Answer:
mode is 7, mean, 6.3 repeating, median 7
Step-by-step explanation:
The manufacturer of pencils spends $0.05 to make each pencil and sells them for 0.25. The manufacturer also has fixed
costs each month of $2000. Find the number of pencils x that the manufacturer needs to sell in order to break even
Answer:
x=10000
Step-by-step explanation:
The break even point occurs when costs equal revenue. Write the break-even formula and solve to find
C(x)0.05x−20000.2xx=R(x)=0.25x=2000=10000.
Find the general expression for the slope of a line tangent to the curve of y=2x^2+4x at the point P(x,y) . Then find the slopes for x=-3 and x=0.5. Sketch the curve and the tangent lines. What is the general expression for the slope of a line tangent to the curve of the function y=2x^2+4 at the point P(x,y) ?
Never mind I got it. mtan=6x+4. Sub in x values, for x=-2, take 6(-2)+4 = -8, and for x=1.5. 6(1.5)+4=13.
Complete Question
Find the general expression for the slope of a line tangent to the curve of y=2x^2+4x at the point P(x,y) . Then find the slopes for [tex] x = 3[/tex] and x=0.5. Sketch the curve and the tangent lines. What is the general expression for the slope of a line tangent to the curve of the function y=2x^2+4 at the point P(x,y) ?
Answer:
The generally expression for the slope of [tex]y = 2x^2 + 4x[/tex] is [tex]y' = 4x +4[/tex]
The graph is shown on the first uploaded image
The generally expression for the slope of [tex]y=2x^2+4[/tex] is [tex]y' = 4x[/tex]
Step-by-step explanation:
From the question we are told that
The equation of the curve is [tex]y = 2x^2 + 4x[/tex]
First we differentiate the equation
So
[tex]y' = 4x +4[/tex]
Therefore the generally expression for the slope tangent to the curve [tex]y=2x^2+4x[/tex] is [tex]y' = 4x +4[/tex]
The next step is to substitute for x = 3 and x = 0.5
So for [tex]x_1 = 3 [/tex]
[tex]y' = 4(3) +4[/tex]
[tex]y' =m_1= 16[/tex]
And for [tex]x_2 = 0.5[/tex]
[tex]y' = 4(0.5) +4[/tex]
[tex]y' =m_2= 6[/tex]
Here m_1 and m_2 are slops of the curve
Next we obtain the coordinates of the tangent lines
So at [tex]x_1 = 3 [/tex]
[tex]y_1 = 2(3)^2 + 4(3)[/tex]
[tex]y_1 = 21[/tex]
So the coordinate for the first tangent line is
[tex](x_1 , y_1 ) = (3 , 21)[/tex]
At [tex]x_2 = 0.5 [/tex]
[tex]y_2 = 2(0.5)^2 + 4(0.5)[/tex]
=> [tex]y_2 = 2.5[/tex]
So the coordinate for the second tangent line is
[tex](x_2 , y_2 ) = (0.5 , 2.5)[/tex]
Next we obtain the equation for the tangent lines
So generally the slope is mathematically represented as
[tex]m = \frac{y - y_1 }{x-x_1}[/tex]
For [tex](x_1 , y_1 ) = (-3 , 21)[/tex] and [tex]y' =m_1= 16[/tex]
[tex] 16 = \frac{y -21 }{x-3)}[/tex]
=> [tex]y = 16x - 27[/tex]
For [tex](x_2 , y_2 ) = (0.5 , 2.5)[/tex] and [tex]y' =m_2= 6[/tex]
[tex] 6 = \frac{y -2.5 }{x-0.5}[/tex]
[tex]y = 6x -0.5[/tex]
Generally the general expression for the slope of a line tangent to the curve of the function y=2x^2+4 at the point P(x,y) is mathematically evaluated by differentiating y=2x^2+4 as follows
[tex]y' = 4x[/tex]
Which of these is true about pi? A It is a terminating decimal. B It is an irrational number. C It is a repeating decimal. D It is a ratio of integers.
Answer:
B. It is an irrational number
Step-by-step explanation:
A would not be true because PI does not terminate (end)
B is true, because PI does not repeat or end
C would not be true because PI does not repeat
D just would not be true
The retail inventory value of an item is the item's retail price times the quantity in stock. If a pack of cookies' retail price is $2.98 and there are 9 items in inventory, what is the total retail value?
Answer:
$26.82
Step-by-step explanation:
9 * 2.98 = 26.82
pls mark brainliest, thanks :)
How do i find the domain and range on a graph
Answer:
domain = x
range = y
Please help! Will give brainliest.
Your cost for each light saber is $2.45 plus you have to pay a fixed weekly fee of $250 for the booth. You plan to sell each light saber for $4.15.
Write an expression that represents the profit for selling (n) light sabers in a given week.
How many light sabers must you sell in order to make a positive profit? (Profit>=0)
In order to make a positive profit, you would have to sell at least (blank) light sabers.
$4.15n - ($250 + $2.45n)
Now that we have our expression, let's set it greater than or equal to 0
$4.15n - ($250 + $2.45n) >= 0
Let's simplify the left side.
