Answer:
X = 2.4
MN = 7
JL = 7.4
Step-by-step explanation:
What is happening to this graph?
Reason: The line goes downhill when moving to the right, and when we're between x = -1 and x = 1. You can think of it like a roller coaster.
Kevin graphed the inequality x > 1.
A number line going from negative 3 to positive 5. A closed circle is at 1. Everything to the right of the circle is shaded.
What mistake did Kevin make? Explain.
.
Answer:
Sample: Kevin should have used an open circle on 1, not a closed circle. The closed circle means that 1 is included in the solution set, but the inequality is x > 1, so 1 is not part of the solution.
Mistake done by Kelvin is he used closed circle at 1 where inequality x > 1 which excludes 1.
What is open and closed circles?
" Closed circle represents that the value is included in the given range while that of open circle represents given number is not included."
According to the question,
Graph of inequality x > 1 represents all values greater 1 excluding 1.
Number line represents -3 to 5.
A closed circle at 1 means 1 is included.
As per the condition of inequality x > 1 , 1 is excluded while in closed circle 1 is included both are contradictory conditions.
Hence, mistake done by Kelvin is he used closed circle at 1 where inequality x > 1 which excludes 1.
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Please answer Gcf of 0 and 60
I need points so I can solve my math, I have a 62 and need to save my grade I hope you get your answer, I'm so sorry....
in the equation t (78) = 1.03, p < .01, what does "p < .01" represent?
In the equation t(78) = 1.03, "p < .01" represents a statistical significance level or the probability of observing the obtained result due to chance alone.
In statistical hypothesis testing, the notation "p < .01" refers to the significance level or the probability threshold used to assess the statistical significance of a result.
In this case, it means that the obtained result, indicated by t(78) = 1.03, is statistically significant at a level of p < .01.
This implies that the likelihood of observing a result as extreme as or more extreme than the obtained result due to chance alone is less than 1%. In other words, the result is unlikely to occur by random variation alone and suggests that there may be a true effect or relationship in the population being studied.
The significance level helps researchers determine whether to accept or reject a null hypothesis based on the strength of evidence provided by the data.
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YALL HELP ME PLEASE ITS URGENT
f(x1, x2) 421 +222 3x² +213 5x11² (√₁+√₂)² 10ln(₁) (x₁+x₂)(x² + x3) min(3r1, 10√2) max{5x1,2r2} MP1(x1, x₂) MP2(X1, X₂) TRS(x1, x₂) Output (2,4)
The given mathematical expression is evaluated for the input values (2, 4). The result of the expression is calculated using various operations such as addition, multiplication, square root, natural logarithm, minimum, maximum, and function composition.
The expression f(x1, x2) involves several mathematical operations. Let's evaluate each part of the expression step by step:
1. The first term is 421 + 222, which equals 643.
2. The second term is 3x² + 213. Plugging in x1 = 2 and x2 = 4, we get 3(2)² + 213 = 3(4) + 213 = 12 + 213 = 225.
3. The third term is 5x11². Substituting x1 = 2 and x2 = 4, we have 5(2)(11)² = 5(2)(121) = 1210.
4. The fourth term is (√₁+√₂)². Replacing x1 = 2 and x2 = 4, we obtain (√2 + √4)² = (1 + 2)² = 3² = 9.
5. The fifth term is 10ln(₁). Plugging in x1 = 2, we have 10ln(2) = 10 * 0.69314718 ≈ 6.9314718.
6. The sixth term is (x₁+x₂)(x² + x3). Substituting x1 = 2 and x2 = 4, we get (2 + 4)(2² + 4³) = 6(4 + 64) = 6(68) = 408.
7. The seventh term is min(3r1, 10√2). As we don't have the value of r1, we cannot determine the minimum between 3r1 and 10√2.
