Answer: Cost is minimized at the levels of capital and labor such that the marginal product of labor divided by the wage (w) is equal to the marginal product of capital divided by the rental price of capital (r)
Step-by-step explanation:
Solve the following inequality.
3x> -3
Answer:
x>-1
Step-by-step explanation:
divide 3 on both sides
What is the volume of the figure?
Answer:
52
Step-by-step explanation:
Answer:
52 cubic units
Step-by-step explanation:
so first, you would do the top rectangle
2 x 4 = 8
then the one below
4 x 2 = 8
times the hight now
8 x 3 = 24
now the bottom
4 x 5 = 20
add them all up
8 + 24 + 20 =
32 + 20 =
52
Select ALL the true statements about the scatter plot below.
A. The graph shows a linear association
B. The graph has no outliers
C. The graph shows a nonlinear association
D. The graph shows a positive association
E. The graph could be used to show an association between the hours worked and the amount earned
The true statements about the scatter plots are
(a) the graph shows a linear association(d) the graph shows a positive association(e) The graph could be used to show an association between the hours worked and the amount earnedHow to determine the true statement about the scatter plot?From the graph of the scatter plot, we have the following highlights:
The points appear to be on a straight line; this represents a linear associationOne point is relatively far from other points on the plot; this means the graph has an outlierAs the points on the x-axis increases, the points on the y-axis increases; this means a positive associationThe above highlights mean that (a), and (d) are true
Since the graph is a linear association, then it can be used to model hourly rates
This means that (e) is true
Hence, the true statements about the scatter plots are (a), (d) and (e)
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A furniture shop produces two types of custom made chairs. If the price of one type of chair is three times the price of the other, and the total price for both is $15365, what is the price of other chair?
Answer:
The price of other chair is $3841.25
Step-by-step explanation:
Step 1: Write equations.
First equation: The price of one type of chair is three times the price of the other.
Let x be the price of one type of chair and y the price of the other type of chair.
[tex]x = 3y[/tex]
Second equation: The total price for both is $15365
[tex]x + y = 15365[/tex]
Step 2: Solve the system of equations.
1) [tex]x = 3y[/tex]
2) [tex]x + y = 15365[/tex]
Substitute x in the second equation with x from first.
[tex]x + y = 15365\\(3y) + y = 15365[/tex]
Now solve for y (y is the price of the other chair).
[tex]4y = 15365\\y = \frac{15365}{4}\\y = \$3841.25[/tex]
Can anyone help with math models?? Please…?
Answer:
12*1/4= 3
30 is C
16*3/4 = 12
31 is B
Answer:
30: C
31: B
Step-by-step explanation:
30: If the width of the vegetable garden is 1/4 of it's length, we have to divide the length of the garden (12 feet) by 4 and we get 3 feet.
31: We just need to multiply 16 by 3/4 and we get 12.
the price of a cup of coffee has dropped to $2.20 today. Yesterday's price was $2.35. Find the percentage decrease. Round your answer to the nearest tenth of a perdent.
Answer:
6.4%
Step-by-step explanation:
percentage decrease= decrease/actually amount×100
2.35-2.20/2.35×100
0.15/2.35×100
0.06383×100=6.4%
Percentage decrease=6.4%
A cylinder has a base area of 100cm and volume of 1500 cm what’s the height
Answer:
we know,
Volume of cylinder = Base area × height
1500= 100×h
so, Height h = 15 cm
What should NOT be included in your summary of the non-fiction text you are analyzing?
A. Every small detail listed.
B. Who the audience is
C. What the tone of the text is.
D. Main ideas.
Answer:
A. Every small detail listed.
Step-by-step explanation:
This is incorrect because a summary is short. Listing every small detail would make your summary too long.
hope this helps
have a good day
Use natural logarithms to solve the equation. Round to the nearest thousandth.
7e2x + 10 = 29
Answer:
[tex]x=\frac{ln(\frac{19}{7}) }{2}[/tex]
Step-by-step explanation:
7*e^2x + 10 = 29
Subtract 10 to both side.
7*e^2x = 19
Divide 7 to both side.
e^2x = 19/7
Inverse e with ln.
ln(19/7) = 2x
Divide 2 to both side.
[tex]x=\frac{ln(\frac{19}{7}) }{2}[/tex]
FIND THE EXACT AREA OF THE SHADED PLEASE HELP ILL GIVE BRAINLIESTTTT
Check the picture below.
so we have a rectangle with two circles, the rectangle is a 21x10.5 and the circle's have a radius of 5.25, so let's get the area of the two circles and subtract it from the whole area of the containing rectangle.
