The approximate area that is watered by the sprinkler, we need to use the formula for the area of a circle, which is A = πr^2, where A is the area, π is a constant equal to approximately 3.14, and r is the radius of the circle.
In this case, we are given that the distance from the sprinkler to the outer edge of the circle is 2.5 m, which is the radius of the circle. Therefore, we can substitute this value into the formula and get:
A = \(3.14 x 2.5^2\)
A =\(19.625 m^2\)
So, the approximate area that is watered by the sprinkler is 19.625 square meters. This means that any plants, grass or other vegetation within this area will receive water from the sprinkler.
It is important to note that this is only an approximation since the shape of the watered area may not be a perfect circle and the sprinkler may not spray water evenly in all directions.
Additionally, the amount of water sprayed by the sprinkler and the time it takes to water the area will also affect the actual amount of water received by the plants.
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Can you tell me how to solve for X
Answer:
answer is D)10
Step-by-step explanation:
there's a square in the corner, and that tells you this angle is a right angle which is 90degrees
so 90-60=3x
30=3x
x=10
Answer:
A. 30
x=30
Step-by-step explanation:
That is a 90 degree angle. 90-60=30
Please help me I really need it
The value of BC is 1.4
What is trigonometric ratio?Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.
Trigonometric ratio is mostly used in right triangle. Here are some of the function
sinθ = opp/hyp
cosθ = adj/hyp
tanθ = opp/adj
In the triangle, taking angle 35 as reference point, AC is the adjascent and BC is the opposite to the angle.
Therefore;
represent BC by x
Tan 35 = x/2
x = tan35 × 2
x = 1.4
Therefore the value of BC is 1.4
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Write an equation of a line that passes through the point (1, -2) and is parallel to the line y = x - 5.
Answer:
y = x - 3
Step-by-step explanation:
y - y1 = m( x - x1 )
y - (-2) = 1 (x - 1)
y + 2 = x - 1
y = x - 3
Pls help meee I’m stuck and no one will helppp
Answer:
x = 46
Step-by-step explanation:
Hello there!
The following angles are corresponding angles
One of the properties of corresponding anlges is that they are congruent
That being said we can use this equation to solve for x
2x + 4 = 4x - 88
step 1 subtract 2x from each side
2x -2x cancels out
4x - 2x = 2x
now we have
4 = 2x - 88
step 2 add 88 to each side
-88 + 88 cancels out
4 + 88 = 92
now we have 92 = 2x
step 3 divide each side by 2
92 / 2 = 46
2x/2= x
we're left with x = 46
Becky is shipping 5 boxes that all weigh the same, and 1 enevelope that weighs 7.5
pounds. The total weight of the shipment is 65 pounds. what is the weight in pounds of
each box?
OA. 5.5
OB. 11.5
O C. 14.5
O D. 20.5
K
Each box weighs 11.5 pounds. The answer is option B.
What is Pound?Pound is a unit of measurement of mass or weight commonly used in the United States and some other countries, abbreviated as "lb".
According to question:To solve the problem, we need to use some basic algebraic equations. Let x be the weight of each box in pounds. Then, we can set up the following equation:
5x + 7.5 = 65
Simplifying this equation, we get:
5x = 57.5
Dividing both sides by 5, we get:
x = 11.5
Therefore, each box weighs 11.5 pounds. The answer is option B.
Pound is a unit of measurement of mass or weight commonly used in the United States and some other countries, abbreviated as "lb". One pound is equal to 16 ounces, and approximately 0.45 kilograms. It is commonly used to measure the weight of objects, such as people, animals, and goods.
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a cereal manufacturer makes boxes of cereal that comes in two different sizes. The smaller size is shown. The larger box is made by multiplying the width of the smaller box by 2. How much cereal can fit in the larger box
According to the statement of the question, the width of the larger box equals 2 times the width of the box shown, then the width of the larger box equals 10 cm (2×5), the rest of the dimensions of the box remain the same.
