Answer:
Solution :-Volume of sphere = 4/3 πr³
Volume = 4/3 × 3.14 × 8³
Volume = 4/3 × 3.14 × 512
Volume = 4/3 × 1607.68
Volume = 2143 in³
[tex] \\ [/tex]
Radius of the sphere is 8 units.
To Find:-The volume of the sphere.
Solution:-We know, volume of sphere is [tex] \frac{4}{3} [/tex]πr³
So, volume of sphere = [tex] \frac{4}{3} [/tex] × 3.14 × 8 × 8 × 8
= [tex] \frac{6430.72}{3} [/tex]
= 2143.6
The volume of the sphere is 2143.6 cubic units. [Answer]Solve this system of equations: (picture is there)
List the solution (x,y) for this set of systems of equations and then explain how you found the solution.
Step-by-step explanation:
[tex](x...y = (2...4)| [/tex]
Answer:
x = 2, y = 4
Step-by-step explanation:
We can solve the system of equations using substitution. (We can't use elimination for a problem like this because there's no addition or subtraction in the first equation, and besides, it would make it longer.)
Replace the y value in [x = -y + 6] with "2x", because y = 2x.
x = -2x + 6
From there, we can solve the linear equation.
x = -2x + 6
add 2x to both sides
3x = 6
divide by 3
x = 2
From x, we can also figure out what y equals.
Replace the x value in [y = 2x] with "2", because x = 2.
y = 2*2
y = 4
x = 2 and y = 4
What are the cordinates of the point on the directed line segment from -3 -9 to 4 5 that partitions the segment into a ratio of 5 to 2
Answer:
[tex](x,y) = (2,1)[/tex]
Step-by-step explanation:
Given
Coordinate: (-3,-9) and (4,5)
Ratio= 5 : 2
Required
Determine the point at the segment
The coordinate of the point is calculated using:
[tex](x,y) = [\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n}][/tex]
Where:
[tex]m : n=5:2[/tex]
[tex](x_1,y_1) = (-3,-9)[/tex]
[tex](x_2,y_2) = (4,5)[/tex]
So, we have:
[tex](x,y) = [\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n}][/tex]
[tex](x,y) = [\frac{5 * 4 + 2 * -3}{5+2},\frac{5*5+2*-9}{5+2}][/tex]
[tex](x,y) = [\frac{14}{7},\frac{7}{7}][/tex]
[tex](x,y) = (2,1)[/tex]
The coordinate of the point is: (2,1)
Ordan is cutting a 2 m 2 m2, start text, space, m, end text by 1 1 4 m 1 4 1 m1, start fraction, 1, divided by, 4, end fraction, start text, space, m, end text piece of rectangular paper into two pieces along its diagonal. Find the area of each of the pieces. m 2 m
Answer:
5/4 m²
Step-by-step explanation:
Jordan is cutting 2 m by 1 1/4 m piece of rectangular paper into 2 pieces along its diagonal.What is the area of each of the pieces.
Length of the rectangular paper = 2m
width of the rectangular paper = 1 1/4m
Area of a rectangle = Length × width
= 2 × 1 1/4
= 2 × 5/4
= (2 * 5)/4
= 10/4 m²
Area of a rectangle = 10/4 m²
Diagonal divides the rectangle into 2 equal pieces
Divide area of the rectangle by 2
Area of each piece of the diagonal = Area of the rectangle / 2
= 10/4 m² / 2
= 10/4 ÷ 2
= 10/4 × 1/2
= (10*1) / (4*2)
= 10/8
= 5/4 m²
Area of each piece of the diagonal = 5/4 m²
Tina bought a bracelet for $5.24 and a necklace for $9.89. What is her total cost?
Answer:
15.13
Step-by-step explanation:
Michael breeds chickens and ducks.
Last month, he sold 50 chickens and 30 ducks for $550. This month, he sold 44 chickens and 36 ducks for $532.
How much does a chicken cost, and how much does a duck cost?
A chicken costs $_____ and a duck costs $_____.
Answer:
Chicken:$8 Ducks:$5
Step-by-step explanation:
Let's assume
Chickens= c
Ducks=d
50c + 30d = 550 (divide this by 10)--- 5c+3d=55
44c + 36d = 532 (divide this by 4)--- 11c+9d=133
Solving simultaneously:
5c + 3d = 55 (x9)
11c + 9d = 133 (x3)
45c + 27d = 495
33c + 27d = 399
By subtraction we get:
(45c-33c+27d-27d)= 96
12c = 96
Chicken = $ 8 (96/12)
Ducks: 50(8)+ 30d = 550
30d = 150
Ducks = $5 (150/30)
 What is the volume of this cone?
