Total surface area of cone is 176π
Explanation:
Surface area of curved surface of a cone is give by π⋅r.l , where r is the radius and l is the slant height of the cone.
Hence surface area of curved surface of a cone is π×8×14=112π .
As surface area of base is π×82=64π .
Hence total surface area is 112π+64π=176π
The surface area of the given cone is 552.64 units²
What is surface area?The surface area of a solid object is a measure of the total area that the surface of the object occupies.
Given that, a cone has a radius of 8 and slant height of 14 units, we need to find its surface area,
The surface area of cone = π ·r²+ π·r·l, where l is the slant height,
So,
SA = (3.14 × 8²) + (3.14 × 8 × 14)
= 200.96 + 351.68
= 552.64
Hence, the surface area of the given cone is 552.64 units²
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[tex]5x-3x^{3}+1+6x^{2}[/tex]
Answer:
-32
Step-by-step explanation:
but I'm not that sure
What is the statement for step 3?
A. LA congruent to PC
B. angle L congruent to angle P
C. CA congruent to CA
D. CL congruent to PC
Answer: moles gastronomy
Step-by-step explanation: oioiooi Baka
Answer:
4g
Step-by-step explanation:
Blue Star is starting a new distribution service that delivers auto parts to the service departments of auto dealerships in the local area. Blue Star has found two light-duty trucks that would do the job well, so now it needs to pick one to perform this new service. The Ford TriVan costs $28,000 to buy and uses regular unleaded gasoline, with an average fuel efficiency of 24 miles per gallon. The TriVan has an operating cost of $.20 per mile. The Honda CityVan, a hybrid truck, costs $32,000 to buy and uses regular unleaded gasoline and battery power; it gets an average of 37 miles per gallon. The CityVan has an operating cost of $.22 per mile. The distance traveled annually is estimated to be 22,000 miles, with the life of either truck expected to be 8 years. The average gas price is $4.25 per gallon.
Required:
a. Based on life cycle cost, which model truck is the best choice?
b. How many miles does Blue Star need to put on a truck for the costs to be equal?
c. What is the crossover point in years?
Answer:
Blue Star
a. The Ford TriVan The Honda CityVan
Total life-cycle costs $94,368 $90,936
Based on life cycle cost, the Honda CityVan is the best choice.
b. Blue Star needs to put on the Ford TriVan 9,032 miles more for the cost to be equal with the Honda CityVan's.
c. The crossover point in years = 5 months
Step-by-step explanation:
a) Data and Calculations:
The Ford TriVan The Honda CityVan
Purchase costs $28,000 $32,000
Fuel efficiency per gallon 24 miles 37 miles
Operating cost per mile $0.20 $0.22
Total operating costs $4,400 $4,840
Estimated annual distance 22,000 miles 22,000 miles
Gallons of fuel consumed 916.7 (22,000/24) 594.6 (22,000/37)
Total cost of fuel $3,896 $2,527
Fuel cost per mile $0.18 $0.115
Total cost per mile $0.38 $0.335
Expected life of truck 8 years 8 years
Average gas price = $4.25 per gallon
Total costs:
The Ford TriVan The Honda CityVan
Annual costs:
Total operating costs $4,400 $4,840
Total cost of fuel $3,896 $2,527
Annual costs $8,296 $7,367
Life cycle costs:
Annual costs for 8 years $66,368 $58,936
Purchase costs $28,000 $32,000
Total life-cycle costs $94,368 $90,936
Difference in costs between Ford TriVan and Honda CityVan = $3,432 ($94,368 - $90,936)
Miles to put on the Ford TriVan for the life cycle cost to be equal to the life cycle cost of the Honda CityVan
= Difference in costs divided by total cost per mile of the Ford TriVan
= 9,032 miles ($3,432/$0.38)
Annual distance = 22,000 miles
Monthly distance = 1,833 miles
9,032/1,833 = 4.93 months or 5 months approximately
A 12 sided solid has equal-sized faces numbered 1 to 12 Find the the Probability number less than 5?
Of the numbers 2, 3, or 4, which is a solution of the inequality x - 1 > 2?
Answer:
4
Step-by-step explanation:
x-1 must be greater than 2.
2-1 is lesser than 2.
3-1 is equal to 2.
4-1 is greater than 2, so the answer is 4.
I need help with this no scam bot and link answers please
Answer:
x is not equal to 4
Step-by-step explanation:
all you have to do is subtract the 3 carry the 5 add the extra 20 and then minus 23
linear equation 2x + y = 3?
Answer:
Yes,Linear
Step-by-step explanation:
Find the degree of the equation to determine if linear.
2(2x-6) = 28 solve....
Answer:
Step-by-step explanation:
simplify
4x-12=28
4x=40
x=10
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Ethan planted a tree that was 1.85 meters tall. several years later, the tree is 5.30 meters tall. which equation can be used to find x, the number of meters the tree has grown?
