Answers
The average rate of variance of wind chill over each of these 3 intervals is 0.638, 0.523, and 0.332, respectively.
How to calculate the valueLet's select three respective intervals of wind speed and calculate the mean rates of variance in wind chill inside those ranges.
Interval 1: 3 ≤ w ≤ 10
Average rate of variance runs at: (wind chill at w=10 - wind chill at w=3) / (10 - 3)
= (-17.191 - (-20.475)) / (10 - 3)
= 0.638
Interval 2: 10 ≤ w ≤ 20
Average rate of variance stands at: (wind chill at w=20 - wind chill at w=10) / (20 - 10)
= (-12.958 - (-17.191)) / (20 - 10)
= 0.523
Interval 3: 20 ≤ w ≤ 30
Average rate of variance boils down to: (wind chill at w=30 - wind chill at w=20) / (30 - 20)
= (-9.635 - (-12.958)) / (30 - 20)
= 0.332
Hence, the average rate of variance of wind chill over each of these 3 intervals is:
0.638, 0.523, and 0.332, respectively.
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Related Questions
Use substitution to solve the system.
-4x+5y = -26
y = 3x-14
Answers
Answer:
x= 4, y= -2
Step-by-step explanation:
To solve the system by substitution, start by labelling the two equations:
-4x +5y= -26 -----(1)
y= 3x -14 -----(2)
Since the second equation already has y as the subject of formula, we can substitute equation (2) into (1). This means that we can replace all the 'y's in equation (1) with 3x -4, such that equation (1) will only be in terms of x.
Substitute (2) into (1):
-4x +5(3x -14)= -26
Expand:
-4x +15x -70= -26
11x= 70 -26
11x= 44
Divide both sides by 11:
x= 44 ÷11
x= 4
Substitute x= 4 into (2):
y= 3(4) -14
y= 12 -14
y= -2
using your graph and the data provided develop a theory on the relationship between the amount of growthfast and the growth rate of carrots.
Answers
Based on the data provided on the growth rate of carrots and the growfast fertilizer applied, a relevant theory would be that the higher the amount of growfast applied, the higher the growth rate of the carrots.
How is fertilizer affecting the growth rate?We see that when the first gram of growfast was added, the growth rate of the carrots became:
= 2.0 - 0.5
= 1.5 mm/ day
After the 2nd gram was added, the growth rate became:
= 4.5 - 2
= 2.5 mm/ day
By the time the 6th gram of growfast was added, the growth rate of the carrots became:
= 24.5 - 18
= 6.5 mm/day
This showed that higher amounts of growfast fertilizer led to increased growth in the carrots.
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Jeff has 32,400 pairs of sunglasses. He wants to distribute them evenly among X people, where X is
a positive integer between 10 and 180, inclusive. For how many X is this possible?
Answers
Answer:
To distribute 32,400 pairs of sunglasses evenly among X people, we need to find the positive integer values of X that divide 32,400 without any remainder.
To determine the values of X for which this is possible, we can iterate through the positive integers from 10 to 180 and check if 32,400 is divisible by each integer.
Let's calculate:
Number of possible values for X = 0
For each value of X from 10 to 180, we check if 32,400 is divisible by X using the modulo operator (%):
for X = 10:
32,400 % 10 = 0 (divisible)
for X = 11:
32,400 % 11 = 9 (not divisible)
for X = 12:
32,400 % 12 = 0 (divisible)
...
for X = 180:
32,400 % 180 = 0 (divisible)
We continue this process for all values of X from 10 to 180. If the remainder is 0, it means that 32,400 is divisible by X.
In this case, the number of possible values for X is the count of the integers from 10 to 180 where 32,400 is divisible without a remainder.
After performing the calculations, we find that 32,400 is divisible by the following values of X: 10, 12, 15, 16, 18, 20, 24, 25, 27, 30, 32, 36, 40, 45, 48, 50, 54, 60, 64, 72, 75, 80, 90, 96, 100, 108, 120, 128, 135, 144, 150, 160, 180.
Therefore, there are 33 possible values for X between 10 and 180 (inclusive) for which it is possible to distribute 32,400 pairs of sunglasses evenly.
