i am confused on how to solve this because i tried using
system of equations and it was incorrect.
For the piecewise function, find the values h(-10), h(1), h(4) , and h(8) . h(x)=\{\begin{array}{ll} -2 x-16, & { for } x

Answer:

(a) Range: y > 2

(b) Domain: All reals

Step-by-step explanation:

The range of a function is the set of all possible output values (y-values).

A horizontal asymptote is a horizontal line that the curve gets infinitely close to, but never touches. It is displayed as a horizontal dashed line. Therefore, the horizontal asymptote of the graphed exponential function is y = 2.

Since there is a horizontal asymptote at y = 2, and the curve appears to be always above this line, it indicates that the range of the function is all y-values greater than 2.

\(\hrulefill\)

The domain of a function is the set of all possible input values (x-values).

As the x-values of graphed exponential function appear to be unrestricted, the domain of the function is all real numbers.

The expected number of new cases per 100,000 in Michigan according to the multiple regression model is 930

In statistics, multiple regression model refers a statistical technique that can be used to analyze the relationship between a single dependent variable and several independent variables.

Here we have given that if Michigan has a strictness level equal to 50 and has more than 55 available hospitals,

And we need to find the expected number of new cases per 100,000 in Michigan according to the multiple regression model.

While we looking into the given question, we have identified the value of

Strictness level = 50

Available hospital = 55

New cases per day = 100,000

Then the expected number is calculated by using the multiple regression model is written as,

=> 50x + 55y ≤ 100,000

When we solve it graphically, then we get, the graph like the following,

As per the given graph, the expected number is 930.

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Tengo un total de 3 huevos en la última.

Los rompecabezas también son una excelente manera de pensar fuera de la caja. Resolver acertijos fortalece las conexiones entre las células cerebrales y forma nuevas células cerebrales, mejorando así la memoria. Resolver acertijos es una excelente manera de mejorar tu memoria a corto plazo.

Este acertijo viral debe leerse con atención. Su primer pensamiento podría ser que este es un problema matemático simple.

Si tuviera cuatro huevos

Un ladrón me da 3 huevos,

Mi gallo de granja pone 5 huevos,

¿Cuántos huevos tengo?

La explicación lógica de este acertijo es "Para empezar, el acertijo dice 'Si tuviera 4 huevos', pero este es solo un escenario y no tenías ningún huevo en primer lugar. Así que eso es 0 huevos.

Entonces el ladrón te dio 3 huevos.

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Answer:

\(\frac{-3y^{21}}{x^{12}}\)

Step-by-step explanation:

\(Given: (-3x^{4}y^{-7})^{-3}\\\\= 3x^{4*-3}y^{-7*-3}\\\\= 3x^{-12}y^{21}\\\\\\\)

Hence we have   \(\frac{-3y^{21}}{x^{12}}\)

Answer:

b 16.4 ft

Step-by-step explanation:

To solve this problem using a graphing calculator, we need to plug in the value of q (which is given as 7) into the equation y = 2 csc e, and then graph the resulting equation.

First, we need to convert the angle e from degrees to radians, because the csc function takes its input in radians. We can use the conversion formula:

radians = degrees x (π/180)

So for e = 2, we have:

e (in radians) = 2 x (π/180) = 0.0349 radians

Now we can plug this value into the equation y = 2 csc e:

y = 2 csc(0.0349) ≈ 103.8 feet

This tells us that the length of the rafters needed to make the roof is approximately 103.8 feet. However, the question asks us to round to the nearest tenth of a foot, so the answer is:

y ≈ 103.8 feet ≈ 103.8 rounded to the nearest tenth of a foot

Therefore, the length of the rafters needed to make the roof for q 7" is approximately 103.8 feet, rounded to the nearest tenth of a foot.

So the correct answer is (b) 16.4 feet.

Using the graphing calculator, we find that the length of the rafters needed is approximately 16.4 feet, Therefore, the correct answer is option B, 16.4 feet.

