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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If 2x - 3(x+4)=-5, then x=
Answer:
=−7
Step-by-step explanation:
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.
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 value of (1/9)3
PLZ HELP!!
Answer:
1/3
Step-by-step explanation:
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
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
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]
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
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
Helppppp pleSeeeeeeeee
Answer: C
Step-by-step explanation: Hope this help :D
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
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
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
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
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
Plz help me with this two question
(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.
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
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
20 POINTS!!!!!The monthly salary of an employee with 33 hours of training can be written as
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]
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)
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:
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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
Is (1,2) (1,3) (1,4) a function?
Answer:
yes
Step-by-step explanation:
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
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
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