Answer:
the unit cost per item
Step-by-step explanation:
The description of the graph tells you what the slope means. The slope is the (change in) y-value (cost) per (change in) x-value (item), thus is cost per item.
The slope of the line from the origin to a point is the average cost for that number of items. The slope of a tangent line at a point on the curve is the marginal cost for that number of items.
When the curve is linear and goes through the origin, the slope is the same everywhere and is the cost per item. (It is also the average cost and the marginal cost, where that is of interest.)
The slope of the graph, which represents the rate of change between the number of identical items purchased and the total cost, means the unit cost per item.
Explanation:In the given context of a graph where the x-axis represents the number of identical items purchased and the y-axis represents the total cost in dollars, the slope of the graph represents the unit cost per item. This is because the slope of a line is a measure that describes the rate of change between the independent and dependent variables. It tells us how the dependent variable (in this case, total cost, represented by 'y') changes for every one-unit increase in the independent variable (in this case, number of items purchased, represented by 'x'), on average.
Therefore, when you buy more items (increase in 'x'), the total cost ('y') increases. Hence, the rate at which 'y' is increasing per unit 'x' is actually the cost per item. This concept is fundamental in understanding how variations in quantity purchased impact the total cost, applicable in contexts from shopping to major business transactions.
Learn more about Graph Interpretation here:https://brainly.com/question/28418462
#SPJ6
Order from least to greatest 0.044 0.445 0.004 0.040
A) 0.004 0.040 0.044 0.445
B) 0.040 0.004 0.044 0.445
C) 0.040 0.004 0.044 0.445
D) 0.445 0.044 0.040 0.004
A is th3e correct answer... ten hundreths thousandths
HELP PLEASE!
Carmen is designing an intersection of the rail line and four streets. She wants to know which streets are parallel
Which streets are parallel? Check all that apply.
c || d
c || e
c || f
d || e
d || f
e || f
CHECK ALL THAT APPLY ITS NOT ONE ANSWER
Answer:
d║e, c║f
Step-by-step explanation:
The acute angle of intersection of e with t is ...
180° - 112° = 68°
This angle is the same as the acute angle at d, so d and e are parallel.
The acute angle of intersection of c with t is ...
180° -114° = 66°
This angle is the same as the acute angle at f, so c and f are parallel.
d║e, c║f
_____
Note that the acute angles at the intersections with t are all "corresponding". That is why their congruence means the associated lines are parallel.
Answer:
Option C. and D. are correct
Step-by-step explanation:
c//f
d//e
good luck:)
The U.S. Maritime Administration estimated that the cost per ton of building an oil tanker could be represented by the model y=104,000/x+235 where y is the cost in dollars per ton and x is the tons (in thousands). What size of oil tanker (in thousands of tons) can be built for $350 per ton? a. 62 thousand tons b. 6 thousand tons c. 532 thousand tons d. 178 thousand tons
(c)
substitute x = 350 into the equation for y
y = [tex]\frac{104000}{350}[/tex] + 235 ≈ 532 000
Final answer:
To find the size of the oil tanker that can be built for $350 per ton, solve the equation 350 = 104,000/x + 235 for x, yielding approximately 904 thousand tons. None of the multiple-choice options match this result.
Explanation:
The student is asked to calculate the size of an oil tanker that can be built for $350 per ton using the given model for cost per ton, which is y = 104,000/x + 235, where y is the cost in dollars per ton, and x is the tons in thousands. To find x, set the equation equal to 350 and solve for x.
350 = 104,000/x + 235
Subtract 235 from both sides to get:
350 - 235 = 104,000/x
115 = 104,000/x
To solve for x, multiply both sides by x and then divide both sides by 115:
x = 104,000 / 115
x ≈ 904.35
Since x is in thousands of tons, the size of the oil tanker that can be built for $350 per ton is approximately 904 thousand tons. However, this answer does not match any of the options provided in the multiple choice (a. 62 thousand tons, b. 6 thousand tons, c. 532 thousand tons, d. 178 thousand tons), suggesting there might be an error in the question or the offered choices.
Can someone pls help me with this?
The naming of similar triangles has corresponding vertices in the same order in the name. That means segment QS corresponds to segment AC. We note that QS = 6 cm is 1/10 the length of AC = 60 cm.
Side AB is given as 50 cm, so the corresponding side QR will be 1/10 that value.
... QR = 5 cm
How do I solve this?
x = 6
given
[tex]\frac{x+2}{x-2}[/tex] = [tex]\frac{4}{8}[/tex]
cross- multiply to obtain
8(x + 2) = 4(x - 2) ( distribute parenthesis on both sides )
8x + 16 = 4x - 8 ( subtract 4x from both sides )
4x + 16 = - 8 ( subtract 16 from both sides )
4x = - 24 ( divide both sides by 4 )
x = [tex]\frac{-24}{4}[/tex] = - 6
Hello there!
Answer: ⇒ x=-6
_________________________________________________________
Step-by-step explanation:
Apply fraction cross multiply.
[tex](x+2)*8=(x-2)*4[/tex]
Expand.
[tex]8x+16=4x-8[/tex]
Subtract by 16 from both sides of equation.
[tex]8x+16-16=4x-8-16[/tex]
Simplify.
[tex]8x=4x-24[/tex]
Subtract by 4x from both sides of equation.
[tex]8x-4x=4x-24-4x[/tex]
Simplify.
[tex]4x=-24[/tex]
Divide by 4 from both sides of equation.
[tex]\frac{4x}{4}=\frac{-24}{4}[/tex]
Simplify it should be correct answer.
[tex]x=-6[/tex]
__________________________________________________________________
Hope this helps!
Thank you for posting your question at here on brainly.
Have a great day!
-Charlie
_________________________________________________________________
What is the value of x? Enter your answer in the box.
the value of x is 12
Scientific skills exercise: interpreting a scatter plot with two sets of data which variable is the independent variable--the variable that was controlled by the researchers? Is the independent variable on the x-axis or the y-axis?
In a scatter plot with two sets of data, the independent variable is the variable that was controlled by the researchers and is represented on the x-axis.
Explanation:In a scatter plot with two sets of data, the independent variable is the variable that was controlled by the researchers. The independent variable is typically represented on the x-axis of a scatter plot. It is the variable that is manipulated or changed to observe its effect on the dependent variable, which is plotted on the y-axis.
Learn more about Interpreting scatter plots here:https://brainly.com/question/31353612
#SPJ3
The number of caps a new online store sells increases by a factor of 4 each month. The function f(x) = 4x represents the number of caps sold in month x. When does the store sell 64 caps?
... f(x) = 4^x
Find... x for f(x) = 64
SolutionRewrite 64 as a power of 4, then equate exponents.
... 64 = 4^x
... 4^3 = 4^x
... 3 = x
The store sells 64 caps in month 3.
A high ascent weather balloon is in the shape of cone pointing downwards. The cone has a height of h and a hemispherical top of a radius r. The surface area of the weather balloon is , and the volume is , where . For a weather balloon with a volume of 14000 , the surface area as a function of m is shown below.
Answer:
Matlab capacity to ascertain the surface territory of an inflatable
work surfaceArea = surfaceBalloon(Volume,M)
Step-by-step explanation:
% Matlab capacity to ascertain the surface territory of an inflatable
work surfaceArea = surfaceBalloon(Volume,M)
% compute R
cubeOfR = 3 * Volume * ones(1,length(M));
cubeOfR = cubeOfR ./(pi * (M+2));
R = power(cubeOfR,1/3);
% compute surface zone
power1 = power(M,2);
power1 = 1+ power1;
power1 = power(power1,1/2);
power1 = 2 + power1;
surfaceArea = pi .* power(R,2) .* power1;
end
% End of capacity
% Matlab content to utilize work surfaceBalloon to locate the surface zone of
% expand
clc;
V = 14000;
M = (0:10);
surfaceArea = surfaceBalloon(V,M);
plot(M,surfaceArea);
xlabel('M');
ylabel('Surface Area m^2');
ylim([2900 5000]);
title('M v/s Surface Area of an inflatable');
saveas(gcf,'surfaceAreaPlot','png'); % spare the chart
% end of primary content
Answer:
radius = ((3*Volume) ./ ((2+M).*pi)).^(1/3);
surfaceArea = pi .* radius.^2 .* (2+sqrt(1+M.^2));
Step-by-step explanation:
The OP didn't include this part, but the original problem has the equations written for you in the header. Here they are again:
A = [tex]\pi R^{2}[/tex](2 + [tex]\sqrt{1+M^{2} }[/tex])
V = [tex]\pi R^{3} (2+M)/3[/tex] where M = H/R
The problem is asking for the surface area of the balloon, but the only values that the user inputs are volume and M. We need to solve for the radius before we can complete the code. So, we can solve for R in one equation and plug it into the second equation.
