Answer: 80 is the number of cupcakes for which the profit is equal to 0
Step-by-step explanation:
The best interpretation of the number 80 in the context of the given equation will be in option A, i.e. 80 is a number of cupcakes for which the profit is equal to $0.
What is Profit?Profit is the amount which we earned after selling something at a price more than its cost price.
We have,
P(q) = -0.01 (q - 250) (q- 80)
Where,
P(q) = profit earned by a cupcake bakery in dollars
q = cupcakes produced
So,
Now,
We have to find out the context of 80 in given equation,
So,
Lets substitute q = 80, in the given equation,
i.e.
P(q) = -0.01 (q - 250) (q- 80)
⇒
P(80) = -0.01 (80 - 250) (80- 80)
We get,
P(80) = -0.01 (- 170) (0)
i.e.
P(80) = 0
So, 80 is a number of cupcakes for which the profit is equal to $0.
Hence, we can say that the best interpretation of the number 80 in the context of the given equation will be in option A, i.e. 80 is a number of cupcakes for which the profit is equal to $0.
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Amy needs to order a shade for a triangular-shaped window that has a base of 6 feet and a height of 8 feet. What is the area of the shade?
The area of the shade is
ft2.
Amy needs to order a shade for a triangular-shaped window that has a base of 6 feet and a height of 8 feet. What is the area of the shade?
The area of the shade is
ft2.
Answer:
24ft.
Step-by-step explanation:
Formula: (LxW)/2
6x8=48
48/2=24
answer; 24
State whether the indicated angle pairs are adjacent or not. An explanation would be nice, but you don't have to.
1. Yes, angles a and b have a common vertex (starting point) and a common side (the line between angle a and b). They do not overlap.
2. No, angles a and b share a common vertex but not a common side.
3. No. Same as above.
4. Yes, anlges a and b share a common vertex and side.
The table shows the balance of two accounts each year for four years. Determine whether each balance is linear or nonlinear. Then predict which account will have a greater balance in Year 3.
Year, t Account A Balance Account B Balance
0 $450 $550
1 $504 $570
2 $564.48 $590
Account A Balance is linear. Account B Balance is nonlinear. Account A will have a greater balance in Year 3.
Account A Balance is nonlinear. Account B Balance is linear. Account A will have a greater balance in Year 3.
Account A Balance is linear. Account B Balance is nonlinear. Account B will have a greater balance in Year 3.
Account A Balance is nonlinear. Account B Balance is linear. Account B will have a greater balance in Year 3.
Account A Balance is nonlinear. Account B Balance is linear. Account A will have a greater balance in Year 3. Then the correct option is B.
What is the slope?The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall and the difference between the abscissa is called run.
The slope of the line is given as,
m = (y₂ - y₁) / (x₂ - x₁)
The slope for account A is calculated as,
m = (504 - 450) / (1 - 0) = (564 - 504) / (2 - 1)
54 ≠ 60
Account A is non-linear. The amount after 3 years will be more than $620 ($564 + $60).
The slope for account B is calculated as,
m = (570 - 550) / (1 - 0) = (590 - 570) / (2 - 1)
20 = 20
Account A is linear. The amount after 3 years will be $610 ($590 + $20).
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Calculate the distance the train will travel in 3/4 hour.
Answer:
what is the speed of the train? if that is miles per hour just figure out what 75% is of that number
Step-by-step explanation:
Find the surface area of the triangular prism shown below.
Answer:
the surface area is 544 square units
Step-by-step explanation:
the tringles first
12 x 8 = 96
base
12 x 14 = 168
sides
10 x 14 x 2 = 280
96 + 168 + 280
im going to break it down
000 + 100 + 200 = 300
90 + 60 + 80 = 230
6 + 8 + 0 = 14
300 + 230 = 530
530 + 14 = 544
The surface area of the triangular prism is equivalent to 330 units square.
What is a triangular prism?A triangular prism is a 3D shape with two identical faces in the shape of a triangle connected by three rectangular faces.
Given is a triangular prism as shown in the image.
We can calculate the surface area of the triangular prism as follows -
A{P} = {2 x A(T)} + {2 x A(R)} + A{B}
A{P} = {2 x 1/2 x 12 x 8} + {2 x 14 x 10} + {14 x 12}
A{P} = 12 x 8 + 2 x 140 + 14 x 12
A[P} = 4{3 x 2} + 2(7 + 6) + 280
A[P} = 24 + 26 + 280
A{P} = 330 units square
Therefore, the surface area of the triangular prism is equivalent to 330 units square.
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Determine the value of x (Different math problem)
Answer:
X=11
Step-by-step explanation:
5x+9+4x+5+7x-10=180°
5x+4x+7x+9+5-10=180°
16x+4=180°
16x=180°-4°
16x=176
X=11
One point on a line is (4, 6). The slope of the line is 3/4. Choose all of the following that could be another point on the line.
a. (0, 3)
b. (-8, -3)
c. (0, -3)
d. (-8, -1)
e. (12, 12)
anyone help with this?
(18x 5 + 6x 4 - 12x 3) ÷ 6x 2
Which expressions are equivalent to 7x - 14? Check all that apply.
