Answers
Answer:
a) V = (8 -4/3π)r³
b) 2048(2 -π/3) cm³ ≈ 1951.34 cm³
Step-by-step explanation:
When a sphere is placed in a box the empty space volume is the difference between the box volume and the sphere volume. Here, the box is a cube with the same outside dimensions as the sphere.
__
a. (formula)The side length of the cube is 2r, where r is the radius of the sphere. So, the volume of the cube is ...
V = s³ = (2r)³ = 8r³
The volume of the sphere is given by the formula ...
V = 4/3πr³
The volume of the empty space is the difference of these:
V = (8r³) -(4/3πr³)
V = (8 -4/3π)r³ . . . . . . . formula for the empty volume
__
b. (empty space)For r=8 cm, the empty volume is ...
V = (8 -4/3π)(8 cm)³ = 4(2 -π/3)(512 cm³)
V = 2048(2 -π/3) cm³ ≈ 1951.34 cm³ . . . . empty volume
Related Questions
Select the expressions that have a value less than -1.
A. -7 ÷ (-4)
B. – (3 ÷ 2)
C. -8/5 x (-5/8)
D. -5/-3
E. (-9) ÷ 6
Answers
Answer:
B and E
Step-by-step explanation:
A. -7 ÷ (-4) = -7/-4 = 7/4 = 1.75
B. -(3 ÷ 2) = -(1.5) = -1.5
C. -8/5 * (-5/8) = (8/5) * (5/8) = 1
D. -5/-3 = 5/3 ≈ 1.667
E. -9 ÷ 6 = -9/6 = -1.5
Given P(A) = 0.22, P(B) = 0.26, and P(B|A) = 0.26, are A and B independent or dependent?
Answers
Answer:
Independent
Step-by-step explanation:
there equal to different things (?)
Hope that was correct :)
Find the area of the parallelogram. (the far right number is 10.5m and the bottom is 12m)
84 m2
96 m2
126 m2
108 m2
Answers
HI BRAINLY USER!!
⊱─━━━━━━━━━⊱༻●༺⊰━━━━━━━━━─⊰JUST CLICK THE ATTACHMENT PHOTO SolutionA = bh = 10.5·12 = 126Ans :➝ 126 m2
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What is the mean of the data set?
14, 19, 18, 12, 22, 15, 16, 16, 14, 14, 21, 20
15.75
16.00
16.75
19.50
Answers
Answer:
16.75
Step-by-step explanation:
The mean of a set of numbers is the sum divided by the number of terms.
Answer:
16.8125 or 16.8
Step-by-step explanation:
Which algebraic rule describes the translation of ADEF to AD'E'F?
Answers
Answer:
B: (x, y) --> (x + 4, y - 3)
Step-by-step explanation:
the shape DEF went to the right along the x axis wich increased x and then went down the y axis or decreased y to make D'E'F'
some good way to remember these translations and orders are...
- x is first when plotting points, then y (x, y)
- x increases going right, and decreases going left, as well as y increasing going up, then decreasing going down
BONUS FACT:
the symbol ( ' ) is called a prime when refering to transformations and geometry ((as in D' is pronounced D prime))
Find the volume, in cubic feet, of the solid with the regular base to the nearest tenth.
Answers
Answer:
Step-by-step explanation:
Remark
The base of the figure is a pentagon
The area of the base of a pentagon is
A=(1/4) * √[5(5+2√5)] * s2
The Formula for the Volume of a "pyramid" of this nature is
Volume = Base * h / 3
Givens
h = 10 feet
s = 8 feet
Base = formula in the remark section
Solution.
Find the base first.
A=(1/4) * √[5(5+2√ 5)] * s2 Find the value of 5 + 2√5
Area = 0.25√[5*(9.47)] * s^2 Find what is under the root sign
Area = 0.25√47.36 * s^2 Take the square root of 47.36. use s = 8
Area = 0.25 * 6.88 * 8^2 Combine.
Area = 110.11
Now find the volume
V = B * h/3
V = 110.11 * 10 / 3
V = 367.04 cubic feet.
I think of a number. If I subtract 9 from it and multiply this difference by 4, the
result is 128.
Answers
Answer:
you were thinking of 41
Step-by-step explanation:
(x-9)*4=128
(x-9)=128/4
(x-9)=32
x=32+9
x=41
Answer:
41
Step-by-step explanation:
Let n be the number
Subtract 9
n-9
Multiply this by 4
4(n-9)
The result is 128
4(n-9)=128
To find the number divide each side by 4
4(n-9)/4=128/4
n-9 = 32
Add 9 to each side
n-9+9 = 32+9
n = 41
Algebra Write an expression representing the volume of the composite figure
formed by a hemisphere with radius r and a cube with side length 2r.