Hope it helps!
When people order books from a popular online source, they are shipped in standard that the mean weight of the boxes is 1.5 pounds with a standard deviation of 0.3 pounds, the mean weig the packing material is 0.5 pounds with a standard deviation of 0.1 pounds, and the mean weight of the books shipped is 12 pounds with a standard deviation of 3 pounds. Assuming that the weights are independent, what is the standard deviation of the total weight of the boxes that are shipped from this source?
A) 1.84
B) 3.02
C) 9.10
D) 2.60
E) 3.40
Answers
The standard deviation of the total weight of the boxes that are shipped from this source is 3.02 pounds. Therefore, the correct answer is option B.
What is the standard deviation of the total weight of the boxes that are shipped from this source?
To find the standard deviation of the total weight of the boxes that are shipped from this source, we need to add the weight of the books and the weight of the packing material to the mean weight of the boxes and take the standard deviation of the sum of the weights.
According to the given information,
Mean weight of boxes shipped, μ1 = 1.5 pounds
Standard deviation of boxes shipped, σ1 = 0.3 pounds
Mean weight of the packing material, μ2 = 0.5 pounds
Standard deviation of the packing material, σ2 = 0.1 pounds
Mean weight of books shipped, μ3 = 12 pounds
Standard deviation of books shipped, σ3 = 3 pounds
We know that if X1, X2, X3 are three independent random variables, then the standard deviation of their sum Y is given by:
σY = √σ₁²+ σ₂² + σ₃²σY = √(0.3)² + (0.1)² + (3)²σY = √0.09 + 0.01 + 9σY = √9.1σY = 3.02
Thus, the standard deviation of the total weight of the boxes that are shipped from this source is 3.02 pounds. Therefore, the correct answer is option B.
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find the domain of the vector-valued function. (enter your answer using interval notation.) r(t) = f(t) × g(t), where f(t) = t3i − tj tk, g(t) = 3 t i 1 t 2 j (t 8)k
Answers
In interval notation, the domain of r(t) is (-∞, -8) ∪ (-8, +∞).
We have,
To find the domain of the vector-valued function r(t) = f(t) × g(t), we need to consider the values of t that make the function well-defined.
Let's analyze the components of f(t) and g(t) first:
f(t) = t³i - tj - tk
g(t) = 3ti + (t²j/(t + 8))k
The domain of r(t) will be determined by the intersection of the domains of f(t) and g(t).
For f(t), there are no restrictions on t. It is defined for all real values of t.
For g(t), we need to consider the denominator (t + 8).
To avoid division by zero, we must ensure that t + 8 ≠ 0.
Thus, the domain of g(t) is all real numbers except t = -8.
Therefore, the domain of r(t) is the intersection of the domains of f(t) and g(t), which is all real numbers except t = -8.
Thus,
In interval notation, the domain of r(t) is (-∞, -8) ∪ (-8, +∞).
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which expression is a factor of this polynomial x^3+2x^2-9x-18
a(x-2)
b(x+1)
c(x+2)
d(x-6)
please hurry
Answers
Answer: (x+2)
Step-by-step explanation:
The factor of the polynomial expression is "(x+2)".
Polynomial expression:\(\to x^3+2x^2-9x-18\)
factor=?
\(\to x^3+2x^2-9x-18=0\\\\\to x^2(x+2)-9(x-2)=0\\\\\to (x+2)(x^2-9)=0\\\\\to (x+2)(x^2-3^2)=0\\\\\to (x+2)(x-3)(x+3)=0\\\\\)
Therefore, the answer is "\((x+2)\)".
