Use the distributive Property to find 5x97 I NEED ANSWERS NOW PLEASE!!

The derivative dy/dx of the equation ysin(x^2) = xsin(y^2) is given by (sin(y^2) - ycos(x^2)2x) / (sin(x^2) - 2yxcos(y^2)).

In the given equation, y and x are both variables, and y is implicitly defined as a function of x. To find dy/dx, we differentiate each term using the chain rule and product rule as necessary.

Differentiating the left-hand side of the equation, we apply the product rule to ysin(x^2). The derivative of ysin(x^2) with respect to x is dy/dxsin(x^2) + ycos(x^2)*2x.

Differentiating the right-hand side of the equation, we apply the product rule to xsin(y^2). The derivative of xsin(y^2) with respect to x is sin(y^2) + x*cos(y^2)2ydy/dx.

Now we have two expression for the derivative of the left and right sides of the equation. To isolate dy/dx, we can rearrange the terms and solve for it.

Taking the derivative of ysin(x^2) = xsin(y^2) with respect to x using implicit differentiation yields:
dy/dxsin(x^2) + ycos(x^2)2x = sin(y^2) + xcos(y^2)2ydy/dx.

By rearranging the terms, we can solve for dy/dx:
dy/dx * (sin(x^2) - 2yxcos(y^2)) = sin(y^2) - y*cos(x^2)*2x.

Finally, we can obtain the value of dy/dx by dividing both sides by (sin(x^2) - 2yxcos(y^2)):
dy/dx = (sin(y^2) - ycos(x^2)2x) / (sin(x^2) - 2yxcos(y^2)).

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To empty the tank in the shape of prism completely, Colin has to wait 150 minutes for the water of the pond to at zero level.

What is the prism volume formula?

Given :

A pond in the shape of a prism.

Colin uses a pump to empty the pond. The level goes down by 20 cm in the first 30 minutes.

Solution :

We know that the volume of the prism is given by,

Volume = ( Base area ) × height

Base area = 1/2 ( 1.4 + 0.6 ) × 2    ⇒2 m²

Volume  = 2 × 1 = 2m³

Given that the level of pond goes down by 20 cm in the first 30 minutes. Therefore, the volume becomes,

Volume = 2 × 0.8 = 1.6m³

Now, the rate of emptying the tank is,

\(= \frac{2 - 16}{30} = \frac{1}{75}\)  m³/min

time = volume / rate

        = \(\frac{2}{\frac{1}{75} }\)  = 150

Therefore, Colin has to wait 150 minutes for the pond to completely empty

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Since GM is tangent tο circle O at pοint G, the intercepted arc GE has measure zerο. ,then ∠SGM = 84°.

Secant line is alsο knοwn as average rate οf change οf functiοns between twο pοints and alsο called slοpe.

the tangent line is perpendicular tο the radius that passes thrοugh the pοint οf tangency. Therefοre, we have:

m∠MGS = 90°

Alsο, we knοw that the measure οf an angle fοrmed by a tangent line and a secant line that intersect οutside the circle is half the difference οf the intercepted arcs.

m∠SGM = 1/2 (mSE - mGE)

where SE is the intercepted arc by secant GS, and GE is the intercepted arc by tangent GM.

Since GM is tangent tο circle O at pοint G, the intercepted arc GE has measure zerο.

mSE = 2mGS

mSE = 2(84°) = 168°

m∠SGM = 1/2 (mSE - mGE) = 1/2 (168° - 0°) = 84°

Therefοre, m∠SGM = 84°.

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Answer:About 6.5

Step-by-step explanation:

2 meters is the equivilent of 78.7402. Keeping at 78 you then divide by the 12 inch sandwhiches giving you 6.5  

After the 10th iteration, the estimated value of the root obtained by the bisection method is approximately 0.517. Option B

To solve the equation cos(x) - x * e = 0 in the interval [0, 1] using the bisection method, we start by checking the function values at the endpoints of the interval.

For x = 0:

cos(0) - 0 * e = 1 - 0 = 1

For x = 1:

cos(1) - 1 * e ≈ 0.54 - 2.72 ≈ -2.18

Since the function values at the endpoints have opposite signs, we can apply the bisection method to find the root within the interval.

The bisection method involves repeatedly dividing the interval in half and checking the function value at the midpoint until a sufficiently accurate approximation is obtained. In this case, we will perform 10 iterations.

After the 10th iteration, the estimated value of the root obtained by the bisection method is approximately 0.517.

Therefore, the correct answer is OB) 0.517.

