The restricted domain of the function is 0≤s≤25
The equation is a(s) = 37.5s - 1.5s² models the function represented in the table
a(s) = s(37.5 - 1.5s)
The critical points are s=0 or
37.5 - 1.5s
37.5 = 1.5s
s=25
As area can not be negative, the area should be positive
s< 0 and s>25
Therefore, restricted domain is 0≤s≤25
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ELS, an S corporation, reported a business loss of $1,000,000. Ethan, ELS’s sole shareholder, is involved in ELS’s daily business activities, and he reports $1,200,000 of taxable income from sources other than ELS. What must you know in order to determine how much, if any, of the $1,000,000 loss Ethan may deduct in the current year? How would your answer differ when the CARES Act applied. Explain.
The tax deduction is explained below.
We need to take into account a few things in order to establish how much, if any, of the $1,000,000 loss Ethan may deduct in the current year.
We need to know Ethan's basis in his ELS shares, or shareholder basis. Shareholder basis, which is changed yearly based on numerous criteria such as income, losses, donations, and payouts, symbolizes the investment a shareholder has in the S corporation.
Ethan might be entitled to deduct the loss up to the amount of his basis if his basis is positive.
We must assess if Ethan is covered by the at-risk regulations. The shareholder's amount at risk in the S corporation is the only amount that can be deducted for losses under the at-risk regulations.
If Ethan is subject to these rules, his loss deduction could be limited based on his at-risk amount.
A few tax provisions were temporarily changed as a result of the CARES Act. The CARES Act specifically altered the exclusions for business losses for non-corporate taxpayers, including individual S company shareholders. Ethan might not be able to deduct the $1,000,000 loss because of restrictions on company losses that existed prior to the CARES Act.
The excess business loss limitation for non-corporate taxpayers was temporarily suspended under the CARES Act.
This meant that Ethan and other individual shareholders could write off business losses without being constrained by the prior cap of $250,000 ($500,000 for married taxpayers filing jointly).
Therefore, regardless of any restrictions that could have existed before to the passage of the CARES Act, Ethan would be permitted to deduct the entire $1,000,000 loss in the current year if the CARES Act is applicable.
Taxpayers were temporarily helped by being able to deduct losses from other income. It's crucial to remember that the CARES Act was passed in reaction to the COVID-19 outbreak and that some of its requirements could not be in force at the moment.
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The monthly cost (in dollars) of a long-distance phone plan is a linear function of the total calling time (in minutes). The monthly cost for 48 minutes of calls is $17.01 and the monthly cost for 86 minutes is $21.95. What is the monthly cost for 56 minutes of calls?
The monthly cost for 56 minutes of calls is given as follows:
$18.05.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
The coefficients m and b represent the slope and the intercept, respectively, and are explained as follows:
m represents the slope of the function, which is by how much the dependent variable y increases or decreases when the independent variable x is added by one.b represents the y-intercept of the function, representing the numeric value of the function when the input variable x has a value of 0. On a graph, the intercept is given by the value of y at which the graph crosses or touches the y-axis.For 38 minutes of call, the price increases by $4.94, hence the slope of the linear function, representing the cost per minute, is given as follows:
m = 4.94/38
m = 0.13.
56 minutes is 30 minutes less than 86 minutes, hence the cost is given as follows:
C(56) = 21.95 - 30 x 0.13
C(56) = $18.05.
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A fisherman catches three different fish. The first fish weighs 2.02 pounds, the second weighs 2.20 pounds, the third weighs 2.2 pounds.
Do all three fish weigh the same? Explain.
Answer:
No
Step-by-step explanation:
2.20 and 2.2 are the same
but 2.02 is not the same as the others
Which of the following equations are equivalent? Select three options. 2 + x = 5 x + 1 = 4 9 + x = 6 x + (negative 4) = 7 Negative 5 + x = negative 2
The equivalent equations that have the value x = 3 are:
2 + x = 5, x + 1 = 4, and (-5) + x = -2.
Equations are considered equivalent if they have the same solution(s). In other words, if you solve each equation for the variable, you should end up with the same value(s).
Let's look at the options given:
2 + x = 5: This equation can be solved by subtracting 2 from both sides, leaving x = 3.
x + 1 = 4: This equation can be solved by subtracting 1 from both sides, leaving x = 3.
9 + x = 6: This equation can be solved by subtracting 9 from both sides, leaving x = -3.
x + (-4) = 7: This equation can be solved by adding 4 to both sides, leaving x = 11.
-5 + x = -2: This equation can be solved by adding 5 to both sides, leaving x = 3.
