Answer: [tex]15000\ lbf.ft[/tex]
Step-by-step explanation:
Given
Force acting is [tex]200\ Pounds[/tex]
The direction of action is from [tex](0,0)\ to\ (-75,0)[/tex]
Work done is given by
[tex]W=F\cdot ds[/tex]
As the displacement occurs in the x-direction
[tex]\therefore W=200\cdot 75\\\Rightarrow W=15000\ lbf-ft[/tex]
A wood has pine, oak and ash trees.
The numbers of pine trees and oak trees are in the ratio 5:8.
The numbers of oak trees and ash trees are in the ratio 2:3
The total number of trees in the wood is 300. Find the number of ash trees.
solve the system:
2x+5y=24.
x=y+5
(i need the answer completely with the problem, and without a link)
Jina is running. The number of minutes she has run varies directly with the number of calories she has burned. See the graph below.
How many calories is Jina burning per minute ?
What is the slope of the graph ?
The number of calories Jina is burning per minute is 0.1 and the slope is 0.1
How many calories is Jina burning per minute?From the question, we have the following parameters that can be used in our computation:
Points, (x, y) = (0, 0) and (150, 15)
The burning rate per minute can then be calculated as
Burning rate per minute = (y₂ - y₁)/(x₂ - x₁)
Substitute the known values in the above equation, so, we have the following representation
Burning rate per minute = (15 - 0)/(150 - 0)
Evaluate the quotient
Burning rate per minute = 0.1
What is the slope of the graph?In (a), we have
Burning rate per minute = 0.1
This rate is the same as the slope
Hence, the slope is 0.1
Read more about slope at
https://brainly.com/question/16949303
#SPJ1
Pls Help, I will give 5 star and thanks, Plus Brain to correct answer, Plus extra points if correct!!
The table shows the relationship between the participants walking and running for the week's cross-country practices.
Walk (laps) 3 B 15
Run (laps) 5 10 D
Total (laps) A C 40
At this rate, how many laps will the participants walk if the total distance is 32 miles? How many miles will they run?
They will walk 7 laps and run 17 laps for a total of 32 miles.
They will walk 12 laps and run 20 laps for a total of 32 miles.
They will walk 14 laps and run 18 laps for a total of 32 miles.
They will walk 10 laps and run 22 laps for a total of 32 miles.
Using proportional relationships, we can say that They will walk 12 laps and run 20 laps for a total of 32 miles.
What is the direct proportional relationship?In a direct proportional relationship, the output variable is found by the multiplication of the input variable and the constant of proportionality k, as follows:
y = kx.
Given that we know this, they walk 3/8 of the 8 miles that make up the complete distance. Run 5/8 of the route.
The following are the proportional relationships for the distances:
Walked = 3/8 x Total Distance.Ran = 5/8 x Total Distance.For a total distance of 32 miles, the distances walked and run are given:
Walked: 3/8 x 32 = 3 x 4 = 12 miles = 12 laps.Ran: 5/8 x 32 = 5 x 4 = 20 miles = 20 laps.therefore, They will walk 12 laps and run 20 laps for a total of 32 miles as per the proportional relation.
Learn more about proportional relationships here: brainly.com/question/10424180
#SPJ1
Amy, Bodie, Claire, and Dejan are in the same math class. The locations of their desks in relation to each other are graphed on the coordinate plane below.
If the length of each square represents one foot, how far is it from Claire's desk to Dejan's desk?
A.
9 feet
B.
8 feet
C.
7 feet
D.
10 feet ?
Answer:10 ft
Step-by-step explanation:
How many blocks with dimensions of One-third times 1 times 1 can fit in a unit cube?
A block has a length of one-third, height of 1, and width of 1.
2
3
6
9
Given:
Dimensions of a block are [tex]\dfrac{1}{3}\times 1\times 1[/tex].
To find:
The number of block that can be fit in a unit cube.
Solution:
Volume of a cuboid is:
[tex]V=l\times b\times h[/tex]
Where, l is length, b is breadth or width and h is the height of the cuboid.