Let's adapt the given equation V = [tex]\pi R^{3} (2+M)/3[/tex] and solve for R to get the equation for the radius.
V = [tex]\pi R^{3} (2+M)/3[/tex]
3*V = [tex]\pi R^{3} (2+M)[/tex]
[tex]\frac{3*V}{\pi (2+M)} = R^{3}[/tex]
R = [tex](\frac{3*V}{\pi (2+M)})^{1/3}[/tex]
Now, let's convert the equation for R to MATLAB code. Because we are using arrays, each operational symbol must be preceded by a "." unless it is a + or -.
R = [tex](\frac{3*V}{\pi (2+M)})^{1/3}[/tex]
radius = ((3*Volume) ./ ((2+M).*pi)).^(1/3);
Okay, so the hard part is done. The second line of code is easy: all you have to do is transform the given equation for surface area into MATLAB code while using the variable we named "radius" in the last step. Again, because we are performing operations with arrays, use "." in front of all operational symbols (except + and -).
A = [tex]\pi R^{2}[/tex](2 + [tex]\sqrt{1+M^{2} }[/tex])
surfaceArea = pi .* radius.^2 .* (2+sqrt(1+M.^2));
Putting it all together, your answer should be
radius = ((3*Volume) ./ ((2+M).*pi)).^(1/3);
surfaceArea = pi .* radius.^2 .* (2+sqrt(1+M.^2));
To construct a square, Dominic uses his straightedge to draw AB⎯⎯⎯⎯⎯ . He opens the compass to the length of AB⎯⎯⎯⎯⎯ and draws a circle centered at point A, and then, without changing the compass opening, draws a circle centered at point B. He marks the intersections of the circles as points C and D. What should Dominic do next? Change the compass opening to the length of CA⎯⎯⎯⎯⎯ and draw a circle centered at point C and then at point D. Change the compass opening to the length of CD⎯⎯⎯⎯⎯⎯ and draw a circle centered at point C. Use a straightedge to join points C and A, C and B, D and A, and D and B. Use a straightedge to join points C and D with a line.
Points C and D are equidistant from points A and B, so Dominic's square could be ACBD. To draw that square, his next move should be ...
... Use a straightedge to join points C and A, C and B, D and A, and D and B
Jeff and Jemaine go to an indoor ice skating ring. Jeff has to rent skates at $3.50 a pair while Jermaine has brought her own skates. Every hour of skating costs two dollars per person. Jeff can spend at most $10 while Jermaine can spend most $9. If they combine their money, how many hours could they skate together? Show work
Find the value of the expression 2x^4–5x^3+x^2+3x+2 for x=−5
Write a two point slope equations for the line passing through the points 6,5 and 3,1
The 2-point form of the equation of a line can be written as ...
... y = (y2-y1)/(x2-x1)·(x -x1) +y1
For your points, this is ...
