Jack can use 3 3/14 feet of Barb wire used for each foot when he has 150 feet of barb wire which needs to be put on 35 3/4 feet of fencing.
We are given that:
Jack has 150 feet of Barb wire.
The fencing is:
35 3/4 feet that is equal to
= 140 / 3 feet
For each foot the Barb wire will be calculated by dividing the total Barb wire by the wire required for fencing.
So, we get that:
Barb wire used for each foot = 150 ÷ 140 / 3
Barb wire used for each foot = 450 / 140
Barb wire used for each foot = = 45 / 14
Barb wire used for each foot = 3 3/14 feet.
So, Jack can use 3 3/14 feet of Barb wire used for each foot when he has 150 feet of barb wire which needs to be put on 35 3/4 feet of fencing.
Learn more about division here:
https://brainly.com/question/25289437
#SPJ9
what was the approximate average speed, in meters per second, of the ocean current that carried the ducks to shore? (rubber ducks from the same spill began to appear on the coast of maine in july 2003.) use an average month length of 30 days.
There is an approximate average velocity. 0.1 m/s, or 0.222 m/h.
What is average velocity?A vector quantity is average velocity. The change in position and otherwise displacement (x) divided by that of the time intervals (t) during which the displacement happens is the definition of average velocity. The average velocity may be either positive or negative depending on the displacement's direction.
According to the given information is:The distance covered by the rubber ducks = 1600 miles.
The duration needed to cover this distance = 10 months.
The average ocean speed, according to definition, is
v = (1600 miles)/(10 months)
Now,
1 mile = 1609 m
10 months = (10 months)*(30 days/month) *(24 hours/day)
= 7200 hours (approx.)
= 7200*3600
= 2.592 x 10⁷ s
So that,
ν = [tex]\frac{(1600 \mathrm{~m}) *\left(1609 \frac{\mathrm{m}}{\mathrm{mi}}\right)}{(10 \mathrm{months}) *\left(2.592 \times 10^7 \frac{\mathrm{g}}{10 \mathrm{mon} t h}\right)}[/tex]
= 0.0993 m/s
Also,
ν = 1600/7200
= 0.222 mi/h
There is an approximate average velocity. 0.1 m/s, or 0.222 m/h.
To know more about average velocity visit:
https://brainly.com/question/862972
#SPJ4
I understand that the question you are looking for is:
A severe storm on January 10, 1992, caused a cargo ship near the Aleutian Islands to spill 29,000 rubber ducks and other bath toys into the ocean. Ten months later hundreds of rubber ducks began to appear along the shoreline near Sitka, Alaska, roughly 1600 miles away.
What was the approximate average speed of the ocean current that carried the ducks to shore in m/s and in mi/h? (Rubber ducks from the same spill began to appear on the coast of Maine in July 2003.)
Which of the following describes the end behavior of the function f(x) = root(x, 3) - 4 as approaches infinity ?
Answer:1) An operator is missing in your statement. Most likely the right expression is:
Step-by-step explanation:
2x
f(x) = -------------
3x^2 - 3
So, I will work with it and find the result of each one of the statements given to determine their validiy.
2) Statement 1: The graph approaches 0 as x approaches infinity.
Find the limit of the function as x approaches infinity:
2x
Limit when x →∞ of ------------
3x^2 - 3
Start by dividing numerator and denominator by x^2 =>
2x / x^2 2/x
--------------------------- = ---------------
3x^2 / x^2 - 3 / x^2 3 - 3/x^2
2/∞ 0 0
Replace x with ∞ => ------------ = ------- = ---- = 0
3 - 3/∞ 3 - 0 3
Therefore the statement is TRUE.
3) Statement 2: The graph approaches 0 as x approaches negative infinity.
Find the limit of the function as x approaches negative infinity:
2x
Limit when x → - ∞ of ------------
3x^2 - 3
Start by dividing numerator and denominator by x^2 =>
2x / x^2 2/x
--------------------------- = ---------------
3x^2 / x^2 - 3 / x^2 3 - 3/x^2
2/(-∞) 0 0
Replace x with - ∞ => ------------ = ---------- = ---- = 0
3 - 3/(-∞) 3 - 0 3
Therefore, the statement is TRUE.