Answers
The expression that represents the volume of the composite figure is 16/3πr³ + r³
The expression that represents the volume?The given parameters are:
Hemisphere radius = rCube length = rThe volume of a cube is:
V = l³
So, we have:
V = r³
The volume of a hemisphere is:
V = (2/3)πr³
So, we have:
V = (2/3)π(2r)³
Evaluate
V = (2/3)π * 8r³
This gives
V = 16/3πr³
Add both volumes
Volume = 16/3πr³ + r³
Hence, the expression that represents the volume of the figure is 16/3πr³ + r³
Read more about composite figure at:
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Two-digit natural numbers are formed, with replacement, from the digits 0 through 9.
How many numbers are greater than 55?
Answers
Answer:
45 two digit odd numbers are possible.
A man traveled 24 miles in 20 minutes and 18 miles in 15 minutes. Assume that the distance varies linearly with time. How far will he travel in 30 minutes
Answers
Step-by-step explanation:
First we need to get his speed:
speed = distance / time
If he travelled 24 miles in 20 mintues, his speed is 24 / 20 = 1.2 miles per minute
If he travelled 18 miles in 15 minutes, his speed is 18 / 15 = 1.2 miles per minute
Those two should give us the same answer since it says that the distance varies linear with time, which means that his speed is constant.
Then after 30 minutes he will have traveled: 1.2 x 30 = 36 miles
please mark me as brainliest
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answers
Answer:
[tex]\sf x=\boxed{18.21}[/tex]
Step-by-step explanation:
Assuming this is a right triangle.
Trigonometric ratios
[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]
where:
[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angleH is the hypotenuseGiven:
[tex]\theta[/tex] = 35°O = xA = 26[tex]\implies \sf \tan(35^{\circ})=\dfrac{x}{26}[/tex]
[tex]\implies \sf x=26\tan(35^{\circ})[/tex]
[tex]\implies \sf x=18.20539599...[/tex]
Therefore, x = 18.21 (nearest hundredth)
Please see attached photo for problem from my homework set.
Answers
Answer:
see below
Step-by-step explanation:
(7y +9 )(7y +9 ) or (7y+9)^2 you ALMOST had it...just missed the parentheses !
A rectangular window has a height of 5 1/2 feet and a width of 1 1/2 feet. What is the perimeter of the window?
A. 7 feet
B. 13 feet
C. 14 feet
D. 28 feet
Answers
Answer:
Your answer is C, 14ft
Step-by-step explanation:
Your Given Measurements (in feet):
Height = 5 1/2 ; Width = 1 1/2
___________________________________________________
The Perimeter Formula:
L + W + L + W = P
In this case, the "L" which is length going to get substituted as Height.
5 1/2 is 5.5 because if you do 1/2 on the calculator, you get 0.5 which you can add 5 to get 5.5.
1 1/2 is 1.5 which is the same as the 5 1/2.
____________________________________________________
Now do 5.5 + 1.5 + 5.5 + 1.5 = perimeter
5.5 + 1.5 = 7
7 + 7 = 14ft
Your answer is C: 14 ft
NO LINKS!!! THIS IS NOT MULTIPLE CHOICE!!!
When you list all of the possible outcomes in a sample space by following an organized system (an orderly process), it is called a systematic list. There are different strategies that may help you make a systematic list, but what is most important is that you methodically follow your system until it is complete.
To get home, Renae can take one of 4 buses: #41, #28, #55, or #81. Once she is on a bus, she will randomly select one of the following equally likely activities: listening to her MP3 player, writing a letter, or reading a book.
a. Create the sample space of all possible ways Renae can get home and do one activity by making a systematic list.
b. Use your sample space to find the following probabilites:
i. P(Renae takes an odd-numbered bus)
ii. P(Renae does not write a letter)
iii. P(Renae catches #28 bus and then reads a book)
c. Does her activity depend on which bus she takes? Explain why or why not.
Answers
Answer:
Part (a)
see attached for sample space
Part (b)
[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
Total number of possible outcomes = 12
[tex]\textsf{P(Renae takes an odd-numbered bus)}= \dfrac{9}{12}=\dfrac34[/tex]
[tex]\textsf{P(Renae does not write a letter)}= \dfrac{8}{12}=\dfrac23[/tex]
[tex]\textsf{P(Renae catches no.28 bus then reads a book)}= \dfrac{1}{12}[/tex]
Part (c)
Her activity does not depend on which bus she takes, as we have been told that once she is on the bus, she randomly selects the activity. Therefore, the activity selection is independent from the bus selection.
