Answers
Answer:
A.v=п*1/4*S^3
Step-by-step explanation:
the formula for the volume of a cylinder is v=п*r^2*h. here r=d/2=S/2 so r^2=S^2/4. h is the same lenght as the side of the cube so h=s. and then you just have to substitute r and s in the formula
Answer:
v = π S³ / 4
Step-by-step explanation:
r = cylinder's radius
A = cylinder base area
h = cylinder's height
v = cylinder's volume
r = S / 2
h = S
Cylinder base area
Formula:
A = r²π
A = (S / 2)²π
A = (S² / 4)π
A = π S² / 4
Cylinder's volume
Formula:
v = Ah
v = (π S² / 4)S
v = π S³ / 4
Related Questions
Which of these integrals is equivalent to the given integral?
∫ x^3/(√9x^4+6x^2-1) dx
a. ∫ x^3/(3x^2+1) dx
b. 1/6 ∫ √ secθ-1 /√2tanθ dθ
Answers
Answer:
[tex]\mathbf{\int \dfrac{x^3}{\sqrt{9x^4+ 6x^2 -1}} dx \ \ is \ \ equivalent \ \ to \ \ \dfrac{1}{18} \int ( \sqrt{2}* sec^2 \theta - sec \theta) d\theta}[/tex]
Step-by-step explanation:
[tex]\int \dfrac{x^3}{\sqrt{9x^4+ 6x^2 -1}} dx = \int \dfrac{x^3 \ dx}{\sqrt{(3x^22)^2 + 2(3x^2) (1) + 1-2}}[/tex]
[tex]\implies \int\dfrac{x^3 \ dx}{\sqrt{(3x^2 +1)^2-2}}[/tex]
let;
[tex]3x^2 + 1 = \sqrt{2}\ sec \theta[/tex]
[tex]6xdx = \sqrt{2} sec \theta tan \theta \ d \theta[/tex]
[tex]xdx = \dfrac{\sqrt{2}}{6} sec \theta tan \theta \ d \theta[/tex]
[tex]\implies \int\dfrac{x^2*x \ dx}{\sqrt{2 \sec^2 \theta -2}}[/tex]
[tex]\implies \int\dfrac{\dfrac{1}{3}(\sqrt{2} \ sec \theta - 1)*\dfrac{\sqrt{2}}{6} sec \theta tan \theta \ d\theta }{\sqrt{2 } \ tan \theta }[/tex]
[tex]\implies \dfrac{1}{18} \int ( \sqrt{2}* sec \theta - 1) \ sec \theta d \theta[/tex]
[tex]\implies \dfrac{1}{18} \int ( \sqrt{2}* sec^2 \theta - sec \theta) d\theta[/tex]
∴
[tex]\mathbf{\int \dfrac{x^3}{\sqrt{9x^4+ 6x^2 -1}} dx \ \ is \ \ equivalent \ \ to \ \ \dfrac{1}{18} \int ( \sqrt{2}* sec^2 \theta - sec \theta) d\theta}[/tex]
Ayush scored 720 marks out of900. And his brother scored 630 out of 700. whose perfomance is better
Answers
Answer:
in my opinion anush has the better performance
(720/900) x 100
0.8 x 100
80%
His brother:
(630/700) x 100
0.9 x 100
90%
His brothers performance is better
A function is a rule that assigns each ____ exactly one ____.
Answers
Answer:
I found two answers for this question. A function is a rule that assigns to each value of one variable (called the independent variable) exactly one value of another variable (called the dependent variable.) A function is a rule that assigns to each input value a unique output value.
Step-by-step explanation:
I found two answers for this question. A function is a rule that assigns to each value of one variable (called the independent variable) exactly one value of another variable (called the dependent variable.) A function is a rule that assigns to each input value a unique output value.
One number is 7 more than 3 times another number. Their sum is 63. Find
the SMALLER number.
PLEASE THIS IS URGENT
Answers
Answer: 3x+7=a
a+X=63 a=63-x
Substitute into first formula
3x+7=63-x
4x=56
X=
26/2
X=13
A=50
Plug-in answers to check my work
50=3*13+7 46 not equal to 50
Post question on brainly
Phone sux
Step-by-step explanation:
The smaller number is 14 and the bigger number is 49.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
One number is 7 more than 3 times another number. Their sum is 63.
