Answer:
5,598 cans are required to empty the vessel
Step-by-step explanation:
The volume of a cylinder of radius r and height h is:
[tex]V = \pi r^2h[/tex]
The volume of a box of dimensions X, Y, and Z is:
V=X.Y.Z
A cylinder of r=1.4 m and height h=1.5 is used to store vegetable ghee. It contains a volume of:
[tex]V_1 = \pi 1.4^2*1.5[/tex]
[tex]V_1=9.236\ m^3[/tex]
Converting to cubic cm:
[tex]V_1=9.236*1,000,000\ cm^3[/tex]
[tex]V_1=9,236,282\ cm^3[/tex]
The volume of each rectangular tin can is:
[tex]V_2=33*10*5=1,650\ cm^3[/tex]
[tex]V_2=1,650\ cm^3[/tex]
The number of cans required to empty the vessel is:
[tex]V_1/V_2=9,236,282/1,650 = 5,598[/tex]
5,598 cans are required to empty the vessel
What is the equation of a line parallel to the line whose equation is у=х+ 2?
Answer:
It could have any number as long as the slope stays the same.
Step-by-step explanation:
It could have any number as long as the slope stays the same.
For example, it could be y=x-2 or y=x+95. Just as long as the x and y are the same.
what is 5x98 (x343)=
Answer:
168,070
Step-by-step explanation:
Multiplication, 5 x 98 = 490. 490 x 343 = 168,070
It is estimated that there are 1.2×1057 atoms in the Sun. The number of atoms in the rest of the Solar System is approximately 1.2×1056. About how many more atoms exist in the Sun than in the rest of the Solar System? Drag numbers to complete the answer in scientific notation.
Answer:
1.08 * 10^57
Step-by-step explanation:
Given that:
Number of atoms in the sun = 1.2 * 10^57
Number of atoms in the rest of the solar system = 1.2 * 10^56
About how many more atoms exist in the Sun than in the rest of the Solar System?
Subtract the number of atoms in solar system from number of atoms in sun
(Number of atoms in sun - number of atoms in rest of the solar system)
(1.2 * 10^57) - (1.2 * 10^56)
= 1.08 * 10^57 (using calculator)
How do you graph Y=1.2x-4 ?
Step-by-step explanation:
Use the y=mx+b reference
the b refers to the y intercept which in your case is -4
so on the graph you would put -4 on the y line so at (0,-4)
Then the m or the slope which is 1.2 means from the point (0,-4) you move 1.2 units up and 1 unit to the right forever to create your line so you continuously move 1.2/1 and -1.2/-1
The required, graph of the linear equation y = 1.2x-4 is shown in the image attached below.
To graph the equation y = 1.2x - 4:
Set up the coordinate plane with the x and y axes.Label the axes as "x" and "y" with numerical markers.Plot the y-intercept: When x = 0, y = 1.2 * 0 - 4 = -4. Plot the point (0, -4).Identify the slope: The coefficient of x is 1.2, which represents the slope.Use the slope to find another point: Starting from (0, -4), move 1 unit to the right (increase x by 1) and 1.2 units upward (increase y by 1.2). Plot the point (1, -2.8).Draw a straight line through the two points you plotted.The graph of Y = 1.2x - 4 will be a straight line that passes through the points (0, -4) and (1, -2.8), and it will continue infinitely in both directions. The line will slope upwards from left to right with a slope of 1.2.
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almost 4 am! Imaooo
hiii
Answer:
hey hi what's up ?...........
Estimate the sum. 79.6 + 62.2 Use rounding to estimate the sum.
Find m. DCR if m. RCB= 115°
and m_ DCB = 169º.
5. Find the slope of the line
PLZZ Help me
Answer:
y = -2x
Step-by-step explanation
slope intercept form: y = mx + b
m is slope and b is y-intercept
1. lets find y-intercept cuz thats easiest
the line crosses (0,0) at the y-axis so there is no y-intercept
2. to find slope rise/run
we'll start at (0,0) since that's the y-intercept
3. slope is rise/run = -2/1 = -2
it's negative becuase it's going left
_____________________________________________________
another way you can find slope is by the equation y2 - y1/ x2 - x1
take 2 random points from the line, i will use (0,0) and (-2,4)
4 - 0/ -2 - 0 = 4/-2 = -2
slope is -2
Help me with these problems ASAP please! *look at attached images
Mandy created a treasure hunt in the sand at the beach. To keep track of where she buried four items, she graphed their locations in the coordinate plane.
Write the correct ordered pair to show the location of each item.
1. What is the location of item 1? Explain how you found its coordinates. Be sure to tell how you identified the sign of each coordinate.
Write your answer in the space below.
2. What is the location of item 2?
Write your answer in the space below.