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5. A farmer's field has the dimensions shown. He needs to find the area of the field so that he knows how much seed to buy. 1 km w 21 km 2 II square kilometers
Answers
ok
\(\begin{gathered} \text{ 2}\frac{3}{4}\cdot\text{ 1}\frac{1}{3}\text{ = }\frac{8\text{ + 3}}{4}\cdot\text{ }\frac{3\text{ + 1}}{3}\text{ } \\ \text{ = }\frac{11}{4}\cdot\text{ }\frac{4}{3} \\ \text{ = }\frac{44}{12} \\ \text{ = 3 }\frac{8}{12} \\ \text{ = 3}\frac{4}{6}\text{ or} \\ \text{ = 3}\frac{2}{3}km^2 \end{gathered}\)The answer is the last line.
the physical fitness of an athlete is often measured by how much oxygen the athlete takes in (which is recorded in milliliters per kilogram, ml/kg). the mean maximum oxygen uptake for elite athletes has been found to be 60 60 with a standard deviation of 6.4 6.4 . assume that the distribution is approximately normal. (a) what is the probability that an elite athlete has a maximum oxygen uptake of at least 50 50 ml/kg? answer:
Answers
The probability that an elite athlete has a maximum oxygen uptake of at least 50 ml/kg is approximately 1.
Given, the mean maximum oxygen uptake for elite athletes is 60 ml/kg and the standard deviation is 6.4 ml/kg. We can use the standard normal distribution to find the probability of an athlete having a maximum oxygen uptake of at least 50 ml/kg.
First, we need to find the z-score corresponding to a maximum oxygen uptake of 50 ml/kg:
\($z = \frac{50 - 60}{6.4} \approx -1.56$\)Using a standard normal distribution table or calculator, we can find the probability that a standard normal random variable is less than or equal to -1.56, which is approximately 0.06.
However, we are interested in the probability of an athlete having a maximum oxygen uptake of at least 50 ml/kg, which is equivalent to finding the probability of a standard normal random variable being greater than or equal to -1.56. This probability can be found by subtracting the probability of being less than -1.56 from 1:
\($P(Z \geq -1.56) = 1 - P(Z < -1.56) \approx 1$\)Therefore, the probability that an elite athlete has a maximum oxygen uptake of at least 50 ml/kg is approximately 1, meaning it is highly likely that an elite athlete has a maximum oxygen uptake of at least 50 ml/kg.
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William purchased some pillows for $36 they are 25% off what was the original price of the pillows
Answers:
A: $48
B: $46
C: $9
D: $44
Answers
Answer:
Something is wrong here, the correct answer is $45 which is not listed.
Step-by-step explanation:
36 x 1.25 = 45
PLEASE TELL ME HOW TO PASS A EXAM WHILE YOUR CAMERA IS ON AND YOU ARE FAR FROM THE DEVICE AND YOU DON'T KNOW ANYTHING.
PLEASE I BEG YOU
Answers
Answer:
Step-by-step explanation:
lol put ur books or notes or whatever behind the device and cheat
BUT I really don’t advice u to cheat just try preparing for the exam or do as much as u can and don’t waste ur time at least u would know something while solving the exam.
(a) Consider the family of curves given by the polar equations r sin(n), where n is a positive integer. How is the number of loops related to n? Check all that apply. A. There are 4n loops when n is odd. B. There are 2n loops when n is even. C. There are n loops when n is odd. D. There is exactly 1 loop for each n. E. There are n loops when n is even. F. There are no loops. G. There are 4n loops when n is even H. There are 2n loops when n is odd.
Answers
The correct answers are option C for when n is odd and option E for when n is even.
The number of loops in the polar curves given by r sin(n), where n is a positive integer, is related to the parity of n. If n is odd, then the curve will have n loops, and if n is even, the curve will have 2n loops. Therefore, options C and E are correct.
To understand why this is the case, we can consider how the sine function behaves. The sine function oscillates between -1 and 1 as its argument increases from 0 to 2π. When n is odd, the argument of sin(nθ) increases from 0 to 2π as θ goes from 0 to π, resulting in n oscillations of the sine function in this interval. When n is even, the argument of sin(nθ) increases from 0 to 4π as θ goes from 0 to π, resulting in 2n oscillations of the sine function in this interval. This behavior translates into the number of loops in the polar curve, where each oscillation of the sine function corresponds to one loop.
Therefore, the number of loops in the polar curve r sin(n) depends on the parity of n, with n loops for odd values of n and 2n loops for even values of n.
