Answer this to be Donkey Kong's friend

Answer This To Be Donkey Kong's Friend

Answers

Answer 1

36x + 324 - 28x + 196

combine like terms: 36x - 28x = 8x and 324 + 196 = 520

8x+520


Related Questions

What are the main types of inequalities Class 6?

Answers

Some types of inequalities that are commonly discussed include economic inequality, educational inequality, social inequality and, racial and ethnic inequality.

Economic inequality: This refers to the unequal distribution of wealth, income, and resources among individuals or groups within a society. It often results in a small group of individuals or families owning a disproportionate amount of wealth and controlling the majority of resources.

Educational inequality: This refers to the unequal access to quality education among individuals or groups within a society. It can result in a lack of educational opportunities for those from lower socio-economic backgrounds, which can limit their chances for higher-paying jobs and career advancement.

Healthcare inequality: This refers to the unequal access to quality healthcare among individuals or groups within a society. It can result in poorer health outcomes and increased health disparities for those from lower socio-economic backgrounds.

Social inequality: This refers to the unequal distribution of social status, power, and privilege among individuals or groups within a society. It can result in discrimination, prejudice and bias against certain groups, leading to reduced opportunities and access to resources.

Racial and Ethnic inequality: This refers to the unequal distribution of resources and opportunities among individuals or groups based on their race or ethnicity. It can result in discrimination and racism, leading to reduced opportunities and access to resources.

It's important to note that these types of inequalities often overlap and interact with one another, creating complex and interconnected forms of disadvantage.

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Rewrite the expression with rational exponents √6

Answers

We can rewrite the expression by using a rational exponent as:

[tex]\sqrt{6} = 6^{1/2}[/tex]

How to rewrite the expression?

We know that all roots can be written as exponents, such that:

[tex]\sqrt[n]{x} = x^{1/n}[/tex]

Particularly, if there is no upper index on the root, then it is a square root, and the exponent corresponding to the square root is 1/2.

Here we want to rewrite the expression:

[tex]\sqrt{6}[/tex]

Using what we saw above, we can rewrite this as:

[tex]\sqrt{6} = 6^{1/2}[/tex]

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Create a rectangle ABCD on a coordinate plane that meets the following conditions:

1. all four points are in different quadrants
2. point A is in Quadrant Il with coordinates (-a, b)
3. the distance from point A to point B is 3a
4. the distance from point A to point D is 4b
5. neither axis is a line of symmetry in the rectangle

Answers

Therefore , the solution of the given problem of expression comes out to be 794.0481.

Describe expression.

combinations of numbers, symbols, and operations (such + and) that show how much something is worth. Examples: • 2 + 3 is the formula.

Here,

3 x/2 variable  is another formula.There is no equals sign in the expression. A mathematical expression is a sentence made up of variables, numbers, or both. There is never an equal symbol in an expression. These expressions are examples. An equation is a mathematical statement proving the equality of two expressions.

Given : 5 +

=> 5 + (5.3)*(5.3)*(5.3)*(5.3)

=> 789.0481 + 5

=> 794.0481

Therefore , the solution of the given problem of expression comes out to be 794.0481.

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On solving the provided question, we can say that a rectangle ABCD on a coordinate plane, point A is in Quadrant Il with coordinates (-a, b), the distance from point A to point B is 3a

What is rectangle?

A rectangle in Euclidean plane geometry is a quadrilateral with four right angles. You might also describe it as follows: a quadrilateral that is equiangular, which indicates that all of its angles are equal. The parallelogram might also have a straight angle. Squares are rectangles with four equally sized sides. A quadrilateral of the shape of a rectangle has four 90-degree vertices and equal parallel sides. As a result, it is sometimes referred to as an equirectangular rectangle. Because its opposite sides are equal and parallel, a rectangle is also known as a parallelogram.

a rectangle ABCD on a coordinate plane,

point A is in Quadrant Il with coordinates (-a, b).

the distance from point A to point B is 3a

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Which measure of center should Raul use to calculate his overall performance if he hits a line drive to the outfield on each pitch?

Answers

Since the distribution of the 10 distances is not uniform, Raul should use the median to determine his total performance.