We have to calculate how much cereal can fit in the larger box, that is the internal volume of the box (the space inside the box where we can fit the cereal), the volume of a box is given by the following formula:
\(V=w\times l\times h\)In this case, w equals 10 cm, l equals 30 cm and h equals 40 cm, then we get:
\(V=10\times30\times40=12000\)Then, we can fit 12000 cubic centimeters of cereal inside the larger box
HELP GIVING BRAINLIEST Carlene is selling T-shirts for a fundraiser. The T-shirts cost $20.50 each. To date, she has raised $900. Her goal is to raise more than $9,100. How many more T-shirts, x, does Carlene need to sell to reach her goal?
Select the number line that includes the fewest number of T-shirts Carlene can sell and still meet her goal.
FYI:
Sorry, I can't answer your second question because I can't see any number-lines in your question. But yes, I can answer the first one.
Answer:
400 T-Shirts
Step-by-step explanation:
If each T-Shirt is $20.50, that means that Carlene has to sell lots of them in order to earn the amount of money she wants. So, to find how many T-Shirts she needs to sell in order to get $9,100, we have first remove $900 dollars from the $9,100, because she ALREADY earned it!
9,100-900=8,200
Now we have to divide $8,200 by $20.50. like this...
8,200÷20.50=400
Now, that's our answer. 400.
Carlene has to sell 400 more T-Shirts in order to earn to her goal!
Thank You! Please mark me brainliest so that I can get encouraged to make more great answers like this one!
On the last 4 math assignments, Andrew scored the following:
88, 92, 100, 75
What is the median?
Answer:
median is 90
Step-by-step explanation:
75, 88, 92, 100
(88+92)/2 = 90
it is known that the trout in carter lake back in 1990 had an average weight of 5 pounds with a standard deviation of 1.4 pounds. it is wondered if the average has increased since 1990. assume the distribution is normal, and that the standard deviation has not changed. a new sample of 25 fish is taken, and the average was 5.672 the following hypothesis was done:
B. compare his z-score in each event. c. compare his speed in each event. d. compare his pace in each event. questions 9-10 refer to the following situation: during a model railroad operating session, a model railroader must use the engine she is operating to move a pair of model cars through a series of track switches. her pair of cars consists of a boxcar and a flatcar. she knows that as the cars pass through the switches the boxcar has a 90% chance of getting through without derailing and the flatcar has an 80% chance of getting through without derailing. she also knows that whether either car derails or not is independent of the other car. 9. what is the probability that the flatcar derails? a. 10% b. 20% c. 28% d. 72% 10. what is the probability that both the boxcar and the flatcar get through without derailing? d. 72% c. 28% a. 10% b. 20%
To find the probability that the flatcar derails, we need to subtract the probability of it not derailing from 1. Since the flatcar has an 80% chance of getting through without derailing.
Therefore, the answer is b. 20%.
What is the probability that both the boxcar and the flatcar get through without derailing
Since the events of the boxcar and the flatcar derailing are independent, we can multiply their probabilities together.
The boxcar has a 90% chance of getting through without derailing (0.9) and the flatcar has an 80% chance (0.8), so the probability that both get through without derailing is
0.9 * 0.8 = 0.72 or 72%.
Therefore, the answer is d. 72%.
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The length of the parallel sides of a trapezoid are 15 m and 25 m. If the perpendicular distance between the parallel sides is 10 m, what is the area of the trapezoid?
Answer:
Area of trapezoid = 200 m²
Step-by-step explanation:
Parallel side1 a= 15m
Parallel side2 b= 25m
Perpendicular distance h = 10 m
We need to find area of the trapezoid.
The formula used to find area of the trapezoid is: \(Area \ of \ trapezoid=\frac{a+b}{2}h\)
Putting values and finding area of the trapezoid:
\(Area \ of \ trapezoid=\frac{a+b}{2}h\\Area \ of \ trapezoid=\frac{15+25}{2}\times 10\\Area \ of \ trapezoid=40\times5\\Area \ of \ trapezoid=200 \ m^2\)
So, area of trapezoid = 200 m²
write the decimal as fraction or a mixed number in simplest form 4.4
Answer:
4 1/4 i think
Step-by-step explanation:
4.4*10/1*10
=44/10
= 22/5
= 2 ²/5
prove that for every positive integer n, there are n consecutive composite integers. [hint: consider the n consecutive integers starting with (n 1)! 2.]
