Answer:
[tex]d = 1.2973\pi r^3[/tex]
Step-by-step explanation:
Given
[tex]R_1 = r[/tex]
[tex]R_2 = 0.3[/tex]
Required
The difference in their volumes
The volume of a sphere is:
[tex]V = \frac{4}{3}\pi r^3[/tex]
So, the difference d is:
[tex]d = \frac{4}{3}\pi [R_1^3 - R_2^3][/tex]
[tex]d = \frac{4}{3}\pi [r^3 - (0.3r)^3][/tex]
[tex]d = \frac{4}{3}\pi [r^3 - 0.027r^3][/tex]
[tex]d = \frac{4}{3}\pi *0.973r^3[/tex]
[tex]d = \frac{3.892}{3}\pi r^3[/tex]
[tex]d = 1.2973\pi r^3[/tex]
Volume is a three-dimensional scalar quantity. The difference in the volume between a sphere with radius r and a sphere with radius 0.3r is 4.0757r³ unit³.
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
The volume of the sphere with radius(r) is,
Volume = (4/3)×π×r³
The volume of the sphere with radius (0.3r) is,
Volume = (4/3)×π×(0.3r)³
The difference in the volume between a sphere with radius r and a sphere with radius 0.3r is,
Difference = [(4/3)×π×r³] - [(4/3)×π×(0.3r)³]
= (4/3)πr³[1-0.027]
= (4/3)πr³(0.973)
= 4.0757r³ unit³
Hence, The difference in the volume between a sphere with radius r and a sphere with radius 0.3r is 4.0757r³ unit³.
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What is the first quartile of 13,25,25,29,18,15,32
Answer:
The first lower quartile is 15
The median is 25
Step-by-step explanation:
What are the coordinates of the vertex of the graph of the function y=-x^2+ 6x -11?
A. (3.-2)
B. (3.16)
C. (-3, -29)
D. (-3, -20)
Answer:
Hi! The answer to your question is D. (-3, -20)
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
Stay Safe!!!
- Brooklynn Deka
Can some one please explain how to do this? 1.253 x 7.4 =
Answer:
9.2722
Step-by-step explanation:
7.400
*1.252
_____
9.2722
Its simple, plz rate 5 str, thx, and brailiest
find the quotient 5 2/3 ÷ 3/5 leave answer as a mixed number in simplest form.
Answer:
[tex]9\frac{4}{9}[/tex]
Step-by-step explanation:
Exact from:
[tex]\frac{85}{9}[/tex]
Decimal Form:
9.4
Mixed Number Form:
[tex]9\frac{4}{9}[/tex]
Give me Brainllest
Sarah normally earns £600 each month. In December she is given a bonus of 1/5 of her normal pay. How much will she now earn this month?
Answer:
720
Step-by-step explanation:
First you divide 600 by 5 to get 1/5 if the 600 which is 120
Then you add the 120 to the 600 which is your answer 720
At the beginning of the year, Evelyn had $30 in savings and saved an additional $12 each week thereafter. Cooper started the year with $75 and saved $7 every week. Let E E represent the amount of money Evelyn has saved t t weeks after the beginning of the year and let C C represent the amount of money Cooper has saved t t weeks after the beginning of the year. Write an equation for each situation, in terms of t , t, and determine the interval of time when Evelyn has more in savings than Cooper.
Answer:
E=12t+30 C=7t+75
Evelyn has more in savings than Cooper when t > 9 weeks.Step-by-step explanation:
3(5)+2(w-1)=
Cual es el valor de la expresión algebraica?
Answer:
distribute
2(w-1)
a(b-c)=ab-ac
(3)(5)+(2)(w)+(2)(−1)
=15+2w+−2
combine like terms
15+2w+−2
=(2w)+(15+−2)
=
2w+13Step-by-step explanation:
https://qcv.gg/rXpglU
Help plsssss What is x
Answer:
X = 8
Step-by-step explanation:
Kindly check the image below for the relationship between two segments in a circle that intersect
A * B = C * D
This relationship is important to understand when trying to solve for x in this type of problem
Now imagine that A = 15 B = x C = 10 and D = 12
Now we want to create an equation
( Using the relationship )
15 * x = 12 * 10
Now we solve for x using basic algebra
12 * 10 = 120
15x = 120
* divide each side by 15 *
15x/15 = x
120 / 15 = 8
we're left with x = 8
help please! need it asap
Answer:
[tex]x = 6[/tex]
Step-by-step explanation:
These right triangles are similar due to the Angle Angle Similarity Theorem.
This means their side lengths are proportional
We need to find the corresponding sides of the inner triangle and full right triangle.
7 corresponds with 7 and 3.5
4 corresponds with x.
Set up proportion.
[tex] \frac{4}{7} = \frac{x}{7 + 3.5} [/tex]
[tex] \frac{4}{7} = \frac{x}{10.5} [/tex]
[tex]42 = 7x[/tex]
[tex]x = 6[/tex]
Using the graph, determine the coordinates of the x-intercepts of the parabola.
