What is the simplified expression for 4 power 4 multiplied by 4 power 3 over 4 power 5? (1 point)

Solution is y = e^v, where v satisfies the linear equation v' + P(x) = Q(x)v(x).

To show that the substitution v = In y transforms the differential equation y' + P(x)y = Q(x)(ylny) into the linear equation v' + P(x) = Q(x)v(x), we need to substitute y = e^v into the original equation:
y' + P(x)y = Q(x)(ylny)
e^v dv/dx + P(x) e^v = Q(x) e^v
Now divide both sides by e^v:
dv/dx + P(x) = Q(x) v
This is the linear equation v' + P(x) = Q(x)v(x) that we were asked to show.
To solve the equation xy' – 4x²y + 2y In y = 0, we can use the substitution v = In y. Taking the derivative of v with respect to x, we get:
dv/dx = 1/y dy/dx
Substituting this and y = e^v into the equation, we get:
x(1/y dy/dx) e^v - 4x² e^v + 2e^v v = 0
Dividing both sides by e^v yields:
x(1/y dy/dx) - 4x² + 2v = 0
Now substitute v = In y back into the equation to get:
x(1/y dy/dx) - 4x² + 2In y = 0
Multiplying both sides by y and rearranging, we get:
xy' - 4x²y + 2y In y = 0
which is the original equation we started with.

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We can conclude that ΔMSP ≅ ΔRQP under SAS conditions.

So,

Given: MS ≅ RQ, MS || RQ

To Prove: ΔMSP ≅ ΔRQP

ΔMSP ≅ ΔRQP is proved.

Therefore, ΔMSP ≅ ΔRQP under SAS condition.

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Answer:

Pease check my assumptions.

Step-by-step explanation:

I will assume that f(x)=x2 is actually f(x) = x^2.

Same for g(x)=(12x)^2  [Is it g(x)=12x^2  ???]

See the attached image.

Note that (12x)^2 results in a narrower, steeper graph.   That's because (12x)^2 can be rewritten as 144x^2, so every value is multiplied by 144, compared to just x^2.

The coordinates of B when it is given that A(5,-2) and M(12,6) is (29, 14).

If M is the mid-point of line segment AB, and the coordinates of A = (5,-2) while the coordinates of B = (12,6), then the coordinates of M = (8.5,2), which is what you stated that you got.

You are provided with M = (12,6) so you need to identify the coordinates of B. So, just ask yourself how did I get from A to M ? The answer is move 7 right and 8 up since 5 + 7 = 12 while -2 + 8 = 6. All you have to do is add 7 more to the x-value and 8 more to the y-value to obtain the correct answer of (19,14).

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Find the coordinates of B when it is given that A(5,-2) and M(12,6),

Answer:

NO = 23

Step-by-step explanation:

ML and NO are equal. The property that creates that is SAS. The sides come from the Radii. The enclosed angle is given.

ML = NO

7x - 12 = 3x + 8                   Subtract 3x from both sides

7x - 3x - 12 = 3x-3x +8       Combine

4x - 12 = 8                          Add 12 to both sides

4x-12+12= 8+12                  Combine

4x = 20                              Divide by 4

4x/4 = 20/4

x = 5

Now you want to know what 3x + 8 =

3(5) + 8

15 + 8

23

Answer:

7 periods.

Step-by-step explanation:

The cosine function is periodic, meaning it repeats forever.

Standard form of a cosine function:

\(f(x) = A \cos(B(x + C)) + D\)

where:

Therefore, for y = cos x:

The maximum of the function is when x = 0 + 2πn.

The minimum of the function is when x = π + 2πn.

To find the number of periods, first find the difference between the two given values:

⇒ 9π - (-5π) = 9π + 5π = 14π

As the period of the function is 2π, then the number of periods is:

⇒ 14π ÷ 2π = 7 periods.

Answer:

you forgot the question

Step-by-step explanation:

Answer:

where is the question? we need the question lol

The correct options for analyzing the study using the methods for conducting a hypothesis test regarding two independent proportions are:

B. n1p11−p1≥10 and n2p21−p2≥10

E. The samples are independent.

Explanation:

A. The assumption of normal distribution is not required for conducting a hypothesis test regarding two independent proportions. Therefore, option A is incorrect.