4) Statement 3: The graph approaches 2/3 as x approaches infinity.
FALSE, as we already found that the graph approaches 0 when x approaches infinity.
5) Statement 4: The graph approaches –1 as x approaches negative infinity.
FALSE, as we already found the graph approaches 0 when x approaches negative infinity.
Graph the equation by plotting three
points. If all three are correct, the line
will appear.
-3y = -x - 7
Answer:
spam question
not able to answer
Step-by-step explanatio
mark me
reflection across y = x
(2,-2)
(3,-5)
(-2,-4)
Determine if the function ƒ(x) = 3x5 – 9 is even, odd, or neither.
A) Neither odd nor even
B) Odd
C) Not enough information given
D) Even
Please help!!
The function f(x) = 3[tex]x^{5}[/tex] -9 given in the question is neither an even function nor an odd function
The function f(x) = 3[tex]x^{5}[/tex] -9 cannot be an even function because the exponential power is not in the multiples of 2 and there is second step to check whether the function is even function or not if f(x)= f(-x) but this cannot be checked here because it proved not be an even function in the first step itself
The function f(x) = 3[tex]x^{5}[/tex] -9 is odd function only if -f(x) = f(-x)
so lets check f(1)= 3([tex]1^{5}[/tex]) -9 = 3-9 = -6
now f(-1) = 3(-[tex]1^{5}[/tex]) -9 =-3-9=-12
and -f(1) = 6
Hence the function given in the question is neither an even function nor an odd function
To know more about even and odd functions - https://brainly.com/question/9854524
#SPJ9
the product of negative six and a number is thirty
Answer:
-6n = 30
Step-by-step explanation:
Valeria bought a 9 foot length of ribbon from which she wants to cuut 2/3 foot pieces how many pieces can she cut what will be the length of the leftover pirece of ribbon?
The number of pieces she can cut is 13 and the length of the leftover piece of ribbon is 1/3 feet, by basic algebra.
What is basic algebra?Numbers, variables, constants, expressions, equations, linear equations, and quadratic equations are all part of the basics of algebra. Additionally, the algebraic expressions contain the basic arithmetic operations of addition, subtraction, multiplication, and division.Given:
Total length of ribbon = 9 feetLength of each piece of ribbon = 2/3 feetTo find: Number of pieces of ribbon cut and length of leftover pieces.
Finding:
Let x be the number of pieces of ribbon that can be cut.
Then, according to question, by basic algebra:
2x/3 = 9
=> x = [tex]\frac{27}{2}=13\frac{1}{2}[/tex]
That is, the number of pieces of ribbon that can be cut are 13
The leftover length of ribbon is then given by:
9 - 13 (2/3) = 9 - (26/3) = 1/3
That is, the leftover length of ribbon is 1/3 feet.
To learn more about basic algebra, refer to the link: https://brainly.com/question/723406
#SPJ4
If ST 13 and RT = 46, find RS. Use the number line below.
R
RS=
(Type an integer or a decimal.)
CODO
So
The length of the line segment RS is 33 ;By considering the line segment RT of length 46 units and line segment ST of length 46 units.
Given a line segment RT of length 46 units and line segment ST of length 46 units and asked to find the length of line segment RS.
Given the number line RT;
RT=RS+ST
⇒46=RS+13
⇒RS=33
The length of line segment RS is 33 units.
Therefore,The length of the line segment RS is 33 ;By considering the line segment RT of length 46 units and line segment ST of length 46 units.
Learn more about length here:
https://brainly.com/question/8552546
#SPJ4
(Geometry)
I need help on #4 and #11, 12 and 13 please
Problem 4
Let's define these point locations
A = (-2, 2)B = (0,0)C = (0,4)D = (4,0)Angle DBC is 90 degrees since it covers the upper right quadrant
Angle CBA is 45 degrees
Therefore, angle ABD is 90+45 = 135 degrees.
Check out the diagram below.
Answer: 135 degrees=========================================================
Problem 11
x = the unknown angle
angle x and 140 combine to a straight angle (180 degrees)
x+140 = 180
x = 180-140
x = 40
Answer: 40 degrees=========================================================
Problem 12
This time the angles add to 90
x+36 = 90
x = 90-36
x = 54
Answer: 54 degrees=========================================================
Problem 13
The two angles x and 90 combine to a 120 degree angle
x+90 = 120
x = 120-90
x = 30
Answer: 30 degrees
Solve inequality.
