Answers
We are given,
θ = 30°Radius = 9cmLength of arc is given by,
\( \sf\frac{θ}{360} \times 2\pi r\)
\( \sf \frac{30}{360} \times 2 \times \frac{22}{7} \times 9\)
\( \sf \frac{ \cancel{30}}{ \cancel{360}} \times 2 \times \frac{22}{7} \times 9\)
\( \sf \frac{1}{ \cancel{120}} \times \cancel2 \times \frac{22}{7} \times 9\)
\( \sf \frac{1}{ \cancel{60}} \times \frac{22}{7} \times \cancel9\)
\( \sf \frac{1}{ \cancel{20}} \times \frac{ \cancel{22}}{7} \times 3\)
\( \sf \frac{1}{10} \times \frac{11}{7} \times 3\)
\( \sf \frac{33}{70} \approx0.4cm\)
Related Questions
Plasserea numbers in ascending Order
Answers
Answer:
the pic is 't clear
Step-by-step explanation:
11.(12 pts. Find z, the z coordinate of the center of mass, for the solid s bounded by paraboloid = = x2 + y2 and the plane z = 1 if S has constant density 1 and the total mass 2
Answers
The z-coordinate of the center of mass for the solid S is 1/4.
To find the z-coordinate of the center of mass (z_c), we need to use the formula z_c = (1/M)∫∫∫ z dV, where M is the total mass and dV is the volume element.
Since the solid S is bounded by the paraboloid z = x² + y² and the plane z = 1, we'll integrate over the region in cylindrical coordinates, with z ranging from the paraboloid (z = r²) to the plane (z = 1), r ranging from 0 to 1, and θ ranging from 0 to 2π.
The volume element dV = r dz dr dθ, and the density is 1, so z_c = (1/2)∫∫∫ r² dz dr dθ. Solving the integral, we find that the z-coordinate of the center of mass for the solid S is 1/4.
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Lucy had four and four fifths cups of flour and used two and one half cups to make a banana bread. How many cups of flour does Lucy have left?
Answers
Answer:
B
Step-by-step explanation:
:)
At one store, a 2-liter bottle of soda costs $2.12. At another store, a 3-liter bottle costs $3.15. Which bottle is a better deal? Write a division equation for each 2-liter bottle and then decide which is the better deal.
Answers
Answer:
The second store
Step-by-step explanation:
Divide the cost by liters, you get the cost per liter.
2.12/2=1.06 dollars per liter
In the second store is:
3.15/3=1.05 dollars per liter
Is .01 dollars cheaper.
The number of main effects that need to be examined is _________ the number of independent variables.
Answers
Answer: the same as,
Step-by-step explanation:
Main effects is a term used to describe the impact an independent variable has on a dependent variable, this is usually averaged across any other independent variable.
Independent variables are variables that do not depend on other variables, they are variables that stand on their own.
Here are four digit cards 6 5 5 7
arrange the cards to give the greatest possible answer to the calculation
Answers
Answer:
7 6 5 5
Step-by-step explanation:
the highest numbers should go in the leftmost digits place, as these are worth more
here, we put 7 in the thousands place, which is 2 thousand higher than if we put 5 in the thousands place
Tekan-Tekan Sdn. Bhd. has order for 200 Model AS-120 calculator for delivery on day 200. The calculator consists of three parts. Components 2 and 3 form subassembly 1 . Sub-assembly 1 and component 4 form the final assembly. Following are the work centers and times of each operation. Table Q3(a) shows routine file of the operation. Assuming: - Only one machine is assigned to each operation - The factory works on 8-hour shift, 5 days a week - All parts move in one lot of 200. (a) Illustrate the backward schedule based on the information given above. (12 marks) (b) Identify when component 3 must be started to meet the delivery date. (2 marks)
Answers
Component 3 must be started on day 197 to meet the delivery date of day 200.
To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.
(a) Backward schedule:
Operation | Work Center | Time (hours) | Start Day
--------------------------------------------------------
Final Assembly | Work Center 1 | 1 | 200
Sub-assembly 1 | Work Center 2 | 2 | 199
Component 4 | Work Center 3 | 3 | 197
Component 2 | Work Center 4 | 4 | 196
Component 3 | Work Center 5 | 3 | ????
(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.
From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.
Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.
Hence, component 3 must be started on day 197 to meet the delivery date of day 200.