C. The sample size being less than 5% of the population size for each sample is not a requirement for analyzing the study using the methods for conducting a hypothesis test regarding two independent proportions. Therefore, option C is incorrect.

D. The sample size being more than 5% of the population size for each sample is also not a requirement for analyzing the study using the methods for conducting a hypothesis test regarding two independent proportions. Therefore, option D is incorrect.

E. The independence of the samples is a crucial assumption for conducting a hypothesis test regarding two independent proportions. If the samples are not independent, then different methods need to be used. Therefore, option E is correct.

F. The samples being dependent is not consistent with the assumption for conducting a hypothesis test regarding two independent proportions. If the samples are dependent, different methods need to be used. Therefore, option F is incorrect.

The correct options are B and E.

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Answer:

It rises -4 and runs 6

Step-by-step explanation:

So the slope is -4/6

Answer:

y= -x+5

Step-by-step explanation:

The slope of the two parallel lines is equal

so, the slope of

y=-x-3 is -1

slope=y2-y1/x2-x1=-3-15/8--10=-1

the equation of the line is

y-15= -1(x--10)

y= -x-10+15

y= -x+5

Considering the expression of a line and parallel lines, you obtain, the correct answer is third option: the equation of the line that passes through the pair of points (-10,15) and (8, -3) is y= -x +5.

A linear equation o line can be expressed in the form y = mx + b

where

Knowing two points (x1, y1) and (x2, y2) of a line, the slope m of said line can be calculated using the following expression:

\(m=\frac{y2-y1}{x2-x1}\)

Substituting the value of the slope m and the value of one of the points in the expression of a linear equation, y = mx + b, the value of the ordinate to the origin b can be obtained.

Parallel lines are two lines that always maintain the same distance and if they were extended to infinity they would never touch.

That is, parallel lines are two or more lines that never intersect.

Parallel lines are characterized by having the same slope.

So, in this case, being (x1,y1)= (-10,15) and (x2,y2)= (8,-3), the slope m can be calculated as:

\(m=\frac{-3-15}{8-(-10)}\)

\(m=\frac{-18}{18}\)

m=-1

So, being y= -1x + b and considering point 1, you obtain:

15= -1×(-10) +b

15= 10 + b

15-10=b

5= b

So, the equation of the line is y=-1x + 5= -x +5

To know if this line is parallel to y +4= -(x - 1), in first place you must rearrange this second equation of a line:

y +4= -x +1

y=-x +1 -4

y= -x-3

You can see that both equations of a line have -1 as the slope value m.

Finally, the correct answer is third option: the equation of the line that passes through the pair of points (-10,15) and (8, -3) is y= -x +5.

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The independent variable in this study is the temperature of the water in each tank. The independent variable is the factor that is intentionally manipulated or changed by the researcher in order to observe its effect on the dependent variable. In this case, the researcher is testing the effects of habitat space on the size of fish populations, and they are manipulating the temperature of the water to see how it impacts the survival of the goldfish.

The researcher sets up four aquariums of the same size with six goldfish in each one. The independent variable, temperature, is kept different in each tank. This means that each tank is maintained at a different temperature throughout the experiment.

By manipulating the temperature in each tank, the researcher can observe how the different temperature conditions affect the survival of the goldfish. This allows them to determine whether the size of the fish populations is influenced by habitat space, as measured by the temperature of the water.

To summarize, in this study, the independent variable is the temperature of the water in each tank. The researcher is manipulating the temperature to observe its effect on the survival of the goldfish and determine the impact of habitat space on fish populations.

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Work Shown:

y = 15.6 - 3.8x

y = 15.6 - 3.8*3

y = 4.2

The most direct way to measure how dispersed a set of scores is, is by using the range. The range is calculated by subtracting the lowest score from the highest score in the dataset, which gives a quick and easy measure of the spread of the scores.

However, the range can be influenced by extreme scores and may not provide a complete picture of the variability. Other measures of variability, such as the standard deviation and variance, take into account the variability of all scores in the dataset and provide a more robust measure of variability.

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In conclusion  each game costs $10.20 and each ride costs $0.89.

How to solve?

Piper and Hunter went to a carnival and played games and went on rides. Piper played 5 games and went on 7 rides, spending a total of $43.75. Hunter played 10 games and went on 2 rides, spending a total of $27.50. We want to find the cost of each game (g) and the cost of each ride (r).

To solve this problem, we can set up two equations based on the given information and use algebra to solve for g and r. After solving for g and r, we find that the cost of each game is $10.20 and the cost of each ride is $0.89.

In simpler terms, Piper and Hunter spent different amounts of money on games and rides, and we want to figure out how much each activity costs. By using some equations and math, we can find out that each game costs $10.20 and each ride costs $0.89.

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Answer:

Step-by-step explanation:

x + 2) = 2(x + 2)2 - 6(x + 2)

           = 2(x2 + 4x + 4) - 6(x + 2)

           = 2x2 + 8x + 8 - 6x - 12

           = 2x2 + 2x - 4

Answer:

(12 x 7) feet2

Step-by-step explanation:

formula of area= length times breadth

The expression which describes the area of the bedroom is (12 x 7) square feet. The area is 84 square feet.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle is called the area of the rectangle. The rectangle has two sides one is the width and the other is the Length.

Given that Shenandoah's rectangular bedroom is 12 feet long and 7 feet wide.

The area of the rectangle is the product of its width and length.

Area = L x W

The expression for Shenandoah's bedroom area will be written as below:-

Area = 12 x 7

Area = 84 square feet

Therefore, the expression which describes the area of the bedroom is (12 x 7) square feet. The area is 84 square feet.

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The answer is x = 139.38 degrees.

To solve for x in the equation 3 tan(x+25)=-0.8391, we need to first isolate the tangent function on one side of the equation. To do this, we can divide both sides by 3, which gives us tan(x+25) = -0.2797.
Next, we need to find the angle whose tangent is equal to -0.2797. We can use a calculator or a trigonometric table to find the reference angle, which is approximately 15.62 degrees. However, we need to adjust for the fact that the tangent function is negative in the second and fourth quadrants of the unit circle.
Since we have tan(x+25) = -0.2797, and we know that the tangent function is negative in the second quadrant, we can subtract 180 degrees from the reference angle to get the actual angle in the second quadrant. This gives us x+25 = 164.38 degrees.
To solve for x, we can subtract 25 from both sides, which gives us x = 139.38 degrees. Therefore, x is approximately 139.38 degrees.
In conclusion, to find the value of x in the equation 3 tan (x+25) = -0.8391, we need to isolate the tangent function, find the reference angle whose tangent is equal to the resulting value, adjust for the sign of the tangent in the appropriate quadrant, and finally solve for x. The answer is x = 139.38 degrees.

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The correct statement is: b. The uncertainty will be larger in Study 1 than in Study 2.

This is because Study 2 used a larger random sample (100 cigarettes) compared to Study 1 (10 cigarettes), resulting in a more accurate estimate of the mean nicotine content and reduced uncertainty.

The uncertainty will be larger in study 1 than in study 2. This is because the sample size in study 1 is smaller than in study 2, which means there is more variability in the estimates due to the smaller sample size. In general, larger sample sizes lead to more precise estimates with less uncertainty.

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The value of a is 5 and the value of b is -25 in the polynomial f(x) = x³ + ax² - 5x + b that is divisible by x - 1 and has a remainder of -24 when divided by x + 3.

To find the value of a and b in the polynomial f(x) = x³ + ax² - 5x + b, we'll use the given information that f(x) is divisible by x - 1 and leaves a remainder of -24 when divided by x + 3.

When f(x) is divisible by x-1, it means that x-1 is a factor of f(x). Therefore, we can write f(x) as the product of x-1 and another polynomial:

f(x) = (x - 1) . g(x)

where g(x) is the other polynomial.

We can expand this equation:

x³ + ax² - 5x + b = (x - 1) . g(x)

Now, let's divide f(x) by x+3 and set the remainder equal to -24. We'll use polynomial long division to perform the division:

```

           x² + (4a - 1)x + (5a - b - 24)

x + 3  |  x³ + ax² - 5x + b

       - (x³3 + 3ax²)

         ------------

              (a - 5)x + b

           - ((a - 5)x + 3(a - 5))

         ---------------------

                     0

```

The remainder is 0, so we can set the expression for the remainder equal to zero and solve for a and b:

a - 5 = 0  ->   a = 5

(a - 5)x + b = 0  ->   b = -5a   ->  b = -5(5)  ->   b = -25

Therefore, the value of a is 5 and the value of b is -25.

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Answer:

Step-by-step explanation:

15) x should +ve

16) x should be -ve

Answer:

Explanation:

The standard form of an hyperbola is:

Where (h, k) are the coordinates of the center.

We are given the asyptotes and the foci.

The foci are (7, 0) and (7, 10)

The y value of the center of the parabola is midway from the two foci. Then, the y-coordinate of the center is 5

The coordinated of the center are (7, 5)

Now, we can use that the form of the asymptotes are:

We have:

Then:

a = 4

b = 3

Now we can write:

The numerator degree of freedom for the F test statistic to determine if the factor bread was significant would be 3.

This is because there are 4 different kinds of bread, but when conducting a two-way ANOVA test, one of the groups is always used as the reference group. Therefore, there are only 3 groups of bread that are being compared to each other. The denominator degree of freedom would be 56 (60 total samples minus 4 groups of bread and 5 groups of meat).

The F test statistic would determine if there is a significant difference in revenues between the different kinds of bread, while also controlling for the effect of the different kinds of meat.

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The equation that can be used to determine the volume of the sphere is 4/3π10³

A sphere is a three-dimensional object in which points from its center to its circumference is equidistant.

Volume of a sphere = 4/3πr³

Where:

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Answer:

2/h

Explanation:

Given that a tank can be filled in h hours, to determine what part of the tank can be filled in 2 hours, all we need to is divide 2 by h.

Therefore, 2/h part of the tank will be filled in 2 hours.

Answer:

Third option.

Step-by-step explanation:

\(5-2\left(3x-9\right)=-1\)

Use the distributive law: \(a(b-c)=ab-ac\)

\(5-2\times3x-\left(-2\right)\times9=-1\)

Double negative = Positive

\(5-6x+18=-1\)

Answer:

2-(3x-4) = 2x -9

-6x + 8 = 2x - 9

6x = 17

x = 2.833

3 approximately

Using percentages we know that blue is 18.52% of the total percentage.

A percentage is a figure or ratio stated as a fraction of 100 in mathematics.  

A % is a quantity or ratio that, in mathematics, represents a portion of one hundred.

A dimensionless relationship between two numbers can be represented in a variety of ways, such as through ratios, fractions, and decimals.

The symbol "%" is frequently written after the number to indicate percentages.

So, find the percentage of blue as follows:

= 105 + 220 + 50 + 75 = 405

The blue percentage would be:

= 75/405 * 100

= 18.52

Therefore, using percentages we know that blue is 18.52% of the total percentage.

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The cosine of angle J is given as follows:

\(\cos{J} = \frac{14\sqrt{2}}{49}\)

The three trigonometric ratios are the sine, the cosine and the tangent of an angle, and they are obtained according to the rules presented as follows:

For the angle J in this problem, we have that:

Hence the cosine of angle J is given as follows:

\(\cos{J} = \frac{4}{\sqrt{98}} \times \frac{\sqrt{98}}{\sqrt{98}}\)

\(\cos{J} = \frac{4\sqrt{98}}{98}\)

\(\cos{J} = \frac{2\sqrt{98}}{49}\)

As 98 = 2 x 49, we have that \(\sqrt{98} = \sqrt{49 \times 2} = 7\sqrt{2}\), hence:

\(\cos{J} = \frac{14\sqrt{2}}{49}\)

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Answer:

Mrs. Habib will have 22.25 feet of border left after she puts border around the board.

Step-by-step explanation:

You must find the perimeter of the board and subtract it from the amount of border she has to find how much she will have left after she uses it. The formula for perimeter is \(P=2(l+w)\), where \(l=\) the length of the board, and \(w=\) the width of the board. You will add those together and multiply them by 2 because there are 4 sides to a rectangle. That means this equation will look like:

\(P=2(8.25+3.75)\)

Now you can just solve for the perimeter.

\(P=2(12)\)

\(P=24\)

The perimeter is 24 feet. That means it will take 24 feet of border to cover her board. In order to find out how much she'll have left over, just subtract 24 from the total amount of border she has.

\(46.25-24=22.25\)

Therefore Mrs. Habib will have 22.25 feet of border left over after she covers the bulletin board.