Answers
From the graph we can say that Domain : (-∞,-1) ∪(1,∞)
Range : (0,∞)
What is domain and range ?Mathematical procedures are comparable to those of a soda vending machine. You can choose from a variety of sodas after you deposit a particular sum of money. Similar to how we enter different numbers into functions, we also receive new numbers as the outcome. The two essential characteristics of functions are domain and range. A soda can be purchased using quarters and one dollar bills. If pennies are put into the machine, no soda flavor will be provided. As a result, the domain depicts the possible inputs, which are quarters and one-dollar bills. No matter how much you pay, a Coke machine won't give you a cheeseburger.
From the graph we can say that
Domain : (-∞,-1) ∪(1,∞)
Range : (0,∞)
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Related Questions
5. A truck rental agency charges $66 a week and $0.65 per mile to rent a truck. How many
miles can you drive in one week for $170. answer.
Answers
Answer:
I believe it's 160. Hope this helps.
Step-by-step explanation:
170 - 66 = 104
104 / 0.65 = 160
Which numbers are irrational? Select all that apply.
A. √25
B. √28
C. √48
D. √169
Answers
An IRRATIONAL number is a number that can't be written as a simple fraction!
What is a simple fraction? a fraction having whole numbers for the numerator and denominator. To add on that i think it also means that it can be simplified.
So we can't have a mixed number or a fraction that can't be simplified.
A. The square root of 25=5. Can we turn five into a fraction? We sure can! It's also whole, which is a good sign too.
B. The square root of 28=5.29 We can't turn B into a simplified fraction. it will be a mixed number with 6 93/100. ✅
C. The square root of 48=6.93 We also can't turn C into a simplified fraction. It will be a mixed number as well, looking like 5 29/100. ✅
D. The square root of 169=13. This is promising, it's a whole number!
ANSWER: B AND C
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much love!! <33 || if this is wrong, don't be afraid to dislike!! thanks! :D
Consider the inequality 7 + 4x > x − 2.
Which value(s) of x are solutions? Select all that apply
x = −3
x = 0
x = 3
x = −6
Answers
The values of x that satisfies the inequality are:
x = 0 and x = 3
Given,
The inequality = 7 + 4x > x - 2
We have to find the values of x that satisfies the inequality.
Lets check:
Check for x = -37 + 4 × -3 > -3 - 2
7 - 12 > -5
-5 > -5
Here, -5 = -5
So,
The value x = -3 will not satisfy the inequality
Check for x = 07 + 4 × 0 > 0 - 2
7 > -2
The value x = 0 satisfies the inequality
Check for x = 37 + 4 × 3 > 3 - 2
7 + 12 > 1
19 > 1
The value x = 3 satisfies the inequality
Check for x = -67 + 4 × -6 > -6 - 2
7 - 24 > -8
-17 > -8
As negative values -17 is less than -8.
So, the value x = -6 will not satisfies the inequality
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A golf-course architect has 4 linden trees, 5 white birch trees, and 2 bald cypress trees to plant in a row along a fairway. In how many ways can the landscaper plant the trees in a row, assuming that the trees are evenly spaced?
Answers
The number of ways that the landscaper can plant the trees in a row, assuming that the trees are evenly spaced is 630 ways.
How to calculate the value?According to the data, the golf course architect needs to plant 2 bald cypress trees, 5 white birch trees, and 4 linden trees in a row along a fairway. It should be noted that the number of feasible arrangements will be shown as follows based on the information provided:
Based on the information given, it should be noted that n1 =4, n2 = 5 and n3 = 2.
Therefore, the number of ways that the lineup can be possible will be:
n! / (n − r)!
where n is the number of things to choose from and we choose r of them
This will be illustrated as:
= 10! /4!5!2!
= 630
There are 630 ways.
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Use the labeled point to write a point-slope form for the line.
the point slope of the line is
Answers
Point slope form is y - 3 = -3 (x + 3)
Slope is -3
y intercept form is y = -3x + 6
Step by step
We have pairs (-3, 3) and (-2, 0) where we can find slope
y 2 - y1 over x2 - x1
0 - 3 over -2 - -3
-3 over 1
Slope is -3
Point slope form
y - y1 = -3 (x - x1)
y - 3 = -3 (x + 3)
y -3 = -3x -9
y = -3x + 6
Need help with algebra
Answers
Solution
Option D
Hence the correct answer is Option D
Find 1 , 305 × 81 . Then estimate to check your answer. A. 1 , 305 × 81 = 85 , 705 Check : 1 , 000 × 8 = 80 , 000 B. 1 , 305 × 81 = 105 , 705 . Check : 1 , 400 × 90 = 12 , 600 C. 1 , 305 × 81 = 105 , 705 Check : 1 , 200 × 80 = 96 , 000 D. 1 , 305 × 81 = 105 , 705 Check : 1 , 300 × 80 = 104 , 000
Answers
The multiplication of the value of 1305 by 81 will give a value of 105705.
