Answer:
The yield of the stand if one-tenth of the trees are cut is 360000 board-feet.
Step-by-step explanation:
First, let is find the total amount of fir trees that occupies the area of 24 hectares. (1 hectare = 10000 square meters)
[tex]n = \sigma \cdot A[/tex]
Where:
[tex]\sigma[/tex] - Surface density, measured in trees per square meter.
[tex]A[/tex] - Total area, measured in square meters.
Given that [tex]\sigma = \frac{1}{20}\,\frac{tree}{m^{2}}[/tex] and [tex]A = 24\,h[/tex], the total amount of fir trees is:
[tex]n = \left(\frac{1}{20}\,\frac{trees}{m^{2}} \right)\cdot (24\,h)\cdot \left(10000\,\frac{m^{2}}{h} \right)[/tex]
[tex]n = 12000\,trees[/tex]
It is known that one-tenth of the tress are cut, whose amount is:
[tex]n_{c} = 0.1 \cdot n[/tex]
[tex]n_{c} = 0.1 \cdot (12000\,trees)[/tex]
[tex]n_{c} = 1200\,trees[/tex]
If each tree will yield 300 board-feet, then the yield related to the trees that are cut is:
[tex]y = S\cdot n_{c}[/tex]
Where:
[tex]S[/tex] - Yield of the tress, measured in board-feet per tree.
[tex]n_{c}[/tex] - Amount of trees that will be cut, measured in trees.
If [tex]n_{c} = 1200\,trees[/tex] and [tex]S = 300\,\frac{b-ft}{tree}[/tex], then:
[tex]y = \left(300\,\frac{b-ft}{tree} \right)\cdot (1200\,trees)[/tex]
[tex]y = 360000\,b-ft[/tex]
The yield of the stand if one-tenth of the trees are cut is 360000 board-feet.
HELP
IMA GIVE BRAINLIEST
Answer:
[tex] \frac{1}{8} [/tex]
Step-by-step explanation:
there are 8 numbers
we want one of them (number 4)
which is 1 in 8
that is:
[tex] \frac{1}{8} [/tex]
what point lies on y-2=5(x-6)
Answer: (0, -28)
Step-by-step explanation:
Turn this equation into slope-intercept form.
y-2=5x-30
y=5x-28.
Because the y-intercept is -28, the point (0,-28) must be on the line.
Hope it helps <3
help!!!
evaluate 0.2m + 6 - 4n when m=20 and n= 1/2
Answer:
Step-by-step explanation:
0.2(20)+6-4(1/2)=4+6-2=8
Answer:
0.2(20)+6-4(112)=4+6-2=8
Hello, a Maths question if anyone knows what to do Solve: 6(x+4)=30
Answer:
x = 1
Step-by-step explanation:
6(x+4)=30 (divide both sides by 6)
(x+4) = 30/6
x+4 = 5 (subtract 4 from both sides)
x = 5 - 4
x = 1
Step-by-step explanation: 6(x+4)=30
(Distributive property): 6x+24=30
( Transposition method): 6x=30-24( + becomes -) 6x=6
(Transpose 6 to rhs) x=6/6( since it was multiplication on LHS it becomes division in RHS) x=1
can someone help me answer this
Answer:
x = 80°
Step-by-step explanation:
x = 180 - ( 129 + 71 ) / 2
Thanks!
Find the slope then the y - intercept of the line. Y = -5/2x + 3
Answer:
m = -5/2
b = 3
Step-by-step explanation:
The equation is in y = mx +b form where m is the slope and b is the y-intercept. This means that the slope is -5/2 and the y-intercept is 3.
Trevor drew lines of best fit for two scatter plots, as shown. Which statement describes the placement of the lines Trevor drew?
Answer:
A)Only Line A is well placed line of best fit
Step-by-step explanation:
Best fit line :A line through a scatter plot of data points that best expresses the relationship between those points is called best fit line
The least-squares method provides the closest relationship between the dependent and independent variables by minimizing the distance between the residuals and the line of best fit
By considering both the given graphs
We can see that Line A gives the minimum distance between residuals and line of best fit whereas Line B does not give the minimum distance between residuals and line of best fit
So,Option A is true
A)Only Line A is well placed line of best fit
Answer: a) only line A is a well placed line of best fit
Step-by-step explanation:
The population of a large city can be calculated using the function . What can you say about the rate of change from year 1 to year 2 compared to the rate of change from year 9 to year 10
Answer:
The rate of change will be the same for all years.
