Answers
The volume of the space not filled by the sphere is the difference between the volume of a cube with edge length 6 inches and the volume of a sphere with radius 3 inches.
CubeThe volume of a cube of edge length s is
... V = s³
When the edge length is 6 in, the volume is
... V = (6 in)³ = 216 in³
SphereThe volume of a sphere with radius r is
... V = (4/3)π·r³
When the radius is 3 in, the volume is
... V = (4/3)π·(3 in)³ = 36π in³
SpaceThen the volume of the space between the cube and the sphere is
... Vcube - Vsphere = 216 in³ - 36π in³ ≈ 102.9 in³ . . . . corresponding to choice C
Related Questions
A sandwich shop has 30 stores and 60% of the stores are in California. The rest of the stores are in Nevada. How many stores are in California amd bow many are in Nevada?
Answers
There are 18 stores in California.
30 - 18 = 12
Theee are 12 stores in Nevada.
Answer:
18
Step-by-step explanation:
A right triangle has one leg that is 17 centimeters shorter then the other. If the hypotenuse is 25 what is the length of the two legs
Answers
x^2 +(x +17)^2 = 25^2
2x^2 +34x +289 = 625
x^2 +17x -168 = 0
(x -7)(x +24) = 0 . . . . . the zero product rule tells you x=7 is the solution
The shorter leg is 7 cm; the longer one is 24 cm.
For the number -5/8 name the opposite, reciprocal and absolute value
opposite:
Reciprocal:
Absolute value:
Answers
reciprocal- -8/5
absolute value- 5/8
solve the system of equations algebraically.
Answers
what does x=? I know it is vertical
Answers
7x + x + 20 = 180
8x = 160
x = 20
We know a vertical line = 180 degrees
x + 20 + 7x = 180
we can simplify this
20 + 8x = 180
To solve this, we can work backwards.
180 - 20 = 160
8x = 160
160/8 = 20
x = 20 degrees
Hope I helped!
Let me know if you need anything else!
~ Zoe
How do you do question number 5? If you do it can you please explain how to do it? Thank you!!
Answers
H(2) = -5(2) + 7 = -10 + 7 = -3.
F(-3) + H(2) = -15 + -3 = -18.
The solution is -18.
Answer:
F(-3) = 4(-3) - 3 = -12 - 3 = -15.
H(2) = -5(2) + 7 = -10 + 7 = -3.
F(-3) + H(2) = -15 + -3 = -18.
The solution is -18.F(-3) = 4(-3) - 3 = -12 - 3 = -15.
H(2) = -5(2) + 7 = -10 + 7 = -3.
F(-3) + H(2) = -15 + -3 = -18.
Step-by-step explanation:
what id is 29/4 improper
Answers
By doing this, we would be able to find the improper fraction.
In the decimal form, this would be 7.25
And in the mixed number, it would look like:
[tex]\boxed{7 \frac{1}{4} }[/tex]
The bottom denominator always stays the same!
[tex]7 \frac{1}{4} [/tex] is the fraction as a mixed number
7.25 is the fraction as a decimal
725% is the fraction as a percent
hope this helps
A theater company charges $9.50 per ticket for people of all age groups. If c represents the total number of children who bought tickets an a represents the total number of adults who bought tickets, which expression best represents the total money earned by the company from the sale of tickets?
Answers
Question
A theater company charges $9.50 per ticket for people of all age groups. If c represents the total number of children who bought tickets an a represents the total number of adults who bought tickets, which expression best represents the total money earned by the company from the sale of tickets?
Answer:
10.50c + a
PLZ GIVE BRAINLYEST!!!
Giving brainiest+points need explanation on this one my answer is 25 is it right?
Answers
Find the points on the surface 4 x^2 + 4 y^2 + 1 z^2 = 1 at which the tangent plane is parallel to the plane -4 x - 4 y + 4 z = -8.
Answers
Solve this derivative using the quotient rule
Answers
How to find turning point of (c-2)^3+8
Answers
The function has a point of inflection at (2, 8), where the curve is horizontal, but does not reverse direction.
to find the turning point, you must have a function, so let's set this expression equal to y.
y=(c-2)^3+8
y'=3(c-2)^2
Now set y' equal to 0...
3(c-2)^2=0
3(c-2)(c-2)=0
c=2
Now that we know c=2, plug this in to the original equation to get the y-value for the turning point.
