5. Use derivatives to find the maximum value of xy subject to the constraint 150 + 10y = 12. Your final answer should be a single number or fraction and as simple as possible.

Answer: m∠W = 56

because UVWX is a rhombus

=> UV // WX

=> 2y + 2y - 68 = 180

<=> 4y = 248

<=> y = 62

=> m∠W = 2.62 - 68 = 56

Step-by-step explanation:

Answer:

33:79

Step-by-step explanation:

We are told that a factory is going to hire 33 new employees.

and the total applicants is 79

In this problem, we want to represent the situation as a ratio of new hires to applicants

Since the question says  new hires to applicants

Hence, the ratio will be

33 to 79

or

33/79, we can simplify this as

33:79

Answer:

yes, he gets 674 points

Step-by-step explanation:

12*58=696

22*1=22

696-22=674

Using the volume x³ + 10x² + 19x  - 30, the missing side of the rectangular prism is (x + 6)

Two sides of a rectangular prism are x + 5 and x - 1. The volume of the rectangular prism is given as x³ + 10x² + 19x  - 30.

Let's find the missing side of the rectangular prism.

Therefore,

volume of a rectangular prism = lwh

where

Therefore,

volume of the prism = x³ + 10x² + 19x  - 30

Let's factorise it to find the missing side length

x³ + 10x² + 19x  - 30  = 0

(x - 1)(x² + 11x + 30)

let's factorise x² + 11x + 30

x² + 11x + 30

x² + 5x + 6x + 30

x(x + 5) + 6(x + 5)

(x + 6)(x + 5) = 0

Therefore, the side length of the rectangular prism are (x - 1), (x + 5) and (x + 6)

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Answer:

c on edge

Step-by-step explanation:

The option that best summarizes bankruptcy is; C: reorganize debt and keep property

Bankruptcy is simply defined as a legal proceeding involving a person or business that is unable to repay their outstanding debts.

Now, this question is taken from chapter 13 of the US Courts policy on filing bankruptcy. The chapter 13 of the Bankruptcy Code is one that provides for adjustment of debts of an individual with regular income and this allows a debtor to keep property and pay debts over time, usually three to five years.

Thus, option C is the correct option.

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Answer: No

Step-by-step explanation: Because not all lines can have to end ponits some needs to go on forever like infinte and not be stop by the end points Hope this is the answer your looking for :).

The solution when Izzie is trying to solve this inequality 3(t+1)−4t≥−5 is incorrect.

From the information, Izzie is trying to solve this inequality. After she solves it, she shows it to you, and she asks you if she did it correctly.

3(t+1)−4t≥−5

3t + 3 - 4t ≥ -5

Collect like terms

3t - 4t ≥ −5 - 3

-t ≥ −8

Divide by -1

t <= 8

Therefore, the solution of Is lzzie is incorrect.

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Izzie is trying to solve this inequality. After she solves it, she shows it to you, and she asks you if she did it correctly. This is the work she completed:

3(t+1)−4t≥−5

Step 1: 3t +3−4t≥−5

Step 2: −t+3≥−5

Step 3: −t≥−8

Step 4: t≥8

Is Izzie correct?

Answer:

M = 18

Step-by-step explanation:

Answer:

m < 49/12

Step-by-step explanation:

The portion of the quadratic formula under the square root sign is the discriminant.

If the discriminant is > 0 then there are two real roots.

b² -4ac > 0

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

7² - 4(3)m > 0

49 - 12m > 0

Subtract 49 from both sides

-12m > -49

Divide both sides by -12

(when multiplying or dividing by a negative the inequality must be reversed)

m < 49/12

Answer:

A

Step-by-step explanation:

the order of letter should resemble the same shape

The inverse z-transform of X(z) = (1 - z⁻¹)(1 - 0.5z⁻¹)z⁻³, obtained by the partial fraction expansion method, is x(n) = δ(n) - δ(n-1) + 0.5ⁿu(n-3), where δ(n) represents the Kronecker delta function and u(n) represents the unit step function.

To find the inverse z-transform of a given rational function, we can use the partial fraction expansion method. In this case, we have X(z) = (1 - z⁻¹)(1 - 0.5z⁻¹)z⁻³.

To apply the partial fraction expansion, we factorize the denominator, which is z⁻³, and express the numerator, (1 - z⁻¹)(1 - 0.5z⁻¹), as a sum of simpler fractions with undetermined coefficients.

The factors in the denominator give rise to terms in the expansion, including δ(n) and δ(n-1) for the roots at z = 0, and 0.5ⁿu(n-3) for the root at z = 0.5.

