A cone has a height of 20 millimeters and a diameter of 28 millimeters. What is its volume?
Answers
Since the diameter of the cone is 28 mm, then the radius is:
\(r=\frac{d}{2}=\frac{28}{2}=14\operatorname{mm}\)then, we have the following equation to find the volume of the cone:
\(V=\frac{1}{3}\pi\cdot r^2\cdot h\)in this case, we have the following information:
\(\begin{gathered} \pi=3.14 \\ r=14 \\ h=20 \end{gathered}\)substituting these values on the equation, we have:
\(\begin{gathered} V=\frac{1}{3}\cdot(3.14)(14)^2(20)=\frac{1}{3}\cdot(12308.8)=4102.93 \\ V=4102.93\operatorname{mm} \end{gathered}\)therefore, the volume of the cone is 4102.93mm^3
Related Questions
Jim began a 281-mile bicycle trip to build up stamina for a triathlete competition. Unfortunately, his bicycle chain broke, so he finished the trip walking. The whole trip took 7 hours. If Jim walks at a rate of 3 miles per hour and rides at 43 miles per hour, find the amount of time spent on the bicycle.
Answers
Answer:
37b was amount time biking. His distance walked was 3 times open parenthesis 7 minus b close parenthesis. Total distance was 208 miles. 37b+3 multiplied by open parenthesis seven minus b close parenthesis equals 208. Then all you have to do is solve for b
Step-by-step explanation:
please help me with theses!! need to get it done asap.
Answers
Answer:
Question 1 : Pierre is right
Question 2 : 0.85 (because 1 - 0.15 = 0.85)
Question 3 : Less than 1
Step-by-step explanation:
A market research company was interested in comparing three communities A, B and C to determine whether there are any differences in their use of water filters in homes. Each of 100 homeowners sampled from each community was asked whether or not they have installed water-filtering system in their homes. Their responses (Yes or No) are summarized in the following contingency table.
Use Filters
Community | Yes | No
A 62 38
B 58 42
C 73 27
a) Clearly state the null and alternative hypotheses in this problem.
b) Calculate the expected count for the bottom right cell (i.e., Community ‘C’ and ’No’), and explain what the number means.
c) The Chi-square statistic has been calculated to be 13.22. What can we conclude from this finding?
Answers
a) The null hypothesis is that there is no difference in the proportion of homeowners using water filters among the three communities. The alternative hypothesis is that at least one community has a different proportion of homeowners using water filters than the other communities.
b) To calculate the expected count for the bottom right cell, we can use the formula:
Expected count = (row total x column total) / grand total
The row total for Community C and the column total for No are both 100, and the grand total is 300. Therefore:
Expected count = (100 x 100) / 300 = 33.33
The expected count of 33.33 for the bottom right cell means that if there were no difference in the proportions of homeowners using water filters among the three communities, we would expect 33.33 of the 100 homeowners in Community C to answer 'No' to the question about water filters.
c) To determine what we can conclude from the Chi-square statistic of 13.22, we need to compare it to the critical value for a Chi-square distribution with (3-1) x (2-1) = 2 degrees of freedom at the desired level of significance. Let's assume a level of significance of 0.05. From a Chi-square distribution table, the critical value with 2 degrees of freedom at 0.05 level of significance is 5.99.
Since 13.22 is greater than 5.99, we can reject the null hypothesis and conclude that there is a significant difference in the proportion of homeowners using water filters among the three communities. However, we cannot determine from this test alone which communities have different proportions of homeowners using water filters. We would need to conduct further tests, such as post-hoc tests, to investigate the specific differences among the communities.
emiko makes shibori scarves and sells them for $48 each on a website for handmade goods. the expression 48s represents the total price of buying s scarves
Answers
The expression 48s represents the number of scarves (s) and its per unit (48).
What is an expression?An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Given that, Emiko makes shibori scarves and sells them for $48 each on a website for handmade goods.
Here, the expression 48s represents the total price of buying s scarves
We need to tell what 48s mean,
So,
48s here is the total cost for buying s scarves,
That mean, if we buy s scarves we will have to pay $48s
Similarly, if we will buy 4 scarves, we will pay = 48 × 4 = $192
For 10 scarves, we will pay = 48 × 10 = $480
Therefore, we can say $48 is the unit price of the scarf.
Hence, the expression 48s represents the number of scarves (s) and its per unit (48).