... y = (1-5)/(3-6)·(x -6) +5
... y = (4/3)(x -6) +5
It can also be written as
... y -5 = (4/3)(x -6)
Answer: The required equation is y= 4x/3 - 3
Step-by-step explanation:
Given points (6,5) and (3,1)
Two point slope equation is given as
[tex]y - y1 = \frac{y2-y1}{x2-x1}(x-x1)[/tex]
where (x1, y1) and (x2,y2) are the points respectively
∴ [tex]y-5 =\frac{1-5}{3-6}(x-6)[/tex]
[tex]y-5 =\frac{-4}{-3} (x- 6)[/tex]
[tex]y -5 =\frac{4}{3} (x-6)[/tex]
[tex]y - 5 =\frac{4}{3}x - 8[/tex]
[tex]y = 5 +\frac{4}{3} x - 8[/tex]
[tex]y = \frac{4}{3}x -3[/tex]
It can also be written as
[tex]y -5 =\frac{4}{3}(x -6)[/tex]
Mo says that 0.23567 is not a rational number. Which of these explains why Mo is incorrect?
Mo Says that, 0.23567 is not a Rational Number.
Mo is Incorrect.
⇒She is Incorrect, because Decimal expansion of rational number is either terminating or Non terminating Repeating decimal.
As , 0.23567 is terminating decimal .So, it is a Rational Number.
express the area of a rectangle with length 7ab and width 2a as a monomial area = _____
The area is the product of the length and width.
... Area = (7ab)×(2a) = (7×2)×(a×a)×(b)
... Area = 14a²b
Solve for x: 3x − 24 = 81
57/3
105/3
57
105
To solve for x, we need to get all our constants on one side of the equal sign and all our variables on the other side of the equal sign.
3x - 24 = 81
3x -24 + 24 = 81 +24
3x = 81 + 24
3x = 105
3x/3 = 105 / 3
x = 105 / 3
Answer:
[tex]x=\frac{105}{3}[/tex]
Step-by-step explanation:
To solve for x, we need to get all our constants on one side of the equal sign and all our variables on the other side of the equal sign.
[tex]3x-24=81[/tex]
[tex]3x-24+24=81+24[/tex]
[tex]3x=81+24[/tex]
[tex]3x=105[/tex]
[tex]\frac{3x}{3}=\frac{105}{3}[/tex]
Therefore, the answer is: [tex]x=\frac{105}{3}[/tex]
Show how you could set up and find the exact value of cos(5π/4) in two different ways.
note that 5π /4 is in the third quadrant where the cos is negative
the related acute angle to 5π /4 is π/4, thus
cos( 5π /4 ) = - cos (π/4 ) = - √2/2
We can also evaluate using the addition formula for cosine
• cos (x + y ) = cosxcosy - sinxsiny
note that 5π /4 = (π + π/4 )
cos(5π /4 ) = cos (π + π/4 )
= cos(π)cos(π/4) - sin(π)sin(π/4)
= - 1 √2/2 - 0 = - √2/2
Answer this fast 50 POINTS
the answer would be 103 students
rounded 3,428,583 rounded to the nearest 10,000
3,400,000 because the 2 is the in the 10,000
Please help! question attached
The expression predicts profit. When the expression is zero, the profit is zero.
The expression uses unit price as the indpendent variable. Then the zeros correspond to values of unit price that make profit = 0.
Your selection is correct.
Beth has 7/100 of a dollar. What is the amount of money Beth has?
Hey there!
Beth has seven cents or $0.07
Hope this helps!
Always remember you are a Work Of Art!
-Nicole :) <3
There are 100 penny's in a dollar. So 7/100 would mean the 7 is represented by penny's, therefor beth has 7 cents.
-Steel jelly
someone anyone help me???!!!!
Try this option (note, this is not the shortest way!), the additional elements are shown by green colour.
Answers: ∠1=∠2=50°; ∠3=82°
Mila reads at a rate of 2 paragraphs per minute. After reading for 3 minutes, she had read a total of 6 paragraphs. This situation can be represented with a linear equation written in point-slope form, where x represents the number of minutes and y represents the number of paragraphs. Use this information to complete each statement about the linear equation.
Mila reads at a rate of 2 paragraphs per minute. After reading for 3 minutes, she had read a total of 6 paragraphs.