The sample space confirms this as it shows that the probability of the selecting each activity is equally likely for each of the 4 buses.
IM NOT UNDERSTAND THIS EQUATION CAN SOMEBODY HELP ME
Answers
Answer:
x = 0, mult: 3x = -4, mult: 2x = -5, mult: 2Step-by-step explanation:
When a polynomial is shown in factored form, its zeros are the values of x that make the factors zero.
The factor x is zero when x=0.
The factor (x+4) is zero when x=-4.
The factor (x+5) is zero when x=-5.
__
The multiplicity of a zero is the number of times a given factor is a factor of the polynomial. It is the exponent of the factor.
x = 0 has multiplicity 3.
x = -4 has multiplicity 2.
x = -5 has multiplicity 2.
which graph shows the image of the triangle after transforming at using the rule Z (x,y) (x,-y)
Answers
Answer:See the attached figure. The original triangle is shown in red (triangle ABC). The line of reflection is the blue dashed line. This is the equation y = x. Reflecting triangle ABC over the line y = x results in the purple triangle A'B'C'.
Note how the x and y values swap places.
We have...
point A = (5,1) turn into point A' = (1,5)
point B = (8,1) turn into point B' = (1,8)
point C = (8,6) turn into point B' = (6,8)
The swap occurs because the rule (x,y) --> (y,x) tells this to happen.
The purple triangle is the final answer.
Step-by-step explanation:
Based only on the information given in the diagram, which congruence
theorems or postulates could be given as reasons why ACDE=AOPQ?
Check all that apply.
Q
96
U
A.
B. HA
C. HL
D. AAS
E. LL
F. ASA
SAS
Answers
The congruence theorems or postulates that could be given as reasons why ACDE=AOPQ are:
AASHAASAWhat is this congruence theorems about?Note that in the diagram, there has been given one side that is congruent to its other corresponding side and as such, it has remove the option or postulates that needs the HL and SAS sides.
Conclusively, when all three angles are said to be congruent and when they have one side (known as the hypotenuse), one can use the congruence theorems or postulates of AAS, HA and ASA.
Learn more about congruence theorems from
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The number of wins in the American Baseball League, Central Division, for a recent year is given in the table. Find the mean number of wins. Round your answer to one decimal place.
The mean number of wins for the five teams is ______wins?
Answers
Answer:
add sll number so you will get answer
dd
Step-by-step explanation:
to the nearest hundredth how many cm are in 18in? (1 in = 2.54 cm)
Answers
Answer:
45.72
Step-by-step explanation:
Since 1 inch is 2.54, you multiply 2.54 by 18 to find 18 inches in centimeters.
What is the result of adding -3x²-5x +1 and 8x²-2x-9?
Answers
Hi!
Your answer is [tex]5x^2-7x-8[/tex].
We are asked:
[tex](-3x^2-5x+1)+(8x^2-2x-9)[/tex]
As we are adding them, we can remove the parenthesis.
[tex]-3x^2-5x+1+8x^2-2x-9[/tex]
Now, we can switch the order of the terms around to cause like terms to be by each other:
[tex]-3x^2+8x^2-5x-2x+1-9[/tex]
Finally, add like terms:
[tex]5x^2-7x-8[/tex]
5x² -7x -8 is the result of adding the polynomials -3x²-5x +1 and 8x²-2x-9. The result obtained by combining the like terms.
The two polynomials are -3x²-5x +1 and 8x²-2x-9.
To add the two polynomials, you simply combine like terms.
Like terms are terms that have the same variable raised to the same power.
In this case, the variables are x² and x.
Let's add the given polynomials:
= -3x²-5x +1 + 8x²-2x-9
Group the like terms:
= -3x²+ 8x²-5x-2x+1-9
Combine like terms:
= 5x² -7x -8
Hence, 5x² -7x -8 is the result of adding -3x²-5x +1 and 8x²-2x-9.
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the circumference of a circular patio is 53.38 Ft what is the area of the patio use 3.14 for an approximation for pi
Answers
[tex]\textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=53.38 \end{cases}\implies 53.38=2\pi r\implies \cfrac{53.38}{2\pi }=r\implies \cfrac{26.69}{\pi }=r \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2~\hspace{6em}A=\pi \left( \cfrac{26.69}{\pi } \right)^2\implies A=\cfrac{26.69^2}{\pi }\implies \stackrel{using~\pi =3.14}{A\approx 226.87}[/tex]
Help please easy question please help please
Answers
Answer:
y = 4x - 11
Step-by-step explanation:
Point-Slope Form: [tex](y-y_0)=m(x-x_o)[/tex]
Given information:
y = 4x - 7. Through (3,1)
m = 4.
