a sphere has a volume of 2,304 pi mm3. find the diameter of the sphere
Answers
Answer:
24
the formula of sphere is
[tex]v = \frac{4}{3} {r}^{3} [/tex]
Since we know the volume, and have to find the diameter (twice the radius), we need to determine the radius first.
Hence, using the given data:
[tex]2304\pi = \frac{4}{3} \pi {r}^{3} [/tex]
We can cancel
We can cancel π from each side.
[tex]2304 = \frac{4}{3} {r}^{3} [/tex]
Multiply both sides by
[tex] \frac{3}{4} [/tex]
hope I help you ☺️❤️
Related Questions
Help as soon as possible
Answers
What is Power rule, Product rule, Quotient rule and Chain rule? Detail please
Answers
When raising an exponential expression to a new power multiply the exponents.
For and Example|
Simplify: 7a^4 b^6)2
Solution: Each factor within the parentheses should be raised to the 2nd power.
7a^4 b^6)2 = 7^2(a4)2(b^6)2
You then simplify using the power Rule of Exponents.
7a^4 b^6)2 = 7^2(a4)2(b^6)2 = 49a^8 b^12
The power rule states that this derivative is n times the function raised to the (n-1) the power times the derivative of the function.
Product Rule|
When multiplying exponential expressions that have the same base, add the exponents.
Example:
Multiply: 4x^3 • -6x^2
Solution:
Multiply coefficients: 4 • -6 = -24
Use the product rule to multiply variables.
X^3 • x^2 = x^3 + 2 = x^5
4x^3 • -6x^2 = -24x^5
The power of product rule is a method for simplifying exponents and it states that a term raised to a power is equal to the product of its factors raised to the same power.
The product of two or more numbers is the result of multiplying these numbers.
Quotient Rule|
When dividing exponential expressions that have the same base, subtract the exponents.
Example:
Simplify: 8x^6/2x^3 = 4x^3
Solution:
Divide coefficients:
8 /2 = 4
Use the Quotient rule to divide variables:
X^6/x^3 = x6 - 3 = x^3
8x^6/ 2x^3 = 4x^3
The Quotient of two numbers is the result of the division of the numbers.
Chain Rule|
The general power rule is a special case of the chain rule. It is useful when finding the derivative of a function that is raised to the nth power.
((Hey I’m really tired so I hope this is good and helps you good luck!!))
Good Night fools!!!
PLEASE HURRY! WILL MARK BRAINLIEST IF CORRECT (Screenshot)
Answers
Answer:
The length of XY is 22.5
Step-by-step explanation:
Since you need to hurry I will not write an explanation
Hope this helps! :)
૮ ・ﻌ・ა
What is m% of n? Also what is m% of p% of n?
Answers
That would become mn/100.
Which is..
mn%.
Then for the part for m%*p%*n, you would do
M/100 * p/100 * n
=
mpn/100000.
It could be wrong, because i have not learned this before. But i am only using the methods i know to solve the problem. Good luck
Answer:
mnp/10000
Step-by-step explanation:
Same reasoning as above, but 100*100 is 10000 so there you go
Cameron wants to buy a camera for $259. He has $50 and plans to save $20 each week. How many weeks will it take to save enough money to buy the camera? (not including
sales tax)
Answers
Answer:
About 11 Weeks
Step-by-step explanation:
I found out by multiplying 11 by 20 and got 220. Then, adding 50 is 270, which is just over 259. It's not ten because 200 is just underneath his goal.
In a chess club there are 10 males and 15 females. What percentage of the club is females?
Answers
Answer:
60%
Step-by-step explanation:
15 out of 25 is 60%
25 is the total people in the club
Hope this helps
What is 1 1/2 divided by 8
Answers
Answer:
3/16
Step-by-step explanation:
start by converting 1 1/2 to an improper fraction by multiplying the 1 by the denomerator and then adding the 1 from teh numerator. Then place that all over the denomantor two. so you get 3/2
then set up your equation:
3/2 x 1/8
you do the resipricol of one of the numbers so instead of 8/1 we do 1/8
3 times 1= 3
2 times 8 is 16
3/16 does not simplify so thats your answer
Answer:
3/16
Step-by-step explanation:
((1 1/2)/8)=(3/2)/8
8 times 2(demoninator)=16
numerator stays same so the answer is 3/16
Please solve of r in the problem int the photo
Answers
[tex]r = \sqrt{\dfrac{3V}{\pi h}}[/tex]
Step-by-step explanation:
Multiply both sides by 3 to get
[tex]\pi r^2h = 3V[/tex]
Then divide both sides by [tex]\pi h[/tex] and you'll get
[tex]r^2 = \dfrac{3V}{\pi h}[/tex]
To solve for r , you need to take the square root of both sides to get
[tex]\sqrt{r^2} = r = \sqrt{\dfrac{3V}{\pi h}}[/tex]
Your friend says that the equations y - 9 = -5(x + 2) and y = -5x – 19 represent two different lines. Is your friend correct? Explain.
Answers
Answer:
Step-by-step explanation:
The second equation is y = -5x - 19
The first equation needs a little work
y - 9 = -5(x + 2) Remove the brackets
y - 9 = -5x - 10 Add 9 to both sides.
y = -5x -10 + 9 Combine
y = - 5x - 1
There are two lines there. They are parallel, but they never cross. The y intercepts are not equal and they don't lie on top of each other.
A rock is launched from a cannon. Its height, h(x), can be represented by a
quadratic function in terms of time, x, in
seconds.
After 1 second, the rock is 94 feet in the
air; after 2 seconds, it is 176 feet in the
air.
Complete the height function, h(x), for this situation
h(x) =
Answers
Answer:
The height, in feet, of the rock after 5 seconds = 875 feet
Step-by-step explanation:
basically almost finished it just stuck on the last part. The angle of elevation to a nearby tree from a point on the ground is
measured to be 46°. How tall is the tree if the point on the ground is 12 feetfrom the tree? Round your answer to the nearest tenth of a foot if necessary.
Answers
Answer:
12.4 ft
Step-by-step explanation:
Everything is done right so far.
Now to calculate the height of the tree, 12tan46, put the equation into a calculator.
Either a graphing calculator (make sure it is in degrees, not radians),
or the one on your phone (turn your phone landscape in the calculator app to get the trig functions.))
12tan46= 12.4 ft
Three more than the product of 24 and Matt's height
Answers
Answer:
24m + 3 or (24 × m) + 3
Step-by-step explanation:
product = multiplying
matts height = variable
more than = addition
add together and that's your algebraic expression hope this helps :)
A restaurant worker earns a set amount per hour from their employer. They also receive tips from customers. Their
earnings most closely rese]nble those of which of the following?
a. An employee working on straight commission
An employee working on commission plus salary
An employee working on a piece-rate basis
An employee working on a fixed salary
b.
C
d.
Please select the best answer from the choices provided
Ο Α
B
оооо
D
Mark this and return
Save and Exit
Next
Submit
Answers
Answer:
an employee working on commission plus salary.
Step-by-step explanation:
salary is the hourly rate
commission is tips
Answer:
B - An employee working on commission plus salary
Step-by-step explanation:
Jabari drives 20.4 miles in 17 minutes. He passes a sign which gives the speed limit as 55 mph. By how much, in mph, did Jabari's average speed exceed the speed limit?
Answers
Jabari's average speed exceed the speed limit by 17 miles per hour
Given:
Total distance = 20.4 miles
Time taken = 17 minutes
convert minutes to hour
60 minutes = 1 hour
17 minutes = 0.283333 hour
Average speed = Total distance ÷ Time taken
= 20.4 ÷ 0.283333
= 72.00008470598200
Approximately, 72 miles per hour
Speed limit = 55 miles per hour
Exceeded speed limit = 72 - 55
= 17 miles per hour
Therefore, Jabari's average speed exceed the speed limit by 17 miles per hour
Learn more about average speed:
https://brainly.com/question/4931057
I need help with this please hurry it's timed
Answers
Answer:
c 5.34
Step-by-step explanation:
Can someone help me please
Answers
is ( -5, 6) ( -2, 0) ( 0, 6) ( 0, 2) ( 1, -3) a function
Answers
Answer:
No
Step-by-step explanation:
No, ( -5, 6) ( -2, 0) ( 0, 6) ( 0, 2) ( 1, -3) do not make up a function. It does not pass the vertical line test when graphed, as there are 2 points, (-5, 6), and (0, 6), that lines up on the same y-value.
Select the values that make the inequality -4 g< 64 true. Then write an equivalent inequality, in terms of g
Answers
Answer:
g > -16
Step-by-step explanation:
-4 g< 64 (Given)
g > -16 (Sign flips sing you divided by a negative number)
Round 512.45 to the nearest ones place.
Answers
hope this helps!
The answer would be 512.
what is 1/4 of 5/6???
Answers
you search the LCD then you subtracted the top and left the bottom the same
Step-by-step explanation:
im not sure
1. Which calculation best matches the expression 3y + 2?
A. 3 times 2, plus y
B. 3 times y, plus 2
C. 3 times the sum ofy and 2
D. 3 times the difference of y and 2
Answers
The area of a rectangular dog run can be no more than 120 square feet. The length is 15 feet. What is the width of the dog run.
Answers
Answer:
Length x width= answer
so 15 x 8 = 120
Step-by-step explanation:
Which expression shows the result of applying the distributive property to 3 (1/5x - 1/7)
A. -3/5x + 3/7
B. 3/5x - 3/7
C. -3/5x - 3/7
D. 3/5x + 3/7
Answers
Hi,
3(1/5x - 1/7)
= 3/5x - 3/7
B
✅(◠‿◕)
Help. i need it ASAP
Answers
Answer:
The third choice is correct.
Step-by-step explanation:
Explain the step by step process of finding a function for a hyperbola given the center (1,4), vertices (-7,4) and (9,4), and a point on the hyperbola at (-11, -6). Make sure to include the location of the foci.