9 a<45
To solve the inequality, divide both sides by 9. The solution is a < 5 or (∞, 5)
Tips to solve linear inequalities:
Isolate the variable on one side by using subtraction or addition. Subtraction and addition will not change the inequality.Use division or multiplication to find the solution. Multiplication and division by a positive number will not the inequality. However, if we multiply or divide both sides with a negative number, we need to flip the inequality direction.Interval notation is often used for the solution(s). Recall the differences between a bracket [ or ], and a parenthesis ( or ). A bracket means the endpoint is included in the solution while a parenthesis means the endpoint is not included in the solution. Remember, infinity ∞ always use a parenthesis.
Example: x ≥ 2 can be written as [2, ∞), while
x > 0 is written as (2, ∞)
The given problem:
9a < 45
Notice that the variable, a, is already isolated on the left side. Divide both sides by 9: (Note that the inequality sign is not flipped since 9 is a positive number)
9a : 9 < 45 : 9
a < 5
Using the interval notation, the solution is (∞, 5)
Learn more about solving inequalities here:
https://brainly.com/question/20596863
#SPJ4
The archery club competed in a tournament. Each archer shot 6 arrows in 5 minutes.
The numbers of arrows in the inner ring of the target, or bull’s-eye, are recorded in
the table. Which archer had an average rate that can be represented as a terminating
decimal?
Answer:
Step-by-step explanation:
Answer
the number of arrow in inner ring is i don't know
Stepby-step explanation:
Two students calculated the area of a polygon in the coordinate plane using different strategies. Explain the two methods. Which method do you prefer and why?
From the two methods to find the surface area, the method used by student 2 is most desirable as the smaller regular objects are easily interpreted to solve.
What is the area of the composite figure?
We want to find the area of the irregular composite polygon figure. Now, there are two ways to do this which are;
1) To divide the internal part of the irregular polygon into regular shapes and find the respective areas and add up to get the total area.
2) To inscribe the irregular polygon into a regular shape like a rectangle or square, Then divide into regular shapes the external parts of the irregular polygon that share boundary with the bigger regular shape. Then add up the areas and subtract from the area of the big regular shape.
Now, looking at the two options to find the surface area, the method used by student 2 is most desirable as the smaller regular objects are easily interpreted to solve.
Read more about Area of composite figure at; https://brainly.com/question/10254615
#SPJ1
Which domain would allow the inverse of y =cos(x)
The inverse of y = cos(x) could be a function in domain (A) [0, π].
What are domain and range?The domain of a function is the set of values that can be plugged into it. This set contains the x values in a function like f(x). A function's range is the set of values that the function can take. This is the set of values that the function returns after we enter an x value. To obtain the domain and range, simply solve the equation y = f(x) to determine the values of the independent variable x. To calculate the function's range, simply express x as x=g(y) and then find the domain of g(y).So, domain of y =cos(x):
The inverse cosine function has a domain of [1,1] and a range of [0, π].Therefore, domain (A) [0, π] would allow the inverse of y = cos(x) to be a function.
Know more about domain and range here:
https://brainly.com/question/2264373
#SPJ9
The complete question is given below:
Which domain would allow the inverse of y = tan(x) to be a function?
A) [0, π]
B) [0, 2π]
C) (-∞, ∞)
D) [-π/2, π/2]
Brandon wants to ride his bicycle 21 miles this week. He has already ridden 6 miles. If he rides for 5 more days, write and solve an equation which can be used to determine xx, the average number of miles he would have to ride each day to meet his goal.
Equation: 5x+6=21
Solve: 5x+6=21
-6= -6
5x=15
5x/5 = 15/5
x =3
Answer: x = 3
Using proportions, it is found that he would have to ride his bike 3 miles a day to meet his goal.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
He has already ridden the bike for 6 miles, and needs to run 21 - 6 = 15 miles in 5 days, hence the average is given by:
x = 15/5 = 3 miles a day.
He would have to ride his bike 3 miles a day to meet his goal.
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
Two angles are supplementary.
