Answers
Answer:
a) $50,880
b) $48
c) 1060
Step-by-step explanation:
a)
-320x^2 + 1920x + 48000 = 0
This is a parabola that opens downward. It has a maximum value. The maximum value occurs at x = -b/(2a)
x = -b/(2a) = (-1920)/(2(-320)) = 1920/640 = 3
The maximum revenue, y, is the value of the function evaluated at x = 3.
f(x) = -320x^2 + 1920x + 48000
f(-3) = -320(3)^2 + 1920(3) + 48000
f(-3) = 50,880
The maximum revenue is $50,880
b)
Since maximum revenue occurs at x = 3, and since x represents the number of $4 discounts, the discount is 3 * $4 = $12. The price is $60 - $12 = $48
c)
$50,880/$48 = 1060
Related Questions
PLS HELP ME WITH THIS QUESTION IVE BEEN DYING TRYING TO FIGURE THIS OUT
Answers
Answer:
y = -x - 1
Step-by-step explanation:
hello,
this is a line, right?
So the equation should be something like
y = ax+b and we need to find a and b
we can see that the points (-1,0) and (0,-1) are in the line so we can write
0 = a*(-1) + b <=> b - a = 0 <=> a = b
-1 = a*0 + b <=> b = -1
so the equation is
y = -x - 1
hope this helps
Answer:
y = - x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 1) and (x₂, y₂ ) = (0, - 1)
m = [tex]\frac{-1-1}{0+2}[/tex] = [tex]\frac{-2}{2}[/tex] = - 1
The line crosses the y- axis at (0, - 1 ) ⇒ c = - 1
y = - x - 1 ← equation of line
A county is considering raising the speed limit on a road because they claim that the mean speed of vehicles is greater than 45 miles per hour. A random sample of 25 vehicles has a mean peed o 48 miles per our and a standard deviation of 255 miles. What is the sample statistic?
Answers
Answer:
48 miles per hour.
Step-by-step explanation:
The definition of a sample statistic is "any function of observed data, such as the sample mean, sample variance, etc.".
We are given both the sample mean and the sample variance. But samples exist to be compared to the population.
Since we are given the data that "the mean speed of vehicles is greater than 45 miles per hour", we are told what is happening to the mean, not the standard deviation. So, we will use the mean of the sample of 25 vehicles to state the sample statistic: mean speed of 48 miles per hour.
Hope this helps!
At Kathmandu temperature was – 5°C on Monday and then it dropped by 2∘C on Tuesday. What was the temperature of Kathmandu on Tuesday?
Answers
Answer:
Monday= -5°c
on Tuesday dropped 2 °c
question
what was temperature on Tuesday
answer
=-5 - 2= -7°c on tuesday
hope it helps you
#passionforlearning
PLEASE HELP ASAP THANKS A LOT
Answers
Answer:
The 8ft tall pine tree will not affect the box plot here is why........
Outliers are important because they are numbers that are "outside" of the Box Plot's upper and lower fence, though they don't affect or change any other numbers in the Box Plot they are still important.
If you want to find your fences you will first take your IQR and multiply it by 1.5. I call this your "magic number".
Lower fence: Take your Q1 and subtract it from your magic number, that number your get is your lower fence.
Upper fence: Take your Q3 and add it to your magic number, that number you get is your upper fence.
Complete the solution of the equation. Find th
value of y when x equals -4.
- 8x + y = 37
Enter the correct answer.
Answers
Answer:
64
Step-by-step explanation:
pleeeeeeeeeeeeeeeeeeease i need this answer
Answers
Answer:
12^2(Pi)+24*(Pi)*35
Step-by-step explanation:
12^2(Pi)+24*(Pi)*35
Suppose the linear regression line y = 3.27x + 1.52 predicts the weight of a large dog, in pounds, x weeks after it is born. About how much would the dog weigh after 6 weeks?
Answers
Answer:
21.14 lbs.
Step-by-step explanation:
So you plug in x=6.
y=3.27(6)+1.52=21.14
PLEASE HELP
Compare the functions show below:
Which function has the most x-intercepts?
A) f(x)
B) g(x)
C) h(x)
D) all three functions have the same number of x-intercepts.
