Answers
Answer:
297cm^3π
Step-by-step explanation:
R is a radius of the base of a cone, and r of top surface radius.
V=(1/3)×π×depth×(r^2+r×R+R^2)
V=(1/3)×π×3cm×(3^2+3×4.5×4.5^2)
V=(1/3)×π×3cm×(9cm^2+3cm×4.5cm×20.25cm^2)
V=(1/3)×π×3cm×(12cm^2×24.75cm^2)
V=(1/3)×π×3cm×(297cm^4)
V=(1/3)×π×891cm^3
V=(891cm^3/3)π
V=297cm^3π
hope it help yuh
plz mark brianliest if its correct
Related Questions
In 2005, the population of a town was 17,500. Suppose the population grows exponentially at a rate of 3% per year. Write an equation to model this situation, let x represent the number of years since 2005.
Answers
Answer:
The expression is: [tex]p(x) = 17500*(1.03)^x[/tex]
Step-by-step explanation:
Since we're starting our count in 2005, then let's call that year 0 and every year after that will be 2005 + x, where t grows from 0 as an integer.
In 2005 the population is:
[tex]p(0) = 17500[/tex]
In 2006 the population is:
[tex]p(1) = 17500*(1 + \frac{3}{100}) = 17500*(1.03)[/tex]
In 2007 the population is:
[tex]p(2) = p(1)*(1.03) = 17500*(1.03)*(1.03) = 17500*(1.03)^2[/tex]
In 2008 the population is:
[tex]p(3) = p(2)*(1.03) = 17500*(1.03)^2*(1.03) = 17500*(1.03)^3[/tex]
We can notice a pattern that the population pf the city is equal to the number of the starting population multiplied by the rate of change powered by the number of years after 2005. Therefore a generic expression for the population of that town can be written as:
[tex]p(x) = 17500*(1.03)^x[/tex]
Answer:
This situation represents exponential growth
The rate of growth or decay, r, is equal to 0.10
So each year the number of residents in the town is 1.10 times the number in the previous year.
There were around 14,641 residents in the town 4 years after 2005.
Step-by-step explanation:
Since the number of residents increases by a constant percentage each year, this situation represents exponential growth.
The number of residents increases by 10% per year. So the rate of growth, r, is 10%, or 0.1.
Use the equation to find b, the growth factor by which the population increases each year.
So the population increases by a factor of 1.1 each year. This growth factor means that the number of residents in the town in any year is 1.1 times the number in the previous year.
Write the exponential expression to model the town’s growth by substituting 10,000 for A and 1.1 for b in the general form of the exponential expression.
Set this expression equal to 14,641, and isolate the exponential term.
Use a table of values to rewrite 1.4641 as a value with a base of 1.1.
So there were around 14,641 residents in the town 4 years after 2005.
Solve this system below by elimination. -x-2y=-9 2x+2y=9
Answers
X=3, y=0
Two consecutive positive numbers have a sum of 27. What are the two numbers?
The smaller number is The larger number is k _________________ _________________
Answers
Answer:
k=14
Step-by-step explanation:
z+1=k
z+k=27
z=k-1
k-1+k=27
2k=28
k=14
Answer:
The smaller number is 13. The larger number is 14. (k?)
Step-by-step explanation:
If you add all the 2 consecutive integers up:
1+2=3
2+3=5
3+4=7
4+5=9
5+6=11
6+7=13
7+8=15
8+9=17
9+10=19
10+11=21
11+12=23
12+13=25
13+14=27
14+15=29
Only 13 & 14 add up to 27. Of course you don't have to do this and just find consecutive integers whose one's place is 3 and 4
What are the domain and range of the function f(x)=-x+3 - 2?
Answers
Answer:
Domain
R (all real numbers)
Range
R (all real numbers)
Step-by-step explanation:
What is the value of log625 5?
Answers
Answer:
1/4
Step-by-step explanation:
625^(1/4) = 5
Answer:
1/4
Step-by-step explanation:
log625 5= log 5/ log 625 = log 5 / log 5^4 / = log 5 /4 log 5= 1/4
Evaluate using Distributive property: [(-2/7)× (−4/9)] + [(-
3/5)× (−4/9)]
Answers
Answer:
Step-by-step explanation:
[8/63] + [ 4/15 ]
= (120 + 652)/945
= 0.82
Solve for a side in right triangles
Answers
Answer:
? = 7.45
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adjacent side/ hypotenuse
cos 20 = 7 / ?
Multiply each side by ?
? cos 20 = 7
Divide each side by cos 20
? = 7/ cos 20
? =7.449244407
To the nearest hundredth
? = 7.45
Answer:
7.45 units
Step-by-step explanation:
[tex]\cos 20\degree = \frac{BC}{AB}\\\\0.939692620 = \frac{7}{AB}\\\\AB = \frac{7}{0.939692620}\\AB = 7.4492\\AB = 7.45 units[/tex]
The original price of a game system was reduced by $99.
If p= the game system’s original price in dollars, which algebraic expression represents the reduced price.
