Answers
QUESTION 1
The volume of a cone is given by;
[tex]V=\frac{\pi r^2h}{3}[/tex]
From the given information,
[tex]r=12,h=6[/tex]
[tex]V=\frac{12^2\times 6}{3}\pi[/tex]
[tex]V=\frac{144 \times 6}{3}\pi[/tex]
[tex]V=288\pi[/tex]
QUESTION 2
The volume of a sphere is given by
[tex]V=\frac{4\pi r^3}{3}[/tex]
From the given information.\
[tex]r=\frac{Diameter}{2}= \frac{12}{2}=6[/tex]
Therefore the volume of the sphere is
[tex]V=\frac{4\times6^3}{3} \pi[/tex]
[tex]V=\frac{4\times216}{3} \pi[/tex]
[tex]V=288\pi[/tex]
QUESTION 3
The volume of a sphere is given by
[tex]V=\frac{4\pi r^3}{3}[/tex]
From the given information.\
[tex]r=9[/tex]
Therefore the volume of the sphere is
[tex]V=\frac{4\times 9^3}{3} \pi[/tex]
[tex]V=\frac{4\times 729}{3} \pi[/tex]
[tex]V=972\pi[/tex]
QUESTION 4
The volume of a cylinder is given by
[tex]V=\pi r^2 h[/tex]
From the given information,
[tex]r=\frac{Diameter}{2}= \frac{12}{2}=6[/tex]
and
[tex]h=27[/tex]
Therefore volume of the cylinder
[tex]V=6^2 \times 27 \pi[/tex]
[tex]V=36 \times 27 \pi[/tex]
[tex]V=972\pi[/tex]
QUESTION 5
The volume of a cylinder is given by
[tex]V=\pi r^2 h[/tex]
From the given information,
[tex]r=\frac{Diameter}{2}= \frac{8}{2}=4[/tex]
and
[tex]h=18[/tex]
Therefore volume of the cylinder
[tex]V=4^2 \times 18 \pi[/tex]
[tex]V=16 \times 18 \pi[/tex]
[tex]V=288\pi[/tex]
QUESTION 6
The volume of a cone is given by;
[tex]V=\frac{\pi r^2h}{3}[/tex]
From the given information,
[tex]r=\frac{18}{2}=9,h=36[/tex]
[tex]V=\frac{9^2\times 36}{3}\pi[/tex]
[tex]V=\frac{81 \times 36}{3}\pi[/tex]
[tex]V=972\pi[/tex]
Volume of a cone = [tex]\pi r^2\frac{h}{3}[/tex]
Volume of a sphere = [tex]\frac{4}{3} \pi r^3[/tex]
Volume of a cylinder = [tex]\pi r^2h[/tex]
With the help of these formulas, we can calculate the volumes.
A cone with a radius of 12 units and a height of 6 units = [tex]\pi 12^2\frac{6}{3}[/tex] = 288[tex]\pi[/tex]
A sphere with a diameter of 12 units = [tex]\frac{4}{3} \pi 6^3[/tex] = 288[tex]\pi[/tex]
A sphere with a radius of 9 units = [tex]\frac{4}{3} \pi 9^3[/tex] = 972[tex]\pi[/tex]
A cylinder with a diameter of 12 units and a height of 27 units = [tex]\pi 6^227[/tex] = 972[tex]\pi[/tex]
A cylinder with a diameter of 8 units and a height of 18 units = [tex]\pi 4^218[/tex] = 288[tex]\pi[/tex]
A cone with a diameter of 18 units and a height of 36 units = [tex]\pi 9^2\frac{36}{3}[/tex] = 972[tex]\pi[/tex]
Related Questions
Which of the following statements is correct?
• 15 > 700
• 15 = 700
• 15 < 700
• 700 = 700
Answers
The last two ones
< Less than
> Greater than
= Equal to
The correct statements are '15 < 700' and '700 = 700'.
In mathematics, we use comparison operators to establish relationships between numbers.
By comparing the given numbers, we see that 15 is less than 700, which makes the correct statement: '15 < 700'. Additionally, the statement '700 = 700' is also correct, as these values are identical and other statements are incorrect.
PLEASE ANSWER FAST WILL MAKE BRAINLIST...