Answer:
x+1.85 = 5.30
Step-by-step explanation:
HELP ASAPP! WILL GIVE MOST BRAINILIST
Answer:
6/7 or 85.7%Step-by-step explanation:
As per table experimental probability of sum of two numbers > 5 is 6 out of 7.
So in number, the probability is:
p = 6/7 or 85.7%What is the main problem with this paragraph
Thesis statement: Stores that resell used video games should offer at least 30 percent of the sale price to sellers.
Main points:
More people will sell used games.
More people will buy new games.
The store will make money.
Conclusion: It just makes sense that happy sellers will sell back more used games They'll also be willing to buy more new games, knowing they can sell them back for a good price. This will all lead to more profit for the store. It is a problem that has a simple solution that will benefit everyone involved.
A. It does not restate the thesis.
B. It does not have a satisfying close.
C. It adds new information.
D. It is missing one of the main points
Answer:
A
Step-by-step explanation:
It never restates the thesis, in which you are required to in anything resembling a formative, constructed response, or an essay.
Select all the expressions that are the result of decreasing x by 80%
Please use the photo, also please don't give me a file cause I know it's a virus
Answer:
A,B,E or 1,2,5
if its letters or numbers.
Step-by-step explanat
The expressions that are the result of decreasing x by 80% will be (1 - 0.80)x, x - (80/100)x, and (20/100)x. Then the correct options are A, C, and E.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.
The expressions that are the result of decreasing x by 80%.
We know that if something is decreased by a percentage p% then the percentage is written as (1 - p%). Then the expression is written as,
⇒ [(100 - 80) / 100]x
Then the expression can be written as,
⇒ [(100 - 80) / 100]x
⇒ x - (80/100)x
⇒ x - 0.80x
⇒ (1 - 0.80)x
⇒ 0.20x
⇒ (20/100)x
The expressions that are the result of decreasing x by 80% will be (1 - 0.80)x, x - (80/100)x, and (20/100)x. Then the correct options are A, C, and E.
More about the percentage link is given below.
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Verify the identities by working down one side of the identity or the other, or both sides of the identity.
PLEASE HELP ME I NEED THIS TEST DONE QUICKLY!!!!!
Answer: Photo math will do it in 2.5 secon
ds
Step-by-step explanation:
what is a diagonal through the interior of the cube?
Answer:
A cube has 6 faces and on each face there are two diagonals joining nonadjacent vertices and there are 4 diagonals through the interior of the cube. Thus in total there are 6×2+4=16 diagonals in a cube. In this cube, the diagonals through the interior of the cube are. AH, CF, DE and BG.
Step-by-step explanation:
Who can help me with a math problem please
Please answer 9 and 11
Answer:
9. 3x+11+25=90 90-36=54 54/3=x x=18
11. 45+3x=180, 180-45=135, 3x=135, 135/3=45 x=45
Hwhhehehebehehehejensnsnsnsnsne
Answer:
djdmfkdkdjdj
Step-by-step explanation:
jfjffmfkdnfjdjdndkd
A check cashing service found that approximately 5% of all checks submitted to the service were fraudulent. After instituting a check-verification system to reduce its losses, the service found that only 45 checks out of a random sample of 1124 were fraudulent. Does this sample provide sufficient evidence at the .01 significance level that the check verification system is effective
Answer:
Pvalue of the test is 0.0618 > 0.01, which means that this sample does not provide sufficient evidence at the .01 significance level that the check verification system is effective.
Step-by-step explanation:
A check cashing service found that approximately 5% of all checks submitted to the service were fraudulent.
This means that the null hypothesis is:
[tex]H_{0}: p = 0.05[/tex]
Test if the check verification system is effective:
If it is effective, the proportion will decrease, so we are going to test if after the change the proportion is lower than 0.05, that is:
[tex]H_{a}: p < 0.05[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.05 is tested at the null hypothesis:
This means that
[tex]\mu = 0.05[/tex]
[tex]\sigma = \sqrt{0.05*0.95}[/tex]
After instituting a check-verification system to reduce its losses, the service found that only 45 checks out of a random sample of 1124 were fraudulent.
This means that [tex]n = 1124, X = \frac{45}{1124} = 0.04[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.04 - 0.05}{\frac{\sqrt{0.05*0.95}}{\sqrt{1124}}}[/tex]
[tex]z = -1.54[/tex]
Pvalue of the test and decision:
Probability of finding a sample proportion lower than 0.04, which is the pvalue of z = -1.54.
Looking at the z-table, z = -1.54 has a pvalue of 0.0618.
Pvalue of the test is 0.0618 > 0.01, which means that this sample does not provide sufficient evidence at the .01 significance level that the check verification system is effective.
steps to solve:
-8+(sqrt(5a-5))=-3
Answer:
a = 6
Step-by-step explanation:
Given:
[tex]-8 + \sqrt{5a-5} = -3[/tex]
Assuming that the goal is to solve for a, we should aim to isolate a using a backwards process.
