The expressions presented in options A and D are equivalent to the given expression.
Power Rules
Knowing some of the main power rules.
Multiplication with the same base: you should repeat the base and add the exponents.Division with the same base: you should repeat the base and subtract the exponents.Power. For this rule, you should repeat the base and multiply the exponents.Exponent negative - For this rule, you should write the reciprocal number with the exponent positive.Zero Exponent. When you have an exponent equal to zero, the result must be 1.An algebraic expression is considered equivalent when they are equal.
Thus, for solving this question, you should:
identify which power rules you will applysolve each expression of the questioncheck with the results is equal to the given expression: [tex]7^{-2}*7^6=7^4[/tex]Let's solve each option.
Option A[tex]\frac{7^2}{7^{-2}}[/tex]= 7² *7²= [tex]7^4[/tex] - this equation is equivalent to the given algebraic expression.
Option B[tex]\frac{7^6}{7^{-2}}=7^6*7^2=7^8[/tex] - this equation is not equivalent to the given algebraic expression.
Option C[tex]7^{-12}=\frac{1}{7^{12}}[/tex] - this equation is not equivalent to the given algebraic expression.
Option D(7²)2= [tex]7^4[/tex] - this equation is equivalent to the given algebraic expression.
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An investment of $500 is made at 2.8% nominal yearly interest compounded quarterly. Write an equation that models the amount A the investment is worth t years after the principal has been invested
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra IFunctions
Function NotationCompounded Interest Rate Formula:
[tex]\displaystyle A = P \bigg( 1 + \frac{r}{n} \bigg) ^t[/tex]
Let's compile what we know (what we are given).
An investment of $500 means that our principle amount P equals 500.
2.8% nominal yearly interest means that our rate r equals 0.028.
Compounded quarterly means that our compounded rate n equals 4.
So, we have:
[tex]\displaystyle\begin{aligned}P & = 500 \\r & = 0.028 \\n & = 4 \\\end{aligned}[/tex]
Step 2: WorkIn order to find an equation that models the final amount A in terms of t years, we can simply substitute in our known variables:
[Compounded Interest Rate Formula] Substitute in variables:∴ our equation that models the amount A the investment is worth t years after the principle has been invested is:
[tex]\displaystyle \boxed{ A = 500(1.007)^t }[/tex]
___
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___
Topic: Algebra I
Unit: Interest Rate Formulas
what is the purpose of the permutation test? group of answer choices for hypothesis testing of mean, median, and quartiles, it is used to synthesize the population distribution of the statistic of interest for hypothesis testing of mean, median, and quartiles, it is used to synthesize the sampling distribution under the null
Permutation test is used to synthesize the population distribution of the statistic of interest for hypothesis testing of mean, median, and quartiles
An estimation of the population distribution—the distribution from which our observations originated—is the goal of a permutation test. We can then calculate how uncommon our observed values are in comparison to the population.
I find the permutation test to be more natural, and it only relies on the assumption of random assignment of treatment groups.
In a permutation test, you compare the observed test statistic to the distribution of values
you get when the treatment group assignments are shuffled/randomized/permuted.
The null hypothesis that two distinct groups originate from the same distribution is tested using permutation tests, also known as exact tests, randomization tests, or re-randomization tests. A permutation test can be used for hypothesis testing or significance testing (including A/B testing) without requiring any presumptions to be made about the distribution of the samples, such as that the samples must be normally distributed.
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if abc is 1 degree and 25' what is acd? give your answer in degrees and minutes
If abc is 1 degree and 25', the angle ACD is 178° 35'.
What is angle?An angle is a figure in Euclidean geometry formed by two rays, called the sides of the angle, that share a common endpoint, called the vertex of the angle. Angles formed by two rays lie in the plane that contains the rays. Angles are also formed by the intersection of two planes. These are termed dihedral angles. An angle is generated when two straight lines or rays meet at a shared terminus. The common point of contact is called the vertex of an angle.
Here,
∠ACB and ∠ACD are supplementary, so they add up to 180°.
First, convert to degrees (there are 60 minutes in a degree).