What is median?

The median is the value that divides a data sample, a population, or a probability distribution's upper and lower halves in statistics and probability theory.

It could be referred to as "the middle" value for a data set.

The fundamental difference between the mean and the median when describing data is that the median is more representative of the "normal" value because it is not skewed by a tiny fraction of exceptionally big or small values.

Due to the fact that income distribution can be very skewed, the median income, for instance, might be a better indicator of what is considered a "normal" income.

Given that it is the most resilient statistic, the median is crucial to strong statistics.

According to our question-

The home run is an outlier in the data set even if nine lengths are grouped together.

The median is the most accurate indicator of the middle of a data collection including outliers.

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Sarah dilutes grape juice for her two-year-old sister. She uses 1/4 cup of grape juice for every 2/3 cup of water.

How much grape juice does Sarah use for each cup of water?
A 1/6 cup
B 3/4 cup
C 3/8 cup
D 1 1/2 cup

Answers

Answer:

3/8 cup

Step-by-step explanation:

1 cup water = 2/3 cup water * 3/2

x = 1/4 cup grape juice * 3/2

1/4 * 3/2 = 3/8

What is equation simple?

Answers

An equation in algebra is a mathematical statement that proves the equality of two mathematical expressions.

what is equations ?

An equation in algebra is a mathematical statement that proves the equality of two mathematical expressions. Take into consideration the equation 3x + 5 = 14, in which 3x + 5 and 14 are two expressions that are separated by the word "equal." The standard form, slope-intercept form, and point-slope form are the three primary formats for linear equations. In a mathematical expression known as an equation, the equals sign appears. Algebra is used in a variety of equations. When you don't know how much to compute in math, you use algebra to approximate the answer.

given

Take into consideration the equation 3x + 5 = 14, in which 3x + 5 and 14 are two expressions that are separated by the word "equal."

The standard form, slope-intercept form, and point-slope form are the three primary formats for linear equations.

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The graph below shows how much money Isaac earns by washing cars. 1. Explain if the graph above displays a proportional relationship, including evidence to support your reasoning. 2. Explain what the coordinate shown on the line represents given the problem context provided. ​

Answers

1. The graph will represent a proportional relationship if these two following statements are correct.

The intercept is of zero.The slope of the line is constant.

2. The coordinate (x,y) represents the amount of money y earned for washing x cars.

What is a proportional relationship?

A proportional relationship is a linear function with an intercept of zero modeled as follows:

y = kx.

In which k is the constant of proportionality.

The input and output variables for this problem are given as follows:

Input x: number of cars washed.Output y: amount of money earned.

Hence the coordinate (x,y) represents the amount of money y earned for washing x cars.

Missing Information

The problem is incomplete, hence the answer is given in general terms using concepts of proportional relationships.

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235.20= 7(0.06m +25.80 +0.10(25.80))

Answers

By solving the given expression we get the value of M is 87.

What is the linear equation?

A linear equation is an algebraic equation of the form y=mx+b. where m is the slope and b is the y-intercept.

7(0.06m+ 25.80 +0.10 (25.80))

7(0.06m+ 25.80 + 2.58)

7(0.06m+ 28.38)

7(0.06m+ 28.38)

7 0.06m+ 7·28.38

0.42m+ 198.66

In this case, we need to get the value for m

235.20=0.42m+ 198.66

If we place the m value of 87,

=0.42×87+198.66

= 235.20

When an equation is solved symbolically, expressions can be employed to represent the solutions.

For example, the phrase x = y + 1 solves the equation x + y = 2x – 1 for the unknown x, since substituting y + 1 for x in the equation results in (y + 1) + y = 2(y + 1) – 1, which is a true assertion.

Therefore, the value of M is 87.

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How do you write 4 exponents?

Answers

The four main types of Exponents that can be written are Positive Exponents , Negative Exponents , Zero Exponents and Rational Exponents .

What are Exponents ?

The Exponents are defined as a method to express large numbers in terms of powers which means, that exponent refers to how many times the number is  multiplied by itself.

The Four Main types of Exponents are listed below :

(i) Positive Exponents : The Positive exponents tell us about how many times we multiply the base by itself. The result of the positive exponent is generally a very large number. For Example : [tex]x^{82} , x^{9}[/tex] .

(ii) Negative Exponent : The Negative exponents tell us about how many times to divide the base by itself. The result of the negative exponent is generally a very small number. For Example : [tex]x^{-82} , x^{-9}[/tex] .

(iii) Zero Exponent :  The Zero Exponent is the expression in which the power is 0 , and the result of the zero exponent is always 1 . For Example : [tex]x^{0}=1[/tex] .

(iv) Rational Exponent : The Rational Exponent means that there is a fraction present in the exponent. For Example : [tex]x^{\frac{1}{2} } ,y^{\frac{2}{3} }[/tex] .

The given question is incomplete , the complete question is

How do you write the 4 types of Exponents ?

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Which are two solutions for the given equation 3x 4y 7?

Answers

The solutions of the given equation  are given below:

(i) 3x+4y =7

(ii) x=6y

(iii) x+πy =4

(iv) x-y =4

All these equations are having infinitely many solution.

Infinitely Many solution:

An equation can have an infinite number of solutions if certain conditions are met. If the lines are coincident and have the same y-intercept, the system of equations has infinitely many solutions. If two lines have the same y-intercept and slope, they are really on the same line.

(i) Given :

3x + 4y = 7                        --------------------------- (1)

On putting x = 0 in equation 1

3x + 4y = 7

⇒ 3 × 0 + 4y = 7

⇒ 0 + 4y = 7

⇒ 4y = 7

⇒ y = 7/4

Therefore, ( 0, 7/4) is a solution of given equation.

On putting y = 0 in equation 1

3x + 4 × 0 = 7

⇒ 3x + 0 = 7

⇒ 3x = 7

⇒ x = 7/3

Thus, (7/3, 0) is a solution of given equation.

Hence, 2 out of the infinitely many solutions of the given equation are(0,7/4), (7/3,0).

 

(ii) x = 6y

Let x = 0

⇒ x = 6y

⇒ 0 = 6y

⇒ y = 0/6

⇒ y = 0

(0,0) is the solution.

Let x = 1

⇒ x = 6y

⇒ 1 = 6y

⇒ y = 1/6

(1,1/6) is the solution.

Hence, 2 out of the infinitely many solutions of the given equation are (0,0), (1,1/6).

(iii) x + πy = 4

let x = 0

⇒ x + πy = 4

⇒ 0 +  πy = 4

⇒ πy = 4

⇒ y = 4/π

(0, 4/π) is the solution.

Let y = 0

⇒ x + πy = 4

⇒ x + 0(y) = 4

⇒ x  + 0 = 4

⇒ x = 4

(4, 0) is the solution.

Hence, 4 out of the infinitely many solutions of the given equation are (0, 4/π), (4, 0).

(iv) x - y = 4

Let x = 0

⇒ x - y = 4

⇒ 0 - y = 4

⇒ -y = 4

⇒ y = - 4

(0,- 4) is the solution.

Let x = 1

⇒ x - y = 4

⇒ 1 - y = 4

⇒ -y = 4 - 1

⇒ -y = 3

⇒ y = - 3

(1,- 3) is the solution.

Hence, 4 out of the infinitely many solutions of the given equation are(0,- 4), (1,- 3).

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What is the solution to the system of equations y 1.5 x 4 y =- 4?

Answers

The solution to the given equations y = 1.5x - 4, y = -4 is (0, -4).

We can solve the given system of equations by the substitution method.

The substitution method is the algebraic approach to solving simultaneous linear equations. As the word tells, in this method, the value of one variable from one equation is substituted in the other equation and gets the value of the one variable.

y = 1.5x - 4     eqn(1)

y = -4       eqn(2)

Put the value of y in eqn(2)

- 4 = 1.5x - 4

Solve the above equation for x, by transferring the terms,

1.5x = - 4 + 4

1.5x = 0

x = 0

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Find the median, Q1, Q3, interquartile range (IQR), and list any outliers. 1. 72, 32, 74, 66, 71, 45, 38, 49, 66, 69, 75, 34, 102 Median: Q3: QI: IQR:

Answers

Answer:

Step-by-step explanation:

Idl

is 3(5a + 9) + 5a and 4(5a+6) equivalent

Answers

No, 3(5a + 9) + 5a and 4(5a+6) are not equivalent

What are equivalent expressions ?

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value(s) for the variable(s).

To know if 3(5a + 9) + 5a and 4(5a+6) are equivalent, we simplify both expressions and see if they will have result

simplifying 3(5a + 9) + 5a;

by opening the parentheses

15a+27+5a

collecting like terms

20a+27

simplifying 4(5a+6);

by opening the parentheses,

20a + 24

Therefore 20a + 27 is not thesame as 20a+24. This means 3(5a + 9) + 5a is not equal to 4(5a+6).

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Mario and Russell plot a triangle on a coordinate grid and then perform a
rotation and a translation. Russell thinks the original triangle and final triangle
are congruent but Mario disagrees. Which student is correct and why?
Russell is correct. Since neither rotations no translations preserve distance, the
triangles are congruent.
O Mario is correct. Since neither rotations not translations preserve distance, the
triangles are not congruent.
Mario is correct. Since both rotations and translations preserve distance, the triangles
are congruent.

Russell is correct. Since both rotations and translations preserve distance, the
triangles are congruent.

Answers

The right answer is SSS since two triangles are said to be congruency when each of their three sides and Mario is correct.

How can you show a triangle is congruent?

Triangles are said regarded as being congruent if their size and shape actually match exactly. The word "congruent" contains the sign. When a triangle's three sides and three angles match those of a another triangle's three sides and three angles, two triangle are said to be congruent.

Here,

begin by writing the names of the triangles' vertices, beginning with triangles DAB and BCD, as shown below.

AB = CD

DA = BC

In both triangles, side BD is the same, therefore

BD = BD

We can infer that the triangles DAB & BCD are congruent that use the SSS feature of a congruence triangle because they have the same number of sides on each side.

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Malik learned to sing a total of 36 pieces over the course of 18 weeks of voice lessons. How many weeks of lessons will Malik need before he will be able to sing a total of 48 pieces? Solve using unit rates.

Answers

The number of weeks it would take is 24 weeks.

How many weeks would it take?

The first step is to determine how many weeks it would take to learn one piece. In order to determine his value, divide 18 by 36.

Number of weeks = 18 / 36 = 0.50

Now, multiply the answers gotten in thee previous step by 48

Number of weeks it would take to learn 48 songs = 0.50 x 48  = 24

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The principal wants to share 1,869 pencils equally between 4 fourth grade classrooms and 3 third grade classrooms. how many pencils will each classroom get?

Answers

267 is your correct answer
Add 4 and 3= 7. Then divide this (7) to 1869.

hi everyone help my math show your complete solutions​

Answers

Step-by-step explanation:

what is the area of the whole circle ?

pi×r²

what is the segment length of the whole circle ?

right, that is the circumference :

2×pi×r

and a whole circle stand for 360°.

if we have only a part of these 360°, then all the attributes of the circle apply only to the corresponding fraction of 360°.

the "segment area" is (I assume) the shaded area.

that is the area of the whole segment XZY minus the triangle area.

let's start with the arc length (the easier part) :

again, for 360° it is

2×pi×r

for 135° it is

2×pi×r × 135/360 = 2×pi×8 × 135/360 =

= 18.84955592... cm

for the segment area :

the area of the full segment is

pi×r² = pi×8² = 64pi

for 135° it is

64pi × 135/360 = 75.39822369... cm²

the inner triangle is an isoceles triangle (both legs are equally long : 8 cm).

when we have the 2 legs and the encoded angle, the area of the triangle is

area= (a x b x sin(c))/2, where a, b are the two legs, and c is the angle between them.

area of the triangle = 8×8×sin(135)/2 = 22.627417... cm²

the shaded area is then

75.39822369... - 22.627417... = 52.77080669... cm²

!!!!50 POINTS!!!!