The measure of the larger angle is 12
less than 3 times the measure of the smaller angle. Find the measure of
the larger angle.
O A) 25.5°
O B) 64.5°
OC) 132°
O D) 144°
Answer:
c
Step-by-step explanation:
192=4x-12
Can someone help??????
Answer:
rotate 180
Step-by-step explanation:
because you can try it urself
Rays DA and DC are perpendicular. Point B lies in the interior of {angle]ADC. If m[angle]ADB = (3a + 10) degrees and m[angle]BDC = 13a degrees, find a, m[angle]ADB, and m[angle]BDC
Applying the definition of the angle formed by perpendicular lines, the measures are:
a = 5
m<ADB = 25°
m<BDC = 65°
What is the Angle Formed by Perpendicular Lines?When two lines intersect perpendicularly at a point, they form a right angle, which is equal to 90 degrees.
Thus, angle ADC is a right angle. Therefore, angles ADB and BDC are complementary angles. This means that:
m<ADB + m<BDC = 90°
Substitute
3a + 10 + 13a = 90
16a + 10 = 90
16a = 90 - 10
16a = 80
16a/16 = 80/16
a = 5
m<ADB = (3a + 10) = 3(5) + 10 = 25°
m<BDC = 13a = 13(5) = 65°
Thus, applying the definition of the angle formed by perpendicular lines, the measures are:
a = 5
m<ADB = 25°
m<BDC = 65°
Learn more about angle formed by perpendicular lines on:
https://brainly.com/question/14963960
#SPJ1
A machine starts working in 45 minutes at the temperature of 60degree celsius.how much machine required to work at temperature of75degree celsius?
The time required to work at temperature of75degree celsius is 56.25 minutes
Unit rateIf a machine starts working in 45 minutes at the temperature of 60degree celsius, the amount of time worked at a temperature of 1 degree is expressed as:
Unit rate = 45/60
Unit rate = 0.75degrees celsius/minute
Determine the time it required to work at temperature of 75degree celsius
Time required = 0.75 * 75
Time required = 56.25 minutes
Hence the time required to work at temperature of75degree celsius is 56.25 minutes
Learn more on unit rate here: https://brainly.com/question/19493296
#SPJ4
A small insect viewed through a convex lens is 1.8 cmcm from the lens and appears 2.5 times larger than its actual size. part a what is the focal length of the lens?
Answer:
4.50
Step-by-step explanation:
There's 2 total decimal places in both numbers.
Ignore the decimal places and complete the multiplication as if operating on two integers.
1 8
× 2 5
___________________
+ 9 0
+ 3 6
___________________
= 4 5 0Rewrite the product with 2 total decimal places.
Answer = 4.50
Therefore:
1.8 × 2.5 = 4.50
a certain european automobile has a gas mileage of 19 km/l. what is the gas mileeage in miles per gallon
The gas mileage in miles per gallon = 44.690mi/gal.
What is a vehicle's mileage?A vehicle's mileage is the number of miles it can drive solely on a single gallon or liter of fuel. They are ready to pay up to $500 more for fuel-efficient vehicles. 3. a noncountable noun.
How can I figure out my mileage?Subtract the original tachometer reading from either the new one to get the miles traveled first from the trip odometer. Divide the distance traveled by the number of gallons used to fill the tank. As a result, your car's overall kilometers per gallon yield for that driving period will be calculated.
According to the given data:1 km = 0.621371 mi
1 L = 0.264172 gal
calculating that the amount of gas mileage in miles per gallon by multiplying with distance and gas used per miles.
19 km/L = (19*0.621371)/0.264172 mi/gal
= 44.690 mi/gal
the gas mileage in miles per gallon = 44.690mi/gal.
To know more about vehicle's mileage visit:
https://brainly.com/question/13444557
#SPJ4
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Trent wants to buy 2 packs of trading cards for 3 dollars each. The trading card packs that Trent normally buys tend to come in packs of 6, 10, 12, or 15 cards. After selecting 2 packs, Trent found that the first pack of cards cost 25 cents per card, and the second pack cost 30 cents per card. Trent uses this information to write the equations below in order to compare c, the number of cards in each pack. There are cards in the first pack, and there are cards in the second pack. The first pack has more cards than the second pack.