So, the volume of the given block is:
[tex]V_1=\dfrac{1}{3}\times 1\times 1[/tex]
[tex]V_1=\dfrac{1}{3}[/tex]
Dimensions of a unit cube are [tex]1\times 1\times 1[/tex]. So, the volume of the unit cube is:
[tex]V_2=1\times 1\times 1[/tex]
[tex]V_2=1[/tex]
We need to divide the volume of unit cube by the volume of a block to find the number of block that can be fit in a unit cube.
So, the number of blocks that fit in a unit cube is:
[tex]n=\dfrac{V_2}{V_1}[/tex]
[tex]n=\dfrac{1}{\dfrac{1}{3}}[/tex]
[tex]n=3[/tex]
Therefore, the correct option is B.
Answer:
the answer would be "b" 3 because its in 1/3 and the block is 1/3
What are the x-intercept and the y intercept of the graph of 6x - 3y = 36?
The x-intercept and the y intercept of the graph of 6x - 3y = 36 are x = 6 and y = -12
How to determine the x-intercept and the y intercept of the graph?
From the question, we have the following parameters that can be used in our computation:
6x - 3y = 36
Set y to 0 to determine the x-intercept
So, we have the following representation
6x = 36
Divide by 6
x = 6
Set x to 0 to determine the y-intercept
-3y = 36
Divide by -3
y = -12
hence, the intercepts are x = 6 and y = -12
Read more about intercepts at
https://brainly.com/question/27630604
#SPJ1
What are the 3 types of translation?
When the state of an object is changed from one to another it is known as translation in mathematics and they are of three types.
The three types of translation in math are
horizontal translationvertical translationcompression translationWhen the object moves either from left to right or from right to left it is known as vertical translation.
The movement in up or downward direction of the graph is known as horizontal translation.
The domain of the function remains same in both the cases.
A translation in which the size of the object decreases or is compressed is known as the compression translation.
To learn more about translation
brainly.com/question/1753326
#SPJ4
Lynne was making cookies and she
wanted to double the recipe. If the
recipe requires 2 3/4 cups of flour, how
much flour will Lynne need?
Answer:
11/2is the answer hope it helps
How do you write log2 in exponential form?
To change logarithmic form to exponential form, spot the logarithmic equation's base and move the base to another side to the equal sign. Moving the base will make the current number or variable into the exponent.
Do not move something but the base: the other numbers or value will not change sides, and the word "log" will be release.
Log Rules:
1. the first rule is logb(mn) = logb(m) + logb(n)
2. the second rule is logb(m/n) = logb(m) – logb(n)
3. the third rule is: log b (mn) = n · logb(m)
1. Multiplication can be turned outside the log into addition and vice versa can be turned.
2. Division can be spin outside the log into a subtraction, and vice versa.
3. An exponent can be proceeded as a multiplier outward on all within a log, and vice versa.
To know more about Exponential:
https://brainly.com/question/23133947
#SPJ4
Fill in the blank so that products unloaded and time are in a proportional relationship.
A conveyer belt unloads 48 products in 6 minutes. The same conveyor belt unloads
⬜ products in 1 minute.
Answer: 8 products in 1 minute
Step-by-step explanation:
6 min=48 products
48/6=8
1 min= 8 products
A school has 2000 students a survey finds that 36 students out of a random sample of 80 student's are bilingual the margin of error for the survey is +4% find the interval in which the total number of bih Guam students is most likely to lie
Answer:
(820 ; 980)
Step-by-step explanation:
Given :
Sample size, n = 80
Number of bilingual from sample = 36
Sample proportion, phat = x / n = 36 / 80 = 0.45
Margin of Error = 4% = 0.04
Interval = sample proportion ± margin of error
0.45 ± 0.04
(0.41 ; 0.49)
(0.41 * 2000 ; 0.49 * 2000)
(820 ; 980)
Y=-1/2X+6 in standard form
The standard form of linear function y = - (1 / 2) · x + 6 is (1 / 12) · x + (1 / 6) · y = 1.