3. What is the location of item 3?
Write your answer in the space below.
4. What is the location of item 4?
Write your answer in the space below.
PLEASE I NEED HELP ASAP!!
Answer:
1. (-3,3 ½)
2. (2.9,1) or (2 9/10,1)
3. (-1,-2.5) or (-1,2 1/2)
4. (1.9,-1) or 1 9/10,-1)
Step-by-step explanation:
Since some points were not directly on a line, they must have not been a whole number, so I estimated and used logical reasoning to get the coordinates of the items. Hope this helps.
What is the equation in slope-intercept form of a line that passes through the point (4, 5) and has a slope of 1/2?
can chose more than one
y=1/2x+
y=4x+1/2
y=3x+1/2
y=1/2x+5
Answer:
90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you
✨PLSS HELPPP ✨ SHOW UR WORK TYY ☺️
Solve the equation by using the graph of the related function. Check your solution.
2x 3=3
The solution to the equation given as 2x - 3 = 3 is x = 3
What are linear equations?Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient
How to solve the equation, graphically?The equation is given as
2x - 3 = 3
The above equation is a linear function
So, we plot a linear equation (see attachment)
On the attached graph, we can see that the solution is a vertical line that passes through x = 3
Hence, the solution to the equation given as 2x - 3 = 3 is x = 3
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f(x) = 3x + 3; Find f(1)
Answer:
f(1) = 6
Step-by-step explanation:
You just substitute 1 for x, 3+3 = 6
Answer:
f(1)=3(1)+3 = 6
answer is 6
Step-by-step explanation:
What is the fraction form of $0.25?
If h = -3, which inequality is true?
Answer:
D
Step-by-step explanation:
3 - h <10
3 - (-3) < 10
3+ 3 < 10
6 < 10
Answer:3-h<10
Step-by-step explanation:
help please its timed
Answer:
pretty sure its c
Step-by-step explanation:
6x^3 +8x^2 – 4x
I need help now ‼️‼️‼️‼️‼️‼️
Answer:
Are there any answers??
Step-by-step explanation:
Write the equation of the line PERPENDICULAR to x = -12 passing through (4,5)
Answer:
hope ithelps :)
Step-by-step explanation:
1) x=3 is a vertical line, so if you are looking for a line that is perpendicular you are looking for a horizontal line.
And horizontal lines go through the y-axis and have equations of y= a #
2)the point on the vertical line is (4,-5), it has a y-value of -5
****Every y value on a horizontal line will be the same
so the equation for a perpendicular line would be y= -5
what is the expression for f(x) when we rewrite 64^x/4^5x-1 as 4^f(x)
Answer: f(x)= -2x+1
Step-by-step explanation:
The expression for f(x), when we rewrite [tex]\frac{64^x}{4^{5x-1}}[/tex] as [tex]4^{f(x)}[/tex] will be [tex]4^{-2x+1}[/tex].
What is expression ?Expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
We have,
[tex]\frac{64^x}{4^{5x-1}}[/tex]
So,
Now, to rewrite in form of [tex]4^{f(x)}[/tex],
So,
Rewrite the given expression in the form of 4,
i.e.
[tex]\frac{64^x}{4^{5x-1}}[/tex]
[tex]=\frac{(4^3)^x}{4^{5x-1}}[/tex]
[tex]=\frac{(4^3x)}{4^{5x-1}}[/tex]
NOw,
Using Exponent rule,
We get,
[tex]=4^{3x-(5x-1)}=4^{3x-5x+1}[/tex]
On solving we get,
[tex]=4^{-2x+1}[/tex]
So,
[tex]4^{f(x)}=4^{-2x+1}[/tex]
Hence, we can say that the expression for f(x), when we rewrite [tex]\frac{64^x}{4^{5x-1}}[/tex] as [tex]4^{f(x)}[/tex] will be [tex]4^{-2x+1}[/tex].
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What is 2/19 as a percentage?
Give your answer rounded to one decimal place.