1.David has a collection of computer games. Last year, he had 400 CDs in his collection and this year he has 125% as many CDs as he had last year. How many CDs does he have now?
Select one:
a. 400
b. 500
c. 425
d. 450
2.David has a collection of computer games. Last year, he had 400 CDs in his collection and this year he has 120% as many CDs as he had last year. What is the size of his CD collection this year?
Select one:
a. 480 CDs
b. 500 CDs
c. 400 CDs
d. 440 CDs
3.Eric used to practice football for 60 minutes every day. Now, he practices for 150% as many minutes as he used to. How many minutes does he currently practice every day?
Select one:
a. 110
b. 180
c. 90
d. 200
4.Eric used to practice football for 90 minutes every day. Now, he practices 200% as many minutes as he used to. How many minutes does he currently practice every day?
Select one:
a. 180
b. 90
c. 200
d. 100
Jane drives at a constant rate of 45 miles per hour for 4 hours. How far will she have traveled in that time?
Select one:
a. 110 miles
b. 220 miles
c. 180 miles
d. 160 miles
Answers
The first questions answer is 50.
The second questions answer is 480
The third is 90
The fourth answer is 180
Lastly the last answer is 180 again
Why is David playing games from a cd. Anyways, The answers to the second one is 480. I just so happen to be on the same question.
Which number line represents all of the values of x for the equation x2 = 16?
A number line is shown from negative 10 to 0 to positive 10. There are increments of 2 on the number line, and all these are increments are labeled. A dot is shown on positive 4 and is labeled as p.
A number line is shown from negative 10 to 0 to positive 10. There are increments of 2 on the number line, and all these are increments are labeled. A dot is shown on positive 8 and is labeled as p.
A number line is shown from negative 10 to 0 to positive 10. There are increments of 2 on the number line, and all these are increments are labeled. A dot is shown on positive 4, another dot is shown on negative 4, and are labeled as p and q, respectively.
A number line is shown from negative 10 to 0 to positive 10. There are increments of 2 on the number line, and all these are increments are labeled. A dot is shown on positive 8, another dot is shown on negative 8, and are labeled as p and q, respectively.
Answers
i think it is the third one
hope it helps
Answer:
The given equation is
→x²=16
→x²-16=0
→(x-4)(x+4)=0
x=4, -4
p=4
q=-4
Option C
A number line is shown from negative 10 to 0 to positive 10. There are increments of 2 on the number line, and all these are increments are labeled. A dot is shown on positive 4, another dot is shown on negative 4, and are labeled as p and q, respectively.
if m<mkl=83. m<jkl=127. and m<jkm=(9x-10). find the value of x
Answers
Final answer:
To find the value of x, we can use the given equations and the Angle Sum Property of a Triangle. By substituting the known values into the equation (9x-10), we can solve for x.
Explanation:
To find the value of x, we can use the facts given in the question. We know that m<mkl = 83 and m<jkl = 127. We also know that m<jkm = (9x-10). From these facts, we can form two equations:
1. m<mkl = 83
2. m<jkl = 127
Using these equations, we can determine the value of x.
Let's solve the first equation:
1. m<mkl = 83
Since m<mkl = 83 and m<jkl = 127, we can substitute these values into equation (9x-10) according to the Angle Sum Property of a Triangle:
2. 83 + 127 + (9x-10) = 180
Simplifying the equation, we get:
3. 210 + 9x - 10 = 180
Combining like terms, we have:
4. 9x + 200 = 180
Subtracting 200 from both sides, we get:
5. 9x = -20
Dividing both sides by 9, we find:
6. x = -20/9
Therefore, the value of x is -20/9.
You invest $2000 in an account at 4.5% per year simple interest. How much will you have in the account at the beginning of the 8th year? Round your answer to the nearest whole dollar. A. $2560 B. $2640 C. $2720 D. $2630
Answers
Problem
You deposit $2000 into a bank account paying 4.5% simple interest per year. You left the money in for 8 years. How much interest do you get at the end of those 8 years?
Result
The interest is $720.
Then you add the money you invested to your interest so your answer would be ' C ',
I think I'm not that great with math but I really hope I helped you .