By solving for the undetermined coefficients and grouping the terms, we obtain the inverse z-transform x(n) = δ(n) - δ(n-1) + 0.5ⁿu(n-3), which represents the time-domain sequence corresponding to X(z).

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Answer:

-5

Step-by-step explanation:

(+5) × (-1) can also be written as (-1) + (-1) + (-1) +(-1) +(-1) which is -5

Answer: no

Step-by-step explanation: So, the function's graph cannot intersect the vertical asymptote because in order for it to do so, the graph should contain a point on the asymptote.

Yes, it is possible for the graph of y = f(x) to intersect a vertical asymptote, and It depends on the specific behavior and properties of the function f(x).

Given that,

The graph of a function is,

y = f (x)

Now, it is possible for the graph of y = f(x) to intersect a vertical asymptote.

While vertical asymptotes typically represent values of x where the function approaches infinity or negative infinity, there may be cases where the graph intersects the asymptote as it approaches or crosses it.

Hence, It depends on the specific behavior and properties of the function f(x).

So, The given statement is true.

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Answer:

= 2 + 128 - 2 = 128

extra charachters

Answer:

128

Step-by-step explanation:

thank you hope this helps

9514 1404 393

Answer:

  114°

Step-by-step explanation:

Angles LOM and MON are a linear pair, so are supplementary.

  x + 66 = 180

  x = 180 -66 = 114

The measure of ∠x is 114°.

Answer:

50.8 cm

Step-by-step explanation:

2.54 cm = 1 inch

2.54 • 20 inches = 50.8

Answer:

the answer is 36 square meters since this is the proper way to phrase this answer but if you do say it the other way people will now what u are talking about

Answer:

The answer is:

Step-by-step explanation:

9, 4.1, 2.6, 7, 8.5

The integral of [5x^3 + 2x - sin(x)]dx is [5/4 x^4 + x^2 - cos(x)] + C, where C is the constant of integration.

To find the integral of [5x3 + 2x – sin(x)]dx, the formula of the integrals of x^n, nx^(n-1), and ∫sin(x)dx = -cos(x) are used.Integral of 5x^3 is ∫5x^3dx = 5/4 x^4Integral of 2x is ∫2xdx = x^2Integral of sin(x) is ∫sin(x)dx = -cos(x)Therefore, the integral of [5x3 + 2x – sin(x)]dx is; ∫[5x^3 + 2x - sin(x)]dx= [5/4 x^4 + x^2 + (-cos(x))] + CWhere C is the constant of integration.

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The probability of drawing 2 pennies and 2 dimes in any order is 0.0706 or approximately 7.06%.

To find the probability of drawing 2 pennies and 2 dimes in any order, we first need to calculate the total number of ways to select 4 coins without replacement from the given purse.
The total number of coins in the purse is 4 + 5 + 8 = 17. So, the total number of ways to select 4 coins without replacement is:
17 choose 4 = 17C4 = (17!)/(4!13!) = 2380
Next, we need to calculate the number of ways to select 2 pennies and 2 dimes in any order.
The number of ways to select 2 pennies from 4 is:
4 choose 2 = 4C2 = (4!)/(2!2!) = 6
Similarly, the number of ways to select 2 dimes from 8 is:
8 choose 2 = 8C2 = (8!)/(2!6!) = 28
To get the total number of ways to select 2 pennies and 2 dimes in any order, we need to multiply the number of ways to select 2 pennies by the number of ways to select 2 dimes:
6 * 28 = 168
Finally, we can calculate the probability of drawing 2 pennies and 2 dimes in any order by dividing the number of ways to select 2 pennies and 2 dimes by the total number of ways to select 4 coins without replacement:
168/2380 = 0.0706 or approximately 7.06%
Therefore, the probability of drawing 2 pennies and 2 dimes in any order is 0.0706 or approximately 7.06%.

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Answer:

she has 10$

Step-by-step explanation:

5+5 10 9.50

Answer:

68257

Step-by-step explanation:

Answer:

1943 is the difference between these two numbers

The given differential equation is `(27xy + 45y²) + (9x² + 45xy)y' = 0`.We have to solve this differential equation by using integrating factor `u(x, y) = (xy(2x+5y))-1`.The integrating factor `u(x,y)` is given by `u(x,y) = e^∫p(x)dx`, where `p(x)` is the coefficient of y' term.

