The following parts can be solved by the concept of Area.
1. The area of the sprinkled lawn is 9π square feet, where π is approximately 3.14.
2. The area that the storm will affect is 113.1 square miles, where the value of π is approximately 3.14.
1. To find the area of the sprinkled lawn, we need to find the area covered by the sprinkler in one rotation and then multiply it by the number of rotations. The sprinkler sprays water 3 feet in every direction, so it covers a circular area with a radius of 3 feet. The area of a circle with a radius of 3 feet is given by the formula A = πr^2, where r is the radius of the circle.
Therefore, the area covered by the sprinkler in one rotation is 9π square feet (A = π x 3^2 = 9π). If the sprinkler rotates n times, then the total area covered by the sprinkler is n times the area covered in one rotation.
2. To find the area that the storm will affect, we need to find the area of the circle with a radius of 6 miles. The area of a circle is given by the formula A = πr^2, where r is the radius of the circle. Therefore, the area that the storm will affect is 36π square miles (A = π x 6^2 = 36π). To get a numerical value, we can use the approximation of π as 3.14, which gives us an area of approximately 113.1 square miles (A = 3.14 x 36 = 113.1).
Thus, the storm will affect an area of approximately 113.1 square miles.
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Write 7/18 as a decimal number. Round to two decimal places.
0.38 is 7/18 (filling space)
Answer:
0.388888889
Step-by-step explanation:
The velocity time graph for a cycle is shown
Answer:
a) distance = 0.5m
b) acceleration = -1.25m/s²
Step-by-step explanation:
v = d/t
d = vt
d = 10/20
= 0.5
a = v/t
= -10/8
= -1.25
a is negative because in the last 8s the care decelerate
At a wedding there were 40 people from gromms side and 56 people from bride's family at the wedding
find the ratio of the groom's family to the bride's family at the wedding
Answer:
5 : 7
Step-by-step explanation:
groom's side: 40
bride's side: 56
ratio groom to bride = 40/56 = 20/28 = 10/14 = 5/7
Answer: 5 : 7
Consider the following approach to shuffling a deck of n cards. Starting with any initial ordering of the cards, one of the numbers 1, 2, . . . , n is randomly chosen in such a manner that each one is equally likely to be selected. If number i is chosen, then we take the card that is in position i and put it on top of the deck—that is, we put that card in position 1. We then repeatedly perform the same operation. Show that, in the limit, the deck is perfectly shuffled in the sense that the resultant ordering is equally likely to be any of the n! possible orderings.
In the limit, the deck of cards will be perfectly shuffled, in the sense that any of the n! possible orderings are equally likely.
A deck of n cardsThe question is asking to show that, in the limit, a deck of n cards will be perfectly shuffled if each number from 1 to n is randomly chosen and the chosen card is placed in position 1. This can be shown as follows:
Let us denote the initial ordering of the deck of cards by P1, P2, ..., Pn. Suppose the first card chosen is Pi, and thus it is put in position 1. Now the ordering is Pi, P1, ..., Pn.
Suppose the next card chosen is Pj. Thus the ordering is now Pj, Pi, P1, ..., Pn. By repeating this process, the ordering of the deck is changing.
As each of the numbers 1, 2, ..., n is equally likely to be chosen, the probability of any particular ordering is the same. This means that, in the limit, the deck of cards will be perfectly shuffled, in the sense that any of the n! possible orderings are equally likely.
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Simplify the expression
Answer:
\(2*2^1^/^4\)
(≈2.378)
Step-by-step explanation:
we know that:
\(a^x*a^y=a^x^+^y\)
[this is the same as multiplying any exponents]
3/4 + 1/2 = 1 + 1/4
if [\(a^x*a^y=a^x^+^y\)], then [\(a^x^+^y=a^x*a^y\)] must also be true
so,
\(2^1^+^1^/^4=2^1*2^1^/^4\\\)
= \(2*2^1^/^4\)
(\(2^1^/^4 = 1.189207115\))
1.189207115 · 2 = 2.37841423001
(rounded to 2.378)
Answer:
\(2*2^1^/^4\)
(2.37841)
Explanation:
3/4 + 1/2 = 1 + 1/4
= \(2*2^1^/^4\)
(\(2^1^/^4 = 1.189207115\))
(2)(1.189207115) = 2.37841423001
Lana had 475 Pokemon cards. She gave her little brother 125 of her cards. What percentage of her cards did Lana give away?
So, Lana gave away 26.32% of he Pokemon cards to her little brother.
To find the percentage of cards Lana gave away, we can use the formula:(Quantity given away / Total quantity) * 100.
In this case, Lana gave away 125 cards out of her total collection of 475 cards.Plugging these values into the formula, we have:
(125 / 475) * 100 = 0.2632 * 100 = 26.32%.
Lana gave away 26.32% of her Pokemon cards to her little brother.
Alternatively, we can calculate the percentage by subtracting the remaining cards from the total and finding the ratio:
Percentage given away
= (Cards given away / Total cards) * 100
= (125 / 475) * 100
= 26.32%.
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The parent council is in charge of making lemonade for field day.They purchased 19 bags of lemon.each bag has 24 lemons.The recipe says that a gallon of lemonade will require 8 lemons.they will be able to pour 12 cups of lemonade from each gallon that they make.How many cups of lemonade will the parent council be able to serve?
Answer:
684
Step-by-step explanation:
19 x 24 = 456
456 divided by 8 = 57
57 x 12 = 684
It was 47 degrees when Tanya got out of bed this morning. If the temperature rose 18 degrees by lunchtime, what temperature was it then?
Answer: 65˚
Add 47 and 18 to get the temperature by lunchtime
Solve for x: one fifth times the quantity 5 times x plus 10 end quantity plus 5 times x is greater than 32
a
x is less than eleven thirds
b
x is greater than eleven thirds
c
x < 5
d
x > 5
x is greater than eleven thirds.
How to solve inequality?Inequality are expression that have <, > , ≤ and ≥ .
Therefore,
1 / 5 (5x) + 10 + 5x > 32
Hence,
1 / 5 × 5x + 10 + 5x > 32
x + 10 + 5x >32
combine like terms
x + 10 + 5x >32
x + 5x + 10 > 32
Therefore,
x + 5x + 10 > 32
6x + 10 > 32
subtract 10 from both sides
6x + 10 - 10 > 32 - 10
6x > 22
divide both sides by 6
x > 22 / 6
x > 11 / 3
Therefore, x is greater than eleven thirds.
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#2 complete each proof using the properties of equality. Not all rows may be used.
SOLUTION
(2). We are given the equation
\(\frac{3j+k}{2}=15-4k\)And we want to prove that
\(\begin{gathered} j=10-3k \\ \end{gathered}\)This becomes
\(\text{Statement }\frac{3j+k}{2}=15-4k\)Reason: Given
\(\begin{gathered} \text{Multiplying 2 by both sides } \\ \text{Statement }\frac{3j+k}{2}\times2=(15-4k)2 \\ 3j+k=30-8k \end{gathered}\)Reason: Multiplication property of equality.
\(\begin{gathered} \text{Subtracting k from both sides } \\ \text{Statement } \\ 3j+k-k=30-8k-k \\ 3j=30-9k \end{gathered}\)Reason: Subtraction property.
\(\begin{gathered} \text{Dividing }both\text{ sides by 3} \\ \text{Statement } \\ \frac{3j}{3}=\frac{30-9k}{3} \\ j=\frac{3(10-3k)}{3}\text{ note that 3 cancels out} \\ j=10-3k \end{gathered}\)Reason: Division property of equality
Find the slope of the line that passes through the pair of points: (2,-3) and
(0,-2) *
1 point
Answer:
It would be -1/2
Step-by-step explanation:
-2--3/0-2=-1/2
NEED HELP IMMEDIATELY!
Simplify 10√2y + 5√2y + 3√2y.
A. 18√6y
B. 18√2y
C. 12√2y
D. 18√6y^3
(ANSWER IS NOT A)
18 root
2
Step-by-step explanation:
In this question imagine there is no y
It will be 10 root2 +5 root2 +3 root 2 it will be 18 root 2
the manager of a movie theater has determined that the distribution of customers arriving at the concession stand is poisson distributed with a standard deviation equal to 2 people per 10 minutes. what is the probability that 0 customers arrive during a 10-minute period?
The probability that 0 customers arrive during a 10-minute period is given as follows:
0.0183 = 1.83%.
How to obtain the probability?We are given the mean during a time interval, hence the Poisson distribution is used to obtain the probability in this problem.
The mass probability function for the Poisson distribution is given as follows:
\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)
The parameters are given as follows:
x is the number of successes that we want to find the probability of.e = 2.71828 is the Euler number\(\mu\) is the mean in the given interval or range of values of the input parameter.The standard deviation for the Poisson distribution is the square root of the mean, hence the mean is calculated as follows:
\(\mu = 2^2 = 4\)
Then the probability that 0 customers arrive during a 10-minute period is calculated as follows:
P(X = 0) = e^(-4) = 0.0183 = 1.83%.
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Can y’all please help me I only have one attempt?
C
C is the answer. It is the only one that gives y when you input x.
Answer:
Your answer is C :)
Y = 3^x + 2.
You just substitute this into any of the functions. If you need more clarification I can help :)
Please don’t answer just for points! Help is really needed~
i dont understand
what do we need to do?
I will mark brainliest! Plz I need an answer
Answer:
Yes, a good way to tell is if I multiply 1 by 5 it will make 5, 2 by 5 makes 10 and so on.
Step-by-step explanation:
Answer:
Mandy is wrong.
Step-by-step explanation:
She is wrong!
...because based on the table this is a proportional relationship since those are equivalent fractions 5/1=10/2=25/5=50/10.
Equivalent fractions equal the same value.
5/1 = 5, 10/2 = 5, 25/5 = 5, 50/10= 5
Mandy had the wrong conclusion because she wrote the relation wrong.
y/x = 5/1 = 10/2 = 25/5 ≠ 10/50
Emma ran 30 blocks in 1/4 of an hour. What is her running rate in blocks per hour? ______ blocks per hour
Answer:
88 because she/he got injured
Evaluate f(x) = 1/3x for x = 4
1/12
1 1/3
3/4
-12
so f(4) = 1/12 of f(x) = 1/3x for x = 4 In order to make the equation's equality true, the unknown variables must be given values as a solution.
what is solution ?In other terms, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transform the equation into an equality.
calculation
Just enter 4 as the value for x in the function.
f(4) = 1/3 * 4
f(4) = 1/12
so f(4) = 1/12 of f(x) = 1/3x for x = 4 In order to make the equation's equality true, the unknown variables must be given values as a solution.
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33 m
44 m
What is the length of the hypotenuse?
C=
meters
Answer:
3
Step-by-step explanation:
Use the reverse form of the pythagorean theorem.
c^2 - b^2 = a^2
25 - 16 = 9
square root of 9 is 3
HELP HELP HELP HELP HELP HELP
We would expect to see around 200 fewer accidents per year among 16-year-old drivers in your state if the proposal to increase the permit period from 6 to 12 months is implemented.
What is an estimation?Estimation is the process of determining an estimate or approximation, which is a value that can be used for a specific purpose even when the input data is incomplete, uncertain, or unstable.
It is difficult to predict exactly how many fewer accidents would occur as a result of increasing the time a driver must hold a learner's permit from 6 to 12 months. However, there is evidence to suggest that longer permit periods can result in fewer accidents, as novice drivers have more time to gain experience under supervision before obtaining a full license.
According to research by the Insurance Institute for Highway Safety, increasing the permit period from 6 to 12 months could lead to a 20% reduction in crash rates among 16-year-old drivers.
Assuming this reduction holds true in your state, we can estimate the number of accidents that would be prevented by multiplying the current number of accidents involving 16-year-old drivers (let's assume 1,000 per year) by 20%, or 0.2. This gives us an estimated reduction of 200 accidents per year.
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Monica is making a scale drawing of her
bedroom. The scale drawing of her room is 7.4
inches long and 5 inches wide. If her actual
bedroom is 18.75 feet long, how wide is the actual
room?
Answer:
approximately 12.67 feet (not sure about this)
Step-by-step explanation:
We know that Monica's scale drawing of her room is 7.4 inches long and 5 inches wide. Let's call the width of her actual bedroom "w".
To find the width of the actual room, we need to set up a proportion using the scale factor:
scale factor = length on drawing / actual length
Since we know the length on the drawing is 7.4 inches and the actual length is 18.75 feet, we can set up the following proportion:
7.4 inches / 18.75 feet = 5 inches / w
To solve for w, we can cross-multiply:
7.4 inches * w = 18.75 feet * 5 inches
Simplifying:
7.4w = 93.75
Dividing both sides by 7.4:
w = 12.67 feet
Therefore, the width of Monica's actual bedroom is approximately 12.67 feet.
A $5600 deposit for 45 years at a simple interest rate of 3%
Answer:
13,160
Step-by-step explanation:
\(si \: = \frac{pnr}{100} \)
P = principle amount
n = no.of years
r = rate(%)
\( = \frac{5600 \times 45 \times 3}{100} \)
= 56 × 45× 3
= 7560
The final answer is 5600 + 7560 = 13160
pls like and mark as brainliest if it helped!
Write a proportion to solve this problem When planning for their wedding reception Joey and Sarah were told that Riverside Gallery would charge $550 use their function room the guests they planned on inviting . They have since changed their plans and expect to invite 107 guests. How much should they plan to pay for the function room ?
Answer:
or word problems 16-21: 1) Declare a variable 2) Write an equation 3) Solve. ... planning for their wedding reception Joey and Sarah were told that Riverside Gallery would charge $550 to use their function room for the 60 guests they planned on inviting.
Step-by-step explanation:
What is one way to simplify variables with many, many levels (or decimal places) when creating a frequency distribution?A. Ignore outliers B. Organize data into class intervals C. Graph each level of the variable individually D. Compute a mean, median, and mode
One way to simplify variables with many levels (or decimal places) when creating a frequency distribution is to organize the data into class intervals (option B).
By grouping the data into intervals, the frequency distribution becomes more manageable and easier to interpret. This process involves dividing the range of values into distinct intervals or categories and then counting the number of observations falling within each interval. Class intervals provide a summary of the data by grouping similar values together, reducing the complexity of individual levels or decimal places.
This simplification technique is particularly useful when dealing with large datasets or continuous variables that have numerous levels or decimal values, allowing for a clearer representation and analysis of the data.
Option B holds true.
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The t and the P-value seems to be incorrect for some reasons. I
do not understand why.
When t and p-values seem incorrect, it may be due to different reasons. In most cases, it is either the data or the statistical software that is being used that is incorrect. It is important to double-check the data and the statistical software in order to understand the reason why the t and P-values seem incorrect.
There are different reasons why the t and P-values may seem incorrect. The following are some of the reasons why the t and P-values may seem incorrect:1. Wrong data entry:Incorrect data entry could result in wrong t and P-values. This means that if data is incorrectly entered, the t and P-values will be incorrect. It is important to check the data for accuracy before conducting any analysis.2. The presence of outliers:If there are outliers in the data, they can affect the results of the analysis, including the t and P-values. In this case, it is important to examine the data for outliers and remove them if necessary.
Inappropriate statistical software:Using inappropriate statistical software can also lead to incorrect t and P-values. If the software used does not correspond to the type of data being analyzed, the results may be incorrect.4. Small sample size:With a small sample size, the t-value and P-value may not accurately reflect the true nature of the data. In this case, a larger sample size is required.5. Violation of statistical assumptions:When statistical assumptions are violated, the t and P-values may seem incorrect.
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What is the surface area of this cone round to the nearest hundreth
Given:
Diameter of cone = 4 mm
Slant height (l) = 7 mm
Find-: Surface area of the cone.
Sol:
The surface area of a cone is:
\(A=\pi r(r+\sqrt{r^2+h^2})\)Where,
\(\begin{gathered} r(\text{ radius\rparen}=\frac{\text{ Diameter}}{2} \\ \\ h=\text{ Height} \end{gathered}\)Height of cone:
\(\begin{gathered} l^2=r^2+h^2 \\ \\ h^2=l^2-r^2 \\ \\ h^2=7^2-2^2 \\ \\ h^2=49-4 \\ \\ h=\sqrt{45} \end{gathered}\)So, the surface area of a cone is:
\(\begin{gathered} A=\pi r(r+\sqrt{r^2+h^2}) \\ \\ A=\pi(2)(2+\sqrt{2^2+45}) \\ \\ A=2\pi(2+\sqrt{49}) \\ \\ A=2\pi(9) \\ \\ A=18\pi \\ \\ A=18\times3.14 \\ \\ A=56.52 \end{gathered}\)So, the surface area of a cone is 56.52
Ranjan is driving to Salt Lake City. His car gets 35. 5 miles per gallon of gasoline. Ranjan starts with his tank full. So far he has made two stops. Each time he stops, ranjan adds gas until his car is full again. At the first stop ranjan adds 6. 7 gallons of gas. At he second stop he adds 3. 4 gallons of gas. How many miles has ranjas drivin so far
After calculating the distance, Ranjan has driven 358.55 miles so far.
To solve this problem, we need to use the formula:
distance = fuel efficiency x fuel consumed
Let's start by calculating the total fuel consumed. At the first stop, Ranjan adds 6.7 gallons of gas, which means he consumed 6.7 gallons of gas since his tank was full at the beginning of the trip. At the second stop, he adds 3.4 gallons of gas, which means he consumed 3.4 gallons of gas between the first and second stops. Therefore, the total fuel consumed is:
6.7 + 3.4 = 10.1 gallons
Now we can calculate the distance driven using the fuel efficiency of 35.5 miles per gallon:
distance = 35.5 miles/gallon x 10.1 gallons = 358.55 miles
Therefore, Ranjan has driven 358.55 miles so far.
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Which of the following could be an example of a function with a domain
(-∞0,00) and a range (-∞,4)? Check all that apply.
A. V = -(0.25)* - 4
-
□ B. V = − (0.25)*+4
c. V = (3)* +4
□ D. V = − (3)* — 4
-
The correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are given below.Option A. V = -(0.25)x - 4 Option B. V = − (0.25)x+4
A function can be defined as a special relation where each input has exactly one output. The set of values that a function takes as input is known as the domain of the function. The set of all output values that are obtained by evaluating a function is known as the range of the function.
From the given options, only option A and option B are the functions that satisfy the condition.Both of the options are linear equations and graph of linear equation is always a straight line. By solving both of the given options, we will get the range as (-∞, 4) and domain as (-∞, 0).Hence, the correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are option A and option B.
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Carol, an avid hiker, typically loses 2 pounds of weight during a 3-hour hike. She always brings a Camelbak hydration pack with her, drinking 50 ounces during her hikes. How much should Carol be drinking per hour to meet her total fluid needs
The amount of water Carol should be drinking per hour to meet her total fluid needs is 16.67 ounces.
How many fluids should Carol drink hourly?Division is a mathematical operations that groups a number into equal parts using another number. The sign used to denote division is ÷.
Water to be drank per hour = total water drank / hours of hike
50 / 3 = 16.67 ounces
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The Quick Ship company uses the function C(w) to calculate the cost in dollars, C, for shipping an item
weighing w ounces.
5 0.450 if 0
C(w) =
0.35W + 1.6 if w > 16
Which statement about the shipping rate is true?
Shipping at the second rate will always cost $1.60 more than shipping
at the first rate.
If the weight is greater than 16 ounces, the shipping rate is $0.35 per
ounce, plus $1.60.
It is possible that an item weighing less than 16 ounces could cost the
same as an item weighing more than 16 ounces.
-
x
To find the charge for shipping a package weighing more than
16 ounces multiply the weight by $0.35.
+
Answer:
A: Shipping at the second rate will always cost 1.60 more than shipping at the first rate.
Step-by-step explanation:
The following points for the function C(w) can be concluded as
The function C(w) is valid only for {w} greater than 16 ounces.The initial cost is $1.6.The cost of shipping per ounce is $0.35.What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that the Quick Ship company uses the function C(w) to calculate the cost in dollars {C} for shipping an item weighing {w} ounces as
C(w) = 0.35W + 1.6 if {w > 16}
The given function is -
C(w) = 0.35w + 1.6 if {w > 16}
We can conclude the following points for the function C(w) -
The function C(w) is valid only for {w} greater than 16 ounces.The initial cost is $1.6.The cost of shipping per ounce is $0.35.Therefore, the following points for the function C(w) can be concluded as
The function C(w) is valid only for {w} greater than 16 ounces.The initial cost is $1.6.The cost of shipping per ounce is $0.35.To solve more questions on algebraic expressions, visit the link below -
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