[tex]\stackrel{\textit{\Large Areas}}{\stackrel{rectangle}{(21)(10.5)}~~ - ~~\stackrel{two~circles}{2[\pi (5.25)^2]}}\implies 220.5~~ - ~~55.125\pi ~~\approx~~47.32[/tex]
Find the next number in the sequence: 1, 1, 2, -1, 1, -2, -1
answer:-1
reason :
Once the numbers add up, once they decrease
what does it mean?
it mean that:
The first and second numbers we add are one, they become two
The second and third numbers are one and two. We subtract the second number from the third number, it becomes negative one and ...
1+1=2
1-2=-1
2+(-1)=1
-1-(+1)=-2
1+(-2)=-1
so we should - them
-2-(-1)=-1
The next number in the given sequence will be negative 1.
What is a sequence?
A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.
A series of integers called an arithmetic succession or arithmetic chain of events has a fixed difference between the terms.
The first and second numbers we add are one, they become two.
The second and third numbers are one and two. We subtract the second number from the third number, it becomes a negative one, and ...
1 + 1 = 2
1 - 2 = - 1
2 + (-1) = 1
-1 - (+1) = -2
1 + (-2) = -1
Then the next number in the sequence will be given as,
-2 - (-1) = -1
The next number in the given sequence will be negative 1.
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PLEASE HELP ASAP!
Solve the inequality below. Enter your answer as an inequality, such as x < 2/3 or x > -3.
x/16 < -3
Does anyone know the answer? Please help me Thank you in advance! Algebra (Exploring Slope)
Answer:
Step-by-step explanation:
slope is rise over run 2/5, and it's positive b/c the line goes up hill.
when X =0 then the line is at -6
y = (2/5)X - 6
slope = 2/5
y intercept is -6
[tex]\sqrt({3\sqrt{3} )^{2} +5^{2}[/tex]
Answer:
2√13
Step-by-step explanation:
⇒ √(3√3)² + 5²
⇒ √27 + 25
⇒ √52
⇒ 2√13
evaluate tan (cos^-1x3/5)
Answer:
tan cox³ / 5s
Replace ^-1 with ^(-1)
Replace x3 with x³
Step 1Simplify
x³ / 5
Use equation to solve
tan • ((co • (s-1)) • x³ / 5)
Step 2Take the previous equation and format it in a simpler form
tan • ((co • (s-1)) • x³ / 5) ⇒ tan • cox³ / 5s
Result
tan cox³ / 5s
Simplify the expression: 9( – 10+ – 5y)+7y
PLEASE HELP !!
martian wants to save $20,000 to use as a down payment when he purchases a house. the function t represents the total amount he saves after m months, as shown.
T(m)= 5000+250m
how many months will it take martian to save $20,000
Answer:
60 months
Step-by-step explanation:
20 000 = 5000 + 250 m
20 000 - 5000 = 250 m
(15 000) / 250 = m = 60 months
Answer:
It would take roughly four months
Step-by-step explanation:
month one: 5,250
month two: 10,500
month three: 15,750
month four: 21,000
Help
What is the greatest common factor of the terms of the polynomial - 16/4 + 12y2 – 4y?
GCF=?
Answer:
i would like to. the answer is 4
Step-by-step explanation:
Answer:
Step-by-step explanation:
the answer would be 4, because 4 factors into every number.
Find the equation of the line that passes points
A(1,7)B(-3,-1)
Answer:
y = 2x + 5
Step-by-step explanation:
Here we have the two points as (x1=1, y1=7) and (x2 = -3, y2 = -1)
Slope of this line = (y2-y1)/(x2-x1) = (-1 -7)/(-3 - 1) = 8/4 = 2
Using slope intercept form of y = mx + c
we get y = 2 x + c
Substituing the coordinates (1,7) in this equation gives us
7 = 2.1 + c or c =5
hence y = 2x + 5
Check
if x = -3 then y = (-2)(-3) + 5 = -6 + 5 = -1 which satisfies the coordinates for the second point
(2x2 + 10x + 12) ÷ (x + 3)
Answer:
(2)(2)+10x+12/x+3
=
10x+16/x+3
Step-by-step explanation:
Fill in the table using this function rule.
y=5x-1
Answer:
Step-by-step explanation:
Answer:
(-2, -11)
(0, -1)
(2, 9)
(4, 19)
Step-by-step explanation:
when x = -2:
⇒ y = 5(-2) - 1
⇒ y = -10 - 1
⇒ y = -11
when x = 0:
⇒ y = 5(0) - 1
⇒ y = 0 - 1
⇒ y = -1
when x = 2:
⇒ y = 5(2) - 1
⇒ y = 10 - 1
⇒ y = 9
when x = 4:
⇒ y = 5(4) - 1
⇒ y = 20 - 1
⇒ y = 19
The coordinates of point A on a grid are (−2, −4). Point A is reflected across the y-axis to obtain point B. The coordinates of point B are (, −4).
The coordinates of the point B are given as (2, - 4)
What is coordinate geometry?A coordinate plane is a 2D plane which is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.
Under a reflection in the y- axis
A point (x, y) → (- x, y), hence
A(- 2, - 4) → B(2, - 4)
Therefore the coordinates of the point B are given as (2, - 4)
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Help please:
Rewrite the problem in terms of some using the double-angle formula.
Answer:
sin2x = √3/2.
Step-by-step explanation:
sin2x = 2 sinx cosx
So sinx cosx = 1/2 sin2x
So 1/2 sin2x = √3/4
sin2x = √3/4 * 2
sin2x = √3/2.
(2 + 8) : 5 + 3 x 4 – (1 + 5) : 2 =
The simplified form of the expression (2 + 8) : 5 + 3 x 4 – (1 + 5) in the ratio is 10 : 11.
What is a simplification of an expression?Usually, simplification involves proceeding with the pending operations in the expression. Like, 5 + 2 is an expression whose simplified form can be obtained by doing the pending addition, which results in 7 as its simplified form.
Simplification usually involves making the expression simple and easy to use later.
The given expression is
(2 + 8) : 5 + 3 x 4 – (1 + 5) : 2 =
10 : 5 + 12 - 6
10 : 11
The simplified form of the expression in the ratio is 10 : 11.
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solve for x ~
[tex]\bold\pink{x {}^{2} + 5x - 6 = 0}[/tex]
ty! ._.
[tex] \qquad \qquad \rm \large \dag \: Answer \: \dag[/tex]
We have been given a Quadratic equation, where we have to find the real values of x ~
So, let's proceed with middle term splitting method :
[tex]\qquad \sf \dashrightarrow \: {x}^{2} + 5x - 6 = 0[/tex]
[tex]\qquad \sf \dashrightarrow \: x {}^{2} + 6x - x - 6 = 0[/tex]
[tex]\qquad \sf \dashrightarrow \: {x(}^{} x + 6) - 1(x + 6) = 0[/tex]
[tex]\qquad \sf \dashrightarrow \: (x + 6)(x - 1) = 0[/tex]
Now, we have two conditions here~
Either (x + 6) = 0
[tex]\qquad \sf \dashrightarrow \: x = - 6[/tex]
or (x - 1) = 0
[tex]\qquad \sf \dashrightarrow \: x = 1[/tex]
A recipe uses 3 eggs with 600 g of flour.
Find the number of eggs to use in the same recipe with 1 kg of flour.
Answer:
5 eggs
Step-by-step explanation:
1x1000=1000g
3eggs : 600g
x eggs : 1000g
1000/600=5/3
5/3 x 3=5
Given OQ below, is YOR a minor arc, a major arc, or a semicircle?
A. Minor arc
B. Semicircle
C. Major arc
The arc YOR of the circle is the major arc
What is the Area of the Sector?In circles, a sector is said to be a part of a circle made of the arc of the circle together with its two radii. This means that it is a portion of the circle formed by a portion of the circumference (arc) and radii of the circle at both endpoints of the arc.
The formula for Area of a sector is given as;
θ/360 * πr²
where;
θ is the central angle of the sector
r is radius
Now, looking at the given options we can say that the only one that represents the area of the sector is;
A = n/360 * πr²
where n is the central angle of the sector
Given data ,
Let the arc of the sector be represented as YOR
Now , the center of the circle is Q
The angle subtended by the minor arc of the circle = 150°
So , the remaining angle = 360° - 150° = 210°
And , the angle subtended by the major arc = 210°
So , the arc YOR is the major arc of the circle
Hence , the major arc is YOR
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look at the attachment and see if you can solve please
The first step in finding the incenter of the triangle, JKL using paper folding is to Fold the paper so that the legs of ∠K overlap.
How can we use the paper folding method?The first step in using the paper folding method is to fold the paper so that the legs of the triangle overlap.
Then unfold the paper and draw a line at the crease you find. This will allow you to label the point of intersection after you do the same for all the sides of the triangle. This point is the incenter.
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a local hamburger shop sold a combined total of 698 hamburgers and cheeseburgers on sturday . there were 52 fewer cheeseburger sold then hamburgers . How many hamburgers were sold in saturday’s?
REASONING Write a question that is easier to answer using the stem-and-leaf plot than a dot plot.
Number of Customers
Stem Leaf
1 2 3 6 7
2 0 1 1 3 3 8 8
3 2 3 4 4 5 5 6 9 9
4 0 1 1 2 4 6 7 8 9 9
Key: 1/3 = 13 customers
T
T2
B
1
We can evaluate the mean, median, standard deviation and many other statistical measures from the stem-leaf table.
What is mean?It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.
From the stem leaf table, we can find different statistical measures.
From the picture attached, we can find different data
The minimum value = 12
The maximum value = 49
Total number of observation = 30
The sum of the all data = 986
Mean of the data = 986/30 = 32.87
Median of the data = 34.5
Standard deviation = 11.24
Variance = 126.4
Thus, we can evaluate the mean, median, standard deviation and many other statistical measures from the stem-leaf table.
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