8. The eighth term is max{5x1,2r2}. Since we don't know the value of r2, we cannot find the maximum between 5x1 and 2r2.
9. Finally, we have MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2), which are not defined or given.
Considering the given expression, the evaluated terms for the input values (2, 4) are as follows:
- 421 + 222 = 643
- 3x² + 213 = 225
- 5x11² = 1210
- (√₁+√₂)² = 9
- 10ln(₁) ≈ 6.9314718
- (x₁+x₂)(x² + x3) = 408
The terms involving min() and max() cannot be calculated without knowing the values of r1 and r2, respectively. Additionally, MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2) are not defined.
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Nicole is studying a two-way table. She has computed the relative frequencies by column for each cell. What characteristic of the data will imply an association between the two variables?.
An association between the two variables can be implied if the relative frequencies vary across the columns.
In a two-way table, the relative frequencies represent the proportion of observations within each cell relative to the total number of observations in that column. If the relative frequencies differ significantly across the columns, it suggests that there is an association between the two variables being examined. This indicates that the distribution of one variable is not independent of the other variable, and there may be a relationship or dependence between them. It is important to analyze the patterns in the data, perform additional statistical tests, and consider other factors to confirm the presence and strength of the association.
An association between the two variables can be implied if the relative frequencies vary across the columns.
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Select the correct answer.
if p(4) = -16, p(-6) = 0, and P(5) P(-6), which statement must be true?
A. (x + 16) is a factor of p.
B. (x + 4) is a factor of p.
C. (x + 6) is a factor of p.
D. (x – 5) is a factor of p.
Explanation:
p(-6) = 0 means that plugging x = -6 into p(x) leads to p(x) = 0.
If (x+6) was a factor of p(x), then we can say
p(x) = (x+6)q(x)
where q(x) is some other polynomial. Now let's replace x with -6
p(x) = (x+6)q(x)
p(-6) = (-6+6)q(-6)
p(-6) = 0*q(-6)
p(-6) = 0
The value of q(-6) doesn't matter as multiplying 0 with any number leads to 0.
This is all based on the special case of the remainder theorem that says "if p(k) = 0, then (x-k) is a factor of p(x)".
(x+6) is a factor of p.
The answer is option C.
How to solve the function?p(-6) = 0 means that plugging x = -6 into p(x) leads to p(x) = 0.
If (x+6) was a factor of p(x), then we can say
p(x) = (x+6)q(x)
where q(x) is some other polynomial. Now let's replace x with -6
p(x) = (x+6)q(x)
p(-6) = (-6+6)q(-6)
p(-6) = 0*q(-6)
p(-6) = 0
The value of q(-6) doesn't matter as multiplying 0 with any number leads to 0.
This is all based on the special case of the remainder theorem that says "if p(k) = 0, then (x-k) is a factor of p(x)".
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Simplify the following polynomial by adding. If the polynomial cannot be simplified, then enter the polynomial as it is currently written below
Given the expression:
\(30t^3+25t^3\)Let's simplify the polynomials by adding them.
Here, the polynomials have like terms because their variables are the same and the expoenents of the variables are also equal.
Since the polynomials have like terms, let's add the coefficients.
\(30t^3+25t^3=55t^3\)Therefore, the simplified expression after adding is:
\(55t^3\)ANSWER:
\(55t^3\)Edna earns $6 for each hour of yard work. How many hours in all will it take Edna to earn
$42?
Answer:
42 divided by 6=7 so 7 hrs
Step-by-step explanation:
its probalay wrong im not smart lol
Let f(x) be her earnings for x hours. it's given that \(f(x) = 6x\). The question asks what is x for \(f(x) = 42\).
\(42 = f(x) \\~\\42 = 6x \\~\\x = 7\)
She has to work 7 hours.