Step-by-step explanation:
As it is mentioned in the question, that the rate of change is 7%.
And as we know that
= I (1 + R)^T
where
I = Initial amount
R = Rate of growth,
And T = Time.
So in the given case, the rate is 0.07, or 7% while on the other hand the growth RATE remains constant and the growing amount would be increased each year.
Therefore the rate of change would be the same for all the year
Which diagram shows possible angle measures of a triangle? A triangle has angle lengths 35 degrees, 115 degrees, and 25 degrees. A triangle has angle lengths 32 degrees, 115 degrees, and 33 degrees. A triangle has angle lengths 35 degrees, 120 degrees, and 35 degrees. A triangle has angle lengths 30 degrees, 120 degrees, and 20 degrees.
The diagram that will show possible angle measures of a triangle is. A triangle has angle lengths of 32 degrees, 115 degrees, and 33 degrees.
It should be noted that the sum of the angles that are in a triangle equals 180°. Therefore, in this situation, we'll need to add the values and the one that gives 180° is the right answer.
Therefore, when a triangle has angle lengths 32 degrees, 115 degrees, and 33 degrees, the sum will be:
= 32 + 115 + 33
= 180°
Read related link on:
https://brainly.com/question/16942878
Answer:
Step-by-step explanation:
It's B
Can someone please help me I really need help please help me thank you
Answer:
D. 2
Step-by-step explanation:
The rate of change is also considered the slope in graph form.
In the first chart every time the t-value goes up twice the c-value goes up four times.
The same can be said for the graph on the bottom.
Highlands
Analyze the dot plots. What is the approximate
difference between the means of the two data sets to
the nearest whole number?
mm
2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32
Rainfall (mm)
Lowlands
2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32
Rainfall (mm)
Answer:
3 mm
Step-by-step explanation:
Can someone please help me I really need help
Use the Pythagorean theorem:
c^2 = 2^2 + 2^2
c^2 = 4 +4
c^2 = 8
c = sqrt(8)
c = 2.8284
Rounded to nearest tenth = 2.8
Circle C is inscribed in triangle QSU. Circle C is inscribed in triangle Q S U. Points R, T, and V of the circle are on the sides of the triangle. Point R is on side Q S, point T is on side S U, and point V is on side Q U. The length of Q R is 10, the length of R S is 2 x, the length of S T is x + 3, and the length of T U is 4. What is the perimeter of triangle QSU? 3 units 16 units 30 units 40 units
Answer:
I can confirm the answer is:
D. 40 units
Step-by-step explanation:
I just took the test on edge and got it right!
The perimeter of the Δ QSU is given as 40 units. (Option D). See explanation below.
What is the perimeter of Δ QSU?We can derive the perimeter by stating:
2x = x + 3 ⇒ x = 3
This is because Δ RSC ≅ Δ TSC
RS = 2 x 3 = 6 = ST
This is because ΔQRC ≅ ΔQVC
TV = VU = 4; we know this because
ΔCVU ≅ Δ CTU
Thus
QR = QV = 10
CΔQSU = 10 + 6 + 10 +14
= 40 Units.
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Solve for the width in the formula for the area of a rectangle.
Use the rewritten formula to find the width of a rectangle with an area of 42 square inches and a length of 16.8 inches.
Answer:
2.5
Step-by-step explanation:
42/16.8=2.5
Answer:
w=A/I
2.5in
Step-by-step explanation:
This is the full answer
the bed on jeffs pick up truck is 8 feet lomg. On a scale model of his truck the bed is 10 inches long. what is the scale of the model?
i think it would be 9.6 inches because 8 feet is 96 total inches so you could divide that by 10 getting every inch on the model to represent 9.6 inches on jeffs truck totaling at 96 inches or 8 feet
write the unit digit of denominator of (x+y)*z where x = -4/3 y =1/2 z= -7/5 plz help
Answer:
6
Step-by-step explanation:
(x+y)*z= (-4/3+1/2)*(-7/5)= -5/6* (-7/5)= 35/30=7/6
Denominator is 6.
V2 is in between what two numbers??