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In a bimodal histogram, the two highest bars will have the same height.

The above statement is TRUE that is n a bimodal histogram, the two highest bars will have the same height.

A histogram is said to be bimodal if it has two peaks. The only defining characteristic about this distribution is that it has 2 peaks of the same height. Bimodality sometimes occurs when the data set consists of observations from two different group of individuals. If this shape occurs, the two sources should be separated and analysed separately.

A bimodal histogram shape often reflects the presence of two different processes being "mixed" in the displayed data. For example, the data could contain information from two different machines, two shifts, weekdays and weekends, two offices, etc.

In some cases bimodal histogram indicates that the sample can be divided into two sub samples that differ from each other in some way.

Thus in a bimodal histogram, the two highest bars will have the same height.

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Answer:

(1,-2)

Step-by-step explanation

y = -3x + 1

y = 2x - 4

-3x + 1 = 2x - 4

-5x + 1 = -4

-5x = -5

x = 1

y= 2(1) - 4

y = 2 - 4

y = -2

(1,-2)

Answer:

1/2

Step-by-step explanation:

Answer:

A. -18*10^6

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Answer:

25 is the 14th term.

Step-by-step explanation:

The nth term of a sequence is given by the following explicit rule:

f(n) =5.5n - 52

We need to find the position n of the term of value 25. In other words, find n in the equation:

5.5n - 52=25

Adding 52:

5.5n =25+52=77

Solving:

n=77/5.5

n=14

25 is the 14th term.

Answer:

5:15 simplified is 1:3

Hope this helps!

Answer:

5:15 simplified (or divided by 5) is 1:3

Step-by-step explanation:

8/19 or 42.1%

add all values up to a total, then find the percentage from that total.

8 + 2 + 1 + 3 + 5 = 19 balls total

8 tennis valls to 19 total.

8/19 or 42.1%

Answer:

(1/2)(32 ft/sec^2)((7 sec)^2)

= (16 ft/sec^2)(49 sec^2)

= 784 feet

Height = 112 feet.

To find the height of the window, we can use the following kinematic equation for motion with constant acceleration:

y = yo + voyt + ½at²

Here, y is the final height of the ball above the ground, yo is the initial height of the ball (which is the height of the window in this case), voy is the initial velocity of the ball (which is 0 because the ball is dropped from rest), t is the time taken for the ball to hit the ground (which is 7 seconds), and a is the acceleration due to gravity (which is 32 ft/s²).

Substituting the values, we have:y = yo + 0 + ½(32)(7)

Simplifying the expression, we get:y = yo + 112

Thus, the height of the window (in feet) is given by:y = 112 feet

Answer: Height = 112 feet

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Answer:How much to pay after getting a 10% discount = $1,350

Step-by-step explanation: Discount simply mean reduction in prices of something in a given percentage of its actual price. So, how much to pay after getting a 10% discount will be = actual price - discountWhere discount = discount percentage * actual price.

Since we know: Actual price of the motorbike = $1,500Discount = 10% of actual priceDiscount = 10% of 1500 = 10/100 * 1500

Discount = 150 how much to pay after getting a 10% discount = 1500 - 150 = $1,350

The perimeter of the triangle with given dimension is 36 m.

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted Δ ABC.

Here, Assume that shorter leg = x cm

         then, the longer leg = (x+3) cm and slope = (x+6) cm

By Pythagoras theorem,

     x² + (x+3)² = (x+6)²

      x² + x² + 9 + 6x = x² + 36 + 12x

      x² - 6x - 27 = 0

       x² - 9x + 3x -27 = 0

      x(x-9) +3(x-9) = 0

       (x-9) (x+3) = 0

       x = 9 or x = -3

but x can't be negative.

so we take x = 9.

The perimeter = Sum of all side

        P = (x + x+3 + x+6)

        P = 3x + 9

       P = 3 X 9 + 9

       P = 27 + 9

        P = 36

Thus, the perimeter of the triangle with given dimension is 36 m.

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Answer:

0.631

Step-by-step explanation:

The probability that the retailer sells no more than one house in a month is 0.60.

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes and how likely they are to happen. The analysis of events governed by probability is called statistics.

The given is a probability distribution. The probability density function or PDF of the probability is defined for the random variable x, where x ranges from 0 less than or equal to x less than or equal to 2 ie the range of x is from 0 to 2 with 0 and 2 inclusive.

x    :      0          1           2

p(x):   0.20    0.40     0.40

The probability that the retailer sells no more than one house in a month is given by

P(x less than or equal to one) = P(0) + P(1)

=0.20 + 0.40 = 0.60.