The turning point is (2,y) we will find y now...
y=(2-2)^3+8
y=0+8
y=8
The turning point is at (2,8)
The explanation for this is that the x values of the zeros of the derivative function are the same as the x values as the turning points on the original function.
I really hope this helps!
Best wishes :)
F = {(-1, 2), (3, 2), (4, 2), (0, 2)} Is F a function and why/why not?
Answers
Richard goes to the electronics store. He buys 2 memory cards that cost $8.99 each and 3 packages of batteries that are on sale for $7.47 each. He also buys a case for his cell phone for $2.99 and a wireless headset for $29.99. What is the total cost of Richard’s items, before sales tax?
Answers
Richard's items cost $73.37 before sales tax is added.
Expand the log as a sun or difference
Answers
= ((1/2)*2*log(3) -4*log(x) -1/3*log(3))/log(a)
= ((2/3)*log(3) -4*log(x))/log(a)
= [tex]\frac{2}{3}\log_a{(3)}-4\log_a{(x)}[/tex]
[tex]\bf log_a\left( \cfrac{9^{\frac{1}{2}}}{x^43^{\frac{1}{3}}} \right)\implies log_a\left( 9^{\frac{1}{2}} \right)-log_a\left( x^43^{\frac{1}{3}} \right) \\\\\\ log_a\left( 9^{\frac{1}{2}} \right)-\left[ log_a\left( x^4 \right)+log_a\left( 3^{\frac{1}{3}} \right) \right] \\\\\\ log_a\left( 9^{\frac{1}{2}} \right)-log_a\left( x^4 \right)-log_a\left( 3^{\frac{1}{3}} \right)\\\\\\ \cfrac{1}{2}log_a(9)-4log_a(x)-\cfrac{1}{3}log_a(3)[/tex]
or more expanded so as
[tex]\bf \cfrac{1}{2}log_a(3^2)-4log_a(x)-\cfrac{1}{3}log_a(3) \\\\\\ \cfrac{1}{2}\cdot 2log_a(3)-4log_a(x)-\cfrac{1}{3}log_a(3) \\\\\\ log_a(3)-4log_a(x)-\cfrac{1}{3}log_a(3)[/tex]
PLEASE HURRY!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Exponential Growth/Decay Function
The value of a car is $21,500. It loses 12% of its value every year.
(a) Write a function that represents the value y (in dollars) of the car after x years. (b) Use the function to estimate the value of the car after 6 years. (round your answer to the nearest whole number)
Answers
how to we get radius
Answers
0.5x+78.2=287 whats the value of x
Answers
-78.2 -78.2 SUBTRACT 78.2
0.5x=208.8
/.5 /.5 DIVIDE BY .5
x=417.6 ANSWER
Elevator 1 moved up 10 feet from the ground level. Its position is labeled as +10. Elevator 2 moved down 5 feet from the ground level. Its position is labeled as _____. (Use the hyphen for negative such as -1)
Answers
simplify 4 (-w + 8) by distributing.
Answers
you multiply 4 and -w, 4 and 8.
so
-4w + 32
during the rice of industrialization in the 1840s the majority of immigrants come from
Answers
Hope this helps!
Volume is always measured in square units. True False
Answers
The answer is option B "false".
Reason:
The answer is false because the volume can be measure in anyway for example: feet, yards.
If you need anymore help feel free to ask me!
Hope this helps!
~Nonportrit
This statement would be know to be (false).
Volume is something that is used to help add what is already measured. Volume can be measured in all different aspects, not only using squared units. This would be false because volume has to ability to be measure in any way that it would want to, but it would only have to complete its purpose, to add what the object is.
Your answer: False.
Write equations for the horizontal and vertical lines passing through the point (5, -6)
Horizontal line:
Vertical line:
Answers
How much money does the average professional football fan spend on food at a single football game? that question was posed to 10 randomly selected football fans. the sample results provided a sample mean and standard deviation of $14.00 and $2.50, respectively. use this information to construct a 90% confidence interval for the mean?
Answers
When the mean ([tex]\bar{x}[/tex]), the number of samples (n) and standard deviation (σ) are known, you can apply the following equation to determine confidence intervals. The value of z at 90% confidence can be found in tables (It is 1,645).