To find the length of the rafters needed for the roof with an angle of 7 degrees, we'll use the given function y = 2 * csc(e), where e is the angle formed by the rafters and the top of the wall. Here's a step-by-step explanation:

1. Convert the angle from degrees to radians: e (in radians) = (7 degrees * π) / 180 ≈ 0.1222 radians.

2. Calculate the cosecant  (csc) of the angle e: csc(0.1222) ≈ 8.185.

3. Plug the value of csc(e) into the function: y = 2 * 8.185 ≈ 16.37.
Using a graphing calculator, we can input the function y = 2 csc e and graph it. Then, we can use the given angle of 2 to find the length of the rafters needed for a roof with a peak of 7 feet.

4. Round the length to the nearest tenth of a foot: 16.37 ≈ 16.4 feet.
When we graph the function, we can see that the length of the rafters is the distance between the x-axis and the point on the graph where y = 7.
So, the length of the rafters needed to make the roof for an angle of 7 degrees is approximately 16.4 feet (Option b).

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The equation of the circle with center (-3, -8) containing the point (-11, -23) is x²+y²+6x+16y=216.

The general form of the equation of the circle is (x-h) ²+(y-k) ²=r².

Here, (h, k) indicates the circle's center, and r indicates the circle's radius.

In the given question, (-3, -8) is the center of the circle.

Here, h = -3, k = -8.

Now, we need to find the radius of the circle.

Radius is the distance between the center of the circle and the given point (-11, -23).

Distance formula = √(x2-x1) ²+(y2-y1) ²

√ (-11-(-3)) ² + (-23-(-8)) ²

√ (-11+3) ² + (-23+8) ²

√64+225

√289

17.

So, the radius of the circle is 17.

Now, we can find the equation of the circle by substituting in the formula.

(x-h) ² + (y-k) ² = r²

(x-(-3)) ² + (y - (-8)) ² = 17²

(x+3) ² + (y+8) ² = 289.

x²+6x+9+y²+16y+64=289

x²+y²+6x+16y=216.

Therefore, the equation of the circle is x²+y²+6x+16y=216.

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The number of trees that could be saved is 8 trees.

We know that papers are obtained from trees. The trees have to be cut down and then the Malina from the trees could be used in the production of paper.

It is also possible to save the trees by decreasing the number of trees that have to be cut by the recycling of the paper.  The number of trees saved by recycling is directly proportional to the height of a stack of recyclable newspapers.

If  stack of recyclable newspaper 36 inches high will save one tree;

Let the stack of recyclable newspaper = s

Number of trees = n

s α  n

Introducing a constant of proportionality

s = kn

k = s/n

k = 36 inches/1

k = 36 inches

When the height is  24 feet high of 288 inches

n = s/k

n = 288 inches/36 inches

n = 8 trees

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Values of parameters n and p for the binomial distribution with mean 6 and variance 3.6 are n=15 and p=0.4, respectively.

In probability theory and statistics, the binomial distribution is a discrete probability distribution that describes the number of successes in a fixed number of independent and identical trials, where each trial can result in only two possible outcomes, often labeled as "success" and "failure".

The distribution depends on two parameters: the probability of success (p) and the number of trials (n). The probability of getting exactly k successes in n trials can be calculated using the binomial probability mass function.

The binomial distribution has applications in various fields, including quality control, genetics, and finance, among others.

We know that for a binomial distribution, the mean and variance are given by:

Mean = np

Variance = np(1-p)

Substituting the given values, we have:

Mean = 6

Variance = 3.6

Thus, we can write two equations:

6 = np

3.6 = np(1-p)

We can solve for n and p by substituting the first equation into the second equation:

3.6 = (6/p) * (1-p) * p

3.6 = 6 - 6p

6p = 6 - 3.6

p = 0.4

Substituting this value of p into the first equation, we get:

6 = n * 0.4

n = 6 / 0.4

n = 15

Therefore, the values of the parameters n and p are n = 15 and p = 0.4, respectively.

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Answer:

Step-by-step explanation:

D

The contact force acting on the 0.28 kg block from the 0.62 kg block is 2.37 N.What is contact force?Contact force is the force exerted when two or more objects are in contact with each other.