In a cookie mix, we find ginger cookie, molasses cookies, and pinwheel cookie in a ratio of 1:2:7. If a bag of the mix contains 126 pinwheel cookie, How many ginger cookies are there?
Answer:
Step-by-step explanation:It must be an equal ratio- 2:3:7 = n:n:112
Now, to find the other numbers (n) in the ratio, we have to find the relationship between the two proportions.
To get from 7 to 112, we must multiply by 16. This is the relationship.
So, we must multiply both, the walnut and raisin cookies by 16 also.
2 x 16 = 32 = Raisin
3 x 16 = 48 = Walnut
Already known: 112 = Pinwheel
Now that we have all the data, we can make the ratio.
Raisin : Walnut : Pinwheel
32 : 48 : 112
Hope this helps! :)
Solve for x using
multiplication.
cross
X - 2
x3
x + 2
=
4
3
x = [?]
Answer:
x = 14Step-by-step explanation:
[tex] \frac{x - 2}{3} = \frac{x + 2}{4} [/tex]
=> 4(x-2) = 3(x+2) [Cross Multiplication]
=> 4x - 8 = 3x + 6
=> 4x - 3x = 8 + 6
=> x = 14 (Ans)
What is the value of x?
The horizontal value in a pair of coordinates: how far along the point is. The X Coordinate is always written first in an ordered pair of coordinates (x,y), such as (12,5). In this example, the value "12" is the X Coordinate. Also called "Abscissa" See: Coordinates.
If this doesn’t answer your question, then do you have any further information?
the measure of one side of a square is x+5. which expression represent the area and perimeter of the square?
Answer:
A= x^2 P=4s
Step-by-step explanation:
Area of a square
Perimeter= 4s
Area= (the length of one side) ^2
Data set: 47, 45, 44, 41, 48
1. Find the mean.
Mean = 47 + 45 + 44 + 41 + 48
5
= 225
5
= 45
2. Find each absolute deviation.
Absolute deviations: 2, 0, 1, 4, 3
What is the mean absolute deviation (MAD) for the data set?
Answer:
2
Step-by-step explanation:
Answer:
The answer is 2, i did the instruction on edge already.
Step-by-step explanation:
11. Find the sum
2 1/2 + 1 3/4=
Answer:
It should be 4.25.
PLEASE HELP ME GIVING LOTS OF POINTS AND BRAINLIEST TO THE FIRST LEGIT ANSWER!!!
Meg plotted the graph below to show the relationship between the temperature of her city and the number of people at a swimming pool:
Main title on the graph is Swimming Pool Population. Graph shows 0 to 30 on x axis at increments of 5 and 0 to 12 on y axis at increments of 1. The label on the x axis is Temperature in degree C, and the label on the y axis is Number of People at the Pool. Dots are made at the ordered pairs 2.5, 1 and 5, 2 and 7.5, 2 and 7.5, 3 and 7.5, 4 and 10, 5 and 10, 6 and 12.5, 6 and 15, 7 and 15, 8 and 17.5, 5 and 17.5, 7 and 20, 9 and 22.5, 7 and 22.5, 9 and 25, 11 and 27.5, 12.
Part A: In your own words, describe the relationship between the temperature of the city and the number of people at the swimming pool. (5 points)
Part B: Describe how you can make the line of best fit. Write the approximate slope and y-intercept of the line of best fit. Show your work, including the points that you use to calculate slope and y-intercept. (5 points)
Answer:
As the temperature increases, the number of people at the pool increases.
Part B: I think the line best fit can be one that starts at (0,0), and goes up until (28,12). The approximate slope would be 0.42, and the y-intercept is 0.
SLOPE:
(28,12)
y / x = m
12 / 28 = 0.42
Y-INTERCEPT:
(0,0)
= 0
Step-by-step explanation:
PLEASE HELP WILL GIVE BRAINLIEST
Answer:
12.5%
Step-by-step explanation:
r = (1/4)((1500/1000) - 1) = 0.125
r = 0.125 = 12.5%
Find the standard deviation. Round to the nearest tenth.
8, 17, 13, 8, 9, 13, 14, 5,5
A. 4.0
B. 1.3
C. 4.5
D. 4.2
Answer:
c
Step-by-step explanation:
Is is right?
2/3 * n = 12
im not sure what this is please help
Answer:
n= 18
Step-by-step explanation:
:)
Answer:
18
Step-by-step explanation:
[tex]\frac{2}{3} *n=12\\\frac{2}{3} *n/\frac{2}{3} =12/\frac{2}{3} \\n=18[/tex]
The shape given below can be decomposed into which two figures? (Pick two)
Answer:
C and D
Step-by-step explanation:
I would chose this because the square will have all sides of 3 since all the sides are the same size it classifies as a square. Then a right triangle looking at the shape you would have left.
A rectangle is a four sided polygon having all the internal angles equal to 90 degrees. The shape given below can be decomposed into two figures, they are rectangle and right triangle. The correct options are A and D.