How to find the definition of a linear function in standard form
In this question we find a linear function in slope-intercept form:
y = m · x + b
Where:
m - Slopeb - InterceptFrom which we must obtain the linear function in standard form:
a · x + b · y = c
Where:
a, b - Depedent coefficients.c - Independent coefficient.We can derive the standard form of the linear equation by algebra properties:
y = m · x + b
(1 / b) · y = (m / b) · x + 1
- (m / b) · x + (1 / b) · y = 1
If we know that m = - 1 / 2 and b = 6, then the equation of the line in standard form is:
- [(- 1 / 2) / 6] · x + (1 / 6) · y = 1
(1 / 12) · x + (1 / 6) · y = 1
To learn more on equations of line in standard form: https://brainly.com/question/12452575
#SPJ1
Question 18 of 40
5
Simplify (4-2)5
what is x and the measure of angle EHF
Answer:
x = 10, ∠ EHF = 110°
Step-by-step explanation:
7x and 11x are adjacent angles and sum to 180° , then
7x + 11x = 180
18x = 180 ( divide both sides by 18 )
x = 10
∠ EHF = 11x = 11(10) = 110°
Answer:
EHF = 110 deg
Step-by-step explanation:
From what it looks like 7x and 11x are being used as units of measurment. I can asssume a full circle adds up to 36x because 180deg adds up to 18deg.
If there were a number that was supposed to fill in for x it could be 0 because if the angles in this problem were 110 deg and 70 deg they would make 180 deg which is the straight line that the problem has.
Which of the following is the graph of y=-4 square root x
In the second graph, these points are located. As a result, the second graph is the function's correct graph.
what is function ?In mathematics, the term "linear function" refers to two different but related ideas. In calculus and related fields, a quadratic variable of grade 0 or 1 is a linear function if its graph is a direct line. A straight line on a reference system is a representation of a linear function. For instance, the linear function y = 3x - 2 is a straight line just on coordinate plane, hence it is a linear function. Since f(x) may be connected to y, the function can be represented by f(x) = 3x - 2.
given
The function provided is
This function is defined for any x values that are positive, including 0.
The radical expression x has a constant positive value. Given that is a function, it is always negative.
At x=0, = 0
At x=1, = -4
At x=4, = -8
This indicates that the graph of the specified function traveling through the points (0,0), (1,-4) and (4,-8).
In the second graph, these points are located. As a result, the second graph is the function's correct graph.
To know more about linear function visit:
https://brainly.com/question/29205018
#SPJ1
(Please help)
I don't know what to do!
Compare the ratios 9 to 12 and 4 to 6. One model has 12 sections. The second model has 6 sections. Which statement correctly compares the ratios? The ratio 9 to 12 is greater than 4 to 6. The ratio 9 to 12 is less than 4 to 6. The ratio 9 to 12 is equal to 4 to 6. The ratios cannot be compared.
Answer:
The ratio 9 to 12 is greater than 4 to 6.
9/12 = 3/4.
4/6 = 2/3.
3/4 is more.
Kindly answer this one. Thank you.
Answer:
See below.
Step-by-step explanation:
I'm assuming these questions are about the Midline Theorem (segment AL joins the midpoints of the non-parallel sides.
♦ The midline's length is the average of the lengths of the top and bottom parallel sides.
[tex]AL=\frac{OR+CE}{2}[/tex]
Use this equation and substitute values given in each problem, then solve for the missing information.
1. AL = x, CE = 9, OR = 5
[tex]x=\frac{9+5}{2}=7[/tex]
2. AL = m - 4, CE = 15, OR = 17
[tex]m-4=\frac{15+17}{2}=16\\\\m-4=16\\\\\\m=20\\\\AL=20-4=16[/tex]
3. OR = y + 5, AL = 15, CE = 18
[tex]15=\frac{(y+5)+18}{2}\\\\15=\frac{y+23}{2}\\\\30=y+23\\\\7=y\\\\OR = 7+5=12[/tex]
What is the slope of a line that is parallel to the line with the following equation?
y=-2/3x+2
2/3
-4/3
4/3
-2/3
Answer:
D)
Step-by-step explanation:
we know that,
Parallel lines have the same slope
given equation is in the form given by
[tex] \displaystyle y = mx + b[/tex]
where m is know
as [tex]m_{parallel}=m[/tex], the answer is -⅔
Irrelevant answers will be reported. DUE TODAY!!!