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I got c0vid and I’m behind please help
Answers
Answer:
Step-by-step explanation:
variables are A and N
constants are 16, 30, 50
coefficient are 9, 3, 15 and -10
positive term 15a, negative term -10a
and there's 4 terms
like terms are 3n and 9n
Jayne’s checkbook balance is $8,075. 10. Her bank statement indicated an ending balance of $7,617. 17. After comparing her records with the bank statement, she found a deposit from November 1 in the amount of $1,043. 73 was not credited to her account. A check written for $626. 32 had not been presented for payment. The bank paid her interest in the amount of $53. 23. There was a charge on her statement in the amount of $37. 90 for printed checks. Jayne found a check written for $55. 85 that was not recorded in her check register. What was Jayne’s reconciled balance?
Answers
A checkbook is a booklet or register that contains a set of blank checks issued by a bank to an account holder. Jayne's reconciled balance is $8,451.99.
It is used for making payments and transactions by writing checks.
A typical checkbook consists of several components:
Checks: These are pre-printed forms that contain the account holder's name, address, bank account number, and routing number. Each check has a unique check number, which is used for tracking and reference.
Check Register: This is a section of the checkbook where the account holder can record details of each transaction made using the checks. It includes columns for the date, check number, payee (the recipient of the payment), amount, and a space for any additional notes or memos.
Deposit Slips: Some checkbooks may also include deposit slips, which are used to deposit money into the bank account. Deposit slips typically require the account holder to provide their account number, name, date, and details of the funds being deposited.
Reconciliation Forms: These forms are used for reconciling the account balance with the bank statement. They help account holders track and compare their recorded transactions in the check register with the bank's records to ensure accuracy.
To calculate Jayne's reconciled balance, we need to add or subtract the relevant amounts from her checkbook balance.
1. Start with the checkbook balance of $8,075.10.
2. Deduct the amount of the check that was not recorded in her check register:
$55.85. (8,075.10 - 55.85 = 8,019.25)
3. Add the deposit that was not credited to her account:
$1,043.73. (8,019.25 + 1,043.73 = 9,062.98)
4. Deduct the amount of the check that has not been presented for payment:
$626.32. (9,062.98 - 626.32 = 8,436.66)
5. Deduct the charge for printed checks:
$37.90. (8,436.66 - 37.90 = 8,398.76)
6. Add the interest paid by the bank:
$53.23. (8,398.76 + 53.23 = 8,451.99)
Therefore, Jayne's reconciled balance is $8,451.99.
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Compute the least-squares regression equation for the given data set. Use a TI-84 calculator. Round the slope and y-intercept to at least four decimal places
Answers
To compute least-squares regression equation using a TI-84 calculator, you need a set of data points with corresponding x and y values. The calculator will display equation in the form y = a * x + b.
First, enter the x and y values into lists on the calculator. Let's assume the x-values are stored in list L1 and the y-values in list L2.Next, go to the STAT menu and select CALC. Choose option 4: LinReg(ax+b). Enter L1 for the x-list and L2 for the y-list. Make sure the frequency list is set to 1 (if not applicable). Press Enter to calculate.
The calculator will display the equation of the least-squares regression line in the form y = a * x + b. The coefficient 'a' represents the slope of the line, and 'b' represents the y-intercept.
Remember to round the slope and y-intercept to at least four decimal places, as required.
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16% of what number is 14 ?
......
Answers
Answer:
87.5
Step-by-step explanation:
x=100%
14=16%
(14×100)/16=x
x=87.5
Answer: 87.5
Step-by-step explanation:
87.5
You can use the equation to help: Part = percent x whole
14 = 16% x 87.5
Equation: 100/16 x 14 = 87.5
The answer is 87.5
Hope this helps!
Please help integrate Cos^3 x + ( tan^2 5x - Sec 2x )/7 x
Answers
Answer:
Step-by-step explanation:
ILLL MARK BRAINLIEST PLZ HELP
Sandra saves 13% of her salary for retirement. This year her salary was $1,000 more than in the previous year, and she saved $5,720. What was her salary in the previous year?
Complete the equation. 0.13(x + ) = 5,720
Sandra's salary in the previous year was .
Answers
Answer:
Step-by-step explanation:
Let the salary in the previous year = $ x
Now the salary = $ (x +1000)
This year savings = $ 5720
13% * (x + 1000)= 5720
0.13 *(x + 1000) = 5720
0.13*x + 0.13*1000 = 5720
0.13x + 130 = 5720 {subtract 130 from both sides}
0.13x = 5720 - 130
0.13x = 5590 {Divide both sides by 0.13}
x = 5590/0.13
x = $ 43000
Sandra's previous year salary = $ 43000
A map has a scale of 8cm to 1km The distance between two lakes is 4.5km How far will this be on the map
confusion
Answers
Answer:
36 cm
Step-by-step explanation:
8cm=1km
4.5km=?
We know,
4.5km=8×4.5
4.5km=36
an srs of 28 students at uh gave an average height of 5.9 feet and a standard deviation of .1 feet. construct a 90% confidence interval for the mean height of students at uh.
Answers
The 90% confidence interval for the mean height of students at UH is (5.885,5.915) feet.
We have given that, an srs of 28 students at UH gave an average height of 5.9 feet and a standard deviation of 0.1 feet.
i.e n = 28
x = 5.9 feet
s = 0.1 feet
and we have to construct a 90% confidence interval for the mean height of students at UH.
The level of significance, α = 1 - 0.9 = 0.1
The value of 0.9 in z-table is 0.816.
The formula for confidence interval is,
CI = x ± z* (s/\(\sqrt{n}\))
Substituting the values,
CI = 5.9 ± (0.816) (0.1/√28 )
= 5.9 ± (0.816)(0.1/5.291)
= 5.9 ± (0.816)(0.0189)
CI = 5.9 ± 0.015
CI = 5.9 + 0.015 = 5.915
CI = 5.9 - 0.015 = 5.885
Therefore 90% confidence interval for the mean height of students at UH is 5.885 feet to 5.915 feet.
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The sum of the angle measures of a quadrilateral is 360 degree . Write and solve an equation to find the value of x . the two numbers that are given are 100 and 100 and 120
Answers
Answer:
Step-by-step explanation:
I’m not too good with this but the answer should be 87.5
Answer:
82 degrees.
Step-by-step explanation:
Hope this helps!
for the function g(x)=-1/5 x^2 + 4x+1, find the range of g(x)
Answers
Plotting the graph of the quadratic function g(x)=-1/5x^2 + 4x + 1 the range is
y ≥ -19How to determine the range of the quadratic functionThe range of the quadratic function is seen at the vertex were the maximum or minimum y value is seen
The graph of the function g(x)=-1/5x^2 + 4x + 1 is plotted and attached
From the graph the vertex coordinates is v(-10, -16). The y coordinates of the vertex is -19 and this is the minimum values for y
Therefore the range is y ≥ -19
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mike solves 56 problems in 1 hour 45 min, how many problems does he solve per hour
Answers
Explained
56 problems divided by 1.75 = 32
The reason I used 1.75 is because 1 hr 45 minutes is 1 hour and the 45 minutes is 3/4 of an hour on the clock, 3/4 is the same as .75
Find all (real) values of k for which A is diagonalizable. (Enter your answers as a comma-separated list.) 7 5 A= 0 k ku Need Help? Read It Find all (real) values of k for which A is diagonalizable. (Enter your answers as a comma-separated list.) 5k A = 05 k=
Answers
The values of k for which A is diagonalizable are the values that satisfy either k = λ or (7-λ)(u-λ) - 5k = 0 and have two linearly independent eigenvectors associated with λ. The eigenvectors can be found by solving the system (A-λI)x = 0 for each eigenvalue λ.
The eigenvalues of A are the solutions to the characteristic equation det(A-λI) = 0, where I is the identity matrix and det denotes the determinant.
We have:
det(A-λI) = det
|7-λ 5 0 |
| 5 k-λ k |
| 0 k u-λ|
Expanding along the first row, we get:
det(A-λI) = (7-λ) det
| k-λ k |
| k u-λ|
- 5 det
| 5 k |
| 0 u-λ|
= (7-λ)(k-λ)(u-λ) - 5(k-λ)k
Setting this equal to 0 and factoring out (k-λ), we get:
(k-λ)[(7-λ)(u-λ) - 5k] = 0
Either k = λ or (7-λ)(u-λ) - 5k = 0.
If k = λ, then A has at least one eigenvalue of multiplicity 2. To be diagonalizable, it must have two linearly independent eigenvectors associated with this eigenvalue.
If (7-λ)(u-λ) - 5k = 0, then λ is an eigenvalue with algebraic multiplicity 2. To be diagonalizable, it must have two linearly independent eigenvectors associated with it.