$4.15n - $250 - $2.45n >= 0.
Combine like terms.
$1.7n - $250 >= 0
Add $250 to both sides.
$1.7n >= $250
Divide both sides by $1.7
n >= 148
You would need to make 148 light sabers to make a positive profit.
What type of number is negative 15 over 3
Answer:
Rational number
Step-by-step explanation:
Rational numbers are defined as the quotient (division result) of two integers
what does ="" mean ?
PLEASE GIVE BRAINLIST
equal
quotation marks
HOPE THIS HELPED
$1,672.68
$287.84
$12.32
Answer:
$1672.68
Step-by-step explanation:
In one day at a store, 7% of the sales were
from shoes. Write 7% as a decimal.
Answer:
0.07
Step-by-step explanation:
Anwser: Your anwser is 0.07
how to solve the equation 2= -9n +22-n
Answer:
n = 2
Step-by-step explanation:
2 - 22 = -9n + 22 - n - 22
-20 = -9n - n
-20 = -10n
-20/-10 = -10/-10n
-2 = -n
n = 2
Answer:
The value of n is 2.
Step-by-step explanation:
First, you have to collect like-terms :
[tex]2 = - 9n + 22 - n[/tex]
[tex]2 = - 10n + 22[/tex]
Next, you have to subtract 22 on both sides :
[tex]2 - 22 = - 10n + 22 - 22[/tex]
[tex] - 20 = - 10n[/tex]
Lastly, have to divide -10 on both sides :
[tex] - 10n = - 20[/tex]
[tex] - 10n \div - 10 = - 20 \div - 10[/tex]
[tex]n = 2[/tex]
Factor 8x3 − 343.
A) (2x − 7)(4x2 + 14x + 49)
B) (2x − 7)(4x2 + 28x + 49)
C) (2x − 7)(4x2 −14x + 49)
D) (2x − 7)(4x2 − 28x + 49)
Which expression is equivalent to 27x3 + 125?
A) (3x – 5)(9x2 – 15x + 25)
B) (3x – 5)(9x2 + 15x – 25)
C) (3x + 5)(9x2 – 15x + 25)
D) (3x + 5)(9x2 + 15x – 25)
please explain if you could, thank you
Answer:
A) (2x − 7) (4x² + 14x + 49)
C) (3x + 5) (9x² − 15x + 25)
Step-by-step explanation:
Sums and differences of cubes factor as:
a³ + b³ = (a + b) (a² − ab + b²)
a³ − b³ = (a − b) (a² + ab + b²)
8x³ − 343 is a difference of cubes.
(2x)³ − 7³
(2x − 7) (4x² + 14x + 49)
27x³ + 125 is a sum of cubes.
(3x)³ + 5³
(3x + 5) (9x² − 15x + 25)
The triangle will be enlarged by a scale factor of 10. A triangle with base 10 centimeters and height 7 centimeters. What will be the area of the new triangle?
Answer:
3500cm^2
Step-by-step explanation:
Area of a triangle= bxh/2
10x10=100
7x10=70
100x70=7000
7000/2=3500
Answer:
3500 cm²
Step-by-step explanation:
The given triangle has an area of ...
A = (1/2)bh = (1/2)(10 cm)(7 cm) = 35 cm²
The area of the enlarged triangle will be 10² = 100 times that, or 3500 cm².
__
You can see this if you use the enlarged dimensions in the area formula:
A = (1/2)bh = (1/2)(10·10 cm)(10·7 cm) = 100·35 cm² = 3500 cm
1/5 X B = 40 what is b
Answer:B = 200
Step-by-step explanation:multiply both sides by 5
5*1/5 = 5*40
B = 200
Evaluate 3|−5| − 2|−2|
Answer:118
Step-by-step explanation:
3!-5!-2!-2! =? IF ! MEANS FACTORIAL, 3! MEANS 3X2X1=6,
-5! MEANS -5X4X3X2X1=-120
-2!= -2X1=-2
-2!=-2X1=-2
PROBLEM BECOMES 6--120-2-2=118
can you help me with this queistion
Answer:
B
Step-by-step explanation:
A forensic accountant usually takes additional coursework in which field?
Answer:
law enforcement
Step-by-step explanation:
can yall please start answering more questions about the subject
Solve |2x - 1| + 3 = 6.
Answer:
x =2 x = -1
Step-by-step explanation:
|2x - 1| + 3 = 6.
Subtract 3 from each side
|2x - 1| + 3-3 = 6-3
|2x - 1|= 3
An absolute value has two solutions, one positive and one negative
2x-1 =3 2x -1 = -3
Add 1 to all sides
2x-1+1 =3+1 2x-1+1 = -3+1
2x = 4 2x =-2
Divide by 2
2x/2 = 4/2 2x/2 = -2/2
x =2 x = -1
Steps to solve:
|2x - 1| + 3 = 6
~Subtract 3 to both sides
|2x - 1| = 3
~Since we are working with an absolute value, one answer will be positive and one will be negative.
