Help I don't know how to calculate this and I only have 2-3 more attempts T-T
*specifically number 3*
Answers
By derivative rules we find the following conclusions from functions:
The second derivative of the function y = 3 / x - 7 · ㏑ x is equal to y'' = 6 / x³ + 7 / x².The value of the second derivative of the function s = 2 / t - 2 / t² for t = 2 is equal to - 1 / 4 feet per square second.How to apply derivative rules and evaluate derivatives
In this question we find two cases where the second derivative of a function must be found, this can be done by applying derivative rules twice. The first case consists in determining the second derivative of the following function:
y = 3 / x - 7 · ㏑ x
First derivative
y' = - 3 / x² - 7 / x
Second derivative
y'' = 6 / x³ + 7 / x²
The second case requires the determination and evaluation of the second derivative of the following function:
s = 2 / t - 2 / t², t = 2
First derivative
s' = - 2 / t² + 4 / t³
Second derivative
s'' = 4 / t³ - 12 / t⁴
Evaluation
s'' = 4 / 2³ - 12 / 2⁴
s'' = 1 / 2 - 3 / 4
s'' = - 1 / 4 ft / sec²
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Related Questions
Use the quadratic formula f(x)=3x2−18x+23
to determine the coordinates of the vertex of the best-fitting parabola. Write the exact answer. Do not round.
Answers
Answer:
108x^2 +23
Step-by-step explanation:
i think...
3x×2×18x+23
108x×x+23
final answer: 108^2 +23
Step by step
By graphing this quadratic formula we can find the vertex, the point of intersection of the parabola and the axis of symmetry, which is the highest or lowest point of the parabola.
substracts 5 - 3 1/3
Answers
Answer:
5/3
1 2/3
Step-by-step explanation:
5 - 3 1/3 can be simplified as follows:
5 - 3 1/3 = 5 - (3 + 1/3) [grouping the whole number and fraction together]
= 5 - (10/3) [converting the mixed number to an improper fraction]
= 15/3 - 10/3 [finding a common denominator for subtraction]
= 5/3
Therefore, 5 - 3 1/3 is equal to 5/3.
5 converts to 15/3 because 15 / 3 = 5, where 3 is our denominator.
3 1/3 converts to 10/3 because (3 • 3) + 1 = 10, where 3 also is our denominator.
Now we can subtract easily.
15/3 - 10/3 = 5/3
5/3 converts to 1 2/3 because 3 • 1 = 3, and 2 is leftover.
5 - 3 1/3 = 1 2/3, or 5/3.
Question 5) [6 Points]
Find the answer to each of the following counting problems:
The U.S. Senate Appropriations Committee has 29 members and a subcommittee is to be
formed by randomly selecting 5 of its members. How many different committees could be
formed?
●
If 25 people start a race, in how many different ways can the top 2 finishers be determined?
Companies who stocks are listed on the NASDAQ stock exchange have their company name
represented by either four or five letters (repetition of letters is allowed). What is the maximum
number of companies that can be listed on the NASDAQ?
Answers
Using permutation and combination we can find the total number of companies listed = 12,338,352
What is permutation and combination?A permutation is a methodical arrangement of things or numbers. Combinations let you choose things or numbers from a collection without worrying about the order in which they were gathered.
N (5 member) =₂₉C₅29!/5!(29-5)!=118755
The total number of firms that can be listed on NASDAQ if the company names can be either 4 or 5 letters and the letters can repeat themselves is: 4 letter names = 26 x 26 x 26 x 26 = 264 = 456,976
5 letter names equal 26, 26, 26, 26, 26 = 11,881,376.
Total number of companies listed = 456,976 + 11,881,376 = 12,338,352
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Help 100 points plus brainiest
Answers
Answer:
B
Step-by-step explanation:
For every 4 units moved to the side, it also moves up by 5 units.
The Fort Salonga News charges $29.50 for a classified ad that is four or fewer lines long. Each line
above four lines costs an additional $5.25. Express the cost of an ad algebraically as a piecewise
function.
Answers
The cost of an ad algebraically as a piecewise function is 29.50x + 5.25
What is an algebraic function?An algebraic function is a polynomial equation that can be constructed using only algebraic operations such as addition, subtraction, multiplication, division and exponentiation
The given statement reads:
The Fort Salonga News charges $29.50
Each line above four lines costs an additional $5.25.
