Answer:
Step-by-step explanation:
6) diameter = 2 cm
Radius is half of diameter
r = 2 /2 = 1 cm
Area of circle = πr² {Plugin r = 1 in the formula}
= π*1²
= π cm²
7) r = 7.4 cm
Area = πr²
= π * 7.4*7.4
= 54.76π cm²
he button provides an automatic means of checking for mathematical errors within formulas of a worksheet.
The Error checking button provides an automatic means of checking for mathematical errors within formulas of a worksheet.
The modeling process begins with the framing of a conceptual model that shows the relationships between the various parts of the problem being modeled.
Arrows pointing from the selected cell to cells that depend on the selected cell are generated by using the Trace dependents button of the Formula Auditing group.
nodes in an influence diagram represent part of the model
The Trace Precedents button, located in the Formula Auditing group, creates arrows pointing to the selected cell from cells that are part of the formula in that cell
The Error checking button provides an automatic means of checking for mathematical errors within formulas of a worksheet.
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Which investment option made the most money after 10 years?
Which option yielded the most total money by the time you were 60 years old?
Option 3 yielded the most money after 10 years is 171.7
Option 1 yielded the most total money by the time you were 60 years old is 8,771.56
Define the term solution of equation?A solution of an equation is a value or set of values that satisfy the equation, meaning that when the value(s) is substituted for the variable(s) in the equation, both sides of the equation are equal.
Based on the given equations, Option 1 yielded the most money after 10 years, and Option 3 yielded the most total money by the time you were 60 years old.
After 10 years:
Option 1: 50×(1.09)¹⁰ - 30 = 88.36
Option 2: 50×(1.08)¹⁰ - 20 = 87.94
Option 3: 100×(1.07)¹⁰ - 25 = 171.71
Therefore, Option 3 yielded the most money after 10 years is 171.7
By the time you were 60 years old:
Option 1: 50×(1.09)⁶⁰ - 30 = 8,771.56
Option 2: 50×(1.08)⁶⁰ - 20 = 5,042.85
Option 3: 100×(1.07)⁶⁰ - 25 = 5,769.64
Therefore, Option 1 yielded the most total money by the time you were 60 years old is 8,771.56
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1. Observa el siguiente conjunto de enteros (-1,0, 1)
A. ¿Cuál de las propiedades de los números reales son verdaderas
para el conjunto?
Answer:
no hablo espanol papas fritas papas fritas papas fritas papas fritas papas fritas papas fritas papas fritas papas fritas
Step-by-step explanation:
The sets and are given below.
, , , , ,
, , , , ,
Find the intersection of and .
Find the union of and .
Write your answers using set notation (in roster form).
The intersection of M and F is {d}.
The union of M and F is {b, d, e, h, j}
What is the union and the intersection?A set is a collection that is used to model a collection of different things. A set can be described as a collection of objects whose elements are fixed and cannot be changed.
To write a set in a roster form, the elements in the set are written in a row within curly brackets - { }. The elements in the set would be separated by commas.
The intersection represents only elements that are common to two or more sets. Th sign used to represent intersection is ∩. The union of sets are all the elements in the set. The sign used to represent union is U.
The intersection of M and F = d.
It is only d that is in both set M and set F.
The union of M and F = {b, d, e, h, j}
Here is the complete question:
The sets M and F are given below.
M= ( b, d, h)
F= (d, e, j)
find the union of M and F. Find the intersection of M and F.
Write your answers using set notation (in roster form).
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Find the cost price of an article sold at $360 with a profit of 20%.
Step-by-step explanation:
360÷100×20
=72
so 360+72
=432
pls give brainliest!!
You can buy 24 doughnuts for $8.40. Jane Dough sells each doughnut for an additional 15 cents to earn a profit from what it originally costs her to make them. How much does it cost Jane to make each doughnut?