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find slope of the altitude on each side of triangle ABC (d) A(-2,-3), B(3,6), C(-5,5)letter d) question 3)
Answers
Graphing the points that make up the triangle you have
Now, to obtain the slope of each side of the triangle you can use the slope formula, that is,
\(\begin{gathered} m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \text{ Where m is the slope of the line and} \\ (x_1,y_1),(x_2,y_2)\text{ are two points through which the line passes} \end{gathered}\)So, the slope of segment AB will be
\(\begin{gathered} A=(x_1,y_1)=(-2,-3) \\ B=(x_2,y_2)=(3,6) \end{gathered}\)\(\begin{gathered} m=\frac{6-(-3)}{3-(-2)} \\ m=\frac{6+3}{3+2} \\ m=\frac{9}{5} \end{gathered}\)The slope of segment BC will be
\(\begin{gathered} B=(x_1,y_1)=(3,6) \\ C=(x_2,y_2)=(-5,5) \\ m=\frac{5-6}{-5-3} \\ m=\frac{-1}{-8} \\ m=\frac{1}{8} \end{gathered}\)The slope of segment AC will be
\(\begin{gathered} A=(x_1,y_1)=(-2,-3) \\ C=(x_2,y_2)=(-5,5) \\ m=\frac{5-(-3)}{-5-(-2)} \\ m=\frac{5+3}{-5+2} \\ m=\frac{8}{-3} \\ m=-\frac{8}{3} \end{gathered}\)Therefore, the slope of each side of the triangle ABC is
\(\begin{gathered} \text{ The slope of segment AB is }\frac{9}{5} \\ \text{ The slope of segment BC is }\frac{1}{8} \\ \text{ The slope of segment AC is }\frac{-8}{3} \end{gathered}\)
Find the area of the figure.
Answers
Step-by-step explanation:
Area of Rectangle at the top =
Length x Width
\( = 3.5 \times 3 \\ = 10.5 {mm}^{2} \)
Area of Quarter- Circle = 1/4 x Area of Circle
\( = \frac{1}{4} \pi {r}^{2} \\ = \frac{1}{4} \pi( {3.5}^{2} ) \\ = 3 \frac{1}{16} \pi {mm}^{2} \)
Area of Rectangle at the right = Length x Width
\( = 5.5 \times 3.5 \\ = 19.25 {mm}^{2} \)
Total Area = Area of 2 Rectangles + Area of Quarter Circle
\( = 10.5 + 3 \frac{1}{16} \pi + 19.25 \\ = 29.75 + 3 \frac{1}{16}\pi \\ = 32 \frac{13}{16}\pi {mm}^{2} \)
I will leave the answer in terms of pi as I'm not sure if you need to round off your answer.
-1 7/8 times 2 9/10
I’m stuck on this any help?
Answers
Answer:
Exact form: -87/16
decimal from -5.4375
mixed number form -5 7/16
Step-by-step explanation:
I'ma god at math
Explanation:
-1 7/8 = -8/8 + 7/8 = -1/8
2 9/10 = 20/10 + 9/10 = 29/10
=> -1 7/8 x 2 9/10
= (-1/8)(29/10)
= -29/80
Tony is putting money into a checking account. Let represent the total amount of money in the account (in dollars). Let represent the number of Tony has been adding money. Suppose that and are related by the equation . Answer the questions below. Note that a change can be an increase or a decrease. For an increase, use a positive number. For a decrease, use a negative number. What was the starting amount of money in the account? s What is the change per in the amount of money in the account?
Answers
Weekly change: 40
Initial investment: 450
Given that,
Tony is transferring funds to his checking account. Let y signify the overall balance of the account's funds (in dollars). Let x be the quantity Bill has been adding money for in weeks. Assume that 40x+450=y represents the equation between x and y.
Given that x is the number of weeks Bill added money, this indicates that he was depositing $40 into the account every week.
Because x denotes the number of weeks he was contributing money and x is by 40, not 450, the initial amount was 450.
Therefore, Weekly change: 40 and Initial investment: 450
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Theo mows a lawn. After working for 1 3/5 hours, he has mowed 7/9 of the lawn. Can Theo mow the lawn in 2 hours if he continue to mow at the same rate?