NO LINKS!!
Answers
Answer:
(x -1)²/64 -(y -4)²/80 = 1foci (-11, 4) and (13, 4)Step-by-step explanation:
The standard form of a hyperbola whose transverse axis is horizontal is ...
(x -h)²/a² -(y -k)²/b² = 1 . . . . center (h, k); transverse axis 2a; conjugate axis 2b
The distance between the two vertices is given as (9 -(-7)) = 16 = 2a, so the value of a is 8 and we have the partial equation ...
(x -1)²/8² -(y -4)²/b² = 1
Filling in the given point value gives us an equation for b².
(-11 -1)²/8² -(-6 -4)²/b² = 1
9/4 -100/b² = 1
5/4 = 100/b²
b² = 80
So, the equation is ...
(x -1)²/64 +(y -4)²/80 = 1
__
The distance between the foci is 2c, where c² = a² +b².
c² = 64 +80 = 144 = 12²
c = 12, so the foci are at ...
(x, y) = (1 ±12, 4) . . . . . . . 12 units either side of the center
The foci are (-11, 4) and (13, 4).
_____
Additional comment
The steps are ...
use the given information to fill in as much of the equation as you can.use any given points or additional information to find the unknown values in the equationdetermine any additional information asked for (foci, asymptotes, ...)The relevant relations are ...
2a = length of transverse axis (distance between vertices)
2b = length of conjugate axis (distance between co-vertices)
±b/a = slope of asymptotes, which are lines through the center
2c = distance between foci, where c² = a² +b²
The equation is (x -h)²/a² -(y -k)²/b² = 1 for a hyperbola that opens horizontally with center (h, k). Swapping variables x and y will give a hyperbola that opens vertically. If the figure opens vertically, the asymptotes will have slope ±a/b.
The distances from a point to the foci have a constant difference of 2a.
Help me plz it’s number 11 I need this urgent
Answers
Answer:
f = -9
Step-by-step explanation:
3(x)
3(-9)
-27
What is the slope of the line?
Answers
Answer:
1/4
Step-by-step explanation:
Answer:
m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}
m = slope
(x_1, y_1) = coordinates of first point in the line
(x_2, y_2) = coordinates of second point in the line
Question
The width of the rectangle is 40% of its length. What is the area of the rectangle?
The length is 20 feet. What is the anwser in feet squared
Answers
Answer:
160 ft²
Step-by-step explanation:
The width is 40% of the length, so is ...
0.40 × 20 ft = 8 ft
The area is the product of length and width:
A = LW
A = (20 ft)(8 ft) = 160 ft²
three movie tickets cost 36$ at this same rate how much do 12 tickets cost
Answers
Answer:
$144
Step-by-step explanation:
Each ticket is $12.
Janessa recently increased the size of his Jeep tires from the original P230/85R18 to the larger P250/85R21. If Janessa didn’t recalibrate her odometer, how far did she really travel on the new tires when her odometer shows she has traveled 23425 miles?
Answers
The distance Janessa traveled on the new tires with the given size is 26,470.25 miles.
The given parameters:
Original size of the tire, = P230/85R18The width of the smaller tire, = 230 mmAspect ratio, = 85%Larger size of the tire, = P250/85R21The width of the larger tire, = 250 mmAspect ratio, = 85%Reading of the odometer = 23,425 milesThe diameter of the smaller tire is calculated as follows;
[tex]0.85 = \frac{h}{230} \\\\h = 0.85 \times 230 \\\\h = 195.5 \ mm\\\\h = 195.5 \ mm \times \frac{1 \ in}{25.4 \ mm} \\\\h = 7.7 \ in[/tex]
diameter of the smaller tire;
D = 2(7.7 in) + 18 in
D = 33.4 in
The circumference of the smaller tire;
[tex]C_1 = \pi D\\\\C_1 = 3.142 \times 33.4 \\\\C_1 = 104.94 \ in[/tex]
The diameter of the larger tire is calculated as follows;
[tex]0.85 = \frac{h}{250} \\\\h = 0.85 \times 250 \\\\h = 212.5 \ mm\\\\h = 212.5 \ mm \times \frac{1 \ in}{25.4 \ mm} \\\\h = 8.37 \ in[/tex]
diameter of the larger tire;
D = 2(8.37 in) + 21 in
D = 37.74 in
The circumference of the larger tire;
[tex]C_2 = \pi D\\\\C_2 = 3.142 \times 37.74 \\\\C_2 = 118.58 \ in[/tex]
After one rotation, the larger tire will travel the following distance more than the smaller tire;
[tex]n = \frac{C_2}{C_1} = \frac{118.58}{104.94} = 1.13[/tex]
The distance Janessa traveled on the new tires when her odometer shows she has traveled 23425 miles;
[tex]distance = 1.13 \times 23,425\\\\distance = 26,470.25 \ miles[/tex]
Learn more about tire sizes and distance traveled: https://brainly.com/question/4822144
