Answer:
M=5
Step-by-step explanation:
divide each side by -2
There are many cylinders with a volume of cubic inches. The height in inches of one of these cylinders is a function of its radius in inches where . What is the height of one of these cylinders if its radius is 2 inches? What is the height of one of these cylinders if its radius is 3 inches? What is the height of one of these cylinders if its radius is 6 inches?
Answer:
1. If its radius is 2 inches, the height is 36 inches.
2. If its radius is 2 inches, the height is 16 inches.
3. If its radius is 2 inches, the height is 4 inches.
Step-by-step explanation:
Here is the complete question:
There are many cylinders with a volume of 144[tex]\pi[/tex] cubic inches. The height [tex]h(r)[/tex] in inches of one of these cylinders is a function of its radius [tex]r[/tex] in inches where [tex]h(r) =\frac{144}{r^{2} }[/tex] .
1. What is the height of one of these cylinders if its radius is 2 inches?
2. What is the height of one of these cylinders if its radius is 3 inches?
3. What is the height of one of these cylinders if its radius is 6 inches?
Step-by-step explanation:
1. To determine the height of one of the cylinders if its radius is 2 inches,
From the question,
Since height [tex]h(r)[/tex] of one of these cylinders is a function of its radius [tex]r[/tex], and
[tex]h(r) =\frac{144}{r^{2} }[/tex]
Then, when r = 2 inches
[tex]h(r) =\frac{144}{2^{2} }[/tex]
[tex]h(r) =\frac{144}{4 }[/tex]
[tex]h(r) = 36 inches[/tex]
Hence, the height is 36 inches
2. To determine the height of one of the cylinders if its radius is 3 inches,
Again,
[tex]h(r) =\frac{144}{r^{2} }[/tex]
Then, when r = 3 inches
[tex]h(r) =\frac{144}{3^{2} }[/tex]
[tex]h(r) =\frac{144}{9 }[/tex]
[tex]h(r) = 16 inches[/tex]
Hence, the height is 16 inches
3. To determine the height of one of the cylinders if its radius is 6 inches,
Again,
[tex]h(r) =\frac{144}{r^{2} }[/tex]
Then, when r = 6 inches
[tex]h(r) =\frac{144}{6^{2} }[/tex]
[tex]h(r) =\frac{144}{36 }[/tex]
[tex]h(r) = 4 inches[/tex]
Hence, the height is 4 inches.
4 more then a number squared? expression form
Answer:
4 + x²
Step-by-step explanation:
Given problem:
4 more then a number squared
Problem:
Give the expression form;
Solution:
Let the number x;
So;
4 more than x squared:
4 + x²
The gas tank of your car was 1/3 full. At the gas station, you added another 2/5 tank of gas. If it takes 1/30 tank of gas to drive round trip to school, how many trips can you make with the gas in the car?
Answer:
Step-by-step explanation:
(1/3+2/5) divided by 1/30 = 22
22 trips
A submarine dives below the surface, heading downward in four moves. If each move downward was 235
feet, where is the submarine after it is finished diving?
The submarine would be
feet below sea level, or
feet.
Answer:
Step-by-step explanation:
It drops 235 feet per move.
235 * 4 = 1140 feet below sea level.
-1140 is also possible.
How much time will it take for a bug to travel 10 meters across the floor it is traveling at
a rate of 2 m/s?
Answer:
5 seconds
Step-by-step explanation:
First let's use the equation.
D (Distance) = Speed (s) x Time (t)
Now let's find the components given in the problem.
Distance = 10 meters
Speed = 2 m/s
Now let's substitute the values in.
10 = 2t
Now let's solve for t.
10 = 2t
t = [tex]\frac{10}{2}[/tex]
t = 5
Therefore, it will take 5 seconds.
Hope this helped! If not, please let me know! <3
Tatianna withdrew $20 from her bank account 3 times.how much did her account change? write your answer as an integer.
Answer:
$216
Step by step
Explanation:
First we subtract $ 20 from $ 84 giving us a total of $ 64 and when we add that to $ 152 we get $ 216
.
Answer:
-60
Step-by-step explanation:
Duncan is excited to begin diving lessons. He starts on the diving board, 5 feet above the surface of the pool. Then, Duncan dives off the board and ends up 7 feet below the surface of the pool .What is the total distance from Duncan's start on the diving board to his lowest point beneath the surface of the pool? *
I'll give brainliest if you just tell me multiply, divide, subtract, or add.
Answer: subtract
Step-by-step explanation:
Answer:
I think subtract
Step-by-step explanation:
subtract
Use the coordinates of the labeled point to find a point-slope equation of the line
Answer:
The answer would be C.
Answer:
c
Step-by-step explanation:
What is 45 percent of 37?
Answer:
16.65
Step-by-step explanation:
Answer:
16.65
Step-by-step explanation:
0.45 multiplied by 37 = 16.65
(0.45 is equalivent to 45%)
Hope I helped :)
Please consider Brainliest :)
Which is grater 1/2 2/3 1/4 5/6
Answer:
5/6 is the greatest, it is closer to a whole number
Step-by-step explanation:
Answer:
5/6
Step-by-step explanation:
1/2 is only half
2/3 is very close
1/4 is not close at all
5/6 is the best answer
The 8th and 20th terms of an arithmetic sequence are 20 and 56 respectively. What is the 1st term of the sequence.