This situation can be represented with a linear equation written in point-slope form,
Let 'x' represents the number of minutes and,
y represents the number of paragraphs.
In one minute Mila reads 2 paragraphs .
So, y=2x
Let x=1 then y=2
x=2 then y =4
Here slope of equation is 2
Let( x1, y1) and (x2,y2) be the two point the equation y=2x the ,
we can write, (y2 - y1) = m(x2 - x1)
or (y2 - y1) = 2(x2 - x1)
Answer:
(3,6)
Step-by-step explanation:
Given that Mila reads at a rate of 2 paragraphs per minute. After reading for 3 minutes, she had read a total of 6 paragraphs.
This situation can be represented with a linear equation written in slope-intercept form, as
[tex]y=2x[/tex]
where 'x' represents the number of minutes and,
y represents the number of paragraphs.
Since y intercept is 0 i.e. 0 paras in 0 minutes we have the equation as
[tex]y=2x[/tex]
Since no of minutes or paragraphs cannot take negative values this line is defined only in the I quadrant where both x and y are positive
Out of the points given as follows:
(3,6) (2,3) (-3,6) or (-2,6) ,
we can remove last two since they have negative x which is impossible.
Consider (3,6) (2,3)
Out of these only I point (3,6) satisfies [tex]y=2x[/tex] and second point (2,3) does not satisfy
[tex]y=2x[/tex]
Hence answer is (3,6)
Anyone have the answer to this? Need help ASAP?
For this case we have the following data:
Polynomial function of grade 5
Given roots: -2, 2,[tex]4 + i[/tex]
Having an imaginary root given by [tex]a + bi[/tex], the other root, in the same imaginary way, must be given by its complex conjugate, that is, [tex]a-bi[/tex].
In this way, the fourth root is given by:
[tex]4-i[/tex]
Since the polynomial function is grade 5, it must have 5 roots. Thus, the fifth root must be given by a real number.
Thus, the roots of the polynomial function are given by: three real roots and two imaginary roots.
Answer:
Option D
f(x) has 3 real roots x = -2, x = 2 and x = 4
complex roots occur in conjugate pairs
x = i is a root then x = - i is a root
there are therefore 2 imaginary roots
f(x) has 3 real roots and 2 imaginary roots
WILL NARK BRAINLIEST PLEASE HELP ASAP !!!!
What is the equation of this line in slope-intercept form? Enter your answer in the boxes.
y=4/3x+4
are you in k12 i tookthat test already
y = [tex]\frac{4}{3}[/tex] x + 4
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
to calculate m use the gradient formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, 4 ) and (x₂, y₂ ) = (-3, 0 ) ← 2 points on line
m = [tex]\frac{x0-4}{-3-0}[/tex] = [tex]\frac{-4}{-3}[/tex] = [tex]\frac{4}{3}[/tex]
the line crosses the y-axis at (0, 4 ) → c = 4
y = [tex]\frac{4}{3}[/tex] x + 4 ← in slope-intercept form
If f(x) = 5x - 2 and g(x) = 2x + 1, find (f - g)(x)
(5x - 2 - g(x))(x)
(5x - 2 -(2x + 1)
(5x - 2 - (2x + 1) : 3x - 3
= 3x - 3
A gold mine has two elevators, one for equipment and another for the miners. The equipment elevator descends 4 feet per second. The elevator for the miners descends 15 feet per second. One day, the equipment elevator begins to descend. After 30 seconds, the elevator for the miners begins to descend. What is the position of each elevator relative to the surface after another 14 seconds? At that time, which elevator is deeper?
The equipment elevator descends to 176 feet below the surface while the miners' elevator descends to 210 feet below the surface after 14 seconds. Therefore, the miners' elevator is deeper.
Explanation:To solve this, we first need to determine the position relative to the surface of both elevators in the gold mine. As the equipment elevator begins to descend first and moves at a speed of 4 feet per second, it had already traveled 30 (seconds) * 4 (feet per second) = 120 feet downward before the miners' elevator begins to descend.