A: 14 - 7x
B: x - 2
C: -(14 - 7x)
D: 7(x - 2)
E: 3x - 14 + 4x
F: 2x - 10 + 5x + 4
Answer:
c
d
e
Step-by-step explanation:
4(3x+2y) distributive property pls help
Answer:
[tex]12x+8y[/tex]
Step-by-step explanation:
1) Expand by distributing terms.
[tex]4*3x+4*2y[/tex]
2) Simplify 4*3x to 12x.
[tex]12x+4*2y[/tex]
3) Simplify 4*2y to 8y.
[tex]12x+8y[/tex]
Therefor, the answer is 12x + 8y.
Find the value of x.
Answer:
x = 33
Step-by-step explanation:
x - 12 and 2x + 3 form a right angle , then
x - 12 + 2x + 3 = 90
3x - 9 = 90 ( add 9 to both sides )
3x = 99 ( divide both sides by 3 )
x = 33
6)a garden was square, but last year she made it makes or shortening one side 5 meters and the other 8 meters. If the area of the smaller garden is 180 m², then what was the area of her square garden
Answer:
let dimention of original garden be x
then (x-8)(x-5) = 180
x^2 -13x -140 = 0
(x-20)(x+7)=0
x= 20 or x = -7
x = 20
original area = (20)^2
= 400 m^2
soylindo del 1 al 10
Answer:
6.5
Step-by-step explanation:
HELP ME PLEASE!!,I WILL GIVE BRAINLIEST!!I PROMISE:)!!
Answer: C
The denominator is just the number on the bottom. In this case its [tex]2\sqrt{2}[/tex]
A scientist illegally introduces new species of honey bees in their labs. The growth of the population of this new species is modeled by the equation below, where x is the time in weeks following the introduction of the species. If the lab contains 450 bacteria after 2 weeks, how many bacteria did the scientist initially create?
A,30
b.40
c.50
d.60
Please help me
If you move 5 meters south and then move 2 meters north what is the distance and displacement
Answer:
10
Step-by-step explanation:
HELP PLS :(
At a closed landfill, trash is decaying at a rate of 50% every 15 years.
Which type of function best models the amount of
trash that is remaining after x years?
linear
exponential
quadratic
cubic
Answer:
I believe it's linear
Step-by-step explanation:
don't quote me on that tho
(2+h)^4 is equal to what
Answer:
16+32h+24h²+8h³+[tex]h^{4}[/tex]
Step-by-step explanation:
NEED HELP ASAP WILL GIVE BRAINLY
Answer:
The third one
Step-by-step explanation:
4 x 14.4^3 x pi
---------------------
3
please help!! will mark brainliest
What is the area of a circle whose radius is 54 feet?
The area is ___ ∏ ft²
Answer:
2916 pi ft
Step-by-step explanation:
Area of a circle: pi r ^2
54^2 = 2916
Hope this helps!
7,469.25 to the nearest cent
It already is to the nearest cent. 25 cents.
Answer:
0
Step-by-step explanation:
What is the slope of the line that contains these points? x=9,13,17,21 and y =-24,-21,-18,-15
Can some one help me answer this.
Answer: y= 0.0025
Step-by-step explanation:
Answer:
y= 0.0025
Step-by-step explanation:
every number in the y place is mutipled by four so to find y you need to divide 0.01 by 4
The radius of the base of a right circular cone is 6 yards, and its slant height is 12 yards. If the radius and the slant height are each multiplied by 4, by what factor is the surface area multiplied?
A. 4
B. 8
C. 16
D. 24
Answer:
the correct answer is C
Step-by-step explanation:
i took the test
Can someone help with numbers 1 and 2 for both of them tell me the answer and how you get it
Answer:
Here a = 20,, b= 8
Step-by-step explanation:
Using Pythagoras theorem,
a^2 + 15^2 = 25^2 ,, b^2 + 6^2 =10^2=100
Answer:
a = 20, b = 8
Step-by-step explanation:
Using Pythagoras' identity
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
(1)
a² + 15² = 25²
a² + 225 = 625 ( subtract 225 from both sides )
a² = 400 ( take the square root of both sides )
a = [tex]\sqrt{400}[/tex] = 20
(2)
b² + 6² = 10²
b² + 36 = 100 ( subtract 36 from both sides )
b² = 64 ( take the square root of both sides )
b = [tex]\sqrt{64}[/tex] = 8
The length of a rectangle is 3 times the width. If
the length is decreased by 4m and the width is
increased by 1m, the perimeter will be 66m.
Determine the dimensions of the original rectangle.
Answer:
Length = 27 metresWidth = 9 meters
Step-by-step explanation:
Answer in a flash!!!
Answer:
C
Step-by-step explanation:
As x moves towards infinity, the y value is constant, it never changes.
Answer:
The answer is C, it doesn't show a change
Marcus mows lawns for his summer job. He earns $15 per lawn. If he earned $75 dollars during the week, how many lawns did he mow?
A puppy weighs 4 pounds. Six months later, the puppy weighs 22 pounds. What is the average weight per month?
Answer:
3 pounds per month
Step-by-step explanation:
22-4 = 18
18/6=3