Required information Sheena can row a boat at 2.30mi/h in still water. She needs to cross a river that is 1.20mi wide with a current flowing at 1.60mi/h. Not having her calculator ready, she guesses that to go straight across, she should head upstream at an angle of 25.0 ∘from the direction straight across the river. How far upstream or downstream from her starting point will she reach the opposite bank? If upstream, enter a positive value and if downstream, enter a negative value. mi Required information Sheena can row a boat at 2.30mi/h in still water. She needs to cross a river that is 1.20mi wide with a current flowing at 1.60mi/h. Not having her calculator ready, she guesses that to go straight across, she should head upstream at an angle of 25.0 ∘from the direction straight across the river. In order to go straight across, what angle upstream should she have headed?
Sheena will reach the opposite bank approximately 11.269 miles downstream from her starting point.
To determine how far upstream or downstream Sheena will reach the opposite bank, we can use the concept of vector addition.
Let's analyze the situation:
Sheena's boat speed in still water is 2.30 mi/h.
The river width is 1.20 mi.
The current is flowing at a speed of 1.60 mi/h.
To go straight across the river, Sheena needs to balance the current by heading upstream at an angle that compensates for the downstream drift caused by the current.
Let's calculate the time it takes for Sheena to cross the river at an angle of 25.0 degrees upstream:
First, we calculate the effective downstream speed caused by the current:
Effective downstream speed = Current speed = 1.60 mi/h.
Then, we calculate the effective upstream speed required to counteract the current:
Effective upstream speed = Boat speed in still water * sin(angle)
= 2.30 mi/h * sin(25.0 degrees)
≈ 0.976 mi/h.
Now, we can calculate the time it takes to cross the river:
Time = River width / (Effective upstream speed - Effective downstream speed)
= 1.20 mi / (0.976 mi/h - 1.60 mi/h)
≈ 7.043 hours.
Since Sheena's boat speed is slower than the current speed, she will not be able to reach the opposite bank directly. She will be carried downstream by the current, and the distance downstream can be calculated as:
Distance downstream = Effective downstream speed * Time
= 1.60 mi/h * 7.043 hours
≈ 11.269 mi.
Therefore, Sheena will reach the opposite bank approximately 11.269 miles downstream from her starting point.
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A researcher is curious about the average IQ of registered voters in the state of Florida. The entire group of registered voters in Florida is an example of a ______.
Answer:
Population
Step-by-step explanation:
A population can be defined as the total number of living organisms living together in a particular place and sharing certain characteristics in common.
A sample survey is a statistical method used for the collection of data from a target population in order to draw an inference and reach a logical conclusion.
In Statistics, sampling can be defined as a process used to collect or select data (objects, observations, or individuals) from a larger statistical population using specific procedures.
In this scenario, the entire group of registered voters in Florida is an example of a population.
Use place value to explain each step in finding
3 x 2,746
The value of the given expression 3 x 2,746 is 8,238.
We are given the expression:-
3 x 2,746
We have to find the value of the given expression using place value.
According to the data given in the question, we can write,
In 2746,
The place value of 6 is 6
The place value of 4 is 4*10 = 40
The place value of 7 is 7*100 = 700
The place value of 2 is 2*1000 = 2000
Hence, we can write,
3*2746 = 3*2000 + 3*700 + 3*40 + 3*6 = 6000 + 2100 + 120 + 18 = 8,238.
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A student found a strong correlation between the age of people who run marathons and their marathon time. Can the student say that young people will run marathons faster than older people? Explain.
According to strong correlation, as the age of people increases, their marathon time increases.
What is correlation?Correlation of two pairs of data values tells about the degree of movement(along or opposite) that can occur in one of the data values when other data value is increased or decreased respectively.
The correlation coefficient is the degree of association between two quantities in terms of linear relation.
The range of correlation coefficient lies -1 to 1
Let Elite marathon race times improved from 5 to ~20 years, remained linear between ~20 and ~35 years, and started to increase at the age of ~35 years in a curvilinear manner with increasing age in both women and men.
The difference in elite marathon race time increased non-linearly and was lowest at the age of ~49 years so, older people take more time to complete.
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Siti opened her money box to find 50 pieces of $5-notes and $2-notes.if the total value of all the notes is more than $132,find the minimum number of $5-notes she has.
The minimum number of $5-notes she has is 11.
To find the minimum number of $5-notes that Siti has, we need to consider the maximum number of $2-notes she can have while still having a total value of more than $132.
Let's assume Siti has x $5-notes. Since the total value of all the notes is more than $132, we can set up the following equation:
5x + 2(50 - x) > 132
Simplifying the equation:
5x + 100 - 2x > 132
Combining like terms:
3x + 100 > 132
Subtracting 100 from both sides:
3x > 32
Dividing both sides by 3:
x > 10.67
Since x represents the number of $5-notes, it must be a whole number. Therefore, Siti must have at least 11 $5-notes in order for the total value of the notes to be more than $132.
So, the minimum number of $5-notes she has is 11.
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Find all the prime numbers in each of the following
decades.
2021-2030
Answer:
2027 and 2029
Step-by-step explanation:
am not sure if this is what you meant
the prime numbers in the decade from 2021 to 2030 are: 2023, 2027, and 2029.
To find all the prime numbers in the decade from 2021 to 2030, we need to check each number in this range and determine if it is a prime number. A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.
Let's examine each number in the range from 2021 to 2030:
2021: Not a prime number (divisible by 7 and 17)
2022: Not a prime number (divisible by 2 and 101)
2023: Prime number (divisible only by 1 and 2023)
2024: Not a prime number (divisible by 2, 4, 8, 253, 506, and 1012)
2025: Not a prime number (divisible by 5 and 405)
2026: Not a prime number (divisible by 2, 3, 11, 61, and 122)
2027: Prime number (divisible only by 1 and 2027)
2028: Not a prime number (divisible by 2, 4, 7, 14, 31, 62, 127, and 254)
2029: Prime number (divisible only by 1 and 2029)
2030: Not a prime number (divisible by 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, and 435)
In summary, the prime numbers in the decade from 2021 to 2030 are: 2023, 2027, and 2029.
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Select the correct answer. Let f(x) and g(x) be polynomials as shown below. Which of the following is true about f(x) and g(x)? f(x) and g(x) are closed under multiplication because when multiplied, the result will be a polynomial. f(x) and g(x) are closed under multiplication because when multiplied, the result will not be a polynomial. f(x) and g(x) are not closed under multiplication because when multiplied, the result will be a polynomial. f(x) and g(x) are not closed under multiplication because when multiplied, the result will not be a polynomial.
f(x) and g(x) are not closed under subtraction because when subtracted, the result will be a polynomial, the correct option is B.
What is Polynomial?A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminate in mathematics. Majorly used polynomials are binomial and trinomial.
Given f(x) and g(x) two polynomial functions in the standard form of the polynomial,
According to Closure Property, when something is closed, the output will be the same as the input.
The polynomials f(x) and g(x) can be seen in the image.
On subtracting the two polynomials, the output will be a polynomial and so it is closed under subtraction.
Therefore, The reason why f(x) and g(x) are not closed under subtraction is that the outcome of subtraction will be a polynomial, making option B the best choice.
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Complete question:
i need to cheak my wark
Answer:
The third figure from the top.
Please solve in EXCEL using an excel formula such as =npv
ou're buying a house that costs 300,000 with a down payment of \( 25 \% \) in cash and a 30 year mortgage for the rest at \( 2.75 \% \). What are your onthly principal + interest payments?
To calculate the monthly principal + interest payments for a house with a down payment and a mortgage using an Excel formula, you can use the PMT function. Here's how:
Calculate the loan amount by subtracting the down payment from the house cost. In this case, the down payment is 25% of $300,000, so it would be $75,000.
Loan Amount = $300,000 - $75,000 = $225,000
Determine the monthly interest rate by dividing the annual interest rate by 12. In this case, the annual interest rate is 2.75%, so the monthly interest rate would be 2.75% / 12 = 0.00229.