Answers
Answer:
P-99 as you would subtract 99 from original
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
How many numbers are in the list 1,4,7 .......... 2005, 2008 URGENT! [If you answer correctly, I will mark you brainliest]
Answers
Answer:
669.333333333
Step-by-step explanation:
divide 2008 by 3
Answer:
670
Step-by-step explanation:
Adding 2 to each member of the list, we get, and then dividing each member of the list by 3, we get: [tex]$$3, 6, 9, \ldots, 2007, 2010$$[/tex], [tex]$$1,2,3,\ldots,669,670.$$[/tex]
So there are [tex]$\boxed{670}$[/tex] numbers.
Hope this helped! :)
5w=-2x+ 3/4 y+z for z
Answers
Answer:
z= 5w+2x -3/4 y
Step-by-step explanation:
add 2x to both sides and subtract 3/4 y.
What is 2.18 as a fraction
Answers
Answer:2 9/50
Step-by-step explanation:
2 18/100
Simplifies to 2 9/50
Answer:
109/50
Step-by-step explanation:
First, let's split this number up.
2.18 = 2.00 + 0.18
Remember that 0.18 means 18 hundredths, which can be represented as 18/100. Simplified, this equals 9/50.
Now, we have the mixed number 2 9/50.
Remember how to turn a mixed number into a fraction? Multiply 2 by 50, then add 9! That's the numerator. The denominator will be 50, the denominator of the fraction in the mixed number.
2 9/50 in fraction form is 109/50.
This is the simplest form!
Hope this helps! Feel free to reach out to me if you have any more questions :)
Find the slope of the following graph and write your result in the empty box.
Answers
Answer:
WERES THE GRAPH
Step-by-step explanation:
hihihihihihihihihihi
hi
Answers
1+1=2
Answer:
hi
Explanation:
hi
What are the slope and y-intercept of the linear equation?
Answers
How many centimeters are there in 740.2
millimeters?
Answers
Answer:
74.02
Step-by-step explanation:
divide by 10
Answer:
74.02 Centimeters
Step-by-step explanation:
1 centimeter = 10 millimeters
74.02 centimeters = 740.2 millimeters
when I triple a number and add 20 i will get the same answer as i do when i subtract the number from 40 find the number
Answers
[tex]answer = - 30 \\ let \: the \: number \: be \: x \\ 3x + 20 = x - 40 \\ or \: 3x - x = - 40 - 20 \\ or \: 2x = - 60 \\ or \: x = \frac{ - 60}{2} \\ x = - 30 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]
WILL MARK BRAINLIEST!! Lorri took a 240 km trip to Waterloo. On her way there, her average speed was 120 km/h. She was stopped for speeding, so on her way home, her average speed was 80 km/h. What was her average speed, in km/h, for the entire round-trip?
Answers
Answer: Her average speed was 480 km/ 5h which is 96.
Step-by-step explanation: When she went there her speed 120 km/ h and if the distance was 240 km, then it took her 2 hours to get there. 240 divided by 120 is 2. When she returned her average speed was 80 km/h and since the distance was 240, 240 divided by 8 is 3 which means it took her 3 hours to get back home. She drove a total of 480 km , because the distance to the trip was 240 and the distance from the trip to the back was 240. 240 + 240 is 480. She drove a total of 480 km in 5 hours because it took her 2 hours to go there and 3 hours to come back . 480 km / 5h
Please answer this question !! 20 points and brainliest !!
Answers
Answer: b.2x
Step-by-step explanation:
why? because 2 can be divided into all of the numbers evenly!
all the numbers have (x)
it wouldn't be (2x^2) ,because one of the numbers have x^3
Answer:
2x^2
Step-by-step explanation:
You find what the highest number they all have in common in this case 2 then if they all have x or y in common they have x^2 in common then add the two together making 2x^2
I am thinking of 3 consecutive numbers less than 100.The first number has 5 as one of its factors, the second number has 1 as its factors and the last number has 2 a one of its factors
Answers
Answer:
10, 11 and 12.
Step-by-step explanation:
A number has 5 as one of its factors, when last digit is 5 or 0. Only prime numbers have 1 as the only factor and a number has 2 as one of its factors when last digit is 2, 4, 6, 8 or 0.
Three possible consecutive numbers are 10, 11 and 12. 10 is the product of 2 and 5, 11 is a prime number and 12 is the product of 3 and 2². Therefore, possible choice is 10, 11 and 12.
Which equation matches the graph?
A. 2x + 6y= -8
B. -2x +6y=-8
C. 3x + 4y=-12
D. 4x + 3y= -24
Answers
Micah went to the grocery store the other day and there were no price tags on anything! She bought 3 loaves of bread and 1 milk jug and when the cashier scanned it, the total was $9. Then she saw the person behind her bought 1 loaf of bread and 2 milk jugs. His total was $5.50. Micah walked out wondering: how much does one loaf of bread cost?