Let the expression be in x
y= 29.50x + 25.5
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What is the 8th term for 2, 10, 50, 250, 1250,
Answers
a_n = a_1 * r^(n-1)
where a_1 is the first term, r is the common ratio, and n is the term number.
In this case, we have:
a_1 = 2
r = 5
So the 8th term is:
a_8 = 2 * 5^(8-1)
a_8 = 2 * 5^7
a_8 = 78125
Therefore, the 8th term in the sequence is 78125.
Use the frequency table to answer the question Male: Do Believe in Ghosts 25 Don't believe in ghosts 12 Female: Do believe in ghosts 61 Don't believe in ghosts 26. Given that someone does not believe in ghosts, what is the probability they are male? Enter your answer as a fraction.
Answers
The probability that someone who doesn't believe in ghosts is male is 6/19.
Define the term probability?The measure of the likelihood or chance of an event occurring is known as Probability. It is expressed as a number between 0 and 1, with 0 indicating impossibility and 1 indicating certainty, and is often used in statistics, mathematics, and science.
The frequency table shows that 12 males don't believe in ghosts, and 26 females don't believe in ghosts. So, the total number of people who don't believe in ghosts is 12+26=38.
Out of these 38 people who don't believe in ghosts, 12 are male. Therefore, the probability that someone who doesn't believe in ghosts is male is:
P(Male | Don't believe in ghosts) = P(Male and Don't believe in ghosts) / P(Don't believe in ghosts)
= 12/38
= 6/19
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Find the vertex of the quadratic function f(x)=x^2-6x+1
Answers
(3, 8).
Step-by-step explanation:1. Write the expression in general form.General form is: y = ax² + bx + c.
[tex]y=x^2-6x+1[/tex]
2. Use the following formula to find the "x" coordinate of the vertex.Formula: [tex]x=-\frac{b}{2a}[/tex]
3. Identify "b" and "a" from the general form.So "b" should be the coefficient of the "x" variable, that value is: -6.
Now, the "a" value is implicit, since the x² doesn't have any numbers in front of it. Therefore, the value of "a" is 1.
4. Use the values to calculate the "x" coordinate of the vertex.[tex]x=-(\frac{(-6)}{2(1)})\\ \\x=-(\frac{-6}{2})\\ \\x=-(-3)\\ \\x=3[/tex]
5. Substitute "x" by the calculated value (3) in the original function formula to find the "y" coordinate of the vertex.[tex]y=x^2-6x+1\\ \\y=(3)^2-6(3)+1\\ \\y=9-18+1\\ \\y=-8[/tex]
6. Write the ordered pair of the vertex.(3, 8).
7. Graph.Take a look at the attached image to see the graph and vertex of this function.
If anyone sees this can they help me out?
The table shows the heights and the maximum speeds for various roller coasters throughout the world
Which value is closest to the linear correlation coefficient for the data?
A) 0.483
B) 0.205
C) 0.420
D) 0.695
Answers
The value that is closest to the linear correlation coefficient for the data include the following: D) 0.695.
How to find an equation of the line of best fit for the data?In order to determine a linear equation for the line of best fit (trend line) that models the data points contained in the table, we would have to use a graphing calculator (scatter plot).
In this scenario, the heights would be plotted on the x-axis of the scatter plot while the maximum speeds would be plotted on the y-axis of the scatter plot.
From the scatter plot (see attachment) which models the relationship between the heights and the maximum speeds, a linear equation for the line of best fit and correlation coefficient are as follows:
Equation: y = 0.205x + 33.42
Correlation coefficient, r = 0.695.
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ASAPPPPP NEED HELP RN what is the value of this expression (-17) - (26) divided by 2
Answers
Thus, the solution of the expression [(-17) - (26) divided by 2] is found as the -21.5.
Explain about the subtraction of numbers?A quantity is subtracted from another quantity in subtraction, which is a mathematical process. Sutraction is expressed in word puzzles by phrases like "x smaller than 3" or "9 subtracted from x."
Add the terms first prior to utilizing the negative sign again for sum when subtracting negative numbers.Just one coefficients are added and subsequently the sign is retained when an algebraic term is subtracted from another.The given expression:
= [(-17) - (26)] / 2
Open the inner most brackets.