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The question was incomplete, so I answered for the question :-
Emiko makes shibori scarves and sells them for 48 each on a website for handmade goods the expression 48s represents the total price of buying scarves what do the parts of the expression 48s represents.
Answer:
Step-by-step explanation:
number of scarves
Price of scarves
Simplify the expression.
7- 5n + n + 5
Answers
Explanation-
Like terms
A tree is 73 inches tall. How tall is it in feet and inches?
Answers
Answer:
6 ft 1 inch
Step-by-step explanation:
We know that there are 12 inches in a foot. So we divide 73/12, which gives us 6 remainder 1. So there are 6 ft and 1 inch.
Answer:
6.08 feet
Step-by-step explanation:
converted it on a site and this was it
Carolyn is using the table to find 360% of 15. What values do X and Y represent in her table? Percent Total 100% 100% 100% 20% 20% 20% 360% X X X Y Y Y X = 2.5; Y = 2.5 X = 5; Y = 0.75 X = 15; Y = 3 X = 15; Y = 5
Answers
Answer: c
Step-by-step explanation:
Based on the percent breakdown of 360%.
100% 100% 100% 20%20%20%
15. 15. 15. 3. 3. 3.
100% is all of it, so 15. This is x.
20% of it would be calculated as 0.2 x 15 or 3. This is y.
Answer:
c
Step-by-step explanation:
How can i get help
Really need this right now
Answers
Answer:
You should try brainly tutor its free to everyone if you haven't used it before but you can only use it once. they have free online live tutors helping you and stopping when you have a question. There also really nice (LIKE REALLY)! if you really enjoy it you can buy it monthly or yearly probably I really need help but no one helped me so I just used brainly tutor and they did step by step really good you should try it if you haven't already
Thanks for reading this!
Question 1 of 5
Select the correct answer.
Function k is a transformation of the parent exponential function f. What are the domain and range of function ?
kid) = -2
Domain: {5 € R1-00
Range: {y E RI y <0}
Domain: {r €R! -
Range: {y < R.y=}
Domain: {5 € R1-00 <= coo}
Range: {y e RI-
Domain: {i e RI-00 <
Range: {y € R. y > }
Submit
Answers
Answer:
It's all in the picture. good luck :)
Step-by-step explanation:
Domain : R
Range : ( - ∞, 0)
(Refer the image attached for complete question)
We have the following function -
k(x) = \(-2^{x}\)
We have to determine its domain and range.
What do you mean by domain and range of a function?For any function y = f(x), Domain is the set of all possible values of y that exists for different values of x. Range is the set of all values of x for which y exists.
According to question, we have -
k(x) = \(-2^{x}\)
for x = 0, the function k(0) = 1
The function k(x) has the exponential function (\(e^{x}\)) as its parent function.
If we plot the graph of the function k(x), it will look like as shown in the figure attached.
The graph of the function k(x) = \(-2^{x}\) is the reflection of the graph \(2^{x}\) along x - axis.
The Domain of the function k(x) : R
The Range of the function k(x) : ( - ∞, 0)
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I need help. Please include explanation.
Answers
Answer:
0.63
Step-by-step explanation:
We have the following information:
The probability of a student being male is 0.45.
The probability of a student having a job off-campus is 0.33.
The probability of a student being male and having a job off-campus is 0.15.
Now, we want to find the probability that a student is either male or has an off-campus job.
To do this, we add the probability of being male (0.45) to the probability of having an off-campus job (0.33). However, we need to be careful not to count the students who are both male and have an off-campus job twice. So, we subtract the probability of being male and having an off-campus job (0.15) once.
By doing this, we account for all the possible cases and get the probability that a student is either male or has an off-campus job.
Calculating the values:
P(Male or Off-campus job) = P(Male) + P(Off-campus job) - P(Male and Off-campus job)
= 0.45 + 0.33 - 0.15
= 0.63
Therefore, the probability that a student chosen at random from the college is male or has an off-campus job is 0.63.
Hope this helps!
Use the information to answer the question.
Miranda is making a vegetable salad. She adds 2 cups of cucumbers, 4 cups of carrots, and some cherry tomatoes. Then, Miranda puts all of the
salad into 5 bowls. She puts cups into each bowl.
How many cups of cherry tomatoes did Miranda put in the vegetable salad? Enter the answer in the box.
cups
Answers
Answer:
Step-by-step explanation:
The equation is poorly written and I cannot unfortunately solve it.
