Answer:
The range is 37
Step-by-step explanation:
highest - lowest = range
64-27= 37
Hope it helped! :)
What is the area of the shaded part of the figure if =14
ft?
Use 3.14
to approximate π
The area of the shaded part is 42.14 ft² .
How to find the area of the shaded part of the figure?Area of the shaded part of the figure = area of square - area of quarter circle
Area of shaded part of the figure = s² - 1/4πr²
Where s = 14 ft and r = 14 ft
Substitute into the formula:
Area of shaded part = 14² - 1/4(3.14)(14²)
= 42.14 ft²
Therefore, the area of the shaded part is: 42.14 ft² .
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Complete Question
Check image
Out of 600 people sampled, 42 had kids. Based on this, construct a 95% confidence interval for the true population proportion of people with kids.
Use GeoGebra to calculate! Give your answers as decimals, to three places
Answer:
So we can be 95% confident that the true proportion of people with kids in the population is between 0.044 and 0.096.
Step-by-step explanation:
To construct a confidence interval, we need to use the formula:
CI = p ± zsqrt((p(1-p))/n)
Where:
CI = confidence interval
p = sample proportion (in this case, 42/600 = 0.07)
z = the z-score corresponding to the desired level of confidence (in this case, 1.96 for a 95% confidence interval)
n = sample size (in this case, 600)
Plugging in the numbers, we get:
CI = 0.07 ± 1.96sqrt((0.07(1-0.07))/600)
Simplifying this, we get:
CI = 0.07 ± 0.026
Therefore, the 95% confidence interval for the true population proportion of people with kids is:
0.044 ≤ p ≤ 0.096
Describe the graph proportional relationship represented by the equation y=5.5x
How do I find the parabola of the following. I tried to start. I do not know if I am on the right track, and if I am on the right track, what are the next steps to find and plot the parabola?
Thank you,
(x+4)(x+2)=0
((x+2)+4(x+2)
x^2 +2x+4x+8
X^2+6x+8
You are on the right track! To find the equation of the parabola given by the equation x^2 + 6x + 8 = 0, you can use the standard form of a quadratic equation, which is:
y = a(x - h)^2 + kwhere (h, k) is the vertex of the parabola and a is a coefficient that determines the shape of the parabola.
To get the equation of your parabola, you first need to complete the square on the x terms of the given equation:
x^2 + 6x + 8 = 0x^2 + 6x = -8(x + 3)^2 - 9 = -8(x + 3)^2 = 1From this equation, you can see that the vertex of the parabola is at (-3, -1) and the value of a is positive. This means that the parabola opens upwards.
To find the value of a, you can compare the equation with the standard form of the quadratic equation:
y = a(x - h)^2 + kwhere h = -3, k = -1, and a is the coefficient you need to find. Substituting these values into the equation gives:
-1 = a(-3 - (-3))^2 - 1-1 = a(0)^2 - 1a = 1So the equation of the parabola is:
y = (x + 3)^2 - 1To plot the parabola, you can use the vertex (-3, -1) as a starting point and then use the coefficient a to determine the shape of the parabola. Since a is positive, the parabola opens upwards.
In ΔSTU, t = 260 cm, u = 850 cm and ∠S=166°. Find the area of ΔSTU, to the nearest square centimeter.
Answer:
1,110
Step-by-step explanation:
it's that because I added it all up in got thatv
I need assistance please.
Your Assignment
Mr. Paulsen challenges Olivia and Angelica to move figure ABCDE onto figure A"B"C"D"E" using a series of two different transformations. They give two different answers.
Answer the questions to investigate ways to transform ABCDE.
1. Olivia finds a combination of two different transformations that moves ABCDE onto A"B"C"D"E". What is one way she might have done this? (3 points)
2. Angelica reflects ABCDE over the y-axis and translates it up 8 units. Does her transformed figure match A"B"C"D"E"? If not, describe how her transformed figure compares to A"B"C"D"E". (3 points)
3. Michael says he can move ABCDE onto A"B"C"D"E" with one transformation by translating ABCDE diagonally so that it moves 8 units up and 10 units right. Is he correct? Explain why or why not. (4 points)
Olivia could have used a combination of a rotation and a translation to move ABCDE onto A"B"C"D"E".