Let the one number be x and the other number be y. Then the equation will be
x = 3y + 7 ...1
x + y = 63 ...2
From equations 1 and 2, then the value of the variables x and y will be
3y + 7 + y = 63
4y = 63 - 7
4y = 56
y = 14
Then the value of the variable x will be
x = 3 × 14 + 7
x = 42 + 7
x = 49
The smaller number is 14 and the bigger number is 49.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
The hanger image below represents a balanced equation
Select the equation that represents the image.
Answers
Answer: B
Step-by-step explanation:
what is the expressions factor for -12x+24-18y?
Answers
Answer:
-6(2x - 4 + 3y)
Step-by-step explanation:
The first step is to find the greatest common factor of -12, 24, and -18.
This would be -6.
Your new expression is -6(2x - 4 + 3y).
Answer:
6(4-3y)
Step-by-step explanation:
4a+2(b+5a)+7 Answer with work I would really like it if the work was written if no that is ok ANSWER ASAP
Answers
Answer:
Step-by-step explanation:
4a+2(b+5a)+7
4a+2b+10a+7
4a+10a+2b+7
14a+2b+7
A Statistics class has an enrollment of 300. Out of these, 95 are taking the Actuarial Statistics major, 120 are Data Science majors, 80 are Financial Math majors and 5 are Undecided. Find the probability that a student in the class chosen at random is neither an Actuarial Statistics nor a Data Science major
Answers
Answer:
0.2833 = 28.33% probability that a student in the class chosen at random is neither an Actuarial Statistics nor a Data Science major
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question, we have that:
There are 300 students.
80 + 5 = 85 are not Actuarial statistics or data science majors. So
[tex]\frac{85}{300} = 0.2833[/tex]
0.2833 = 28.33% probability that a student in the class chosen at random is neither an Actuarial Statistics nor a Data Science major
Write "eleven and seven hundred seven ten-thousandths" as a decimal.
Answers
The given expression as a decimal is 11.717
A decimal is a standardized system of writing numbers that include the expression of both integers and non-integers numbers.
In the given question, we are to write the expression:
eleven and seven hundred seven ten-thousandths as a decimalIn figures, we have:
11 and 717 thousandthsThe 717 thousandths can be expressed as 0.717 in decimal
Now, the addition of both is:
11 + 0.717 = 11.717Learn more about decimals here:
https://brainly.com/question/703656
Answer:
11.0707
Step-by-step explanation:
We use the word "and" to represent a decimal point. The words before "and" translate to 11 so we write 11 to the left of the decimal point.
11.
The place value indicated by the last word is the ten-thousandths place, so we should mark off four spaces to the right of the decimal point.
11.
The words to the right of "and" translate to 0707. Placing the digits of 0707 into the spaces, with the final digit in the last place, and filling in the empty spaces with zeros gives
11.0−−−7−−−0−−−7−−−,
so eleven and seven hundred seven ten-thousandths is written 11.0707.
A sample of 18 small bags of the same brand of candies was selected. Assume that the population distribution of bag weights is normal. The weight of each bag was then recorded. The mean weight was 3 ounces with a standard deviation of 0.15 ounces. The population standard deviation is known to be 0.1 ounce.
A.
1. bar x =____.
2. sx =____.
B. In words, define the random variable .
C. In words, define the random variable .
D. Which distribution should you use for this problem? Explain your choice.
E. Construct a 90 confidence interval for the population mean weight of the candies.
i. State the confidence interval.
ii. Sketch the graph.
iii. Calculate the error bound.
F. Construct a 98 confidence interval for the population mean weight of the candies.
i. State the confidence interval.
ii. Sketch the graph.
iii. Calculate the error bound.
G. In complete sentences, explain why the confidence interval in part f is larger than the confidence interval in part e.
H. In complete sentences, give an interpretation of what the interval in part f means.
Answers
Answer:
a)
i. x=- - - - - -
ii. o=- - - - - -
iii. Sx=- - - - -
b) The random variable X signifies the weights of the bags of candies which are selected at random.
c) The statistics variable X is a measure on a sample that is used as an estimate of the population mean.X is the mean weight of the 16 bags of candies that were selected.
d) The distribution needed for this problem is normal distribution with parameters because the population standard deviation is known.