Answer:
10.53%
Step-by-step explanation:
The first step is to divide 2 by 19 to get the answer in decimal form: 2 / 19 = 0.1053 Then, we multiplied the answer from the first step by one hundred to get the answer as a percentage: 0.1053 * 100 = 10.53%
Answer:
11%
Step-by-step explanation:
Divide 2 by 19 and then move the decimal place twice to the right. It should be 10.5 but if rounded it becomes 11 so 11%
The sum of two integers is 31. The larger of the two integers is 4 more than 2 times the smaller integer. What are the integers? 9 and 22 -22 and 53 allo -9 and 40 14 and 17
Answer:
x = 22 y = 9
Step-by-step explanation:
Let me know if you need an explanation! Hope this helped :)
4(3n-2)=show your work
Answer:
(2 n)/3-2/3 = n/6+4/3
(2 n)/3-2/3 = (2 n-2)/3:
(2 n-2)/3 = n/6+4/3
Put each term in n/6+4/3 over the common denominator 6: n/6+4/3 = n/6+8/6:
(2 n-2)/3 = n/6+8/6
n/6+8/6 = (n+8)/6:
(2 n-2)/3 = (n+8)/6
Multiply both sides by 6:
(6 (2 n-2))/3 = (6 (n+8))/6
6/3 = (3×2)/3 = 2:
2 (2 n-2) = (6 (n+8))/6
(6 (n+8))/6 = 6/6×(n+8) = n+8:
2 (2 n-2) = n+8
Expand out terms of the left hand side:
4 n-4 = n+8
Subtract n from both sides:
(4 n-n)-4 = (n-n)+8
4 n-n = 3 n:
3 n-4 = (n-n)+8
n-n = 0:
3 n-4 = 8
Add 4 to both sides:
3 n+(4-4) = 8+4
4-4 = 0:
3 n = 8+4
8+4 = 12:
3 n = 12
Divide both sides of 3 n = 12 by 3:
(3 n)/3 = 12/3
3/3 = 1:
n = 12/3
The gcd of 12 and 3 is 3, so 12/3 = (3×4)/(3×1) = 3/3×4 = 4:
Answer: | n = 4
Step-by-step explanation:
A set of speakers costs $22 and songs cost $1.25 each. The sales tax rate is 7.5%. The expression 0.075(22 + 1.25s) can be used to determine the amount of sales tax due on the entire purchase. Expand the expression and round to the nearest hundredth. Drag numbers complete the expression. Numbers may be used once, more than once, or not at all. 0.090.50.971.251.451.6567.5 + s
Answer:
1.65 + 0.09s
Step-by-step explanation:
Given that :
Cost of speaker = $22
Cost per song = $1.25
Sales tax rate = 7.5%
Expression to obtain the amount of sales tax on entire purchase : 0.075(22 + 1.25s)
Expanding the expression :
0.075(22 + 1.25s)
(0.075 * 22) + (0.075 * 1.25s)
1.65 + 0.09375s
Rounding to the nearest hundredth :
Sales tax on entire purchase :
1.65 + 0.09s
What is the value of the expression f2 + 5 if f = 4?
Answer:
13
Step-by-step explanation:
f(2)+5
(4)2+5
8+5
=13
What is the value of the 4 in the following number: 22.040
Answer:
4 hundreths or 0.04
Step-by-step explanation:
0.04
The tenths then the hundreths place comes after the tenths place
What is the measure of angle E?
10 points
B
130°
С
E
F
G
H
Answer:
E
Step-by-step explanation:
Its because of Corresponding angles.
Determine the slope of the line 8x – 4y - 9 = 0.
Оа
HN
Ob
2
ос
3
Od
4
Answer:
m = 2
Step-by-step explanation:
The given equation is :
8x – 4y - 9 = 0
The general equation of a line is given by :
y = mx+b ...(1)
here m is slope and b is y-intercept
Equation (1) can be written as :
8x – 4y = 9
Dividing both sides by (-4)
[tex]\dfrac{8x}{-4}-\dfrac{4y}{-4}=\dfrac{9}{-4}\\\\-2x+y=-\dfrac{9}{4}\\\\y=2x+\dfrac{-9}{4}[/tex] ...(2)
Comparing equation (1) and (2), we get :
m = 2
Hence, the slope of the line is 2.
Unit 1: Functions
For the function f(x) = (x + 3)2 – 4 Fill in the missing values in the table and describe the key characteristics of
the function below.
X
-8
-5
-4
-3
-2
-1
0
f(x)
0
-3
-4
-3
0
x-intercept(s):
y-intercept(s):
5
4
Domain (possible x-values): Rang e (possible
y-values):
2
-10
4 5 8
8010
Family:
Growth:
Vertex? If
Function? If yes, why?
Symmetry? If yes, where?
yes, where?
sa
Answer:
hey mate I don't know it's answer
Step-by-step explanation:
sorry!
do your homework at your own
Which measurement describes the following situation:
What is the minimum amount of paper needed to cover a
cylinder?
A.surface area
B.volume
C.circumference
D. perimeter
Answer:
VOLUME
Step-by-step explanation:
It is not surface area. I put that and it was WRONG!!!
The minimum amount of paper needed to cover a cylinder is its surface area.
What is Surface area of Cylinder?The surface area of a cylinder can be defined as the amount of space covered by the flat surface of the bases of the cylinder and the curved surface of the cylinder.
Here, we need to cover cylinder by paper
So, paper cover its whole surface area.
Thus, the minimum amount of paper needed to cover a cylinder is its surface area.
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