Determine the loan term in months. Since it's a 30-year mortgage, the loan term would be 30 * 12 = 360 months.
Use the PMT function in Excel to calculate the monthly principal + interest payment.
Monthly Payment = -PMT(0.00229, 360, 225000)
The negative sign is used because the payment is an outgoing cash flow.
By using this formula in Excel, you can find the monthly principal + interest payments for your mortgage. Remember to adjust the interest rate, loan amount, and loan term if they differ from the example provided.
To calculate the monthly principal + interest payments using an Excel formula, you can use the PMT function by inputting the appropriate parameters: the monthly interest rate, loan term in months, and loan amount.
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How many minutes have passed, m, when Tank A contains the following amounts of water?
a. 151 liters
b. 191.5 liters
c. 270.25 liters
d. p liters
The minutes that have passed, m, when Tank A contains the following amounts of water will be:
151 liters = 3 minutes
191.5 liters = 7.5 minutes
270.25 liters = 16.25 minutes
p liters = (p-124) / 9 min
How to calculate the minutes?It should be noted that for 151 lit = (151 - 124)/9 = 3 min
Also, for 191.5 lit = (191.5-124) /9
= 67.5/9 = 7.5 min = 7 min 30 sec
It should be noted that for 270.25 lit = (270.25 - 124)/9 = 146.25/9 = 16.25 = 16 min 15 sec
For p lit = (p-124) / 9 min
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Tank A initially contained 124 liters of water. It is then filled with more water, at a constant rate of 9 liters per minute.
How many minutes have passed, m, when Tank A contains the following amounts of water?
151 liters
191.5 liters
270.25 liters
p liters
Follow • 1
which distribution is least likely to be skewed to the right by high values? I have already gotten the accident answer wrong.
Annual incomes of n passengers on a flight from New York to London
Weekend gambling losses of n customers at a major casino
Accident damage losses by n renters of an auto rental company
Cost of a plain McDonald's hamburger in n U.S. cities
The distribution least likely to be skewed to the right by high values is: Cost of a plain McDonald's hamburger in n U.S. cities.
1. Annual incomes of n passengers on a flight from New York to London: Incomes can have a wide range and could include extremely high values, causing a right skew.
2. Weekend gambling losses of n customers at a major casino: Gambling losses can also have a wide range and may include a few customers with significant losses, causing a right skew.
3. Accident damage losses by n renters of an auto rental company: This distribution could have a few cases with very high losses, causing a right skew.
4. Cost of a plain McDonald's hamburger in n U.S. cities: The price of a McDonald's hamburger is relatively consistent across cities and would not likely have extreme high values, making it the least likely to be skewed to the right.
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If team A is the underdog in playing team B and has probability 1/3 of winning every game it plays against team B. What is the probability that it wins the best-of-five series over team B? Note: Team A must win the last game played.
The probability that team A wins the best-of-five series over team B is 32/243.
For team A to win the best-of-five series over team B, team A must win at least three of the five games played, and the last game played must be a win for team A. Let's consider the different ways that team A can win the series:
Team A wins the first three games and loses the last two games.
Team A wins the first two games, loses the third game, wins the fourth game, and loses the fifth game.
Team A wins the first two games, loses the third game, loses the fourth game, and wins the fifth game.
Team A wins the first game, loses the second game, wins the third game, loses the fourth game, and wins the fifth game.
The probability of each of these outcomes is:
(1/3)^3 * (2/3)^2 = 8/243
(1/3)^2 * (2/3) * (1/3) * (2/3) = 8/243
(1/3)^2 * (2/3) * (2/3) * (1/3) = 8/243
(1/3) * (2/3) * (1/3) * (2/3) * (1/3) = 8/243
Therefore, the probability that team A wins the best-of-five series over team B is the sum of these probabilities:
P(A wins series) = 8/243 + 8/243 + 8/243 + 8/243 = 32/243
So, the probability that team A wins the best-of-five series over team B is 32/243.
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Determine whether each ordered pair is a solution or not a solution to this system of inequalities.
y< −x
2x+y>2
The ordered pair that is the solution of the given system of inequalities is (2, -2)
What is inequality?A relationship between two expressions or values that are not equal to each other is called inequality.
Given is a system of inequalities, y < -x and 2x+y > 2, we need to determine solution set of the given system of inequalities,
The inequalities are,
y < -x....(i)
2x+y > 2
y < 2-2x...(ii)
To find the ordered pair, put y = -x in equation Eq(ii) and replace < by =
-x = 2 - 2x
x = 2
y = -2
Therefore, the ordered pair, is (2, -2) {look at the graph attached}
Hence, the ordered pair that is the solution of the given system of inequalities is (2, -2)
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NEED ASAP 7TH GRADE MATH
Answer:
i think its the first one but im not completely sure...
Answer: b or c
Step-by-step explanation:
2. Which of the situations described below
can be modeled by the equation
n+0.5n-0.3n = 1.2n, where n is the
number of nickels originally in the jar?
ANSWER
C
EXPLANATION
From the given question.
Assume that n equals 1 initially.
Then n would equal 1 then add 50% (0.5) then take 30% (0.3) which equals 1.2.
\(\begin{gathered} n=1 \\ 1+0.5-0.3=1.2 \end{gathered}\)Help ASAP! 100 Points!! Look AT PHOTO!
Answer:
1
2,3,4
Step-by-step explanation: to
when the number of football is 1 is less expensive than basketball
What are some real life examples of parallel lines and transversals?.
Some of the real life examples of parallel lines cut by transversal are: chessboard, graph paper,railway tracks,net on the tennis court etc.
When two lines don't intersect, they are said to be parallel. Parallel lines are two lines that run parallel to each other and meet at infinity.
A transversal is formed when a line intersects two lines at distinct points.
Real life examples of parallel lines cut by transversal line are:
Tiles on the floorGrills on windows and in doorwaysThe checkered pattern on bedsheets, dining tablecloths, shirtsChessboardGraph paperBookshelvesMain roads and internal roadsRailway tracks- the rails and sleepers across themA musical keyboard standNet on the tennis court The railings and posts on staircasesFencesThus, in real life situations parallel lines cut by transversal can be observed very frequently.
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Which will have a higher effective interest rate, a payday loan for $2500 due in
17 days with a fee of $130 or a payday loan for $2500 due in 15 days with a
fee of $130?
O A. A payday loan for $2500 due in 17 days with a fee of $130,
because it has the shorter period
O B. A payday loan for $2500 due in 15 days with a fee of $130,
because it has the longer period
C. A payday loan for $2500 due in 15 days with a fee of $130,
because it has the shorter period
O D. A payday loan for $2500 due in 17 days with a fee of $130,
because it has the longer period
Answer: C. A payday loan for $2500 due in 15 days with a fee of $130,
because it has the shorter period.
Step-by-step explanation: took the quiz.
A payday loan for $2500 is due in 15 days with a fee of $130, and has a higher interest rate Option C is correct.
Given that,
a payday loan for $2500 due in 17 days with a fee of $130.
a payday loan for $2500 due in 15 days with a fee of $130.
Interest is the outlay you pay to borrow money. Interest is often deliberated as an annual percentage of a loan amount.
Since it is to be determined which of the option has a higher interest rate.
Of the options, only option C has the higher interest rate because interest in all the options is the same but the time duration of the interest rate varies. In option C interest levied is for a shorter period which implies if the amount is paid early interest should be lower but it's not.
Thus, a payday loan for $2500 is due in 15 days with a fee of $130, and has a higher interest rate Option C is correct.
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What is 9 - 3 Divided by 1/3 +1
Answer:
Therefore the answer is 1
Step-by-step explanation:
9 − 3/ 1 / 3 + 1
=9 − 9 + 1
=0 + 1
=1
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Hmm I’ve spent time on it… help pls anyone?