2x - 1 = 3
~Add 1 to both sides
2x = 4
~Divide 2 to both sides
x = 2
2x - 1 = -3
~Add 1 to both sides
2x = -2
~Divide 2 to both sides
x = -1
Best of Luck!
What is the equation to the expression -2-3(-4)?
Answer:
c) -1
Step-by-step explanation:
-2-3-(-4)
=-5+4
=-1
Which is the definition of a ray?a part of a line that has one endpoint and extends indefinitely in one direction the set of all points in a plane that are a given distance away from a given point lines that lie in the same plane and do not intersect part of a line that has two endpoints
Answer:
a part of a line that has one endpoint and extends indefinitely in one direction-by-step explanation:
The definition of a ray can be stated as: a part of a line that has one endpoint and extends indefinitely in one direction.
What is a Ray?In geometry, a ray can be defined as a line segment that has one endpoint and extends on the one direction of the line segment indefinitely.
An example of a ray is shown in the image attached below. Line segments red and blue are two rays with one endpoint that extends towards another direction indefinitely.
Therefore, the definition of a ray can be stated as: a part of a line that has one endpoint and extends indefinitely in one direction.
Learn more about a ray on:
https://brainly.com/question/1850410
A triangle measures 12 degrees and 40 degrees what is the measurement of the 3rd angle of the triangle
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{128°}}}}}[/tex]
Step-by-step explanation:
Sum of angles of triangle add up to 180°
Let the third angle be x
Create an equation and solve for x
[tex] \sf{x + 12° + 40° = 180°}[/tex]
[tex] \dashrightarrow{ \sf{x + 52° = 180°}}[/tex]
[tex] \dashrightarrow{ \sf{x = 180° - 52°}}[/tex]
[tex] \dashrightarrow{ \boxed{\sf{x = 128°}}}[/tex]
Hope I helped!
Best regards! :D
need help solving 3/5+1/4=
Answer:
17/20 or 0.85
Step-by-step explanation:
3 x 4/20 + 1 x 5/20
12/20 + 5/20
( 12 + 5 ) / 20
17/20
( 0.85 )
the floor of a house is shaped like a parallelogram the height of the parallelogram is 8 feet less than the base. the base is 48 feet. the length of the other side of the parallelogram is 45 ft what is the area of the floor?
Answer:
1920 ft^2
Step-by-step explanation:
base = 48 ft
height = 48 ft - 8 ft = 40 ft
area = base * height
area = 48 ft * 40 ft
area = 1920 ft^2
HELP PLEASE THANK YOU SO SO SO MUCH <3
What is
10x + 300 = 800
Pls
Answer:
x = 50
Step-by-step explanation:
10x + 300 = 800
subtract 300 from both sides
10x = 500
divide each side by 10
x = 50
Step-by-step explanation:
First group like terms
10x
[tex]10x + 300 = 800 \\ [/tex]
300 moves and joins 800 on the other side making it negative
[tex]10x = 800 - 300 = 500[/tex]
[tex]10x = 500[/tex]
10 then divides 500
Making the answer x=50
A truck can be rented from Company for 50 dollars a day plus 0.50 per mile. Company B charges 30 dollars a day plus 0.90 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for company A and company B are the same.
Answer:
no company a gets 3 miles company b gets 5 miles
Step-by-step explanation:
The function g(x) is graphed below. Find g(2).* N 22 need help solving please
Answer:
x =2, The function g(x) = g(2) = 1
Prasha has five blocks of wood The total weight of all five blocks of wood is 3 kilograms. 4 of the blocks of wood each have a weight of 650 grams. Work out the weight, in grams, of the other block of wood. Step by step please :).
The weight of the other block of wood is 400 grams.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, Prasha has five blocks of wood the total weight of all five blocks of wood is 3 kilograms.
4 of the blocks of wood each have a weight of 650 grams.
∴ (4×650) = 2600 grams is the total weight.
So, the weight of the other block of wood is (3000 - 2600) grams.
= 400 grams.
learn more about the unitary method here :
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The point (3,65) lies on the graph representing a proportional relationship. Which of the following points also lie on the same graph?
Answer:
Step-by-step explanation:
ohhh
Answer:
A B and E all fall on the line expressed.
Step-by-step explanation:
Cuantos paquetes de 10 vasos ocupo para empacar 1367 vasos
Queremos encontrar y resolver una expresion algebraica para ver cuantos paquetes necesitamos para empacar los vasos.
La solución es 137 paquetes.
Veamos como obtener la solución.
Cada paquete puede sostener 10 vasos, y tenemos un total de 1367 vasos.
Entonces lo que debemos ver es cuantos grupos de vasos tenemos en 1367, esto será simplemente el cociente entre 1367 y 10.
1367/10 = 136.7
El problema ahora es que no podemos sar un 0.7 de un paquete, así que debemos redondear esto al proximo número entero, que es 137.
Así, podemos concluir que se necesitaran 137 paquetes para empacar los 1367 vasos.
Si quieres aprender más, puedes leer.
https://brainly.com/question/21692632