How to illustrate the information?It should be noted that the information given simply means the multiplication of the numbers that are given. This is quite easy and straightforward.
In this case, it should be noted that 1305 × 81 will give a value thus:
= 1305 × 81
= 105705
The value of 105705.
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17. Suppose 17 blackberry plants started growing in a yard. Absent constraint, the blackberry plants will spread by 90% a month. If the yard can only sustain 120 plants, use a logistic growth model to estimate the number of plants after 5 months. plants
Answers
Step 1: Write out the formula for logistic growth model
[tex]P(t)=\frac{KP_0e^{rt}}{K+P_0(e^{rt}-1)}[/tex][tex]\begin{gathered} \text{ Where} \\ K=\text{ the carrying capacity} \\ r=\text{ the growth rate (in decimal form)} \\ P_0=\text{ the initial population} \\ P(t)=\text{ the population at time t} \end{gathered}[/tex]Step 2: Write out the given values and substitute them into the formula
[tex]\begin{gathered} \text{ In this case,} \\ K=120 \\ r=\frac{90}{100}=0.9 \\ P_0=17 \\ t=5 \end{gathered}[/tex]Hence,
[tex]P(5)=\frac{120\times17\times e^{(0.9\times5)}}{120+17(e^{(0.9\times5)}-1)}[/tex][tex]P(5)=112[/tex]Hence, the number of plants after 5 months is approximately 112
I am very confused on how to get i, how do you do this problem?
Answers
given polynomial is,
[tex](x-2)(x^2-12x+40)=0_{}[/tex]let us find thefactors of the polynomial,
[tex]\begin{gathered} x-2=0 \\ x=2 \\ \\ \end{gathered}[/tex]for the polynomial,
[tex]x^2-12x+40=0[/tex]use the formula to find the factors,
[tex]\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}[/tex]where,
[tex]\begin{gathered} a=1 \\ b=-12 \\ c=40 \end{gathered}[/tex]thus,
[tex]\begin{gathered} =\frac{-\mleft(-12\mright)\pm\sqrt[]{(-12)^2-4\times1\times40}}{2\times1} \\ =\frac{12\pm\sqrt[]{144-160}}{2} \\ =\frac{12\pm\sqrt[]{-16}}{2} \\ =\frac{12\pm\sqrt[]{2\times8}}{2} \\ =\frac{12\pm4i}{2} \\ =\frac{2(6\pm2i)}{2} \\ =6\pm2i \end{gathered}[/tex]thus,
[tex]\begin{gathered} x=6+2i \\ x=6-2i \end{gathered}[/tex]the factors are,
[tex]\begin{gathered} x=2 \\ x=6+2i \\ x=6-2i \end{gathered}[/tex]4) Jim and Edna are planting a rectangular garden with 6 rows of equal numbers of pepper
plants. Each row will be 60 feet long. They set the plants 3 feet apart and start planting at one
corner of the garden. How many plants will they need?
Answers
Answer:
120
Step-by-step explanation:
They need six rows with an equal amount of peppers on each row, luckily, everything we need to solve is problem is right in front of us.
First we divide the amounts below
How long the rows will be / How far apart the peppers will be spread.
As we can see that gives us 60 / 3, which should be 20.
Now that we’ve completed this portion we can move on.
Multiply your answer from the division, by how many rows there are.
Our answer from the division was 20, and as we can see there are six rows.
20 x 6 = 120.
Which should give you your answer!
"A line goes through the points (1, -10) and (-3, -2). Find the slope of the line and write the equation
of the line in point-slope form. Show your work algebraically for full credit."
Answers
Slope
[tex]\frac{-10-(-2)}{1-(-3)}=-2[/tex]
Equation
[tex]y+10=-2(x-1)[/tex]
y=x+6
how do i graph this?
Answers
Answer:
y=mx+b, where x and y are variables, m is the slope, and b is the y-int
Since there is no m value, it is 1/1 or simply 1. Therefore you rise 1 point for every 1 you move right.
Your graph needs to intercept the y-axis at point (0,6).