It is proved that, for every positive integer n, there are n consecutive composite integers.
Given statement,
For every positive integer n, there are n consecutive composite integers.
Proof:
Assume that m is less than n and that both m and n are positive integers. When m is less than n,
n! = 1 ⋅ 2 ⋅ 3 ⋅ ⋅ ⋅ m ⋅ ⋅ ⋅ n,
which is to say that m is a factor of n!
So,
m + n! = m + ( 1 ⋅ 2 ⋅ 3 ⋅ ⋅ ⋅ m ⋅ ⋅ ⋅ n )
= m ((1 ⋅ 2 ⋅ 3 ⋅ ⋅ ⋅ m ⋅ ⋅ ⋅ n) / m + 1)
Since m is a multiple of n!, n!/m is still an integer. Since the integer m is bounded between 1 and n, it follows that any number you choose up to n can divide m + n!, making it composite until the nth integer.
However, since n! contains the nth integer, the nth integer is also composite, meaning you can choose any integer between 1 and n inclusively and it will be composite.
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fill in the blank. _____sample
The population is first split into groups. The overall sample consists of every member from some of the groups. The groups are selected at random.
Example—An airline company wants to survey its customers one day, so they randomly select 555 flights that day and survey every passenger on those flights.
Why it's good: A cluster sample gets every member from some of the groups, so it's good when each group reflects the population as a whole.
it is important to consider the potential for intra-cluster similarity, as individuals within the same cluster may be more similar to each other than to individuals in other clusters.
What is intra-cluster sample?A cluster sample is a sampling technique where the population is divided into clusters or groups, and a subset of clusters is selected at random to form the overall sample. In this type of sampling, all members of the selected clusters are included in the sample.
In the given example, the airline company selects 555 flights as clusters and surveys every passenger on those flights. Each flight represents a cluster, and by selecting random flights, the company includes every passenger on those selected flights in the survey.
This cluster sampling approach is suitable when each group or cluster is representative of the overall population. It is useful when it is impractical or costly to sample every individual unit within the population, but the selected clusters are expected to reflect the characteristics of the entire population.
Cluster sampling allows for more practical data collection, particularly when dealing with large populations or geographically dispersed units. However, it is important to consider the potential for intra-cluster similarity, as individuals within the same cluster may be more similar to each other than to individuals in other clusters.
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Find the measure of the exterior angle.
(t + 10)
(t + 20°
What is the measure of the exterior angle?
Answer:
110
Step-by-step explanation:
Sum of all angles = 180
t + t + 10 + t +20 = 180
3t + 30 = 180
Subtract 30 from both sides
3t = 180 - 30
3t = 150
Divide both sides by 3
t = 150/3
t = 50
Exterior angles equals sum of opposite interior angles.
Exterior angle = t + t +10
= 50 + 50 + 10
= 110
Answer:
110 degrees.
Step-by-step explanation:
t + t + 10 + t + 20 = 180 ( angles in a triangle sum to 180)
3t + 30 = 180
3t = 150
t = 50
So the exterior angle = t + t + 10 (exterior angle theorem).
= 50 + 50 + 10
= 110 degrees.
David estimated that the band fundraiser would make $492.
The fundraiser actually made $600. What was the percent
error of David's estimate?
Answer:
18%
Step-by-step explanation:
if i am right
it would be subtract 492- 600 = -108
make this a positive value so 108
and divide it by the actual made amount
108/600 which would be 0.18 multiply this by 100 and you have 18% !!
this is what i remember doing!
let me know if it helped
what is 12x12+3405-345+78-3?
Brainliest
Answer:
Dont know thanks me!!!
Step-by-step explanation:
Answer:
3279
Step-by-step explanation:
math
f(x)=2x^2-5x-3 g(x)=2x^2+5x+2 find (f/g)(x)
If f(x)=2x²-5x-3 g(x)=2x²+5x+2 then (f/g)(x) = (x - 3) / (x + 2).
What is function?
In mathematics, a function is a relationship between two sets of elements, called the domain and the range, such that each element in the domain is associated with a unique element in the range.
To find (f/g)(x), we need to divide f(x) by g(x) as follows:
f(x) = 2x² - 5x - 3
g(x) = 2x² + 5x + 2
f(x) / g(x) = (2x² - 5x - 3) / (2x² + 5x + 2)
To simplify this expression, we can factor the numerator and denominator:
f(x) / g(x) = [(2x + 1)(x - 3)] / [(2x + 1)(x + 2)]
Now, we can cancel out the common factor of (2x + 1) from both the numerator and denominator:
f(x) / g(x) = (x - 3) / (x + 2)
Therefore, (f/g)(x) = (x - 3) / (x + 2).
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x^2+4x-7=0
give answer to 2 decimal places
Answer:
Step-by-step explanation:
NEED ANSWER FAST! PLS HELP!
In an arithmetic sequence, the 4th term is 18 and the 5th term is 22. What is the first term?
Answer:
HI MATE,
Step-by-step explanation:
THE ANSWER IS 6
define the sequence {hn} as follows: h0 = 5/3 h1 = 11/3 hn = 3hn-1 4hn-2 6n, for n ≥ 2 prove that for n ≥ 0,
The sequence {hn} defined as h0 = 5/3, h1 = 11/3, hn = 3hn-1 - 4hn-2 + 6n satisfies the given recurrence relation.
To prove that for all n ≥ 0, the sequence {hn} defined as h0 = 5/3, h1 = 11/3, hn = 3hn-1 - 4hn-2 + 6n satisfies the given recurrence relation, we can use mathematical induction.
Base case:
For n = 0, we have h0 = 5/3 which is equal to the given initial value.
For n = 1, we have h1 = 11/3 which is also equal to the given initial value.
Inductive step:
Assume that the recurrence relation holds for some k ≥ 1, i.e., hk = 3hk-1 - 4hk-2 + 6k.
We want to show that it also holds for k+1, i.e., h(k+1) = 3h(k+1)-1 - 4h(k+1)-2 + 6(k+1).
Using the recurrence relation for hk, we have:
hk+1 = 3hk - 4hk-1 + 6k+3 (by substituting k+1 for n in the given recurrence relation)
Similarly, we have:
hk = 3hk-1 - 4hk-2 + 6k (by assumption)
hk-1 = 3hk-2 - 4hk-3 + 6(k-1) (by assumption)
Substituting these values into the expression for hk+1, we get:
hk+1 = 3(3hk-1 - 4hk-2 + 6k) - 4(3hk-2 - 4hk-3 + 6(k-1)) + 6(k+1)
Simplifying the expression, we get:
hk+1 = 9hk-1 - 12hk-2 + 18k - 12hk-2 + 16hk-3 - 24(k-1) + 6(k+1)
hk+1 = 9hk-1 + 4hk-3 - 12hk-2 - 6(k-1) + 6(k+1)
hk+1 = 3(3hk-1 - 4hk-2 + 6k+1) - 4(3hk-2 - 4hk-3 + 6k) + 6(k+1)
hk+1 = 3h(k+1)-1 - 4h(k+1)-2 + 6(k+1)
This shows that the recurrence relation holds for all n ≥ 0 by mathematical induction, and hence the sequence {hn} defined as h0 = 5/3, h1 = 11/3, hn = 3hn-1 - 4hn-2 + 6n satisfies the given recurrence relation.
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A lottery ticket on which the odds of winning are 1 in 1 million is given to every person in attendance at a college football game. The most likely result is that there will be
a. no winners in the stadium.
b. one winner in the stadium.
c. many winners in the stadium.
Answer:
The most likely result is that there will be no winners in the stadium.
Step-by-step explanation:
The odds of winning are 1 in 1 million, which means that there is a 99.9999% chance that any given person will not win. If there are 100,000 people in attendance at the game, then the expected number of winners is 0.1.
HELLPPPP MEEEEEEEEE!!!!!!!!!!!!!
Answer:
4/6
Step-by-step explanation:
i need help with this question please
Answer:
its cruked i dont see it
Step-by-step explanation:
Nolan has a lot of tennis balls in his garage he has 4 green tennis balls only 5 percent of his tennis ball are green how many does does he have altogether
Answer:
2
Step-by-step explanation:
4 green balls
5%
would equal 2
begin{tabular}{|r|l|r|r|} \hline 3 & Below are your numerical inputs for the problem: \\ \hline 4 & Initial Cost (\$) & 390000 \\ \hline 5 & Year 1 Revenues (\$) & 192000 \\ \hline 6 & Year 1 Costs (\$) & 125000 \\ \hline 7 & Inflation & 2.75% \\ \hline 8 & Project Duration (years) & 6 \\ \hline 9 & Depreciation Method & \\ \hline 10 & Tax Rate & \\ \hline 11 & Net Working Capital (\% oft+1 Revenues) & MACRS \\ \hline 12 & Salvage Value (\$) & 28.00% \\ \hline 13 & Cost of Capital & 15.00% & 245000 \\ \hline \end{tabular} How much are the year 1 operating cash flows (OCF)? How much is the depreciation expense in year 3 ? What is the change in Net Working Capital (NWC) in year 2? What is the net cash flow from salvage (aka, the after-tax salvage value, or ATSV)? What is the project's NPV? Would you recommend purchasing the ranch? Briefly explain.
Information is needed to evaluate the project's financial viability, considering factors such as the initial investment, expected cash flows, cost of capital, and project duration.
To calculate the year 1 operating cash flows (OCF), we need to subtract the year 1 costs from the year 1 revenues:
OCF = Year 1 Revenues - Year 1 Costs
OCF = $192,000 - $125,000
OCF = $67,000
To find the depreciation expense in year 3, we need to determine the depreciation method. The provided information is incomplete regarding the depreciation method, so we cannot calculate the depreciation expense in year 3 without knowing the specific method.
The change in Net Working Capital (NWC) in year 2 can be determined by multiplying the Net Working Capital percentage (given as a percentage of t+1 revenues) by the year 1 revenues and subtracting the result from the year 2 revenues:
Change in NWC = (Year 2 Revenues - Net Working Capital percentage * Year 1 Revenues) - Year 1 Revenues
Without the specific Net Working Capital percentage or Year 2 Revenues values, we cannot calculate the exact change in NWC in year 2.
The net cash flow from salvage (ATSV) is calculated by multiplying the Salvage Value percentage by the Initial Cost:
ATSV = Salvage Value percentage * Initial Cost
ATSV = 28% * $390,000
ATSV = $109,200
To calculate the project's NPV, we need the cash flows for each year, the cost of capital, and the project duration. Unfortunately, the information provided does not include the cash flows for each year, so we cannot calculate the project's NPV.
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The complete question is:
Below are your numerical inputs for the problem: 4 & Initial Cost (\$) & 390000 5 & Year 1 Revenues (\$) & 192000 6 & Year 1 Costs (\$) & 125000 7 & Inflation & 2.75% 8 & Project Duration (years) & 6 9 & Depreciation Method & 10 & Tax Rate & 11 & Net Working Capital (\% oft+1 Revenues) & MACRS 12 & Salvage Value (\$) & 28.00% 13 & Cost of Capital & 15.00% & 245000 How much are the year 1 operating cash flows (OCF)? How much is the depreciation expense in year 3 ? What is the change in Net Working Capital (NWC) in year 2? What is the net cash flow from salvage (aka, the after-tax salvage value, or ATSV)? What is the project's NPV? Would you recommend purchasing the ranch? Briefly explain.
Solve this. For 35 points.
The city of London, England, has an
elevation of 11 meters.
Which of these describes the elevation
of London?
below sea level
at sea level
above sea level
Answer:
above sea level
Step-by-step explanation:
Suppose that the SAT authors want the confidence interval to be no longer than 10 points. What is the minimum sample size they must use? Integer
The minimum sample size the SAT authors must use, assuming they want the confidence interval to be no longer than 10 points, is 196.
To calculate the minimum sample size, we can use the formula:
n = (Z * σ / E)^2
Where:
- n is the sample size
- Z is the z-value corresponding to the desired confidence level (99% in this case)
- σ is the population standard deviation
- E is the maximum desired margin of error (10 points in this case)
First, we need to find the z-value for a 99% confidence level. This corresponds to a two-tailed test, so the remaining 1% is divided equally between the two tails. Looking up the z-value from a standard normal distribution table, we find that Z ≈ 2.576.
Substituting the values into the formula:
n = (2.576 * 100 / 10)^2
n = 25.76^2
n ≈ 664.52
Since the sample size must be an integer, we round up to the nearest whole number to ensure the desired level of precision. Therefore, the minimum sample size required is 665.
Therefore, the minimum sample size the SAT authors must use, if they want the confidence interval to be no longer than 10 points, is **665**.
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Question: The College Board (The Non-Profit That Owns The SAT) Wants To Estimate The Difficulty Of A Draft Version Of The Math SAT Test. Difficulty Is Interpreted As The Population Mean Score. The College Board Administers The Test To 41 Randomly-Selected Students. The Mean Score In The Sample Is 534. Assume That Scores On The Math SAT Are Approximately Normally
The College Board (the non-profit that owns the SAT) wants to estimate the difficulty of a draft version of the math SAT test. Difficulty is interpreted as the population mean score. The College Board administers the test to 41 randomly-selected students. The mean score in the sample is 534. Assume that scores on the math SAT are approximately normally distributed, and that the population standard deviation is 100 points. Calculate the 99% confidence interval for the population mean score.
a.Suppose that the SAT authors want the confidence interval to be no longer than 10 points. What is the minimum sample size they must use? Integer
For a research project, students are asked to study how often students at an online high school look at social
media while doing schoolwork.
1. Sofie decides to develop a survey.
(a) Give an example of a question she could ask on her survey.
(b) How could Sofie select a simple random sample of students to take her survey?
(c) She gives out 80 surveys but receives only 32 completed surveys. What are the sample and
population for Sofie’s research?
(d) Of the 32 students who completed surveys, 16 said they use social media while doing schoolwork. If
Sofie uses only the completed surveys, what conclusion could she make about the percent of all high
school students who use social media while doing schoolwork?
(a) Example question: "How often do you look at social media while doing schoolwork?
(b) Sofie can select a simple random sample of students by using a random number generator to assign a unique identification number to each student in the online high school.
(c) The sample for Sofie's research is the 32 completed surveys she received. These surveys represent the responses of a subset of the population. The population, in this case, refers to all the students at the online high school.
(d) If Sofie uses only the completed surveys, she can conclude that approximately 50% (16 out of 32) of the students who completed the survey reported using social media while doing schoolwork.
(a) Please select one of the following options: never, rarely, occasionally, frequently, or always."
(b) She can then use the random number generator again to select a specific number of students from the entire population of students, ensuring that each student has an equal chance of being selected. For example, if there are 500 students in total and Sofie wants a sample size of 50, she can generate 50 random numbers and select the corresponding students based on their identification numbers.
(d) However, it is important to note that this conclusion is specific to the sample of completed surveys and cannot be generalized to the entire population of high school students.
To make an inference about the percent of all high school students who use social media while doing schoolwork, Sofie would need a larger and more representative sample that covers a wider range of students in the online high school.
Additionally, she should consider potential biases in the sample, such as non-response bias if the students who chose not to complete the survey have different social media usage patterns compared to those who did respond.
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