∠ACB = 1°25' = 1° + (25/60)° = 1.4167°
Now find the supplementary:
∠ACD = 180° − 1.4167°
∠ACD = 178.5833°
∠ACD = 178° 35'
The value of angle ACD is 178° 35' if abc is 1 degree and 25' .
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Help me on this problem!
Answer:
B. Since [tex]\triangle ABC \cong \triangle DEF[/tex] by SSS and [tex]\triangle DEF \cong \triangle GHJ[/tex] by SAS, [tex]\triangle ABC \cong \triangle GHJ[/tex] by the Transitive Property of Congruence.
The congruent statement and the reason why the triangles are congruent is (b) Since AC ≅ GJ and CB ≅ JH, AB must be congruent to GH. So, ABC ≅ GHJ by SSS
How to determine the congruent statement and the reason?From the question, we have the following parameters that can be used in our computation:
Triangles = ABC, DEF and GHJ
There are several theorems that make any two triangles to be congruent
One of these theorems is the SSS congruent theorem
The SSS congruent theorem implies that the corresponding sides of the triangles in question are congruent
From the question, we can see that the following corresponding sides on the triangles ABC and GHJ have the same mark
AC and GJ
CB and JH
This implies that these sides are congruent sides
For the triangle to be congruent by SSS, the following angles must also be congruent
AB must be congruent to GH
Hence, the congruent statement on the congruency of the triangles is (d)
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q. jenny can walk 4 miles in (m 3) minutes. at that pace, how many miles can she walk in 15 minutes?
If she moves at a speed of 1.33 miles per minute while walking 4 miles in 3 minutes, she can cover 20 miles in 15 minutes.
What is division?A number is divided in division, which is a straightforward procedure. The simplest way to conceptualize it is as a set of objects being distributed among a set of individuals, as in the example given above. In mathematics, division is the process of dividing a number into equal parts and calculating the maximum number of equal parts that may be formed. For instance, dividing 15 by 3 results in the division of 15 into 3 groups of 5 each.
Here,
In 3 minutes, she walk 4 miles,
speed=distance/time
=4/3 miles/minute
distance=speed*time
=4/3*15
=20 miles
She can walk 20 miles in 15 minutes if she walks 4 miles in 3 minutes with a speed of 1.33 miles/minute.
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What is the range of the function?
f(x)=3^x-1 -6
Enter your answer, in interval notation, in the box.
range:
The range of the function is (-6 , ∞)
What is function ?
An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable (the dependent variable).
An example of a rule is a function, which produces one output for a single input. Alex Federspiel is the picture's author. Y=X2 is an illustration of this. You only get one output for y if you enter anything for x. The fact that x is the input value leads us to say that y is a function of x.
Functions can be roughly categorized into four sorts. based on the element Numerous to one function, onto function, one to one and onto function, into function.
[tex]3^{x - 1} > 0[/tex] for x ∈ R
Subtracting both sides by 6
[tex]3^{x - 1} - 6 > 0 - 6[/tex]
[tex]3^{x - 1} - 6 > - 6[/tex]
f (x) > -6
Range = (-6 , ∞)
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5(2x-3) < 35, the solution set is {x|x <(blank) }
Answer:
x<5
Step-by-step explanation:
5(2x-3) < 35
_____ ___
5 5
2x-3<7
2x<10
_ _
2x 2x
x < 5
what is the principal of a 10-month, 8% note that will earn $800 of interest?
Principal will be $1000
Given values
Simple interest, SI= $800
Interest rate, R=8%
Time, T=10 months
Principle, P= Y
As we know;
[tex]Simple Interest, SI=P×R×T[/tex]
By substituting the values, we get
$800= Y ×8% ×10
$800=0.8Y
$800÷0.8= Y
$1000=Y
Thus the above response is correct.
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Two dice are rolled. Determine the probability of the following. ("Doubles" means both dice show the same number. Enter your probability as a fraction.)
rolling a number greater than 5 or doubles
The probability of rolling a number greater than 5 or doubles will be 0.78.
What is probability? What is a mathematical equation? What do you mean by domain and range of a function?The formula to calculate the probability of occurrence of an event [A] can be written as -P(A) = n(A)/n(S)
where -
n(A) = Number of outcomes favorable to event A.
n(S) = Total number of outcomes.
A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.We have two dices are rolled.
The sample space for sum greater than 5 will be 26. For doubles, we will add 2 pairs (1, 1) and (2, 2) to 26 to get a total sample space of 28. Remaining doubles are already in 26. So, the probability of rolling a number greater than 5 or doubles will be -
P(A) = 28/36 = 0.78
Therefore, the probability of rolling a number greater than 5 or doubles will be 0.78.
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[Question in english -
From a point on the ground located 4m from a pole, its upper part can be seen with an elevation angle of 37°. What is the height of the pole?]
If y=tan u, u=v-1/v, and v=lnx, what is the value of dy/dx at x=e?
The partial derivative dy/dx at x = e is given as follows:
[tex]\frac{dy}{dx}(e) = -\frac{2}{e}[/tex]
How to obtain the partial derivative?The function in this problem is defined as follows:
y = tan(u).
The function y is a function of the variable u, which is a function of the variable v, which is a function of variable x, then the function of variable x can be written as follows:
[tex]y = \tan{\left(\ln{x} - \frac{1}{\ln{x}}\right)}[/tex]
Then, applying the chain rule, the derivative is the derivative of the outer tangent function multiplied by the derivative of the inner ln function.
The inner function is of:
[tex]\ln{x} - \frac{1}{\ln{x}}[/tex]
Which has a derivative of:
[tex]\frac{1}{x} + \frac{1}{x\ln^2{x}}[/tex]
The outer tangent function has a derivative of:
-sec²(x).
Then the complete derivative is of:
[tex]\frac{dy}{dx} = -\sec^2{\left(\ln{x} - \frac{1}{\ln{x}}\right)} \times \left(\frac{1}{x} + \frac{1}{x\ln^2{x}}\right)[/tex]
At x = e, the numeric value of the derivative is given as follows:
[tex]\frac{dy}{dx}(e) = -\sec^2{0} \times \frac{2}{e}[/tex]
[tex]\frac{dy}{dx}(e) = -\frac{2}{e}[/tex]
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Lillian bought snacks for her team's practice. She bought a bag of apples for $2.36 and a 4-pack of juice bottles. The total cost before tax was $6.48. How much was each bottle of juice?
The price of each bottle of juice is $1.03
What is an equation?
A mathematical expression with an equals sign is referred to as an equation. Algebra is widely used in equations. When performing calculations but unsure of the precise amount, algebra is used.
Let 'x' be the price of each bottle of juice. Then,
According to the question,
2.36 + 4x = 6.48
or, 4x = 6.48 - 2.36
or, 4x = 4.12
or, x = 4.12/4
or, x = 1.03
Hence, the price of each bottle of juice is $1.03
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Which of the following pairs of linear equations are consistent or inconsistent XY 8 3x -- 3y 16?
The equations have no solutions and run parallel to one another. The pair of linear equations is hence inconsistent.
What are linear equations?Examples of linear equations include 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, and 3x - y + z = 3.
The definition of linear equations, the standard form for linear equations involving one variable, two variables, or three variables, and examples of each will all be covered in detail in this article.
Find the value of the variable that causes the equation to be true in order to solve linear equations.
Utilize the inverse of the variable's multiplier and divide or multiply both sides by it.
To obtain the variable value, simplify the result. Put your solution back into the equation to verify it.
So, we have the pair of linear equations:
x – y = 8 and 3x – 3y = 16
(a1/a2) = 1/3
(b1/b2) = -1/-3 = 1/3
(c1/c2) = 8/16 = 1/2
Since, we know that (a1/a2) = (b1/b2) ≠ (c1/c2).
The equations have no solutions and run parallel to one another. The pair of linear equations is hence incoherent.
Therefore, the equations have no solutions and run parallel to one another. The pair of linear equations is hence inconsistent.
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Complete question:
Find out whether the following pairs of linear equations x – y = 8 and 3x – 3y = 16 are consistent/inconsistent.
How many solutions can be found for the linear equation 4(2x+3)=2(4x+6)
Answer:
All real numbers are solutions
Step-by-step explanation:
Open the bracket
4(2x+3)=2(4x+6)
8x +12=8x +12
8X-8X=12- 12
=0
The equation is an identity hence, all real numbers are solutions(1,2,3,4 etc)
Select the values that make the inequalityt > -1 true.
(Numbers written in order from least to greatest going across.)
The values that make v ≥ 1 inequality true are 2, 3, 4, 5....
What is inequality in mathematics?
In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
The inequality is given as:
v ≥ -1
The values of c for which the given inequality → v ≥ -1 is true will belong to the set (say A) -
A = [-1, - ∞)
Therefore, we have to select all numbers which fall in this set. The numbers are
-1, 0, 1, 2, 3,....
Rewrite properly as:
v ≥ 1
The above means that the true values of v are values greater than 1.
Hence, the values that make v ≥ 1 inequality true are -1, 0, 1 , 2, 3, 4, 5....
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Equation for
You have c pieces of candy to share equally among 5 people. If
each person gets 32 pieces of candy, how much candy did you start
with?
Answer:
53 candy
Step-by-step explanation:
Doug bought a new car for $25,000. He estimates his car will depreciate, or lose value, at a rate of 20% per year. The value of his car is modeled by the equation V=P(1-r)^t, where V is the value of the car, P is the price he paid, r is the annual rate of depreciation, and t is the number of years he has owned the car. According to the model, what will be the approximate value of his car after 4 1/2 years
According to the equation model V=P(1-r)^t, the approximate value of Doug's car after 4¹/₂ years is $9,200.
What is the equation?The equation is a mathematical statement or model that shows that two mathematical expressions are equal.
In this situation, the mathematical expressions equal to each other are V, the car's depreciated value, and P(1-r)^t, which combines variables.
Cost of the new car = $25,000
Depreciation rate per annum = 20%
Value of the car = V
The price paid initially = P = $25,000
The annual rate of depreciation = r
Depreciation period = 4¹/₂ years
Equation model: V=P(1-r)^t
Depreciated value after 4 1/2 years, V = $25,000 (1 - 0.2)^4¹/₂
= $9,158.93
= $9,200
Thus, using the equation model, after 4¹/₂ years, the value of Doug's car has depreciated to $9,200.
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Microsoft Excel Assessment Which chart type can display two different data series as different series types within the same chart? 60% 50% 4096 30% 20% 11 10% 0% France Austria Spain Germany Portugal Forested area (%) Agricultural land (%) bubble chart
An Excel Combo Chart can display two different data series as different series type. A single Excel chart with two Y-axis that allows users to compare data is known as a combo chart.
How do you arrange data in a combo chart?
Step 1: Arrange the data in the worksheet's columns and rows.
Step 2: Choose the information.
Step 3: Click the Combo chart icon on the Ribbon under the Charts group on the INSERT tab.
Step 4: Click each icon with your mouse.
step 5 Double-click the chart type that suits your data.
What is a combo chart?A combo chart combines two column charts, two line graphs, or a column chart and a line graph into one visual representation.
An Excel Combo Chart can display two different data series as different series type. A single Excel chart with two Y-axis that allows users to compare data is known as a combo chart.
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Write an explicit
formula for an, the nth term of the sequence 2, 4, 8, ..
Answer:
formula: Tn=a+(n-1)d
Step-by-step explanation:
Tn=2+(n-1)2
what is the quadratic equation in standard form with rational coefficents that has a root of 5+4i?
Answer:
x^2 -10x + 41 = 0
Step-by-step explanation:
They gave you a root. A root is a solution, is a zero, is an x-intercept(if real).
This is a working backwards problem. They gave you an answer and want the equation back again.
x = 5 + 4i
working backwards:
x - (5 + 4i) = 0
x - 5 - 4i = 0
This left side is a factor of your equation.
If 5+4i is a root then 5-4i is also a root. So do the same thing:
x = 5 - 4i
x - (5 - 4i) = 0
x - 5 + 4i = 0
x - 5 + 4i and
x - 5 - 4i are the factors. Multiply them together to find the quadratic equation. Use distributive property or difference of squares or an area model to model. See image.
