4500(1+0.055)^24
4500(1.055)^24
= 16,265.65456755
Graph the solution set for the inequality
2/5*s +7>=3-4.2s
The solution of the inequality is:
s ≥ -0.86
And the graph can be seen on the image at the end.
How to find the solution set of the inequality?Here we want to find and graph the solution set of the inequality below:
(2/5)*s + 7 ≥ 3 - 4.2*s
To do so, first we need to isolate s in one of the sides, then let's do that:
(2/5)*s + 7 ≥ 3 - 4.2*s
(2/5)*s + 4.2*s ≥ 3 - 7
(2/5 + 4.2)*s ≥ -4
And we know that 4.2 = 21/5
Then:
(2/5 + 21/5)*s ≥ -4
(23/5)*s ≥ -4
s ≥ -4*5/23
s ≥ -20/23
s ≥ -0.86
The graph of this will something like the one below:
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given the length of a vector and its angle measured from the y-axis, which trigonometric function can be used to calculate its y component?
the sin(Ф) trigonometric function can be used to calculate its y component.
What is vector?
Latin word for "carrier" is "vector." Point A is transported to point B by vectors. The direction of the vector AB is the direction in which point A is moved in relation to point B, and the magnitude of the vector is the length of the line connecting the two points A and B. The terms Euclidean vectors and spatial vectors are also used to refer to vectors. Having both magnitude and direction, vectors are geometrical objects. An arrow pointing in the direction of a vector's magnitude and a line representing the vector's direction can be used to depict a vector. Since they have starting and ending points, vectors are symbolized by arrows.
component of a vector along the y-axis is a product of the length of vector and the sine of the angle of a vector with the x-axis.
the trigonometric function can be used to calculate its y component.
Then sin(Ф) trigonometric function can be used to calculate its y component.
Hence the sin(Ф) trigonometric function can be used to calculate its y component.
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A rocket is launched from the ground. It reaches a maximum height of 45 meters in 3 seconds and then lands back on the ground after 6 seconds. What is the function, written in standard form,
that models the trajectory of the rocket? (use shift 6 for the power and no spaces)
f(x) = type your answer...
Check the picture below.
so from the provided information, we can say that the parabola has a vertex at (3 , 45) and it has a zero at (6 , 0) or we can say is just another point at (6 , 0)
[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{a~is~negative}{op ens~\cap}\qquad \stackrel{a~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\begin{cases} h=3\\ k=45\\ \end{cases}\implies y=a(~~x-3~~)^2 + 45\hspace{4em}\textit{we also know that} \begin{cases} x=6\\ y=0 \end{cases} \\\\\\ 0=a(6-3)^2+45\implies -45=9a\implies \cfrac{-45}{9}=a\implies -5=a \\\\\\ ~\hfill {\Large \begin{array}{llll} y=-5(x-3)^2 + 45 \end{array}} ~\hfill[/tex]
The picture below shows the graph of which inequality?
The picture below shows the graph of the inequality of x² ≤ 4
Option C is correct.
What is inequality in mathematics?In mathematics, an inequality is described as a relation which makes a non-equal comparison between two numbers or other mathematical expressions which is used most often to compare two numbers on the number line by their size.
A graph of inequality denotes that the variables is the set of points that represents all solutions to the inequality.
A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality.
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The nth term of a different sequence is 8 - 6n
Is -58 a term of this sequence?
You must show how you get your answer.
[tex]8-6n=-58\\6n=66\\n=11[/tex]
[tex]11\in\mathbb{N}_+[/tex] therefore it is.
-58 is not a term of this sequence.
What is an expression?
An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
We can check if -58 is a term of this sequence by substituting -58 for n in the formula for the nth term:
8 - 6n
= 8 - 6(-58)
= 8 + 348
= 356
Since -58 does not result in 356, we can conclude that -58 is not a term of this sequence.
Thus,
-58 is not a term of this sequence.
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The bookstore had 56 copies of magazine yesterday and sold 1/4 of them today sold 4/7 of what remain how many copies does the book store have 
Answer:
18
Step-by-step explanation:
56 copies
sold 1/4 *56 = 14 copies
42 copies left
4/7 * 42 = 24 copies sold
remaining 42-24 = 18
Jerry got a summer job working for his uncle's construction company, Iron Hammer Builders. This weekend, they are tiling the perimeter of a customer's pool. Each tile is 0.25 feet long, and the perimeter of the pool is 102 feet.
Let t represent how many tiles will cover the perimeter. Which equation models the problem?
The function f(x) = 20x + 80 represents the distance in miles a drone flew. The function g(x) = x + 2 represents the time the drone flew in hours. Part A: Find f(2) and g(2). Show your work. (2 points) Part B: Find f divided by g of 2. Show your work. (2 points) Part C: What is the domain of f divided by g of x? (2 points)
the Domain of f divided by g of x (-∞, -2) to (-2 , ∞)
What is a function?A function is described as a relation among a fixed of inputs having one output every. In easy words, a feature is dating among inputs in which every entry is associated with precisely one output.
Given, The function f(x) = 20x + 80 represents the distance in miles a drone flew.
The function g(x) = x + 2 represents the time the drone flew in hours
Part A:
f(x) = 20x + 80
F(2) = 20*2 + 80
F(2) = 120
g(x) = x + 2
g(2) = 2 + 2
g(2) = 4
Part B: f(x) divided by g(2)
=> f(x) / g(2)
=> (20x + 80 ) /4
=> 5x + 20 (since, g(2) is 4)
Part C: the domain of f divided by g of x
So,
f(x) / g(x ) = (20x + 80)/(x +2)
=> (20x + 80)/(x +2)
Since Denominator can not be zero.
Therefore, the Domain of f divided by g of x (-∞, -2) to (-2 , ∞).
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The product of 2.5 x 2 is five. Is that true? Or false.
Answer:
True
Step-by-step explanation:
2.5 times 2 = 5
So, the answer is true.
in the given figure ab cd and p q. find the measure of x y and z
The measures of x, y and z are 40⁰, 90⁰ and 50⁰
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
We know that co-interior angles are supplementary.
∠APQ+∠CPQ=180⁰
x+∠CPQ=180⁰
x+140⁰=180⁰
x=40⁰
∠BPR+∠PRD=180⁰
z+130⁰=180⁰
z=50⁰
Now, angles x, y and z form a line, hence they sum up to 180∘.
x+y+z=180⁰
40⁰+y+50⁰=180⁰
y=90⁰
Hence, the measures of x, y and z are 40⁰, 90⁰ and 50⁰
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The question is not complete, similar kind of question is given below.
In the given figure, AB || CD. Find the measure of x, y and z.
Learning is a complex set of processes that may vary according to the developmental level of the learner, the nature of the task, and the context in which the learning is to occur. As already indicated, no one theory can capture all the variables involved in learning. References:Gredler, M. E. -2001. Learning and instruction: Theory into practice (4th Ed. ). Upper Saddle, NJ: Prentice-Hall. A learning theory, there, comprises a set of constructs linking observed changes in performance with what is thought to bring about those changes. References:Driscoll, M. P. -2000. Psychology of learning for instruction (2nd Ed. ). Needham Heights, MA: Allyn
Option B is the correct answer which is Paraphrasing plagiarism true for the Student Version.
It can be defined as the student's version displaying paraphrasing plagiarism.
This implies that the student was unable to make an appropriate in-text citation with the name of the author and date to display the reference to the original source.
The student's version also displays 'paraphrasing plagiarism' when the student was unable to make an appropriate in-text citation with the name of the author and date to display with reference to the original source.
An in-text citation is necessary despite the student paraphrasing the information and citing its bibliographical reference in order to avoid plagiarism.
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Full question:
In the case below, the original source material is given along with a sample of student work. Determine the type of plagiarism by clicking the appropriate radio button.
Original Source Material
Student Version
Learning is a complex set of processes that may vary according to the developmental level of the learner, the nature of the task, and the context in which the learning is to occur. As already indicated, no one theory can capture all the variables involved in learning.
References:
Gredler, M. E. (2001). Learning and instruction: Theory into practice (4th Ed.). Upper Saddle, NJ: Prentice-Hall.
A learning theory, there, comprises a set of constructs linking observed changes in performance with what is thought to bring about those changes.
References:
Driscoll, M. P. (2000). Psychology of learning for instruction (2nd Ed.). Needham Heights, MA: Allyn & Bacon.
A learning theory is made up of "a set of constructs linking observed changes in performance with whatever is thought to bring about those changes" (Driscoll, 2000). Therefore, since "learning is a complex set of processes that may vary according to the developmental level of the learner, the nature of the task, and the context in which the learning is to occur, it is apparent that no one theory can capture all the variables involved in learning" (Gredler, 2001).
Which of the following is true for the Student Version above?
Word-for-Word plagiarism
Paraphrasing plagiarism
This is not plagiarism
The Martins' van can hold up to 8 passengers.
Debbie writes the inequality p <8, where p is the number of passengers that can fit in the van.
Select the choice that provides the best explanation for Debbie's error and the correct answer in this case.
00:00
Debbie should have used 8p because 8 passengers can fit in the van. The correct inequality is 8p < 1
00:00
Debbie should have switched the inequality symbol to greater than. The correct inequality is p > 8.
► 00:00
Debbie should have included 8 as a possible choice. The correct inequality is p < 9.
00:00
Debbie should have used the not equals sign to compare the two sides of the inequality. The correct answer is p = 8
Debbie should have included 8 as a possible choice. The correct inequality is p ≤ 8.
Debbie's error is that she did not include the possibility that exactly 8 passengers could fit in the van. Therefore, the correct inequality symbol to use would be less than or equal to, represented by "<=".
The correct inequality is p <= 8. This means that the number of passengers that can fit in the van is either less than or equal to 8. So, including 8 as a possible choice is also necessary to correctly represent the situation.
Hence the correct answer is C.
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--The given question is incorrect; the correct question is
"The Martins' van can hold up to 8 passengers. Debbie writes the inequality p <8, where p is the number of passengers that can fit in the van. Select the choice that provides the best explanation for Debbie's error and the correct answer in this case.
A. Debbie should have used 8p because 8 passengers can fit in the van. The correct inequality is 8p < 1
B. Debbie should have switched the inequality symbol to greater than. The correct inequality is p > 8.
C. Debbie should have included 8 as a possible choice. The correct inequality is p ≤ 8.
D. Debbie should have used the not equals sign to compare the two sides of the inequality. The correct answer is p = 8"--
The radius of a circle is 13 millimeters. What is the circle's circumference?
Answer:
Step-by-step explanation:
The formula for the circumference of a circle is 2 * π * r, where r is the radius of the circle.
Given that the radius of the circle is 13 millimeters, the circumference of the circle is:
2 * π * 13 = 26 * π millimeters
Since the value of π is approximately 3.14, the approximate circumference of the circle is:
26 * 3.14 = 81.64 millimeters.
if you roll a pair of fair dice, what is the probability of: (a) getting a sum of 1? (b) getting a sum of 5?
0.028. is the probability .
Describe probability using an example?
A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty. The likelihood of an event occurring increases as its probability increases. The flip of a fair (impartial) coin serves as a straightforward illustration.
Total sample space = 6*6 = 36
A) Sample space for sum of 1 = 0
So probability of getting a sum of 1 = 0
B) sample space for sum of 5 = {(1,4) , (2,3), (3,2), (4,1)}
So probability of getting a sum of 5 = 4/36 = 0.11
C) sample space for sum of 12 = (6,6)
S, probability of getting a sum of 12 = 1/36 = 0.028.
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4. Find the lateral surface area of the cylinder.
Round to nearest hundredth.
22 ft.
6 ft.
Answer: The lateral surface area of the cylinder can be found using the formula: πr h, where r is the radius and h is the height of the cylinder.
Given that the height of the cylinder is 22 ft, and the diameter is 6 ft, the radius can be found by dividing the diameter by 2: r = 6 / 2 = 3 ft.
So the lateral surface area of the cylinder is: πr h = π * 3 * 22 = 66 * π ≈ 208.36 sq ft.
Rounding to the nearest hundredth, the lateral surface area of the cylinder is 208.36 sq ft.
Step-by-step explanation:
You want to walk from home to a shoe store that is 7/8 miles away. You stop for a rest after 1/4 miles. How much farther do you have to walk? Write your answer as a fraction in simplest form
The distance further you have to walk is 5 / 8 miles.
How to find the distance you have to walk?You want to walk from home to a shoe store that is 7/8 miles away. You stop for a rest after 1/4 miles. The distance you have to walk can be calculated as follows:
Therefore,
distance you have to walk = 7 / 8 - 1 / 4
distance you have to walk = 7 - 2 / 8
distance you have to walk = 5 / 8
Therefore, the distance you have to walk is 5 / 8 miles
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Draw the reflection of the following triangle over the line m.
Which of the numbers below is less than -1.2? Select all that apply.
Therefore , the solution of the given problem of expression comes out to be C) -3.5 , D) -0.75 and E) -1/3 .
What precisely is a expression?Math requires the use of arithmetic, algebra, and divisions. They result in the following when combined: An equation, some statistics, and a mathematical function Values, factors, and mathematical processes like adding, addition and subtraction, complex numbers, and division can all be found in a statement of fact. Different words and terms can be analysed and evaluated.
Here,
Thus , numbers below is less than -1.2
C) -3.5
D) -0.75
E) -1/3
Therefore , the solution of the given problem of expression comes out to be C) -3.5 , D) -0.75 and E) -1/3 .
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The complete question is "Which of the numbers expressions below is less than zero? Select all that apply.
A) 1.2
B) 7/2
C)-3.5
D)-0.75
E)-1/3"
Lincoln High School’s basketball team won the regional playoffs scoring a
total of 60 points, not including free throws. The team made a total of 26
baskets; some were 2-point shots, and the rest were 3-point shots. How
many 2-point shots did the team make?
8
12
13
18
Answer:
18 2-point shots.
Step-by-step explanation:
Two equations.
First modeling 2 point and 3 point shots as x and y.
2x + 3y = 60
Second, modeling the number of shots.
x + y = 26
Which you can alter to substitute.
x = 26 - y
Substitute.
2(26 - y) + 3y = 60
52 - 2y + 3y = 60
y = 8
The team made 8 3-point shots and 18 2-point shots.
multiply out 4(a-7)
Step-by-step explanation:
4(a- 7) = 4×a-(7×4)
= 4a-(28)
= 4a-28.
here are two graphs of clem's waist height vs. time. how are these graphs similar? how are they different?
Both graphs show the same relationship between Clem's waist height and time, but the exponential graph shows a more rapid increase in Clem's waist height over time.
Both graphs depict the relationship between Clem's waist height and time. The first graph is linear and is represented by the equation y = 2x + 3, where y is Clem's waist height and x is the amount of time that has passed. The second graph is exponential and is represented by the equation y = 2^x + 3. Both graphs show that Clem's waist height increases with time – the difference is that the linear graph shows a steady, linear increase, while the exponential graph shows an exponential increase. For example, if Clem's waist height was 3 inches at the start, then after 1 hour it would be 5 inches on the linear graph, but 8 inches on the exponential graph. This difference can be seen in the calculations: 1 hour on the linear graph would be 3 + (2 x 1) = 5 inches, while 1 hour on the exponential graph would be 3 + (2^1) = 8 inches.
In summary, both graphs show the same relationship between Clem's waist height and time, but the both graphs show the same relationship between Clem's waist height and time, but the exponential graph shows a more rapid increase in Clem's waist height over time.
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HELP PLEAASE i need answer nowwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww
Answer:Irrational,2/9,22/100 11/50, Irrational, No Fraction Given, Perfect Square, Non-Perfect Square
Step-by-step explanation:Best fit options for each question.
A can is made from a sheet of medle of 600 cm squared. Determine the dimensions of a can that will maximize volume
Answer:
The dimensions of a cylinder that will maximize volume would be radius = 10 cm and height = 30 cm.
Find the slope of the line passing through each of the following pairs of points. (4, −8), (0, −2)
students in ms. shah's class randomly pick cards numbered from 1 to 25 to figure out the order in which their final projects will be presented. luca picks his number first. then, craig picks a number from the remaining cards. are these two events dependent or independent?
Luca picks his number first. then, craig picks a number from the remaining cards, these two events are Dependent.
Total number of cars are 25,
Luca picks randomly a card so probability is now 1/25 and total number of cars are now 24.
If craig have to pick then the probability of it becomes 1/24 as one card was already picked by the Luca,
So this indicated that these two events are Dependent.
In probability, dependent events are those whose occurrence influences the likelihood of occurrence of another event. Imagine there are 3 red and 6 green balls in a bag. One after the other, two balls are taken out of the bag.
Let A represent the first draw's red ball draw and B represent the second draw's green ball draw. If the first draw's ball is not put back in the bag, then A and B are dependent events because P(B) changes depending on whether the first draw's ball was red or green.
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A gaming store marks up the video games it receives from the manufacturer 30%. Which expressions can be used to determine the price the store charges when the manufacturer charges x dollars? Select all that apply.
The expression that can be used to determine the price is 1.3x
Which expressions can be used to determine the priceThe expression to determine the price the store charges when the manufacturer charges x dollars, after marking up the price by 30%, can be calculated as follows:
Let P be the price the store charges
So, we have the following representation
P = x + (30/100)x
Divide
P = x + 0.3x
Add
P = 1.3x
So, the store charges 1.3x dollars after marking up the price by 30%.
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the following functions represent the population of bison in two regions of a wildlife park, where x is the number of years since 2010. which function represents the total population, h(x), of bison in the two regions of the park x years after 2010? a. b. c. d.
The total population, h(x): of bison in the two regions 0f the park X years after 2010 is h(x) = 1050(1.14)ˣ. So the option a is correct.
The following functions represent the population of bison in two regions of a wildlife park; where X is the number of years since 2010.
f(x) = 600(1.14)ˣ
g(x) = 450(1.14)ˣ
We must tell the function that represents the total population of bison in the two park regions x years after 2010.
h(x) = Total Population
So, h(x) = f(x) + g(x)
Now put the value of f(x) and g(x)
h(x) = 600(1.14)ˣ + 450(1.14)ˣ
Take (1.14)ˣ on both side, we get
h(x) = (600 + 450)(1.14)ˣ
h(x) = 1050(1.14)ˣ
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The complete question is:
The following functions represent the population of bison in two regions of a wildlife park; where X is the number of years since 2010.
f(x) = 600(1.14)ˣ
g(x) = 450(1.14)ˣ
Which function represents the total population, h(x): of bison in the two regions 0f the park X years after 2010?
h(x) = 1,050(1.14)ˣ
h(x) = 1,050(2.28)²ˣ
h(x) = 1,050(1.14)²ˣ
h(x) = 1,050(2.28)ˣ
Circle A has a radius of 10 centimeters. BC and CD are tangent to circle A. I’d ACTUALLY=26 cm, what is BC?
The measure of BC is 24 cm.
The diagram of circle A with two tangents is given in the attached figure.
The given radius of the circle is 10 cm.
AC = 26 cm
We require to calculate the value of BC.
We have,
AD = AB = 10 cm
We know that the radius of a circle is always perpendicular to the tangent at the point of intersection. It suggests that triangle ABC is a right-angle triangle.
Using the Pythagoras theorem, we get
AB² + BC² = AC²
10² + BC² = 26²
BC² = 676 - 100
BC² = 576
Take square root on both sides,
BC = √576
BC = 24
The measure of BC is 24 cm.
Hence, the correct answer is B.
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--The given question is incomplete; the complete question is
"Circle A has a radius of 10 centimetres. BC and CD are tangent to circle A. If AC = 26 cm, what is BC?
A)20cm
B)24cm
C)26cm
D)2√194cm'--
Tyler finds some nickels and quarters under the couch cushions. How much money (in cents) does he have if he has 10 nickels and 8 quarters? How much money (in cents) does he have if he has
n
n nickels and
q
q quarters?
By evaluating an equation we will see that the value of the coins is $5.
How much money does he have now?Each nickel is whorth $0.10 and each quarter is whorth $0.25, so the value for n nickels and q quarters is given by the equation below:
v = q*0.25 + n*0.10
Here we know thathe has 10 nickels and 8 quarters, replacing that we will get:
v = 8*0.25 + 10*0.10
v = 4 + 1
v = 5
The value is 5 dollars.
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Two parallel lines are cut by a transversal.
1/2
3/4
5/6
7/8
If the measure of 2 is 75°, what is the measure of 5?
A.) 180°
B.) 75°
C.) 105°
D.) 90°
The value of the measure of 5 is,
⇒ ∠5 = 105°
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
Given that;
Two parallel lines are cut by a transversal.
And, the measure of 2 is 75°.
Here, Angle 2 and 3 are vertically opposite angle.
Hence, angle 2 and 3 are equal.
And, Angle 3 and 5 are adjacent angle.
Hence, We get;
⇒ ∠3 + ∠5 = 180°
⇒ 75 + ∠5 = 180°
⇒ ∠5 = 180 - 75
⇒ ∠5 = 105°
Thus, The value of the measure of 5 is,
⇒ ∠5 = 105°
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