Answer:
D. $2630
Step-by-step explanation:
Given,
The principal amount, P = $ 2000,
Annual rate of interest, r = 4.5 % ,
Thus, the interest for 7 years,
[tex]I=\frac{P\times r\times 7}{100}[/tex]
[tex]=\frac{2000\times 4.5\times 7}{100}[/tex]
[tex]=\frac{63000}{100}[/tex]
[tex]=630[/tex]
Hence, the amount after 7 years or at the beginning of the 8th year is,
[tex]A=P+I=2000+630=\$ 2630[/tex]
Option 'D' is correct.
2.93 is greater than or less than 0.293
Answers
Solve 8.246- 5 hundredths
Answers
To solve the expression 8.246 minus 5 hundredths, we subtract 0.05 from 8.246, aligning the decimal places, which gives us the final answer of 8.196, accurately rounded to the thousandths place.
To solve 8.246 - 5 hundredths, we need to understand what five hundredths mean. Five hundredths is the same as 0.05. So, the problem now looks like 8.246 - 0.05.
When we subtract these two values, we need to line up the decimal places properly:
8.246- 0.05
------
Subtracting, we get:
8.246- 0.050
------
8.196
Therefore, the final answer is 8.196.
It's important to note that when subtracting values, you must consider the position of the farthest right significant figure. In this case, the least precise number (original number) had its farthest right significant figure in the thousandths place, so our final answer is also rounded to the thousandths place.
An ice hockey rink is a rectangle with a perimeter of 174 meters. The length is 9 meters more than twice the width. Find the length and width.
Answers
let L be the length
let W be the width
L = 9 + 2W
since the perimeter = 2L + 2W
Perimeter = 2 x (9 + 2W) + 2W
174 m = 18 + 4W + 2W
174 m = 18 + 6W
6W = 174 - 18
6W = 156
W = 156/6
W = 26
L = 9 + 2W
L = 9 + 2 x 26
L = 9 + 52
L = 61
Therefore, length = 61 m and width = 26 m.
For the polynomial function ƒ(x) = x4 −25x2, find the zeros. Then determine the multiplicity at each zero and state whether the graph displays the behavior of a touch or a cross at each intercept.
Answers
ANSWER
The zeros are [tex]x=-5,x=0,x=5[/tex]
EXPLANATION
Given;
[tex]f(x)=x^4-25x^2[/tex].
We can rewrite the function as
[tex]f(x)=x^2(x^2-25)[/tex]
[tex]\Rightarrow f(x)=x^2(x^2-5^2)[/tex]
[tex]\Rightarrow f(x)=x^2(x-5)(x+5)[/tex]
The zeros are found by equating the function to zero.
[tex]\Rightarrow x^2(x-5)(x+5)=0[/tex]
[tex]\Rightarrow (x-5)=0[/tex]
The multiplicity is 1, since it is odd the graph crosses at this intercept. which is [tex]x=5[/tex]
Or
[tex]\Rightarrow (x+5)=0[/tex]
The multiplicity is 1, since it is odd the graph crosses at this intercept. which is [tex]x=-5[/tex]
Or
[tex]\Rightarrow x^2=0[/tex]
This last root has a multiplicity of 2.
That is
[tex]x=0[/tex] repeats two times.
Since the multiplicity is even, the graph touches the x-axis at the point [tex]x=0[/tex].
See graph.
The zeros of the function ƒ(x) = x4 -25x2 are -5, 0, and 5. Each of these zeros has a multiplicity of 1. The graph crosses the x-axis at each of these zeros, indicating odd multiplicities.
Explanation:The polynomial function given is ƒ(x) = x4 -25x2. In order to find the zeros, you set the function equal to zero and solve for x: 0 = x4 -25x2. This can be rewritten as x2(x2 - 25) = 0. From this, it's clear that x = 0 is a zero of the function. The other zeros can be found by setting x2 - 25 = 0, resulting in x2 = 25, and therefore, x = ±5. So, the zeros are -5, 0, and 5. Each of these zeros has a multiplicity of 1, because the factorization of f(x) doesn't include any squared terms. The graph crosses the x-axis at each of these points, which is characteristic of odd multiplicities.
Learn more about Zeros and Multiplicity here:https://brainly.com/question/29948205
#SPJ3
What is the volume of a cube if it is 25cm long 6cm wide and 4cm high
Answers
hope this helps!
the answer is a, 600
The sum of a number and two thirds the number is the same as four less than twice the number what is the number
Answers
x + (2/3)x = 2x-4
(2/3)x = x-4
2x = 3x-12
0= x-12
12 = x
23 - 4 - 6 + 7 + 5 - 1 x 0 + 1 = x
Solve the equation.
Answers
According to BODMAS we solvethe equation:-
B- brackets
O- of
D-divide
M- multiple
A-Add
S- subtract
=> 23 - 4 - 6 + 7 + 5 - 1 x 0 + 1 = x
=> x=26
HOPE IT HELPS YOU.
t-shirts are on sale for $4 ofc the regular price. Jeb buys 5 t-shirts for a total of $45.05, including a 6% sales tax. Which equation can Jeb use to find the regular price, r, of 1 t-shirt?
a)0.06(5r-4)=45.05
b)5(r-4)=1.06×(45.05)
c)1.06×5(r-4)=45.05
d)5(r-4)+0.06r=45.05
Answers
hope this helps!
Help ASAP please!!!
First answer and correct answer gets the brain...
Answers
3/4x + 3 = 5/6
(3/4 * 12)x + 3 = (5/6 * 12)
9x + 3 = 10
You have to find the lowest common denominator (LCD) by finding the number that you can multiply into every fraction to turn them into a whole number.
If f(x)=5x^2 and g(x)=x^2-4x-8, find (f-g)(x)
Important!!!
Answers
Answer:
Option B.
Step-by-step explanation:
(f-g)(x) = f(x)-g(x)
= (5x²-3) - (x²-4x-8)
=5x²-3 -x² +4x +8 ( - sign outside will multiply each sign inside)
=4x² +4x + 5
List the key words in the equation twice the sum of a number and three is seven and than write the equation
Answers
AHHHHHH NEED HALP C AND B
Answers
Answer: science
Step-by-step explanation:
What is the square root of this problem?—-
Answers
The answer to this question is 0.9
ExplanationWe know that
sequre of 9 is equal to 81 as [tex]9^2 = 81[/tex]
Then sequre of 0.9 will be
[tex]0.9^2 = 0.81[/tex]
So,
b = [tex]\sqrt{ 0.81}[/tex]
b = [tex]\sqrt{ 0.9^2}[/tex]
Exponent and square root cancel out each other
So, the answer is 0.9.
Bea bakery bakes 215 cookies and 45 muffins every hour how May baked goods are baked in 4 hours.
Answers
Multi-step: This week, Maddie worked 2 1/2 hours on Monday, 2 2/3 hours on Tuesday, and 3 1/4 hours on Wednesday. How many more hours will Madie need to work this week to make her goal of 10 1/2 hours a week? ( show steps please)
Answers
Answer:
2 1/12
Step-by-step explanation:
Maddie wants her total hours to be 10 1/2. That is, she want the sum of the daily hours to be that value:
... 10 1/2 = 2 1/2 + 2 2/3 + 3 1/4 + (more hours)
Subtracting the contant terms on the right, we can find the value of (more hours).
... 10 1/2 - 2 1/2 - 2 2/3 - 3 1/4 = (more hours)
Doing the subtraction left to right, we have
... 8 - 2 2/3 - 3 1/4 = (more hours)
... 5 1/3 - 3 1/4 = (more hours)
... 2 1/12 = (more hours)
The only subtraction that may require any extra effort is subtracting 1/4 from 1/3.
... (1/3) - (1/4) = (4/12) - (3/12) = (4 -3)/12 = 1/12
_____
If you play with fractions very much, this is a number fact you will have run across before.
3.44444444444 in simplest form
Answers
Sushirama sells rolls for 12$ each. For 20$ per month, you can purchase a discount card which makes the rolls 9$ each. Which inequality below couod be used to find how many rolls of sushi(r) you would need to eat in month to make the discount card a good deal? (A) 12r > 20 + 9r (B) 12r > 20r + 9 (C) 12r < 20 + 9r (D) 12r < 20r + 9
Answers
after 3/4 of a minute a sloth has moved just 3/8 of a foot. what is the sliths speed in feet per minute?