Answer:
C. Ferris wheel
Step-by-step explanation:
Circumference = pi x diameter
Take each of the entries from the diameter column and multiply by 3.14. They are all correct except for the Ferris wheel.
70.5 x 3.14 = 221.37
Samir, a carpenter, spent $300 on specialty tools to make toy horses for children. For each horse he makes, he spends $75 on supplies. He charges $125 for each horse. How many horses must Samir sell in order to break even?
2
3
4
6
Answer:
Step-by-step explanation:
The number of horses that Samir must sell in order to break even is 6 horses.
Calculations and Parameters:
Given:
Fixed cost = $300
Variable cost = $75 on each supply
Revenue = $125 on each horse.
To find breakeven, we must remember that the revenue and cost are equal.
Therefore, we create a function and use this to solve:
125x= 300 + 75x
125x-75x = 300
50x = 300
x= 6
Read more about breakeven here:
brainly.com/question/24150813
#SPJ9The number of horses that Samir must sell in order to break even is 6 horses.
Calculations and Parameters:
Given:
Fixed cost = $300
Variable cost = $75 on each supply
Revenue = $125 on each horse.
To find breakeven, we must remember that the revenue and cost are equal.
Therefore, we create a function and use this to solve:
125x= 300 + 75x
125x-75x = 300
50x = 300
x= 6
Read more about breakeven here:
brainly.com/question/24150813
#SPJ9
Luciana is adding water to a pool at a constant rate. Before she added any water the pool had 12. 000 gallons of water Luciana is adding 9 gallons of water each minuto Which equation roprosents the total number of gallons of water in the pool, w, after Luciana adds water for m number of minutes? A m = Dw+ 12,000 B W = m + 12. 000 С W = 12,000m + 9 D W = 12. 000 - 9m
The equation that represents the total number of gallons of water in the pool, w, after Luciana adds water for m number of minutes is W = 12,000 + 9m.
What is a linear equation?
A linear equation is an equation that can be written in the form of
y = mx + b
Where x and y are variables and m and b are constants. This is also known as the slope-intercept form of a linear equation. The slope of the line (m) represents the steepness of the line and the y-intercept (b) represents the point where the line crosses the y-axis.
Luciana is adding water to the pool at a constant rate of 9 gallons per minute. So, for every minute that passes, the number of gallons in the pool increases by 9. This relationship can be represented by the equation W = 12,000 + 9m, where W is the total number of gallons in the pool and m is the number of minutes that have passed.
Hence, the equation that represents the total number of gallons of water in the pool, w, after Luciana adds water for m number of minutes is W = 12,000 + 9m.
To learn more about the linear equation, visit:
https://brainly.com/question/12788590
#SPJ4
The equation that represents the total number of gallons of water in the pool, w, after Luciana adds water for m number of minutes is W = 12,000 + 9m.
Option (D) is correct.
What is a linear equation?
A linear equation is an equation that can be written in the form of
y = mx + b
Where x and y are variables and m and b are constants. This is also known as the slope-intercept form of a linear equation. The slope of the line (m) represents the steepness of the line and the y-intercept (b) represents the point where the line crosses the y-axis.
Luciana is adding water to the pool at a constant rate of 9 gallons per minute. So, for every minute that passes, the number of gallons in the pool increases by 9. This relationship can be represented by the equation W = 12,000 + 9m, where W is the total number of gallons in the pool and m is the number of minutes that have passed.
Hence, the equation that represents the total number of gallons of water in the pool, w, after Luciana adds water for m number of minutes is W = 12,000 + 9m.
To learn more about the linear equation, visit:
brainly.com/question/12788590
#SPJ4
PLEASE HELP I’LL GIVE BRAINLIST!!!!!!!!
An object in free fall is dropping using only the force of gravity. Let's assume that is the case with the Drop of Doom for a moment just for the sake of our calculations.
