The volume of the stones will be 384 inch³.he volume of the stone is found by subtracting the volume before stones and the volume after stones in the container.
What is volume?The term “volume” refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic inch.
Volume before the stones are put in the container is;
[tex]\rm V_1 = L bh \\\\ V_1= 4 \times 16 \times 8 \\\\ V_1= 512 \ inch^3[/tex]
The volume after the stones are put in the container is;
[tex]\rm V_2= 7 \times 16 \times 8 \\\\\ V_2= 896 \ inch^3 \\\\[/tex]
The volume of the stone is found by subtracting the volume before stones and the volume after stones;
[tex]\rm V = V_2-V_1 \\\\\ V=896-512 \\\\ V_2= 384 \ inch^3[/tex]
Hence,the volume of the stones will be 384 inch³.
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2
Two figures are similar, and the scale factor is
2
Over
3
If a side of the larger figure is 12, then the corresponding side in the smaller figure is…..
6
8
12
18
Choose an answer
Hector is sowing grass seed in his yard. A bag of grass seed
covers an area of 50 square feet. Hector's front yard is
49 feet long and 11 feet wide. He will not be planting grass
in his backyard. How many bags of grass seed will Hector
need, rounded up to the nearest bag?
a. 9 bags
b. 10 bags
c. 11 bags
help me please :/
Dana is training to run a marathon. On Monday, she ran 10.2 miles. On Tuesday, she ran 11.4 miles. On Wednesday and Thursday, she ran 11.8 miles each day. On Friday, she ran 12.3 miles. Round each amount to the nearest whole mile to find a reasonable estimate of the total number of miles Dana ran over this five-day period.
Answer:
57 miles.
Step-by-step explanation:
to find
⇒ total number of miles dana ran
given
⇒ monday = 10.2 miles
⇒ tuesday = 11.4 miles
⇒ wednesday and thursday = 11.8 miles
⇒ friday = 12.3 miles
∴ total number of miles = 10.2 + 11.4 + 23.6 + 12.3
⇒ 57.5
⇒ 57 miles
An airplane is headed due south with an airspeed of 300 kph. A wind is blowing from the west at 120 kph. What is the ground speed and direction of the plane?
323 kph with a directional bearing of S 22° E
328 kph with a directional bearing of S 68° E
420 kph with a directional bearing of S 22° E
420 kph with a directional bearing of S 68° E
The ground speed and direction of the plane is 323 kph with a directional bearing of S 22° E
To find the ground speed of the plane, we need to know what a vector is
What is a vector?A vector is a variable that has both magnitude and direction.
Since the airplane is headed due south with an airspeed of 300 kph, its vector is V = (-300 kph)j.
Also, the wind is blowing from the west at 120 kph. Its vector is v = (-120 kph)i
Now, the ground speed of the plane V' is the resultant vector of the airspeed and wind speed.
What is a resultant vector?A resultant vector is the sum of two or more vectors.
So, V' = v + V
V' = (-120 kph)i + (-300 kph)j
So, its magnitude V' = √(x² + y²) where
x = -120 kph and y = -300 kph.So, V' = √[(-120 kph)² + (-300 kph)²]
= √[14400 kph² + 90000 kph²]
= √(104400 kph²)
= 323.11 kph
≅ 323 kph
The direction of the planeIts direction, Ф = tan⁻¹(y/x)
Ф = tan⁻¹(-300 kph/-120 kph)
Ф = tan⁻¹(2.5)
Ф = 68.2°
From the South-line we have α = 90° - Ф = 90° - 68.2° = 21.8° ≅ 22°
So, the directional bearing of the plane is S22°E.
So, the ground speed and direction of the plane is 323 kph with a directional bearing of S 22° E
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Answer:
A on edge 2022
Step-by-step explanation:
323 kph and 22 E
If the length of a rectangle is 2x + 4 and the width is x - 2. write
an expression to represent the perimeter of the rectangle.
Will Give BrainlyIst
Answer:
P = 6x +4
Step-by-step explanation:
Use the given values in the formula for the perimeter of a rectangle:
P = 2(L +W)
__
You have ...
L = 2x +4
W = x -2
So, the perimeter is ...
P = 2((2x +4) +(x -2)) = 2(3x +2)
P = 6x +4
The perimeter of the rectangle is 6x+4.
Evaluate the determinant
Will give brainiest for this question and my other question too!
