The Yert family hires a landscaping company for 30 weeks. There are two companies to choose from. Green Lawns charges 2 for the first time they service your lawn, and the price will multiply by a factor of 0. 90 every week thereafter. Green Thumbs charges 400 for the first time they service your lawn, and then charges an additional 40 every week thereafter. At 30 weeks, if the Yert family chooses the company that is cheaper, how much money will they save?

Answer:

8.  A = 22,   P = 26

9.  A = 44,   P = 30

Step-by-step explanation:

see attached

The derivative of h = sin(3t) with respect to t is dh/dt = 3cos(3t). This result is obtained by applying the chain rule, where the derivative of the outer function sin(u) is cos(u), and the derivative of the inner function 3t is 3.

To find the derivative of the function h = sin(3t), we need to apply the chain rule. Let's go through the steps:

(a) Determine the inside and outside functions:

The inside function is u = 3t, and the outside function is h = sin(u).

Rewriting h in terms of u, we have:

h = sin(3t) = sin(u)

(b) Use the chain rule to find the derivative:

To differentiate h = sin(u) with respect to t, we apply the chain rule. The chain rule states that if we have a composite function y = f(g(t)), then the derivative of y with respect to t is given by dy/dt = f'(g(t)) * g'(t).

In this case, f(u) = sin(u), and g(t) = 3t. Therefore, the derivative of h = sin(3t) with respect to t is:

dh/dt = f'(g(t)) * g'(t)

The derivative of f(u) = sin(u) is f'(u) = cos(u).

The derivative of g(t) = 3t is g'(t) = 3.

Applying the chain rule, we have:

dh/dt = f'(g(t)) * g'(t) = cos(3t) * 3

Therefore, the derivative of h = sin(3t) with respect to t is dh/dt = 3cos(3t).

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To find the interval(s) of continuity for the function f(x) = (x + 3)^2 + 9, we need to consider the domain of the function and check for any points where the function may be discontinuous.

The given function f(x) = (x + 3)^2 + 9 is a polynomial function, and polynomials are continuous for all real numbers. Therefore, the function f(x) is continuous for all real numbers. Since there are no restrictions or excluded values in the domain of the function, we can conclude that the interval of continuity for the function f(x) = (x + 3)^2 + 9 is (-∞, ∞), meaning it is continuous for all values of x. The function f(x) = (x + 3)^2 + 9 is a quadratic function. Let's analyze its properties. Domain: The function is defined for all real numbers since there are no restrictions or excluded values in the expression (x + 3)^2 + 9. Therefore, the domain of f(x) is (-∞, ∞). Range: The expression (x + 3)^2 + 9 represents a sum of squares and a constant. Since squares are always non-negative, the smallest possible value for (x + 3)^2 is 0 when x = -3. Adding 9 to this minimum value, the range of f(x) is [9, ∞).

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Answer:

C

Step-by-step explanation:

You can buy 1.67 pounds of flour per dollar.

To find out how much flour you get per dollar, we need to calculate the amount of flour you can buy with one dollar. We know that 3 lbs of flour cost $1.80, so we can set up a proportion:

3 lbs / $1.80 = x lbs / $1

We can solve for x by cross-multiplying:

3 lbs * $1 = $1.80 * x lbs

Simplifying this expression, we get:

$3 = $1.80 * x lbs

Dividing both sides by $1.80 gives us:

x lbs = $3 / $1.80

x lbs = 1.67 lbs

Therefore, you can buy 1.67 pounds of flour per dollar.

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Answer:

slope = - \(\frac{2}{3}\)

Step-by-step explanation:

Parallel lines have equal slopes

Calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (9, 6) and (x₂, y₂ ) = (3, 10)

m = \(\frac{10-6}{3-9}\) = \(\frac{4}{-6}\) = - \(\frac{2}{3}\) ← slope of parallel line

Answer:

Step-by-step explanation:

Y2-Y1÷X2-X1=slope

10-6÷3-9=M

4÷-6=M

Slope =0.67

a. The probability density function for the random variable x generated using the RAND function in Excel is: 3. Uniform distribution on the interval [0, 1].

b. The probability of generating a random number between 0.25 and 0.85 is: 0.6.

c. The probability of generating a random number less than or equal to 0.3 is: 0.3.

d. The probability of generating a random number greater than 0.6 is: 0.4.

e. Using the given 50 random numbers, the mean is: 0.498279.

Using the given 50 random numbers, the standard deviation is: 0.286468.

a. The probability density function for a random variable x generated using the RAND function in Excel is a uniform distribution on the interval [0, 1]. This means that all values within this interval have an equal probability of being generated.

b. The probability of generating a random number between 0.25 and 0.85 can be calculated by finding the length of the interval [0.25, 0.85] and dividing it by the total length of the interval [0, 1]. In this case, the interval [0.25, 0.85] has a length of 0.6, and the total interval [0, 1] has a length of 1. Therefore, the probability is 0.6.

c. The probability of generating a random number less than or equal to 0.3 can be calculated by finding the length of the interval [0, 0.3] and dividing it by the total length of the interval [0, 1]. In this case, the interval [0, 0.3] has a length of 0.3, and the total interval [0, 1] has a length of 1. Therefore, the probability is 0.3.

d. The probability of generating a random number greater than 0.6 can be calculated by finding the length of the interval (0.6, 1] and dividing it by the total length of the interval [0, 1]. In this case, the interval (0.6, 1] has a length of 0.4, and the total interval [0, 1] has a length of 1. Therefore, the probability is 0.4.

e. To calculate the mean of the given 50 random numbers, we sum all the numbers and divide by the total count, which is 50. The calculated mean is 0.498279.

To calculate the standard deviation of the given 50 random numbers, we can use the formula for sample standard deviation. This involves calculating the squared differences between each number and the mean, summing the squared differences, dividing by the sample size minus 1, and then taking the square root of the result. The calculated standard deviation is 0.286468.

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Answer: 30 Kit Kats

Step-by-step explanation:

The ratio of Kit Kats to Snickers is 5:4 or \(\frac{5}{4}\)

Let us name Kit Kats as "k", if there are 24 Snickers:

we need to find the number of Kit Kats that keeps ratio constant

\(\frac{5}{4} = \frac{k}{24}\) ... crossmultiply

5 * 24 = 4 * k

120 = 4k

k = 30

Thus, there are 18 ways to choose one book, 153 ways to choose two books, and 360 ways to choose three books, one from each category.

To find the number of ways a student can choose from the given library, we need to use the formula for combinations.

The formula for combinations is:
nCr = n! / r!(n-r)!

where n is the total number of items, r is the number of items to be chosen, and ! denotes factorial.

Let's consider the different ways a student can choose:

1. Choosing one book from any category:
Total number of books = 5+3+6+4 = 18
n = 18, r = 1
Number of ways = 18C1 = 18! / 1!(18-1)! = 18

2. Choosing two books from any category:
n = 18, r = 2
Number of ways = 18C2 = 18! / 2!(18-2)! = 153

3. Choosing three books, one from each category:
For this, we need to choose one book from each category, and the order of selection does not matter.
n1 = 5, r1 = 1 (for history)
n2 = 3, r2 = 1 (for sociology)
n3 = 6, r3 = 1 (for anthropology)
n4 = 4, r4 = 1 (for psychology)
Number of ways = (5C1 x 3C1 x 6C1 x 4C1) = (5 x 3 x 6 x 4) = 360

Therefore, there are 18 ways to choose one book, 153 ways to choose two books, and 360 ways to choose three books, one from each category.

In summary, a student can choose:
- 18 ways to choose one book
- 153 ways to choose two books
- 360 ways to choose three books, one from each category

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Answer:

Step-by-step explanation:

Plot 213, −56, and −312 on the number line.

Answer:

2000 profit

Step-by-step explanation:

Profit= Selling Price (S.P)- Cost Price(C.P)

SP=26000

CP=24000

26000-24000=2000

Answer:

2000

Step-by-step explanation:

Answer:

14.424375 cubed feet (can round)

Sorry if this answer is not correct, if it is or is not, please tell me in the comments!

Step-by-step explanation:

First, find the volume of the rectangular prism which is 4 x 2 x 2 = 16 cubed feet.

Next, find the volume of the cylinder, and use this formula:

πrr (area of one circle) x the height

The r = the radius, but we only have the diameter. We need to divide the diameter by 2 to find the radius. (7 divided by 2 = 3.5 feet)

Now, we can plug all of the numbers in the previous formula:

π(3.5)(3.5) x the height (6 feet) = 230. 79 cubed feet

For the final step, we need to do 230. 79 divided by 16 to find how many rectangular prisms can fit in the cylinder.

So, the answer is 14.424375 cubed feet. (Add the label of "squared feet" and round the answer if you like!)

(A) Sine as 40∘: θ = __140_degrees

Cosine as 40∘: θ = _50_degrees

(B) Sine function value as 250∘. θ = _70_degrees

Cosine function value as 250∘. θ = _160_degrees

(C) Sine as π/6: θ = _5π/6_radians

Cosine as π/6: θ = _7π/6_radians

A. An angle θ with 90∘<θ<360∘ that has the same sine as 40∘ is 140∘. Similarly, an angle θ with 90∘<θ<360∘ that has the same cosine as 40∘ is 50∘.

B. An angle θ with 0∘<θ<360∘ that has the same sine function value as 250∘ is 70∘. Similarly, an angle θ with 0∘<θ<360∘ that has the same cosine function value as 250∘ is 160∘.

C. An angle θ with π/2<θ<2π that has the same sine as π/6 is 5π/6 radians. Similarly, an angle θ with π/2<θ<2π that has the same cosine as π/6 is 7π/6 radians.

To find angles with the same sine or cosine function value as a given angle, we can use the unit circle. The sine function is equal to the y-coordinate of a point on the unit circle, while the cosine function is equal to the x-coordinate of a point on the unit circle. Therefore, we can find angles with the same sine or cosine function value by finding points on the unit circle with the same y-coordinate or x-coordinate as the given angle, respectively.

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Answer:

-8, 3

Step-by-step explanation:

Reflections formula

Y-axis (-x, y)

X-axis (x, -y)

Answer:

   https://scratch.mit.edu/projects/580972810/

Step-by-step explanation:

This website is a link to a Scratch project. It's mine.

I made this because I couldn't do it on Brainly.

This is NOT a scam. I promise.

It will have a tiny purple ball which is the oringinal, and a green one which is the reflected.

The doubling time for the bacteria population is 3 hours, as it takes 3 hours for the population to triple.

In the bacteria growing experiment, the biologist observed that the number of bacteria in the culture was tripling every 3 hours. This means that the bacteria population was increasing at a rate of 200% every 3 hours. After 15 hours, it was estimated that there were 2 million bacteria in the culture. This means that the bacteria population had doubled approximately 5 times in the 15 hour period. Therefore, the doubling time for the bacteria population is 3 hours, as it takes 3 hours for the population to double. For example, if the initial population size is 100, then the population size after 3 hours would be 200. This means that the bacteria population was doubling approximately every 3 hours. Doubling time is an important factor to consider when studying population growth, as it can help to predict the size of a population at a certain point in time. Additionally, understanding the doubling time of a population can help to understand the rate of growth and how quickly it may reach a certain size.

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The table of the approximate values of y:

t y

0.0 0.100

0.2 0.126

0.4

To use the implicit Euler's method to solve the logistic model ODE:

First, we need to set up the difference equation for the implicit Euler's method. The formula for the implicit Euler's method is:

\(y_n+1 = y_n + h*f(t_n+1, y_n+1)\)

where h is the step size, f(t,y) is the right-hand side of the differential equation, and \(y_n\) and \(y_n+1\) are the approximations of the solution at times \(t_n\) and \(t_n+1\), respectively.

For the logistic model, we have y' = 100y(1-y), so f(t,y) = 100y(1-y).

Using the implicit Euler's method with h = 0.2, we have:

\(t_0 = 0, y_0 = 0.1\\t_1 = t_0 + h = 0.2\\y_1 = y_0 + hf(t_1, y_1) = y_0 + 0.2f(t_1, y_1)\\\)

Substituting f(t,y) and the values for \(t_1\) and \(y_0,\) we get:

\(y_1 = 0.1 + 0.2100y_1*(1-y_1)\\\)

Simplifying and rearranging, we get:

\(y_1^2 - (5/2)*y_1 + 1/20 = 0\)

Using the quadratic formula, we get:

\(y_1 = (5/4) \pm \sqrt((5/4)^2 - 4*(1/20))/2\\y_1 = (5/4) \pm \sqrt(25/16 - 1/5)/2\\y_1 \approx (5/4) \pm \sqrt(109)/20\\y_1 \approx 0.126 or y_1 \approx 0.019\\\)

Since the logistic model represents population growth, we choose the positive solution \(y_1\) ≈ 0.126.

Now we can repeat this process for each time step:

\(t_2 = t_1 + h = 0.4\\y_2 = y_1 + 0.2f(t_2, y_2) = y_1 + 0.2100y_2(1-y_2\\y_2 \approx 0.198\\t_3 = t_2 + h = 0.6\\y_3 = y_2 + 0.2f(t_3, y_3) = y_2 + 0.2100y_3(1-y_3)\\y_3 0.256\\t_4 = t_3 + h = 0.8\\y_4 = y_3 + 0.2f(t_4, y_4) = y_3 + 0.2100y_4(1-y_4)\\y_4 \approx 0.300\\t_5 = t_4 + h = 1.0\\y_5 = y_4 + 0.2f(t_5, y_5) = y_4 + 0.2100y_5(1-y_5)\\y_5 \approx 0.329\\\)

We can continue this process for each time step up to t=10. Here's the table of the approximate values of y:

t y

0.0 0.100

0.2 0.126

0.4

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Answer:

2( x - 2)(2x + 1)

Step-by-step explanation:

Dude

Answer:

4x^2−6x−4

Step-by-step explanation:

Let's simplify step-by-step.

5x2−2x−14−(x2+4x−10)

Distribute the Negative Sign:

=5x2−2x−14+−1(x2+4x−10)

=5x2+−2x+−14+−1x2+−1(4x)+(−1)(−10)

=5x2+−2x+−14+−x2+−4x+10

Combine Like Terms:

=5x2+−2x+−14+−x2+−4x+10

=(5x2+−x2)+(−2x+−4x)+(−14+10)

=4x2+−6x+−4

Therefore, the student reads 2,436 pages on Thursday by the given equation.

According to the given information, the student reads three times as many pages on Thursday as on Wednesday. Let's say that the number of pages read on Wednesday is represented by the variable w. Then, we can write the equation:

Pages on Thursday = 3 * Pages on Wednesday

In this equation, we know that Pages on Wednesday = w. So we can substitute w into the equation and get:

Pages on Thursday = 3w

We are also given that on Wednesday, the student read 812 pages. So we can substitute 812 for w and get:

Pages on Thursday = 3 * 812

Simplifying, we get:

Pages on Thursday = 2,436

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The angle where the tangent intersect is as follows:

m∠L = 55 degrees.

A line that touches the circle at a single point is known as a tangent to a circle.

Therefore, the measure of the angle formed by the intersection of tangents is equals to half the difference of the intercepted arcs.

Hence,

m∠L = 1 / 2 (235 - (360 - 235))

m∠L = 1 / 2 (235 - 125)

m∠L = 1 / 2 × 110

m∠L =  55 degrees

Therefore, the measure of the angle formed by the intersection of the tangent is 55 degrees.

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the point (3/8, -15/8, 0) on the plane z = 4x + 2y + 3 is closest to the origin. To find the point (x, y, z) on the plane z = 4x + 2y + 3 that is closest to the origin, we can use the concept of orthogonal projection.

The closest point will be the point on the plane that is closest to the origin, which is the orthogonal projection of the origin onto the plane.

First, we need to find the normal vector of the plane. The coefficients of x, y, and z in the equation of the plane give us the normal vector. So, the normal vector of the plane is (4, 2, -1).

Next, we need to find the projection of the origin onto the plane. The projection of a vector v onto a plane with normal vector n is given by the formula:

\(proj_n(v) = v - ((v . n) / ||n||^2) * n\)

where "." denotes the dot product, "||n||" denotes the magnitude of the normal vector, and "proj_n(v)" denotes the projection of v onto the plane with normal vector n.

In this case, the vector v is the origin, which is (0, 0, 0), and the normal vector is (4, 2, -1). So, we can calculate the projection of the origin onto the plane as follows:

\(proj_n(v) = (0, 0, 0) - (((0, 0, 0) . (4, 2, -1)) / ||(4, 2, -1)||^2) * (4, 2, -1)\)

= (0, 0, 0) - (0 / 21) * (4, 2, -1)

= (0, 0, 0)

Therefore, the projection of the origin onto the plane is the origin itself.