[tex](\bar{x}-z* \frac{\sigma}{ \sqrt{n} },\bar{x}+z* \frac{\sigma}{ \sqrt{n} }) \\ \\ (14-1,645* \frac{2,50}{ \sqrt{10} },14+1,645* \frac{2,50}{ \sqrt{10} } \\ \\ (12,70\$;15,30\$) [/tex]
Have a nice day!
The tangent line has the form y=mx+b . use tl above to find b +juliabox
Answers
which collection of three side lengths will not form a triangle
6, 10 18
10, 12 ,15
10, 15, 6
10, 18 ,12 please tell me how you figured it out.
Answers
lets calculate the sums of all the given choices to find out which three lengths given do not form a triangle.
A.
6,10,18
6 + 10 = 16
16 is smaller than the third side-18
Therefore these 3 lengths do not form a triangle
B.10,12,15
10 + 12 = 22 15+12 = 27 15 + 10 = 25
22>15 (3rd side) 27>10 (3rd side) 25>12 (3rd side)
In this triangle, sum of all the possible pairs of sides are greater than the third side therefore these lengths can form a triangle
C.10,15,6
10 + 15 = 25 15 + 6 = 21 10+6 = 16
25 > 6 21>10 16>15
in this too, sum of all the possible pairs of sides are greater than the third side. These lengths can be used to form a triangle
D.10,18 ,12
10 + 18 = 28 18 + 12 = 30 10 +12 = 22
28> 12 30>10 22> 18
Therefore these lengths can also be used to form a triangle
correct answer is 6,10 and 18 these cannot form a triangle
To determine if a collection of three side lengths will form a triangle, we use the triangle inequality theorem. This theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. By applying this theorem to each collection of side lengths given, we can determine which ones will form a triangle.
Explanation:A triangle is a three-sided figure lying on a plane with three angles adding up to 180 degrees. To determine if a collection of three side lengths will form a triangle, we use the triangle inequality theorem. According to this theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
For the collection 6, 10, 18, the sum of the two smaller sides (6 + 10) is less than the largest side (18), so this collection will not form a triangle.For the collection 10, 12, 15, the sum of the two smaller sides (10 + 12) is greater than the largest side (15), so this collection will form a triangle.For the collection 10, 15, 6, the sum of the two smaller sides (6 + 10) is greater than the largest side (15), so this collection will form a triangle.For the collection 10, 18, 12, the sum of the two smaller sides (10 + 12) is greater than the largest side (18), so this collection will form a triangle.List 3 values that would make this inequality true 4n <_ 12
Answers
[tex]4n \le 12[/tex]
[tex]\frac{4n}{4} \le \frac{12}{4}[/tex]
[tex]n \le 3[/tex]
So we can pick n to be 3 or it can be less than 3
Three values we can pick are: n = 0, n = 1, n = 2
Or we could pick: n = 1, n = 2, n = 3
What is the slope of the line that goes through (2, 5) and (-6, -2) ?
Answers
slope = 7/8
Explanation:
Slope of the line can be calculated using the following equation:
slope = [tex] \frac{y2 - y1}{x2 - x1} [/tex]
The two points given are:
(2,5) representing (x1 , y1)
(-6,-2) representing (x2 , y2)
Substitute with the points in the above equation to get the slope as follows:
slope = [tex] \frac{-2 - 5}{-6 - 2} [/tex] = 7/8
Hope this helps :)
geometric mean for 12 and 3
Answers
answer
Geometric mean for 12 and 3 = 6
To find the geometric mean, you multiply the numbers and then find the square root.
12*3= 36
The square root of 36 is 6.
The geometric mean is 6.
I hope this helps!
~kaikers
Hannah keeps her marbles in bags with for marbles in each bag she writes 3/4 to show the number of red marbles in each bag find another fraction to name the number of red marbles in 2 bags
Answers
She keeps 4 marbles in every bag and mark it with 3/4 to represent red marbles in the bag. It means there are 3 Red marbles out of total 4 marbles in the bag.
It says to write another fraction to represent number of red marbles in two bags.
Since one-bag contains 3 Red marbles out of total 4 marbles in the bag.
Then two-bags would contain 2x3 Red marbles out of total 2x4 marbles in the bag i.e. 6 Red marbles out of total 8 marbles in the bag.
So, [tex] \frac{6}{8} [/tex] is the another fraction to show number of red marbles.