Thus, using m = 4 and point (3,1) in Point-Slope Form can make another equation that is parallel to y = 4x - 7.
[tex](y-y_0)=m(x-x_o)\\\\(y-(1))=4(x-(3))\\\\y-1=4(x-3)\\\\y-1=4x-12\\\\y=4x-11[/tex]
13-18 Express the quantity as a single logarithm.
13. [tex]2 \ln x+3 \ln y-\ln z[/tex]
Answers
[tex]2 \ln x+ 3 \ln y - \ln z\\\\=\ln x^2 + \ln y^3 - \ln z\\\\=\ln(x^2 y^3) - \ln z\\\\=\ln \left( \dfrac{x^2y^3}{z} \right)[/tex]
Hattie has 2 red toys and 3 blue toys. What is the probability she will play with a blue toy?
3/5
3/4
2/5
1/2
Answers
Answer:
3/5
Step-by-step explanation:
If she have 2 red toys and 3 blue toys, then she have 5 toys.
She can take one of 3 blue toys from 5 toys (I hope that you know what I mean)
Her chance is 3/5 to take the blue one
In the problem: "63% of what number is 792?" the number being sought is the
Answers
Answer:
Set up an equation using these key terms:
63% can be considered 63/100'what number' can represent 'x'(our unknown value).'of' means multiplication'-is 792' means the product is equal to 792Form the equation by piecing these key terms together:
63/100(63%) ×(of) X(The number being sought) = 792("-is 792)
63/100 × X = 792
(63/100 can be simplified to 0.63)
So, rewrite the equation to:
0.63 × X = 792
Solve for x!
0.63x = 792
Isolate 'x' by dividing 0.63 from both sides because the inverse operation of multiplication is division.
÷0.63 ÷0.63
x = 1,257.14285714 which can be rounded to 1,257.14.
Therefore, the number being sought is 1,257.14.
Find the volume of the pyramid.
A pentagonal pyramid with base labeled as B equals 210 square inches. The height of the pyramid is 30 inches.
Answers
Answer:
6300in
Step-by-step explanation:
vol=base area x height
210x30
=6300in
If you earn $48,000 per year, how much will you receive on a biweekly basis?
Answers
$48,000 a year is $1,846.15 biweekly before taxes and approximately $1,384.62 after taxes. Paying a tax rate of around 25% and working full-time at 40 hours a week, you would earn $1,384.62 after taxes. To calculate how much you make biweekly before taxes, you would multiply $23.08 by 40 hours and 2 weeks
Answer:
$48,000 ÷ 26 = $1,846.15
I hope this helps!!
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answers
Answer:
okay let's start
Step-by-step explanation:
[tex]use \: sine \: rule \\ \frac{x}{ \sin(31) } = \frac{42}{ \sin(59) } \: \: taking \: angle \: at \: c \: as \: 90 \\ x = \frac{ 42 \sin(31)}{ \sin(59)} \\ x = 25.236146[/tex]
Factor y² + 10z - 10y-yz.
A. (z-y)(y-10)
B. (y-z)(y-10)
C. (y-z)(10 - y)
Answers
Answer:
Option B, [tex](y - z)(y-10)[/tex]
Step-by-step explanation:
Step 1: Factor out y and -z
[tex]y^2 - 10y - yz + 10z[/tex]
[tex]y(y - 10) - z(y - 10)[/tex]
[tex](y - z)(y-10)[/tex]
Answer: Option B, [tex](y - z)(y-10)[/tex]
Answer:
The answer is B,
(y-z)(y-10)
Step-by-step explanation:
y^(2) + 10z - 10y-yz
Add and subtract the second term to the expression and factor by grouping.
=(y-z)(y-10)
Sandra 11.2 kilometers after school while her brother ran 8000 meters who ran more ?
Answers
Answer:
Sandra ran more. She would have ran a total of 11,200 meters. While her brother only ran 8,000 meters. Now to find excatly how much did she go? Well subtract 11,200-8,000 to get an answer of 3200. So Sandra ran 3,200 meters father then her brother.
Step-by-step explanation:
Hope This Helps
Have A Great Day
~Zero~
Answer: Sandra
Step-by-step explanation: Because 11.2 kilometers is a bigger number then 8,000 and also 11.2 kilometers is 11,000.2 and 8,000 as an kilometer is 8. Hope it Helps