Answer: C
Step-by-step explanation:
The sum of ages of Paula and her mother is 48. Her mother is 12 years more than twice as old as Paula. Use a linear system to determine the ages of Paula and her mother.
Answer:
72
Step-by-step explanation:
12 times 6 is 72
48 + 24 =72
What’s the answer to the question -7x + 15 = 36
Answer:
x= -3
Step-by-step explanation:
-7x +15 - 15 = 36 - 15
-7x = 21
-7x ÷ -7 = 21 ÷ -7
x= -3
Answer:
Um.....
-3
Sorry if calculated wrong..
Last summer, a sports club had 370 members. This summer, due to some renovations, it has
10% fewer members. How many members are there now?
members
Submit
Answer:
333 members
Step-by-step explanation:
10% of 370 is 37
370-37=333
what would the volume be if the diameter is 6 and the height is 8 of a cylinder in inches
Plss show all work step by step
Answer:
72π
Step-by-step explanation:
Please see the attached image. r is the radius and h is the height.
The radius is half the diameter, so it is 6/2=3.
The height is given, 8.
Knowing the radius is 3 and the height is 8, all we need to do is plug it into the formula.
Volume=π3^2*8
=72π
or
≈226.19
Just make sure to help me out when I need it. Thx!
Answer:
okay i will
Step-by-step explanation:
What is the value of x to the nearest tenth?
29.6
X
73°
33°
Need help please!!!! Brainiest if answered correctly!!!! No link, it will be reported!!
Write the equation for a circle with a center at (-7 , -4) and a radius of 2.
Answer:
(x + 7)² + (y + 4) ² = 2²
Step-by-step explanation:
Start with the standard equation of a circle with center at (h, k) and radius r:
(x - h)² + (y - k)² = r²
Here we are given that h = -7, k = -4 and r = 2, and so we obtain:
(x + 7)² + (y + 4) ² = 2²
Step-by-step explanation:
The answer is above, as well as the equation used to get to the answer.
Answer YES if is a Right Triangle or NO if is not
Prove that each example below is a Pythagorean triple.
Part A: 77,420,427
Select)
Part B: 279,440,521
Select)
Part C: 39,760,761
[Select
HELP PLEASEEE
Answer:
Part A: yes
Part B: yes
Part C: yes
Step-by-step explanation:
Part A:
77² + 420² = 427²
5,929 + 176,400 = 182,329
182,329 = 182,329
---------------------------------------------------------
Part B:
279² + 440² = 521²
77,841 + 193,600 = 271,441
271,441 = 271,441
----------------------------------------------------------
Part C:
39² + 760² = 761²
1,521 + 577,600 = 579,121
579121 = 579,121
----------------------------------------------------------
A ship at sea is 70 miles from one radio transmitter and 130 miles from another. The bearing from the ship to transmitter 1 is N38.1°E and the bearing to transmitter 2 is S 22.4°E . Find the distance between the two transmitters.
Answer:
volved with elements and compounds composed of atoms, molecules and ions: their composition, structure, properties, behavior and the changes they undergo during a reaction with other substances.
can someone help me please?
Answer:
25/28 thats your answer
7.
If cos θ= 0.866, find θ, writing your answer to the nearest degree.
See attachment for reply and answer.
Given y varies directly as x, find the constant of variation k.
I’m on a time limit and I really have no clue what this is. Please help!!!!
Answer:
2/8
Step-by-step explanation:
I think, I am not sure
If 3 is 1/4 what is the whole? (Division)
Answer:
12
Step-by-step explanation:
12 divided by 4 is 3 or 12 split into 4 even parts is 3
3. 3 3. 3
1/4. 1/4 1/4. 1/4
A line of best fit for a data set has equation y = 3x - 4. What y-value would you predict for an x-value of 8 in this data set?
A 4
B. 8
C. 16
D. 20
Answer:
D. 20
Step-by-step explanation:
The line of best fit for the equation is:
[tex]y = 3x - 4[/tex]
When x = 8
We have to find y. So
[tex]y = 3*8 - 4 = 24 - 4 = 20[/tex]
So the correct answer is given by option D.
can someone please factor this expression 27/x³- 8
Answer:
(3x-2) (9xsquare+6x+4)
Answer:
Answer is below
Step-by-step explanation:
[tex]\frac{27}{x^{3} } -8= (\frac{3}{x})^{3} -2^{3} =(\frac{3}{x} -2)(\frac{9}{x^{2}}+\frac{6}{x}+4)[/tex]
( from formula (a³ – b³) = (a – b)(a² + b² + ab) )
Dominic buys a 64-ounce container of salad mix. About how many ounces of romaine lettuce does the container have?
Answer:
6 oz
Step-by-step explanation:
https://brainly.in/question/28460456
Answer:
options on graph:
lceberg- 40%
romaine- 27%
spinash- 15%
arugula- 12%
carrots- 6%
answer is C. is 18oz.
Step-by-step explanation:
multiply 64 x .27%= 18oz
DO NOT ANSWER IF YOU ARENT GOING TO HELP
Answer:
The four small cones combined will hold more ice cream than the big one.
Step-by-step explanation:
Find the area of a triangle with a base of 9 feet and hypotenuse length of 13 feet
Answer:
42.21 ft^2
Step-by-step explanation:
The formula: A=1 /2b √ c2﹣b2
c=hypotenuse
b=base
Question Progress
Homework Progress
37141 Marks
In a class of 32 students
the mean height of the 14 boys is 1.56 metres
the mean height of all 32 students is 1.515 metres.
Work out the mean height of the girls.
In a 30% off sale, the price of an item is reduced by £27.
What is the original cost of the item?
Answer: the original cost of the item is 90$
Step-by-step explanation:
30% off of the item = 27$
27 dollar is 30% of the item
thus 27 = 0.30X
0.30X = 27
time both side by 10
3X = 270
270/3 = 90
Rohan dropped a lacrosse ball from a building.
After each bounce, the height of the ball is measured and recorded in the table.
Bounce Number Height (cm) After Bounce
1 10,240
2 2,560
3 640
4 160
Write an explicit and recursive formula to represent the sequence of the height of the ball after each bounce.
What is the height of the ball after bounce 8? Explain your answer by using one of the formulas you created.
Answer:
The nth bounce a sub n is 0.25 (a sub n-1)
0.625 cm
Recursive formula of the sequence → [tex]T_n=10240(\frac{1}{4})^{n-1}[/tex]
Explicit formula of the sequence → [tex]T_1=10240, \\T_{n+1}=T_n(0.25)[/tex]
Height of the ball after 8th bounce will be 0.625 cm.
Geometric sequence and its explicit and recursive formula,If a sequence is in the form of [tex]ar,ar,ar^2,ar^3.....[/tex] n terms,Sequence will be the geometric sequence and the explicit formula
of the sequence will be,
[tex]T_n=ar^{n-1}[/tex]
Here, [tex]a=[/tex] First term
[tex]r=[/tex] Common ratio
[tex]n=[/tex] Number of terms
Similarly, recursive formula will be,[tex]a=[/tex] First term
[tex]T_{n+1}=T_n(r)[/tex]
From the table attached,
There is common ratio between the successive term and previous term under the column (height after the bounce) is,
[tex]\frac{T_2}{T_1}=\frac{2560}{10240}=\frac{1}{4}[/tex]
[tex]\frac{T_3}{T_2}=\frac{640}{2560}=\frac{1}{4}[/tex]
Therefore, height of the ball after each bounce will represent a geometric sequence.
Explicit formula of a geometric sequence will be given by the expression,
[tex]T_n=10240(\frac{1}{4})^{n-1}[/tex]
Recursive formula for the sequence will be,
[tex]T_1=10240[/tex]
[tex]T_{n+1}=T_n(\frac{1}{4})[/tex]
By using recursive formula,
Height of the ball after 8th bounce,
[tex]T_8=10240(\frac{1}{4})^{8-1}[/tex]
[tex]=10240(0.25)7[/tex]
[tex]=0.625[/tex] cm
Therefore, explicit formula to represent the height of the ball will be [tex]T_n=10240(\frac{1}{4})^{n-1}[/tex]recursive formula will be, [tex]T_1=10240\\T_{n+1}=T_n(0.25)[/tex]
And height of the ball after 8th bounce will be 0.625 cm.
Learn more about the geometric sequence here,
https://brainly.com/question/25250161?referrer=searchResults
Harry has a cube with a side length of 7 cm. What is the volume of Harry's cube?
Given,
Side = 7 cm
We know that,
Volume of a cube = side³
So, volume of Harry's cube
= (7 cm)³
= 343 cm³
Hi, here's a quick explanation;
if the given length is 7, and your object is a cube,
you'd cube 7,
which is = 7³
aka: 7 × 7 × 7
therefore,
the answer is 343.Hope this helps you out!! :D