Sears editing ‘company is a small editorial services company owned and operated by deloris Sears. On January 31, 20Y1 , the end of the current year, Sears Editing Company’s accounting clerk prepared the following unadjusted trial balance
Answers
1. Preparation of the adjusting entries for
Sears editing ‘company
Sears editing ‘company Adjusting Entries
a. Dr Insurance expense $1,800
($7,200-$5,400)
Cr Prepaid insurance $1,800
(To record insurance expense)
b. Dr Supplies expense $1,605
($1980 - $375)
Cr Supplies $1,605
(To record supplies expense)
c. Dr Depreciation expense $6,000
Cr Accumulated depreciation-building $6,000
(To record depreciation expense on building)
d. Dr Depreciation expense $3,000
Cr Accumulated depreciation-equipment $3,000
(To record depreciation expense on equipment)
e. Dr Unearned rent $5,400
($6,750-$1,350)
Cr Rent revenue $5,400
(To record rent earned from unearned rent)
f. Dr Salaries and wages expense $2,900
Cr Salaries and wages payable $2,900
(To record salaries and wages expense)
g. Dr Accounts receivable $18,600
Cr Fees earned $18,600
(To record accrued revenue)
2. Preparation of an adjusted trial balance.
Sears editing ‘Company Adjusted Trial balance
Debit side
Cash $7,500
Account Receiveble $57,000
Prepaid Insurance $5,400
Supplies $375
Land $112,500
Building $150,250
Equipment $135,300
Drawing $15,000
Salaries and wages expense $196,270
Utilities expense $42,375
Advertising expense $22,800
Repair expense $17,250
Depreciation expense-Building $6,000
Depreciation expense-Equipment $3,000
Insurance expense $1,800
Supplies expense $1,605
Miscellaneous expense $6,075
Total Debit side $780,500
Credit side
Accumulated Depreciation-Building $93,550
Accumulated Depreciation-Equipment $100,950
Account payable $12,150
Unearned rents $1,350
Salaries and wages payable $2,900
Capital stock $221,000
Fees earned $343,200
Rent revenue $5,400
Total Credit side $780,500
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The following selected information was extracted from the records of B Solomon.
1. B Solomon, the owner of Solomon Traders, bought a new Machine for R250 000 on 1 July 2013.
2. On 1 October 2014, he purchased a second Machine for R350 000 cash.
3. On 30 June 2015, the Machine bought during 2013 was sold for R120 000 cash.
4. It is the business’ policy to depreciate Machines at 20% per annum on cost.
REQUIRED:
Prepare the following ledger accounts reflecting all applicable entries, in the books of Solomon Traders, properly balanced/closed off, for the years ended 31 March 2016:
1.1. Accumulated depreciation.
1.2. A Machines realisation.
NB: Show all calculations as marks will be awarded for calculations.
Answers
1.1. Accumulated depreciation:
The accumulated depreciation for the machine bought on 1 July 2013 would be R150,000 as of 31 March 2016.
1.2. Machine realization:
The machine bought in 2013 was sold for R120,000 on 30 June 2015, resulting in a profit/loss on the sale of R10,000.
1.1. Accumulated Depreciation:
To calculate the accumulated depreciation, we need to determine the annual depreciation expense for each machine and then accumulate it over the years.
Machine bought on 1 July 2013:
Cost: R250,000
Depreciation rate: 20% per annum on cost
Depreciation expense for the year ended 31 March 2014: 20% of R250,000 = R50,000
Depreciation expense for the year ended 31 March 2015: 20% of R250,000 = R50,000
Depreciation expense for the year ended 31 March 2016: 20% of R250,000 = R50,000
Accumulated depreciation for the machine bought on 1 July 2013:
As of 31 March 2014: R50,000
As of 31 March 2015: R100,000
As of 31 March 2016: R150,000
1.2. Machine Realisation:
To record the sale of the machine bought in 2013, we need to adjust the machine's value and the accumulated depreciation.
Machine's original cost: R250,000
Accumulated depreciation as of 30 June 2015: R100,000
Net book value as of 30 June 2015:
R250,000 - R100,000 = R150,000.
On 30 June 2015, the machine was sold for R120,000.
Realisation amount: R120,000
To record the sale:
Debit Cash: R120,000
Debit Accumulated Depreciation: R100,000
Credit Machine: R250,000
Credit Machine Realisation: R120,000
Credit Profit/Loss on Sale of Machine: R10,000 (difference between net book value and realisation amount).
These entries will reflect the appropriate balances in the ledger accounts and properly close off the accounts for the years ended 31 March 2016.
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A dairy farmer wants to mix a 70% protein supplement and a standard 20% protein ratio to make 1900 pounds of a high grade 55% protein ration how many pounds of each should he use
Answers
The dairy farmer should use 1330 pounds of the 70% protein supplement and 570 pounds of the 20% protein ratio to make a 1900-pound high-grade 55% protein ration.
To determine the amounts of the 70% protein supplement and the 20% protein ratio needed to make a 1900-pound high-grade 55% protein ration, we can set up a system of equations.
Let's assume x represents the pounds of the 70% protein supplement and y represents the pounds of the 20% protein ratio.
The total weight equation is given by:
x + y = 1900
The protein content equation is given by:
(0.70x + 0.20y) / 1900 = 0.55
Simplifying the second equation, we get:
0.70x + 0.20y = 0.55 × 1900
0.70x + 0.20y = 1045
Now, we can solve this system of equations to find the values of x and y.
Rearrange the first equation to solve for x:
x = 1900 - y
Substitute this expression for x in the second equation:
0.70(1900 - y) + 0.20y = 1045
1330 - 0.70y + 0.20y = 1045
1330 - 0.50y = 1045
-0.50y = 1045 - 1330
-0.50y = -285
y = -285 / -0.50
y = 570
Now substitute this value of y back into the first equation to find x:
x + 570 = 1900
x = 1900 - 570
x = 1330
Therefore, the dairy farmer should use 1330 pounds of the 70% protein supplement and 570 pounds of the 20% protein ratio to make a 1900-pound high-grade 55% protein ratio.
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Solve the sytem below using elimination
2x - 4y = 10
X + 5y = 40
Answers
Add -2 (second equation) to the first equation to eliminate x :
(2x - 4y) + (-2) (x + 5y) = 10 + (-2) • 40
(2x - 4y) + (-2x - 10y) = 10 - 80
-14y = -70
y = 5
Plug this into either equation (I'll use the second) to solve for x :
x + 5y = 40
x + 5 • 5 = 40
x + 25 = 40
x = 15
The size of fish is very important to commercial fishing. A study conducted in 2012 found the length of Atlantic cod caught in nets in Karlskrona to have a mean of 49.9 cm and a standard deviation of 3.74 cm.
Round the probabilities to four decimal places.
It is possible with rounding for a probability to be 0.0000..
c) Find the probability that a randomly selected Atlantic cod has a length of 53.68 cm or less.
this my homework problem
Answers
The probability that a randomly selected Atlantic cod has a length of 53.68 cm or less is given by the equation P ( x < 53.68 ) = 0.8439
What is a z-score?The relationship between a value and the mean of a set of values is expressed numerically by a Z-score. The Z-score is computed using the standard deviations from the mean. A Z-score of zero indicates that the data point's score and the mean score are identical.
The Z-score is calculated using the formula:
z = (x - μ)/σ
where z: standard score
x: observed value
μ: mean of the sample
σ: standard deviation of the sample
Given data ,
Let the probability that a randomly selected Atlantic cod has a length of 53.68 cm or less be represented as P
Now , the equation will be
The observed value of x = 53.68 cm
The mean of the sample μ = 49.9 cm
The standard deviation of the sample σ = 3.74 cm
Now , z-score is calculated using the formula:
z = (x - μ)/σ
Substituting the values in the equation , we get
z = ( 53.68 - 49.9 ) / 3.74
z = 1.0107
Now ,the p value from the z table is
P ( x < 53.68 ) = 0.84392
And , the probability is P ( x < 53.68 ) = 84.392 %
Hence , the probability is 84.392 %
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SHOW WORK, PLEASE!?!
HURRY ASAP, if you are not going to help me don't open it.
GREAT ANSWERS ONLY!
Answers
Answer: D. 94
Step-by-step explanation:
There are 48 people coming to a family reunion. One fourth of them live out of state. How many live in-state?
