Answer:
D
Step-by-step explanation:
A=88°
B=71°
88+71=159
Subtract it to 180.
159-180=21
21°
Answer:
A=88°
B=71°
88+71=159
Subtract it to 180.
159-180=21
Therefore the answer is = 21°
Kieran and Louise each think of a number.
4 less than Kieran's number is equal to 2 lots of Louise's
number.
3 lots of Kieran's number added to Louise's number is 68.
Using the information above, write and solve two
simultaneous equations to work out Kieran and Louise's
numbers.
Using simultaneous equations, Kieran and Louise's numbers are 20 and 8 respectively.
How to represent situation with system of equation?Kieran and Louise each think of a number. 4 less than Kieran's number is equal to 2 lots of Louise's number.
let's
x = Kieran's number
y = Louise's number.
x - 4 = 2y
x - 2y = 4
3 lots of Kieran's number added to Louise's number is 68.
Hence,
3x + y = 68
Hence, let's combine the system of equation.
x - 2y = 4
3x + y = 68
multiply equation(i) by 3
3x - 6y = 12
3x + y = 68
-7y = -56
y = -56 / -7
y = 8
Therefore, let's find x
x = 4 + 2y
x = 4 + 2(8)
x = 4 + 16
x = 20
Hence,
Kieran number = 20
Louise number = 8
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Given L9 = L13
Which lines, if any, must be parallel based on the given
information? Justify your conclusion.
O c || d. Converse of the Same-Side Interior Angles
Theorem
O a || b. Converse of the Alternate Interior Angles
Theorem
O c || d. Converse of the Corresponding Angles
Theorem
O not enough information to make a conclusion
There are 12 feet of wrapping paper on each roll. Jill needs 84 feet of wrapping paper. Which equation can Jill use to find the number of rolls, r, she needs?
Answer:
es26
Step-by-step explanation:
Answer:
The correct answer is "All of these answers are correct."
Step-by-step explanation:
These are very simple.
12r=84 ✔
84/r=12 ✔
84/12=r ✔
All of these answers are correct ✔
a random sample of 374 united states pennies was collected, and the age of each penny was determined. according to the boxplot below, what is the approximate interquartile range (iqr) of the ages?
16 is the approximate interquartile range (iqr) of the ages .
What does IQR, or interquartile range, mean?
The spread of the middle half of your data is measured by the interquartile range (IQR). The IQR shows the difference between the lowest and highest readings for that particular week. The spread in the center of the data for that week is roughly represented by the IQR.
It is the range for your sample's middle 50%. To evaluate the variability where the majority of your results are located, use the IQR. Larger values suggest a wider dispersion of the central component of your data. The first quartile (Q1) and third quartile (Q3) of these values (Q3). What separates Q3 from Q1 is known as the IQR.
IQR = Q3 - Q1
= 20 - 4
= 16
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quantitive reasoning with support
Quantitative reasoning is the process of analyzing and interpreting numerical data using mathematical concepts and logical reasoning.
It involves the use of mathematical tools to draw meaningful conclusions from the data. In quantitative reasoning, support is crucial to validate arguments and conclusions. Supporting evidence can come in the form of data, statistics, or evidence from reliable sources.To effectively use quantitative reasoning with support, one must first identify the problem to be solved and gather relevant data. This data can be analyzed using statistical methods and mathematical models to identify patterns, trends, and relationships. Once these patterns are identified, it is important to provide support for the conclusions drawn from the analysis.
Supporting evidence can be used to validate conclusions and provide credibility to arguments. This evidence can come in the form of numerical data, statistical analysis, or even expert opinions. Using reliable sources for evidence is important, as it ensures that the conclusions drawn from the data are accurate and unbiased.Quantitative reasoning with support is critical in many fields, including science, economics, and finance. It enables decision-makers to make informed decisions based on data-driven analysis, rather than relying on intuition or guesswork. Effective quantitative reasoning with support is a skill that can be learned and practiced, and it is an essential tool for success in many fields.
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Which of these views were held by Democratic-Republicans? (Select all that apply.)
The United States should support the rebels in the French Revolution.
The government should be limited to keep it from growing too strong.
The Alien and Sedition Acts were beneficial laws that helped the nation.
The federal government should become stronger and more centralized.
Three are supports and one did not support "the Alien and Sedition Acts and viewed them as harmful laws that violated freedom of speech and the press.
What are Democratic-Republicans believed?The Democratic-Republicans believed in a strict interpretation of the Constitution, which they felt limited the power of the federal government to only those powers expressly granted to it by the Constitution.
The Democratic-Republicans believed in the following views:
The United States should support the rebels in the French Revolution.
The government should be limited to keep it from growing too strong.
The federal government should become stronger and more centralized.
They did not support the Alien and Sedition Acts and viewed them as harmful laws that violated freedom of speech and the press.
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In the Cartesian Plane, draw a triangle with vertices (-1 ,7) ,(5,5) ,(-2 ,1). By distance formula, show that the triangle is isosceles.
The triangle with given vertices is not an isosceles triangle.
What is distance formula?The distance formula which is used to find the distance between two points in a two-dimensional plane is also known as the Euclidean distance formula. On 2D plane the distance between two points (x₁, y₁) and (x₂, y₂) is Distance = √[(x₂-x₁)²+(y₂-y₁)²].
Let a triangle with vertices be A(-1 ,7), B(5, 5) and C(-2 ,1).
Using the coordinates A(-1, 7) and B(5, 5), we get
AB =√(5-7)²+(5+1)²
AB=√40
AB=2√10 units
Using the coordinates B(5, 5) and C(-2 ,1) we get
BC=√(-2-5)²+(1-5)²
BC=√65 units
Using the coordinates C(-2 ,1) and A(-1 ,7) we get
BC=√(-1+1)²+(7-1)²
BC= 6 units
Therefore, the triangle with given vertices is not an isosceles triangle.
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PLEASE HELP... PLEASE
Answer:
So I am honestly not sure what THEY though when they did this.
Step-by-step explanation:
So when you look at this, we see that:
3x+3y=10
2x+3y=20
Lets just compare these two.
There is only two differences
There is 1 less x, or -1x in the bottom equation.
The number value is 10 more, or +10, in the bottom equation.
This must mean that -x=10
Or
x=-10
This is my way of doing it, their way of doing this is:
Combining the two equations 3x+3y=10 and 2x+3y=20
lets work through this their way and find our mistake.
So combining them we get:
5x-6y=30
Oh...
Well, I see their mistake, do you?
This is our equation:
5x+6y=30
Their equation:
5x=30
The difference is that they though they needed to subtract 3 y from 3y, canceling the two y variables out. When really, you need to combine the two y values.
So this is our REASONING.
Now, you cannot solve it this way further, since you have two variables.
However, using the method above, we were able to find that x=-10
Hope this helps! :)
In this problem we examine two stochastic processes for a stock price: PROCESS A: "Driftless" geometric Brownian motion (GBM). "Driftless" means no "dt" term. So it's our familiar process: ds = o S dw with S(O) = 1. o is the volatility. PROCESS B: ds = a S2 dw for some constant a, with S(0) = 1 As we've said in class, for any process the instantaneous return is the random variable: dS/S = (S(t + dt) - S(t)/S(t) = [1] Explain why, for PROCESS A, the variance of this instantaneous return (VAR[ds/S]) is constant (per unit time). Hint: What's the variance of dw? The rest of this problem involves PROCESS B. [2] For PROCESS B, the statement in [1] is not true. Explain why PROCESS B's variance of the instantaneous return (per unit time) depends on the value s(t).
In this problem we examine two stochastic processes for a stock price: PROCESS A: the variance of the instantaneous return is constant per unit time. and in PROCESS B, the variance of the instantaneous return per unit time is not constant but depends on the value of s(t).
In PROCESS A, the instantaneous return is given by dS/S, which represents the change in the stock price relative to its current value. Since PROCESS A is a “driftless” geometric Brownian motion, the change in stock price, ds, is proportional to the stock price, S, and the Wiener process, dw. Therefore, we can write ds = oSdw.
To determine the variance of the instantaneous return, VAR[ds/S], we need to compute the variance of ds and divide it by S². The variance of dw is constant and independent of time, which means it does not depend on the stock price or the time step. As a result, when we divide the constant variance of dw by S², we obtain a constant variance for the instantaneous return VAR[ds/S]. Hence, in PROCESS A, the variance of the instantaneous return is constant per unit time.
However, in PROCESS B, the situation is different. The process ds = aS²dw has an additional term, S², which means the change in stock price is now proportional to the square of the stock price. Since the variance of dw is constant, dividing it by S² will yield a variance of the instantaneous return that depends on the current stock price, S(t). As the stock price changes, the variance of the instantaneous return will also change, reflecting the nonlinear relationship between the stock price and the change in stock price in PROCESS B. Therefore, in PROCESS B, the variance of the instantaneous return per unit time is not constant but depends on the value of s(t).
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Consider the following proportion:
2 12
— -—
7 x
Use cross products to write the equation: 2x = 84.
What is the value of x?
\(\displaystyle\bf 2x=84\\\\x=84:2=42\\\\\boxed{x=42}\)
madelyn is creating a media center. there are 7 televisions and 7 sets of speakers to choose from. for the dvd player, madelyn has 2 options. how many different entertainment centers can madelyn make?
The total number of different entertainment centers Madelyn can make is 7 × 7 × 2 = 98. Answer: 98.
Madelyn is creating a media center.
There are 7 televisions and 7 sets of speakers to choose from. For the DVD player, Madelyn has 2 options.
We are supposed to determine how many different entertainment centers Madelyn can make.
Therefore, we need to use the multiplication principle of counting.
According to the multiplication principle of counting, if an event can occur in m ways and a second event can occur in n ways, then the two events can occur in m x n ways.
Let's use the multiplication principle of counting to solve this problem.
The number of ways Madelyn can choose a TV is 7.
The number of ways Madelyn can choose a set of speakers is 7.
The number of ways Madelyn can choose a DVD player is 2.
Therefore, the total number of different entertainment centers Madelyn can make is 7 × 7 × 2 = 98. Answer: 98.
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In figura de mai jos, coardele AB si CD sunt perpendiculare şi congruente. Punctele E,O,F sunt coliniare. Calculați masura unghiului AEF.
Answer:
please translate to English for fast response
Answer:
∡AEF=45°
Step-by-step explanation:
AB=CD ⇒
arcele AB=AC (la coarde egale corespund arce egale)⇒
arc(AB)+arc(BC) = arc(BC)+arc(BD) (descompunerea arcelor AB si AC)⇒
arc(AC)=arc(BD) ⇒
∡BAD≡∡CDA (la arce egale avem unghiuri cu varful pe cerc egale) ⇒
ΔEAD e isoscel (unghiurile de la baza AD sunt congruente) ⇒
[EA]≡[ED], dar si [OA]≡[OD] (OA si OD raze ale cercului)⇒
EO e mediatoarea [AD] (E si O formeaza dreapta EO), dar ΔEAD e isoscel⇒
[EO este si bisectoarea ∡AED (intr-un triunghi isoscel mediatoarea bazei se suprapune cu bisectoarea unghiului opus bazei), dar ∡AED=90° ⇒
∡AEF=45°
Does this table represent a function? Why or why not?
Х
у
2
1
2
4
3
4
4
2
5
5
A. No, because two of the y-values are the same.
B. Yes, because there are two x-values that are the same.
C. Yes, because every x-value corresponds to exactly one y-value.
D. No, because one x-value corresponds to two different y-values.
Answer:
D
Explanation:
Same x values cannot correspond to any y values. Also if u plotted the points, the vertical line test would fail.
No, the table does not represent a function.
What is a function?A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given is a table showing the values of x and y, we need to see whether it represents a function or not,
So, we know that, a function from a set X to a set Y assigns to each element of X exactly one element of Y.
Here, set X = {2, 2, 3, 4, 5}
Set Y = {1, 4, 4, 2, 5}
We can see that, 2 and 3 are having same output or y values that is contradicting the definition of the function.
So, we can conclude that this is not a function.
Hence, the table does not represent a function.
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50 decreased by twice craig's score use the variable c to represent craig's score
Answer:
50 - 2c
Step-by-step explanation:
i think its incomplete
What is the Interior angle of a 30gon?
Answer:
168°
Step-by-step explanation:
describe whether the association in the scatter plot below is linear or non-linear and positive or negative.
The scatter plot describes the relationship as a positive, non-linear association. Hence option B is correct.
What is a scatter plot?A scatter plot is a plot mathematical chart or graph that depicts the relationships by the use of dots and shows the two numeric variables.
The dots are positioned on each horizontal and vertical value for an individual. They are used for observing the relationship between the variables. The graph shows are positive but nonlinear association.
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What are the 3 shortcuts to prove triangles are similar?
In order to prove the triangles are similar, you have to use SAS, SSS and AA rule.
In triangle, the similarity theorem states that if they have the same ratio of corresponding sides and equal pair of corresponding angles.
Here we have to find the 3 shortcuts to prove the triangles are similar.
According to the similarity theorem, here we have triangle that is similar to other if two pairs of angles are congruent (AA) or if two pairs of sides are proportional and the included angles are congruent whereas if three pairs of sides are proportional (SSS).
Here we must know that the term similarity and congruent are similar terms.
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\(\sqrt{25} is an irrational
Answer:
Is Square Root of 25 Rational or Irrational?
Step-by-step explanation:
A rational number can be expressed in the form of p/q. Because √25 = 5 and 5 can be written in the form of a fraction 5/1. It proves that √25 is rational.
The answer is:
⇨ √25 is a rational numberWork/explanation:
What are rational numbers?
Rational numbers are integers and fractions.
Irrational numbers are numbers that cannot be expressed as fractions, such as π.
Now, \(\bf{\sqrt{25}}\) can be simplified to 5 or -5; both of which are rational numbers.
Hence, √25 is rational.find the probability
Answer:
alright so you have to do math to do it
Step-by-step explanation:
A hair color manufacturer performed a survey which was normally distributed. They found that the average age at which a person's hair starts turning gray is 32 years, with a standard deviation of 4 years. Which of the following graphs displays the normal distribution of the average age at which a person's hair starts turning gray?
W.
X.
Y.
Z.
Answer: X
Step-by-step explanation:
An aircraft (at Z) is spotted by two observers (at X and Y) who are L = 1850 feet apart. As the airplane
passes over the line joining them, each observer takes a sighting of the angle of elevation to the plane,
as indicated in the figure. If A=25°, and B=25°, how high is the airplane?
Answer: We can use trigonometry to solve this problem. Let's call the height of the airplane H, and let's call the distance from observer X to the airplane D. Then the distance from observer Y to the airplane is L - D.
From the point of view of observer X, we can write:
tan(A) = H / D
tan(25°) = H / D
From the point of view of observer Y, we can write:
tan(B) = H / (L - D)
tan(25°) = H / (L - D)
We now have two equations with two unknowns (H and D). We can solve for one of the unknowns in terms of the other, and then substitute that expression into the other equation to eliminate one of the unknowns.
Let's solve the first equation for D:
D = H / tan(25°)
Substituting this expression for D into the second equation, we get:
tan(25°) = H / (L - H / tan(25°))
Multiplying both sides by (L - H / tan(25°)), we get:
tan(25°) (L - H / tan(25°)) = H
Expanding the left-hand side, we get:
tan(25°) L - H = H tan^2(25°)
Adding H to both sides, we get:
tan(25°) L = H (1 + tan^2(25°))
Dividing both sides by (1 + tan^2(25°)), we get:
H = (tan(25°) L) / (1 + tan^2(25°))
Now we can substitute this expression for H into the equation D = H / tan(25°) to get:
D = ((tan(25°) L) / (1 + tan^2(25°))) / tan(25°)
Simplifying, we get:
D = L / (1 + tan^2(25°))
Now that we know the distance D, we can use the equation tan(A) = H / D to find H:
tan(25°) = H / D
H = D tan(25°)
Substituting D = L / (1 + tan^2(25°)), we get:
H = (L / (1 + tan^2(25°))) tan(25°)
Plugging in the given values L = 1850 feet and A = B = 25°, we get:
H = (1850 / (1 + tan^2(25°))) tan(25°)
H ≈ 697.3 feet
Therefore, the airplane is about 697.3 feet high.
Step-by-step explanation:
This sample is selected by dividing the population into subgroups and then taking a fixed number of units from each group using the simple random sample. simple random sample stratified random sample cluster random sample Voluntary random sample
The correct sampling method described in the question is a stratified random sample among the simple random sample, stratified random sample, cluster random sample and Voluntary random sample
The sampling method described in the question is a stratified random sample.
In a stratified random sample, the population is divided into subgroups or strata based on certain characteristics or criteria. Then, a random sample is selected from each stratum. The key idea behind this method is to ensure that each subgroup is represented in the sample proportionally to its size or importance in the population. This helps to provide a more accurate representation of the entire population.
In the given sampling method, the population is divided into subgroups, and a fixed number of units is taken from each group. This aligns with the process of a stratified random sample. The sample selection is random within each subgroup, but the number of units taken from each group is fixed.
Other sampling methods mentioned in the question are:
Simple random sample: In a simple random sample, each unit in the population has an equal chance of being selected. This method does not involve dividing the population into subgroups.
Cluster random sample: In a cluster random sample, the population is divided into clusters or groups, and a random selection of clusters is included in the sample. Within the selected clusters, all units are included in the sample.
Voluntary random sample: In a voluntary random sample, individuals self-select to participate in the sample. This method can introduce bias as those who choose to participate may have different characteristics than those who do not.
Therefore, the correct sampling method described in the question is a stratified random sample.
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point slope line equation of the line through (8,-8) and (9,8)
Answer:
y+8=16(x-8)
Step-by-step explanation:
y-y1=m(x-x1) is the formula
Just substitute from the first pair then you should get the answer.
A computer monitor has a width of 14.60 inches and a height of 10.95 inches. What is the area of the monitor display in square meters? area How many significant figures should there be in the answer? 2 3 4 5
The area of the computer monitor display is approximately 0.103 square meters, with three significant figures.
The area of the monitor display in square meters is found by converting the measurements from inches to meters and then calculate the area.
The conversion factor from inches to meters is 0.0254 meters per inch.
Width in meters = 14.60 inches * 0.0254 meters/inch
Height in meters = 10.95 inches * 0.0254 meters/inch
Area = Width in meters * Height in meters
We calculate the area:
Width in meters = 14.60 inches * 0.0254 meters/inch = 0.37084 meters
Height in meters = 10.95 inches * 0.0254 meters/inch = 0.27813 meters
Area = 0.37084 meters * 0.27813 meters = 0.1030881672 square meters
Now, we determine the number of significant figures.
The measurements provided have four significant figures (14.60 and 10.95). However, in the final answer, we should retain the least number of significant figures from the original measurements, which is three (10.95). Therefore, the answer should have three significant figures.
Thus, the area of the monitor display in square meters is approximately 0.103 square meters, with three significant figures.
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Find a formula for the exponential function passing through thepoints (-1, 2/5 ) and (3,250)
The exponential function between (-1, 2/5) and (3, 250) is as follows:
\(f(x) = 2 * 5^x\)
By combining the fourth roots from both sides, we arrive at:
b = 5
When we use the expression we discovered for a and this value of b, we get:
a = (2/5) * 5 = 2
As a result, the exponential function between (-1, 2/5) and (3, 250) is as follows:
\(f(x) = 2 * 5^x\)
what are functions?A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input. A function is typically represented as y = f. (x).
In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.
from the question:
This is the shape of the exponential function:
f(x) = a *\(b^x\)
where a represents the starting point and b represents the exponential function's base.
We must solve the system of equations to determine the values of a and b that meet the requirements:
a * \(b^(-1)\) = 2/5 (equation 1)
a *\(b^3\)= 250 (equation 2)
We can solve for an in equation 1 by multiplying both sides by b:
a = (2/5) * b
Substituting this expression into equation 2, we get:
(2/5) * b *\(b^3\) = 250
Simplifying, we get:
\(b^4 = 3125\)
By combining the fourth roots from both sides, we arrive at:
b = 5
When we use the expression we discovered for a and this value of b, we get:
a = (2/5) * 5 = 2
As a result, the exponential function between (-1, 2/5) and (3, 250) is as follows:
\(f(x) = 2 * 5^x\)
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Bob earned $2100. He spent 1/5 of his money on rent and 1/3 of it on food. How much money did he have left?
Answer:
$980
Step-by-step explanation:
Step 1: Find \(\frac{1}{5}\) of 2100 = 420
\(\frac{1}{5}\times \:2100\)Convert 2100 to a fraction: \(\:2100=\frac{2100}{1}\)\(=\frac{1}{5}\times \frac{2100}{1}\)Cross Divide\(2100 \div 5 = 420\)Step 2: Find \(\frac{1}{3}\) of 2100 = 700
\(\frac{1}{3}\times \:2100\)Convert 2100 to a fraction: \(\:2100=\frac{2100}{1}\)\(=\frac{1}{3}\times \frac{2100}{1}\)Cross Divide\(2100 \div 3 = 700\)Step 3: Add both results together
\(420 + 700 = 1120\)
Step 4: Subtract the result from how much Bob earns ($2,100)
\(2100 - 1120 = 980\)
Bob has $960 left
3. Find the rate of interest (R)
(a) Principal = Rs. 1460 Time (T)= 30 months
Interest = Rs. 292
Answer:
8 percent
Step-by-step explanation:
p=rs1460
t=30month
=30÷12(1year=12months)
=2.5 years
interest=rs292
rate of interest=?
we know that
I=ptr/100
rs292=rs1460×2.5×R/100
rs2920=365R(subtracting 0 from both and multiplying remaining with 292)
2920/365=r
8 percent=R
write as many three-digit numbers as you can. your answers can only use the digits 0, 2, and 5, but you can repeat digits.
The numbers 0, 2, and 5 can be repeated any number of times to create 16 three-digit numbers.
Given that,
As many three-digit numbers as you can must be written. Only the numerals 0, 2, and 5 may be used in your replies, although you may repeat digits.
This is a problem on Permutations
Permutation is the different ways that a set of elements can be arranged, either all at once or part of them at a time. There are two alternative arrangements, AB and BA, for instance, if we have two elements, A and B.
Repeating number permutation
= 3³ - 11(as one of the digit is Zero "0")
= 3 × 3 × 3 - 11
= 16
Let me list each result one by one.
222, 205, 250, 255, 225, 252, 220, 202.
502, 520, 552, 525, 555, 522, 550, 505.
Thus, there are 16 three-digit integers that may be constructed by the numbers 0,2, and 5 with any digit repeated.
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Help me with this and I'll mark you as Brain
Answer:
a) x^3y2
b) 6x^2y^3
Step-by-step explanation:
because 3 x's and 2 y's are being multiplied.
For this explanation, I will be utilizing the hidden exponent of 1.You can put a hidden exponent of 1 to each variable without an exponent, and the value will remain the same.
Merely add the exponents of the values with the same base number, or coefficient. —> like terms
X^1 times X^1 times X^1 is X^3, and Y^1 times Y^1 is Y^2.
Our final answer is X^3 Y^2.
B is 6X^2 Y^3.Like the first expression, we can add a hidden exponent to each VARIABLE, not number.
2 times 3 is 6, and X^1 times X^1 is X^2, and Y^1 times Y^1 times Y^1 is Y^3.
Our final answer is 6X^2 Y^3.
2(3b+6) =78 : Answer is 11
-2(6c-3) = -72 : Answer is 6.5
Check Right and Left side of the equation
The right side of the first equation is 78 and the right side of the second equation is -72. Both sides of the equations are constants (numbers with no variable in them)
The left side of the first equation is 2(3b+6) and the left side of the second equation is -2(6c-3). Both sides of the equations are products of a constant and a variable or a sum/difference of variables.
To find the value of b and c in the equation, you need to solve the equation.
For the first equation:
2(3b + 6) = 78
3b + 6 = 39
3b = 33
b = 11
For the second equation:
-2(6c - 3) = -72
6c - 3 = 36
6c = 39
c = 6.5
So, the value of b is 11 and the value of c is 6.5