So, we can see that the first, second, and fifth equations are equivalent since they all simplify to x = 3. The third and fourth equations are not equivalent to any of the other equations, since they have different solutions.
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If i make 413 dollars a second, how much money would i have in 30 minutes?
Answer:
if you make 413 dollars a second, in 30 minutes you would make 743,400 dollars.
Step-by-step explanation:
If you make 413 dollars a second, in 30 minutes you would make:
30 minutes = 30 x 60 = 1800 seconds
So, the amount of money you would make in 30 minutes can be calculated as follows:
1800 seconds x 413 dollars/second = 743,400 dollars
In the figure, the angles are formed by a transversal and two parallel lines. Which angles seem to be congruent?
The angles are formed by a transversal and two parallel lines in the figure. By applying congruent angles and vertical opposite angle property, ∠1 ≅∠3 ≅ ∠5 ≅ ∠7; ∠2 ≅ ∠4 ≅ ∠6 ≅ ∠8. Therefore option B is correct.
Congruent angles are identical to each other and have the same measure. The angles formed by the transversal in corresponding corners are called corresponding angles and they are congruent.
Therefore, ∠1 ≅ ∠5, ∠3 ≅ ∠7----------(1)
At a vertex if two angles are opposite to each other, then they are vertically opposite angles, they are equal and congruent to each other.
Therefore, ∠1 ≅ ∠3, ∠5 ≅ ∠7----------(2)
Combining (1) and (2), we get:
∠1 ≅∠3 ≅ ∠5 ≅ ∠7
Similarly we can find,
∠2 ≅ ∠4 ≅ ∠6 ≅ ∠8.
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Find the line that contains the
error, explain the error, and then
solve the problem correctly.
4+3(2x-3) = 6x - 5
Line 14+ 6x-9 = 6x-5
Line 2
10x-9 = 6x-5
Line 3-
4x = 4
Line 4-
x = 1
Answer:
Line 2
Step-by-step explanation:
In the second line, 4 is taken as 4x and added with 6x resulting in 10x.
The line 2 should be written as follows:
6x - 5 = 6x - 5
Transfer like terms to the same side of the equation.6x - 6x = 5 - 5
Subtract expressions.0 = 0
Brainliest for the correct answer who put in the answer first. please help me.
Answer: {m∠HLI = m∠ILM}
Examining the figure the option that must be true is
D. m< HLI = m< ILM
How to get the correct optionThe knowledge of angle on a straight line which is 180 degrees is used here,
Using the given angles and the concept of adjacent angles we have that
angle GLH = 150 - 60 = 60
Using angles on a straight line being 180 degrees we have that
angle ILJ = 180 - 60 - 60 - 30 - 15 = 15 degrees
Using adjacent angles
angle ILM = 15 + 15 = 30 degrees
hence we can say that m< HLI = m< ILM
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ADD 5 3/8 +2 1/2 PLS I NEED THE ANSWER
Answer:
7 7/8.
Step-by-step explanation:
o add mixed numbers like these, we first need to convert them to improper fractions, and then add them. Here are the steps to add 5 3/8 and 2 1/2:
Convert the mixed numbers to improper fractions:
5 3/8 = (5 x 8 + 3)/8 = 43/8
2 1/2 = (2 x 2 + 1)/2 = 5/2
Find a common denominator for the two fractions. The least common multiple of 8 and 2 is 8, so we can convert both fractions to have a denominator of 8:
43/8 + 5/2 = (43/8) + (5/2 x 4/4) = 43/8 + 20/8
Add the two fractions with the same denominator:
43/8 + 20/8 = 63/8
Convert the result back to a mixed number:
63/8 = 7 7/8
2. As a result of a transfer from one school to another, a boy has to walk one and a half times the distance he was walking from home to school. If he walks at the same pace, how long will he take to walk to school if he was taking 43 minutes previously?
The boy will take approximately 64.5 minutes to walk to school if he was previously taking 43 minutes.
How to find how long will he take to walk to school if he was taking 43 minutes previouslyUsing the concept of proportionality to determine the new time it will take for him to walk to school.
Let's denote:
d1 = Distance he was walking previously
t1 = Time he took previously
d2 = New distance he has to walk
t2 = New time it will take
From the given information, we know that:
d2 = 1.5 * d1
t1 = 43 minutes
Since distance and time are directly proportional, we can set up a proportion:
d1 / t1 = d2 / t2
Substituting the given values:
d1 / 43 = (1.5 * d1) / t2
To solve for t2, we can cross-multiply and solve for it:
d1 * t2 = (1.5 * d1) * 43
t2 = (1.5 * d1 * 43) / d1
Simplifying the expression:
t2 = 1.5 * 43
t2 = 64.5
Therefore, the boy will take approximately 64.5 minutes to walk to school if he was previously taking 43 minutes.