Let us find `p(x)` for the given differential equation.`p(x) = (9x² + 45xy)/ (27xy + 45y²)`We can simplify this expression by dividing both numerator and denominator by `9xy`.We get `p(x) = (x + 5y)/(3y)`The integrating factor `u(x,y)` is given by `u(x,y) = (xy(2x+5y))-1`.Substitute `p(x)` and `u(x,y)` in the following formula:`y = (1/u(x,y))* ∫[u(x,y)* q(x)] dx + C/u(x,y)`Where `q(x)` is the coefficient of y term, and `C` is the arbitrary constant.To solve the differential equation, we will use the above formula, as follows:`y = [(3y)/(x+5y)]* ∫ [(xy(2x+5y))/y]*dx + C/[(xy(2x+5y))]`We will simplify and solve the above expression, as follows:`y = (3x^2 + 5xy)/ (2xy + 5y^2) + C/(xy(2x+5y))`Simplify the above expression by multiplying `2xy + 5y^2` both numerator and denominator, we get:`y(2xy + 5y^2) = 3x^2 + 5xy + C`This is the general solution of the differential equation.

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(a) The presence of a confounding variable Z, such as the severity of the fire, could make the relationship between the number of firefighters (X) and property damage (Y) spurious.

(b) The presence of a confounding variable Z, such as the popularity of the incumbent member or the characteristics of the constituency, could make the relationship between campaign spending (X) and percentage of vote (Y) spurious.

(c) The presence of a confounding variable Z, such as the overall lifestyle or socioeconomic status of the women, could make the relationship between coffee consumption (X) and the risk of depression (Y) spurious.

(d) The presence of a confounding variable Z, such as the overall economic conditions or demand for rum in Havana, could make the relationship between Presbyterian ministers' salaries (X) and the price of rum (Y) spurious.

In each of the given examples, the reported pattern of covariation between X and Y may be influenced by a confounding variable Z. A confounding variable is a variable that is related to both the independent variable (X) and the dependent variable (Y), which can lead to a spurious relationship between X and Y.

The presence of a confounding variable can create the illusion of a direct relationship between X and Y when, in reality, the observed relationship is due to the influence of Z.

For example, in the case of firefighters and property damage, the severity of the fire (Z) could be the underlying factor driving both the number of firefighters and the extent of property damage.

Similarly, in the case of campaign spending and percentage of vote, factors such as the popularity of the incumbent member or the characteristics of the constituency (Z) could be influencing both variables.

In the case of coffee consumption and the risk of depression, other lifestyle or socioeconomic factors (Z) may be responsible for the observed relationship rather than coffee itself. And in the case of Presbyterian ministers' salaries and the price of rum, economic conditions or demand for rum (Z) in Havana could be driving both variables.

Identifying and controlling for confounding variables is crucial in research to ensure accurate interpretations of the relationship between X and Y. It allows researchers to isolate the true causal relationship between the variables of interest.

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This distance of 8.66 centimeters is the maximum separation of the tips of the hour and minute hands of an analog clock over a 24 hour period.

The distance between the two tips of the hands of an analog clock can be calculated with the Pythagorean Theorem. The difference in time between the two hands is 1 hour, or 15 degrees

1. Calculate the angle between the two hands:

1 hour = 15 degrees

2. Calculate the hypotenuse of the triangle formed by the two hands:

3 cm and 4 cm = 5 cm

3. Calculate the distance between the two tips using the cosine of the angle:

5 cm x 1.73= 8.66 cm

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Answer:

3 : 4, D

Step-by-step explanation:

Since the ratio is 9 : 12, simply put it in fraction form and simplify.

Answer:c

Step-by-step explanation:

Answer:

The last one

Step-by-step explanation:

The last one is the only one in standard form.

The pigeonhole principle states that if there are more pigeons than pigeonholes, then at least one pigeonhole must contain more than one pigeon. We can apply this principle to prove the following statements:

(a) Given any seven integers, there will be two that have a difference divisible by 6.

We can divide the integers into six pigeonholes based on their remainders when divided by 6: {0}, {1}, {2}, {3}, {4}, and {5}. Since there are seven integers, by the pigeonhole principle, at least two integers must belong to the same pigeonhole. If two integers belong to the same pigeonhole, then their difference will be divisible by 6.

(b) Given any five integers, there will be two that have a sum or difference divisible by 7.

We can divide the integers into six pigeonholes based on their remainders when divided by 7: {0}, {1}, {2}, {3}, {4}, {5}, and {6}. Since there are five integers, by the pigeonhole principle, at least two integers must belong to the same pigeonhole. If two integers belong to the same pigeonhole, then their sum or difference will be divisible by 7.

Note that if the two integers have the same remainder when divided by 7, then their difference will be divisible by 7. If they have different remainders, then their sum will be divisible by 7.

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