Answers
Answer:
A) f(x)
Step-by-step explanation:
f(x) has 4 x-intercepts, becoz it "cross" the x axis 4 times.
g(x) would have an infinite number of intercepts coz it is a cos function, but it gave a limit to the domain which is 0 to 2[tex]\pi[/tex], so it only has 2 x-intercepts.
h(x) is the degree of x^3, so in theory, it has 3 x-intercepts.
The function that has the most x-intercept is given by: Option A: f(x)
What is x-intercept of a function?The x-intercept of a function of variable x ( y = f(x) ) form is an intersection fo the x-axis and the curve of the function.
The x-intercept for a function y = f(x) is a solution to the equation f(x) = 0 becuase at that value of x, the function f(x) lies on x-axis, where y is 0. Values of x-intercept for a function f(x) are also called roots or solution of f(x) = 0 equation.
What is the maximum number of roots a polynomial equation can have?Suppose that we've got a polynomial function as y = p(x),
where p(x) is of degree n (the highest power its variable pertains in any of its composing terms).
Then, the maximum number of roots it can possess for p(x) = c (c is a constant), or p(x) - c = 0 is n
So, the number of roots of p(x) - c = 0 cannot exceed the degree of p(x).
From the graph, we see that:
f(x) intersects x-axis at 4 places, so it has 4 x-intercepts.
g(x) intersects the x-axis at 2 places as in the graph, and therefore, it has 2 x-intercepts.
h(x) is a polynomial of degree 3. The maximum number of intercepts it can have is the maximum number of roots h(x) = 0 can have which is 3(the degree of h(x) ). So it cannot be bigger than 3.
Thus, the function that has the most x-intercept is given by: Option A: f(x)
Learn more about x-intercept here:
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if anybody can answer atleast 1 of the 2 questions that would be great! Thank you:) *Grade 9 work*
Answers
Answer:
perimeter=[tex]2(l+b)[/tex]
2(3b+5+2b-1)=
2(5b+4)=0
5b+4=o
b=-4/5
but be can't be -ve
therefore,b=4/5 or 0.8
Answer:
6) The perimeter of the triangle is 3(3x - 1)
7) The perimeter of the rectangle is 2(5b + 4)
Step-by-step explanation:
The perimeter of a triangle and a rectangle is found by adding up all the sides.
6) Perimeter of triangle = 3x - 3 + 4x - 1 + 2x + 1 = 3x + 4x + 2x - 3 - 1 + 1 = 9x - 3 = 3(3x - 1)
7) Perimeter of rectangle = 2(L + B) = 2(3b +5 + 2b - 1) = 2(5b + 4)
solve this question with calculation please:
Answers
Answer:
x=80
Step-by-step explanation:
the figure depicts a pentagon.
we can use linear pair method to find x
we should find interior angles
angle E= 180-90= 90
angle D=180-60= 120
angle C=180-x
angle A= 90 given
angle B= 180-40= 140
angle sum of a pentagon = 540
by formula (n-2)180. n is the number of sides
equation= 90+120+180-x+90+140= 540
620-x= 540
620-540=x
80=x
calculate the height of an equilateral triangle with side is 8 cm long
Answers
Step-by-step explanation:
use pythagoras theorem for finding the height
hypotenuse is 8cm
base is 4 cm
height?
a^2+b^2=c^2
64-16=a^2
a=7.07cm
Height of equilateral triangle is 7.07cm
Is (x + 7) a factor of f(x) = x^3 − 3x^2 + 2x − 8? Use either the remainder theorem or the factor theorem to explain your reasoning.
Answers
Answer:
No there is a remainder of -512
Step-by-step explanation:
Divide (x+7) into (x^3 - 3x^2 + 2x - 8)
x^2-10x+72 R -512/(x+7)
According to the Factor theorem, (x+7) is not a factor of f(x) = x^3 − 3x^2 + 2x − 8.
What is remainder theorem?The theorem is as follows: A polynomial f(x) has a factor (x−p) if and only if f(p)=0.
Consider, f(x) = x^3 − 3x^2 + 2x − 8
Here, the expression we have is (x + 7), so we have to find f(-7) in order to check if (x+7) is a factor of f(x) or not
Here, p = −7
Now, lets check
f(−7)=(−343)−3(49)−14−8
f(−7)=−343−147−14−8
f(−7)=−512, which is not equal to 0 .
