Answer:
The answer is below
Step-by-step explanation:
The horizontal asymptote of a function f(x) is gotten by finding the limit as x ⇒ ∞ or x ⇒ -∞. If the limit gives you a finite value, then your asymptote is at that point.
[tex]\lim_{x \to \infty} f(x)=A\\\\or\\\\ \lim_{x \to -\infty} f(x)=A\\\\where\ A\ is\ a\ finite\ value.\\\\Given\ that \ f(x) =25000(1+0.025)^x\\\\ \lim_{x \to \infty} f(x)= \lim_{x \to \infty} [25000(1+0.025)^x]= \lim_{x \to \infty} [25000(1.025)^x]\\=25000 \lim_{x \to \infty} [(1.025)^x]=25000(\infty)=\infty\\\\ \lim_{x \to -\infty} f(x)= \lim_{x \to -\infty} [25000(1+0.025)^x]= \lim_{x \to -\infty} [25000(1.025)^x]\\=25000 \lim_{x \to -\infty} [(1.025)^x]=25000(0)=0\\\\[/tex]
[tex]Since\ \lim_{x \to -\infty} f(x)=0\ is\ a\ finite\ value,hence:\\\\Hence\ the\ horizontal\ asymtotes\ is\ at\ y=0[/tex]
Please help me on this!!!!!!
Answer:
y = -[tex]\frac{1}{2}[/tex]x+6
Step-by-step explanation:
First off, you need to know what slope-intercept form is: y = mx+b
y = mx+b
b = the y-intercept, or where the line meets with (0,y), which is value of the coordinate is the y-intercept.
Looking at your yellow dot on the y axis, (0,6), could be the perfect fit to find the y-intercept.
So, know we know: y = mx+6
m = the slope of the line - you have to find two coordinates
in this case, it could be the two yellow points
(0,6)
(6,3)
use the following two coordinates to find the slope:
[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
In this case, it would be 3-6/6-0, which equals to -1/2.
So, finally, we get:
y = -[tex]\frac{1}{2}[/tex]x+6
Shayna and Arjun each improved their yards by planting grass sod and geraniums. They bought
their supplies from the same store. Shayna spent $16 on 2 ft² of grass sod and 1 geraniurn, Arjun
spent $73 on 1 ft² of grass cod and 7 geraniums. What is the cost if one ft² of grass sod and the cost of one geranium?
The cost of 1 ft² grass sod is $3 and the cost of 1 geranium is $10.
This is found using simultaneous equations.
What are simultaneous equations?
A finite set of equations for which common solutions are sought is referred to as a set of simultaneous equations, often known as a system of equations.
Let,
x = Cost of 1 ft² grass sod
y = Cost of 1 geranium
In Shayna's case
Grass sod = 2ft²
Geranium bought = 1
Cost = $16
Equation
2x + y = 16 ⇒ (1)
In Arjun's case
Grass sod = 1 ft²
Geranium = 7
Cost = $73
Equation
x + 7y = 73 ⇒ (2)
Solving the equation (1) and (2)
From (1)
y = 16 - 2x
Substituting the above in (2)
x + 7 (16-2x) = 73
-13x = -39
x = 3
y = 16 - 2*3 = 10
Therefore from the solution of the above simultaneous equations, we can conclude that the cost of 1 ft² grass sod is $3 and the cost of 1 geranium is $10.
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I need help asap please and thank you
Answer:
1) (-1;4), (4;3)
2) (-1;4), (0;0)
Step-by-step explanation:
Did I Help You?
A metalworker has a metal alloy that is 30% copper and another alloy that is 60% copper. How many kilograms of each alloy should the metalworker combine to create 50 kg of a 48% copper alloy?
If a metalworker has a metal alloy that is 30% copper and another alloy that is 60% copper. The amount of kilograms of each alloy is: 20kg of 30% copper alloy must be combined with 30kg of 60% copper alloy to obtain 50 kg of 48% copper alloy.
How to find the amount of kilograms?Let a be the amount of 30% copper alloy and b be the amount of 60% copper alloys. The combined alloys must be 50 kilograms.
a + b = 50 kg
The total copper in the mixture:
0.30a + 0.60b = 0.48(50)
Substitute by making use of the first equation
0.30(50-b) + 0.60b = 24
15 -0.30b + 0.60b =24
0.30b= 9
Divide both side by 0.30b
b = 9/0.30
b = 30
The amount of 30% copper alloy needed is:
a= 50-b
a = 50 -30
a = 20
Therefore 20 kg of 30% copper alloy must be combined with 30 kg of 60% copper alloy to obtain 50 kg of 48% copper alloy.
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HELP ASAP (100 POINTS)
It is impossible to determine the constant of proportionality from the information given. A proportional relationship is when two quantities are related by a constant factor. The graph shows the relationship between math test raw scores and a certain number of points, but the constant of proportionality cannot be determined based on this alone. To determine the constant of proportionality, we would need to know how the points are calculated based on the raw scores, and see an equation that relates the two variables.
If two sides of a triangle are 5 and 7 which would be the third side
Answer:
2 < x < 12
Step-by-step explanation:
given 2 sides of a triangle then the third side x is in the interval
difference of 2 sides < x < sum of 2 sides , that is
7 - 5 < x < 7 + 5
2 < x < 12
third side could be 3, 4, 5, 6, 7, 8, 9, 10, 11
What are the factors of 904?
904 is a composite number.
Prime factorization: 904 = 2 × 2 × 2 × 113, which can be written 904 = 2³ × 113.
What is a factor in math?
A factor is a number that divides another number, leaving no remainder. In other words, if multiplying two whole numbers gives us a product, then the numbers we are multiplying are factors of the product because they are divisible by the product
The exponents in the prime factorization are 3 and 1. ...
Factors of 904: 1, 2, 4, 8, 113, 226, 452, 904.
Factor pairs: 904 = 1 × 904, 2 × 452, 4 × 226, or 8 × 113.
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What are the 5 algebraic properties of equality?
The five algebraic properties of equality are: Reflexive, Symmetric, Transitive, Addition, and Multiplication properties
Reflexive property: For any real number a, a = a.Symmetric property: For any real numbers a and b, if a = b, then b = a.Transitive property: For any real numbers a, b, and c, if a = b and b = c, then a = c.Addition property of equality: For any real numbers a, b, and c, if a = b, then a + c = b + c.Multiplication property of equality: For any real numbers a, b, and c, if a = b, then a * c = b * c.These properties are the foundation of algebraic manipulation and are used to solve equations and simplify expressions.
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Write the rule to describe the transformation
Answer:
Dilation of 2
Step-by-step explanation:
Note that [tex]SR=2[/tex] and [tex]S'R'=4[/tex].
The scale factor is defined as the ratio of the length of the side of the image to the length of the corresponding side of the preimage.
So, the scale factor is [tex]\frac{4}{2}=2[/tex].
True or False?
When solving two-step equations, you are basically using the reverse order of operations to solve the two-step equations.
What is the growth factor in an exponential function?
The growth factor in an exponential function is the constant multiplier that is used to generate the next value in a sequence. It is usually represented by the letter r or b.
The growth factor in an exponential functionThe growth factor in an exponential function is a constant multiplier that is applied to each successive value in the series to generate the next value.
For example, with an exponential function of the form y = a*b^x, the growth factor is represented by the letter b.The growth factor is essentially the rate of growth of the exponential function, and is calculated by taking the ratio of two successive values of the function.
For example, with the function y = 2*3^x, the growth factor would be calculated by taking the ratio of y(x+1) / y(x) = 3. This means that for every one unit increase in the value of x, the value of y is multiplied by 3.The growth factor is an important concept in exponential functions, as it helps describe how quickly the function is growing or decaying.
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How do you solve 2 ordered pairs?
An ordered pair is a set of two values, (x,y), that represents a point on a coordinate plane. To solve an ordered pair means to find the coordinates (x,y) of a point on a coordinate plane.
To solve two ordered pairs, you would need to know the coordinates of both points, and then you can graph them on a coordinate plane to visualize the relationship between the two points.
For example, if you have the ordered pairs (2,3) and (4,5), you can graph them on a coordinate plane with the x-axis and y-axis, where x represents the horizontal position and y represents the vertical position. The point (2,3) would be located at 2 on the x-axis and 3 on the y-axis, and the point (4,5) would be located at 4 on the x-axis and 5 on the y-axis.
Once you have plotted the points on a coordinate plane, you can use them to make a conclusion about the relationship between the two points, for example if they are in the same line, if the distance between them, if they form a slope, etc.
adding probabilities common core algebra i
The Poisson law states that the probability of at least 2 different changes daily is 0.0263. Thus, 0.0263% of changes happen twice or more each day.
Define probability.The mathematical method it explains for calculating probability calculates all the probabilities of something occurring in the setting of specific random events. A probability's proximity to the unit value and, conversely, its distance from zero can make one less comfortable in the outcome. The confidence level is based on how close the probability value is, which is calculated using a range from 0 and 1
Here,
The conditional probability function for X is the amount of times the incident occurs over a specific period of time.
In this experiment, the frequency, or x, at which an event occurs is counted.
The likelihood of the event happening throughout each period is equal.
The number of events in one period is independent of the number in other intervals.
The first step is to set the discrete stochastic process X to the number of website content updates.
Let's say that there are on average x content changes every day.
The Poisson distribution law states that the probability of at least 2 changes each day is 0.0263.
0.0263% of changes occuring twice or more as a result per day.
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26. Workplace injuries (5.2, 5.4) Pick a nonfatal work- place injury in private industry at random. The table gives the probability model for the day of the week that the injury took place.
Day: Sunday Monday Tuesday Wednesday
Probability: 0.06 0.18 0.17 0.17
Day: Thursday Friday Saturday
Probability: x 0.15 0.09
(a) Find the probability that the randomly chosen injury took place on a Thursday.
This is Probability and Statistics!
(b) Find the probability that the injury took place on a weekday (Monday through Friday).
(c) Given that an injury took place on a weekday, what is the probability that it took place on a Monday?
a) The probability that the randomly chosen injury took place on a Thursday would be 0.17.
b) The probability that the injury took place on a weekday (Monday through Friday) would be 0.84.
c) The probability that it took place on a Monday would be 21.4%.
What is the probability?
Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 indicates that an event is impossible, and 1 indicates that an event is certain.
(a) To find the probability that the injury took place on a Thursday, we need to find the value of x in the probability table:
Day: Sunday Monday Tuesday Wednesday
Probability: 0.06 0.18 0.17 0.17
Day: Thursday Friday Saturday
Probability: x 0.15 0.09
The sum of the probabilities for each day must equal 1. So we can set up an equation to find x:
0.06 + 0.18 + 0.17 + 0.17 + x + 0.15 + 0.09 = 1
0.83 + x = 1
x = 0.17
The probability that the injury took place on a Thursday is 0.17.
(b) To find the probability that the injury took place on a weekday (Monday through Friday), we sum the probabilities for Monday, Tuesday, Wednesday, Thursday, and Friday:
0.18 + 0.17 + 0.17 + 0.17 + 0.15 = 0.84
The probability that the injury took place on a weekday is 0.84.
(c) Given that an injury took place on a weekday, we can use Bayes' Theorem to find the probability that it took place on a Monday. Let A be the event that the injury took place on a weekday, and B be the event that the injury took place on a Monday. Then:
P(B|A) = P(B and A) / P(A)
P(B and A) = P(B) = 0.18
P(A) = 0.84 (from (b))
So:
P(B|A) = 0.18 / 0.84 = 0.214 or 21.4%
The probability that the injury took place on a Monday, given that it took place on a weekday, is 21.4%.
Hence,
a) The probability that the randomly chosen injury took place on a Thursday would be 0.17.
b) The probability that the injury took place on a weekday (Monday through Friday) would be 0.84.
c) The probability that it took place on a Monday would be 21.4%.
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Given the equation f(x) = x³ - 2x, find the average rate of change of the function over the interval -1 ≤ x ≤ 5.
what is the 4+6+9+0+6000438975.226
Answer:
It equals 0
Step-by-step explanation:
Hope it helps!
What is this number in standard form?
(4×100)+(1×10)+(3×1/10)+(5×1/1,000)
410.3005
thats the answer but i need to add more characters ignore this
A student randomly draws a card from a standard deck of 52 cards. He records the type of card drawn and places it back in the deck. This is repeated 20 times. The table below shows the frequency of each outcome.
Outcome Frequency
Heart 7
Spade 3
Club 6
Diamond 4
Determine the experimental probability of drawing a heart.
0.13
0.25
0.35
0.70
Answer:
.35
Step-by-step explanation:
Experimentally 7 hearts were drawn with 20 tries
7/20 = .35
Answer: A: 0.13
Step-by-step explanation:
Magela is modeling 3.18 / 6. How should she exchange the place value blocks so she can make 6 equal shares?
Place value blocks should be exchanged as
30 tenths and 18 hundredths for modeling 3.18/6 .
What is place value ?Place value can be defined as the value represented by a digit in a number on the basis of its position in the number. For example, the place value of 7 in 3,743 is 7 hundreds or 700. However, the place value of 7 in 7,432 is 7 thousands or 7,000.
Given,
Number to model = 3.18/6 = 0.53
The number is 3 wholes 1 tenths and 8 hundredths.
To divide it into 6 equal shares she has to exchange place value blocks as
30 tenths and 18 hundredths
Making its equal shares
30/6 tenths and 18/6 hundredths
5 tenths and 3 hundredths
Hence, 30 tenths and 18 hundredths is the way to exchange place value blocks for modeling 3.18/6.
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what is the solution to the equation 1/ the root of 8 =4^(m-2). 15/4 11/4 5/4 9/4 plsssss help
m = 5/4 is the solution to the equation
How to find the solution to the equation?
An indices equation is an equation that relates the indices of two or more variables or functions in a mathematical expression. The indices are the exponents of the variables or functions, and the equation states the relationship between them.
The equation can be simplified as follows:
[tex]\frac{1}{\sqrt{8} } = 4^{m-2}[/tex]
[tex]\frac{1}{8^{\frac{1}{2} } } = 4^{m-2}[/tex]
[tex]8^{-\frac{1}{2} } = 4^{m-2}[/tex]
[tex](2^{3})^{-\frac{1}{2} } = 2^2^{(m-2)}[/tex]
[tex]2^{-\frac{3}{2} } = 2^2^{(m-2)}[/tex]
Equate the powers or exponents:
-3/2 = 2(m-2)
-3/2 = 2m - 4
2m = -3/2 + 4
2m =5/2
m = 5/4
The solution to the equation is m = 5/4
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Please help as soon as possible!!!
Answer:
Anything to the 0 power is equal to 1
Step-by-step explanation:
Answer:
Anything to the zero power equals 1.
Assignment
The values in the table represent a function.
f(x)
x
-6
7
4
3
-5
8
3
-5
.
-2
12
Use the drop-down menus to complete the
statements.
The ordered pair given in the first row of the table can
be written using function notation as
î
f(3) is
f(x) = -5 when x is
So on solving the provided question we cans ay that function f(3) is f(x) = -5 so x = 3
what is function?The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.
here, we have
f(3) is f(x) = -5
so x = 3
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After picking apples at Fruitville Orchards, Sidney stops at the orchard's market to get some fresh apple cider. She wants to drink a pint of cider at the orchard. She also wants to bring a pint of cider to each of her 5 friends later in the day. How many 1-quart jugs of apple cider should she buy?
Sidney should buy 3 1-quart jugs of cider.
What is mean by pint?
The pint is a liquid amount that is equal to one eighth of a gallon and it is also equal to one half of a quart.
How many 1-quart jugs of apple cider should Sidney buy?
Sidney wants to drink a pint of cider. She also wants to bring a pint of cider to each of her 5 friends.
So, she needs total 6 pints of cider.
As per standard metric unit, 1 liquid pint = 0.5 liquid quart
6 liquid pints = (6 × 0.5) liquid quart = 3 quarts
So, Sidney should by 3 quarts of apple Cider that means 3 amounts of 1 -quart jugs of cider.
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i need help willing to give 10 pts if anybody to help me with these quiz 4-1 classifying and solving for sides/ angles in triangles
The Values of missing angles are shown below.
What is angle Sum Property?Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.
6. Using Angle sum property
<1 + 72 + 57 = 180
<1 = 51
Now, <2 +72 = 90
<2 = 18
<and, <3+ 57 = 180 (linear pair)
<3 = 123
Now, <4 = 180- 123- 18
<4 = 39
7. <1 = 180- 129 = 51 (linear pair)
<2 = 180- 51 - 95 = 34 (Angle sum property)
<3 = 95 (Vertical opposite angle)
<4= 180- 47 - 95 = 38
<5 = 47 (Vertical opposite angle)
<7= 180-121= 59
<6= 180-59-47= 74
8. Using Angle sum property
13x+ 2 + 5x - 7 + 3x -4 = 180
21x -9 = 180
21x = 189
x= 9
So, angles are 13x+2 = 119, 5x-7 = 38 and 3x-4 = 23
9. Using Exterior Angle property
19x- 18 = 7x+1 + 10x- 9
19x - 18 = 17x - 8
2x = 10
x= 5
So, angles are 19x-18 = 77, 7x+1 = 36 and 10x-9 = 41
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Graph a right triangle with the two points forming the hypotenuse. Using the sides, find the distance between the two points, to the nearest tenth (if necessary).
(−3,−6) and (4,−8)
Pls help I need this
The distance between these two points is √53 units.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
The two points of a triangle are (−3,−6) and (4,−8)
The length along a line or line segment between two points on the line or line segment.
Distance=√(x₂-x₁)²+(y₂-y₁)²
=√(4+3)²+(-8+6)²
=√7²+2²
=√49+4=√53
So the distance between these two points is √53 units
Hence, the distance between these two points is √53 units.
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What type of sequence is 1 1 2 3 5 8?
Answer:
Fibonacci sequence
Step-by-step explanation:
A sequence where a term in the sequence is the sum of the 2 previous terms , is a Fibonacci sequence , that is
1 + 1 = 2
2 + 1 = 3
3 + 2 = 5
5 + 3 = 8
please help for points
Answer:
the answer is A
Step-by-step explanation:
did it not the long ago
Which statements are true about the regular polygon select three options
Answer:
Each interior angle measures 108 degrees. All of the angles are congruent. The sum of the measures of the interior angles is 180(5 – 2)°.
got moved to a new class, no intro no subject, i dont know what kind of problem this is or how to solve it,, help pls!!!
Answer:94
Step-by-step explanation:
English is not my first language, so I don't know if you understand what I meant in the explanation.
What is the area of the right triangle with base 5 cm and altitude 4cm?
The area of the right triangle with base 5 cm and altitude 4 cm will be 10 cm².
The area of right triangle is calculated using the formula -
Area = 1/2 × b × h. In the formula, the b is base of triangle and h is height of triangle.
Keep the values in formula to find the area of the right triangle.
Area = 1/2 × 5 × 4
Performing division on Right Hand Side of the equation
Area = 5 × 2
Performing division on Right Hand Side of the equation
Area = 10 cm²
Therefore, the area of right hand triangle will be 10 cm².
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