What is a trapezium?The trapezium is defined as a quadrilateral with one pair of parallel opposite sides. The parallel sides of a trapezium are called the bases and the non-parallel sides of a trapezium are known as legs. It is also called as the trapezoid.
A trapezium is a closed shape which has four sides and four angles. Anyone pair of opposite sides of a trapezium are parallel to each other. If the legs are of equal length, then it is called the isosceless trapezium.
A triangle in which one of its interior angles is equal to 90 degrees or any one angle is a right angle is the right triangle.
Thus the correct options are A and D.
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The paperweight shown below is in the shape of a square pyramid.
What is the volume of this paperweight?
Answer:45
Step-by-step explanation:
V=a2h
3=62·3.75
3=45
The vertices of the triangle shown are (-2, 2), (4, -1), and (-2, -3).
y
What is the area of the triangle?
O A 11 square units
OB 15 square units
o C.13 square units
O D. 17 square units
Answer: 15
Step-by-step explanation:
GIVE BRAINLIEST. Select the correct answer.
What is the value of x in the figure?
X
40°
70°
O A.
40°
O B.
70°
O C.
80°
OD
120°
O E.
150°
Answer:
E. 150°
Step-by-step explanation:
By exterior angle theorem:
[tex]x = 40 \degree + (70 - 180) \degree \\ x= 40 \degree + 110 \degree\\ x= 150 \degree[/tex]
Find the factored form of
10a + a2 = 0
Answer:
a = 0, -10
Step-by-step explanation:
I think this is correct but it may not be.
Answer:
Step-by-step explanation:
a(10+a)=0 or - i cant remember which one it was but hope this helps
15 players for a softball team show up for a game: (a) How many ways are there to choose 10 players to take the field? 3003 (b) How many ways are there to assign the 10 positions by selecting players from the 15 people who show up? 3003 (c) Of the 15 people who show up, 5 are women. How many ways are there to choose 10 players to take the field if at least one of these players must be a woman?
Answer:
(a) 3003 ways
(b) 10897286400 ways
(c) 3002 ways
Step-by-step explanation:
Given
[tex]n = 15[/tex] --- 15 players
Solving (a) Ways of selecting 10 players.
This implies combination.
So, we have:
[tex]r=10[/tex]
Using:
[tex]^nC_r = \frac{n!}{(n-r)!r!}[/tex]
We have:
[tex]^{15}C_{10} = \frac{15!}{(15-10)!10!}[/tex]
[tex]^{15}C_{10} = \frac{15!}{5!10!}[/tex]
Simplify
[tex]^{15}C_{10} = \frac{15*14*13*12*11*10!}{5!10!}[/tex]
[tex]^{15}C_{10} = \frac{15*14*13*12*11}{5!}[/tex]
[tex]^{15}C_{10} = \frac{15*14*13*12*11}{5*4*3*2*1}[/tex]
[tex]^{15}C_{10} = \frac{360360}{120}[/tex]
[tex]^{15}C_{10} = 3003[/tex]
Solving (b) Ways of assigning positions to 10 players.
This implies permutation.
So, we have:
[tex]r=10[/tex]
Using:
[tex]^nP_r = \frac{n!}{(n-r)!}[/tex]
We have:
[tex]^{15}P_{10} = \frac{15!}{(15-10)!}[/tex]
[tex]^{15}P_{10} = \frac{15!}{5!}[/tex]
Solve each factorial
[tex]^{15}P_{10} = \frac{1307674368000}{120}[/tex]
[tex]^{15}P_{10} = 10897286400[/tex]
Solving (c) Ways of choosing at least 1 woman
We have:
[tex]Men = 10[/tex]
[tex]Women = 5[/tex]
Ways of selecting 10 players is: (a) 3003 ways
Since the number of men are 10, there is 1 way of selecting 10 men (i.e. selection without women)
Using complement rule:
At least 1 woman = Total - No woman
[tex]At\ least\ 1\ woman = 3003 - 1[/tex]
[tex]At\ least\ 1\ woman = 3002[/tex]
Make x the subject of the formula
х
+12c = 5d
63
A square pyramid has a height of 6 meters the perimeter of the base is 40 meters what is the volume?
Answer: 1/3.(√3/4)×40×40 ×5√(5
Step-by-step explanation:
Answer:
200 m^3
Step-by-step explanation:
1) find the side of the base
side = 40 : 4 = 10 m
2) find the base area
base area = side^2 = 10^2 = 100 m^2
3) find the Volume
V = (base area x height)/3 = (100 x 6)/3 = 200m^3
what distance will the divider be set at the scribe a 02.8" circle? .75" or 1.4" or 2.8" or 5.6"
9514 1404 393
Answer:
(b) 1.4"
Step-by-step explanation:
A 2.8" circle is one that has a diameter of 2.8". The divider will be set to the radius, which is half the diameter.
The divider is set to 1.4".
Calculate the volume of a cuboid with length 5.6m breadth 4.1m, height 3.4m
Answer: 78.064 cubic meter
Step-by-step explanation:
volume of a cuboid=length × breadth × height.
=5.6*4.1*3.4
=78.064 cubic meter