Answers
This is a tricky question but my best guess is .5 or 1/2 a foot per minute. I divided 3-8 as a decimal and added one/4th part to it to be a full minute.
Will mark brainliest if you could explain this to me??
Answers
Your answer would be 4379 members because at the very beginning you had started off with 4372 members, however as the months go by changes happen. On october, it changed by -10, meaning that 10 students left the school meaning 4372-10=4362 members remaining. Then there's november with -8, so you subtract 8 from your new total 4362-8=4354. Then december comes, and this time it's a positive number, so you have to add 23 to 4354, giving you a new total of 4377. Then there's january, and its back to a negative number so you subtract 12 from 4377, 4377-12=4365. Then february comes and it's a change of a positive number, so you add 3 to the 4365, giving you 4368. And then finally by march, it's another positive number so you add 11 to your total, giving you 4379 students which are now at school. So basically if it's a negative change, subtract from the total, and if it is a positive, add to it. And you have to continue with the total that you got from the previous change that you did. Hope this was helpful
basically you start with 4372 the table shows what happens during the school so after September you go to October which is -10 so you end up with 4362 then, November which is -8 so you get 4354 then in December you have +23 which makes 4377 then in January you have -12 which makes 4365 then in Feburary you have +3 which makes 4368 then in march you have +11 so 4379 so
1rst one
-hope this helps
What’s is the standard form of the equation of the given circle with center A(4,8)
Answers
The X. axis is you final answer!
What is 7 * 3? this is very important so plz help
Answers
The answer to your question is 21.
7 * 3 = 21
7 x 3 = 21
(you can learn your multiplications, or get a calculator)
hope that helps anyway :)
Please help!! Thanks!
Answers
[tex]f(x)=2x^2+5\sqrt{x-2}\\\\f(3)\to\text{put the value of x = 3 to the equation of the function}\\\\f(3)=2(3^2)+5\sqrt{3-2}=2(9)+5\sqrt1=18+5(1)=18+5=23[/tex]
1. -7/9 • 3/5
A. 18/35
B. 7/15
C. -18/35
D. -7/15
2. 1/3 divided by 5/6
A. 2/5
B. 5/2
C. 2/15
D. 5/18
3. 2 and 1/8 divided by 34
A. 51/32
B. 1/16
C. 2 and 1/3
D. 2 and 5/6
4. -4/5 divided by 8/9
A. -9/10
B. 1/20
C. 9/10
D. -1/20
5. 3/5 Divided by 9/10 A. 2/3
B. 2/5
C. 3/10
D.27/50
6. 4/7 divided by 9/14
A. 3/7
B. 2/3
C. 6/7
D. 8/9
Answers
solve y=x^2+23 for x
Answers
For this case we must clear x from the given equation:
[tex]y = x ^ 2 + 23[/tex]
We passed 23 subtracting the other side of equality:
[tex]y-23 = x ^ 2[/tex]
By definition, [tex]a ^ 2 = b[/tex]is written as [tex]a = +/-\sqrt{b}[/tex]
So, we have:
[tex]x = + / -\sqrt{(y-23)[/tex]
So, the solution of [tex]y = x ^ 2 + 23[/tex] for x is:
[tex]x = + / -\sqrt{(y-23)[/tex]
Answer:
[tex]x = + / -\sqrt{(y-23)[/tex]
[tex]x1=+\sqrt{(y-23)[/tex]
[tex]x2=-\sqrt{(y-23)[/tex]
Answer:
x = +/- (square root) y-23
Step-by-step explanation:
A P E X
Solve for x. −5x−4(x−6)=−3 Enter your answer in the box. x =
Answers
-5x -4(x-6) = -3
distribute
-5x -4x+24 = -3
combine like terms
-9x +24 = -3
subtract 24 from each side
-9x = -27
divide by -9
x = 3
Answer:
x=3
Step-by-step explanation:
−5x−4(x−6)=−3
To solve for x:
for this we have to make the equation in such a way that the variable x lies on the left side and constant terms on the right side.
First distribute -4 over x and -6
We get -4x+24.
Substitute in the equation.
-5x-4x+24 =-3
Subtract 24 from both the sides
-5x-4x = -3-24
Or =9x = -27
Divide by -9
X = 3