Angelica's transformed figure will not match A"B"C"D"E" because reflecting ABCDE over the y-axis will change the order of the letters in the figure.
No, Michael is not correct.
How to explain the transformationTranslating ABCDE diagonally by 8 units up and 10 units right will move each point in ABCDE the same distance horizontally and vertically, which will change the shape of the figure.
In order to match A"B"C"D"E", the transformation must preserve the order of the letters and the angles between the segments.
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Josh is looking for the best deal on a refrigerator that has a wholesale price of $549. Help him compare the price of the
refrigerator at two different stores by completing the following.
(a)
(b)
Josh then looks at the refrigerator in a department store that marks up the refrigerator's wholesale price 50%. But
because of a customer loyalty program, he would receive a 10% discount off the in-store price. Ignoring tax, how
much would he pay for the refrigerator at this store?
(c)
Josh goes to a superstore that marks up the refrigerator's wholesale price 40%. Ignoring tax, how much would he
pay for the refrigerator at this store?
$0
Check
Select the true statement.
O Josh would pay more for the refrigerator at the superstore.
O Josh would pay more for the refrigerator at the department store.
O Josh would pay the same amount for the refrigerator at the department store and at the superstore.
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b) Josh would pay $741.15 for the refrigerator at the department store with 10% discount.
c) The true statement is: Josh would pay more for the refrigerator at the superstore.
(b) If the department store marks up the wholesale price of the refrigerator by 50%, then the price at the store would be:
Wholesale price + (50% x Wholesale price) = $549 + (0.5 x $549) = $823.50
If Josh would receive a 10% discount off the in-store price, then the price he would pay would be:
In-store price - (10% x In-store price) = $823.50 - (0.1 x $823.50) = $741.15
(c) If the superstore marks up the wholesale price of the refrigerator by 40%, then the price at the store would be:
Wholesale price + (40% x Wholesale price) = $549 + (0.4 x $549) = $768.60
Therefore, Josh would pay $768.60 for the refrigerator at the superstore.
Comparing the prices, we can see that Josh would pay less for the refrigerator at the department store after factoring in the discount:
Price at department store = $741.15
Price at superstore = $768.60
So the true statement is: Josh would pay more for the refrigerator at the superstore.
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Please help me find the length of OP. (See attached picture)
The length of OP in the given circle figure is 2.
We know that the area of a sector which obtain 'A' degree at center in a circle with radius 'r' is given by,
A = (A/360)*πr²
Here length of OP represents the radius of the circle with center O.
Let OP = R.
The area of the whole circle will be = πR²
Given that the sector which intends an angle of 72 degrees in center has area 4π/5.
According to the condition,
(72/360)* πR² = 4π/5
R²/5 = 4/5
R² = 4
R = 2 [since length cannot be negative so the negative value of square root is ignored.]
Hence the length of OP is 2.
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Between 7 am and 11 am the temperature in Antartica increased by 8.4 C. If the temperature at 11 am was -28.3 degrees, what was the temperature at 7 am?
Answer:
the temperature at 7 am was -36.7 degrees.
Step-by-step explanation:
Let's denote the temperature at 7 am by "x". Since the temperature increased by 8.4 C between 7 am and 11 am, we can set up the equation:
x + 8.4 = -28.3
Subtracting 8.4 from both sides, we get:
x = -36.7
Therefore, the temperature at 7 am was -36.7 degrees.
Oak and Maple streets are parallel to each other. Main Street has a traffic
light at (5, 1) and is perpendicular to Oak and Maple. What is the equation
of the line representing Main Street?
Oak St.: y =
A. Y
1
22
+3 Maple St.: y = 22
C. y = -2x + 11
B.y=2x-9
D. y = -2x + 15
+6
The equation of the line representing Main Street is option C. y = -2x + 11
How did we arrive at this equation?The slope of the parallel lines is ½. The Main Street is perpendicular to Oak and Maple. So, the slope of Main Street is -2.
[The product of slopes of perpendicular Lines is -1.)
y - 1 = -2 (x -5)
y - 1 = -2x +10
y = -2x + 10 + 1
y = -2x + 11
Therefore, the best choice is option C. y = -2x + 11
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Since Main Street is perpendicular to Oak and Maple, its slope will be the negative reciprocal of the slope of Oak and Maple. Let's first find the equation of Oak Street.
We don't have enough information to determine the equation of Oak Street, so we need to make an assumption about its equation. Let's assume that Oak Street passes through the point (0,3) and has a slope of 2 (since the options suggest that Oak Street has a positive slope).
Using the point-slope form of a line, we have:
y - 3 = 2(x - 0)
y - 3 = 2x
y = 2x + 3
Now we can find the slope of Maple Street by noticing that it is parallel to Oak Street. Since parallel lines have the same slope, Maple Street also has a slope of 2.
To find the equation of Main Street, we need to use the fact that it passes through the point (5,1). Using the point-slope form of a line, we have:
y - 1 = -1/2(x - 5)
y - 1 = -1/2x + 5/2
y = -1/2x + 7/2
Therefore, the equation of the line representing Main Street is y = -1/2x + 7/2. The answer is (D).
HELPP ASAAP 15 POINTSSS
In the picture below\
in^3 (hint)
The volume of each cup shown above are as follows;
Volume of small cup = 50.24 in³.
Volume of medium cup = 127.56 in³.
Volume of large cup = 226.08 in³.
How to calculate the volume of a cylinder?In Mathematics and Geometry, the volume of a cylinder can be calculated by using this formula:
Volume of a cylinder, V = πr²h
Where:
V represents the volume of a cylinder.h represents the height of a cylinder.r represents the radius of a cylinder.By substituting the parameters, we have:
Volume of small cylinder, V = 3.14 × 2² × 4
Volume of small cylinder, V = 50.24 in³.
Volume of medium cylinder, V = 3.14 × 2.5² × 6.5
Volume of medium cylinder, V = 127.56 in³.
Volume of large cylinder, V = 3.14 × (6/2)² × 8
Volume of large cylinder, V = 226.08 in³.
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A lottery game contains 28 balls numbered 1
through 28. What is the probability of choosing
a ball numbered 29?
The probability of choosing a ball numbered 29 is among the 28 balls numbered 1 through 28 is 0
Probability: Calculating the probability of choosing a ballFrom the question, we are to calculate the probability of choosing a ball numbered 29
From the formula for probability
P(A) = Number of favorable outcomes to A / Total number of possible outcomes
From the given information,
"A lottery game contains 28 balls numbered 1 through 28"
This means there are only 28 balls and they are numbered from 1, 2, 3, up until 28.
Now,
We are to determine the probability of choosing a ball numbered 29. Since there is no ball numbered 29,
Number of favorable outcomes = 0
Total number of possible outcomes = 28
Thus,
Probability of choosing a ball numbered 29 = 0/28
Probability of choosing a ball numbered 29 = 0
Hence,
Probability of choosing a ball numbered 29 is 0
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find the length of the segment and round to the nearest tenth if necessary
Answer:
14
Step-by-step explanation:
line from center to chord bisect chord
so x = 14
Describe the transformation of f(x) to g(x).
A. f(x) is shifted up 1 unit to g(x).
B. f(x) is shifted down pi/2 units to g(x).
C.f(x)is shifted up pi/2 units to g(x).
D. f(x) is shifted up 2 units to g(x).
The transformation of f(x) to g(x) is (a) f(x) is shifted up 1 unit to g(x).
Describing the transformation of f(x) to g(x).From the question, we have the following parameters that can be used in our computation:
The functions f(x) and g(x)
In the graph, we can see that
The graph of g(x) passes through y = 1The graph of f(x) passes through y = 0So, we have
Difference = 1 - 0
Evaluate
Difference = 1
This means that the transformation of f(x) to g(x) is (a) f(x) is shifted up 1 unit to g(x).
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A 52 foot ladder is set against the side of a house so that it reaches up 48 feet. If Jevonte grabs the ladder at its base and pulls it 3 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 45 ft.) Round to the nearest tenth of a foot
The ladder will reach up the side of the house to a height of approximately 47.1 feet.
We can use the Pythagorean theorem to solve this problem. Let x be the distance between the base of the ladder and the house after Jevonte pulls the ladder 3 feet farther from the house. Then, we have a right triangle with legs x and 48 feet, and hypotenuse 52 feet (the length of the ladder).
Using the Pythagorean theorem, we have:
x² + 48² = 52²
Simplifying, we get:
x² + 2304 = 2704
x² = 400
x = 20
Therefore, Jevonte pulls the ladder 3 feet farther from the house, so the ladder is now 23 feet away from the house. The ladder will reach up the side of the house to a height of:
√(52² - 23²) = 47.1 feet (rounded to the nearest tenth)
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Which of the following explains why this inequality is true?
7 3/8 × 4/5 < 7 3/8
The answers I have to choose from are:
A. When 7 3/8 is multiplied by a number greater than 1, the product is more than 7 3/8
B. When 7 3/8 is multiplied by a number greater than 1, the product is less than 7 3/8
C. When 7 3/8 is multiplied by a number less than 1, the product is more than 7 3/8
D. When 7 3/8 is multiplied by a number less than 1, the product is less than 7 3/8.
The correct option is B: The result of multiplying 7 3/8 by a number larger than 1 is less than 7 3/8.
Explain about the term mixed fractions:Once kids have a firm grasp on right fractions, they are exposed to mixed numbers and improper fractions.
Divide the numerator and denominator to create a mixed fractions from an incorrect fraction. The solution to this problem is the whole number portion; the leftover portion is the numerator; its denominator stays the same.
We can convert the two fractions to decimal form in order to compare them.
7.375 is equivalent to 7 3/8, and
4/5 is equivalent to 0.8.
7.375 multiplied by 0.8 results in:
7.375 × 0.8 = 5.9
Since the result is 5.9, which is less than 7.375, it follows that 7 3/8 multiplied by 4/5 is less than 7 3/8.
Thus, the result of multiplying 7 3/8 by a number larger than 1 is less than 7 3/8.
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Find the surface area of the rectangular prism.
Answer: 64
Step-by-step explanation:
multiple all of them
Emergency, please answer me! Are you 18+ because you will get 18 Points? Employees at a construction company are building a fence around the perimeter of a work site! The Perimeter of the work site is 1/4 Mile! The cost of the fence is $20.00 per yard!
What is the total cost of the fence needed for the Perimeter of the work site?
The total cost of the fence needed for the Perimeter of the work site is $8,800. So the answer is option B.
Because the question involves many units of measurement, we must convert them all to the same unit in order to determine the answer.
1/4 mile is equivalent to 1320 feet (1 mile = 5280 feet).
The length of the fence required to surround the work site equals the perimeter of the work site. To calculate the length of the fence in yards, divide 1320 feet by 3 (since a yard is 3 feet long).
1320 feet ÷ 3 = 440 yards
So the length of the fence needed is 440 yards.
The fence costs $20.00 per yard, thus to get the total cost, multiply the length of the fence by the cost per yard:
440 yards x $20.00/yard = $8,800.00
Therefore, the total cost of the fence needed for the perimeter of the work site is $8,800.00.
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Graph the line. y = 4x -2 Which of the following most closely matches your graph? Group of answer choices The line has a positive slope and passes through the x-axis at -2. It also passes through the point (2, 1). The line has a positive slope and passes through the y-axis at -2. It also passes through the point (1, 2). The line has a negative slope and passes through the y-axis at 4. It also passes through the point (2, 0). The line has a positive slope and passes through the y-axis at -2. It also passes through the point (4, -1).
"The line has a positive slope and passes through the x-axis at -2. Additionally, it crosses through point (2, 1).
What are the intercepts of the equation 2x = - 4?The formula in this case is 2x-y = -4. When we set the value of y to 0, we can use this equation to calculate the x-intercept: 2x0=42x=4. When we multiply both sides by 2, we obtain 2x2=42x=2. The x-intercept is therefore -2.
We may use the slope-intercept version of the equation, y = mx + b, where m is the slope and b is the y-intercept, to graph the line y = 4x - 2.
We can observe that the slope is m = 4 and the y-intercept is b = -2 by comparing y = 4x - 2 to y = mx + b.
Starting with the y-intercept of -2 on the y-axis, we can graph line by finding other points on it using the slope of 4.
To get to the point, if we move two units to the right, we must move up eight units. (2, 6). To get to the point, if we move two units to the left, we must move down eight units. (-2, -10).
According to the description and choices given, "The line has a positive slope and passes through the x-axis at -2" is the option that most closely matches our graph. Additionally, it crosses through point (2, 1).
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A study found that 9% of dog owners brush the dogs teeth of 578 tall governors about how many would be expected to brush their dogs teeth?
Answer:
$\boxed{52}$ dog owners would be expected to brush their dog's teeth.
Step-by-step explanation:
Ayudenme a resolver esos 2 problemas, son inecuaciones, ya tengo la respuesta, falta solucion
The solution set for each rational inequality:
Case 1: - 9 ≤ x < - 5
Case 3: Every real number except x = 1.
How to solve a rational inequality
In this problem we find two cases of rational inequality, whose solution sets can be found by using algebra properties and sign laws. Now we proceed to solve on each case:
Case 1
(3 · x + 7) / (x + 5) ≥ 5
(3 · x + 7) / (x + 5) - 5 ≥ 0
[(3 · x + 7) - 5 · (x + 5)] / (x + 5) ≥ 0
(- 2 · x + 18) / (x + 5) ≥ 0
- 2 · (x - 9) / (x + 5) ≥ 0
The inequality is positive for - 9 ≤ x < - 5.
Case 3
(- x² - 1) / (- x² + 2 · x - 1) > 0
[(- 1) · (x² + 1)] / [(- 1) · (x² - 2 · x + 1)] > 0
(x² + 1) / (x² - 2 · x + 1) > 0
(x² + 1) / (x - 1)² > 0
The inequality is positive for all real number except x = 1.
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solve the equation 3x+4/3 - 2x/x-3 =x
x = -6.
Step-by-step explanation:1. Write the equation.[tex]\sf \dfrac{3x+4}{3} -\dfrac{2x}{x-3} =x[/tex]
2. Multiply by "3" on both sides ob the equation.Applying the distributive property of multiplication on the left hand side:
[tex]\sf (3)(\dfrac{3x+4}{3} -\dfrac{2x}{x-3}) =x(3)\\ \\ \\{3x+4} -\dfrac{(3)2x}{x-3}=3x\\ \\ \\{3x+4} -\dfrac{6x}{x-3}=3x[/tex]
3. Multiply by "x-3" on both sides ob the equation.Applying the distributive property of multiplication:
[tex]\sf (x-3)({3x+4} -\dfrac{6x}{x-3})=3x(x-3)\\ \\ \\(x-3)({3x+4}) -6x=3x(x-3)\\ \\ \\(x)(3x)+(x)(4)+(-3)(3x)+(-3)(4) -[6x]=3x(x-3)\\ \\ \\[/tex]
Check the image below to see an illustration of this process.
[tex]\sf 3x^{2} +4x-9x-12 -[6x]=3x(x-3)\\ \\ \\3x^{2} +4x-9x-12 -6x=3x(x-3)\\ \\ \\3x^{2} -11x-12 =3x(x-3)[/tex]
Now simplifying on the right hand side (applying the same logic as last step).
[tex]\sf 3x^{2} -11x-12 =3x(x-3)\\ \\ \\3x^{2} -11x-12 =(3x)(x)+(3x)(-3)\\ \\ \\3x^{2} -11x-12 =3x^{2}-9x[/tex]
4. Add "9x" on both sides of the equation.[tex]\sf 3x^{2} -11x-12+9x =3x^{2}-9x+9x\\ \\ \\3x^{2} -2x-12 =3x^{2}[/tex]
5. Subtract "3x²" from both sides.[tex]\sf 3x^{2} -2x-12-3x^{2} =3x^{2}-3x^{2}\\ \\ \\-2x-12 =0[/tex]
6. Add "12" on both sides.[tex]\sf -2x-12+12=0+12\\ \\ \\-2x=12[/tex]
7. Divide by "-2" ob both sides.[tex]\sf \dfrac{-2x}{-2} =\dfrac{12}{-2} \\ \\ \\x =-6[/tex]
8. Verify the answer.If "x= -6" is the correct answer, substituting "x" by "-6" on the original equation should return the same value on both sides of the equal (=) symbol. Let's test!
[tex]\sf \dfrac{3(-6)+4}{3} -\dfrac{2(-6)}{(-6)-3} =(-6)\\ \\-6=-6[/tex]
That's correct!
x = -6 is the corect answer.
50 Points! Multiple choice algebra question. Photo attached. Thank you!
Log22/Log9 express log_9 22 in terms of common logarithms
What is common logarithms?Common logarithms, is commonly describd as base-10 logarithms.
It is a type of logarithm that involve taking the logarithm of a number with respect to the base of 10.
This means that common logarithms show how many powers of ten must be increased to get a particular number. The usual logarithm of 100, for example, is 2, because 10 raised to the power of 2 equals 100.
The answer provided is based on the full question below;
-------------express log_9 22 in terms of common logarithms
a. Log 22/9
b. Log 198
c. Log22/Log9
d. Log9/Log22
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The question is done below has square roots and exponents. Pretty easy.
Answer: D. -1
Step-by-step explanation:
Your equation:
[tex]\sqrt[4]{(\sqrt[3]{64}) ^{2} } =(\frac{1}{2} )^{x}[/tex] >We are going to work from the inside first then out
The cube root of 64 is 4 because 4*4*4=64
[tex]\sqrt[4]{(4) ^{2} } =(\frac{1}{2} )^{x}[/tex] > 4² = 4*4=16
[tex]\sqrt[4]{(16) } =(\frac{1}{2} )^{x}[/tex] > the 4th root of 16 is 2 because 2*2*2*2=16
[tex]2 =(\frac{1}{2} )^{x}[/tex] > if you have the same bases you can set the
exponents equal. They are not the same but we
are going to make them the same.
[tex]2^{1} =(\frac{1}{2} )^{x}[/tex] > 2 is the same as 2^1, i can make the bases the
same if I can make the 2 a reciprocal. That
happens when I take the negative exponent of the
number
[tex](\frac{1}{2} )^{-1} =(\frac{1}{2} )^{x}[/tex] >Now that my bases are the same, I can make the
exponents =
-1 = x
If sin X degree equals 4/5, what is the value of B?
B=4
B=5
b=6
b=7
The value of B is 6 when the value of sin x degrees equals to 4/5.
In the given triangle diagram, the opposite side of x = 3b
The hypotenuse of the given triangle = 22.5
Given triangle is a right-angled triangle, in trigonometry, we know that in a right-angled triangle the sin x = opposite side of x / hypotenuse side
So, sin x = 3b/22.5
But, the given value is 4/5. So,
3b/22.5 = 4/5
3b = 90/5
3b = 18
b = 18/3
b = 6
From the above explanation, we can conclude that the value of b is 6.
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Find the areas of the trapezoids.
what is the
quotient of 62.72+4.9
Answer:
12.8
Step-by-step explanation:
Quotient means the answer of two things divided.
62.72/4.9=12.8
Find the side lengths of each triangle.
Answer:
9) 36 36 and 36 (all three sides equal)
10) 3.1 3.1 and 3.3 (two sides equal)
Step-by-step explanation:
#9
This is an equilateral triangle so all three sides are equal
Expressions for two of the sides are 6y and 4y + 12
Set these expressions equal to each other and solve for y:
6y = 4y + 12
6y - 4y = 12
2y = 12
y =6
So the side with expression 6y becomes 6 · 6 = 36
Since it is an equilateral triangle, each of the three sides is 36
#10
This is an isosceles triangle with side 2x + 1.7 = x + 2.4
Solve for x:
2x + 1.7 = x + 2.4
2x - x = 2.4 - 1.7
x = 0.7
So the side with x + 2.4 = 0.7 + 2.4 = 3.1 same as the side with 2x + 1.7
The third side with 4x + 0.5 = 4(0.7) + 0.5 = 2.8 + 0.5 = 3.3
So the sides of this triangle are 3.1, 3.1 and 3.3
PLEASE HELP QUICK!! algebra here is screenshot
Answer:
the answer to the question provided is y = x
Which is a recursive formula for this geometric sequence?
-18
, -14
, -12
, -1, . . .
The recursive formula for the geometric sequence is given as follows:
[tex]a_1 = -\frac{1}{8}[/tex][tex]a_n = 2a_{n - 1}[/tex]What is a geometric sequence?A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number called the common ratio q.
The first term of the sequence is given as follows:
[tex]a_1 = -\frac{1}{8}[/tex]
Each term is the previous term multiplied by two, hence the common ratio is given as follows:
q = 2.
Then each term is the previous term multiplied by two, and the recursive rule is given as follows:
[tex]a_n = 2a_{n - 1}[/tex]
More can be learned about geometric sequences at https://brainly.com/question/24643676
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