Answers
Yes, he can mow the lawn in 2 hours.
What is work done?We can define the work done as, a work done in a given period of time.
Given that, Theo mows a lawn. After working for 1 3/5 hours, he has mowed 7/9 of the lawn
In \(1\frac{3}{5}\) hours he mows 7/9 part of lawn
Therefore, in 8/5 hours he is mowing 7/9 part of lawn
In 1 hour = 7/9*5/8 = 35/72
In 2 hours = 35/72*2 = 35/36 ≈ 1
Hence, Yes, he can mow the lawn in 2 hours.
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The area of a parallelogram is 18 square units. One side of the parallelogram is24 units long. The other side is 6 units long. Which could be the parallelogram'sheight?
Answers
The the parallelogram is like:
Where h is the height, The area of this parallelogram is calculated as:
A = 24*h
If the Area is equal t 18 square units, the height h is:
18 = 24*h
Solving for h, we get:
18/24 = h
0.75 units = h
Answer: a possible parallelogram's height is 0.75 units
ok I need help with this cylinder volume thing
ok so the volume is 20litres and the diameter is 13.5 but I need to find the length value. Length value needs to be in metres
Answers
Answer:
h = 0.139725
Step-by-step explanation:
Volume of a Cylinder Formula: V = πr²h
You are given V = 20 and r = 6.75.
20 = π(6.75)²h
20/45.5625π = h
h = 0.139725
I'm not sure if this is correct or not.
Answer:
≈1.4 m
Step-by-step explanation:
V= 20 l= 20 000 cm³
d= 13.5 cm ⇒ r= 13.5 cm / 2= 6.75 cm (assume it is cm)
V= πr²h
h= V/πr²= 20000/3.14*6.75² ≈ 140 cm= 1.4 m
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Calculator
Find the zeros of the function.
Enter the solutions from least to greatest.
g(x) = 4x2 – 484
lesser x =
greater 2 =
Answers
Answer:
x = -11, x = 11
Step-by-step explanation:
Zeros are when g(x) = 0:
\(0=4x^{2} -484\)
\(0=4(x^{2} -121)\)
\(0=x^{2} -121\)
Factor:
\(0=(x-11)(x+11)\)
\(0=x+11, 0=x-11\)
\(x=-11, x=11\)
Given the angles in the diagram below what is m<2?
Answers
Answer: 98
Step-by-step explanation: According to the corresponding angles theorem m<1=82. Then according to the linear supplements theorem m<2=98. Hope this helps!
Answer:
98°
Step-by-step explanation:
Angle 1 also measures 82° because it is a corresponding angle to the given angle. Angles 1 and 2 are supplementary and therefore must add up to 180°.
Raj completed his homework in 5/6 hour. His older brother took 1 1/2 times as long as Raj did to
complete his homework.
How long did it take Raj's older brother to complete his homework?
Enter your answer as a mixed number in simplest form by filling in the boxes.
Answers
The time that it took Raj's older brother to complete his homework was 1 ¹ / ₄ hours
How to find the time taken to complete the homework?The time that it would take for Raj to complete the homework is 5/6 hours. His older brother would do it in 1 1/2 times as long.
The first thing to do is to convert this to an improper fraction:
= 1 1/2
= (2 x 1 + 1) / 2
= 3 / 2
The time it would take Raj's brother is therefore:
= Time it took Raj x Multiple
= 3 / 2 x 5 / 6
= 15 / 12
= 1 .25
1.25 in mixed fractions is:
= 1 ¹ / ₄ hours
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Which equation represents the line that is perpendicular to y = 1/6 and passes through (-8,-2)?
Answers
Answer:
If it is perpendicular: mperp..=-1/m, so:
mperpendicular= -6.
formula of the line passing through one point:
y-y0=m(x-x0)
so: y+2=-6(x+8)
y=-6x+48-2
y=-6x+46 is the answer
Let an = 5n/4n + 1 Determine whether {an) is convergent. convergent divergent
Answers
To determine whether the sequence {an} = 5n/4n + 1 is convergent or divergent, we can analyze its behavior as n approaches infinity.