When using feet to measure the distance traveled over time, we can approximate the force of gravity as -16ft/sec^2. That means every second, the speed of the ride is increasing at a rate of 16 ft/sec down towards the ground (hence the negative sign).
Zumanjaro is said to be a 415-foot drop. We can represent this fall using the function: h(t)= -16t^2+415, where h is the height above the ground (or in this case the height above the stopping point of the ride) in feet and t is the time in seconds.
Using this function, how long does the ride take to complete its 415 drop?
Factor Completely
-3p^7+3p^3
Answer:
3p^3 (-p^4 + 1)
Step-by-step explanation:
The common factor of both -3p^7 and 3p^3 is 3p^3
Divide -3p^7 by 3p^3 and get -p^4
Divide 3p^3 by 3p^3 and get 1
So the factorisation is 3p^3 (-p^4 + 1)
What can you multiply to the first equation to eliminate the y's?
4x + y = 12
- 2x + 3y = 10
Answer:
I think this is how....
Step-by-step explanation:
4x + y = 12
4x + y -y = 12 - y
4x = 12
*divide by 4 on each side*
x = 3
Anthony throws a ball from a point of 40m above the ground. The height of the ball h, in meters, after t seconds is represented by the function h(t) = -5t2 + 40t.
What was the maximum height
of the football?
How many seconds did it take
for the football to hit the ground?
Answer:
maximum height is 80 feet
8 seconds until it hits ground
Step-by-step explanation:
-5t(t - 8) = 0
-5t= 0; t = 0 (this represents the beginning of the throw)
t-8=0; t = 8 (this represents the end of the throw)
To find maximum height, find the vertex of the graph,
you can use -b/2a to find 't' and then substitute that value back into the function to find h(t)
x = -40÷2(-5)
x = -40/-10
x = 4
h(4) = -5(4²)+40(4)
h(4) = -5(16) + 160 which is 160 - 80 = 80
The trait for a dimples (D) is dominant over the trait for no dimples (d). Two people with dimples (Dd x Dd)
got married. Complete the diagram below to show the genes of their children. What percentage of the
offspring will most likely have no dimples?
0%
25%
50%
75%
Answer:
25%
Step-by-step explanation:
Here is my punnett square:
D d <---parent 1
D DD Dd
d Dd dd
^
|
| parent 2
The results: DD, Dd, Dd, dd
DD, Dd: will have dimples because they have a dominant allele in their genotype. So in their phenotype, they will have dimples.
dd: will not have dimples because they do not have the dominant allele for dimples in their genotype. So in their phenotype, they will NOT have dimples.
3 cases (25% chance for DD, 50% chance for Dd, 25% chance for dd)
1/4 is DD is 25%
2/4 is Dd is 50%
and 1/4 is dd is 25%
answer: 25%
Have a nice day!
The graph shows Miguel's savings over time. What is the slope of the line?
Answer:
3/4 x
Step-by-step explanation:
The rise is 3 and the run is 4, making the slope 3/4 x
A researcher is following the growth of a particular type of flower. She writes the given equation to show the height of the flower g(n), in inches, after n days. When the researcher finished his study, the height of the flower was about 11.04 inches. What is a reasonable domain to plot the growth function
After solving, the possible domain in interval notation is (0, 7).
In the given question, a researcher is following the growth of a particular type of flower.
The equation to show the height of the plant f(n), in cm, after days (n) = 8(1.05)^n
According to the given information,
The height of the plant is modeled by the function= f(n)
The height of the plant is approximately 11.04cm when the number of days = 7
The days are started from n > 0 and n<=7
Hence the possible domain in interval notation = (0, 7)
To learn ore about domain and growth function link is here
brainly.com/question/29209185
#SPJ4
The complete question is:
A scientist is studying the growth of a particular species of plant. He writes the following equation to show the height of the plant f(n), in cm, after days (n) = 8(1.05)^n
Part A: When the scientist concluded his study, the height of the plant was approximately 11.26 cm What is a reasonable domain toplot the growth function?
Part B: What does the y-intercept of the graph of the function () represent?
Part C: What is the average rate of change of the function f(n) from n = 2 ton, and what does it represent?