half of 120

So you just have to divide 55 by 2 and get 27.5 (I doubled checked on a calculator to make sure!!) Hope this helps!!! :D

Answer:

niki minaj " im the queen of rap" she said it

Step-by-step explanation:

Answer:

Nicki Minaj

Explanation:

Onika Tanya Maraj-Petty, known professionally as Nicki Minaj, has held the “Queen of Rap” title for at least ten years.

The inverse of a number is it's reciprocal. Divide 1 by the number to obtain its reciprocal.

For example, the reciprocal of 5 is 1/5, and the reciprocal of 0.5 is 2. The reciprocal of a number x is denoted by 1/x or x^(-1).

For example, to find the reciprocal of 8, you would divide 1 by 8, like this:

1/8 = 0.125

To find the reciprocal of a fraction, you can also turn the fraction upside down to get its reciprocal. For instance, 4/3 is 3/4's inverse.

To find the inverse of a matrix, you can use the following formula:

A^(-1) = (1/det(A)) * adj(A)

where A is the matrix, det(A) is the determinant of the matrix, and adj(A) is the adjugate of the matrix. The transposition of a matrix's cofactor matrix is adjugate. The cofactor matrix is a matrix of the determinants of the minors of the original matrix, each of which is multiplied by a cofactor (-1)^(i+j). The minors of a matrix are the determinants of the square submatrices formed by deleting one row and one column from the matrix. The determinant of a matrix is a scalar value that can be computed from its elements.

For example, consider the matrix A:

[a b]

[c d]

The determinant of A is:

det(A) equals (a * d) - (b * c).

The cofactor matrix of A is:

[d -b]

[-c a]

The adjugate of A is the transpose of the cofactor matrix, so it is:

[d -c]

[-b a]

The inverse of A is then:

A^(-1) = (1/det(A)) * adj(A)

= (1/((a * d) - (b * c))) * [d -c]

[−b a]

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Answer:

-10

-7

-4

-1

2

5

8

Step-by-step explanation:

an = a + (n - 1)d

The slope of the line tangent to the graph of \(y = x^2 - 2x + 1\) when \(x = 1\) is 2.



1. Take the derivative of the given function: \(y' = 2x - 2\).

2. Substitute \(x = 1\) into the derivative: \(y' = 2(1) - 2 = 2\).



To find the slope of the tangent line, we need to differentiate the given function with respect to \(x\). The derivative of \(x^2\) is \(2x\), and the derivative of \(-2x\) is \(-2\). Therefore, the derivative of \(y = x^2 - 2x + 1\) is \(y' = 2x - 2\).

Next, we substitute \(x = 1\) into the derivative to find the slope at that point. By plugging in \(x = 1\) into the derivative, we get \(y' = 2(1) - 2 = 2\). Thus, the slope of the tangent line at \(x = 1\) is 2.

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Answer:

30

hope it helps

Answer:

D) 10y+10

E) 10(y+1) = 10y+10

Step-by-step explanation:

8y+y+y+10

9y+y+10

10y+10

Answer:

D, E

Step-by-step explanation:

D. 10y + 10

E. 10 (y+1) = 10y+10

Carl deposited 10,000 into the savings account.

We can use the formula for compound interest to solve this problem:

\(A = P(1 + r/n)^{(nt)}\)

Where:

A = the final amount

P = the initial principal (what Carl deposited)

r = the annual interest rate (8%)

n = the number of times interest is compounded per year (2 for semiannual compounding)

t = the number of years (1)

Plugging in the given values and solving for P:

\(10,816 = P(1 + 0.08/2)^{(2\times 1)}\)

\(10,816 = P(1.04)^2\)

10,816 = 1.0816P

P = 10,000

Therefore, Carl deposited 10,000 into the savings account.

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