V = 4/3 π r^3 //Multiply both sides by 3 and divide both sides by 4.
3V/4 = π r^3 //Divide both sides by π
(3V)/(4π) = r^3 //Cube root on both sides.
3√ (3V/4π)
NOTE: 3√ means cube root and not 3 times square root. Everything inside the root is cube root (3V)/(4π).
//Hope it helps.
For this case we have that by definition, the volume of a sphere is given by:
[tex]V = \frac {4} {3} * \pi * r ^ 3[/tex]
We must find the solution for "r", clearing:
Multiplying by 3 on both sides of the equation:
[tex]3V = 4 * \pi * r ^ 3[/tex]
We divide between[tex]4 * \pi[/tex] on both sides of the equation:
[tex]\frac {3V} {4 \pi} = r ^ 3[/tex]
Finally, we apply cubic root on both sides of the equation:
[tex]r = \sqrt [3] {\frac {3V} {4 \pi}}[/tex]
Answer:
[tex]r = \sqrt [3] {\frac {3V} {4 \pi}}[/tex]
Which ratio is equivalent to 9/39
Answer:
3:13
Step-by-step explanation:
Just simplify it all the way, leaving you with 3/13 if you divide both numbers by three, then you can convert it to a ratio there.
Answer:
3:13
Step-by-step explanation:
What is 40% of 120?
Answer:
39% of 120 = ? ... 41% of 120 = ?
1% of 120 = ?
40% × 120 =
(40 ÷ 100) × 120 =
(40 × 120) ÷ 100 =
4,800 ÷ 100 =
48
Answer:
48
Step-by-step explanation:
A city is planning to replace one of its water storage tanks with a larger one. The city's old tank is a circular night with a radius of 12 feet and a volume of 10,000 cubic feet. The new tank is a right circular cylinder with a radius of 15 feet and the same height as the old tank. What is the maximum number of cubic feet of water in the new storage tank will hold?
Answer: 15,625 ft³
Step-by-step explanation:
You need to use the formula for calculate the volume of a cylinder:
[tex]V=r^2h\pi[/tex]
Where r is the radius and h is the height.
You know the radius and the volume of the old tank, therefore you can find the height as following:
[tex]10,000=(12)^2h\pi\\\\h=\frac{10,000}{(144)\pi}ft[/tex]
You know that the radius of the new tank is 15 feet and it has the same height as the old tank. Therefore, you can substitute h into the first equation for calculate the volume of a cylinder, to find the maximum number of cubic feet of water that the new storage tank will hold:
[tex]V=(15ft)^2(\frac{10,000}{(144)\pi}ft)\pi=15,625ft^3[/tex]
Answer:
15625 cubic feet
Step-by-step explanation:
please help! ASAPPP! ❤️❤️❤️❤️❤️
80,000,000 in scientific notation would look like this...
8 x 10^7
It’s as simple as that. Let me know if you need any more help understanding!
Answer: 8×10^7
explanation: when doing scientific notation, you want the number(8) to be less than 10 so you would move the decimal left 7 places so it becomes 8.0000000, and then you would take 8 and put it in the equation so it's 8×10^7
The corresponding sides of ΔABC and ΔDEF have equal lengths. The area of ΔABC is 4 square units, and the longest side of ΔDEF is 5 units long. What is the area of ΔDEF? PLEASE HELP!!
Answer:
The area of ΔDEF will be [tex]4[/tex] square units.
Step-by-step explanation:
The area of [tex]\triangle ABC[/tex] is [tex]4[/tex] square units.
The corresponding side lengths of [tex]\triangle ABC[/tex] and [tex]\triangle[/tex]DEF are equal.
That means, two triangles are congruent according to [tex]SSS[/tex] postulate.
So, their area will be also equal.
Thus, the area of ΔDEF will be [tex]4[/tex] square units.
In the figure which pair of segments appear to be parallel
FG and JH are two parallel line segments
Answer:
FG and JH
Step-by-step explanation:
Obviously, FJ and GH are not parallel. So the only remaining pair of lines are fg and jh.
therefore, FG and JH appear to be parallel.
Please help with function homework.
The maximum height occurs at the vertex found using t = -b/2a
The time = t=-20/2*-5 = -20/-10 = 2 seconds.
Now replace t with 2 in the equation to solve for the height:
h(t) = -5t^2 +20t +1
h(2) = -5(2)^2 +20(2) +1
h(2) = -5(4) + 40 + 1
h(2) = -20 + 41
h(2) = 21 meters.
Maximum height was 21 meters at 2 seconds.
Solve and graph the inequality
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
[tex]\left|x\right|<18[/tex]
we know that
The absolute value function has two solutions
case positive
[tex]+(x)<18[/tex]
The solution is the interval------> (-∞,18)
All real numbers less than 18
In a number line is the shaded area to the left at point x=18 (open circle)
case negative
[tex]-(x)<18[/tex]
Multiply by -1 both sides
[tex](x)>-18[/tex]
The solution is the interval------> (-18,∞)
All real numbers greater than -18
In a number line is the shaded area to the right at point x=-18 (open circle)
therefore
The solution of the inequality
[tex]\left|x\right|<18[/tex]
All real numbers greater than -18 and less than 18
see the attached figure to better understand the problem
3 plus two times blank equals 17 what is the blank?
the area of a square garden is 1/36 mi 2 how long is each side
Answer:
1/6 meters
Step-by-step explanation:
Let the side length be x.
Then the area of the square = x^2
∴ x^2 = 1/36
√(x^2) = √(1^2 / 6^2)
x = 1/6
Therefore, the side length is 1/6 meters.
Hope it helped you!!!
Andy painted his house he used 1/4 of his paint to paint 5 walls how much paint did he use on the walls if he used the same amount of paint on each wall
Answer:
1/20 or 0.05 on each wall
Step-by-step explanation:
Answer:
1/20! 1/4 divided by 5 is 1/20.
Step-by-step explanation:
What is the pattern in the values as the exponents increase?
Answer:
Multiply the previous value by 3.
Step-by-step explanation:
The correct pattern in the values as the exponents increase is - Multiply the previous value by 3.
We can see, that [tex]3^{-1}[/tex] is [tex]\frac{1}{3}[/tex]
And in the next step, [tex]3^0[/tex] is [tex]\frac{1}{3}\times3=1[/tex]
In the next step, [tex]3^1[/tex] is [tex]1\times3=3[/tex]
In the last step, [tex]3^2[/tex] is [tex]3\times3=9[/tex]
So, at each step, 3 is multiplied to the previous product/value.
Therefore, the correct answer is last option.
Answer: D. Multiply the previous value by 3
Step-by-step explanation: got it right on edgunuity 2020-2021. Hope this helps!
BEST ANSWER GETS BRAINLIEST For the expression 6 − y + 3, determine the coefficient for the variable term
−1
0
3
6
What is the value of 4 + 5x when x = 3? =
11
12
17
19
1. The answer would be -1 because the variable term is -y which can also be written as -1y and the coefficient is the number before the variable.
2. The answer would be 19. If you plug 3 into the equation for x you would get 4 + 5(3). Five times three is 15, and 15 plus 4 is 19.
Please come answer ASAP!!!
5 - n divided by 3 = 4 what is the value of n?
Hey there!
The equation we have been given is 5 - n/3 = -4.
Let's start by subtracting 5 from each side.
-n/3 = -9
Multiply each side by 3.
-n = -27
Multiply each side by -1.
n = 27
Check our answer.
5 - 27/3 = -4
5 - 9 = -4
-4 = -4
The value of n is 27.
Hope this helps!
Which is a measure of the efficiency of an investment? A. return rate B. return on investment C. efficiency coefficient
Answer:
[tex]\bold{Return \ Of \ Investment}[/tex]
Step-by-step explanation:
Return Of Investment: The performance used to evaluate the efficiency of an investment or compare the efficiency of a number of different investments.
It is a performance level used to compare the efficiency of one investment or more to several or just one more investments. They also evaluate the efficiency of one investment.
Return Of Investment (ROI) is very popular because it is simple, skilled and resourceful. If an investments ROI is net is positive, this tells them that it is worthwhile and has some use to it. If it is low, it lets people know that this is probably not the best solutions, and to not waste their time on something that won't work anyway.
[tex]\boxed{\bold{Mordancy}}[/tex]
Answer: B
Step-by-step explanation:
B. Return on investment .
What number should both sides of the equation be multiplied by to solve for x?x/4.5 = 6
Answer:
multiply by 4.5 to get x = 27
Step-by-step explanation:
Both sides should be multiplied by 4.5
x / 4.5 = 6
x = 27
Answer:
what she said cuz she was right but the answer on oddsy ware is 4.5
Step-by-step explanation:
H/6-1=-3 solve for H
Add 1 to both sides
h/6 = -3 + 1
Simplify -3 + 1 to -2
h/6 = -2
Multiply both sides by 6
h = -2 * 6
Simplify 2 * 6 to 12
h = -12
Please help!!! Suppose a new student starts school today and your teacher asks you to teach her how to find decimal equivalents for fractions. What would you tell her? How would you convince the student that your method works?
Everyone has there own style.
1. Wouldn't they know how to do it already?
If not...
2. Is there a calculator available? If there is just tell them to divide the numerator by the denominator.
If not...
3. You'll have to use long division and get the answers.
Hope this helps, cheers.
Will mark brainliest!!!!!!!! Show work!!!14
So in interest is given once a year.
Year's interest = 200 × 12%
= 200× 12/100 = $24
2 Years' interest = 24 × 2 = $48
Money paid for loan
= 200 + 48
= $248
Ans = $248
Happy to help. Marking me the brainliest would really be appreciated.
Answer:
The amount you pay to the loaner is $248 but the amount of intrest you paid is $48
Step-by-step explanation:
Your Intrest is 12% so the decimal of that is .12. so Multiply .12 with 200, to find out 12% of 200
200 x .12 =24
so 12% of 200 is 24. But also 24 is the amount of intrest you would pay for 1 year. since you have to pay for TWO years multipy 24 by 2
24 x 2 = 48
so you pay $48 in intrest
Hope this helps!
Choose the correct correspondence
1<->
Options
1.< 2
2.< 3
3.< 4
Answer:
Angle 2
Step-by-step explanation:
Looking at triangles ABD and ACD, they have parts which correspond. These parts are located in the same location in each triangle.
Angle 1 corresponds to Angle 2.
Answer:
The angle ∡1 is equivalent to ∡2
Step-by-step explanation:
We need to start with one reasonable assumption on the image to understand the thought process: "In the rhomboid at the left side, the length of AB is equal to AC".
If we trace a line from B to C, the left side of the rhomboid will be an isosceles triangle (see attached image).
One of the characteristics of these triangles is that if we trace a line directly from the vertex A to the opposite side (line BC) it splits the angle by half, so one half would be ∡1 and the other would be the answer: ∡2
What is the volume of an cylinder shown below with radius of 11 and height of 12
Answer:
4561.6 units squared
Step-by-step explanation:
The volume of a cylinder is defined by this equation: πr2h
r = radius = 11 units
h = height = 12 units
π = pi = 3.14152...etc. (In your case, just use 3.14)
So you plug these into the equation:
πr2h = (3.14) x (12) x (11^2)
Here, we will write squared as a number ^2, meaning that you multiply that number by itself twice.
Since 11 x 11 = 121, we can now solve for the volume:
(3.14) x (12) x (121) = 4561.6 units^2
PLEASE HELP ME, im offering 20 points!
Answer:
this is a whole math test which question do you need help with
Step-by-step explanation:
Chloe needs 80 hot dogs for her party. If each hot dog package has 8 hot dogs, how many packages of hot dogs does Chloe need to buy?
Answer:
10 Packages.
Step-by-step explanation:
8 * 10 = 80
Final answer:
To find out how many packages of hot dogs Chloe needs to buy, divide the total number of hot dogs she needs by the number of hot dogs in each package. Chloe needs to buy 10 packages of hot dogs.
Explanation:
To find out how many packages of hot dogs Chloe needs to buy, we need to divide the total number of hot dogs she needs by the number of hot dogs in each package.
80 hot dogs ÷ 8 hot dogs per package = 10 packages
Chloe needs to buy 10 packages of hot dogs.
The figure shows two intersecting lines and the measures of the resulting angles.
What is the value of y?
Answer:
y= 114
Step-by-step explanation:
1) (4x+ 2x- 12+ 20)=180
First find x (22)
2) (2x+20)+y=180
Plug in x
3) y=114
The values of x and y are 16 and 124 respectively when the angles (4x - 12) and (2x + 20) are vertically opposite and one of these angles forms a linear pair with angle y.
Explanation:The subject of this question is mathematics, focusing on geometry and algebra. Vertically opposite angles are equal. Hence, (4x-12) = (2x+20). Solving for x, we get x = 16.
Also, it is mentioned that one of the angles forms a linear pair with angle y. A linear pair means that the two angles add up to 180 degrees. So, y + (2x+20) = 180. Substituting x = 16 in this equation and solving for y, we find that y = 124.
Learn more about Vertically opposite angles here:https://brainly.com/question/30195817
#SPJ2
A recipe calls for of a cup of milk for 10 cookies. How many cups of milk are needed to make 60 cookies?
Answer: 6 cups of milk
Step-by-step explanation:
1 cup =10 cookies
60 cookies divided 10 cookies= 6cups
George's dog has a mass of 6 kg what is the mass of the dog in grams
Answer: 6000, you simply multiply the mass by 1000
Which of these numbers are irrational?
I just need to know if im right or not Lol
Answer: The answer is A
use the given parent function f(x) = [x] to graph g(x) = [x]+3
Answer:
Shift the graph up 3 units.
9/11 = ?/22 math is killing me any good answers
9/11 = x/22
9*22 = 11x
198 = 11x | :11
x = 18
I need help please. 2nd box: meters, cubic meters, or square meters.
Answer:
I believe it is meters
Step-by-step explanation:
I think so because the rectangle is labeled with meters
To find out area of a rectangle it is (l*w)
In this case it is 9m*7m which is 63 metres squared
Area is 63 metres squared
To find out perimeter of a rectangle we do 2(l*w)
In this case it is (2*9)+(2*7) which is 9+9+7+7=18+14 which is 32
Perimeter is 32 metres