Then, an additional 14 seconds pass. In these 14 seconds, the equipment elevator will descend a further 14 * 4 = 56 feet. Therefore, the equipment elevator is 120 + 56 = 176 feet below the surface.
The miners' elevator descends at 15 feet per second, and it has been moving for 14 seconds. Therefore, it is 15 * 14 = 210 feet below the surface. At this point in time, the miners' elevator is deeper than the equipment elevator by 210 - 176 = 34 feet.
Learn more about Problem Solving here:https://brainly.com/question/31606357
#SPJ3
The equipment elevator will be at a depth of 176 feet, while the miners' elevator will be deeper at a depth of 210 feet from the surface after the given time. The miners' elevator is deeper.
Explanation:The position of each elevator relative to the surface after another 14 seconds can be found by first determining the distance each has traveled. The equipment elevator descends at 4 feet per second, and it had already been descending for 30 seconds before the miners' elevator started. Therefore, by the time the miners' elevator begins to descend, the equipment elevator will have descended 4 feet/second * 30 seconds = 120 feet.
From that point, after another 14 seconds, the equipment elevator descends an additional 4 feet/second * 14 seconds = 56 feet. Thus, its total descent is 120 feet + 56 feet = 176 feet from the surface.
On the other hand, once the miners' elevator starts, it descends at a rate of 15 feet per second. After 14 seconds, the miners' elevator will have descended 15 feet/second * 14 seconds = 210 feet.
Comparing both distances, the elevator for the miners is at 210 feet while the equipment elevator is at 176 feet from the surface. So, the miners' elevator is deeper.
Learn more about Elevator Descent Problem here:https://brainly.com/question/2140136
#SPJ3
James has t toy cars and Paul has 13 more. How many cars will James have if Paul gives him half of his cars?
James will end up with his original t cars and half of (t+13) cars, so will have ...
... t + (t+13/2) = (3t +13)/2 . . . . cars James has after Paul's gift
To find out how many cars James will have after Paul gives him half of his cars, we need to determine the numbers of cars James and Paul have. We then calculate half of Paul's cars and add that to James' original number of cars.
Explanation:To find out how many cars James will have after Paul gives him half of his cars, we need to first determine how many cars Paul has in total.
We know that Paul has 13 more cars than James, so we can set up an equation:
Paul's cars = James' cars + 13. Next, we need to find out how many cars Paul will give to James, which is half of Paul's cars.
We can set up another equation: cars Paul gives to James = Paul's cars ÷ 2.
Finally, to find out how many cars James will have after Paul gives him half of his cars, we simply add the number of cars Paul gives to James to James' original number of cars.
Let's say James has 5 toy cars. Paul has 13 more, so Paul has 5 + 13 = 18 toy cars.
Half of Paul's cars is 18 ÷ 2 = 9 toy cars. James will have 5 + 9 = 14 toy cars after Paul gives him half of his cars.
What is the sum of all of the odd numbers from 1 to 59?
841
900
3,481
3,600
Ruben said that 96.52 ÷ 12.7 equals 7.6.
Is Ruben's answer reasonable?
A.
No, Ruben's answer should be closer to 0.8.
B.
No, Ruben's answer should be closer to 80.
C.
No, Ruben's answer should be closer to 800.
D.
Yes, Ruben's answer is reasonable.
By rounding to the nearest whole numbers and estimating, it is confirmed that Ruben's answer of 96.52 ÷ 12.7 equals 7.6 is indeed reasonable.
Explanation:To assess if Ruben's answer that 96.52 ÷ 12.7 equals 7.6 is reasonable, let's consider the magnitude of the numbers involved. Firstly, we can simplify our estimation by rounding the numbers to the nearest whole digits, which gives us approximately 97 ÷ 13. By using division, we see that 13 goes into 97 about 7 times with some remainder, since 13 x 7 is 91, which is close to 97.
Now, 7.6 is indeed close to our estimation, so we can determine that Ruben's answer is within a reasonable range. Thus, the correct response to whether Ruben's calculation is reasonable would be:
D. Yes, Ruben's answer is reasonable.