N(X, o/[tex]\sqrt{n}[/tex])
So, the distribution is
N(2, 0.12/[tex]\sqrt{16}[/tex])
e)
i. The 90% confidence interval for the population mean weight of the candies is 1.9589 , 2.0411
iii. The error bound is 0.0411
f)
i. The 98% confidence interval for the population mean weight of the candies is 1.9418 , 2.0582
iii. The error bound is 0.0582
g) The difference in the confidence intervals in part (f) and part (e) is of the level of confidence. The change is, the change in the area being calculated for the normal distribution. Therefore, the larger confidence level results in larger area and larger interval.
Hence the interval in part is larger than the one in part (e).
h) The interval in part (f) signifies that with 98% confidence that the population mean weight of the bag of candies lies between 1.942 ounce and 2.058 ounce.
Step-by-step explanation:
a)
i. x=- - - - - -
ii. o=- - - - - -
iii. Sx=- - - - -
b) The random variable X signifies the weights of the bags of candies which are selected at random.
c) The statistics variable X is a measure on a sample that is used as an estimate of the population mean.X is the mean weight of the 16 bags of candies that were selected.
d) The distribution needed for this problem is normal distribution with parameters because the population standard deviation is known.
N(X, o/[tex]\sqrt{n}[/tex])
So, the distribution is
N(2, 0.12/[tex]\sqrt{16}[/tex])
e)
i. The 90% confidence interval for the population mean weight of the candies is 1.9589 , 2.0411
iii. The error bound is 0.0411
f)
i. The 98% confidence interval for the population mean weight of the candies is 1.9418 , 2.0582
iii. The error bound is 0.0582
g) The difference in the confidence intervals in part (f) and part (e) is of the level of confidence. The change is, the change in the area being calculated for the normal distribution. Therefore, the larger confidence level results in larger area and larger interval.
Hence the interval in part is larger than the one in part (e).
h) The interval in part (f) signifies that with 98% confidence that the population mean weight of the bag of candies lies between 1.942 ounce and 2.058 ounce.
Plz help me and this is 7th grade math
Answers
Answer:
I only know that Y equals 27
Step-by-step explanation:
because the side its Y
Answer:
y= 27 and x= 63
Step-by-step explanation:
for y its is 27 because the other one is 27 and they are the same angle and x=
63 because a straight line=180 and then there are two 27 angles and you add 27+27=54 then that by 180 180-54=126 the divide it by 2=63 because there are two of that same angle
Pls help I need help
Answers
Answer:
3:2
40
20
Step-by-step explanation:
Answer:
Ratio of the girls to boys is 3 : 2.Let the number of boys and girls be 3x and 2x.
3x+2x=60=> 5x=60=> x=12
The number of girls are 3×12= 36.The number of boys are 2×12= 24.Aide oplied the distributive property to write the event expressions below
15.21 - 30
What is Ada's stor?
Aida used as the factor, which is not common to 15 und 21
Aida did not correctly divide by the common factor to get
Ada did not apply the corect operations to the expression
Aide wrote to expressions that we not quivalent
Answers
Answer:
Aida did not correctly divide by the common factor to get (4 + 8).
She should have written: (5 + 7)
It would look like this: 15 + 21 = 3(5 + 7)
This make both sides equivalent: 15 + 21 = 15 + 21 Yay!
Hope this helps!
In a sale, normal prices are reduced by 10%.
David bought a pair of trainers in the sale for £36.
What was the original price of the trainers?
Answers
Pleaseeeeee helppppppp
Answers
Answer:
8 x 3 = 24 divided by 2 is 12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
1/2bh is the formula for a triangle
so 8 * 3 is 24
24/2
12
13 Marcel caughtone fish that weighed
7.5 pounds and another fish
that weighed
2.13 pounds. How much did both fish
weigh-in all?
Answers
Answer:
7.5+2.13= 9.63
Step-by-step explanation:
Brittany and Cydney are each thinking of a number. Cydney’s number is 4/9 of Brittany’s number. There is a difference of 80 between their two numbers? What is each number?
Answers
Answer:
Brittany number is 144
Cydney number is 64
Step-by-step explanation:
let Brittany number be x
let Cydney number be y
y=4/9x
x - y = 80 because x is more than y
so y=x - 80
x - 80 = 4/9x
5/9x=80
x=720/5=144
y=64
Fill the missing number.
8 6/7-5 1/2=3+?
Answers
Please hurry it’s missing
Answers
Answer:
[tex] \frac{3}{2} [/tex]
Step-by-step explanation:
9/4 ÷ 3/2
9/4 × 2/3
= 18/12
÷ 6
=> 3/2
Hope it helps you
You can just use this app called Cymath. That’s how I got this answer.
Joanna recorded the number of laps she swam during practice in one week.
Freestyle 100
Breaststroke 50
Backstroke 60
Butterfly 25
What is the value of the breaststroke to butterfly ratio?
Type your answer as a fraction in simplest form.
Ratio Value:
Answers
Step-by-step explanation:
Number for Breaststroke = 50
Number for Butterfly = 25
Ratio of Breaststroke to Butterfly
= 50 : 25 = 2 : 1.
The ratio value is 2/1.
Why was the ancient Egyptian teenager confused?
Answers
her daddy was a mummy
1 5cm
2 12.5cm
3 120 cal
4 384 cal
5 75ft
6 36 ft
7 40
8 320
9 10 h
10 4 h
Can someone please help me
Answers
Answer:
(-4,9)
Step-by-step explanation:
Dinkle Company purchased equipment for $50,000. The equipment has an estimated residual value of $5,000 and an expected useful life of 10 years. Dinkle uses straight-line depreciation for its financial statements. Required: What is the difference between the company's income before taxes reported on its financial statements and the taxable income reported on its tax return in each of the first 2 years of the asset's life if the asset was purchased on January 2, 2016, and its MACRS life is 5 years?
Answers
Answer:
Year 1
As per company book deprecation: (Equipment cost-Salvage value)/Life time = (50,000 - 5,000)/10 = 45,000/10 = $4,500
As per income tax depreciation = Cost * MACRS rate for year 1 = 50,000 * 20% = $10,000
Therefore, difference in year 1 will be: $10,000 - $4,500 = $5,500
Year 1
As per company book deprecation: (Equipment cost-Salvage value)/Life time = (50,000 - 5,000)/10 = 45,000/10 = $4,500
As per income tax depreciation = Cost * MACRS rate for year 2 = 50,000 * 32% = $16,000
Therefore, difference in year 1 will be: $16,000 - $4,500 = $11,500
Sam has a 16% off coupon for a tune -up at Quick Service Gas Station. If a tune-up is regularly $45, what is the sale price?
Answers
Answer:
Its gonna be about 35.56
lenah run five laps around a track in 6 minutes how many minutes per lap is that per minute
Answers
Answer:
1 minute and 12 seconds per lap
Step-by-step explanation:
6 divided by 5 is (clearly) 1 and 60 divided by 5 is 12 seconds
Answer:
1.2
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just don’t want to waste my time in case you don’t want me to :)
Derrick needs to sell a minimum of 100 orders each month to make it into the sales winners circle. He has already sold 45 orders this month. He still needs to sell s more orders.
Which inequality can be used to find the possible values for s?
Answers
He needs to sell a MINIMUM of 100 orders which means that he can send 100 or more. If he’s already sold 45 then he needs to sell AT LEAST 55 more which means that the variable s, sales left, is greater than or equal to 55
16x-30-14x-6 , i know its 12 but i dont know HOW its 12.
Answers
Step-by-step explanation:
so what you're going to want to do is set this equal to 0. add the 6 over. add the 30 over. subtract 16x-14x they have the same degree of power so you can do that. divide the coefficient of x over and x=12 maybe who really knows anymore
Find an equation in slope-intercept form of the line that has slope –2 and passes through point (1,9)
Answers
Answer:
y=-2x+11
Step-by-step explanation:
slope intercept form is y=mx+b m being the slope and b the y-intercept
using the slope you can calculate the y intercept
m=-2
y-intercept(b)=11
48 ÷ 8 + (5-1)^2
plz help
Answers
Answer:
22
Step-by-step explanation:
Answer:
22
Step-by-step explanation:
To add fractions, find the LCD and then combine.
HELP ASAP! A college campus has a lawn shaped like a circle with a radius, r, of 60 meters. Which is the best approximation of the area, A, of the circular lawn? (Use A=πr2; π is approximately 3.14.)
180 square meters
360 square meters
2,800 square meters
11,300 square meters
Answers
Answer:
he answer is 2800, hope this helps!
Step-by-step explanation: :))