= [-17 - 26]/2
The numbers with the same sign (either positive or negative numbers gets added retaining the same sign).
= -43 / 2
Divide the number with 2.
= -21.5
Thus, the solution of the expression [(-17) - (26) divided by 2] is found as the -21.5.
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in a certain community, 30% of the families own a dog, 20% of the families that own a dog also own a cat
Answers
Therefore, the probability that a randomly selected family owns a cat is 0.257. Therefore, the conditional probability that a randomly selected family doesn't own a dog given that it owns a cat is 0.778.
What is probability?Probability is a branch of mathematics that deals with the study of random events or situations. It involves the quantification of the likelihood or chance of an event occurring, expressed as a number between 0 and 1, with 0 representing impossibility and 1 representing certainty. The theory of probability provides a framework for making predictions, analyzing data, and making decisions in situations involving uncertainty or randomness.
Here,
Let's use the following events:
D: family owns a dog
C: family owns a cat
From the problem statement, we know:
P(D) = 0.3
P(C|D) = 0.2
P(C) = 0.34
1. To find the probability that a randomly selected family owns a cat, we can use the law of total probability:
P(C) = P(C|D) * P(D) + P(C|not D) * P(not D)
We don't know P(C|not D), but we can find it using the fact that P(not D) = 1 - P(D):
P(C|not D) = (P(C) - P(C|D) * P(D)) / P(not D)
P(C|not D) = (0.34 - 0.2 * 0.3) / (1 - 0.3)
P(C|not D) = 0.2857
Substituting the values:
P(C) = 0.2 * 0.3 + 0.2857 * 0.7
P(C) = 0.257
2. To find the conditional probability that a randomly selected family doesn't own a dog given that it owns a cat, we can use Bayes' theorem:
P(not D|C) = P(C|not D) * P(not D) / P(C)
Substituting the values:
P(not D|C) = 0.2857 * 0.7 / 0.257
P(not D|C) = 0.778
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Complete question:
In a certain community, 30% of the families own a dog, and 20% of the families that own a dog also own a cat. It is also known that 34% of all the families own a cat. What is the probability that a randomly selected family owns a cat? What is the conditional probability that a randomly selected family doesn't own a dog given that it owns a cat?
point z is the circumcenter of triangle tub what is the value of uv
Answers
The measure of angle ZUB is 32.8°.
What precisely is a triangle?A triangle is a closed, double-symmetrical object composed of three line segments known as sides that intersect at three points known as vertices. Triangles are distinguished by their sides and angles. Triangles can be equilateral (all factions equal), isosceles, or scalene based on their sides.
Triangles are classified as acute (all angles are less than 90 degrees), okay (one angle is equal to 90 degrees), or orbicular (all angles are greater than 90 degrees) (all angles greater than 90 degrees). The region of a triangle can be calculated using the formula A = (1/2)bh, where an is the neighborhood, b is the triangle's base, and h is the triangle's height.
Since the angles given are 90 degrees and 57.2 yοu can add thοse tοgether then subtract them frοm 180 tο find the answer.
180 - 90 + 57.2 = 32.8
Thus,
32.8° is the answer.
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Complete question:
Point Z is the circumcenter of ΔTUV.
Point Z is the circumcenter of triangle T U V. Lines are drawn from each point of the triangle to point Z. Lines are drawn from point Z to each side to form right angles and line segments Z A, Z B, and Z C. The line segments cut the sides into 2 equal parts. Angle Z T B is 32.8 degrees and angle B Z U is 57.2 degrees.
What is m Angle ZUB?
23.7°
32.8°
33.5°
57.2°
A right square pyramid has a height of 8.5 m and a base perimeter of 25 m. Calculate the surface area of the pyramid to the nearest square metre. (Don't forget to calculate the slant height)
SHOW WORK!!
Answers
The surface area of the right square pyramid is 106. 25 m²
What is a square pyramid?A square pyramid is seen as a pyramid with a square base.
If the apex is vertically above the center of the square, it is called a right square pyramid, and has four vertical symmetries.