First, let's rewrite the expression for the nth term of the sequence:
an = 5n / (4n + 1)
As n approaches infinity, the denominator 4n + 1 becomes dominant compared to the numerator 5n. Therefore, we can simplify the expression by neglecting the term 5n:
an ≈ n / (4n + 1)
Now, we can consider the limit of the sequence as n approaches infinity:
lim(n→∞) n / (4n + 1)
To evaluate this limit, we can divide both the numerator and denominator by n:
lim(n→∞) (1 / 4 + 1/n)
As n approaches infinity, the term 1/n approaches zero, leaving us with:
lim(n→∞) 1 / 4 = 1/4
Since the limit of the sequence is a finite value (1/4), we can conclude that the sequence {an} = 5n/4n + 1 is convergent.
In other words, as n gets larger and larger, the terms of the sequence {an} get closer and closer to the limit of 1/4. This indicates that the sequence approaches a fixed value and does not exhibit wild oscillations or diverge to infinity. Therefore, we can say that the sequence is convergent.
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Question refer to the attachment !
Don't spam
Don't copy from web !
Answers
The construction of the triangle XYZ with the given specifications is as in the attached image.
Triangle constructionAccording to the question;
We are required to construct ∆XYZ in which case, XY = 6cm, angle measure <ZXY = 30° and m<XYZ = 100°.From the given information, we can evaluate the value of angle measure m<XZY to be 50°.
This is by virtue of the sum of angles in a triangle.
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what is 7/9 divided by 1/3? A.2 B.2 1/9 C.2 1/3. D.3
Answers
Answer:
It would be 2 1/3!
Step-by-step explanation:
PLEASE HELP WILL MARK BRAINIEST
Answers
Answer:
They're congruent by Side-Angle-Side (SAS)
Step-by-step explanation:
Midpoint Q makes sides LQ and QN equal, as well as MP and QP, so there's a side, depending on which one you choose.
We're told that angle L = angle N, so there's the equal angle.
Finally, we're told that LM = NP, so there's the other side.
How to find the radius of a circle when only the area is known?
Answers
Answer:
Divide the area by pi. Then, square root the answer.
Step-by-step explanation:
Area of a cirlce= pi r^2
Answer:
You have to divide by pi (3.14) APROXIMATELY and then divide what you get by the square root.
Determine the number of sides for the 6th shape in this pattern?
A)
ON
B)
7
C)
8
D)
9
Answers
Each successive shape in the sequence has one more side than the preceding shape. Therefore, the 6th shape in the sequence, an octagon, has 8 sides,beginning with a triangle which has 3 sides
The 6th shape in this pattern is an octagon, which has 8 sides. This pattern follows a sequence of shapes, beginning with a triangle which has 3 sides, followed by a square which has 4 sides, then a pentagon which has 5 sides, and so on. Each successive shape in the sequence has one more side than the preceding shape. Therefore, the 6th shape in the sequence, an octagon, has 8 sides.
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what are the solutions to to the equation x^2+4x+4=12
Answers
Answer:
\(x = -2 +2\sqrt 3\\\\x = -2 -2\sqrt 3\)
Step by step explanation:
\(~~~~~~x^2 +4x +4 = 12\\\\\implies x^2 +2\cdot 2x + 2^2 = 12\\ \\\implies (x+2)^2 = 12\\\\\implies x +2 = \pm\sqrt{12}\\\\\implies x = -2 \pm\sqrt{12}\\\\\implies x = -2\pm\sqrt{4 \times 3}\\\\\implies x = -2 \pm2\sqrt 3\)
I really need help ASAP ILL GIVE BRAINLY
Answers
Answer: D.
Step-by-step explanation:
You can start out with the form AX = B and solve for matrix X that would yield the answer
Then X = (A^-1)(B)
A = [1 -1]
[1 1]
A^-1 = (1/(1 - (1)(-1)))*[1 1]
[-1 1]
which can be written as (1/2) * [1 1]
[-1 1]
B = [26]
[6]
(A^-1)(B) = (1/2)*[1 1] [6]
[-1 1] [26]
= (1/2)*[32]
[20]
= [16]
[10]