So, According to the Factor theorem,
(x+7) is not a factor of f(x) = x^3 − 3x^2 + 2x − 8.
Learn more about remainder theorem;
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The area of one face of a cube is 4x².
Write a simplified expression for the total surface area of the cube.
Answers
Answer:
Step-by-step explanation
The diagram shows a square. Find the length of the side of the square.
Answers
Answer:
20 centimeters
Step-by-step explanation:
A square has all sides equal.
6x - 1 = 4x + 6
6x - 4x = 6 + 1
2x = 7
x = 7/2
Plug in x as 7/2 in one of the side lengths.
6(7/2) - 1
42/2 - 1
21 - 1 = 20
Answer:
20Step-by-step explanation:
Sides of a square are always equal.
6x - 1 = 4x + 6
Move the variable to L.H.S and change its sign
6x - 4x - 1 = 6
Move the constant to RHS and change its sign.
6x - 4x = 6 + 1
Simplify
2x = 7
Divide both sides by 2
2x/2 = 7/2
X = 7/2
Again,
6x - 1
plugging the value of X
= 6 * 7/2 - 1
= 3 * 7 - 1
= 21 - 1
= 20
Hope this helps...
Plzzz help if u do both I’ll give Brainlynest
Answers
Answer:
Step-by-step explanation:
Q1; 10 units
The dotted lines separate the figure into 3 shapes - 1 square, 2 triangles.
The area of a square is s^2, where s is the side length.
The side length of the square is 2. 2^2 =4
The area of the square is 4 units.
The area of a triangle is bh/2, where b is the base and h is the height.
The base of the triangle on the left is 2 and the height is also 2. 2(2)/2 =2
The area of the left triangle is 2 units.
The triangle on the right has a base of 2 and a height of 4. 4(2) =8 /2 = 4
The area of the right triangle is 4 units.
The area of the composite figure is the area of the 2 triangles and the square added together; 4+2+4 =10
The area of the figure is 10 units.
Q2: The area of the shaded area is 44.2654825 [tex]cm^2[/tex].
The area of a circle is π[tex]r^2[/tex]. The radius of this circle is 4cm.
Therefore, the area of the circle is 16π[tex]cm^2[/tex].
The formula for area of a rectangle is length times width. The length of this rectangle is 3 and the width is 2.
Therefore, the area of the rectangle is 6 cm^2
We're looking for the area of the shaded region (area of circle- rectangle), so we subtract the area of the rectangle from the area of the circle.
16π simplifies to 50.2654825 cm^2.
50.2654825-6 = 44.2654825 cm^2
The area of the shaded area is 44.2654825 [tex]cm^2[/tex].
Explanation:
Using the formula of a trapezoid
A= ((b1 + b2) x h)/2
Find b1:
b1= 2+4+x
But we know that x should be 2 because all sides of a square is equal
Now we found b1= 2+4+2=8
And we also have b2= 2 and h=2
Now let’s put it in our equation:
A= (8+2) x 2/2
A= (10 x 2)/2
A= 20/2= 10
29. Answer: 34
Explanation:
Find the area of a circle:
A= pi x r^2
A= 3.14 x 4^2
A= 40.24
Find area of the rectangle
A= b x h
A= 3 x 2
A= 6
Now subtract the area of rectangle from the the area of the circle:
A of the shaded region= 40.24-6=34.24 which approximately 34
Use the integer tiles to find the quotient: 36 ÷ 6 = 6
Answers
Answer:
x=6
Step-by-step explanation:
Suppose x is 36÷6
x=36÷6
x=6
Answer:
36 / 6 = 6
36 = 6 * 6
36 = 36
Hope this somewhat helps!
PLEASE HELP
Choose the correct conic section to fit the equation.
X^2/16-y^2/4=1
1.Circle
2.Ellipse
3. Parabola
4. Hyperbola
Answers
Answer:
2.Ellipse
Step-by-step explanation:
The given equation represents an ellipse.
Standard form of ellipse is given as:
[tex] \frac{x^2}{a^2} +\frac{y^2}{b^2} = 1\\\\
\implies \frac{x^2}{16} - \frac{y^2}{4} = 1\\[/tex]
the outside of the silo shown below needs to be painted.the silo is 80 feet tall and has 20 foot diameter.of one gallon of paint covers 100 square feet how many gallons of paint will be needed you can ignore the doors and windows
Answers
Answer:
[tex]\approx[/tex] 57 gallons
Step-by-step explanation:
Given:
Silo needs to be painted.
Height of silo = 80 feet
Diameter of silo = 20 feet
One gallon of paint covers 100 sq ft
To find:
Gallons of Paint required to paint the outside of silo = ?
Solution:
We need to first calculate the lateral surface area(LSA) of this cylinder shaped silo.
[tex]LSA = 2\pi rh[/tex]
where r is the radius and
h is the height of cylinder.
[tex]r = \dfrac{Diameter}2\\\Rightarrow r = 10\ ft[/tex]
Putting the values in formula:
[tex]LSA = 2\times 3.14\times 10\times 80\\\Rightarrow LSA = 5024\ sq \ ft[/tex]
Total surface area of cylinder = LSA + 2 [tex]\times[/tex] Area of base
Total surface area of cylinder = LSA + 2 [tex]\times[/tex] [tex]\pi r^{2}[/tex]
TSA = [tex]5024 +2 \times 3.14 \times 10^2 = 5024 +628=5652\ sq \ ft[/tex]
100 sq ft requires number of gallons = 1
5652 sq ft requires number of gallons:
[tex]\dfrac{1}{100} \times 5652 \approx 57\ gallons[/tex]
Eurostar is a high-speed railway service connecting
London with Paris and Brussels.
In February, 350,000 passengers travelled by Eurostar.
Each train has 15 carriages and each carriage has 32 seats.
How many trains would be needed
to seat 350,000 passengers?
If all the empty seats are on
the last train, find:
the number of empty carriages
you could make;
the number of empty seats across
all the other carriages.
Answers
Answer:
730 trains would be needed to seat 350,000 passengers , 10950 carriages would be needed and 350400 seats would be required
Step-by-step explanation:
Number of carriages in 1 train = 15
Number of seats in 1 carriage = 32
Number of seats in 15 carriages =[tex]32 \times 15 =480[/tex]
So, Number of seats in 1 train = 480
Number of trains needed to seat 350,000 passengers=[tex]\frac{350000}{480}=730[/tex]
Number of carriage in 1 train = 15
Number of carriage in 730 trains = [tex]15 \times 730=10950[/tex]
Number of seats in 1 carriage = 32
Number of seats in 10950 carriage =[tex]32 \times 10950=350400[/tex]
Hence 730 trains would be needed to seat 350,000 passengers , 10950 carriages would be needed and 350400 seats would be required
The function c(n) below relates to the number of bushels of apples picked at a pick-your-own-orchard to the final cost for the apples. It takes as input the number of bushels of apples picked after paying an entry fee to the orchard, and it returns as output to the cost of the apples (in dollars). c(n)=15n+30 Which equation below represents the inverse function n(c), which takes the cost of the apples as input and returns the number of bushels as output? A) n(c)=c-15/30 B) n(c)=c+15/30 C) n(c)=c+30/15 D) n(c)=c-30/15
Answers
Answer:
D) n(c) = c/15 - 2.
Step-by-step explanation:
c(n) = 15n + 30
c = 15n + 30
15n + 30 = c
15n = c - 30
n = c/15 - 2
D) n(c) = c/15 - 2
Hope this helps!
The correct answer is option D which is n(c) = c/15 - 2.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The inverse function of the given expression will be calculated as follows:-
c(n) = 15n + 30
c = 15n + 30
15n + 30 = c
15n = c - 30
n = c/15 - 2
Therefore the correct answer is option D which is n(c) = c/15 - 2.
To know more about Expression follow
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Find the roots of the quadratic equation 2x^2-x-4 =0
Answers
Answer:
I hope it will help you...
Which of the following is the solution to the inequality below?
1
- 5x
A. X>
3
35
3
B. X<-.
35
C. X
21
O D. x
21
SUBMIT
Answers
Answer:
The correct answer is A. x > -3/35
Step-by-step explanation:
-3/2(x - 1/3) > 1/5 - 5x
-3/2x + 1/2 > 1/5 - 5x
-15x + 5 > 2 - 50x
-15x + 50x + 5 > 2
-15x + 50x > 2 - 5
35x > 2 - 5
35x > -3
x > -3/35
Hope this helped! :)
Answer: A. x > -3/35
Step-by-step explanation:
Identify the relationship (complementary, linear pair/supplementary, or vertical) and find the value of x in the image below.