A.15 cents
B.20 cents
C.55 cents
D.$2.70
Answer:
B I think
Step-by-step explanation:
Question 10 of 25 What is the recursive formula for this geometric sequence? -2,-16, -128, -1024,... A. ○ B. C. (a, D. 3₁ = :-2 an = 2n-1 = = -2 an = an-1.8 • a₁ = 8 an = an-1• (-2) (a₁ = -8 30 = 20-1.2 SUBMIT
Answer:
\(a_{n}\) = 8\(a_{n-1}\) ; a₁ = - 2
Step-by-step explanation:
a recursive formula in a geometric sequence allows a term to be found by multiplying the preceding term by the common ratio r
here r = \(\frac{a_{2} }{a_{1} }\) = \(\frac{-16}{-2}\) = 8 , then
\(a_{n}\) = 8\(a_{n-1}\) ; a₁ = - 2
Can someone explain to me why I got this question wrong? The reasoning for my answer (2, 3) for the vertex is because in the setup for the equation f(x) = a( x - h ) + k, x is subtracted from h. If h was negative, it would be adding instead because it'd be a negative and a negative. So I know h is positive. Am I misunderstanding the question? Will give brainliest!
Kevin's error is that he incorrectly identified the vertex of the parabola as (3, 2) instead of (2, 3), which resulted to the parabola opens downward. The correct vertex is at (2, 3) and the parabola opens upward.
Correcting an Error in Identifying the Vertex and Direction of a Parabola.You are correct that the vertex of the parabola can be determined using the equation f(x) = a(x - h)² + k, where the vertex is at (h, k). In this case, we have f(x) = -(x-2)² + 3, so the vertex can be found by setting x - 2 = 0, which gives x = 2. Plugging this value into the equation,
we get f(2) = -(2-2)² + 3 = 3, so the vertex is at (2, 3).
However, your reasoning for why h is positive is not correct. The expression x - h represents the horizontal distance from the vertex to any point on the parabola. So if x is greater than h, then the expression x - h will be positive, and if x is less than h, then the expression x - h will be negative. In this case, the vertex is at (2, 3), so we have h = 2. This means that any point to the right of the vertex will have a positive value of x - h, while any point to the left of the vertex will have a negative value of x - h.
Therefore, the correct explanation of Kevin's error is that he incorrectly identified the vertex as (3, 2) instead of (2, 3), and as a result, he also incorrectly concluded that the parabola opens downward. In fact, the parabola opens upward because the coefficient of the x² term, -1, is negative.
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1 + 1=2 will make brainliest
Answer:
yep that is totally true
Answer: 12 x 12 +144
Step-by-step explanation:
Add: (12bc - 16cd) + (8cd - 6bc + 4bd)
Answer:B
Step-by-step explanation:
Match the event with the most appropriate probability word: The roll of a normal fair dice will show a 7.
A. Certainly
B. Likely
C. Evens
D. Unlikely
E. Impossible
F. Other
Answer this, plz.
Answer:
Option 3
Evens
. . . . . .. . ..
Question 2
No calculations are necessary to answer this question.
3/01
3/02
$1.7420 $1.7360
Date
July GBP Futures
Contract Price
O long; long
Based on the closing prices of July GBP Futures Contract over the 3-day period in March 20XX as shown above, you shou
position on 3/01 and a position on 3/02.
O long; short
O short; short
3/03
short; long
$1.7390
The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.
if you played this game 559 times how much would you expect to win or lose? round your answer to two decimal places. losses must be expressed as negative values.
The probability of winning or loosing the game is x/559
The term probability is known as the occurrence of a random event and it can be written between zero to one.
Here we need to find how much would you expect to win or lose, if you played this game 559 times.
While we looking into the given question, we have known that there is no proper number of time that the coin has tossed so let us consider x be the amount of time the coin has been tossed.
AS we know that the formula to find the probability is written as
P(E) = n(E)/n(S)
here the value of n(S) is 559 and the value of n(E) is x.
So, the probability is written as,
=> P = x/559
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Plz help me I need help math
A campfire has a flame 24 inches tall after burning for 4 hours. After 6 hours, it is 20 inches tall. Write a linear equation to model the relationship between height h of the fire and time t. Predict how tall the fire will be after burning 8 hours.
(I dont have many points as this is a new account but i will mark brainiest if work is shown and correct answer)
The linear equation that model the above is h = 32 -2t and the height of fire after 8 hours is 16 inches
What is a linear equation?A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant.
Using the equation for a straight line and writing similar
h = mt + c
h = height, t = hours m and c are constants
at h = 24, t = 4
Equation becomes
24 = 4m + c--------------1
at h = 20, t = 6
20 = 6m + c---------------2
Subtract equation 2 from 1 so that the eqution reduces to
4 = -2m
m = 4/-2
m = -2
substitute m in equation 1
24 = 4( -2) + c
24 = -8 + c
c = 32
substituting m and c in he linear equation above we have
h = 32 - 2t
After 8 hours, the height h = 32 -2(8) which is 16 inches
In conclusion the linear equation is h = 32 - 2t and the height of fire after 8 hours is 16 inches
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The following expressions are factorizations of 60. Which is the prime factorization?А 6 x 10B 5 x 12с 2 x 2 x 15D 2 x 2 X 3 X 5
the prime factorization of 60 is 2x2x3x5
Thus the answer is D
what is the exact factorization of 12x+3xy+2zy+8z
Answer:
3x2y−3xy+12x−12
Take out 3xy common from first two terms and 12 from last two terms.
3xy(x−1)+12(x−1)
(x−1)(3xy+12)
A spinner at the fair has 5 sections. The sections are numbered 10, 20, 30, 40, and 50. During the first hour, players spun the spinner 200 times. The results are shown in the table below. Results for the First Hour Spinner Number Number of Times Spun 50 10 40 20 30 40 20 50 10 80 During the last hour of the fair, the arrow on the spinner was spun 50 times. Based on information from the table, what number is the most reasonable prediction of the number of times the arrow stopped on 30?
Answer:
im guessing 30 or 40
Step-by-step explanation:
29.For n ≥ 3, a pattern can be made by overlapping n circles, each of circumference 1 unit, so that each circle passes through a central point and the resulting pattern has order-n rotational symmetry.
For instance, the diagram shows the pattern where n = 7.
If the total length of visible ares is 60 units, what is n?
The value of n can be determined by finding the number of visible arcs in the pattern, which is 30 in this case.
To determine the value of n, we need to find the relationship between the total length of visible areas and the number of circles (n).
In the given pattern, each circle contributes to the visible area twice: once as its circumference and once as the overlapping part with the adjacent circles. Since the circumference of each circle is 1 unit, the visible area contributed by each circle is 2 units.
Therefore, the total length of visible areas can be expressed as 2n. Given that the total length is 60 units, we can set up the equation:
2n = 60
Solving this equation, we find:
n = 60/2 = 30
Thus, the value of n is 30.
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The price of the T.V. was $246 dollars. The new price is $221 dollars. Was it an increase or decrease and by how much?
Can someone please help with this
Answer:
x = 8
y = 8
Step-by-step explanation:
The two equations are:
x + y = 16 (1)
x = y (2)
Since x = y substitute for y in terms of x in (1):
x + x = 16
2x = 16
2x/2 = 16/2
x = 8
y = 8
PLEASE HELP FAST !!!!!!!!
Identify the equation that represents a quadratic relationship
Answer:
Step-by-step explanation:
Quadratic means squared equation so
the first one is your answer.
y= 4x²
Con Beads for Everyone Mrs. Harris wants her nineteen students to each have twenty-four beads to make a bracelet. Mrs. Harris finds beads in bags at the store. There are twelve beads in each bag. How many bags of beads does Mrs. Harris need to buy so she has exactly enough beads for her nineteen students? Each bag of beads costs $0.59. How much will Mrs. Harris spend on the beads? Show all your mathematical thinking.
Answer:
i.She needs 96 bags of beads
ii.She will spend $56.64 on the beads
Step-by-step explanation:
i.19×24=456
12÷456=96
96 bags
ii.96×0.59
=56.64
$56.64
Can I please get some help I’ve been stuck on this question for a while!
Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes
How many minutes of the ride are spent higher than 28 meters above the ground?The radius of the Ferris wheel is 30 / 2 = 15 meters.
The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.
The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.
The angle between these two positions is 180 degrees.
The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.
Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.
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Today is Lucy's birthday. She is 5 years old. How old is Lucy in months?
Answer:
60 months
Step-by-step explanation:
hope that helps
Answer:
60 months
Step-by-step explanation:
12 months in a year
12x1=12
12x2=24
12x3=36
12x4=48
12x5=60 (:
solve the following exercise
8ab -3ab
Answer:
5ab
Step-by-step explanation:
8-3=5 just like 8ab-3ab=5ab
Real-life Problems Question 6
The amount of money that Theresa has left is equal to £2,740.
How to write a linear equation to model this situation?In order to write a linear equation to describe this situation, we would assign variables to the cost of flights for each of them and the cost of accommodation for each of them respectively, and then translate the word problem into a linear equation as follows:
Let the variable a represent cost of flights for each of them.
Let the variable f represent cost of accommodation for each of them.
Since Theresa paid for herself and 11 friends to go on holiday with a flight cost of £339 and accommodation cost of £266, a linear equation to describe this situation is given by;
y = 12(a + b)
y = 12(266 + 339)
y = £7,260
For the amount of money left, we have:
Amount of money left = £10,000 - £7,260
Amount of money left = £2,740.
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Does anyone know the answers to the graded activities on plato?
Answer:
Explanation
There are some activities in Courseware content that report scores and some that just report mastery and/or completion status.
Resolution
Dynamic vs. Non-dynamic mastery tests
Mastery tests give mastery status if the score is 80% or higher, but not all tests report a score. There are two types of mastery tests in Courseware content:
Non-dynamic tests: Those that do report a score, such as those in the Writing Process and Practice titles, in the Grammar and Mechanics modules, give the same number of questions each time; these are non-dynamic tests. For example, Splitting Fused Run-ons: Mastery Test presents ten questions. Even if the Learner answers the first three questions incorrectly and is, at that point, no longer able to answer eight correctly to achieve mastery, the remaining seven questions are presented.
Dynamic tests: Mastery tests from some content titles, such as Essential Reading Skills, however, are dynamic, which means they adapt to the Learner's responses. These tests do not always give the maximum number of questions; instead, they will end sooner if 80% is either achieved or no longer achievable. These tests show mastery if 80% or better was achieved, but do not show a score. For example, in Essential Reading Skills, Pronouns: Mastery Test, the maximum number of questions presented is five; mastery requires four questions are answered correctly. The test will end early if the student answers the first four correctly or two incorrectly out of the first four. Mastery is still based on achieving 80% or better, but the score is not fully determined, so no score is reported, by design.
Step-by-step explanation:
Select the correct answer.
Which expression is equivalent to the given expression?
Bab
(606274
A. Bol
Св.
835
C.
CD
gბ17
4
Answer:
I think it's D but I am not sure.
The expression that is equivalent to the given expression is 6a/b⁷
To simplify the expression, let's start by dealing with the exponent (a⁰b²)⁴. Any number raised to the power of 0 is always 1, so
=> a⁰ =1.
Therefore, the expression becomes
=> (1 * b²)⁴ = (b²)⁴.
Next, we apply the property of exponents, which states that when raising an exponent to another exponent, we multiply the exponents. In this case,
=> (b²)⁴ =b²ˣ⁴ = b⁸.
Now, the simplified expression becomes
=> 6ab / b⁸ = 6a/b⁷
Hence the correct option is (c)
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Jaylen's bed is six feet long and his desk is three feet long. He wants to leave a two-foot space between his bed and desk. If there are 125 inches available along the wall, is there enough room for Jaylen to fit his bed and desk? Justify your reasoning using words, numbers, or pictures.
Answer: Not possible
Step-by-step explanation:
Given
The length of Jaylen's bed is \(6\ ft\approx 72\ in.\)
The length of his desk is \(3\ ft\approx 36\ in.\)
The total length along the wall is \(125\ in.\)
Jaylen wants \(2\ ft \approx 24\ in.\) gap between bed and desk
the combined length of bed and desk is
\(\Rightarrow 72+36=108\ in.\)
The remaining length after placing the bed and desk is
\(\Rightarrow 125-108=17\ in.\)
As the remaining length is less than the required length
Therefore, it is not possible to leave a gap of two-foot between the bed and desk