A numerical data is also referred to as a quantitative data and it can be defined as a data set that is primarily expressed in numbers (numerals) only. This ultimately implies that, a numerical data refers to a type of data set consisting of numbers (numerals) rather than words.
Based on the information provided, the number of cards (c) in each pack can be modeled by the following mathematical expression (equation):
Note: 100 cent is equal to 1 dollar.
First pack: 0.25c = 3
Second pack: 0.3c = 3
Now, we can determine the number of cards (c) in the first pack as follows:
0.25c = 3
c = 3/0.25
Number of cards, c = 12 cards.
For the second pack, we have:
0.3c = 3
c = 3/0.3
Number of cards, c = 10 cards.
Therefore, there are 12 cards in the first pack, and there are 10 cards in the second pack.
Difference = First pack - Second pack
Difference = 12 - 10
Difference = 2 cards.
In conclusion, the first pack has 2 more cards than the second pack.
Read more on numerical data and numerals here: https://brainly.com/question/15379009
#SPJ1
how many 23 digit numbers consisting of the digits, 1,2,3,7,8,9 are divisble by 3? (hint: consider the divisibility test for 3)
Answer:
Hello,
answer : 259269764699508231
Step-by-step explanation:
We must use permutations with repetitions
approximately 60% of mathematics students do their homework on time. in a class of 100 students, what is the mean, variance, and standard deviation if we assume normality and use the normal distribution as an approximation of the binomial distribution? answer choices rounded to the nearest whole number
The mean of distribution will be 60, standard deviation will be 5 and variance will be 24
Given,
The total number of students (n)= 100
The probability of students, completing their homework on time (p)= 60%
= 60 / 100
= 0.6
According to the binomial distribution,
mean = np
= 100 × 0.6
= 60.
Variance = np× (1 - p)
= 100 × 0.6 × 0.4
= 24
Standard deviation = [tex]\sqrt{variance}[/tex]
= [tex]\sqrt{24}[/tex]
= 4.89 or 5
To learn more about binomial distribution from given link
https://brainly.com/question/9325204
#SPJ4
f+B=m What does B equal?
[tex]f + b = m \\ f + b - f = m - f \\ b = m - f[/tex]
for all composite integers $n$, what is the largest integer that always divides the difference between $n$ and the cube of $n$?
The product of three successive integers is represented by the symbol n3 n=(n1)(n)(n+1).
n3 n can be divided by 6.
What is consecutive integers ?Consecutive integers are the numbers that follow one another. They go either alphabetically or sequentially. For instance, a series of integers is a group of natural numbers. The term "consecutive" in mathematics refers to an unbroken flow or succession of numbers; hence, a sequence of consecutive integers is one where each following number is one more than the one before it. An array of consecutive integers (or numbers) has an identical mean and median. If x is a positive integer, then x + 1 and x + 2 are likewise positive integers. We shall learn in-depth details regarding formulas, characteristics, illustrations, and the significance.
To know more about Consecutive integers:-
https://brainly.com/question/1763119
#SPJ4
"Compare -√7 and -3.12345.... justify your reasoning." Please help ASAP!!! Thank you!
The comparison of the numbers is that -√7 is greater than -3.12345....
How to compare the numbers?The numbers are given as:
-√7 and -3.12345....
Using a calculator, we have:
-√7 = -2.6457.....
-2.6457.... is greater than -3.12345....
This means that
-√7 is greater than -3.12345....
Hence, the comparison of the numbers is that -√7 is greater than -3.12345....
Read more about irrational numbers at:
https://brainly.com/question/20400557
#SPJ1
1/3y^2+2/3y+1 is it a polynomial function
Answer:
yes it is
Step-by-step explanation:
because it has the leading power of x as 2
Complex numbers
I need help!
Answer:
1. i
2. -1
Step-by-step explanation:
82.156-41.31-29.16 (Estimated)
Answer:Your answer would be 11.686
Step-by-step explanation:Please give brainliest if right.
Answer:
The answer is or, should be 11.686
How to estimate 6x219
Answer:
To estimate I would either do 6x220 then subtract 6 from that sum
Or you could do 6x200
6x10
6x9
And add that to get your answer but 6x219 is 1314
Step-by-step explanation: