Answer:
The volume is 40.96 cubic feet
Step-by-step explanation:
Given
[tex]V\ \alpha\ h * d^2[/tex]
Where
[tex]V = Volume\\ h = height\\ d = distance[/tex]
[tex]V = 15.84ft^3; h =22ft; d = 3ft[/tex]
Required
The volume when h = 32 and d = 4
[tex]V\ \alpha\ h * d^2[/tex]
Express as an equation
[tex]V = khd^2[/tex]
Where k is the constant of variation.
Make k the subject
[tex]k = \frac{V}{hd^2}[/tex]
Substitute [tex]V = 15.84ft^3; h =22ft; d = 3ft[/tex]
[tex]k = \frac{15.84}{22 * 3^2}[/tex]
[tex]k = \frac{15.84}{22 * 9}[/tex]
[tex]k = \frac{15.84}{198}[/tex]
[tex]k = 0.08[/tex]
To solve for V when h = 32 and d = 4, we have:
[tex]V = khd^2[/tex]
[tex]V = 0.08 * 32 * 4^2[/tex]
[tex]V = 0.08 * 32 * 16[/tex]
[tex]V = 40.96[/tex]
The volume is 40.96 cubic feet
The volume of the wood obtained from a tree that is 32 feet tall having a measurement of 4 feet around the trunk is [tex]40.96 \: \rm ft^3[/tex]
What is directly proportional and inversely proportional relationship?Let there are two variables p and q
Then, p and q are said to be directly proportional to each other if
[tex]p = kq[/tex]
where k is some constant number called constant of proportionality.
This directly proportional relationship between p and q is written as
[tex]p \propto q[/tex] where that middle sign is the sign of proportionality.
In a directly proportional relationship, increasing one variable will increase another.
Now let m and n are two variables.
Then m and n are said to be inversely proportional to each other if
[tex]m = \dfrac{c}{n} \\\\ \text{or} \\\\ n = \dfrac{c}{m}[/tex]
(both are equal)
where c is a constant number called constant of proportionality.
This inversely proportional relationship is denoted by
[tex]m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}[/tex]
As visible, increasing one variable will decrease the other variable if both are inversely proportional.
For this case, we have:
V = volume of the wood varying jointly as height of the tree and square of the distance around the trunk.
Let we take:
r = distance of the wood around the trunk (in feet)h = height of the tree ( in feet)V will of course increase as r or h increases, and as it varies jointly, thus:
[tex]V \propto h r^2[/tex]
Let the constant of proportionality be 'k', then:
[tex]V = kr^2h[/tex] (in cubic foot)
For case 1, it was specified that V = 15.84 cubic foot when r = 3 ft and h = 22 ft,
Putting these values gives us:
[tex]15.84 = k(3)^2(22)\\\\k = \dfrac{15.84}{198} = 0.08[/tex]
Thus, we have:
[tex]\rm V = 0.08r^2 h \: \rm ft^3[/tex]
Assuming second wood was also obtained from same kind of tree, we get the volume of the wood for h = 32 and r = 4 feet as:
[tex]V = 0.08 (4)^2 (32) = 40.96 \: \rm ft^3[/tex]
Thus, the volume of the wood obtained from a tree that is 32 feet tall having a measurement of 4 feet around the trunk is [tex]40.96 \: \rm ft^3[/tex]
Learn more about proportionality here:
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Whats 1 + 1? I'm having so much trouble please help me answer this problem!
Answer:
2
Step-by-step explanation:
Answer:
1 + 1 is 2 :D
Step-by-step explanation:
How many hands do you have? You have one on each hand, but total you have 2. :D
LOL I would do this too :D
An employee put $10,000 in a retirement
account that offers 4% interest
compounded annually.
The employee makes no additional deposits or
withdrawals. Which amount is closest to the interest
the employee will have earned at the end of 12 years?
A) $4,520.14
B) $5,200.36
C) $6,010.32
D) $7,340.18
PLS ANSWER ASSP WILL GIVE BRAINLIEST ANSWER
C. $6010, I plugged the information into a simple compound interest calculator.
For a camping trip, Jack is preparing water canteens. The canteens each hold 1/3 gallon of water.
How many canteens can Jack fill if he has 14 gallons of water?
Answer:
42 canteens
Step-by-step explanation:
1 gal = 3 canteens
14*3=42
I need help with this by Wednesday Please Help!!!!!
Answer:
Step-by-step explanation:
To complete the given table we will substitute the output value to calculate the input value.
Given function is,
y = 2x + 4
For output value, y = 18
18 = 2x + 4
2x = 18 - 4
x = 7
For output value, y = 22
22 = 2x + 4
2x = 22 - 4
x = 9
For output value, y = 34
34 = 2x + 4
2x = 34 - 4
2x = 30
x = 15
Therefore, table will be,
Input (x) y = 2x + 4 output
7 18
9 22
15 34
Multiply.
−3.9(−5.6)(3)
The product is
Answer:
65.52
Step-by-step explanation:
−3.9×−5.6×3
Multiply −3.9 and −5.6 to get 21.84.
21.84×3
Multiply 21.84 and 3 to get 65.52.
65.52
Please help me I'm so bad at math and doing AFDA really doesn't help..
place for the solution with quadratic equation
Answer:
4, 16, -4, 2, -1
x = 4±√(16-4(2)(-1)/4
Correct expression:
Step-by-step explanation:
Given the expression
2x² - 8x - 7 = -4x - 6
Rewrite in standard form
2x² - 8x + 4x - 7 + 6 = 0
2x² - 4x - 1 = 0
Get the coefficients
Given the standard form ax^2 + bx + c = 0
ax^2 = 2x^2
a = 2
bx = -4x
b = -4
c = -1
Use the general formula to find the factors
x = -b±√b²-4ac/2a
Substitute the coefficients
x = -(-4)±√(-4)²-4(2)(-1)/2(2)
x = 4±√(16-4(2)(-1)/4
Hence the values are 4, 16, -4, 2, -1
This is not a question it’s just for those who need an answer for questions for 3-1 lesson quiz in savvas for 6th grade math. Feel free to use the answer in the following photos below
Answer:
thank you very much, this will be of much help
-100-95-90-85-...;11th Term
Answer:
50
Explanation:
The difference is always 5
Plz help me with this two question
Anyone know how to answer this math question
Answer:
[tex](x+1)^2+(y-5)^2=36[/tex]
Step-by-step explanation:
The standard form equation for a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex] where
(h, k) is the center and r is the radius.
Match up the point (-1, 5) with (h, k) to see that h = -1 and k = 5.
x - h = x - (-1) = x + 1
y - k = y - 5
[tex](x+1)^2+(y-5)^2=36[/tex]
Find the value of (1/9)3
PLZ HELP!!
Answer:
1/3
Step-by-step explanation:
How many 3/8 mile laps does shandra need to run to complete 6 miles?
Answer:
16 more 3/8 mile runs
Step-by-step explanation:
We can just divide 6 by 3/8
6/1 divided by 3/8
6/1 * 8/3
48/3
16
Mai poured 2.6 liters of water into a partially Field pitcher. The pitcher then contained 10.4 liters what is the solution of the equation mean in the situation
If 2x - 3(x+4)=-5, then x=
Answer:
=−7
Step-by-step explanation:
20 POINTS!!!!!The monthly salary of an employee with 33 hours of training can be written as
A rectangular parking lot has a length that is yards greater than the width. The area of the parking lot is square yards. Find the length and the width.
Answer:
length = 18yd
Width = 10yd
Step-by-step explanation:
Complete question
A rectangular parking lot has a length that is 8 yards greater than the width. The area of the parking lot is 180 square yards. Find the length and the width.
Area of the parking lot - length * width
A = LW
Given
Area = 180sq. yd
If the parking lot has a length that is 8 yards greater than the width, then;
L = 8 + W
The area becomes;
A = (8+W)W
180 = 8W+W²
W²+8W - 180 = 0
W²+18W-10W - 180 = 0
W(W+18)-10(W+18) = 0
(W-10)(W+18) = 0
W-10 = 0
W = 10yd
Since L = 8 + W
L = 8 + 10
L = 18yd
Hence the length and the width area 18yd and 10yd respectively
Helppppp pleSeeeeeeeee
Answer: C
Step-by-step explanation: Hope this help :D
in which is the vaule of the 6 ten times the vaule of the 6 in the number 6000
Answer:
Consider matrix A.
What is the inverse of A? Fill in the missing elements in the matrixs.
Step-by-step explanation:
Consider matrix A.
What is the inverse of A? Fill in the missing elements in the matrixs.
Answer:
Hello! Your answer would be, 600
Step-by-step explanation:
if we start backwards, the value of 6 in 6000 is equal to 1/1000. If you want to find what is 10 times that, multiply 1/1000 with ten and you get 1/100. That is equal to 6/600. The value of 6 is 600.
Hope I helped! Brainiest plz!♥ Have a nice morning! Hope you make a 100%! -Abby
(2, -16)
plug in the correct variables in the equation below
y = mx + b
The Answer Is Y=-8x
This is because x is multiplied by -8 to find y.
I need help plz I don't understand this
Answer:
3 bird HAHAHAH sana makatulong
Answer:
From point A to point B is x= -7 y= -4
From point B to point C is x= 6 y=-5
Step-by-step explanation:
I think it's kinda hard to see
The points A, B, and D are on circle C, AB=BD, and m ABD = 194°.
What is the measure of AB?
Answer:
AB = 97
Step-by-step explanation:
AB is half of mABD.
Write the equation of the circle with the given information.
Center: (5, -13)
Radius: 11
Answer:
(x - 5)² + (y + 13)² = 121
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k ) = (5, - 13 ) and r = 11 , then
(x - 5)² + (y - (- 13))² = 11² , that is
(x - 5)² + (y + 13)² = 121
The larger cube measures 20 cm on each edge. What is the surface area?
Answer:
2400
Step-by-step explanation:
Give Me brainllest plz T-T
Is (1,2) (1,3) (1,4) a function?
Answer:
yes
Step-by-step explanation:
Which equation describes the line???
Answer:
The answer is D. y-10=2(x-1)
Step-by-step explanation:
[tex]y-y_{1}=m(x-x_{1})[/tex]
First, find the slope from the two points:
m=(10-2)/(1+3)=2
let [tex]y_{1}=10 and x_{1}=1[/tex]
thus, y-10=2(x-1)
Which describes the slope of the line in the graph?
A) zero
B) positive
C) negative
D) undefined
PLEASE HELP ASAP. God bless you.
Find the LCD of the following:
1. 3/8, 1/4, 5/12
2. 2/3,5/6, 7/9
Answer:
1. LCD= 24
2. LCD= 18
What is the equation in stope intercepe form of the line that passes through the points (-4.47) and (2.-16)
Answer:
[tex]y = -\frac{21}{2}x+5[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (-4,47)[/tex]
[tex](x_2,y_2) = (2,-16)[/tex]
Required
The equation in slope intercept
First, calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where:
[tex](x_1,y_1) = (-4,47)[/tex]
[tex](x_2,y_2) = (2,-16)[/tex]
So:
[tex]m = \frac{-16 - 47}{2 - -4}[/tex]
[tex]m = \frac{-63}{6}[/tex]
Simplify
[tex]m = -\frac{21}{2}[/tex]
So, the equation is calculated as:
[tex]y = m(x - x_1) + y_2[/tex]
This gives:
[tex]y = -\frac{21}{2}(x - -4) + 47[/tex]
[tex]y = -\frac{21}{2}(x+4) + 47[/tex]
Open bracket
[tex]y = -\frac{21}{2}x-42 + 47[/tex]
[tex]y = -\frac{21}{2}x+5[/tex]
Ms. Florina buys a bag of different-colored rubber bands. She randomly selects a rubber
band, records the color, and returns it to the bag. She does this a total of 50 times
and selects 8 red, 18 blue, 10 green, and 14 yellow rubber bands.
Based on this information, what is the probability that Ms. Florina will select a blue rubber
band, return it to the bag, and then select a green rubber band?
Click the arrows to choose an answer from each menu.
Based on the given information, the probablity that Ms. Florina will select a blue rubber band is
Choose... and the probability that she will select a green rubber band is
Choose... The probability that she will select a blue rubber band, return it to the bag,
and then select a green rubber band is Choose...
Answer:18/25 1/5 14/25
Step-by-step explanation:
The probability we have to choose 18/25 1/5 14/25.
Ms. Florina buys a bag of different-colored rubber bands. She randomly selects a rubber.
band, records the color, and returns it to the bag. She does this a total of 50 times.
and selects 8 red, 18 blue, 10 green, and 14 yellow rubber bands.
Based on this information, what is the probability that Ms. Florina will select a blue rubber
band, return it to the bag and then select a green rubber band
Click the arrows to choose an answer from each menu.
What is the formula for probability?
It is expressed as, Probability of an event P(E) = (Number of favorable outcomes) ÷ (Sample space).
Based on the given information, the probability that Ms. Florina will select a blue rubber band is,
Therefore the probability we have to choose 18/25 1/5 14/25.
To learn more about the probability visit:
https://brainly.com/question/25870256
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Five metal cubes with sides of 18 cm are melted and casted into a spherical ball. Find the volume of the sphere that is formed.
Answer:
29160cm³
Step-by-step explanation:
(18*18*18) *5 = 29160