Some properties of a right square pyramid are;
It has 5 FacesFour side faces which are trianglesThe base is a square8 edgesThe formula for the surface area of a square pyramid is half of the product of its base perimeter and its slant height:
SA = P × l / 2
where P is the base perimeter and l is the slant height.
Substitute the values;
Surface area = 25(8.5)/2 = 212.5/2 = 106. 25 m²
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Compare the given measures.
Answers
The angles in the triangles when compared are:
First pair: m∠2 > m∠1Second pair: m∠L > m∠DThird pair: m∠1 > m∠2How to compare the angles in the trianglesThe triangle inequality theorem implies that
The largest angle in a triangle is opposite to the longest side of the triangle.
Using the above as a guide, we have the following comparison of angles:
First pair: m∠2 > m∠1Second pair: m∠L > m∠DThird pair: m∠1 > m∠2The above comparison are true because the angles before the inequality symbol opposite a side length greater than the lengths faced by the other angle
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HELPP i dont understand either of these questions
What is the part in the equation “45 is 15% of what number”
Answers
Answer:
the number is 300
Step-by-step explanation:
just look it up next time
Answer:
300
Step-by-step explanation:
let x be the number
then, 15% of x = 45
[tex] \frac{15}{100} \times x \: = 45 \\ x \: = 45 \times \frac{100}{15} [/tex]
x = 300
pls mrk me brainliest
Which pizza can represent 3/4 of a pizza remaining?
Answers
Answer:
Step-by-step explanation:
C.
Spelling List A-4
Short-o Sound - /o/
Spelling Words
1. dog
2.
top
3.
not
4.
box
5. jog
Answers
The answer after shorting are dog,top,not,box,jog.
What is sorting?
Sorting is the process of arranging or categorizing a set of items in a particular order or sequence according to specific criteria. It is a fundamental operation in computer science and is used extensively in various applications such as data analysis, information retrieval, and database management.
In general, sorting involves comparing elements of a collection, such as an array or a list, and rearranging them according to a predetermined order. The order can be based on a variety of factors, such as numerical value, alphabetical order, or date/time stamp. The two main categories of sorting algorithms are comparison-based sorting and non-comparison based sorting.
Some common sorting algorithms include bubble sort, insertion sort, selection sort, quicksort, merge sort, and heapsort. Each algorithm has its own advantages and disadvantages, and the choice of algorithm depends on the specific application and the characteristics of the data being sorted.
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Your complete question is:- Short "O" sound spelling in the following :-
Dog, Top, Not, Box, Jog
How can you check to see if your two expressions from part A are equivalent?
Answers
Answer: wheres the question
Step-by-step explanation:
Suppose a survey indicated that the average American spends the following number of hours per week for each activity: 54 hours for sleep, 28 hours for work, 18 hours for family care, 20 hours for personal care, and 48 hours for leisure. In constructing a circle graph, how many degrees (to the nearest tenth) of the circle should be used for the “work” segment?
Answers
Work accounts for approximately 60° of the pie chart, or 15.48% of the total 360°.
How to solveTo calculate a pie chart, first, categorize the data and calculate the total.
Each slice of the pie chart represents a numerical value and has a size proportional to the value.
The sum of all the data is equal to 360°, with the total value always being 100%.
To find the percentage for each slice of the pie chart, divide the categories by the total and convert them into percentages.
Finally, calculate the degrees using the formula (Given Data/Total value of Data) × 360°.
For example, let's say we have data on sleep, work, family care, personal care, and leisure, with a total of 168 hours.
To find the percentage for each category, we can use the following calculations:
Sleep: 54/168 x 100 = 32.14%Work: 28/168 x 100 = 15.48%Family care: 18/168 x 100 = 10.71%Personal care: 20/168 x 100 = 11.90%Leisure: 48/168 x 100 = 28.57%Therefore, work accounts for approximately 60° of the pie chart, or 15.48% of the total 360°.
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Consider the following function.
q(x)=3x−(2+5x)8
Step 2 of 2 : Find two points on the line to graph the function.
Answers
The two points on the line to graph the function is (0, -16) and (1, -53).
What are coordinates?A coordinate system in geometry is a method for determining the precise location of points or other geometrical objects on a manifold, such as Euclidean space, using one or more integers, or coordinates. The order of the coordinates is crucial, and they are sometimes recognised by their position in an ordered tuple and occasionally by a letter, as in "the x-coordinate". In elementary mathematics, the coordinates are assumed to be real numbers, although they might instead be complex numbers or components of a more abstract system, such a commutative ring.
The given function is:
q(x)=3x−(2+5x)8
To find two points on the line to graph the function we substitute different values of x.
For x = 0:
q(x)=3x−(2+5x)8
q(0) = 3(0) - (2 + 5(0))8
q(0) = -16
For x = 1:
q(x)=3x−(2+5x)8
q(1) = 3(1) - (2 + 5(1))8
q(1) = 3 - (7)8
q(1) = -53
Hence, the two points on the line to graph the function is (0, -16) and (1, -53).
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The following events occur for The Turner Corporation during 2024 and 2025, its first two years of operations.
June 12, 2024 Provide services to customers on account for $35,000.
September 17, 2024 Receive $20,000 from customers on account.
December 31, 2024 Estimate that 40% of accounts receivable at the end of the year will not be received.
March 4, 2025 Provide services to customers on account for $50,000.
May 20, 2025 Receive $10,000 from customers for services provided in 2024.
July 2, 2025 Write off the remaining amounts owed from services provided in 2024.
October 19, 2025 Receive $40,000 from customers for services provided in 2025.
December 31, 2025 Estimate that 40% of accounts receivable at the end of the year will not be received.
Required:
1. Record transactions for each date.
2. Post transactions to the following accounts: Cash, Accounts Receivable, and Allowance for Uncollectible Accounts.
3. Calculate net accounts receivable reported in the balance sheet at the end of 2024 and 2025
How to calculate
July 2, 2025 Write off the remaining amounts owed from services provided in 2024.
Answers
Net accounts receivable is calculated by subtracting allowance for uncollectible from gross accounts receivable.
1- The journal entries are used to record the business transactions.
2- Ledger accounts are used to summarize thee recorded transactions.
3- Net accounts receivable (2024) = 8,640
Net accounts receivable (2025) = 4,280
1. The Turner Corporation's transactions are recorded as follows:
Date Account Title Debit Credit Journal Entries
Accounts Receivable $35,000 on June 12, 2024
$35,000 in revenue from services
Cash $20,000, September 17, 2024
$20,000 in accounts receivable
Bad Debt Cost $5,760 as of December 31, 2024
Uncollectible Allowance: $5,760
Accounts Receivable $46,400 on March 4, 2025
$46,400 in revenue from services
Cash $10,000, May 20, 2025
$10,000 in Accounts Receivable
Allowance for Uncollectible $4,400 on July 2, 2025
$4,400 in Accounts Receivable
On October 19, 2025, the cash value is $40,000.
$40,000 in accounts receivable
Bad Debts Cost $2,400 on December 31, 2025
Uncollectible Allowance: $2,400
2. The following is the procedure for posting transactions to the chosen accounts:
Account Titles Debit Credit Cash Account Date Account Titles Debit Credit
Accounts Receivable $17,000 on September 17, 2024
Accounts Receivable $10,000 on May 20, 2025
The date is October 19, 2025 $37,000 in accounts receivable
Date Account Titles Debit Credit Accounts Receivable
Service Revenue of $31,400 on June 12, 2024
17th of September, 2024, $17,000 cash
$46,400 in service revenue on March 4, 2025
$10,000 cash, May 20, 2025
Allowance for Uncollectible Accounts $4,400 on July 2, 2025
On October 19, 2025, a cash payment of $37,000 is made.
Balance $9,400 on December 31, 202 $77,800
Provision for Uncollectible Accounts
Debit Credit Date Account Titles
Bad debt expense of $5,760 as of December 31, 2024
Accounts Receivable $4,400 on July 2, 2025
Bad Debts Cost $2,400 as of December 31, 2025
Balance of $3,760 at the end of December 2025
3. The balance sheet net accounts receivable at the end of 2024 and 2025 include:
Net accounts receivable = $8,640 in 2024
Net accounts receivable = $5,640 in 2025.
Transaction Analysis: Accounts Receivable $31,400 on June 12, 2024 $31,400 in service revenue September 17, 2024, $17,000 Cash Accounts Receivable $17,000
Bad Debt Cost $5,760 as of December 31, 2024 Provision for Uncollectible Accounts $5,760 ($31,400 minus $17,000 multiplied by 40%)
Accounts Receivable $50,000 on March 4, 2025 $50,000 in service revenue
May 20, 2025, $10,000 Cash Accounts $10,000 is available for receipt.
Allowance for Uncollectible Accounts $4,400 Accounts Receivable $4,400 July 2, 2025
The date is October 19, 2025. $37,000 in cash and accounts Receivable: $37,000
Bad Debts Cost $2,400 on December 31, 2025 Uncollectible Accounts Allowance $2,400
Net Accounts Receivable: $8,640 in 2024 ($14,400 - $5,760)
2025: $5,640 ($9,400 - $3,760).
If cos 55° = p determine the value of cos 5° in terms of p.
Answers
Answer:
Step-by-step explanation:
We can use the identity for the cosine of the sum of two angles:
cos(a + b) = cos(a)cos(b) - sin(a)sin(b)
In this case, we can write:
cos(60°) = cos(55° + 5°) = cos(55°)cos(5°) - sin(55°)sin(5°)
We know that cos(60°) = 1/2, and we also know that cos(55°) = p. We can solve for cos(5°):
1/2 = p cos(5°) - sin(55°)sin(5°)
sin(55°)sin(5°) = p cos(5°) - 1/2
We also know that sin²(55°) + cos²(55°) = 1, so:
sin²(55°) = 1 - cos²(55°) = 1 - p²
Substituting this into the previous equation:
(1 - p²)sin(5°)² = p cos(5°) - 1/2
Rearranging and factoring:
p cos(5°) = 1/2 - (1 - p²)sin(5°)²
Using the fact that sin²(5°) + cos²(5°) = 1, we can substitute cos²(5°) = 1 - sin²(5°):
p cos(5°) = 1/2 - (1 - p²)(1 - cos²(5°))
Simplifying:
p cos(5°) = 1/2 - (1 - p²) + (1 - p²)cos²(5°)
p cos(5°) = 1 - 2p² + (2p² - 1)cos²(5°)
Solving for cos²(5°):
cos²(5°) = (1 - p cos(5°) + 2p²) / (2p² - 1)
Substituting the value we found for p, cos²(55°) = p²:
cos²(5°) = (1 - p cos(5°) + 2cos²(55°)) / (2cos²(55°) - 1)
Finally, substituting p = cos(55°):
cos²(5°) = (1 - cos²(55°) cos(5°) + 2cos²(55°)) / (2cos²(55°) - 1)
cos²(5°) = (2cos²(55°) - cos²(55°) cos(5°) + 1) / (2cos²(55°) - 1)
cos²(5°) = (cos²(55°) + 1) / (2cos²(55°) - 1)
Therefore, the value of cos 5° in terms of p = cos 55° is:
cos 5° = ±sqrt[(cos²(55°) + 1) / (2cos²(55°) - 1)]
Note that the sign of the square root is determined by the quadrant in which 5° lies. Since 5° is in the first quadrant, cos 5° is positive.
Jaylon works for a concrete company
His customer would be him to pour a new driveway. The concrete must be 3/4 fr deep.
Look at the drawing and calculate the number of cubic feet of concrete he will need to bring to the job.
Answers
Answer:
volume = length × width × depth
Assuming that the driveway has a rectangular shape, you can measure the length and width of the area to be covered and multiply by the depth of 3/4 ft (which is 0.75 ft) to get the volume in cubic feet.
For example, if the driveway is 20 ft long and 10 ft wide, the volume of concrete needed would be:
volume = length × width × depth
= 20 ft × 10 ft × 0.75 ft
= 150 cubic feet
can someone please help me
please show work
Answers
The arc length and area of each circle sector is:
Case 1: s = 121π / 12 yd, A = 1331π / 24 yd²
Case 2: s = 35π / 3 in, A = 245π / 3 in²
Case 3: s = 17π / 6 ft, A = 17π / 4 ft²
Case 4: s = 11π / 2 in, A = 33π / 2 in²
Case 5: s = 116π / 9 yd, A = 928π / 9 yd²
Case 6: s = 13π / 12 ft, A = 13π / 8 ft²
How to determine the arc length and the area of a circle sector
In this problem we need to determine the arc length (s), in yards or inches, and the area (A), in square yards or square inches, of a circle sector, whose formulas are listed below:
Arc length
s = (θ / 180) · π · r
Area
A = 0.5 · (θ / 180) · π · r²
Where:
θ - Measure of the central angle, in degrees. r - Radius, in yards or inches.Now we proceed to determine the arc length and the area for each case:
Case 1 (r = 11 yd, θ = 165°)
s = (165 / 180) · π · 11
s = 121π / 12 yd
A = 0.5 · (165 / 180) · π · 11²
A = 1331π / 24 yd²
Case 2 (r = 14 in, θ = 150°)
s = (150 / 180) · π · 14
s = 35π / 3 in
A = 0.5 · (150 / 180) · π · 14²
A = 245π / 3 in²
Case 3 (r = 3 ft, θ = 170°)
s = (170 / 180) · π · 3
s = 17π / 6 ft
A = 0.5 · (170 / 180) · π · 3²
A = 17π / 4 ft²
Case 4 (r = 6 in, θ = 165°)
s = (165 / 180) · π · 6
s = 11π / 2 in
A = 0.5 · (165 / 180) · π · 6²
A = 33π / 2 in²
Case 5 (r = 16 yd, θ = 145°)
s = (145 / 180) · π · 16
s = 116π / 9 yd
A = 0.5 · (145 / 180) · π · 16²
A = 928π / 9 yd²
Case 6 (r = 3 ft, θ = 65°)
s = (65 / 180) · π · 3
s = 13π / 12 ft
A = 0.5 · (65 / 180) · π · 3²
A = 13π / 8 ft²
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Mathematical problem please help
Answers
Answer:
8
Step-by-step explanation:
Range is difference between max and min values:
20 - 12 = 8
Solve the differential equation with
the given initial condition.
Dy/dx=3x/√y
(0,1)
Answers
The solution to the differential equation dy/dx = 3x/√(y) with initial condition (0,1) is y = ((9/4) × x² + 1)^(2/3).
Describe differential equation?Differential equations are used to model a wide variety of physical, biological, and economic systems, including the motion of objects under the influence of forces, the spread of disease in a population, and the behavior of financial markets.
There are many different types of differential equations, including ordinary differential equations (ODEs) and partial differential equations (PDEs). ODEs involve a single independent variable and its derivatives, while PDEs involve multiple independent variables and their derivatives.
To solve the differential equation dy/dx = 3x/√(y), we can separate the variables by multiplying both sides by √(y) and dividing both sides by 3x:
dy/dx = 3x/√(y)
√(y) dy/dx = 3x
√(y) dy = 3x dx
Integrating both sides:
∫√(y) dy = ∫3x dx
(2/3)*y^(3/2) = (3/2)*x² + C
where C is the constant of integration.
To find the value of C, we can use the initial condition (0,1), which means y=1 when x=0:
(2/3)*y^(3/2) = (3/2)*x² + C
(2/3)*1^(3/2) = (3/2)*0² + C
C = (2/3)
Substituting C = 2/3 back into the equation, we get:
(2/3)×y^(3/2) = (3/2) × x² + 2/3
y^(3/2) = (9/4) × x² + 1
y = ((9/4) × x² + 1)^(2/3)
Therefore, the solution to the differential equation dy/dx = 3x/√(y) with initial condition (0,1) is y = ((9/4) × x² + 1)^(2/3).
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The ratio of men to women at the picnic is 4:5,if there are 819 people, how many men are there in the picnic
Answers
There are 364 men at the picnic
Describe Equation?Equations can be written in many forms, but they all have the same basic structure: an expression on the left-hand side of the equals sign, and an expression on the right-hand side of the equals sign, with the equals sign itself indicating that the two expressions are equal.
Equations can be solved using a variety of techniques, including algebraic manipulation, substitution, and graphing. The goal of solving an equation is to find the values of the variables that make the equation true. In some cases, there may be multiple solutions to an equation, or no solutions at all.
Let the number of men be 4x, and the number of women be 5x.
According to the problem, the total number of people is 819, so:
4x + 5x = 819
Simplifying and solving for x, we get:
9x = 819
x = 91
Therefore, the number of men at the picnic is:
4x = 4(91) = 364
So there are 364 men at the picnic.