Answers
Answer:
$2.75
Step-by-step explanation:
We know that the random persons total was $5.50. To figure out how much one loaf of bread costs we must first, divide $5.50 by 2. We get 2.75. Then, to double check our answer we multiply that by 3 to get 8.25. We know that Micah' s total was $9.00. 9 minus 8.25 equals 0.75.
That price is very reasonable, for a jug of milk, so we know that $2.75 is the answer.
Hope this helped :)
Angela travels to a friend's house, which is 4 miles east and
8 miles north of her house. Will Angela have cell phone
service at her friend's house?
Answers
Answer:
Depends?
Step-by-step explanation:
She lives 8.9 miles away from her friend if she were to go at a diagonal (the fastest way to her house). If her cell service can go farther than that, then she will have service and vice versa
Answer:
A.
Step-by-step explanation:
Just did the quiz
hey there,
given that √7569= 87,then the value of √7569 + √75.69 is ________
Answers
Answer:
95.7
Step-by-step explanation:
Given that [tex]\sqrt{7569}=87[/tex] we're in search for the value of [tex]\sqrt{7569} +\sqrt{75.69}[/tex].
Simplify the square roots.
[tex]\sqrt{7569} +\sqrt{75.69}[/tex]
[tex]87 + 8.7[/tex]
Now when we add we get 95.7 or 96 rounded to the nearest tenth.
Solve each problem by forming a pair of simultaneous equations:
Find two numbers with a sum of 15 and a difference of 4.
Answers
Answer:
5.5, 9.5
Step-by-step explanation:
Let x and y be the numbers
x+y = 15
x-y = 4
Add the two equations together to eliminate y
x+y = 15
x-y = 4
------------------
2x = 19
Divide by 2
2x/2 =19/2
x = 9.5
Now find y
x+y = 15
9.5+y = 15
Subtract 9.5
x = 15-9.5
x =5.5
Answer:
11/2 and 19/2
Step-by-step explanation:
We have to make a system of equations:
1) X + Y = 15
2) X - Y = 4
Working on the first one:
X = 15 - Y
And now let's plug it in the second one:
(15 - Y) - Y = 4
15 - 2Y = 4
2Y = 11
Y = 11/2
Let's substitute this in one of the two equations:
X + 11/2 = 15
X = 19/2
A recipe uses 1/3 cup of brown sugar to make 18 cookies. How many cups of brown sugar are needed to make 45 cookies?
Answers
Answer:
5/6 of a cup of brown sugar
Step-by-step explanation:
45 divided by 18 equals 2.5.
So, 2.5 times 1/3 of a cup equals 5/6 of a cup of brown sugar.
The number of cups of brown sugar needed is 5/6 cups.
Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).
The ratio of brown sugar to cookies is [tex]\frac{1}{3}[/tex] : 18. In order to determine the amount of brown sugar needed for 45 cookies, use this formula:
Number of cookies = (45 x [tex]\frac{1}{3}[/tex] ) / 18 = 15 / 18 = 5/6
To learn more about ratios, please check: https://brainly.com/question/17995727?referrer=searchResults
Alexa wrote down a decimal number that is greater than 2.4 but less than 2.8. Select two numbers that Alexa could have written down. * 1 point 2.50 2.41 2.39 2.40 2.08
Answers
Answer:
2.41 and 2.50
Step-by-step explanation:
Here, we shall be selecting the correct answer from the option.
a. A is correct
the number we want is between 2.4 and 2.8
2.5 is greater than 2.4 but less than 2.5, this means it meets our criteria
b. 2.41 is also correct
This is because it is greater than 2.4 but less then 2.8
c. wrong
2.4 is same as 2.4, it does not meet the criterion
d. wrong
the value is far lesser than 2.4
5.) In 2012 the cost of a ticket to an arts
festival was $30.This was 20% more
than the ticket cost in 2011.
Calculate the cost of the ticket in 2011.
Answers
9514 1404 393
Answer:
$25
Step-by-step explanation:
If c is the 2011 cost, then we are told ...
30 = c + 20%×c
30 = 1.2c . . . . . . simplify
30/1.2 = c = 25 . . . . . divide by the coefficient of c
The 2011 cost was $25.
Find the quadractic function to model the values in the table.
Answers
Answer: y=3x^2+3x-3
(the first option)
Answer:
3y²+3x-3
Step-by-step explanation:
the first choice
Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!
Answers
Answer:
3
Step-by-step explanation:
The degree of polynomial is 3
Answer: It's a THIRD degree polynomial.
Step-by-step explanation:
Phil received a prize of xxx dollars from a poker tournament. The tournament cost him 100100100 dollars to enter.
What were Phil's net winnings from the tournament?
Answers
Answer:
$(x-100)
Step-by-step explanation:
Phil entered the poker tournament with $100.He received a price of $x.His net winnings from the tournament will be the price minus the entry fee.
Therefore:
Phil's net winnings=$(x-100)
Answer:
x - 100
Step-by-step explanation:
Since it costs 100 dollars for Phil to enter the competition, you subtract that from the prize in which he earns (x).