BC=
4. Given the figure and DG = 23
D 2x-9 0
x + 3
G
X =
DO =
OG =
Answer:
x = 13
DO = 7
OG = 16
Step-by-step explanation:
If the sum of the entire figure is DO + OG = 23, then we can create the equation:
(2x-19)+(x+3)=23
From this equation, we can identify that x = 13.
We can use this information to find your final answers of...
x = 13
DO = 7
OG = 16
Help please?????????
Mayerlin models the volume of a popcorn box as a right rectangular prism and the box can hold 49 cubic inches of popcorn when it is full. Its length is 2\frac{3}{4}2
4
3
in and its height is 5\frac{1}{2}5
2
1
in. Find the width of the popcorn box in inches. Round your answer to the nearest tenth if necessary.
The width of the popcorn box that Mayerlin models given its dimensions and the volume is 3.2 inches.
What is the width?A rectangular prism is a three-dimensional shape that is made up of six faces and 12 sides.
Volume = length x width x height
Width = volume / (length x height)
49 / (2 3/4 x 5 1/2) = 3.2 inches
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Answer:3.2
Step-by-step explanation:
Jesse measured a farm and made a scale drawing. The scale of the drawing was 1 centimeter = 4 meters. If the actual width of the goat pen is 8 meters, how many centimeters wide is the goat pen in the drawing?
Work out the sheet below
Answer:
It might be 235.62
Step-by-step explanation:
Answer:
[tex]235.6\ cm^3[/tex]
Step-by-step explanation:
Volume of a cone: [tex]\frac{1}{3} \pi r^2 h[/tex]
[tex]\frac{1}{3} \pi r^2 h\\r = 5\\h = 9\\\frac{1}{3} \pi (5)^2(9)\\\frac{1}{3} \times \pi \times 25 \times 9\\= 75 \pi\\= 235.619449...\\= 235.6\ \text{(1 d.p.)}\ cm^3[/tex]
expression - 50 + 5/13p is equal to ____ when p = -26
Answer: : it’s 40
hope this helps :)
Step-by-step explanation: Just substitute the variable with the number and use pemdas.
First you have to multiply 5/13 by -26, then add 50 to what you get.
The LCM of 8ab and 12a^2 is
A. 48a³b.
B.) 48a²b.
C. 24a²b.
D. 24ab.
E. 48a².
of 8ab
Answer:
C. 24a²bStep-by-step explanation:
8ab = 4a × (2b)
12a² = 4a × (3a)
Then
LCM(8ab , 12a²) = 4a × (2b) × (3a)
= (4×2×3) × (a×a×b)
= (24) × (a²×b)
= 24a²b
what is the midpoint of (4,10) (16,0)
Answer:
Midpoint(10,5)
Step-by-step explanation:
Midpoint of coordinatesTo find the midpoints add the x-coordinates and divide that by 2 & add the y-coordinates and divide by 2
[tex]\boxed{\text{\bf midpoint=$\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$}}[/tex]
[tex]\sf = \left(\dfrac{4+16}{2},\dfrac{10+0}{2}\right)\\\\=\left(\dfrac{20}{2},\dfrac{10}{2}\right)\\\\= \left(10,5\right)[/tex]
Kenneth bought 15 chicken sandwiches and tuna sandwiches for $35.10. Each chicken sandwich costs $2.30 and each tuna sandwich costs $2.40. How many chicken sandwiches did Kenneth buy?
Help! Can you do a guess and check? Awarding 20 points!
NONSENSE=REPORT
Answer:
the number of chicken sandwiches = 9
Step-by-step explanation:
let x be the number of chicken sandwiches
y be the number of tuna sandwiches
We have to solve this system:
[tex]\begin{cases}x+y=15&\\ 2.3x+2.4y=35.1&\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}y=15-x&\\ 2.3x+ 2.4(15-x)=35.1&\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}y=15-x&\\ 2.3x+ 36 -2.4x=35.1&\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}y=15-x&\\ -0.1x + 36=35.1&\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}y=15-x&\\ -0.1x=-0.9&\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}y=15-x&\\ x = 9&\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}y=15-9=6&\\ x = 9&\end{cases}[/tex]
A store buys a bike for $140. They mark up the bike 25%. What is the selling price?
Answer:
$175
Step-by-step explanation:
Original Price = $140
Mark up (% increase) = 25%
Selling Price = Original Price (1 + Mark up)
SP = 140 (1 + 25%)SP = 140 (1 + 0.25)SP = 140 (1.25)SP = $175inverse function of f(x)=3x-2
Step-by-step explanation:
so......im not certain about my solution,but this is what I think
f(x)=3x-2
replace f(x) with the latter Y
so its gonna be...y=3x-2
make x subject of the fomula
so is gonna be...y=3x-2
y-2=3x
x = y-2 3Determine which of the following statements is true concerning the values described in column #1 and column #2.
Column #1
The x-coordinate of the vertex of the graph of y = −2x2 − 4x + 12
Column #2
The x-coordinate of the vertex of the graph of y = x2 − 4x + 3
A. The value found in column #1 is greater than the value found in column #2.
B. The value found in column #1 is less than the value found in column #2.
C. The value found in column #1 is equivalent to the value found in column #2.
D. The relationship between column #1 and column #2 cannot be determined by the information given.
The following statements are true concerning the values described in columns #1 and column #2. B. The value found in column #1 is less than the value found in column #2.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree
The equation of curve 1, which is in the shape of a parabola is, when represented in general form
[tex]y = -2x^2 - 4x + 12\\\\y = -2(x^2 - 2x + 6)\\\\\dfrac{y}{-2} = (x^2 - 2x + 6)\\\\\dfrac{y}{-2} +7=(x+1)^2[/tex]
So,
x+1=0
x= -1
and,
y = 14
Therefore, the Coordinate of a vertex is (-1,14).
The x-coordinate of the vertex of the function [tex]y = -2x^2 - 4x + 12[/tex] is equal to -1.
The equation of curve 2 , which is in the shape of a parabola is , when represented in general form
[tex]y = x^2 - 4x + 3\\\\y =( x-2)^2-1\\\\y+1 =( x-2)^2[/tex]
So,
x-2=0
x= 2
and, y+1=0
y= -1
Therefore, the Coordinate of a vertex is (2,-1).
The x-coordinate of the vertex of the function [tex]y = x^2 - 4x + 3[/tex] is equal to 2.
The following statements are true concerning the values described in columns #1 and column #2. B. The value found in column #1 is less than the value found in column #2.
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Math
What can you say about the mean rainfall when comparing the two time periods?
The mean in period 2 is higher than the mean in period 1.
The mean in period 1 is higher than the mean in period 2.
The mean in period 1 is the same as the mean in period 2.
Answer:
[tex]\bullet \ \large\text{The mean in period 2 is higher than the mean in period 1.}[/tex]
Step-by-step explanation:
the mean in period 1 :
(2.3+2.1+2.2+2.2+2.2+2.1+2.4+2.5+2.2+2.0+1.9+1.9+2.1+2.2+2.3)÷15=21.733...
the mean in period 2 :
(2.3+2.1+3.3+1.5+3.6+1.6+3.0+1.1+4.7+2.1+2.4+1.9+2.8+0.5+2.3)÷15=23.466...
Since 23.466 > 21.733 then “The mean in period 2 is higher than the mean in period 1”.
In the lab carmen has two solutions that contain alcohol and is mixing them with each other. She uses 3 times as much solution a as solution b. Solution a is 17% alcohol and solution b is 14% alcohol. How many milliliters of solution b does she use if the resulting mixture has 455 milliliters of pure alcohol?
Answer:1200
Step-by-step explanation:i might be wrong pls dont hurt me
Graph the solution to the following system of inequalities.
-5x+4y> -4
2x+3y2-6
Then give the coordinates of one point in the solution set.
Answer:
2/3 x 9=99+25x7(78)gxw/98
Step-by-step explanation:
Translate into an Algebraic equation: The quotient of a number and 5
[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
Translate into an algebraic equation:-
The quotient of a number and 5.
[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]
✳︎ First, the word "quotient" indicates that we divide.
Here, we have the quotient of a number and 5, so we divide the number by 5; let the number be d.
So the quotient of d and 5 looks as follows:-
[tex]\bold{\dfrac{f}{5}}[/tex]
Good luck with your studies.[tex]\rule{300}{1}[/tex]
In "The Emperor's New Clothes" what does the opening tell you about the characters?