The easiest way to graph this equation is to plot a point at (0,6) and then start your slope of 1/1.
I have attached an image of the graph.
Hope that helps.
Blender uses an X, Y, and Z coordinate plane called the Euclidean geometry model in its design grid. In your own words, briefly describe the Euclidean geometry model and how you can use the model to create 3D objects.
Answers
Euclidean geometry is the study of flat and solid figures based on the axioms and theorems of the Greek mathematician Euclid (c. 300 BCE). Euclidean geometry is the plane and solid geometry that is usually taught in High schools.
How can Euclidean Geometry be used to create 3D Objects?Euclidean features are ideally suited to defining man-made settings (which are usually in 3D) and are reasonably simple for the user to give.
The incorporation of scene restrictions into the model acquisition process decreases the number of unique configurations for calibration and enables model reconstruction using small sets or even single photos despite the presence of multiple occlusions.
Another obvious use for such a technology is augmented reality. After rebuilding, real-world scene models can be merged with other reconstructed or synthetic models. This is particularly beneficial in architectural applications.
Indeed, before an architectural project is approved, its influence on the existing environment is represented using hand-drawn or computer-aided design (CAD) city models.
The process of creating such models is time-consuming and needs more previous knowledge than scene reconstruction from photos.
Furthermore, when necessary, classic architectural resources such as maps and architectural drawings are simple to include in an interactive reconstruction method.
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Kendra finds the dimensions of a sticky note. She uses a meter stick to determine that the dimensions are 1.25×10−8 meters wide by 2.5×10−6 meters long. Use scientific notation to write the dimensions in millimeters
Answers
The length and the width of the sticky note in millimeters are 2.5 × 10⁻⁵ millimeters and 1.25 × 10⁻³ millimeters respectively.
The dimension of Kendra's sticky note using a meter stick are:
The width of the sticky note is 1.25 × 10⁻⁸ meters and the length of the sticky note is 2.5 × 10⁻⁶ meters.
Now we know,
1 meter = 1000 milimeters.
Therefore, the length of the sticky note in millimeters will be:
L = 2.5 × 10⁻⁸ meters
L = 2.5 × 10⁻⁸ × 1000 millimeters
L = 2.5 × 10⁻⁸ × 10³ millimeters
L = 2.5 × 10⁻⁸ ⁺ ³ millimeters
L = 2.5 × 10⁻⁵ millimeters
So, the width of the sticky note is:
W = 1.25 × 10⁻⁶ meters
W = 1.25 × 10⁻⁶ × 10³ millimeters
W = 1.25 × 10⁻³ millimeters
Hence, the dimension in millimeters is: the width and length of the sticky note is 1.25 × 10⁻³ millimeters and 2.5 × 10⁻⁵ millimeters respectively.
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Help.
A. 6.5
B. 18
C. 36
D. 6
Answers
Answer: The answer is D: 6
james has 12510 toys he wants to share 80 toys with his friends
Answers
Answer: 156.375
Step-by-step explanation:
[tex]x( {e}^{y} + 1) {}^{2} \: {e}^{ - y} dx \: + {e}^{ {x}^{2} } dy \: = 0[/tex]
Exact differential equation
Answers
The correct differential equation for [tex]x(e^{y}+1)^{2} e^{-y}dx+ e^{x^{2} }dy =0[/tex]
is [tex](e^{y}+1)^{2}e^{-y}/ -e^{x^{2}}= dy/dx\\[/tex].
to extract the differential equation we need to express it in the form of dy/dx.
[tex]x(e^{y}+1)^{2}e^{-y}dx=-e^{x^{2}}dy\\x(e^{y}+1)^{2}e^{-y} = -e^{x^{2}}dy/dx\\x(e^{y}+1)^{2}e^{-y}/ -e^{x^{2}}= dy/dx\\[/tex]
What are differential equations?
An equation involving one or more functions and their derivatives is referred to as a differential equation in mathematics. The rate of change of a function at a place is determined by the derivatives of the function. Physicists, engineers, biologists, and other professionals primarily use it in these domains.
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How much will the house be worth?
Answers
Given:
[tex]S=C(1+r)^t[/tex]Where:
• S is the inflated value t years from now
,• r is the rate
,• C is the present value.
Let's solve for S, when:
• r = 6% = 0.06
,• C = $73,000
,• t = 12
Input values into the equation and solve for S:
[tex]S=73000(1+0.06)^{12}[/tex]Solving further:
[tex]\begin{gathered} S=73000(1.06)^{12} \\ \\ S=73000(2.012196472) \\ \\ S=146890.34\approx146890 \end{gathered}[/tex]herefore, the house will be worth $146890
NSWER:
$146,890
For the right triangle below, find the measure of the angle. Please show your answer to one decimal place.
6
13
Answers
The measure of the angle is 1.0 when rounded to one decimal places.
What is right triangle ?If one of the triangle's angles is 90 degrees, the triangle is said to have right angles. The triangle with a right angle is known as a right triangle because a right angle is 90 degrees. Using the Pythagorean rule, it is simple to understand how the different sides of this triangle relate to one another. The greatest side of a right angle is known as the hypotenuse, and it is opposite the right angle. In addition, the right triangles are categorized as isosceles right triangles and scalene right triangles based on the other angle values. Pythagorean triples are another name for the right triangle's side lengths, which include 3, 4, and 5.
Given that : right triangle, we're provided the hypotenuse and the leg next to. We can use the cosine ratio to determine :
Cosθ =[tex]\frac{adjacent}{hypotenuse}[/tex]
Plug in the given information
Cosθ =[tex]\frac{4}{7}[/tex]
Use the inverse cosine ratio
θ = [tex]cos^{-1} \frac{4}{7}[/tex]
Plug this into your calculator (and ensure you're solving for radians instead of degrees in the settings)
θ =0.9626
Therefore, θ = 1.0 when rounded to one decimal places.
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In parts (a) and (b), identify whether the events are Mutually Exclusive, Independent, or Neither (events cannot be both disjoint and independent). which is the correct answera) You and a randomly selected student from your class both earn A's in this course.IndependentMutually ExclusiveNeitherb) You and your class partner both earn A's in this course.NeitherMutually ExclusiveIndependentc) If two events can occur at the same time, they must be independent.TrueFalse
Answers
(a) You and a randomly selected student from your class both earn A's in this course.
Answer: Here selection of one student is independent of the other.
Therefore it is independent.
(b) You and your class partner both earn A's in this course.
Answer: Here enough data is not available to comment whether the given event is mutually exclusive or independent.
Therefore it is neither.
(c) If two events can occur at the same time, they must be independent.
Answer: If both the events occur at the same time then it is not necessary they are independent.
Therefore it is False.
Which of the following expressions do not have a result of zero? Why don't they? If not zero, what is their result? Express your answer in complete sentences. 0 × ( − 7 ) − 8 − ( − 8 ) 0 ( − 4 ) 6 0
Answers
The expressions that do not have a result of zero among the given expression is 6/0.
How can the expression be simplified?It should be noted that the option can be written properly as :
0 x (-7)
-8 - (-8)
0/(-4)
6/0
From the first option, 0 x (-7), the simplification will give us 0.
From the second option, -8 - (-8), the simplification will give us 0.
From the third option, 0/(-4), the simplification will give us 0.
From the forth option, 6/0, the simplification will give us ∞
Therefore, the expression that will not give zero after simplification is 6/0 because it will give us infinity.
Therefore, the last option is correct.
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Which graph is defined by the function given below?
y = (x - 5)(x-5)
Answers
Answer: The graph for this quadratic function has an x intercept of 5 and a y intercept of 25.
Step-by-step explanation: The picture of the graph is attached below.
(I don't know if this is what you're looking for but hope it helps!)
What is the function Rule for function G
Answers
If we wanted to analyze the variables GNP (Gross National Product) and Region at the same time, what would be appropriate to use?
Answers
If we wanted to analyze the variables GNP (Gross National Product) and Region at the same time, bargraph, pie chart, one way table would be appropriate to use.
What exactly do you mean by Gross National products?Gross national product (GNP), calculated without taking into account the depreciation or consumption of capital utilized in the manufacturing process, is the total market value of the final goods and services generated by a country's economy during a given time period (often a year).
What distinguishes the GDP from the GNP?The value of the final domestic goods and services generated inside a country's boundaries is known as the gross domestic product (GDP).
The value of all the finished goods and services that are owned by a nation's citizens, regardless of whether those kinds of goods were made in that nation, is what is known as its gross national product (GNP).
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Evalúe the limit. Show steps
Answers
After evaluating the limit we have came to find that the limit of [tex]\lim_{h\rightarrow 0 }\frac{(4/3 +h)^3-(4/3)^3}{h}[/tex] as h approaches 0 is Undefined
What is limit?A limit is the value that a function, sequence, or index approaches as an input or as an index approaches a particular value in mathematics. The definitions of continuity, derivatives, and integrals depend on limits, which are essential to calculus and mathematical analysis.
The concept of a limit of a sequence is further generalized to include the concept of a limit of a topological network, in addition to having a connection to the category theory concepts of limit and direct limit.
A limit of a function is typically expressed in formulas as
[tex]{\displaystyle \lim _{x\to c}f(x)=L,}[/tex]
To find the limit
⇒ [tex]\lim_{h\rightarrow 0 }\frac{(4/3 +h)^3-(4/3)^3}{h}[/tex]
Evalúe 0 as h
⇒ [tex]\frac{(4/3 +0)^3-(4/3)^3}{0}[/tex]
⇒ Undefined
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Use Prime Factors to find the lcm
14. 6,15
15. 8,14
16. 28,8
17. 24,36
18 25,15
Grade 8 Math
Answers
Lcm of 14. 6,15 is 210 and 15. 8,14 is 840 and 16. 28,8 is 112 and 17. 24,36 is 1224 and 18 25,15 is 450
What is prime factorization ?When a number is represented as the sum of its prime factors, this process is known as prime factorization. In prime numbers, there are just two factors: one and the number itself. 2, 3, 5, 7, 11, 13, and other prime numbers are examples of prime numbers. A number is prime factorized when it is represented as a collection of primes.
i) List all prime factors for each number.
Prime Factorization of 6 is:
2 x 3 = [tex]2^{1}[/tex] x [tex]3^{1}[/tex]
Prime Factorization of 14 is:
2 x 7 = [tex]2^{1}[/tex] x[tex]7^{1}[/tex]
Prime Factorization of 15 is:
3 x 5 = [tex]3^{1}[/tex] x [tex]5^{1}[/tex]
Find the place in the new list where each prime factor appears as a factor the most frequently before adding it there.
The new superset list is
2, 3, 5, 7
To determine the LCM, multiply these elements collectively.
LCM = 2 x 3 x 5 x 7 = 210
In exponential form:
LCM = [tex]2^{1}[/tex] x [tex]3^{1}[/tex] x [tex]5^{1}[/tex] x[tex]7^{1}[/tex] = 210
LCM = 210
Therefore,
LCM(6, 14, 15) = 210
ii)List all prime factors for each number.
Prime Factorization of 8 is:
2 x 2 x 2 = [tex]2^{3}[/tex]
Prime Factorization of 14 is:
2 x 7 = [tex]2^{1}[/tex] x [tex]7^{1}[/tex]
Prime Factorization of 15 is:
3 x 5 = [tex]3^{1}[/tex] x[tex]5^{1}[/tex]
Find the place in the new list where each prime factor appears as a factor the most frequently before adding it there.
The new superset list is
2, 2, 2, 3, 5, 7
To determine the LCM, multiply these elements collectively.
LCM = 2 x 2 x 2 x 3 x 5 x 7 = 840
In exponential form:
LCM = [tex]2^{3}[/tex] x[tex]3^{1}[/tex] x [tex]5^{1}[/tex] x [tex]7^{1}[/tex] = 840
LCM = 840
Therefore,
LCM(8, 14, 15) = 840
iii)List all prime factors for each number.
Prime Factorization of 8 is:
2 x 2 x 2 = [tex]2^{3}[/tex]
Prime Factorization of 16 is:
2 x 2 x 2 x 2 = [tex]2^{4}[/tex]
Prime Factorization of 28 is:
2 x 2 x 7 = [tex]2^{2}[/tex] x [tex]7^{1}[/tex]
Find the place in the new list where each prime factor appears as a factor the most frequently before adding it there.
The new superset list is
2, 2, 2, 2, 7
To determine the LCM, multiply these elements collectively.
LCM = 2 x 2 x 2 x 2 x 7 = 112
In exponential form:
LCM = [tex]2^{4}[/tex] x[tex]7^{1}[/tex]
= 112
LCM = 112
Therefore,
LCM(8, 16, 28) = 112
iv) List all prime factors for each number.
Prime Factorization of 17 shows:
17 is prime = 171
Prime Factorization of 24 is:
2 x 2 x 2 x 3 = [tex]2^{3}[/tex] x [tex]3^{1}[/tex]
Prime Factorization of 36 is:
2 x 2 x 3 x 3 = [tex]2^{2}[/tex] x [tex]3^{2}[/tex]
Find the place in the new list where each prime factor appears as a factor the most frequently before adding it there.
The new superset list is
2, 2, 2, 3, 3, 17
To determine the LCM, multiply these elements collectively.
LCM = 2 x 2 x 2 x 3 x 3 x 17 = 1224
In exponential form:
LCM = [tex]2^{3}[/tex] x [tex]3^{2}[/tex] x [tex]17^{1}[/tex] = 1224
LCM = 1224
Therefore,
LCM(17, 24, 36) = 1224
v)List all prime factors for each number.
Prime Factorization of 15 is:
3 x 5 = [tex]3^{1}[/tex] x [tex]5^{1}[/tex]
Prime Factorization of 18 is:
2 x 3 x 3 = [tex]2^{1}[/tex] x [tex]3^{2}[/tex]
Prime Factorization of 25 is:
5 x 5 = [tex]5^{2}[/tex]
Find the place in the new list where each prime factor appears as a factor the most frequently before adding it there.
The new superset list is
2, 3, 3, 5, 5
To determine the LCM, multiply these elements collectively.
LCM = 2 x 3 x 3 x 5 x 5
= 450
In exponential form:
LCM = [tex]2^{1}[/tex] x [tex]3^{2}[/tex] x [tex]5^{2}[/tex]
= 450
LCM = 450
Therefore,
LCM(15, 18, 25) = 450
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Question: 7 divided by 4 5/11
Answers
The answer to your question is =
1.57142857
Tickets to a football match cost €8, €15 or €20 each. The number of €15 tickets sold was
double the number of €8 tickets sold. 6000 more €20 tickets were sold than €15 tickets.
If the gate receipts totalled €783 000, how many of each type of ticket were sold?
Answers
There are three different types of tickets sold, according on the query ($8, $15, and $20).
8500 $8 tickets
17000 at $15 each
23000 $20 tickets
A linear equation example is what?Ax +By = C is the typical form for two-variable linear equations. For instance, the equation 2x+3y=5 is a standard form linear equation .Finding both intercepts is rather easy when an equation is supplied in this style (x and y).
$8 tickets for x.
$15 tickets are y.
$20 tickets = z
8x + 15y + 20z = 783000 when y = 2x z = y + 6000.
conventional form for the system of linear equations
8x + 15y + 20z = 783000 2x - y = 0 y - z = -6000
x = 8500 $8 tickets
Y = 17000 tickets at $15 each
z = 23000 at $20 each.
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What is the following quotient?
S6+/11
√√5+√3
30+32+√55+√√33
8
30-3√2+√55-√33
2
17
8
52
2
Answers
Quotient is [tex]\frac{\sqrt{30}-3\sqrt{2}+\sqrt{55}-\sqrt{33} }{2}[/tex]
What is rationalizing?When you rationalize an equation, you remove any surpluses from the fractions' bottom (denominator). Typically, when you are requested to rationalize or simplify an expression, it also suggests that you should do so.
To make a fraction's denominator a rational number, we rationalize any radicals or surds present. To accomplish this, we often multiply the numerator and denominator by an appropriate radical, then simplify. Divide and multiply the supplied fraction by the same square root value to rationalize the denominator. The denominator will be a rational integer in this case.
Given Data
[tex]\frac{\sqrt{6}+\sqrt{11} }{\sqrt{5} +\sqrt{3} }[/tex]
Rationalizing,
[tex]\frac{\sqrt{6} +\sqrt{11} }{\sqrt{5}+\sqrt{3} }[/tex] × [tex]\frac{\sqrt{5} -\sqrt{3} }{\sqrt{5} -\sqrt{3} }[/tex]
[tex]\frac{\sqrt{6}+\sqrt{11}(\sqrt{5}-\sqrt{3} ) }{\sqrt{5}+\sqrt{3} (\sqrt{5}-\sqrt{3} }[/tex]
[tex]\frac{\sqrt{30}-\sqrt{18}+\sqrt{55} -\sqrt{33} }{5-3}[/tex]
Quotient is [tex]\frac{\sqrt{30}-3\sqrt{2} +\sqrt{55}-\sqrt{33} }{2}[/tex]
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The area of a square garden is 81 m². How long is each side of the garden?
Each side is m long.
Answers
Answer:
each side would be 9m long
The length of each side of the square garden is 9 meters long.
What is the perimeter?The perimeter of any 2D figure is the sum of the lengths of all the sides except the circle which has a perimeter or circumference which is 2πr.
We know the area of a square is a product of any two sides of the square and all four sides of a square are of the same length.
Given a square has an area of 81m².
∴ We have to determine such a number which when multiplied by itself results in 81.
Such a unique number is 9.
So, the area of the square can be written as (9×9) m².
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