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The value of x in 1 1/8=2 1/4x by using inverse operation is 1 / 2.

Addition and subtraction, multiplication, and division are examples of inverse operations, which are pairs of mathematical operations where one operation reverses the effects of the other.

Given:

1 1/8=2 1/4x

Solve the above equation by using the inverse operation.

Solve the mixed fraction into improper fractions as shown below,

9 / 8 = 9 / 4 x

x = 9 / 8 × 4 / 9

x = 1 / 2

Therefore, the value of x in 1 1/8=2 1/4x by using inverse operation is 1 / 2.

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Answer:  (- 2h + 1) + 2(3h - 4) = 4h -7

Step-by-step explanation:

First, remove unnecessary parentheses

- 2h + 1 + 2(3h - 4)

then distribute 2 through the parentheses

- 2h + 1 + 2(3h - 4) = -2h + 1 + 6h -8

Combine like terms

-2h + 1 + 6h -8 = 4h + 1 - 8

1-8= 7

So the answer is

4h - 7

The number of possible king-queen pairs can be determined by multiplying the number of candidates for king by the number of candidates for queen.

To calculate the number of king-queen pairs, we multiply the number of candidates for king by the number of candidates for queen. In this case, there are four candidates for homecoming queen and three candidates for king. Therefore, the total number of king-queen pairs would be 4 multiplied by 3, which equals 12.

Each candidate for king can be paired with each candidate for queen, resulting in multiple possible combinations. By multiplying the number of candidates for each position, we account for all possible pairings. In this scenario, there are three potential kings and four potential queens. For each king, there are four possible queens he can be paired with. Since there are three kings, we multiply 3 by 4 to get the total number of 12 king-queen pairs.

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The chi-square goodness-of-fit test can provide information on categorical data match an expected distribution and which categories are contributing to any deviation from that distribution.

The chi-square goodness-of-fit test is a statistical test used to determine whether a set of observed categorical data matches an expected distribution. Specifically, the test compares the observed frequencies of each category to the expected frequencies based on a hypothesized distribution, and calculates a chi-square statistic. This statistic measures the degree of difference between the observed and expected frequencies, with larger values indicating greater deviation from the expected distribution. If the chi-square statistic is large enough to reject the null hypothesis (i.e., the observed data do not match the expected distribution), the test can provide information on which categories are contributing the most to the discrepancy. This can help identify which categories are over-represented or under-represented in the observed data, and can inform further investigation into potential causes of the deviation. In summary, the chi-square goodness-of-fit test can provide information on whether observed categorical data match an expected distribution and which categories are contributing to any deviation from that distribution.

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Answer:

0.81

Step-by-step explanation:

\(0.01 \times {3}^{4} = 0.01 \times 81 = 0.81\)

Given that

U = {X : 30 ≤ X ≤ 40. X is an even number}.

so Mathematically

U = {30,32,34,36,38 40}.

P = {X : X is a multiple of 4}

P = { 4,8,12,16,20,24,28,32,36,40,44,........}

and Q = {X : X is a number such that the sum of its digits is an odd number}.

Q = {12,14,16,18,21,23,25,27,29,30,32,34,36,38,41,43,45,..........}.

(Q')= U-Q  ={40}

(P∩Q')= {40}

n(P∩Q')= 1

(Q') is Q complement which means a set containing those elements of the universal set which are not element of the set Q.

(P∩Q') is a set containing those elements of set P and Q complement which are common to both sets.

n(P∩Q') denotes the number of elements in a set containing those elements of set P and Q complement which are common to both sets which  has only 1 element which is 40.

So the best answer is part A = 1.

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184 people

groups of 13

How many vans needed to take the people to the hotel.

\( \frac{184}{13} \)

\( = 14.1538461538\)

\(nearest \: whole \: number = 14\)

therefore, they'll need 14 vans to take the people to the hotel.

answer= option B

Answer: Three terms

Step-by-step explanation:

This is a trinomial, since there are three numbers. Since it is a trinomial, there are three terms.

Answer:

The correct answer is 4.

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Answer:

Step-by-step explanation:

the way it is written, the answer is

5x^2 - 6x + 2 + 19x - 7

5x^2 + 13x - 5    is the answer.

However I suspect you mean

5x^2 - 6x + 2 + 9x^2 + 10x - 7

14x^2 + 3x - 5    is the answer if the revision I've made is correct.