what is x^2+y^2-16x+20y-5=0 in standard form

Answer:

c

Step-by-step explanation:

the surface area for spheres is

4 × π × r²

4 × π × (7²) = 196 π

The value of y is 18

Similar triangles have the same corresponding angle measures and proportional side lengths. The angles of the two triangle must be equal and it not necessary they have equal sides.

Therefore the corresponding angles of similar triangles are congruent and the ratio of corresponding sides of similar triangles are equal.

Therefore;

14/21 = 12/y

14y = 21 × 12

14y = 252

divide both sides by 14

y = 252/14

y = 18

Therefore the value of y is 18.

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The solution to the equation 125x³ - 27 = 0 is (5x−3)(25x ^2 +15x+9)

An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra. Algebra is used in mathematics when you do not know the exact number in a calculationsolving the equation 125x³ - 27 = 0 by grouping

Rewriting 125x^ 3 −27 as (5x) ^3 −3³

The difference of cubes can be factored using the rule:: a ^3 −b^ 3 =(a−b)(a^ 2 +ab+b^ 2 )

Polynomial 25x^ 2 +15x+9 is not factored since it does not have any rational roots.

Hence, (5x−3)(25x ^2 +15x+9)

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Using simple division we know that the acceleration per second is 11.54 m/s.

Multiplication is the opposite of division.

If 3 groups of 4 add up to 12, then 12 divided into 3 groups of equal size results in 4 in each group.

Creating equal groups or determining how many people are in each group after a fair distribution is the basic objective of division.

The division is a mathematical process that includes dividing a sum into groups of equal size.

For instance, "12 divided by 4" translates to "12 shared into 4 equal groups," which would be 3 in our example.

So, to find the acceleration per second:

We need to perform division as follows:

= 27.7/2.4

= 11.54

Therefore, using simple division we know that the acceleration per second is 11.54 m/s.

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The number of degrees moved by the minute hand of a clock in 2/3hours is 240°

Angles around a point describes the sum of angles that can be arranged together so that they form a full turn. Angles around a point add to 360 °.

The hand of minute will move 360° to complete an hour.

If a full round will make angle at a point. Which is 360°

Therefore 2/3 of an hour will give an angle of 2/3 of 360°

= 2/3 × 360

= 240°

therefore the number of degrees moved by the minute hand in 2/3 hour is 240°

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Answer:

2

Step-by-step explanation:

Cancel w^12

6/3

=2

Answer:

7x - 8y = -23

Slope = 1.750/2.000 = 0.875

x - intercept = -23/7 = 3.28571

y - intercept = 23/8 = 2.87500

7x - 7y = -14

Slope = 1

x - intercept = -2/1 = -2.00000

y - intercept = 2/1 = 2.00000

Answer:

  see below

Step-by-step explanation:

First of all, you want to find the data set the matches the extreme values of 5 and 35. That eliminates the 2nd and 4th choices.

Then you want to find the data set that has a median of 15. The first data set has a middle value (median) of 20, so that choice is eliminated.

The data set of the 3rd choice matches the box plot extremes, median, and quartile values.

Answer:

The third choice, (5, 6, 10, 12, 13, 15, 17, 25, 30, 35) would be your best answer.

Step-by-step explanation:

The correct answer is March, as it was the month in which the average number of hours worked by the website designers was closest to 50 hours.

A month is a unit of time typically consisting of 30 or 31 days. It is used for measuring periods of time, for example, when we say something happened "a month ago". Months are used in both the Gregorian calendar and the Julian calendar.

This data was gathered from a survey of website designers, which was conducted to determine the average number of hours each month that these professionals spent working.

In January, the average number of hours worked was 46.5. In February, it was 48.8. However, in March, the average number of hours worked was 49.4, which was the closest to 50 hours. This was followed by April, in which the average was 49.7.

Overall, it can be concluded that March was the month in which the average number of hours worked by website designers was closest to 50 hours. This is important data for website designers, as it allows them to understand the amount of time they should be spending on their work in order to be successful. It also helps employers gauge the workload of their website designers and ensure they are providing an adequate amount of work.

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Answer:

To calculate Karl Pearson's coefficient of skewness, we need to use the formula:

Skewness = 3 * (Mean - Mode) / Standard Deviation

Given the Mean = 73.19, Mode = 79.56, and Variance = 16, we need to find the Standard Deviation first.

Standard Deviation = √Variance = √16 = 4

Now we can substitute the values into the formula:

Skewness = 3 * (73.19 - 79.56) / 4

Skewness = -6.37 / 4

Skewness = -1.5925

Rounded to four decimal places, the Karl Pearson's coefficient of skewness for the given values is approximately -1.5925.