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find the lower quartile 61 61 62 64 66 69 69 70 72 73 74 78
The lower quartile of the given data set is 63.
To find the lower quartile (Q1), we need to determine the value that divides the data set into the lower 25% of the values.
First, we need to sort the data set in ascending order: 61, 61, 62, 64, 66, 69, 69, 70, 72, 73, 74, 78.
Next, we calculate the position of the lower quartile using the formula: (n+1)/4, where n is the number of data points. In this case, we have 12 data points, so (12+1)/4 = 13/4 = 3.25.
Since 3.25 is not a whole number, we can find the lower quartile by taking the average of the data points at positions 3 and 4.
The data point at position 3 is 62, and the data point at position 4 is 64.
Therefore, the lower quartile (Q1) is the average of 62 and 64:
(Q1) = (62 + 64)/2 = 126/2 = 63.
Hence, the lower quartile of the given data set is 63.
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Scores in golf can be 0 (also called par), a positive integer (also called above par), or a negative integer (also called below par). The bar graph shows final scores of selected golfers from a tournament. Use this graph to answer the question below Find the average of the scores for player C, player D, player E, and player F. (Hint: Here, the average is the sum of the scores divided by the number of players ).
Answer:
The answer is -4.4.
Step-by-step explanation:
First, you have to add -12 + -10 + -6 and it equals -28. Next add the positive numbers 4+ 2 equals 6. Then, put them altogether meaning -28 + 6 equals -22, then divide it by the number of players which is 5 then you get the answer of -4.4.
Have a nice day.
In a Leichtman Research Group survey of 1000 TV households, 74.8% of them had at least one Internet-connected TV device (for example, Smart TV, standalone streaming device, connected video game console). A marketing executive wants to convey high penetration of Internet-connected TV devices, so he makes the claim that the percentage of all homes with at least one Internet-connected TV device is equal to 78%. Test that claim using a 0.01 significance level. Use the P-value method. Use the normal distribution as an approximation to the binomial distribution.
W do not have sufficient evidence at the 0.01 level of significance to reject the claim made by the marketing executive
How to explain the normal distributionWe'll perform a one-sample z-test for proportions.
From the survey, we know:
Sample size (n) = 1000
Sample proportion) = 0.748
Under the null hypothesis:
Proportion (p0) = 0.78
Now we can calculate the z-score:
z = (0.748 - 0.78) / ✓(0.78 * (1 - 0.78)) / 1000]
= -0.032 / ✓(0.1716 / 1000]
= -0.032 / 0.0131
≈ -2.44
From the z-table, the P-value for -2.44 is approximately 0.015.
However, we need to double this value to get the two-tailed P-value: 2 * 0.015 = 0.03.
If the P-value is less than the significance level (α = 0.01), we reject the null hypothesis. In this case, the P-value (0.03) is greater than α, so we do not reject the null hypothesis.
Based on the data from the Leichtman Research Group survey, we do not have sufficient evidence at the 0.01 level of significance to reject the claim made by the marketing executive.
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which represents 10 times the value of the digit 8 in 308.19
Answer: 0
Step-by-step explanation:8th Place 100*10 1000th Place is 0
Convert 11/15 15/11 to a decimal and a percent.
We can see here that converting 11/15 to decimal and a percent, we have:
Decimal = 0.7333 Percent = 73.33%Converting 15/11 to decimal and percent, we have:
Decimal = 1.3636Percent = 136.36%What is decimal?A decimal is a number that uses the decimal system, which is a system of representing numbers using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9, and a decimal point.
Thus, converting 11/15 to decimal and a percent:
Decimal = 11 ÷ 15 = 0.7333 (rounded to four decimal places)Percent = 0.7333 × 100 = 73.33%Converting 15/11 to decimal and percent, we have:
Decimal = 15 ÷ 11 = 1.3636 (rounded to four decimal places)Percent = 1.3636 × 100 = 136.36%.Learn more about decimal on https://brainly.com/question/28393353
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Ans 5(9+(5sq-16)sq)sq
Answer: (the 2s I added are for square 2)
5sq(5g2s2 - 16qs + 9)
Step-by-step explanation:
2 divided by blank equals 0.2
Answer:
10
Step-by-step explanation:
2 / 10 = 0.2
2 divided by ten is two-tenths.