Answer:
a₁ = -1Step-by-step explanation:
[tex]a_n=a_1+d(n-1)\\\\a_8=a_1+d\cdot7\\\\a_{20}=a_1+d\cdot19\\\\a_{20}-a_8=a_1+19d-(a_1+7d)=12d\\\\56-20=2d\\\\12d=36\\\\d=3\\\\\\ a_1+3\cdot7=20\\\\a_1=20-21=-1[/tex]
If the 8th and 20th terms of an arithmetic sequence are 20 and 56 respectively, then the 1st term of the sequence is -1
The nth term of an arithmetic sequence is given by the formula:
[tex]a_n=a+(n-1)d[/tex]
The 8th term of the arithmetic sequence is 20
[tex]a_8 = 20\\\\a_8=a+(8-1)d\\\\a+7d=20.......................(1)[/tex]
The 20th term of the arithmetic sequence is 56
[tex]a_{20} = 56\\\\a_{20}=a+(20-1)56\\\\a+19d=56.......................(2)[/tex]
Subtract equation (1) from equation (2)
12d = 36
d = 36/12
d = 3
Substitute d = 3 into equation (1)
a + 7d = 20
a + 7(3) = 20
a + 21 = 20
a = 20 - 21
a = -1
The first term of the arithmetic sequence is -1
Learn more here: https://brainly.com/question/18417771
Is y= -9x+.5 proportional
A share of stocks gained 12 points, then lost 114 points, and then gained 218 points. Find the overall change in its value.
Answer:
The overall change is 116points gained
Step-by-step explanation:
Points gained = 12points
Points lost = 114points
Points gained = 218points
Unknown:
Overall change in its value = ?
Solution:
The overall change = Total points gained - Total points lost
= (218 + 12) - 114
= 116points
The overall change is 116points gained
Answer:
its 116
Step-by-step explanation:
12 - 114
-102 + 218 = 116
1572 divide 0.3 you must show all workings
Answer:
5240
Step-by-step explanation:
Is Mr. Martin a hero? xplain why or why not.
Answer:
mr martin was a hero in my eyes he saved many lives and was one of the strongest people to ever live (who is mr martin?)
Step-by-step explanation:
An)
is a value that does not change
Answer:
An) is a value that does not change? yes
Give another name for line JK.
Answer:
indecsaty
Step-by-step explanation:
the indecsaty of the line more known as a slope is the other name
which equaiton applies the assosiative property of multiplication
Answer:
3
Step-by-step explanation:
Which expression shows how to convert 60 hours to days? StartFraction 60 hours Over 1 EndFraction times StartFraction 1 hour Over 24 days EndFraction StartFraction 60 hours Over 1 EndFraction times StartFraction 1 day Over 24 hours EndFraction StartFraction 60 hours Over 1 EndFraction times StartFraction 24 hours Over 1 day EndFraction StartFraction 60 hours Over 1 EndFraction times StartFraction 24 days Over 1 hour EndFraction
come one people 5 points
Answer:
60/24
Step-by-step explanation:
Answer:
StartFraction 60 hours Over 1 EndFraction times StartFraction 24 days Over 1 hour EndFraction
Step-by-step explanation:
I'm sorry if this is wrong
what is the unit rate for $1.99 per pound
Answer:
1.99 per pound means the cost of 1 pound is 1.99!!
Step-by-step explanation:
Unit rate means the rate of 1 item
Guys Please HELP ME
If you give me answer quickly, I'll give you brainliest. Please help me (20 points)
Questions
1. Find the density of a cylinder with a height of 4mm, a radius of 4mm, and a mass of 250g
2. Find the density of a sphere with radius of 2m and a mass of 2kg
Answer:
Step-by-step explanation:
1st one is 62.5 kilogramic meter
2nd one is 1 kilo kilogram/cubic meter
Step-by-step explanation:
1)First calculate the volume
v=Pir²h
v=3.15×4²×4
v=201mm³
p=m/v
p=0.250/0.201
p=1.24Kg/m³
2)v=3/4pi r³
v=3/4×3.14×2³
v=33.5m³
p=m/v
p=2/33.5
p=0.0597kg/m³
Write 30/45 in simplest form
Answer:
[tex] \frac{30}{45} \\ = \frac{2}{3} (both \: divided \: by \: 15)[/tex]
2/3 is the correct answer.....Thank you ☺️
Answer: 2/3
Step-by-step explanation: divide 30 and 45 by 15
an angles measure is 9 degrees more than 2 times the measure of its supplement. Find the measure of the angle
Answer:
The angle would be 123°.
4.49 × 10^–3 in standard form?
Answer:0.0049
Step-by-step explanation: You move the decimal 3 places to the left because its negative which gives you 0.0049
See attachment for math work and answer.
4/-7 + -6/5
In simplest form
See attachment for math work and answer.
can any one help me plz
23.79 divided by 3 estimate
Answer:
Answer: 7.93
Estimate: 8
Answer: 7.93, or to the nearest tenths, 7.9
Write an equation for the line that is perpendicular to the given line and that passes through the given point. y = 2x + 7; (0, 0)
Answer:
y = 1/-2x + 0 or y = 1/-2x
Step-by-step explanation:
TILE Mark is purchasing new tile for his bathrooms. The home improvement store charges $48 for each box of tiles when three or fewer boxes are purchased, $45 for each box when 4 to 8 boxes are purchased, $42 for each box when 9 to 19 boxes are purchased, and $38 for each box when more than nineteen boxes are purchased a. Write a piecewise-defined function describing the cost of the boxes of tile. b. What is the cost of purchasing 5 boxes of tile? What it is the cost of purchasing 19 boxes of tile?
Answer:
Kindly check explanation
Step-by-step explanation:
3 boxes or less = Cost of tiles = $48
4 - 8 boxes ; cost = $45
9 - 19 boxes ; cost = $42
> 19 boxes ; cost = $38
Cost of purchasing 5 boxes of tiles :
$45 * 5 = $225
Cost of purchasing 19 boxes :
$42 * 19 = $798
Solve the following equation. -10=-14v+14v