It will take you t seconds to carry the water, which
you will do y times a day. What is the total amount of
time you will be carrying water?
How many hours would you spend carrying water in a
year?
I need an expression, evaluation, and explanation! ASAP

Answers

Answer:

1. t*y

2. 365*t*y

Step-by-step explanation:

Identify variables

T (time) seconds

Y amount of times per day

T * Y = amount of time you would spend carrying water in a day, 24 hrs

365 * t * y = 365 (amount of days per year, multiplied by the amount of time you carry water per day.)

Is △pmr similar to △smn? if so, which postulate or theorem proves these two triangles are similar? responses ​△pmr​ ​is similar to ​△smn​ ​ by the ​​​ ​ssa similarity theorem​. ​, triangle p m r, ​, , ​, , is similar to , ​, , , triangle s m n, ​, , ​, , , by the , ​, ​, , ​, , ​, s s a similarity theorem, ​, , . ​△pmr​ ​is similar to ​△smn​ ​by the ​​ ​sas similarity theorem​. ​, , triangle p m r, ​, , ​, , is similar to , ​, , , triangle s m n, ​, , ​, , by the , ​, ​, , , ​, s a s theorem, ​, . ​△pmr​ ​is similar to ​ ​ ​△smn​ ​by the​ ​sss similarity theorem​​. ​, triangle p m r, ​, , ​, , is similar to , ​, , ​, , ​, triangle s m n, ​, , ​, , by the, ​, , , , ​, s s s similarity theorem, ​, ​, . ​△pmr​ ​is not similar to△smn​​. ​, , triangle p m r, ​, , ​, , is not similar to, , , , triangle s m n, ​, , ​, . a triangle with vertices p m r. segment s n is inside the triangle. point s is on side p m. point n is on side m r. p s is equal to 8 feet. s m is equal to 14 feet. m n is equal to 21 feet. n r is equal to 12 feet.

Answers

Right angles, isosceles triangles, acute angles, obtuse triangles, scalene triangles, and equilateral triangles are some of the several types of triangles.

Describe the triangles.

The term "trigon" is frequently (though not usually) used to refer to a triangle, a 3-sided polygon. Every triangle consists of a set of three angles and three sides, of which some might be the same. Three points and three sides make up a triangle, which is a polygon. The three angles of the triangle sum up to 180 degrees. With three sides & three vertices, triangles are a specific type of polygon in geometry. The two-dimensional figure displayed here has three straight sides. A triangle is a type of 3-sided polygon.

Here ,

are a number of triangles.

Triangular Scalene. a triangle that doesn't have adjacent sides.

a triangle where each of a three angles is far less than 90° degrees is referred to as a sharp triangle.

Straight triangle a triangular including one angle that extends beyond 90 degrees.

Isosceles, right, and equilateral triangles are examples of triangles.

Right angles, isosceles triangles, acute triangular, obtuse triangles, scalene triangles, and equilateral triangles are some of the several types of triangles.

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Factorise the following.
2⁢x^2+7⁢x+3

Answers

Step-by-step explanation:

either x=-1/2

or x=-3

compare with ax²+bx+c=0

{y = -4x - 6
{-4x - y - 6 = 0

Answers

y = -4x - 6 and -4x - y - 6 = 0 are both representations of the same linear equation.

The first equation, y = -4x - 6, is in slope-intercept form, where y is the dependent variable, x is the independent variable, -4 is the slope and -6 is the y-intercept. This means that when you graph this equation, the slope of the line will be -4 and the y-intercept will be -6.

The second equation, -4x - y - 6 = 0, is in standard form, where the variables are on one side of the equation and the constants are on the other side. To get this equation, you can move the y term to the other side by adding y to both sides, and then move the constants to the other side by adding 6 to both sides.

Both equations represent the same line. They are just in different forms, one is in slope-intercept form and the other is in standard form.

Answer:

infinite number of solutions

Step-by-step explanation:

y = - 4x - 6 → (1)

- 4x - y - 6 = 0 → (2)

substitute y = - 4x - 6 into (2)

- 4x - (- 4x - 6) - 6 = 0 ← distribute parenthesis and simplify left side

- 4x + 4x + 6 - 6 = 0

0 = 0 ← true statement

when both sides have the same numeric value

this indicates the system has an infinite number of solutions.