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60 POINTS PLSS
Why is the quotient of three divided by one-fifth different from the quotient of one-fifth divided by three? Tell a story that could describe each situation.
HELP ASAP
Answers
After answering the presented question, we can conclude that They are equation still pleased with the quantity of pizza they received, although it is less than in the previous scenario.
What is Quotient?A quotient refers to the result obtained when one quantity is divided by another. For example, if you have 10 apples and you want to divide them equally among 2 people, each person would get 5 apples. The quotient in this case is 5, which represents the number of apples that each person would receive.
The quotient can be expressed in different forms, depending on the situation. If you are dividing two integers, the quotient can be a whole number (also known as an integer quotient) or a fraction (also known as a rational quotient). For example, if you divide 10 by 3, the quotient is 3 with a remainder of 1, which can be expressed as [tex]3 + 1/3[/tex] or as the fraction 10/3.
In algebra, the quotient can also refer to the result obtained when dividing two algebraic expressions. For example, if you divide [tex]x^2 + 3x + 2[/tex] by [tex]x + 1,[/tex] the quotient is [tex]x + 2[/tex], which represents the quotient of the division.
The concept of quotient is also used in other areas of mathematics, such as in modular arithmetic and in group theory, where it refers to the result of dividing one element of a group or a ring by another.
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In triangle ABC, the length of side AB is 16 inches and the length of side BC is 25 inches. Which of the following could be the length
of side AC?
A. 29 inches
B. 46 inches
C. 43 inches
D. 7 inches
Answers
After answering the presented question, we can conclude that triangle Therefore, the answer is A. 29 inches, since it falls within this range.
What precisely is a triangle?A triangle is a closed, double-symmetrical shape composed of three line segments known as sides that intersect at three places known as vertices. Triangles are distinguished by their sides and angles. Triangles can be equilateral (all factions equal), isosceles, or scalene based on their sides. Triangles are classified as acute (all angles are fewer than 90 degrees), good (one angle is equal to 90 degrees), or orbicular (all angles are higher than 90 degrees) (all angles greater than 90 degrees). The region of a triangle can be calculated using the formula A = (1/2)bh, where an is the neighbourhood, b is the triangle's base, and h is the triangle's height.
So, for triangle ABC with sides AB, BC, and AC, we have:
[tex]AB + BC > AC\\16 + 25 > AC\\41 > AC\\BC + AC > AB\\25 + AC > 16\\AC > -9 \\AB + AC > BC\\16 + AC > 25\\AC > 9\\[/tex]
So, the possible lengths of side AC are between 9 and 41 inches.
Therefore, the answer is A. 29 inches, since it falls within this range.
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What referents would you use to estimate the length, in both SI units and imperial units, of the Victoria (Old Traffic) Bridge in Saskatoon? Explain how you could measure the length in both units.
Answers
Step-by-step explanation:
The Victoria (Old Traffic) Bridge in Saskatoon, Canada, has a length of approximately 230 meters (755 feet). To estimate the length of the bridge in both SI and imperial units, you can use the following referents:
SI Units:
To estimate the length of the bridge in SI units, you can use meters as the referent. The length of the Victoria Bridge can be measured using a distance measuring device such as a surveyor's wheel, a laser distance meter, or a tape measure. You can start at one end of the bridge and measure the distance to the other end. This will give you an accurate measurement of the length of the bridge in meters.
Imperial Units:
To estimate the length of the bridge in imperial units, you can use feet as the referent. You can use a tape measure or a distance measuring wheel that measures in feet. You can start at one end of the bridge and measure the distance to the other end. This will give you an accurate measurement of the length of the bridge in feet.
To convert the length from meters to feet or vice versa, you can use the following conversion factors:
1 meter = 3.28 feet
1 foot = 0.3048 meters
Therefore, to convert the length of the Victoria Bridge from meters to feet, you can multiply the length in meters by 3.28. For example, 230 meters x 3.28 = 754.4 feet (rounded to the nearest tenth).
To convert the length of the Victoria Bridge from feet to meters, you can multiply the length in feet by 0.3048. For example, 755 feet x 0.3048 = 230.1 meters (rounded to the nearest tenth).