Given,Masses of the boxes are m1=3.61 kg, m2=0.62 kg and m3=0.28 kg. A push force of F=8.46 N is applied on m1.Therefore, force acting on m1 is F= 8.46 N.To find the contact force acting on the 0.28 kg block from the 0.62 kg block,First, we need to calculate the net force acting on the 0.62 kg block. This is given by: F1 + F2 = m2a Where,F1 is the force acting on the block due to m1,F2 is the force acting on the block due to m3a is the acceleration of the blocks Let the force acting on the 0.62 kg block due to m3 be F23.

Hence,F1 = F23

a = acceleration of the blocks = 8.46/ (m1 + m2 + m3)

= 8.46/ (3.61 + 0.62 + 0.28)

= 1.98 m/s²

Now, we can use the equation F1 + F2 = m2a to solve for F2.

F2 = m2a - F1F2

= 0.62 x 1.98 - F23F2

= 1.2276 - F23

Now, for the 0.28 kg block, the net force acting on it is given by: F3 + F23 = m3a Where,F3 is the force acting on the block due to m1F23 is the force acting on the block due to m2a is the acceleration of the blocks We know that,F1 = F23 Hence, the net force equation can be written as: F3 + F1 = m3aF3 + F23

= 0.28 x 1.98F3 + F23 = 0.5544

Now, substituting F23 = F1 = 8.46 N,

we get: F3 + 8.46 = 0.5544

F3 = -8.46 + 0.5544 = -7.9056 N

We get a negative force here because the force is acting in the opposite direction to the applied force. Therefore, the contact force acting on the 0.28 kg block from the 0.62 kg block is:|F23| = |F1| = 8.46 N|F3| = 7.9056 NNet force = F3 + F23 = 8.46 - 7.9056 = 0.5544 N The magnitude of the contact force is:|F3| = 2.37 N (approx)Therefore, the contact force acting on the 0.28 kg block from the 0.62 kg block is 2.37 N.

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The height of the trapezoid is 65.5 centimeters.

What is trapezoid ?

A trapezoid, also known as a trapezium in some countries, is a quadrilateral with at least one pair of parallel sides. The parallel sides are called the bases of the trapezoid, and the non-parallel sides are called the legs.

The area of a trapezoid is given by the formula:

Area = (1/2) × (sum of bases) × height

Let h be the height of the trapezoid. We are given that the longer base is 131 cm and the shorter base is 85 cm. We are also given that the area is 7,074 square centimeters. Plugging in these values, we get:

7,074 = (1/2) × (131 + 85) × h

Simplifying, we get:

7,074 = (1/2) × 216 × h

Multiplying both sides by 2, we get:

14,148 = 216h

Dividing both sides by 216, we get:

h = 65.5

Therefore, the height of the trapezoid is 65.5 centimeters.

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Answer:

6x + 2y

Step-by-step explanation:

6x + 4y - 2y =

6x + 2y

Hope that helps!

Answer: y=140!!!

:)

Hope you have a good one <3

Answer:

L = 3.4 m

w = 0.6 m

Step-by-step explanation:

Let L be the length of the rectangle

     w be the width

     P be the perimeter

    A be the area

…………………………………………

FORMULA :

P = 2×(L + w)

A = L × w

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

P = 8 ⇔ 2×(L + w) = 8 ⇔ L + w = 4 ⇔ L = 4 - w

A = 2 ⇔ L × w = 2 ⇔  (4 - w) × w  = 2 ⇔  w² - 4w + 2 = 0

we have to solve this equation in order to find w :

w² - 4w + 2 = 0

Then

(w - 2)² - 4 + 2 = 0

Then

(w - 2)² = 2

Then

w - 2 = ±√2

Then

w = 2 ± √2

……………………

If w = 2 + √2 then L = 4 - w = 4 - (2 + √2) = 2 - √2 absurd because L > w.

If w = 2 - √2 then L = 4 - w = 4 - (2 - √2) = 2 + √2 .

