Answer:
most of the time .........
[tex]\huge{\textbf{\textsf{{\color{pink}{An}}{\red{sw}}{\orange{er}} {\color{yellow}{:}}}}}[/tex]
Most of the time
The volume of wood in a tree varies jointly as the height of the tree and the
square of the distance around the tree trunk. If the volume of wood is 15.84 cubic
feet when the height is 22 feet and the distance around the trunk is 3 feet, what is
the volume of wood obtained from a tree that is 32 feet tall having a measurement
of 4 feet around the trunk?
please help :))
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:
https://brainly.com/question/13082482
Marc is a pharmacist and has documented the number of pills for the last 20 prescriptions he has filled. The data he recorded is in the table below. Assuming that Marc continues to fill prescriptions with number of pills that follow the same proportions, which of the following statements are true? Number of pills Prescriptions 101010 444 202020 444 303030 444 404040 555 505050 333 Total 202020 Choose all answers that apply: Choose all answers that apply: (Choice A) A In the long run, Marc can expect to fill prescriptions with 40 pills more often than he fills prescriptions with 50 pills. (Choice B) B The most likely number of pills in the next prescription that Marc fills is 40. (Choice C) C The expected number of pills in the next prescription that Marc fills is 29.5, point, 5. (Choice D) D The expected total number of pills in the next 20 prescriptions that Marc fills is 680.
Answer:
All except the one that ends with 680, so SELECT THE FOLLOWING:
✓In the long run, Marc can expect to fill prescriptions with 40 pills more often than he fills prescriptions with 50 pills.
✓The most likely number of pills in the next prescription that Marc fills is 40.
✓The expected number of pills in the next prescription that Marc fills is 29.5.
Step-by-step explanation:
I did it on Khan for an exam.
Find the measure of Arc MP.
Answer:
use this formula
x/230×2×pie×radius
PN=180
MPN=MN=31
MP=x
180=31+x
x=180-31
x=149
HELP ME PLSSSS
Heights of Males (in inches)
The heights of eight males in inches were used to make the box plot shown above. Which of the following is the median of the set of heights?
A. 69
B. 75.5
C. 73
D. 73.5
brainliest, extra points.
i understand if u need points , so u can go to my old questions and answer.
pls only answer if your for sure it's correct!
Answer: The answer is 73.5 100000%
Step-by-step explanation: i took the test
Write the new points after the translation and write the rule in coordinate notation.
TRANSLATION: 1 unit left
Q
U
Q(2,-2), X(2,0), G(4,0), U(3,-4)
Jason inherited a piece of land from his great-uncle. Owners in the area claim that there is a 45% chance that the land has oil. Jason decides to test the land for oil. He buys a kit that claims to have an 80% accuracy rate of indicating oil in the soil. What is the probability that the land has ol and the test predicts it?
A) 0.09
B) 0.11
C) 0.36
D) 0.44
2
One type of redwood tree has an average height of 65 feet when it is 20 years old. If the tree is more than 20 years
old, the average height, h, can be modeled by the function h = 1.95(a - 20) + 65, where a is the age of the tree in
years. Which statement about this situation is true?
A Every additional 1.95 ft of length over 20 ft adds 45 years to the age of this type of redwood tree.
8. For this type of redwood tree, the average height increases by 1.95 ft per year throughout its lifetime.
c. Each additional year of age over 20 years adds 1.95 ft to the average height of this type of redwood tree.
D. For this type of redwood tree, the average height increases by 65 ft for every 20 years of growth.
In ΔSTU, the measure of ∠U=90°, UT = 80, SU = 39, and TS = 89. What ratio represents the tangent of ∠S?
Answer:
[tex]\frac{80}{39}[/tex]
Step-by-step explanation:
SOHCAHTOA
O =Opposite
A = Adjacent
H = Hpotenuse
If we draw it out we can see that the opposite side is the UT and adjacent side is SU for ∠S.
When an angle is asked for like here is S so the opposite side of the angle is the opposite side. and the angle close to it is the adjacent. The biggest side is the hypotenuse.
Ajar contains 3 blue marbles and 2 red marbles. A marble is randomly selected from the jar and replaced, and then a second marble is chosen. The probability that a blue marble was chosen both times is %.
Answer:
40% probability
Step-by-step explanation:
First, you need to look at the sample space or number of outcomes:
B B B R RThe sample space, or number of outcomes, is 5
If you randomly select one marble and then select another marble after replacing it, you are taking out 2/5 of the marbles in the jar.
B B B R R1/5 2/5 3/5 4/5 5/5
2/5 can be converted into a percentage by turning it into a decimal:
2/5 = .4.4 can be converted into a percentage
.4 = 40%This leaves you with the probability being 40%
Answer: it’s 30%
Step-by-step explanation:
kim is paid £9.40 per hour for the first 35 hours she worked each week
after 35 hours she is paid at one and a quater times the hourly rate
calculate how much she is paid for that week
Answer:
after 35 hours she makes 11.75 an hour
Step-by-step explanation:
The number 4 is what percent of 5? A. 0.8% B. 1.25% C. 80% D. 125%
Answer:
The answer is C. 80%
Step-by-step explanation:
Hope this helped:)
To find the AREA of any shape, you must calculate the sum all the sides of that shape
True or false
Answer:
False
Step-by-step explanation:
The definition described is Perimeter
Area is found by multiplying the base by the height or the length by the width
find the correct results.
remember the maths is exact .
1+4=5
2+5=12
3+6=21
5+8=...
9514 1404 393
Answer:
5 + 8 = 45
Step-by-step explanation:
We observe that the sequence of numbers on the left is arithmetic, with each value increasing by 1 from each expression to the next.
Similarly, we observe that the sequence on the right increases by an increasing amount from one number to the next. First differences are 7, 9, suggesting that each successive line in the table will differ by 2 more than the previous two lines did.
Following this pattern, we have ...
4 + 7 = 32
5 + 8 = 45
_____
Additional comment
Here, it seems, the symbol "+" in the expression "a+b" is intended as a stand-in for the function f(a, b). That is, we're given three expressions ...
f(1, 4) = 5
f(2, 5) = 12
f(3, 6) = 21
and asked to predict the value of f(5, 8).
f may be any of a variety of functions. A couple of them are ...
f(x, y) = x^2 +4y -12
f(x, y) = y^2 -2x -9
or ...
f(n, n+3) = n(n+4), which could also be written f(x, y) = x(y+1)
I WILL GIVE BRAINLIEST TO THE RIGHT ANSWER
CONFERENCES You are sitting down at a round table with 7 chairs for a business meeting. You notice that one of the chairs is shorter than the rest. If 7 people sit down at random, what is the probability that you will end up with the short chair?
A.1/42
B.1/42
C.1/6
D.1/7
For which value of k does Limit as x approaches kf(x) = 4?
0
2
6
8
Answer:
2
Step-by-step explanation:
on Edge
Answer: 2
Step-by-step explanation:
have a great day!
Find the median of the dot plot below 5 6 7 8 9 10 11 12 13
Answer:
The median is 9
Step-by-step explanation:
Answer:
Hey love! Answer: 9
Step-by-step explanation:
these are the numbers 5 6 7 8 (9) 10 11 12 13
the median is simply just the one in the middle so this one is 9 because it has 4 numbers in front and 4 numbers after
Hope this helps!
What is the area?
4.6 yd
7.7 yd
Answer:
A = 35.42 yd²
Step-by-step explanation:
We need to find the area if the dimensions are given as 4.6 yd and 7.7 yd.
The area of a rectangle shaped figure is given by :
A = lb
Where
l is length and b is the breadth
So, put all the values,
A = (4.6)(7.7)
= 35.42 yd²
So, the area of the figure is equal to 35.42 yd².
Dan received 45 out of 60 points on his science test. What percent did he receive on his test?
what are all the solutions for the equation 5x^2-2x+16=4x^2+6x
Answer:
x=4 is a solution
Raul tossed a coin and spin a spinner with three equal sections. Based upon the results, what is the probability of tossing a tail and spinning a 2?
F. 1/10
G. 1/9
H. 1/8
J. 3/20
The experimental probability of tossing a tail and spinning a 2 is given by: Option H: 1/8
What is experimental probability?Experimental probability calculates the probability of some event from the results of experiments.