Answer: 2 divided by 10 is 0.2
Give your answer in degrees (°).
35°
44°
x
Find X
The value of x is 53.
We have,
From the figure,
There are two parallel lines.
This means,
44 and angle M are corresponding angles.
And,
We can consider a triangle as:
M + P + P = 180
Where P is the angle opposite to the equal sides.
So,
44 + P + P = 180
44 + 2P = 180
2P = 180 - 44
2P = 36
P = 18
Now,
x is the exterior angle.
This means,
x = 35 + P
x = 35 + 18
x = 53
Thus,
The value of x is 53.
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the capacity of P vessel is 12l and that of Q vessel is 18l. Write the capacities of different vessels which completely fill P vessel with exact number of filling.
i) The capacities of different vessels which completely fill P vessel with exact number of fillings are:
One vessel of 12 ITwo vessels of 6 I eachThree vessels of 4 I eachFour vessels of 3 I eachSix vessels of 2 I eachTwelve vessels of 1 I eachHow to explain the information(ii) The capacities of different vessels which completely fill Q vessel with exact number of fillings are:
One vessel of 18 I
Two vessels of 9 I each
Three vessels of 6 I each
Six vessels of 3 I each
Nine vessels of 2 I each
Eighteen vessels of 1 I each
(iii) The common capacities of vessels which completely fill P as well as Q vessels with exact number of fillings are:
Two vessels of 6 I each
Three vessels of 4 I each
Six vessels of 2 I each
Twelve vessels of 1 I each
(iv) The greatest capacity of vessel that completely fills P as well as Q vessels with exact number of fillings is 6 I.
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-b-
Note: Figure is not drawn to scale.
If a = 5m, b = 8 m, c = 8 m, and d = 2 m, what is the perimeter of the swimming pool?
OA.
21 m
OB.
32 m
29 m
34 m
OC.
OD.
6 of 10 Answered
Reset
Submit
Session Timer: 78:05
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C
After considering the given data we conclude that the perimeter of the given swimming pool is 23 meters which is Option A.
The perimeter of a rectangle is evaluated by adding up all its sides. For the given case, we possess a rectangle with sides
a = 5m,
b = 8m,
c = 8m and
d = 2m.
Perimeter regarding the swimming pool is evaluated as
a + b + c + d
= 5m + 8m + 8m + 2m
= 23 meters
Hence the option regarding the question which satisfy the perimeter is Option A.
Perimeter the counted measurement regarding the distance around the outside of a two-dimensional shape. In this system the length of the outline or boundary of any two-dimensional geometric shape is defined as perimeter .
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The complete question is
If a = 5m, b = 8 m, c = 8 m, and d = 2 m, what is the perimeter of the swimming pool?
A.23 m
B. 32 m
C.29 m
D.34 m
Please help asap!!! I will give points !!!
The value of p when q is equal to 2 is 108
What is inverse variation?Inverse variation is the relationships between variables that are represented in the form of y = k/x, where x and y are two variables and k is the constant value.
This means as x increases y reduces and vice versa.
If p is inversely proportional to q, then
p = k/q
p = 18 and q = 12
18 = k/12
k = 18 × 12 = 216
When q =2
p = 216/2
p = 108
therefore the value of p is 108
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7. Tristan is in grade 12 and has worked at a local fast food chain for just over two years.
He earns $1500 per month. Tristan deposits $750 at the end of each month into an account that pays 3.25% per year, compounded monthly.
a) How much was in Tristan's account at the end of
one year?
b) How much was in Tristan's account at the end of
two years?
c) Compare your answers to parts a) and b). Explain why the answer to part b) is not double the answer to part a.
The compound interest is solved and answer to part b) is not double the answer to part a) because the interest is compounded monthly, not annually.
Given data ,
To calculate how much was in Tristan's account at the end of one year, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
where A is the amount at the end of the time period, P is the principal (the initial deposit), r is the annual interest rate (as a decimal), n is the number of times the interest is compounded per year, and t is the time in years.
In this case, P = $750, r = 0.0325, n = 12 (since the interest is compounded monthly), and t = 1. Plugging in these values, we get:
A = $750(1 + 0.0325/12)⁽¹²ˣ¹⁾ = $8,086.43
Therefore, there was $8,086.43 in Tristan's account at the end of one year.
b)
To calculate how much was in Tristan's account at the end of two years,
t = 2,
A = $750(1 + 0.0325/12)⁽¹²ˣ²⁾ = $16,575.29
Hence , there was $16,575.29 in Tristan's account at the end of two years
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The approximate mass of a hydrogen atom is grams. The mass
of a single lead atom is approximately grams. How many times
heavier is a lead atom than a hydrogen atom?