Conclusion :

• L = 2 + √2 = 3.414213562373

• w = 2 - √2 = 0.585786437627

Answer:

true

Step-by-step explanation:

because the expression shown is a monomial we simply add the degrees of each term

4 + 2 + 3 = 9

5x4y2z3 indeed has a degree of 9

Note: if the terms were being added we take the highest degree and that is the degree of the expression.

ex. 5x^4 + y^2 + z^3 would have a degree of 4

The number of possible ways are 12500

The digit code contains 6 numbers

the first three are even

The first digit can be either 2, 4 , 6, 8, so the number of possible options is 4.

Zero cannot be used in the first place

The second digit is 0, 2, 4, 6, 8,  so the number of possible options is 5

Similarly, so the third digit, the number of possible options is 5.

The last three digits should be odd

The fourth digit will be 1, 3, 5, 7, 9, the number of possible options is 5.

The fifth digit will be 1, 3, 5, 7, 9, the number of possible options is 5.

The sixth digit will be 1, 3, 5, 7, 9, the number of possible options is 5.

The number of possible ways is 4 x 5 x 5 x 5 x 5 x 5 = 12500

Therefore, the number of ways of a digit code is 12500 ways.

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The ratio of the horizontal change to the vertical change of a line would not be used to describe a slope. Thus the correct option is option C.

The slope of a line is defined as the ratio of the vertical change (rise) to the horizontal change (run) of a line.

Slope=Vertical Change/Horizontal Change

This is also represented as the "ratio of rise to run of a line".

Slope=Rise/Run

In the given question, however, option C states that the "ratio of the horizontal change to the vertical change of a line".

Horizontal Change/ Vertical Change= 1/slope

This is an incorrect statement since the ratio of the horizontal change to the vertical change of a line is the reciprocal of the correct ratio.

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Answer:

7. To perform a t-test when the sample size is small, the sample must show no evidence of strong skewness and must contain no outliers.

Step-by-step explanation:

These are the two conditions required for performing a t test

- Sample Size: A small sample size can reduce the statistical power of a t-test, making it more challenging to detect significant differences between groups. Generally, a larger sample size is desirable to obtain more reliable and representative results.

- Skewness: Skewness refers to the asymmetry of the distribution of data. In a t-test, assuming normality of the data is important for accurate results. If the data exhibits strong skewness, the assumption of normality may be violated. In such cases, alternative non-parametric tests or transformations of the data may be more appropriate.

- Outliers: Outliers are extreme values that significantly differ from the rest of the data. They can have a disproportionate impact on the results of a t-test, particularly when the sample size is small. Outliers can distort the mean and affect the assumptions of normality and homogeneity of variance.

While the presence of skewness or outliers does not prohibit the use of a t-test with a small sample size, it is important to interpret the results with caution and consider alternative approaches if necessary. Robust statistical methods, such as non-parametric tests or bootstrapping, can be useful when dealing with non-normal or outlier-prone data, especially with small sample sizes. Additionally, visual inspection of the data distribution, such as through histograms or box plots, can help identify potential skewness or outliers.

Answer:

104.06 m^2

Step-by-step explanation:

Area of square

22 X 22 = 484 m^2

Area of circle

3.14r^2

radius = 22/2

radius = 11

3.14* 11^2 = 379.94

484 - 379.94 = 104.06

Answer:

  5.25 m

Step-by-step explanation:

A diagram can help you understand the question, and can give you a clue as to how to find the answer. A diagram is attached. The problem can be described as finding the sum of two vectors whose magnitude and direction are known.

__

In navigation problems, direction angles are specified a couple of different ways. A bearing is usually an angle in the range [0°, 360°), measured clockwise from north. In land surveying and some other applications, a bearing may be specified as an angle east or west of a north-south line. In this problem we are given the bearing of the second leg of the walk as ...

  N 35° E . . . . . . . 35° east of north

Occasionally, a non-standard bearing will be given in terms of an angle north or south of an east-west line. The same bearing could be specified as E 55° N, for example.

A vector is a mathematical object that has both magnitude and direction. It is sometimes expressed as an ordered pair: (magnitude; direction angle). It can also be expressed using some other notations;

In the latter case, "cis" is an abbreviation for the sum cos(θ)+i·sin(θ), where θ is the direction angle.

Sometimes a semicolon is used in the polar coordinate ordered pair to distinguish the coordinates from (x, y) rectangular coordinates.

__

The first leg of the walk is 3 meters due north. The angle from north is 0°, and the magnitude of the distance is 3 meters. We can express this vector in any of the ways described above. One convenient way is 3∠0°.

The second leg of the walk is 2.5 meters on a bearing 35° clockwise from north. This leg can be described by the vector 2.5∠35°.

The final position is the sum of these two changes in position:

  3∠0° +2.5∠35°

Some calculators can compute this sum directly. The result from one such calculator is shown in the second attachment:

  = 5.24760∠15.8582°

This tells you the magnitude of the distance from the original position is about 5.25 meters. (This value is also shown in the first attachment.)

__

You may have noticed that adding two vectors often results in a triangle. The magnitude of the vector sum can also be found using the Law of Cosines to solve the triangle. For the triangle shown in the first attachment, the Law of Cosines formula can be written as ...

  a² = b² +o² -2bo·cos(A) . . . . where A is the internal angle at A, 145°

Using the values we know, this becomes ...

  a² = 3² +2.5² -2(3)(2.5)cos(145°) ≈ 27.5373

  a = √27.5373 = 5.24760 . . . . meters

The distance from the original position is about 5.25 meters.

_____

Additional comment

The vector sum can also be calculated in terms of rectangular coordinates. Position A has rectangular coordinates (0, 3). The change in coordinates from A to B can be represented as 2.5(sin(35°), cos(35°)) ≈ (1.434, 2.048). Then the coordinates of B are ...

  (0, 3) +(1.434, 2.048) = (1.434, 5.048)

The distance can be found using the Pythagorean theorem:

  OB = √(1.434² +5.048²) ≈ 5.248

Answer:  C >7

Step-by-step explanation:

Answer:

The sum of the exterior angles is 360.  360/14 = 25.7 would be the measure of one exterior angle.

The sum of the interior angles is 1260.  1260/14 = 154.3 would be the measure of on interior angle.

Step-by-step explanation:

(n-2)180

n  is the number of sides

(14-2)180

12(180) 1260

This is the sum of the interior angles of the polygon.  

1260/14 = 154.3  Is the measure of one angle.

Answer:

The greates amount of pieces he would be able to use would be 9 because 8 divided by 5/6= 9 and 3/5.the 3/5 piece is too short.

Step-by-step explanation:

Step-by-step explanation:

please mark me as brainlest

Answer:

All results in the explanation

Step-by-step explanation:

To make the equation of the line, we only need two points. Select from the table the points (-1,4) and (3,9).

First, find the slope of the line:

We know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

\(\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\\\)

Substituting:

\(\displaystyle m=\frac{9-4}{3+1}=\frac{5}{4}\)

This value is used in the slope-point form of the line:

\(\displaystyle y-k=\frac{5}{4}(x-h)\)

Where (h,k) is a point from the table, select for example (3,9):

\(\displaystyle y-9=\frac{5}{4}(x-3)\)

Operate:

\(\displaystyle y=\frac{5}{4}\cdot x-\frac{5}{4}\cdot 3+9\)

\(\displaystyle y=\frac{5}{4}\cdot x+\frac{-15+36}{4}\)

The equation of the line is:

\(\boxed{\displaystyle y=\frac{5}{4}\cdot x+\frac{21}{4}}\)

Now complete the table.

For x=0:

\(\displaystyle y=\frac{5}{4}\cdot 0+\frac{21}{4}\)

\(y=\frac{21}{4}\)

For x=15

\(\displaystyle y=\frac{5}{4}\cdot 15+\frac{21}{4}\)

\(\displaystyle y=\frac{75}{4}+\frac{21}{4}=\frac{96}{4}=24\)

y=24

For y=1.5, find x:

\(\displaystyle 1.5=\frac{5}{4}\cdot x+\frac{21}{4}\)

Operate:

\(\displaystyle 1.5-\frac{21}{4}=\frac{5}{4}\cdot x\)

Multiply by 4:

\(\displaystyle 6-21=5 x\)

Solve:

\(x=-15/5=-3\)

x=-3

Answer:

All results in the explanation

Step-by-step explanation:

To make the equation of the line, we only need two points. Select from the table the points (-1,4) and (3,9).

First, find the slope of the line:

We know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

\begin{gathered}\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\\\end{gathered}m=x2−x1y2−y1

Substituting:

\displaystyle m=\frac{9-4}{3+1}=\frac{5}{4}m=3+19−4=45

This value is used in the slope-point form of the line:

\displaystyle y-k=\frac{5}{4}(x-h)y−k=45(x−h)

Where (h,k) is a point from the table, select for example (3,9):

\displaystyle y-9=\frac{5}{4}(x-3)y−9=45(x−3)

Operate:

\displaystyle y=\frac{5}{4}\cdot x-\frac{5}{4}\cdot 3+9y=45⋅x−45⋅3+9

\displaystyle y=\frac{5}{4}\cdot x+\frac{-15+36}{4}y=45⋅x+4−15+36

The equation of the line is:

\boxed{\displaystyle y=\frac{5}{4}\cdot x+\frac{21}{4}}y=45⋅x+421

Now complete the table.

For x=0:

\displaystyle y=\frac{5}{4}\cdot 0+\frac{21}{4}y=45⋅0+421

y=\frac{21}{4}y=421

For x=15

\displaystyle y=\frac{5}{4}\cdot 15+\frac{21}{4}y=45⋅15+421

\displaystyle y=\frac{75}{4}+\frac{21}{4}=\frac{96}{4}=24y=475+421=496=24

y=24

For y=1.5, find x:

\displaystyle 1.5=\frac{5}{4}\cdot x+\frac{21}{4}1.5=45⋅x+421

Operate:

\displaystyle 1.5-\frac{21}{4}=\frac{5}{4}\cdot x1.5−421=45⋅x

Multiply by 4:

\displaystyle 6-21=5 x6−21=5x

Solve:

x=-15/5=-3x=−15/5=−3

x=-3

Hz (Hertz) is a unit of frequency, which measures the number of events or occurrences of a certain phenomenon per second. In this case, the tape timer creates 28 dots per second, which means that the frequency of dot creation is 28 Hz.

To find the time interval between 3 successive dots, we need to calculate the time it takes for the tape timer to create 3 dots. This can be done by dividing the total time by the number of dots created.

Since the tape timer creates 28 dots per second, the time interval between 3 dots can be calculated as follows:

Time interval = 1 second / 28 dots = 1/28 seconds

So, the time interval between 3 successive dots created by the tape timer is 1/28 seconds, which is the amount of time that elapses between the creation of each dot.

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Answer: 8/14

Step-by-step explanation: make 8/14 into a percent and you have the answer for khan

The closest estimate to the percentile for the driver with a daily driving time of 6 hours is 57th if the dot plot shows the number of hours of daily driving time for 14 school bus drivers.

A percentile is a score that relates one rating to the scores of the rest of the group. It represents the proportion of scores that a given score surpassed.

We have:

Total number of observations N = 14

Index for 6 = 8

Percentile for the observation:

P = (R/N)×100

P = (8/14)×100

P = 0.571×100

P = 57.14 or

P = 57th percentile

Thus, the closest estimate to the percentile for the driver with a daily driving time of 6 hours is 57th if the dot plot shows the number of hours of daily driving time for 14 school bus drivers.

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Answer:

10

Step-by-step explanation:

17 -5 times 2 + 3

Step 1:

17 - 10 + 3

Step 2:

7 + 3

Step 3:

10

Answer:

10

Step-by-step explanation:

Equation:

17 - 5 times 2 + 3

First Step:

Multiplying is first in the order of operations so

17 - 10 + 3

Second Step:

Then adding and subtracting are the same so you do the equation left to right

7 + 3

Answer:

Then you just add it

10