Answer:
sqrt of 2 is between 1 and 2
The square root of 2 is in between the square of one and the square of 2.
ILL MARK BRAINLIEST In independent random samples of 10 men and 10 women in a coed basketball league, the numbers of points scored per season are given by the back-to-back stemplot below:
Part A: Describe the shape of each data set.
Part B: Michaela analyzed the data and stated that the better measure of center for the women is the mean. Is Michaela correct? Explain your reasoning.
Part C: Michaela decided there are no outliers in the women's data set. Is she correct? Justify your answer mathematically.
Answer:
Step-by-step explanation:
Hello!
a)
To compare both datasets I've made a box plot for them.
The yellow one belongs to the points scored by the men and the green one is for the points scored by the women.
Women: The box seems symmetrical, the median and the mean (black square) are almost the same. The whiskers are almost the same length, you could say that in general the points scored by the women have a symmetrical distribution.
Men: The box looks a little skewed to the right, the median is closer to the 1st quantile and the mean is greater than the median. The whiskers are the same length, in general the distribution seems almost symmetrical.
b)
As you can see in the box plot the median and mean of the points scored by the women are almost the same. Using the data I've calculated both values:
Me= 24.50
X[bar]= 23.80
The median divides the sample in halves (50-50), it shows you where the middle of the distribution is.
The average shows you the value that centers the distribution, meaning, it is the value around which you'll find most of the data set. It summarizes best the sample information and therefore is a better measure of center.
c.
As you can see in the box plots, there are no outliers in both distributions.
An outlier is an observation that is significantly distant from the rest of the data set. They usually represent experimental errors (such as a measurement) or atypical observations. Some statistical measurements, such as the sample mean, are severely affected by this type of values and their presence tends to cause misleading results on a statistical analysis.
Considering the 1st quartile (Q₁), the 3rd quartile (Q₃) and the interquartile range IQR, any value X is considered an outlier if:
X < Q₁ - 1.5 IQR
X > Q₃ + 1.5 IQR
Or extreme outliers if:
X < Q₁ - 3 IQR
X > Q₃ + 3 IQR
For the women data set:
Q₁= 17; Q₃= 30; IQR= 30 - 17= 13
Lower outliers: X < Q₁ - 1.5 IQR= 17-1.5*13= -2.5 ⇒ The minimum value recorded is 03, so there are no outliers.
Upper outliers: X > Q₃ + 3 IQR= 30 + 1.5*13= 49.5 ⇒ The maximum value registered is 41, so there are no outliers.
I hope this helps!
good morning :) The train to Sun City travels 150 miles per hour. How long will a trip take if Sun City is 525 miles away? A. 4 hours B. 3 hours 30 minutes C. 3 hours 15 minutes D. 3 hours
Answer: B. 3 hours 30 minutes
Step-by-step explanation:
Time = Distance / Speed
Time = 525 / 150
Time = 3.5
If Milly has 29924827134702 candies and she gave 928439 to BOB then he gave 1000 back to Milly How much does both Milly and BoB have?
Answer:
"BOB" gave back 1000 that would be 928439 - 1000 = 927439(BOB has)
"BOB" gave back 1000 to Milly.. 29924827134702 + 1000 = 2.9924827(MILLY has)
Step-by-step explanation:
well, first, if "BOB" gave back 1000 that would be 928439 - 1000 = 927439, so "BOB" now has 27439. and now, "BOB" gave back 1000 to Milly sooo now it is 29924827134702 + 1000 = 2.9924827 (e+13) soooo ya thats it
hope this helped LOL
If f is a function such that [tex]\lim_{x \to a} \frac{f(x)-f(a)}{x-a} =5[/tex], then which of the following statements must be true? A) f(a) = 5 B) The slope of the tangent line to the function at x = a is 5. C) The slope of the secant line through the function at x = a is 5. D) The linear approximation for f(x) at x = a is y = 5
Answer:
Option D). is correct choice.
Step-by-step explanation:
The linear approximation for f(x) at x = a is y = 5
Best Regards!
Apply the distributive property to factor out the greatest common factor. 32 + 44 = 32+44=32, plus, 44, equals
Answer:
4 is the largest number that is common to both 32 and 44. Factoring it out looks like this: 4(8 + 11) = 4(8 + 11). That's weird to me but all textbooks begin that process just that same way.
Step-by-step explanation:
Greatest common factor of 32 and 44 is 4:
32/4 = 8
44/4 = 11
Factor 4 out of the equation 32 + 44 =
The factored form would be 4(8 + 11)
8 Use prime factorization to find the LCM of 20 and 44,
O 64
0 220
880
Answer:
Th answer is 220
Step-by-step explanation:
Express - 64 by 112 as a rational number with denominator 7 .plz answer fast so l will follow you .
Answer:
-4/7
Step-by-step explanation:
When we simplify the fraction -64/112, we get -4/7.
Answer:
-4/7
Step-by-step explanation:
-64/112 is already a rational number.
Simplify the fraction.
= -4/7
HURRY PLEASE!!!!
in circle O, line SU is a diameter. what is the measure of arc ST?
100°
108°
130°
160°
Answer:
130
Step-by-step explanation:
15. An electric can opener is worth 38 dollars when it is new. After each year it is worth half what it was the
previous year. What will its worth be after 4 years? Round your answer to the nearest cent.
$4.19
$4.75
b. $1.19
d. $2.38
a.
c.
Answer: d. $2.38
Step-by-step explanation:
Exponential decay function: [tex]Ab^x[/tex], where A = initial value
x= Time mperiod
b = multiplicative decay rate
As per given, we have
A = 38 dollars
b= 0.5
Amount after x years : [tex]38(0.5)^x[/tex]
Then, at x= 4
Amount after 4 years : [tex]38(0.5)^4=38(0.0625)[/tex]
[tex]=2.375\approx2.38[/tex]
Hence, the worth of electric can opener after 4 years = $2.38.
So, correct option is d. $2.38
SOMEONE HELP!! I will mark you as brainlist!!!
Answer:
Step-by-step explanation:
In arithmetic progression common difference is given by
d = nth term - (n-1)th term.
In geometric progression common ratio is given by
r = nth term / (n-1)th term.
Another thing important to note is that in both AP and GP common difference and common ratio remains same for any two consecutive terms which can be calculated using above formula.
we will be using this concept to solve this problem.
________________________________
Let look at the problem
series
11, 6 ,1
Lets try to find common difference for this series
common difference of third and second term = 1-6 = -5
common difference of second term and first term = 6 -11 = -5
Thus, we see that common difference is same in both case ,
hence it can be concluded that series is Arithmetic progression.
another way to validate this is
nth term of AP is given by
nth term = a + (n-1)d
where a is first term
lets try to find third term using this formula and using d = -5 and a = 11
3rd term = 11 + (3-1)-5 = 11 + 2*-5 = 11- 10 = 1
Thus, we see that third term calculated is same as given in series i.e 1
Hence series is Arithmetic progression validated as well.
______________________________________________
Problem is solved but lets see if the series is GP or not
common ratio of third and second term = 1/6 = 1/6
common ratio of second term and first term = 6 /11
Thus, we see common ratio is not same for the two consecutive term in the series and hence series cannot be geometric progression.
the sum of two numbers is-5.When twice the first number is added to the second number the result is -2,find the two numbers
Answer:
Step-by-step explanation:
First write the question as an equation
x+y = -5
2x+y = -2
From the given equations, we can create a third one.
x+y+2x+y = -7 or 3x+2y = -7
Use trial and error method for the possible values x and y
We know that at least one of these two have to be negative.
x can be 1, in which case y has to be 5.
Check this for
x+y ≠ -5
x can be -1
Try another one where x = -1 and y has to equal -2
Check this
X
x+y = -5
but,
2x+y ≠ -2
Another one,
Answer:
3 and -8
3 x 2 = 6
6 + -8 = 2
3 + -8 = 5
You have to find out which numbers add up to -5
Mainly trial and error
Step-by-step explanation:
Dana has to pay 10% tax on any income above £18,000 per year. Dana is paid £24,000 annually. Calculate the amount of money she receives after tax each month.
Answer:
£21,600
Step-by-step explanation:
First thing I did was turn 10% into a decimal of .10 . I then went ahead to multiply that tax by 24, 000. Once I did that I got 2 400. I then went ahead to subtract that from her paycheck and got the outcome of 21 600.
que son los angulos adyacentes
Answer:Two angles are Adjacent when they have a common side and a common vertex (corner point) and don't overlap.
Step-by-step explanation: