Answer: b) 68%
Step-by-step explanation:
Gross margin is used to calculate the amount left of revenue after the costs of goods sold is accounted for.
The formula is:
= (Revenue - Cost) / Revenue
= (28,675 - 9,274) / 28,675
= 0.67658
= 68%
ABC has vertices at A(3.2), B(1.4), and C(2.7).
What will be the new vertices after a 90° counter clockwise rotation about the origin?
Answer:
A = 1,4
B = 2,1
C = -4,-5
Step-by-step explanation:
The 90 degree anticlockwise rotation around the origin (0,0) would over lap the y axis around 1 and due to this the formation would show C point at -4,-5
Solve for x in the triangle. Round your answer to the nearest tenth.
Answer:
x=28.9
Step-by-step explanation:
tan(61)=x/16
What is -3y(y-8)(2y+1)=0
Step-by-step explanation:
(-3y^2+24y)(-6y^2-3y)
open the bracket and collect the like terms
-3y^2-6y^2+24y-3y
-9y^2+21y
K/-8 = -6
Can I have help on this.
Answer:
=48
Step-by-step explanation:
Answer:
k/-8=-6
k=-6*-8
k=48
Step-by-step explanation:
Are these two lines parallel?
y = 3x – 2
X 0 1 2 3
y3 6 9 12
Yes
No .
Answer:
Yes
Step-by-step explanation:
Type
the correct answer in each box.
A circle is centered at the point (-7, -1) and passes through the point (8, 7).
The radius of the circle is
units. The point (-15, lies on this circle.
Answer:
radius = 17 units
equation of the circle =( x -h)^2 +(y -k) ^2 = r^2
or , (8 -(-7))^2 + (7-(-1))^2 = r^2
or, (8+7)^2 + (7 + 1)^2 = r^2
or, (15)^2 + (8)^2 =r^2
or, 225 + 64 = r^2
or 289 =r^2
or, 17^2 = r^2
or, r = 17 units
Please check the point by inserting centre(-7,-1) in place of (h,k ) and point in (x , y) and radius in r in the following equation
(x-h)^2 + (y - k)^2 = r^ 2.
Given the Production Function Q = 72X + 15X 2 - X 3 , where Q =Output and X=Input (5 marks) a) What is the Marginal Product (MP) when X = 8? B) What is the Average Product (AP) when X = 6? C) At what value of X will Q be at its maximum? D) At what value of X will Diminishing Returns set in?
Answer:
a.) Marginal Product (MP) = 120
b.) Average Product = 126
c.) At x = 12, the output is maximum.
d.) After 5 levels of inputs diminishing returns set in.
Step-by-step explanation:
Given that,
Q = 72x + 15x² - x³
a.)
Marginal Product is equal to
[tex]\frac{dQ}{dx} = 72 + 30x - 3x^{2}[/tex]
At x = 8
MP = 72 + 30(8) - 3(8)²
= 72 + 240 - 192
= 120
∴ we get
Marginal Product (MP) = 120
b.)
Average Product is equals to
= [tex]\frac{Q}{x}[/tex]
= 72 + 15x - x²
At x = 6
Average Product = 72 + 15(6) - 6²
= 72 + 90 - 36
= 126
∴ we get
Average Product = 126
c.)
For Maximizing Q,
Put [tex]\frac{dQ}{dx} = 0[/tex]
⇒72 + 30x - 3x² = 0
⇒24 + 10x - x² = 0
⇒x² - 10x - 24 = 0
⇒x² - 12x + 2x - 24 = 0
⇒x(x - 12) + 2(x - 12) = 0
⇒(x + 2)(x - 12) = 0
⇒x = -2, 12
As items can not be negative
∴ we get
At x = 12, the output is maximum.
d.)
Now,
For Diminishing Return
[tex]\frac{d(MP)}{dx} = \frac{d^{2}Q}{dx^{2} } < 0[/tex]
⇒30 - 6x < 0
⇒-6x < -30
⇒6x > 30
⇒x > 5
∴ we get
For x > 5, the diminishing returns set in
i.e.
After 5 levels of inputs diminishing returns set in.
A line has this equation: y = -8x + 8,
Write an equation for the parallel line that goes through (9,7)
[tex]=======================================[/tex]
parallel lines have the same slope; it means that if we have a line with a slope of -8, then the line parallel to the given line has the same slope (-8)
now, we are also given a point that the line passes through:
(9, 7)
we can use point-slope form:
[tex]\pmb{y-y1=m(x-x1)}[/tex]
[tex]\pmb{y-7=-8(x-9)}[/tex] (point-slope form)
now, convert to slope-intercept form, if necessary:
[tex]\pmb{y-7=-8x+72}[/tex]
[tex]\pmb{y=-8x+72+7}[/tex]
[tex]\pmb{y=-8x+79}[/tex]
[tex]================================[/tex]
note:-Hope everything is clear; if you need any more explanation, kindly let me know.
what is the length of side c?
Answer:
try doing 18.1
Step-by-step explanation:
hope this helps
Which characteristic does the graph display? A) Odd function
B) even function
C) neither even nor odd
Answer:
B is correct option
Step-by-step explanation:
The graph of an even function is symmetric about the y-axis. The graph of an odd function is symmetric about the x-axis. It is possible that the use of these two words originated with the observation that the graph of a polynomial function in which all variables are to an even power is symmetric about the y -axis.
Which statement is true?
A) function is a relation where each output value is assigned to exactly one input value.
B) The domain of a function is the set of all output values, or y-values, for which the function is defined.
C)The range of a function is the set of all input values, or x-values, for which the function is defined.
D)To write the equation y = ax + b in function notation, substitute f(x) for y.
Answer:
D
Step-by-step explanation:
Answer: D
Step-by-step explanation:
A function is a relation where each input value is assigned to only one output value.
The domain of a function is the set of all input values, or x-values, for which the function is defined.
The range of a function is the set of all output values, or y-values, for which the function is defined.
Which A, B, & C are wrong. So D, is the one that makes the most sense.
Find the area of the triangle.
A right triangle has a base of 7 meters and a height of 6 meters.
7 m 6m
Answer:
7 x 6 = 42, 42 divided by 2 (x 1/2) = 21 meters
Step-by-step explanation:
Formula of area of a triangle:
BH x 1/2
base x height x 1/2(basically just dividing by 2)
Answer:21 m2
Step-by-step explanation:
h= 6
b= 7
6x7= 42
42 divided by 2 = 21
Area= 21m
The diameter of a circle is 12 cm. Find the circumference to the nearest tenth}to the nearest tenth.
Answer:
multiple by pie or 3.14........
Answer:
38 or 37.7 when not rounded
Step-by-step explanation:
396 divided by 11. Step by step explanation
Answer: 36
Step-by-step explanation: using long division you take 11 divide into 398 so first, 11 goes into 39, 3 times
you have 6 left, so keep the 6 and drop down the other 6
next 11 goes into 66, 6 times making it 396/11= 36
hope this helps
Answer:
36
Step-by-step explanation:
396 divided by 11 is equal to 36
36
11/[tex]\sqrt{396\\}[/tex]
- 33
066
- 66
0
Plz help! No link plz! I need to finish fast!
Need answer FAST!! (Something is incorrect in their work but I can’t figure it out) “Charlotte’s ice skates cost $30.45 less than her skateboard. Her ice skates cost $95.28. How much did her skateboard cost?”
Answer:
Skateboard costs 125.73$
Step-by-step explanation:
If 12 cans of cat food cost $40.00 then
how much would it cost for 60 cans ?
Answer:
$200.00
Step-by-step explanation:
because if you do a ratio:
12=40
60=?
60 divided by 12 is 5, and whatever you do to the top you must do to the bottom, so then you gotta do 40 times 5=200
Rachel had 36 quarters. If it costs 4 quarters for each coke from a coke machine, how many could she buy?
If you solve this correctly I’ll give you brainliest!
<3 pwease help will do anything lol <3
2. A 480 Ω resistor is connected in series to a 360 Ω resistor and a 120-V power supply.
a. Draw the circuit.
b. Calculate the equivalent resistance of the circuit.
c. Calculate the current through the battery.
d. How much current is passing through each resistor?
e. Calculate the voltage drop across each resistor.
f. How does the voltage drop across each resistor compare to the voltage of the battery
I just answered a so let's start with b :
______________________________
b. The equivalent resistance of series
resistances is equal to their sum
Thus :
equivalent resistance = 480 + 360
equivalent resistance = 840
_______________________________
c.
I = V ÷ R
I = 120 ÷ 840
I = 0.1428 A
_______________________________
d. 0.1428 A
_______________________________
e. 480 ===》 120 - ( 480 × 0.1428 ) =
120 - 68.544 =
51.456
360 ===》 120 - ( 360 × 0.1428 ) =
120 - 51.408 =
68.592
_______________________________
f. 480 ===》68.544 lower than battery
360 ===》 51.408 lower than battery
PLEASE HELP ITS A TEST!!
Point A = (3, 4) Point B = (11,8)
Find the point on segment AB that is 3/4 of the distance from A to B
Answer:
b
Step-by-step explanation:
9)A linear equation is graphed. What is the y-intercept of the linear
equation?
*
This is where the diagonal line crosses the vertical y axis.
The y intercept always occurs when x = 0. The location of the y intercept in (x,y) form is (0,-1)
3 men go to a hotel, the room price is 15 dollars so each man pays 5 bucks, but then the receptionist realizes there is a discount so the room is only 10 dollars, so she hands back 5 dollars, so each man decides to take a dollar each and give the receptionist a 2 dollar tip, now if you add what I have said up, you will realize there is a dollar missing, please someone help me figure this out, its been in my mind for days now
Answer:
He might have dropped it.
Step-by-step explanation:
If the manager didn't have any 5 dollar bills then he could have given him 3 dollars in ones and one 2 dollar bill. 2 dollar bills are rare now, he wanted the 2 dollar bill to keep for himself and also dropped one of the single dollar bills.
A transformation is a of a figure to the or
Answer: change, position, shape
Step-by-step explanation:
- 7th Grade Work -
Please answer with an equation that would represent the situation.
A bagel shop offers a mug filled with coffee for $7.75, with each refill costing $1.25. Kendra spent $31.50 on the mug and refills last month. How many refills did Kendra buy?
Answer:
7.75+1.25x=31.50
Step-by-step explanation:
so in the end the answer is 19
Answer:
19 refills
Step-by-step explanation:
7.75+1.25x=31.50
Subtract the 7.75 on the other side..
1.25x=23.75
Then divide 1.25 from the 23.75
So, x which is the refills equal 19
Simplify 12 − 32 + (5 − 1)2.
A) 12
B) 18
C) 19
D) 97
12-32+[5-1]x2
-20+4x2
-20+8
=-12
The simplified form of the given expression is -12. Therefore, option A is the correct answer.
What is simplify?Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
The given expression is 12-32+(5-1)2.
Here, 12-32+4×2
= -20+8
= -12
Therefore, option A is the correct answer.
Learn more about the simplification here:
brainly.com/question/2804192.
#SPJ6
find the surface area
Plzzz I Need help ASAPPPPPPP
Answer:
1, 3, and 4 would be correct answers
Step-by-step explanation:
1.) -x - 2x - 3y - 2y + 1 + 1 = -3x -5y + 2
2.) -3x + 2y + 3y + 2 = -3x + 5y + 2
3.) -3x - y - y - y - y - y + 2 = -3x - 5y + 2
4.) -x - x - x - y - y - y - y - y + 1 + 1 = -3x - 5y + 2
5.) x + x + x + y + y + y + y + y + 1 + 1 = 3x + 5y + 2
Hope this helps!
A triangle has angle measurements of 56°, 54°, and 70°. What kind of triangle is it?
Answer and Step-by-step explanation:
The answer is acute.
Acute angles are angles that have a degree that is less than 90 degrees.
Obtuse angles are angles that have a degree that is more than 90 degrees.
Right angles are angles that are 90 degrees.
Our triangle has all angles that are less than 90 degrees, so it is an acute triangle.
#teatrmees #PAW (Plant And Water)
Which expression(s) result(s) in negative answer(s), when simplified?
Select ALL that apply.
-1+(-5)
2-(-4)
-3+2
+2
4+ (-2)
o 5-(-5)
06-(-1)