First step: add 8 to both sides, resulting in:
[tex]\sqrt{5a-5} = 5[/tex]
Second step: Next we need to square both sides, getting us:
[tex]5a - 5 = 25[/tex]
Third step: We now can add 5 to get an isolated monomial:
[tex]5a = 30[/tex]
Fourth Step: Finally, divide by 5 to get:
[tex]a = 6[/tex]
1.Which is greater 2/4 or ¼?
2.Which is the least 3/6 or 3/7?
3.Which is greater 7/21 or ⅓ ?
HELPPPP PLEASE, IF YOU GIVE ME AN ANSWER GARBAGE I WILL REPORT YOU
THANK, :)
There were 13 students in line at a drinking fountain. 8 of the students were girls and the rest were boys. What was the ratio of girls to boys in the line?
A pair of dice is rolled. Find the probability of rolling a sum not less than 11
Answer:
dos dados con seis o un dado con 5 y otro con 6
Step-by-step explanation:
Answer:
1/12
Step-by-step explanation:
0_____________________________________0
The face says brainliest please!
Suppose that the weights of 3200 registered female Great Danes in the United States are
distributed normally with a mean of 115 lb. and a standard deviation of 5.4 lb.
Approximately how many of the Great Danes weigh more than 125.8 lbs.? Round to the nearest
whole number.
Answer:
794
Step-by-step explanation:
125.8•5.5+115
679.3+115
794
I hope this helps you
Approximately 73 Great Danes weigh more than 125.8 lbs.
Mean [tex]\mu[/tex]=115 lb.
Standard deviation [tex]\sigma[/tex] =5.4 lb.
What is a z-score?Z-score depicts how much a given value differs from the standard deviation.
[tex]z=\frac{x-\mu}{\sigma}[/tex]
[tex]z=\frac{125.8-115}{5.4}[/tex]
[tex]z=2[/tex]
From the standard normal table P-value corresponding to z=2 i.e. P(x>125.8) = 0.02275
Total population =3200
3200*0.02275 = 72.8 ≈73
Thus, approximately 73 Great Danes weigh more than 125.8 lbs.
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An engineer is designing a new smartphone. The company wants to keep of the weight finished product below 12 ounces. After finishing his design, he realizes he forgot to include eight 1/6 oz screws. If the weight before adding the screws is 10 1/2 oz, will the design be within the desired weight limit? Explain.
9514 1404 393
Answer:
yes
Step-by-step explanation:
10 1/2 + 8×(1/6) = (10 3/6) + (1 2/6) = 11 5/6 < 12
The weight with the added screws is still below 12 ounces.
Answer:
we have
10 1/2 + 8×(1/6) = (10 3/6) + (1 2/6) = 11 5/6 <12
The weight with the added screws is still below 12 ounces.
yes the design be within the desired weight limit
The sales tax rate is 5%. If Tucker buys a set of golf clubs priced at $245.00, what will be the total cost including tax?
5% of 245 is 12.25
245+12.25= 257.25
$257.25
how many 3/5 are in 5
Answer: the answer is 1.6 or 0.6.
Answer:
8⅓
Step-by-step explanation:
divide 5 by (3/5). To divide by a fraction, flip the fraction and multiply. Make the 5 into a fraction by putting a '1' underneath:
(5/1)(5/3) = 5x5/1x3 = 25/3 = 8⅓
You can take 3/5 away from 5, 8⅓times
I need help with this question
Answer:
A would be the answer
Step-by-step explanation:
Hope it was helpful .
the probabilities that amy and tess will arrive at party on time are 2/3 and 3/4 respectively. Find the probability that a. amy will arrive on time while tess is not
Answer:
1/6
Step-by-step explanation:
Probability that any arrives on time = 2/3
Probability that teaa arrives on time = 3/4
Probability that teas will not arrive in time = 1 - P(tess arrives on time) = 1 - 3/4 = 1/4
Hence,
The probability that Amy arrives in time and tess does not equals
2/3 * 1/4 = (2*1) / (3*4) = 2 / 12 = 1/6
Using it's concept, it is found that there is a 0.1667 = 16.67% probability that Amy will arrive on time while Tess will not.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem:
The probability that Amy arrives on time is of 2/3.The probability that Tess does not arrive on time is of 1/4.Since they are independent, we multiply them, hence:
[tex]P = \frac{2}{3} \times \frac{1}{4} = \frac{2}{12} = 0.1667[/tex]
0.1667 = 16.67% probability that Amy will arrive on time while Tess will not.
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plssss help its due in ten mins
Answer:
i dont know
Step-by-step explanation:
Skylar goes to a school which has 1000 students in it.She asks 40 random students whether they like the new 8.30 am start to the day. 30 of them say ‘no’ they do not like it. Use this information to estimate how many students in the whole school dislike the 8.30 am start
Answer:
Step-by-step explanation:
30 out of 40 could be used to estimate that 750 out of 1000 would say 'no'
30/40 equals 3/4
3/4 of 1000 is 750