For an event E, we get the experimental probability of that event
[tex]P_e(E) = \dfrac{\text{Number of times E occurred}}{\text{Number of times experiments was done}}[/tex]
where, [tex]P_e(E)[/tex] is denoting experimental probability of occurrence of E.
For this case, the table is missing, the results recorded were:
Toss Spin Frequency
Head 1 2
Head 2 6
Head 3 7
Tail 1 7
Tail 2 5
Tail 3 13
That means total number of times experiment was done was: 2+6+7+7+5+13=40
Let we take E = event of tossing a tail and spinning a 2
Thus, from the table, we see that E occurred 5 times.
Thus, based on this, the experimental probability of occurrence of E is:
[tex]P_e(E) = \dfrac{5}{40} = \dfrac{1}{8}[/tex] (option H)
Learn more about probability here:
brainly.com/question/1210781
A.34
B.268
C.2,145
D.17,157
Select the correct answer.
graph A graph B
graph C graph D
Which graph correctly represents
3x + y > 7?
A.
graph A
B.
graph B
C.
graph C
D.
graph D
Answer:
the graph that represents 3×+→7 it is graph b
Do as the question asks. I promise I will award a brainliest answer :)
1st picture is a PENTAGON
2nd picture is a OCTAGON
3rd picture is a HEPTAGON
Answer:
Step-by-step explanation:
hope this helps! :)
Please help, I will give brainliest!!!
The table models the flight of the projectile from Part A
Which of these statements is true?
A) h(4) < h(20)
B) The flight is symmetric about the line t=10
C) The projectile will hit the ground at some value of t less than 24.
D) If 0<a<12, then h(12-a) = h(12+a).
If 0 < a < 12, then h(12 – a) = h(12 + a) is true. Then the correct option is D.
What is a projectile motion?When a body is thrown in the air at an angle, then the term is known as projectile motion.
The table is given in the question.
A) h(4) < h(20), this statement is incorrect, because the h(4) = h(20).
B) The flight is symmetric about the line t = 10, this statement is incorrect, because symmetric about t = 12.
C) The projectile will hit the ground at some value of t less than 24. This is incorrect, because t > 24.
D) If 0 < a < 12, then h(12 - a) = h(12 + a). This statement is correct.
Then the correct option is D.
More about the projectile motion link is given below.
https://brainly.com/question/11049671
#SPJ1
The volume for a cylinder is given by the formula V = 72, where r is the radius of the cylinder and h is the height of the cylinder.
If the volume of a cylinder with a height of 3 centimeters is 363 7 cubic centimeters, then what is the radius of the cylinder?
A. 60.5 cm
B.
11 cm
C.
121 cm
D. 33 cm
HELP LOL !!!! The hypotenuse of a right triangle measures 17 inches.
One leg of the same triangle measures 5 inches.
Determine the length of the other leg.
Answer:
a is approximately 16.25, using the pythagorean theorem.
Step-by-step explanation:
a^2+ b ^2 = c^2
Answer:
wwach leg is 15 inches
Step-by-step explanation:
I hopes this helps
Based on your knowledge of how to find the volume of prisms, how would you find the volume of a cylinder?
Plz help this is due today AND NO LINKS OR GROSS PICTURES OR I REPORT.
Answer:
b- If two sides are perpendicular, then it is a right triangle. It can be isosceles or scalene. It cannot be equilateral because all the angles in an equilateral triangle are acute.
Step-by-step explanation:
An equilateral triangle has 3 equal sides and 3 congruent angles, each with an acute measure of 60 deg.
If two sides are perpendicular, they form a right angle, w/ measure of 90 deg. Therefore, cannot be equilateral.
30-60-90 triangles are quite common and useful in geometry... they are scalene and have 2 perpendicular sides.
45-45-90 triangles are isosceles and have 2 perpendicular sides.
Both are types of right triangles.
) Jolie draws a map of her neighborhood on a
coordinate plane. She draws her house at a point in
Quadrant II.
OU
Select all the points that could represent the location of
Jolie's house?
a.) (0,5)
b.) (1, -4)
c.) (-2, 0)
d.) (-4.71
Pls help and explain if you can
HELP HELP HELP ME OUT PLEASE WHATS THE ANSWER TO THIS YOU'LL GET 50+ BRAINLIEST POINTS PLEASE ANSWER CORRECTLY