(x-4)/(y+2)=5

i need anwser

The area is given by the integral

\(\displaystyle A=2\pi\int_Cx(t)\,\mathrm ds\)

where C is the curve and \(dS\) is the line element,

\(\mathrm ds=\sqrt{\left(\dfrac{\mathrm dx}{\mathrm dt}\right)^2+\left(\dfrac{\mathrm dy}{\mathrm dt}\right)^2}\,\mathrm dt\)

We have

\(x(t)=t+\sqrt 2\implies\dfrac{\mathrm dx}{\mathrm dt}=1\)

\(y(t)=\dfrac{t^2}2+\sqrt 2\,t+1\implies\dfrac{\mathrm dy}{\mathrm dt}=t+\sqrt 2\)

\(\implies\mathrm ds=\sqrt{1^2+(t+\sqrt2)^2}\,\mathrm dt=\sqrt{t^2+2\sqrt2\,t+3}\,\mathrm dt\)

So the area is

\(\displaystyle A=2\pi\int_{-\sqrt2}^{\sqrt2}(t+\sqrt 2)\sqrt{t^2+2\sqrt 2\,t+3}\,\mathrm dt\)

Substitute \(u=t^2+2\sqrt2\,t+3\) and \(\mathrm du=(2t+2\sqrt 2)\,\mathrm dt\):

\(\displaystyle A=\pi\int_1^9\sqrt u\,\mathrm du=\frac{2\pi}3u^{3/2}\bigg|_1^9=\frac{52\pi}3\)

The irrational number in the given options is √11

Irrational numbers are set of all real numbers in mathematics that are not rational numbers in nature. By the word rational, we mean that they cannot be expressed or represented in a fraction of a/b.

where;

In other words, it is impossible to describe an irrational number as the ratio of two integers.

From the given options, the square root of 11 is the only number that cannot be expressed as a fraction, therefore, we can conclude that it is considered the only irrational number in the given options.

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Answer:

6x^2+ 19x+8

Step-by-step explanation:

(3x+8)(2x+1) use foil method which gives you,

6x^2+16x+3x+8 then combine like terms which gives you,

6x^2+ 19x+8.

Answer:

a is your correct answer

Answer:

40.42 ounces.

Step-by-step explanation:

Initial volume of water: 58 ounces

"A group of blue jays came by and drank 3.18 ounces", it means that they substracted 3.18 ounces, therefore we do the following:

58 ounces - 3.18 ounces= 54.82 ounces.

After that, "...a vulture swooped in and drank fourteen and two fifths ounces of the water", this means that 14 ounces + 2/5 ounces were substracted from the bath.

As for right now, there are 54.82 ounces, let's calculate how much there was after the vulture passed by:

54.82 ounces - 14 ounces= 40.82 ounces.

40.82 ounces - 2/5 ounces, let's convert the fraction to a decimal and substract:

40.82 ounces - 0.4 ounces= 40.42 ounces.

Therefore, the final volume of water remaining in the bath is 40.42 ounces.

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

This problem could be solved by adding up all the substractions and substracting the total amount from the initial volume of water in the bath. This would be the operation:

58 - (3.18 + 14 + 2/5)=

58 - (3.18 + 14 + 0.4)=

58 - (17.58)=

40.42 ounces.

Answer:

987

Step-by-step explanation:

Clue 4: There is no 2, 4, 5.

Clues 1 & 2: There is no 1.

7 must be on the right.

_ _ 7

Clue 5: 9 is in the first or second place

9 _ 7   or   _ 9 7

937 or 987 or 397  or 897

Try all 4 possibilities above through all 5 clues.

Only 987 works.

Answer: 987

Answer:

r=8

Step-by-step explanation:

56=7r

first I simplified the equation to the form, which is simple to understand

56=7r

Then I move all terms containing r to the left and all other terms to the right.

-7r=-56

Next I simplified the left and right the side of the equation.

-7r=-56

Then i divided both sides of the equation by -07 to get r.

r=8

Answer:

-6

Step-by-step explanation:

|3-6|=3

12÷6+1=3

3×3=9

3-9=-6

Answer:

-6

Step-by-step explanation:

===========================================

Explanation:

The domain is the set of allowed x inputs. We can plug in any x value we want as the graph stretches on forever to the left and to the right. There aren't any division by zero errors or any issues like that to worry about, so that's why we don't kick out any x values from the domain.

The domain being all real numbers translates to the interval notation \((-\infty, \infty)\) which is basically saying \(-\infty < x < \infty\)

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

The range is the set of y outputs possible. The graph shows that y = 1 is the smallest y output, so y = 1 or y can be greater than this.

In short, \(y \ge 1\) is the range which converts to the interval notation \([1, \infty)\) which is the same as saying \(1 \le y < \infty\)

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

Extra info:

The equation of this absolute value function is y = |x|+1

Answer:

a. Marks = 10, 13, 14, 16, 18, 18

b. mode = 18

c. Range = 8

Step-by-step explanation:

==>Given the following data set arranged in ascending order:

10, 13, 3x-1, 3x+1, 18, 18

Median = 15

==>Required:

a. Marks:

To get each marks, let's find the value of x since we know median to be 15.

10, 13, [3x-1, 3x+1], 18, 18

Our median in this even number of data set would be the average of the 2 middle values which would give us 15.

Thus, we have:

[(3x-1) + (3x+1)] ÷ 2 = 15

[3x-1 + 3x+1] ÷ 2 = 15

[3x+3x-1+1] ÷ 2 = 15

6x/2 = 15

Multiply 2 by both sides

6x = 30

Divide 6 by both sides

x = 5

Now let's plug in the value of x to get out marks:

10, 13, 3(5)-1, 3(5)+1, 18, 18

10, 13, 14, 16, 18, 18

b. Mode is the most appeared data value, which is 18

c. Range is the difference between the highest and lowest value = 18 - 10 = 8

Answer:

8 times 2 equals 16 ml

hope this helps

The system Y = -2x + 3 is a linear equation that shows how y changes depending on x.

A linear equation is an equation of a straight line written in the form of y = mx + b.

In a linear equation or function, m is the slope, and b is the y-intercept, and it shows how the dependent variable, y, changes as the input (independent variable), x, changes by a constant rate (slope).

When m < 0, the line goes down from left to right. When m = 0, the line is horizontal. A bigger absolute value of the slope, m, increases the steepness of the line.

The y-intercept b determines the value of y when x = 0.

The slope, m = -2

The y-intercept, b = 3

For example, if x = 6, y = -2(6) + 3 = -9.

Thus, the equation y = -2x + 3 is linear.

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What system is Y = -2x + 3?

The probability that the randomely selected fertilized egg will hatch between 15 days to 17 days as 0.5.

The probability of an event is a number that indicates how likely the event is to occur.

It is expressed as a number in the range from 0 and 1 or it can be expressed using percentage notation, in the range from 0% to 100%

Given is that the probability of a randomely selected fertilized egg will take 21 days to hatch is 0.028.

We can write the probability that the randomely selected fertilized egg will hatch between 15 days to 17 days as -

P{E} = {0.028 + (1 - 0.028)}/2

P{E} =  1/2

P{E} = 0.5

Therefore, the probability that the randomely selected fertilized egg will hatch between 15 days to 17 days as 0.5.

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Answer:

y = \(\frac{3}{4}\) x - \(\frac{1}{2}\)

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 6, - 5) and (x₂, y₂ ) = (2, 1) ← 2 points on the line

m = \(\frac{1-(-5)}{2-(-6)}\) = \(\frac{1+5}{2+6}\) = \(\frac{6}{8}\) = \(\frac{3}{4}\) , then

y = \(\frac{3}{4}\) x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2, 1 ) , then

1 = \(\frac{3}{2}\) + c ⇒ c = 1 - \(\frac{3}{2}\) = \(\frac{2}{2}\) - \(\frac{3}{2}\) = - \(\frac{1}{2}\)

y = \(\frac{3}{4}\) x - \(\frac{1}{2}\) ← equation of line

Answer:

a(n) = 1 + 7(n-1)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The problem specifies that you may use a calculator. The formula, as reference, is:

You can use a regular calculator or an online spreadsheet to solve. In sheets, arrange your data and use the =PERCENTILE( ) function. In the parentheses, write the range of your data and the requested percentile as a decimal. So if I type the data (the ages of the signers for this example) in cells A:4 through A:23, I'd write =percentile(A7:A23,0.25).

So the answers:

25th percentile is 34.

80th percentile is 48.4.

If Point A is located at (1, 2) and Point B is located at (4, 6), the length of the line between points A and B is 5 units.

To determine the length of the line between points A and B, we can use the distance formula, which is a formula used to calculate the distance between two points in a coordinate plane. The distance formula is:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points and d is the distance between them.

Using the coordinates of points A and B, we can substitute their values into the distance formula to find the length of the line between them:

d = √((4 - 1)² + (6 - 2)²)

d = √(3² + 4²)

d = √(9 + 16)

d = √25

d = 5

Rounded to the nearest whole number, the length of the line is also 5 units.

In conclusion, we can use the distance formula to find the length of the line between two points in a coordinate plane. The distance formula uses the coordinates of the two points to calculate the distance between them. The resulting distance can be rounded to the nearest whole number, if needed.

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The area of the enclosed shape is about 14.47 km^2.

We are given that;

056° for 9.8km and  3.5 km on a bearing of 112°

Now,

We can see that the enclosed shape is a triangle with sides 9.8 km, 3.5 km, and z km, and angles 56°, 112°, and y°. We can use the fact that the sum of angles in a triangle is 180° to find y:

y = 180° - 56° - 112°

y = 12°

Now we can use the cosine rule to find z:

z^2 = 9.8^2 + 3.5^2 - 2(9.8)(3.5)cos(12°)

z^2 ≈ 101.87

z ≈ 10.09

Therefore, Fred is about 10.09 km away from his start point.

To find the area of the enclosed triangle, we can use the sine rule to find x, the height of the triangle:

sin(56°) = x/9.8

x = 9.8 sin(56°)

x ≈ 8.27

The area of a triangle is given by half the base times the height, so:

A = (1/2)(3.5)(8.27)

A ≈ 14.47

Therefore, by trigonometric ratios the answer will be 14.47 km^2.

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The inverse of f(x) = x^(7/9) using exponential notation is f(x) = x^(9/7)

An inverse function in mathematics is a function that "undoes" another function.

In other words, if f(x) yields y, then y entered into the inverse of f yields the output x.

An invertible function is one that has an inverse, and the inverse is represented by the symbol f⁻¹.

The given function is of the form

f(x) = x^(7/9), this is equivalent to ⁹√x⁷

say f(x) = y, then

f(x) = y = x^(7/9)

y = x^(7/9)

solving for the inverse, of y = x^(7/9)

y = x^(7/9)

y^(9/7) = x

interchanging the letters

y = x^(9/7)

hence the inverse function is solved to be f⁻¹(x) = x^(9/7)

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The cost of one ft² of grass sod is $3 and the cost of one shrub is $10.

Let the cost of grass be g and the cost of shrubs be s.

Pranav spent $90 on 10 ft² of grass sod and 5 shrubs. Thus, the equation that portrays this is;

10g + 5s = 90   -----(1)

Paul spent $50 on 5 ft² of grass sod and 3 shrubs. Thus, the equation that portrays this is;

5g + 3s = 50   ------(2)

Multiply eq 2 by 2 to get;

10g + 6s = 100   -----(3)

Subtract eq 1 from eq 2 to get;

s = 10

Put 10 for s in eq 1 to get;

10g + 5(10) = 90

10g = 40

g = 4

Thus, we conclude that the cost of grass sod and shrubs are the values of s and g above.

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Answer: pretty sure it’s because the left and bottom sides add up to equal the top side

Step-by-step explanation:

Answer:

  (x -7)² = 100

Step-by-step explanation:

You want to rewrite the equation x² -51 = 14x by completing the square.

When we're finished, the equation will be of the form ...

  (x +a)² = b

Expanding this, we have ...

  x² +2ax +a² = b

That is, the value of 'a' is half the coefficient of x when the equation is written with the x-terms together.

Adding 51 -14x to both sides of the given equation, we get ...

  x² -51 = 14x

  x² -14x = 51

Now, we can see that a=-14/2 = -7. We can add a² = (-7)² = 49 to both sides to complete the square:

  x² -14x +49 = 51 +49

  (x -7)² = 100 . . . . . . . rewritten equation

Answer:

Explanation:

Step 1. The information given is:

• She initially has 600 in a savings account.

• She wants to have AT LEAST 300 by the end of the summer.

• She withdraws 25 each week.

Required: Find the inequality that represents the situation.

Step 2. The initial amount is:

To that, she will be subtracting 25 each week.

Let 'w' be the number of weeks, the amount she withdraws is:

Step 3. After the withdrawals, the amount in her savings account is:

Step 4. Since she wants the final amount to be AT LEAST 300, we represent this using an inequality:

Answer:

Answer:

Bodied

Step-by-step explanation:

Ahhh

Answer:

Hmmmmm I’m not 100% sure if it is c or a. That’s the possible answers. I but I think it’s a I’m not 100% sure tho.

Step-by-step explanation:

The measure of the arc opposite to 189° is 136°.

Secant lines are lines that intersect a curve at two distinct points. They are used to approximate the slope of the curve by measuring the change in the y-coordinate of the two points divided by the change in the x-coordinate of the two points.

The measure of the angle opposite to 189° is x.

To solve for x, we can use the property of alternate interior angles.

The sides of the two secant lines that intersect outside the circle form alternate interior angles whose measures are equal.

Therefore, the two angles formed by the secant lines inside the circle must have the same measure.

Therefore, 53° + x° = 189°.

Subtracting 53° from both sides, we get x° = 136°.

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Answer:

688

Step-by-step explanation:

For delta math

The z-statistic test was conducted to determine the Deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.

Report on the Analysis of American Airlines (Domestic) PerformanceThe quantitative analysis focused on three variables- load factors, revenue passenger miles, and available seat miles for American Airlines.

The Bureau of Transportation Statistics data for domestic flights from January 2006 to December 2012 was retrieved for the analysis. The quantitative analysis also focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. The results of the data are summarized in Table 2. Revenue Passenger Miles (RPM) mean is 6,624,897, the median is 6,522,230, and mode is NONE. The minimum is 5,208,159 and the maximum is 8,277,155. The standard deviation is 720,158.571, and the variance is 518,628,367,282.42.

Load Factors (LF) mean is 82.934, the median is 83.355, and mode is 84.56. The minimum is 74.91, and the maximum is 89.94. The standard deviation is 3.972, and the variance is 15.762. The Available Seat Miles (ASM) mean is 7,984,735, the median is 7,753,372, and mode is NONE. The minimum is 6,734,620, and the maximum is 9,424,489. The standard deviation is 744,469.8849, and the variance is 554,235,409,510.06.Figure 1 above displays the performance of American Airlines (Domestic).

The mean RPM is 7,984,735, and the linear regression line is y = 50584x - 2.53E+8. The linear regression line indicates a positive relationship between RPM and year, with a coefficient of determination, R² = 0.6806. A coefficient of determination indicates the proportion of the variance in the dependent variable that is predictable from the independent variable. Therefore, 68.06% of the variance in RPM is predictable from the year. A one-way ANOVA analysis of variance test was conducted to determine the equality of means of three groups of variables; RPM, ASM, and LF. The null hypothesis is that the means of RPM, ASM, and LF are equal.

The alternative hypothesis is that the means of RPM, ASM, and LF are not equal. The level of significance is 0.05. The ANOVA results indicate that there is a significant difference in means of RPM, ASM, and LF (F = 17335.276, p < 0.05). Furthermore, a post-hoc Tukey's test was conducted to determine which variable means differ significantly. The test indicates that RPM, ASM, and LF means differ significantly.

The skewness test was conducted to determine the symmetry of the distribution of RPM, ASM, and LF. The test indicates that the distribution of RPM, ASM, and LF is not symmetrical (Skewness > 0).

Additionally, the z-statistic test was conducted to determine the deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.

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Answer:

10/91

Step-by-step explanation:

There are 14 candies in the bag so the amount of ways possible to choose two of them is 14 * 13 = 182. There are 5 * 4 = 20 ways to choose two green ones so the probability is 20 / 182 = 10 / 91.

Answer:

12%

Step-by-step explanation:

im not sure so sorry if wrong

The probability of choosing a ten, a nine, an eight, or a seven in order is 3.9 10⁻⁵.

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of sample

Given that 4 cards are chosen at random from a deck of 52 cards without replacement.

The probability of choosing a ten, a nine, an eight, or a seven in order is calculated as,

Probability = ( 4 / 52 ) x ( 4 / 51 ) x ( 4 / 50 ) x ( 4 / 49 0

Probability = 3.9 x 10⁻⁵

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