A. Emperor is the main character
B. King is the main character
C. No main character is introduced
D. Queen is the main character
what is 6,973 ×62 equal to
Answer:
432326
Step-by-step explanation:
i just times them together
Answer:
that should be 432,326
Step-by-step explanation:
I do not rly know how to the calculator on this app properly yet but I will try my best to explain it
×6973
62
3×2=6,2×7=14 put 4 under the 6 and take 1 to the 9,2×9 is 18,+1 that we added to the 9=19, put 9 under the 9 and take 1 to the 6 above, and 2×6=12,+1=13
and you get this first
13946
and you also multiply your 6 by all the numbers above giving you
41838
so you arrange it like this and get
13946
41838
and you add it together giving you
432,326.
and the third picture should be your answer.
What is the unfilled volume inside the cylinder? 320π cubic units 597π cubic units 640π cubic units 725π cubic units
The unfilled volume inside the cylinder is 640π cubic units
How to find unfilled volume?Volume of a cylinder = πr²h
= π × 8² × 15
= π × 64 × 15
= 960π cubic unit
h = heightr = radiusl = slant heightVolume of a cone = 1/3πr²√l² × r²
= 1/3 × π × 8² √17² × 8²
= 1/3 × π × 64 √289 × 64
= 1/3 × π × 64 √353
= 320π cubic unit
Unfilled volume = 960π cubic unit - 320π cubic unit
= 640 cubic unit
The complete question:
A solid oblique cone with a slant length of 17 units is inside an empty cylinder with a congruent base of radius 8 units and a height of 15 units. What is the unfilled volume inside the cylinder? 320π cubic units 597π cubic units 640π cubic units 725π cubic units
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Answer:
640pi
Step-by-step explanation:
You may use k to represent the constant of variation in your working if necessary.
Answer:
r = 1.6
Step-by-step explanation:
given r varies directly with m² and inversely as n then the equation relating them is
r = [tex]\frac{km^2}{n}[/tex] ← k is the constant of variation
to find k use the condition r = 18 when m = 6 and n = 4 , then
18 = [tex]\frac{k(6)^2}{4}[/tex] = [tex]\frac{36k}{4}[/tex] ( multiply both sides by 4 to clear the fraction )
72 = 36k ( divide both sides by 36 )
2 = k
r = [tex]\frac{2m^2}{n}[/tex] ← equation of variation
when m = 2 and n = 5 , then
r = [tex]\frac{2(2)^2}{5}[/tex] = [tex]\frac{2(4)}{5}[/tex] = [tex]\frac{8}{5}[/tex] = 1.6
7 > −3; Subtract 7 from both sides.
The resulting inequality is :
Answer:
0 > -10
True
Step-by-step explanation:
7 > -3 Starting with a true statement. This math sentence says, "7 is greater than -3"
7 > -3
-7 -7 Subtract 7.
Working vertically now (from the top, down)
7 > -3
-7 -7
_______
0 > -10
Because 7-7 is 0 on the left side. And
-3-7 is -10 on the right side. This statement is true, because zero is bigger than -10.
Help! Please i need it badly
Answer:
you should take the time and study
Step-by-step explanation:
PLS NEED HELP! 40 point reward if correct. with brainiest!
I need this done before around 6 pm 5/13/2022 in western time (USA)
Answer:
Number 1 could be -x.
I don't know the answer to number 2.
Number 3 is the same as 1.
Step-by-step explanation:
sorry. i probably would know the answer if i remembered.
one last question! so i am doing this equation 6x-5=8x+2 but as I am doing it I got 7/-2 but in my answer key both are negative? what am I doing wrong?
this is what I have so far
6x-5=8x+2
6x-8x=5+2
-2x=7
Answer:
6x - 5 = 8x + 2
or -5-2 = 8x-6x
or -7 = 2x
or -7 / 2 = x
this is correct answer because in fraction form if one number is negative whole fraction is negative
Hey there!
IF YOUR EQUATION IS:
6x - 5 = 8x + 2
THEN:
SUBTRACT 8x to BOTH SIDES
6x - 5 - 8x = 8x + 2 - 8x
SIMPLIFY IT!
-2x - 5 = 2
ADD 5 to BOTH SIDES
-2x - 5 + 5 = 2 + 5
SIMPLIFY IT!
-2x = 2 + 5
-2x = 7
DIVIDE -2 to BOTH SIDES
-2x/-2 = 7/-2
SIMPLIFY IT!
x = -7/2
The step you had a partial mistake was step 2 because that’s not what had to simplify to get the 7/-2. You should’ve converted your equation to: -2x - 5 = 2 (as I put for STEP 1.1) but your overall result is correct x DOES equal to 7/-2.
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)