Finally, we can find the coordinates of the point on the plane that is closest to the origin by setting z = 0 in the equation of the plane:

0 = 4x + 2y + 3

Solving for y, we get:

y = (-2x - 3/2)

So, the coordinates of the point on the plane that is closest to the origin are:

x = 3/8

y = -15/8

z = 0

Therefore, the point (3/8, -15/8, 0) on the plane z = 4x + 2y + 3 is closest to the origin.

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The measure of angle I in the triangle HIJ using given measurements is equal to 46.05 degrees.

In the triangle HIJ,

The measure of angle J is equal to 90 degrees.

This implies ,

HI is the hypotenuse.

JH is the opposite side to angle I.

In triangle HIJ,

Using trigonometric ratio we get,

sin ∠I = Opposite side / Hypotenuse

Substitute the values we have,

⇒ sin ∠I = 4.8 / 6.7

⇒ sin ∠I = 0.72

Now , take sin⁻¹ both the side of the equation we get,

⇒sin⁻¹(sin ∠I) = sin⁻¹( 0.72 )

Here sin⁻¹(sin ∠I) = ∠I

⇒∠I = sin⁻¹( 0.72 )

⇒∠I = 46.05 degrees

Therefore, the measure of angle I is equal to 46.05 degrees.

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The probability of each is 0.4832, 0.4686, 0.8474, 0.0808, 0.6656, 0.0384, 0.0083, 0.9582, 0.9798, and 0.8461 respectively.

The z-score represents the number of standard deviations a value is from the mean in a standard normal distribution. By referencing the z-score table, we can determine the probabilities associated with specific z-score intervals.

To find the probabilities using the standard normal distribution, we can utilize a standard normal distribution table or a statistical software.

The standard normal distribution table provides the cumulative probability up to a given value of z, denoted as Φ(z).

Using the standard normal distribution table or a statistical software, we can find the probabilities for the given intervals:

1. P(0 < z < 2.16) = 0.4832

2. P(-1.87 < z < 0) = 0.4686

3. P(-1.63 < z < 2.17) = 0.8474

4. P(1.72 < z < 1.98) = 0.0808

5. P(-2.17 < z < 0.71) = 0.6656

6. P(z > 1.77) = 0.0384

7. P(z < -2.37) = 0.0083

8. P(z > -1.73) = 0.9582

9. P(z < 2.03) = 0.9798

10. P(z > -1.02) = 0.8461

Therefore, the probabilities are as follows:

- P(0 < z < 2.16) = 0.4832

- P(-1.87 < z < 0) = 0.4686

- P(-1.63 < z < 2.17) = 0.8474

- P(1.72 < z < 1.98) = 0.0808

- P(-2.17 < z < 0.71) = 0.6656

- P(z > 1.77) = 0.0384

- P(z < -2.37) = 0.0083

- P(z > -1.73) = 0.9582

- P(z < 2.03) = 0.9798

- P(z > -1.02) = 0.8461

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Answer:

\(x=67.38^\circ\)

Step-by-step explanation:

Use trigonometry

Recall that cos(x)=adjacent side/hypotenuse

You can remember this with SohCahToa

Also remember that if cos(x)=y then \(cos^{-1}(y)=x\)

In this case, we know the adjacent side and hypotonous

Adjacent side=5000

Hypotenuse=13000

Therefore

\(Cos(x)=\frac{5000}{13000}=\frac{5}{13}\)

Now to solve for x, take the inverse cosine

\(cos^{-1}(\frac{5}{13})=x=67.38^\circ\)

Answer:

x=67.38

Step-by-step explanation:

I took the quiz and got it correct!

The absolute value inequality for the hearing range of each animal is mod(e - 6008) ≤ 5992 and mod(m - 46000) ≤ 45000, respectively.

An absolute value equation has no solution if the absolute value expression equals a negative number since an absolute value can never be negative. You can write an absolute value inequality as a compound inequality. This holds true for all absolute value inequalities. You can replace > above with ≥ and < with ≤.

To solve absolute-value inequalities, first, we must drop the absolute-value bars and restate the inequality in one of two ways, depending on the case.

According to the question,

The elephant can hear: 16 ≤ e ≤ 12000

The avg hearing = (12000 + 16)/2 = 6008

Tolerance = 12000 - 6008 = 5992

Therefore, the value absolute value inequality for the hearing of the elephant is mod(e - 6008) ≤ 5992.

Similarly,

The mouse can hear: 1000 ≤ e ≤ 91000

The avg hearing = (12000 + 91000)/2 = 46000

Tolerance = 46000 - 1000 = 45000

Hence, the value absolute value inequality for the hearing of the mouse is mod(m - 46000) ≤ 45000.

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Answer:

36x

Step-by-step explanation:

OF= 6x (given radius of circle)

OB=OF+FB

= 6x +6x(given OF=FB)

= 12x

Angle D= angle B and angle O= 60°( given arc EF is 60°)

D + B + O= 180° ( sum of angles in a triangle)

x + x + 60= 180° ( let the value of remaining angles be x and D= B)

2x= 180 -60

x = 120/2

x= 60°

now, triangle DOB is a equilateral triangle because all angles are equal.

so, OB=DB=OD= 12x ( all sides are equal in equilateral triangle)

so,

perimeter of DOB= OB+DB+OD

= 12x+12x+12x

= 36x

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Two equations that represent the graph shown below as sine function y = 0.909x−3 and as cosine function y = −0.416x −3.

The sine graph or sinusoidal graph is an up-down graph and repeats every 360 degrees i.e. at 2π.

The general form of a cosine function is:

y = a cosb (θ±c) ± d

Here, amplitude, a  is = 1

For b, period is = π

2π/b = π

b = 2

c = 0

vertical shift = D = -3

Putting the value into formula

y = 1 cos2 (θ + 0) - 3

y = 1 ×−0.416(θ + 0) - 3

y = −0.416θ−3  

y = −0.416x −3  (cosine function)

y = 1 sin2 (θ + 0) - 3

y = 1 ×0.909(θ + 0) - 3

y = 0.909θ−3

y = 0.909x−3 (sine function)

Thus, two equations that represent the graph shown below as sine function y = 0.909x−3 and as cosine function y = −0.416x −3.

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The distance that is required to fly to reach the carrier should be considered as the 888.31 feet.

Since

The angle of depression from an approaching airplane to an aircraft carrier is 52°. And, the plane is 700 feet above sea level

So here we assume the distance be x

So, the following equation should be applied

\(sin \ 52=700/x\)

x = 888.31 feet

Hence, The distance that is required to fly to reach the carrier should be considered as the 888.31 feet.

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Answer:

if 4 is 120° then 2 is also 180° since they are opposite angles.

The function of the polynomial graph when factored is (d) \(f(x) = x^3 - 8x^2+ 21x - 18\)

From the question (see attachment), we have the following highlights:

This means that:

So, the function of the graph is:

\(f(x) = (x - 2)(x - 3)^2\)

Expand the exponent

\(f(x) = (x - 2)(x^2 - 6x + 9)\)

Expand

\(f(x) = x^3 - 6x^2 + 9x - 2x^2 + 12x - 18\)

Collect like terms

\(f(x) = x^3 - 6x^2 - 2x^2+ 9x + 12x - 18\)

\(f(x) = x^3 - 8x^2+ 21x - 18\)

Hence, the function of the graph is (d)

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The net of the pyramid is the plane shapes that makes up the pyramid

The surface area of the pyramid is 224 m^2

The pyramid is a square based pyramid.

This means that the net of the pyramid has a square and four triangles

See attachment for the net of the pyramid

The base length is given as:

b = 8

The slant height is given as:

s = 10

Start by calculating the height of the pyramid using:

\(h = \sqrt{s^2 - (b/2)^2}\)

So, we have:

\(h = \sqrt{10^2 - (8/2)^2}\)

\(h = \sqrt{84}\)

The area of the pyramid is then calculated as:

\(A = b^2 + 2b * \sqrt{\frac{b^2}{4} + h^2}\)

So, we have:

\(A = 8^2 + 2*8 * \sqrt{\frac{8^2}{4} + 84}\)

\(A = 64 +16 * \sqrt{16 + 84}\)

\(A = 64 +16 * \sqrt{100}\)

\(A = 64 +16 * 10\)

\(A = 224\)

Hence, the surface area of the pyramid is 224 m^2

Read more about surface areas at:

https://brainly.com/question/10171109