Answers
Answer:
16
Step-by-step explanation:
64 = 4x
64/4 = 4x/4
16 = x
A rectangle mesures 3 cm by 6 cm Three of these rectangles are put together to make a larger rectangle. Work out the perimeter of this larger rectangle: It mesures three 3 cm tall rectangles that are both 6cm each and another one that is 6 cm tall.
Answers
Answer: 45 cm
Step-by-step explanation:
Assuming the rectangles r put together as per the attached picture.
length = 6+3 = 9 cm
Width = 3+3 = 6cm
Perimeter = 2(l+w)
P = 3(9+6)
P = 3 * 15
P = 45 cm
A square with side length c has an area of 81 square centimeters. The following equation shows the area of the square. c^2 = 81. What is the side length of the square in centimeters?
Answers
Answer:
9 cm
Step-by-step explanation:
c^2=81
Take the square root of both sides.
The square root of c^2 is c.
The square root of 81 is 9.
c=9
Answer:
C = 9 centimeters
Step-by-step explanation:
First, look at the area of a square, which formula is c^2 or in standard format - s^2. Thus, we can say, c^2 = 81. Then, we can simplify, and put c = √81. Since 81 is a perfect square, 9 * 9 = 81. Thus the answer is 9 centimeters.
Solve -25 -( -5) +(- 20)
Answers
Answer:
-40
Step-by-step explanation:
-25 -(-5) + (-20)
-25 + 5 - 20
-20 - 20
= - 40
Note that:
+ ( + ) = +
+ ( - ) = -
- ( + ) = -
- ( - ) = +
Answer:
Hello There!
~~~~~~~~~~~~~~~~~~~
-25 -( -5) +(- 20) =
-40
Step-by-step explanation: Simplify the expression.
Hope this helped you. Brainliest would be nice!
☆_____________❤︎______________☆
Having more relevant instruments... a. is a problem because instead of being just identified, the regression now becomes overidentified. b. will typically result in a more efficient TSLS estimator c. will typically result in larger standard errors for the TSLS estimator. d. May result in the TSLS being inconsistent in large samples
Answers
Answer:
d. May result in the TSLS being inconsistent in large samples
Step-by-step explanation:
Two-stage least squares (TSLS), regression analysis is a statistical technique that is used for two distinct stages of variables regression, so, when there are more relevant instruments than required, is like having a larger sample size in that the more information is available for use in the Instrumental Variables regression (IV).
a drawer contains 30 pens of various colors: 4 are black 10 are blue, 3 are red, 6 are green , 6 are blue and red and 1 white A pen having blue or red is taken out of the drawer
Answers
Answer:
Probability of blue or red = 3/10
Step-by-step explanation:
4 are black 10 are blue, 3 are red, 6 are green , 6 are blue and red and 1 .
Total = 30
Probability of having a blue = 6/30
Probability of having a blue= 1/5
Probability of a red = 3/30
Probability of a red= 1/10
Probability of a blue or a red=
Probability of blue + probability of red
= 6/30 + 3/30
= 9/30
= 3/10
0.02 × 0.3055 to 3 decimal places
Answers
Answer:
000.611
Step-by-step explanation:
0.02×0.3055
=0.00611
So in three decimal places
000.611
A conical-shaped umbrella has a radius of 0.4 m and a height of 0.45 m. Calculate the amount of fabric needed to manufacture this umbrella. (Hint: an umbrella will have no base)
Answers
Answer:
The correct answer will be "0.756596 m²".
Step-by-step explanation:
The given values are:
The radius of an umbrella,
r = 0.4 m
The height of an umbrella,
h = 0.45 m
As we know,
The lateral surface of an umbrella will be:
⇒ [tex]\pi r\sqrt{r^2+h^2}[/tex]
On substituting the values, we get
⇒ [tex]\pi \times 0.4\sqrt{(0.4)^2=(0.45)^2}[/tex]
⇒ [tex]0.756596 \ m^2[/tex]
So that the amount of fabric needed will be "0.756596 m²".