Answers
Step-by-step explanation:
1/4×48
=12
So if 12people are out of state
48-12=36,is the number of people living in the state
Arms Race. A simplified mathematical model for anarms race between two countries whose expenditures fordefense are expressed by the variables x1t2 and y1t2 is:___________
Answers
Answer:
hello your question is incomplete attached below is the complete question
answer : The speed of e^-5t is faster and approaches infinity faster than e^t this is because as t → ∞ , e^-5t approaches 0 and e^t remains constant which simply shows that X and Y are constants when t → ∞
Step-by-step explanation:
attached below is a detailed solution of the problem
The speed of e^-5t is faster and approaches infinity faster than e^t this is because as t → ∞ , e^-5t approaches 0 and e^t remains constant which simply shows that X and Y are constants when t → ∞
A marathon is 26.2 miles long. There is a water station every 1 1/4 miles along the race route. How many water stations are needed for this marathon?
Answers
Answer:
21
Step-by-step explanation:
Divide 26.2 by 1 1/4
The number of water stations needed for this marathon will be 20.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
A marathon is 26.2 miles long. There is a water station every 1 1/4 miles along the race route.
Convert the mixed fraction number into a decimal number. Then we have
1 1/4 miles = 1 + 1/4
1 1/4 miles = 1 + 0.25
1 1/4 miles = 1.25 miles
The number of water stations needed for this marathon will be
Let x be the number of water stations. Then the inequality is given as,
x < 26.2 / 1.25
x < 20.96
The number of water stations needed for this marathon will be 20.
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-4x=16 what is x in the equation
Answers
Answer: x=-4
Step-by-step explanation:
-4x=16
Divide by -4 on each side to cancel it out
x=-4
Solve for y. 2(y-2) -6y=-28
Answers
Answer:
y = -8
Step-by-step explanation:
2(y-2)- 6y-28 = 0
2y - 4 -6y - 28 = 0
-4y = 32
y = -8
The product of powers law of exponents states to keep the ______ then _______ the powers.
A. base. A. add
B. coefficient B. subtract
C. exponent C. multiply
Answers
someone please help me answer this!!
Answers
Answer:
7.8 mi is the answer.
Step-by-step explanation:
a = 6 mi
b = 5 mi
c = ?
According to the Pythagorean theorem,
a² + b² = c²
6² + 5² = c²
36 + 25 = c²
c² = 61
c = 7.810
Round to the nearest tenth,
c = 7.8 mi
The length of a rectangle is twice its width. Find its lenght and width, if its perimeter is 7 1/3 cm.
Answers
The length of the rectangle is twice its width. If its perimeter is 7 1/3 cm, its length will be 22/9 cm, and the width is 11/9 cm.
Let's assume the width of the rectangle is "b" cm.
According to the given information, the length of the rectangle is twice its width, so the length would be "2b" cm.
The formula for the perimeter of a rectangle is given by:
Perimeter = 2 * (length + width)
Substituting the given perimeter value, we have:
7 1/3 cm = 2 * (2b + b)
To simplify the calculation, let's convert 7 1/3 to an improper fraction:
7 1/3 = (3*7 + 1)/3 = 22/3
Rewriting the equation:
22/3 = 2 * (3b)
Simplifying further:
22/3 = 6b
To solve for "b," we can divide both sides by 6:
b = (22/3) / 6 = 22/18 = 11/9 cm
Therefore, the width of the rectangle is 11/9 cm.
To find the length, we can substitute the width back into the equation:
Length = 2b = 2 * (11/9) = 22/9 cm
So, the length of the rectangle is 22/9 cm, and the width is 11/9 cm.
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The original price of a bicycle is $129. The sale price is 80% off of the
original price. What is the amount off of the original price?
Answers
Answer:
$103.20
Step-by-step explanation:
You need to figure out what 80% of 129 is, and all you need to do that is 80% x 129, which would get you 103.2. It is $103.20 off the original price.
Maurice was promised 20% of the money made from the fishing trip by his boss. The total amount
made was $4200. How much money will Maurice's boss keep?
Answers
Answer:
840
Step-by-step explanation:
4200 ÷ 20 = 840..........
I have added a screenshot.
Answers
Answer:
none of the above
Step-by-step explanation:
what is the value of xy/w if x=-3, y=4 and w= -6. A. 2 B. -2 C. 1/2 D. -1/2
Answers
Answer:
A. 2Step-by-step explanation:
Put x = -3, y = 4 and w = -6 to the expression xy/w = (xy) : w
(-3 · 4) : (-6) = -12 : (-6) = 2
if m this is so confusing
Answers
BDC = 235