Can someone tell me what number on the number line is greater than -9 for an inequality?

Answers

Answer: Any number that is to the right of it, hence greater/bigger.

-8,-7,-6,-5.....

Step-by-step explanation:

Example: If you have -8 vs -9 vs -10 dollars, You have more with -8 vs -9 or -10.

Hence anything to the right of a give number on the number line is greater.

Also, think of the opposite with negatives.

For example with positive numbers, the larger the number the greater, but with negative numbers its the other way around, the smaller the number the greater.

In an aquarium, there are large fish and small fish. Half of the small fish are red.
One fish is selected at random. Find the probability that it is a small, red fish.
Write your answer as a fraction in simplest form.

Answers

The probability that it is a large, blue fish is 21%.

What is probability?

Probability is the mathematical study of outcomes in uncertain situation. It is used to describe the likhood of an event occurring and it can be expressed as a number between 0 to 1. Probability is used to quantify the uncertainty associated with any given event it helps us understand how likely it is that something will happen and it can be used to make prediction about futures even probability theory is it cornerstone of modern statistic and is widely used in field such as finance economics and science.

Here we have to use the definition of a simple probability, wherever all fishes has the same Probability to be chose.

So, we have to divided the possible of outcomes with the total of outcomes. The possible outcomes refer to the number of large-blue fishes, and the totals numbers of outcomes represent the total number of fishes. So

Therfore, there's 21% of chances to selected one fish randomly and be a large, blue fish.

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A car producer stocks three types of tires: a, b, and c. Let p(a) = 0. 40, p(b) = 0. 15 and p(c) = 0. 45. The percentage of defective tires is 2%, 1% and 5%, respectively. Someone picks a tire off the shelf at random and it is brand a. If you want to know the probability that it is a defective tire (event d), which formula would you use?.

Answers

The formula which we would use to know the probability that it is a defective tire of brand A is P(A|D) = P(D|A)P(A) / P(D). P(D) is the probability that a tire produced is defective.

What is probability?

Probability is a numerical description of how possible an event to happen. Tha value of probability is between 0 to 1. Zero probability means something is impossible to happen. Probability 1 shows certainty.

A car producer stocks three types of tires. They are A, B, and C.

P(A) = 0.40P(B) = 0.15P(C) = 0.45

The percentage of defective tires is 2%, 1% and 5%, respectively. Someone picks a tire randomly and he gets brand A.

Find the formula to know the probability that it is a defective tire!

The options are

a) P(A|D) = P(D|A)P(A) / P(D)

b) P(D|A) = P(A|D)P(D) / P(A)

c) P(A|D)= P(D/A)P(D) / P(A)

d) P(D|A)= P(A|D)P(A) / P(D)

From the information, we get:

P(D|A) = 2% = 0.02P(D|B) = 1% = 0.01P(D|C) = 5% = 0.05

The probability that it is a defective tire of brand A = P(A|D). The formula is

P(A|D) = P(A∩D) / P(D)

P(A|D) = P(D|A)P(A) / P(D)

Hence, if we want to know the probability that it is a defective tire, the formula would be P(A|D)= P(D|A)P(A) / P(D).

The answer is (a).

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HELP ME I DONT UNDERSTAND

Answers

In the system of linear equations given, only option b have exactly one solution

What is System of Linear Equation

A system of linear equations is a collection of two or more linear equations that are solved simultaneously. A linear equation is an equation that can be written in the form ax + b = c, where a, b, and c are real numbers and a is not equal to 0.

In this given problem, we have four system of linear equations and we need to determine which has exactly one solution.

a)

2x - 4y = 8 ...eq(i)

x + y = 7 ...eq(ii)

Solving both equations

x = 6, y = 1

b)

3x + y = - 1 ..eq(i)

8x + 2y = -2 ..eq(ii)

Solving both equations

x = 0, y = - 1

c)

3x + 3y = 3 ...eq(i)

-6x - 6y = 3 ...eq(ii)

Solving both equations;

There's no solution to this problem.

d)

3x - 2y = 4 ..eq(i)

-3x + 2y = 4 ..eq(ii)

Solving for both equations;

There's no solution to this problem

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The prism below has dimensions of 2 feet (ft.), 3 feet (ft.), and 8 inches (in.).

What is the volume of the prism in cubic inches?

Answers

The volume of the prism in cubic inches is 6912 inch³.

What is Volume?

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also known as the capacity of the object.

Volume of Cuboid = length x width x height

Given:

length =  3 feet = 36 inch

width = 8 inch

height = 2 feet = 24 inch

So, Volume of cubic prism

= length x width x height

= 36 x 8 x 24

= 6912 inch³

Hence, the volume is 6912 inch³

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find a positive and a negative co-terminal of each angle 111 degrees

Answers

The Positive co-terminal angle is 471° and negative co-terminal angle is -249°.

What is co-terminal angle?

Co-terminal angles have different degrees, but they all have their initial side on the positive x -axis (it goes this way →) and share the same terminal side  hence the term "co-terminal." Co-terminal angles differ by 360°. Therefore, we only need to add/subtract 360° to get our positive/negative co-terminal angle measures.

Here the given angle is ,

=> 111°

Positive co-terminal angle:

=> 111°+360°=471°

Now negative co-terminal angle is ,

=> -(360°-111°)

=> - 249°

Hence the Positive co-terminal angle is 471° and negative co-terminal angle is -249°.

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Write an equation
in slope-intercept form of the line that passes through the points

Answers

The equation in slope-intercept form of the line that passes through the points is f(x) = 2x + 2

How to determine the linear function f with the given values.

From the question, we have the following parameters that can be used in our computation:

f(0) = 2 , f(-2) = -2

A linear equation can be represented as

f(x) = mx + c

Substitute the known values in the above equation, so, we have the following representation

m * 0 + c = 2

m * -2  + c = -2

Solving 0 * x + c = 2, we have

c = 2

So, we have

m * -2 + c = -2

This gives

-2 * m + 2 = -2

Evaluate the like terms in the above equation

So, we have the following representation

-2m = -4

Divide both sides of the equation by -2

So, we have

m = 2

Substitute the known values in the equation f(x) = mx + c, so, we have the following representation

f(x) = 2x + 2

Hence, the function is f(x) = 2x + 2

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Complete question

Write an equation in slope-intercept form of the line that passes through the points: f(0) = 2 and f(-2) = -2

What is change of base formula example?

Answers

Change of base formula is used to rewrite a logarithmic operation as a ratio of two logarithms each with the same base that is different from the base of the original logarithm, for example, log₆₄8 = log 8 / log 64.

Logarithm is the inverse function of an exponential. The logarithm of x is the exponent to which another fixed number, the base b, must be raised, to produce that number x.

Change of base formula is used to rewrite a logarithmic operation as a ratio of two logarithms each with the same base that is different from the base of the original logarithm. It can be written as follow:

[tex]Log_{b} a = \frac{Log_{d} a}{Log_{d} b}[/tex]

For example:

We want to find the value of log₆₄8 using the change of base formula.

log₆₄8 = log 8 / log 64

          = log 8 / log 8²

          = log 8 / 2 log 8

          = 1/2

Thus the log₆₄8 is 1/2

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1. Find the present value of $5000 to be received in 2 years if the money can be invested at 12%
interest rate compounded continuously.(1 Point)
$6272
O $6365.75
$6356.25

Answers

The present value of $5000 to be received in 2 years at a 12% interest rate compounded continuously is $6356.25. This can be calculated by using the formula PV = FV/(1 + r)^t, where PV is the present value, FV is the future value, r is the interest rate, and t is the time period. Therefore, PV = 5000/(1 + 0.12)^2 = $6356.25.

Answer:

C) $6356.25

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

Use the continuous compound equation:

A = Pe^(rt), where A  - future value, P - present value, r - annual interest rate, t - number of years

Substitute and calculate:

A = 5000*e^(0.12*2) = 6356.25 (rounded)

The matching choice is C.

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