Therefore, the values of k for which A is diagonalizable are the values that satisfy either k = λ or (7-λ)(u-λ) - 5k = 0 and have two linearly independent eigenvectors associated with λ.
The eigenvectors can be found by solving the system (A-λI)x = 0 for each eigenvalue λ.
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Your friend claims that the only solution to the equation sin(x)=1 is x=90 degrees. Is your friend correct? If there are more solutions, explain how to determine additional solutions.
Answers
Answer:
see below
Step-by-step explanation:
sin(x)=1
Take the inverse sin of each side
sin ^ -1(sin(x))=sin ^-1(1)
x =90 + 360n where n is an integer
We can go around the unit circle and find more solutions
When x = 450, sin 450 = 1
When x = -270, sin (-270) = 1
(emoji) + 3 = -6 { find the value of the emoji }
Answers
Answer:
-9
Step-by-step explanation:
x+3= -6
×= -6-3
x= -9
mark me branliest
Answer:
emojissss
Step-by-step explanation:
:3 =.= XD :7
Isabelle plans to line her flower garden with a decorative border. Her flower bed is 60 inches by 78 inches. The border is sold in bundles of 40 ft. How much border will be leftover once Isabelle lines her garden?
Answers
Step-by-step explanation:
I guess, the flower bed is a true rectangle, right ?
so, then, the perimeter of that rectangle is
2×length + 2×width = 2×78 + 2×60 = 156 + 120 = 276 in.
1 ft = 12 in
276 in = 23 ft
she can only buy a bundle of 40 ft.
that means she will have
40 - 23 = 17 ft left.
According to a study, 72% of K-12 schools or districts in a country use digital content such as ebooks, audio books, and digital textbooks. Of these 72%, 6 out of 20 use digital content as part of their curriculum. Find the probability that a randomly selected school or district uses digital content and uses it as part of their curriculum
Answers
The probability that a randomly selected school or district uses digital content and uses it as part of their curriculum is 30%.
The probability that a randomly selected school or district uses digital content is 72%. To find the probability that a randomly selected school uses digital content and uses it as part of their curriculum, we need to divide the number of schools that use digital content and use it as part of their curriculum (6) by the total number of schools (20). This gives us 6/20 or 30%. Therefore, the probability that a randomly selected school or district uses digital content and uses it as part of their curriculum is 30%.
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Ms. McCormick keeps a rectangular recycling bin for used paper in her classroom. The area of the bottom of the bin is 400 square inches. Paper completely fills the bin to a height of 17 inches. What is the volume of paper in the recycling bin?
Answers
According to the dimensions given, the volume of paper in the recycling bin is of 6800 cubic inches.
What is the volume of a rectangular prism?It is given by the multiplication of the base area by the height, that is:
\(V = S_bh\)
In this problem, we have that the measures in square inches and inches, respectively, are given by:
\(S_b = 400, h = 17\)
Hence:
\(V = 400 \times 17 = 6800\)
The volume of paper in the recycling bin is of 6800 cubic inches.
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Answer:
6800
Step-by-step explanation:
determine whether the given value is a statistic or a parameter. a health and fitness club surveys 40
Answers
Any value calculated from this survey would be considered a statistic.
To determine whether the given value is a statistic or a parameter, consider the following:
A statistic is a numerical value calculated from a sample of the population, while a parameter is a numerical value that describes a characteristic of the entire population.
In this case, the health and fitness club surveys 40 members. This is a sample of the population, not the entire population.
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In a local soccer league there are 17 coaches and 323 players. The league commissioner wants to divide up all of the teams evenly. What ratio best represents the number of coaches to the number of players on each team?
Answers
Answer:
the ratio is 17/323 equals 19, therefore there would be 19 players per team.
A cylinder has a diameter of 12 inches at its base. The height of the cylinder is 1.25 feet. What is the volume of the cylinder in cubic inches
Answers
The volume of the cylinder is 1696.5652 cubic inches.
To calculate the volume of a cylinder, use the formula:
Volume = π × r² × h
where π is approximately 3.14159, r is the radius of the base, and h is the height of the cylinder.