Answer:

\(x=5\)

Step-by-step explanation:

We have the equation:

\(34\cdot 3^{x-2}-2\cdot 3^{x-3}=0.8\cdot 10^{x-2}+10^{x-3}\)

Let's simplify this a bit. Let \(u=x-2\). Then \(u-1=x-3\). We can substitute the exponents:

\(34\cdot3^u-2\cdot 3^{u-1}=0.8\cdot 10^u+10^{u-1}\)

Use the properties of exponents, we can write \(3^{u-1}=\frac{3^u}{3}\). We can do the same thing on the right. So:

\(34\cdot3^u-2\cdot \frac{3^u}{3}=0.8\cdot 10^u+\frac{10^u}{10}\)

We can now factor out a \(3^u\) from the left and a \(10^u\) on the right. This yields:

\(3^u(34-2\cdot\frac{1}{3})=10^u(0.8+ \frac{1}{10})\)

Evaluate the expressions within the parentheses:

\(3^u(34-\frac{2}{3})=10^u(\frac{9}{10})\)

Evaluate:

\(3^u(\frac{100}{3})=10^u(\frac{9}{10})\)

Now, let's multiply both sides by \(\frac{3}{100}\). So:

\(3^u=10^u(\frac{9}{10})(\frac{3}{100})\)

Also, let's divide both sides by \(10^u\). Multiply on the right:

\(\frac{3^u}{10^u}=\frac{27}{1000}\)

Therefore:

\(3^u=27\text{ and } 10^u=1000\)

We can now substitute back u. Notice that 27 is the same as 3 cubed and 1000 is the same as 10 cubed. So:

\(3^{x-2}=3^3\text{ and } 10^{x-2}=10^3\)

Since they have the same base, their exponents must be equal. Therefore:

\(x-2=3\)

Add 2 to both sides:

\(x=5\)

So, the value of x is 5.

And we're done!

Given :-

To Find :-

Solution :-

We can use the Unitary Method here as ,

→ In 24 min dog can run 3km .

→ In 1min the dog would run 3km/24

→ In 40min the dog would run 3/24 *40 km = 5km

Hence in 40min the dog would run 5km .

\(\\\textsf{\textbf{- Rishabh }}\)

analyze problem

find apple-cost ratio

8-4

simplify ratio

2-1

find apple amount(given)

9/2=4.5

4.5*1=4.5

Answer:4.5

Answer:

\(\mathrm{System\:of\:Equations}:\\\\\mathrm{y_1 = log(2x + 1)}\\\mathrm{y_2 = 3x - 2}\)

Step-by-step explanation:

I believe you meant your question to be 'log(2x + 1) = 3x - 2.' The simplest approach to this problem would be to assign 'y' to each side of the given equation, giving us the system of equations we need.

y₁ = log(2x + 1),

y₂ = 3x - 2

By dividing the given equation into these two equations, we can equate one another so that y₁ = y₂. Therefore their intersection will be (1) the value of y₁, (2) the value of y₂, and (3) the solution to the system of equations. Hence this is your solution.

The vertex form is given by:

And the standard form is given by:

The parent function is:

After a translation 3 units left and 2 units down:

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

On solving the provided question, we got to know that - the  cost of common equity is 11.84

Equity in mathematics education is defined by the National Council of Teachers of Mathematics as high standards and rewarding opportunities for everyone, addressing disparities to assist all kids learn mathematics, and making sure that all classrooms have resources and support for students.

here, the above question we have  -

D0 = $0.85;

P0 = $22.80;

g = 7.00%

  = 700

Answer is  -  The  cost of common equity is 11.84

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Answer: Hope this helps ;)

Step-by-step explanation:

The probability that the mean length of 48 items is greater than 8.8 inches can be calculated using the normal distribution.

First, we need to standardize the value 8.8 inches by subtracting the mean length (10.2 inches) and dividing by the standard deviation (3.3 inches):

(8.8 - 10.2) / 3.3 = -1.4 / 3.3 = -0.42424242

We can use a z-table or a normal distribution calculator to find the probability that a random variable is less than -0.42424242 standard deviations below the mean. This probability is equal to the probability that the mean length of 48 items is greater than 8.8 inches.

Using a calculator, we find that the probability is 0.3389.

Rounding to four decimal places, the probability that the mean length of 48 items is greater than 8.8 inches is 0.3389.

Answer:

Step-by-step explanation:

I cannot see the graphs.

g is the centroid of triangle abc, the value of x is 2/3.

The length of segment DG is (2/3) * (length of AB) ,The length of segment AG is (1/3) * (length of AB),The length of segment AD is (1/3) * (length of AB).

The centroid of a triangle is the point at which the three medians of the triangle intersect each other. In other words, it is the point of intersection of the three lines which each divide the opposite side of the triangle into two equal parts.

Let us consider a triangle ABC with vertices A (a1, b1), B (a2, b2), and C (a3, b3). The x coordinate of the centroid G (x, y) is given by:

x = (a1 + a2 + a3) / 3

The y coordinate of the centroid G (x, y) is given similarly as x

In your question, the x coordinate of the centroid G is given as x = 2/3. This means that the x coordinate of G is 2/3 of the way between A and B.

Therefore, the length of segment DG is (2/3) * (length of AB).

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Answer:

√(27/4) = 2.6

=> a.neartest integer: 2

   b.nearest tenth: 6

Step-by-step explanation:

SOLUTION

Step1: Write out the giving parameters

Step2: Write out the formula

Step3: Substitute the parameter into the formula

Then in percentage, the sales tax rate becomes

Therefore the sales tax rate is 5 %

Answer: The answer would be 133.97 cubic units

Step-by-step explanation:

\(V=\pi r^2*h/3\\V = 3.14 *4^2* 8/3\\V= 133.97\)(rounded to the nearest hundredths place)

The volume of the composite figure(right rectangular prism + hemisphere) is 1087.06 in³.

Define Volume.

The area filled within an object's three-dimensional boundaries is referred to as its volume. It is also referred to as the object's capacity. The basic formula for volume is length × width × height.

The volume (V) denotes the capacity of a field. The unit will be in cubic (eg. m³).

Any prism's volume can be calculated as V = BH, where B is the prism's base area and H is its height.

The volume of the right rectangular prism = length*breadth*height

                                                                      = 20*9*6

                                                                      = 1080 in³

The volume of the hemisphere = 2/3*π*r³

                                                    = 2/3*22/7*1.5³.

                                                    = 7.06 in³

The volume of the total composite figure = 1087.06 in³

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Answer:

1073

Step-by-step explanation:

1073

Based on the information, we can infer that the salary a worker earns depends on the hourly wage they earn. In this case we will have to multiply the value of each hour by the number of hours worked. Additionally, I would agree to have a higher minimum wage to benefit workers.

Based on the information in the graph, we can infer that workers will have wages of $5.2, $6.0, and $6.6. According to the above, the salary varies depending on the number of hours.

On the other hand, I believe that you would agree to a salary increase because this would benefit workers who would be better paid for each hour of work.

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Answer:

a. The point is on the graph

b. The point is not on the graph

Step-by-step explanation:

To know if any of the points lie on the graph of 9x - 3y = 63, substitute the value of each given point into the equation to see if the equation is true.

a. (5, -6)

Substitute x = 5 and y = -6 into 9x - 3y = 63:

9(5) - 3(-6) = 63

45 + 18 = 63

63 = 63 (the equation is TRUE)

Therefore, (5, -6) is a point on the graph.

b. (2, 1)

Substitute x = 2 and y = 1 into 9x - 3y = 63:

9(2) - 3(1) = 63

18 - 3 = 63

15 = 63 (this is NOT TRUE)

Therefore, the point (2, 1) is not a point on the graph.

Answer:

If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.

6(3x) = 4(4x + 1)

18x = 16x + 4

2x = 4

x = 2

Answer:

$100

Step-by-step explanation:

40 is x. So, just plug in 40 into the equation:

2(40)+20=?

80+20=?

=100

The maximum height reached by the ball is 908.5 feet.

Using the given values, we can substitute v0 = 152 and h0 = 6 into the equation:

\(h(t) = -16t^2 + 152t + 6\)

This quadratic function models the height of the ball at any time t after it is thrown.

To find the maximum height of the ball, we need to find the vertex of the parabolic curve described by the quadratic function. The vertex can be found using the formula:

t = -b / 2a

where a = -16 and b = 152 are the coefficients of the quadratic function.

t = -152 / 2(-16) = 4.75

So the maximum height is reached after 4.75 seconds. To find the maximum height, we can substitute this value back into the equation:

\(h(4.75) = -16(4.75)^2 + 152(4.75) + 6 = 908.5\)feet

Therefore, the maximum height reached by the ball is 908.5 feet.

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Question

A ball is thrown vertically upward from a height of 6 feet with an initial velocity of 152 feet per second. Write a quadratic function to model the vertical motion of the ball, given that the height of the ball at time t is given by: h(t) = -16t^2 + v0t + h0