Answer:
x² - 10x + 41 = 0
Step-by-step explanation:
complex roots occur as a conjugate pair.
given x = 5 + 4i , then x = 5 - 4i is also a root
the corresponding factors are
(x - (5 + 4i) ) , (x - (5 - 4i) ) , that is
(x - 5 - 4i) and (x -5 + 4i)
the quadratic equation is then the product of the factors, that is
(x - 5 - 4i)(x - 5 + 4i) = 0
multiply each term in the second factor by each term in the first factor.
x² - 5x + 4ix - 5x + 25 - 20i - 4ix + 20i - 16i² = 0 ← collect like terms
x² - 10x + 25 - 16i² = 0 [ note i² = - 1 ]
x² - 10x + 25 + 16 = 0
x² - 10x + 41 = 0 ← in standard form
A trapezoid has an area of 35 mm2. What is the height of the trapezoid?
The height of the trapezoid is 5mm.
What is a trapezoid?
A trapezoid is a quadrilateral in American and Canadian English that has at least one pair of parallel sides. It is referred to as a trapezium in British and other varieties of English.
In Euclidean geometry, a trapezoid is invariably a convex quadrilateral. The trapezoid's parallel sides are referred to as its bases. If the remaining two sides are parallel, the trapezoid is a parallelogram and has two pairs of bases; if not, they are referred to as the legs (or lateral sides). A scalene trapezoid is a trapezoid without equal-sized sides.
Given: Area of trapezoid = [tex]35mm^{2}[/tex]
We know, area of trapezoid = [tex]\frac{(a+b)}{2} .h[/tex]
⇒ [tex]\frac{(8+6)}{2} .h=35[/tex]
⇒ [tex]7h=35[/tex]
⇒ [tex]h=5mm[/tex]
Hence, the height of the trapezoid is 5mm.
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Which of the following values is not an irrational number?
1.73 repeating where the 3 is repeating, pi, the cube root of 90, and the square root of 60
1.73 repeating where the 3 is repeating
π
the cube root of 90
the square root of 60
All of the given numbers are irrational numbers.
What is an Irrational number:A real number that can't be stated as a ratio of integers is said to be an irrational number. In simple words, an Irrational number is a number that cannot be represented as p/q where q ≠ 0.
An irrational number's decimal expansion is neither ending nor recurrent i.e the decimal expansion of an irrational number will be a Non-terminating decimal number.
Here are some examples of Irrational Numbers
Here we have
[tex]1.7 \overline {3}[/tex] , π, ∛90, and √60
If we observe the given numbers
[tex]1.7 \overline {3}[/tex] = 1.73333333..... is a Non -terminating decimal number
π is an example of an irrational number
∛90 cannot be represented as a p/q form
√60 = √4 × 15 = 2√15 where √15 is an irrational number
From above information
The given numbers π, √90, and √60 all are irrational numbers
Therefore,
All of the given numbers are irrational numbers
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What conditions are necessary to use the chi-square goodness-of-fit test?
The chi-square goodness-of-fit test is a statistical test that is used to determine whether a sample comes from a population with a specific distribution. There are a few conditions that must be met in order to use this test:
1. The data must be collected from a random sample. This ensures that the sample is representative of the population, which is necessary for the test to be valid.
2. The data must be categorical. This means that the observations must fall into distinct categories, rather than being continuous or ordinal.
3. The expected frequencies for each category should be at least 5. This ensures that the chi-square test statistic is approximately normally distributed, which is necessary for the test to be valid.
4. The data must be independent. This means that the outcome of one observation should not influence the outcome of another observation.
If these conditions are not met, the chi-square goodness-of-fit test may not be appropriate. In such cases, it may be necessary to use a different statistical test.
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please help me slove these problems!! offering 30 points for good answers and explanation on it
here's two, I used mathday but day with a w
Step-by-step explanation:
good website for it and it gives good explanation! Gl
I need help with this someone please explain it to me
The length of the Antenna will be;
⇒ h = 18 meters
What is Proportional?
Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.
Given that;
Tyler is 1.8 meters and his shadow is 6 meters.
And, Tyler is standing 54 meters from the antenna.
Now,
Since, Tyler is 1.8 meters and his shadow is 6 meters.
And, Tyler is standing 54 meters from the antenna.
Let the length of the Antenna = x
Hence, We get by definition of proportional, we get;
⇒ 1.8 / 6 = h / (54 + 6)
⇒ 0.3 = h / 60
⇒ h = 0.3 × 60
⇒ h = 18 meters
Thus, The length of the Antenna will be;
⇒ h = 18 meters
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What is the area of a rectangle 3 meters long and 7 meters high
Answer:
21 sq. meters
Step-by-step explanation:
you just need to multiply the width and the height, so 3x7.
3x7=21
Answer: 21m^2
Step-by-step explanation:
The equation finds the area of a rectangle is
Area= Width times Height
So take 7 times 3 = 21 m^2
Martha loves to wear socks with crazy patterns. She finds a great deal for these kinds of socks at her favorite store, Rock Those Socks. There is a proportional relationship between the number of pairs of socks that Martha buys, x, and the total cost (in dollars), y.
Martha can buy 2 pairs of socks for $6. Write the equation for the relationship between x and y.
The equation which represent the proportional relationship between the number of pairs of socks that Martha buys, x, and the total cost (in dollars), y is y = bx
How to write equation?Number of pairs of socks that Martha buys = xTotal cost (in dollars) = yy = bx
Where,
b = constant
If y = $6 and x = 2 pairs
y = bx
6 = b × 2
6 = 2b
divide both sides by 2
b = 6/2
b = 3
In conclusion, the proportional relationship between number of pairs of socks that Martha buys, x, and the total cost (in dollars), y is y = bx
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Just number 4 pleaseee
Answer:
blip
Step-by-step explanation:
blipgg
How do I use DeMoivre's theorem to find (1−i)^10?
−32i is the answer if you use DeMoivre's theorem to find (1−i)^10.
A formula for determining the powers of complex numbers is provided by De Moivre's theorem. It might be easier to comprehend de Moivre's theorem if we first look at what happens when we multiply a complex number by itself. This illustrates how the argument is multiplied by two and the absolute value is squared when squaring a complex number.
One of the most important and useful theorems in the study of complex numbers is DeMoivre's Theorem, which combines trigonometry with complex numbers. It's also helpful to find relationships between trigonometric functions at different angles. The name of the theorem pays homage to the well-known mathematician De Moivre, who made several contributions to mathematics, notably in the areas of probability theory and algebra. Attached below is the answer.
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Determine if the table shows a proportional relationship.
IT'S DUE TOMORROW
x 18.6 54.3 58.8
y 6.2 18.1 19.6
Yes, it is proportional because all y over x ratios are equivalent to one third.
Yes, it is proportional because all y over x ratios are equivalent to one fourth.
No, it is not proportional because 18.6 over 6.2 does not equal 18.1 over 54.3.
No, it is not proportional because 18.1 over 54.3 does not equal 58.8 over 19.6.
It is proportional because all y over x ratios are equivalent to one-third. I.e., the proportionality constant of the given table is k = 1/3.
How to determine the proportionality relationship?The proportionality relationship between two variables is determined by its proportionality constant. The proportionality constant is the ratio of y over x.
I.e., k = y1/x1 = y2/x2 = y3/x3 = ... = yn/xn
Calculation:The given data table is as follows:
x - 18.6, 54.3, 58.8
y - 6.2, 18.1, 19.6
So, the proportionality constant is calculated as
y1/x1 = 6.2/18.6 = 1/3
y2/x2 = 18.1/54.3 = 1/3
y3/x3 = 19.6/58.8 = 1/3
Since all three ratios are the same, then the data in the table are proportional to each other.
Therefore, option A is correct.
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If m∠ XYZ=68 and m∠ WXZ=71, find m∠ WZX
The measure of angle WZX is given as follows:
m < WZX = 41º.
How to obtain the angle measure?The measure of angle XYZ is of 68º, hence, due to the bisection, we have that:
m < WYZ = 34º.m < ZYX = 34º.The measure of angle WXZ is of 71º, hence the measure of angle WXY is found as follows:
m < 2 x 71 = 142º.
(as the bisection of angle X means that it is divided into two parts of equal measure).
As the figure is a parallelogram, the opposite angles have the same measure, thus the measure of angle WZY is given as follows:
m < WZY = 142º.
Then, applying the bisection, the measure of angle WZX is given as follows:
m < WZX = 0.5 x 142º = 41º.
More can be learned about angle measures at https://brainly.com/question/25716982
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