Given that the diameter of the cylinder's base is 12 inches, the radius calculated as half of the diameter:
Radius = 12 inches / 2 = 6 inches
The height of the cylinder is given as 1.25 feet, but we need to convert it to inches to match the units of the radius:
Height = 1.25 feet × 12 inches/foot = 15 inches
All the values needed to calculate the volume:
Volume = 3.14159 × 6² × 15
Simplifying the expression:
Volume = 3.14159 × 36 × 15
= 1696.5652 cubic inches
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Q). If the selling price of 25 balls is equal to the cost of 15 balls, find the profit or loss percentage.
Answers
Step-by-step explanation:
Here :-
Selling price of 25 balls is equal to the Cost of 15 balls\(\begin{gathered}\end{gathered}\)
Let the cost price of one ball is ₹1. So ;-
Cost price of 25 balls = ₹25 Cost price of 15 balls = ₹15↝ Here the selling price of 25 balls is equal to the cost of 15 balls. It means C.P of 15 balls = S.P of 25 balls. So, the selling price of 25 balls is ₹15.
Loss = C.P > S.P\(\begin{gathered}\end{gathered}\)
Firstly, finding the loss :-
\({\dashrightarrow{\sf{Loss = Cost \: Price - Selling \: Price}}}\)
\({\dashrightarrow{\sf{Loss = 25 - 15}}}\)
\({\dashrightarrow{\sf{\underline{\red{Loss =Rs.10}}}}}\)
∴ The loss is Rs.10.
\(\begin{gathered}\end{gathered}\)
Now, finding the loss percentage :-
\({\dashrightarrow{\sf{Loss\: \%= \dfrac{Loss }{Cost \: Price} \times 100}}}\)
\({\dashrightarrow{\sf{Loss\: \%= \dfrac{10 }{25} \times 100}}}\)
\({\dashrightarrow{\sf{Loss\: \%= \dfrac{10 \times 100 }{25}}}}\)
\({\dashrightarrow{\sf{Loss\: \%= \dfrac{1000 }{25}}}}\)
\({\dashrightarrow{\sf{Loss\: \%=\cancel{\dfrac{1000 }{25}}}}}\)
\({\dashrightarrow{\sf{\underline{\red{Loss\: \%=40 \: \%}}}}}\)
∴ The loss percent is 40%.
\(\underline{\rule{200pt}{2.5pt}}\)
Mae Ling earns a weekly salary of $365 plus a 5.0% commission on sales at a gift shop. How much she make in a workweek if she sold $4,800 worth of merchandise?
Answers
The amount that she make in a workweek if she sold $4,800 worth of merchandise will be $605.
How to calculate the value?A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.
Here, Mae Ling earns a weekly salary of $365 plus a 5.0% commission on sales at a gift shop.
The amount that she make in a workweek if she sold $4,800 worth of merchandise will be:
= $365 + (5% × $4800)
= $605
The amount is $605.
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There are 10 employees in a particular division of a company. Their salaries have a mean of $70,000, a median of $55,000, and a standard deviation of $20,000. The largest number on the list is $100,000, by accident, this number is changed to $1,000,000. Find the value of the mean, variation and standard deviation after the change.
Answers
Given information: Number of employees (n) = 10, Mean (μ) = $70,000, Median = $55,000, Standard deviation (σ) = $20,000. The largest number on the list = $100,000. We have to find the new mean, variation, and standard deviation after the value is changed from $100,000 to $1,000,000.
Now the largest value on the list is $1,000,000, and the other nine values range from $55,000 to $100,000. So, the new mean can be calculated as follows:
New mean = [($55,000 × 4) + ($70,000 × 5) + ($100,000 × 1) + ($1,000,000 × 1)] / 10= $623,000Hence, the new mean is $623,000.Using the formula, Variance (σ²) = Σ(xi - μ)²/n, where xi = data value, μ = mean and n = number of data values.
In the previous case, variance was equal to:(20,000² + 15,000² + 10,000² + 5,000² + 0² + 5,000² + 10,000² + 15,000² + 30,000² + 30,000²)/10 = 2,100,000Now, let’s calculate the variance with $1,000,000 as the highest value.
Variance = (20,000² + 15,000² + 10,000² + 5,000² + 0² + 5,000² + 10,000² + 15,000² + 900,000² + 900,000²)/10Variance = 3,580,000,000
The new variance is 3,580,000,000.Hence, the new variance is $3,580,000,000.Now, using the formula,Standard deviation (σ) = √Variance
The old standard deviation was:σ = √(2,100,000) = $1,449.14The new standard deviation will be:σ = √(3,580,000,000) = $59,797.96Hence, the new standard deviation is $59,797.96.
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