A lead atom is 200 times heavier than a hydrogen atom.
To determine how many times heavier a lead atom is compared to a hydrogen atom, we can calculate the ratio of their masses.
Mass of hydrogen = 1.7 × 10⁻²⁴ grams
Mass of lead atom = 3.4 × 10⁻²² grams
To find the ratio of their masses, we divide the mass of the lead atom by the mass of the hydrogen atom:
Ratio = 3.4 × 10⁻²² / 1.7 × 10⁻²⁴
= (3.4 / 1.7)× 10⁻²² / 10⁻²⁴
= 2×10²
= 200
Therefore, a lead atom is 200 times heavier than a hydrogen atom.
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The approximate mass of a hydrogen atom is 1.7*10^-24 grams. The mass of a single lead atom is approximately 3.4*10^-22 grams. How many times heavier is a lead atom than a hydrogen atom.
A. 5 times heavier
B. 20 times heavier
C. 50 times heavier
D. 200 times heavier
Mr. and Mrs. Doran have a genetic history such that the probability that a child being born to them with a certain trait is 3/4. If they have seven children, what is the probability that exactly three of their seven children will have that trait? Round your answer to the nearest thousandth.
The probability that exactly three of their seven children will have the given trait is 0.073.
To solve this problem, we can use the binomial probability formula. The probability of exactly k successes in n trials, where the probability of success is p, is given by:
P(X = k) = C(n, k) . [tex]p^k[/tex] . (1 - [tex]p)^(n - k)[/tex]
In this case, the probability of a child having the trait is p = 3/4, and we want to find the probability of exactly 3 children having the trait out of 7 children, so k = 3 and n = 7.
Using the formula:
P(3) = 7! / 4! 3! x (3/4)³ x (1-3/4)⁴
P(3) = 35 x 27/64 x 1/256
P(3) ≈ 0.073
Therefore, the probability that exactly three of their seven children will have the given trait is 0.073.
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The credit remaining on a phone card (in dollars) is a linear function of the total calling time made with the card (in minutes). The remaining credit after 24
minutes of calls is $22.12, and the remaining credit after 63 minutes of calls is $17.44. What is the remaining credit after 91 minutes of calls?
The remaining credit after 91 minutes of calls is $16.76.
We are given that;
(24, 22.12) and (63, 17.44)
Now,
To find the slope and the y-intercept of the function. You can write your solution as:
Slope = (y2 - y1) / (x2 - x1) = (17.44 - 22.12) / (63 - 24) = -0.08 y-intercept = y - mx = 22.12 - (-0.08)(24) = 24.04 Equation: y = -0.08x + 24.04
To find the remaining credit after 91 minutes of calls, you need to substitute x = 91 in the equation and simplify. You can write your answer as:
y = -0.08(91) + 24.04 y = -7.28 + 24.04 y = 16.76
Therefore, by the intercept the answer will be $16.76.
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Jonah walks 1/3 mile in 3/4 hour. What constant of proportionality relates the distance she travels to the time?
Zoe put g gel pens in each of 8 goody bags. Choose the expression that shows the total number of gel pens.
Answer: The expression showing the total number of gel pens ="8g"
Step-by-step explanation:
Number of bags with Zoe= 8
Number of gel pens with Zoe=g
According to the question, Zoe puts g gel pens in each one of the 8 bags, which means that the total number of gel pens would be the sum of all pens present in all the 8 bags .
=(no of pens in one bag)x(no of bags)
=gx8
=8g
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I need help ASAP please
1. Statement 1 is false because the + sign in logarithm laws stands for multiplication
2. The value of x is not a solution
3. In logarithmic form we can write; log10 0.0001 = -4
What are the laws of logarithm?A set of guidelines called the laws of logarithms governs how to work with and simplify logarithmic expressions. These principles are useful for performing numerous mathematical operations involving logarithms as well as for solving logarithmic equations and simplifying complex logarithmic statements.
1. log3(a + b) ought to be the same as log3(a * b)
2. We have that;
[tex]3^{2x - 5} = 27[/tex]
Writing in the same base;
[tex]3^{2x - 5 } = 3^3[/tex]
2x - 5 = 3
2x = 3 + 5
2x = 8
x = 4
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the opposite sides of a parallelogram are ? congruent
A: always
b: sometimes
c: never
What is the name of the following triangle?
Answer: Obtuse triangle? The line marked with O and E is more than 90 degrees
Step-by-step explanation:
