Answer:
300 cars must be made to minimize the unit cost
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
[tex]f(x) = ax^{2} + bx + c[/tex]
It's vertex is the point [tex](x_{v}, y_{v})[/tex]
In which
[tex]x_{v} = -\frac{b}{2a}[/tex]
[tex]y_{v} = -\frac{\Delta}{4a}[/tex]
Where
[tex]\Delta = b^2-4ac[/tex]
If a>0, the vertex is a minimum point, that is, the minimum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].
The cost of producing x cars is given by:
[tex]C(x) = 0.7x^2 - 420x + 81610[/tex]
So a quadratic equation with [tex]a = 0.7, b = -420, c = 81610[/tex]
How many cars must be made to minimize the unit cost?
This is the xvalue of the vertex. So
[tex]x_v = -\frac{b}{2a} = -\frac{-420}{2*0.7} = \frac{420}{1.4} = 300[/tex]
300 cars must be made to minimize the unit cost
Given that A'B'C' is the image of ABC under a reflection, enter that equation of the line of reflection.
Answer:
sooooo
Step-by-step explanation:
Please help me
X*1+ x/1
Pick one of these
x
1
2x
1+x
Answer:
2x
Step-by-step explanation:
x*1 is x
x/1 is also x
x+x=2x
Find the missing lengths!!!!!!!
Answer:
13
Step-by-step explanation:
It is a square so the length of 1 side = [tex]\sqrt{169}[/tex] = 13
help me......................
Answer:
a
Step-by-step explanation:
thomas has 12 more marbles than twice the number of marbles Andrew has.
Andrew has x marbles. which expression represents how many marbles thomas has?
A. x + 2 + 12
B.x+12(2)
C.2x+12
D.2(x+12)
Answer:
A.
x + 2 + 12
Step-by-step explanation:
Thomas (t) = Andrew (x) * 2 + 12
Given = x= [b a 4 a ] Y =[c d a b] and z = [a c 16 b] What is Y if x-2y=Z?
Answer:
a [2, -4, -6, -2]
Step-by-step explanation:
The calculated value of the matrix Y is : Y = [tex]\left[\begin{array}{ccc}2&-4\\-2&-6\end{array}\right][/tex]
What is matrix?In mathematics, a matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object.
Here, we have,
Calculating the matrix Y
From the question, we have the following parameters that can be used in our computation:
Given that
X - 2Y = Z
So, we have
b - 2c = a
a - 2d = c
4 - 2a = 16
a - 2b = b
So, we have
4 - 2a = 16
-2a = 12
a = -6
Next, we have
a - 2b = b
-6 - 2b = b
3b = -6
b = -2
Next, we have
b - 2c = a
-2 - 2c = -6
-2c = -4
c = 2
Lastly. we have
a - 2d = c
-6 - 2d = 2
-2d = 8
d = -4
The matrix Y is given as: Y =[c d a b]
So, we have
Y = [tex]\left[\begin{array}{ccc}2&-4\\-2&-6\end{array}\right][/tex]
Read more about matrix at
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rachel has 4 notebooks.Her mother gives her n notebooks.she wants to use the same number of notebooks in each of her 7 classes. which expression shows the number of notebooks rachel will use for each class?
A.n+4/7
B.4÷7/n
C.4n+7
D.4+n+7
Answer:
i think its b
Step-by-step explanation:
An initial amount of money is placed in an account at an interest rate of 3% per year, compounded continuously. After six years, there is $1819.77 in the account. Find the initial amount placed in the account. Round your answer to the nearest cent.
Hi
Let's call X the amount in the beginning.
we have X*1.03^6 = 1819.77
X = 1819.77 / 1.03^6
X ≈ 1524.03
which one is bigger ₃₄₅ 1
Answer:
1 is bigger
Step-by-step explanation:
Please help Due in 3 Min!
Salaries for various positions can vary significantly, depending on whether or not thecompany is in the public or private sector. The U.S. Department of Labor posted the2007 mean salary for human resource managers employed by the federal governmentas $76,503. Assume the annual salaries for this type of job are normally distributedand have a standard deviation of $8850.a)What is the probability that a randomly selectedhuman resource manager received over $100,000in 2007?
Answer:
0.0039 = 0.39% probability that a randomly selectedhuman resource manager received over $100,000 in 2007.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 76503, standard deviation of 8850.
This means that [tex]\mu = 76503, \sigma = 8850[/tex]
a)What is the probability that a randomly selected human resource manager received over $100,000 in 2007?
This is 1 subtracted by the pvalue of Z when X = 100000. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{100000 - 76503}{8850}[/tex]
[tex]Z = 2.66[/tex]
[tex]Z = 2.66[/tex] has a pvalue of 0.9961
1 - 0.9961 = 0.0039
0.0039 = 0.39% probability that a randomly selectedhuman resource manager received over $100,000 in 2007.
A:12 B:11 C:15 D:16. I need help
Answer:
B
Step-by-step explanation:
B is the only option between 0, 10 and 12, 1
List all of the factors of 64. (Type the factors in numeric order from smallest to largest. Separate each factor with a comma and a
space after the comma.)
The solution is
I
Submit
Pass
Save and close
Don't know answer
ne web and Windows
Answer:
{1,2,4,8,16,32,64}
Step-by-step explanation:
1×64=64
2×32=64
4×16=64
Evaluate 2x – 5y for x = 3 and y = –9.
Answer:
-2 or 2 i cant find the hole thing
Step-by-step explanation:
Find the area of the following
trapezoid:
8 cm
5 cm
4 cm
16 cm
A = [?] cm2
PLEASE HELP
Answer:
48 cm²
Step-by-step explanation:
Area of trapezoid = [tex]\frac{a + b}{2}[/tex] × h
Area = (8 + 16)/2 x 4
Area = 24/2 x 4
Area = 12 x 4
Area = 48 cm²
Solve the following equation: 8x + 6 + 3x - 4
Please hurry.
Answer:
A
Step-by-step explanation:
x = -2
Answer:
x=-2
Step-by-step explanation:
I would put steps, but it sounds like your in a hurry, so there is the answer, if you want, I can put the steps in the comments
But yeah
If that helps, plz mark brainiest, i'm almost leveled up :3
Thanks!
an object is launched at 4 ft./s from 88 foot tall platform the objects height H in feet after T seconds is given by the equation H=-16T^2+8t+80 when does the object strike the ground
Answer:
1.5seconds
Step-by-step explanation:
When the ball hits the ground, the height is equal to zero. So find t when H=0:
H=16t²+8t+80
0=16t²+8t+80
0=2t²+t+10
0=(2t-3)(t+2)
So (2t-3)=0, or (t+2)=0
So t=1.5 or t=-2. Time can't be negative though, so we take our answer as 1.5seconds
A shoe box has a volume of 693 cubic inches. The area of the base of the shoe box is 126 square inches. What is the height of the shoe box in inches?
Answer: 5.5
volume formula:
v = bh
693 = 126h
h = 5.5
HELPP ME IM FAILING IN MATH
Answer:
-2, 4
Step-by-step explanation:
a parallelogram is a shape that's lines will never cross, putting the 4th plot there would make that true
Answer:
Plot (-3,5)
I hope this is right ; -;
I NEED THIS DONE NOW I'VE BEEN ON IT ALL DAY
Q5 is 115. Hope this helps! :) ✨
I can't see the numbers on Q6 sorry :((
what is the distance between -8 and 535 on a number line
Answer:
527
Step-by-step explanation:
because i did it in the calculator
A survey of Mrs. Ramirez's students showed that 30
students will have pizza fonlunch, 17 will have macaroni
and cheese, 12 will have a hamburger, and 5 will have
chicken fingers. Suppose Mrs. Ramirez surveys all 1 200
students in the school. How many students can she
expect to choose hamburgers for
Hunch?
Answer: 480
Step-by-step explanation:
We can create a ratio for this!
We have:
[tex]\frac{number of hamburgers}{total students}[/tex]= [tex]\frac{new number of hamburgers}{new number of students}[/tex]
We can use substitution to input the information we already know:
[tex]\frac{12}{30}[/tex] = [tex]\frac{x}{1200}[/tex]
Using cross multiplication, we get:
1 200(12) = 30x
14,400 = 30x
[tex]\frac{14,400}{30}[/tex]=[tex]\frac{30x}{30}[/tex]
x = 480
Hope this helps! :)
The number of students expect to have hamburgers for lunch is 225 students.
What is a word problem?
A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
Mrs. Ramirez's survey on students
Number of students have pizza = 30
Number of students have macaroni and cheese = 17
Number of students have a hamburger = 12
Number of students have chicken fingers = 5
Total number of students = 64.
Now, Mrs. Ramirez surveys all 1 200 students.
Then number of students expect to choose hamburgers for lunch can be found by,
[tex]\frac{Number of students have hamburgers}{Total number of students} = \frac{Number of students expect to have hamburgers}{ Total number of students}[/tex]
Let x be the number of students expect to have hamburgers.
⇒ [tex]\frac{12}{64}=\frac{x}{1200}[/tex]
⇒ [tex]x=\frac{(12)(1200)}{64}[/tex]
⇒ [tex]x=225[/tex]
Hence we can conclude that the number of students expect to have hamburgers for lunch is 225 students.
Learn more about word problems here
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What are the graphs vertex ?
Part A: The area of a square is (16x^2 − 8x + 1) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work.
Part B: The area of a rectangle is (81x^2 − 4y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work.
Answer:
Step-by-step explanation:
hello :
here is an solution
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Lesson 5.16 - Problem Solving with Mixed Numbers (D)
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Problem Solving with Mixed Numbers
Jada made 3 1/6gallons of lemonade. Jada served 5/6
gallon to her friends.
How much lemonade does Jada have left?
Enter your answer as a mixed number in simplest form by filling in the boxes.
Answer:
Try Reasearching it! I hope you have a fantastic day/night ;-;
Step-by-step explanation:
What is the surface area in square centimeters of the figure shown below?
11 cm
6 cm
4 cm
Answer:
268 cm²
Step-by-step explanation:
Surface area = (front + back + left side + right side + top + bottom) areas
since pairs of areas are the same (front back, left rigth, top bottom)
Surface area = (2 · front + 2 · left side + 2· top) areas
= 2 · 11 · 4 + 2 · 11 · 6 + 2 · 4 · 6
= 268 cm²
Any tips for a gaming addicted brother? :-/
Answer:
Step-by-step explanation:
I would take his phone for a bit and also reduce screen time to 6 hours a week at MOST. It would help a lot.
John shared 3 cookies with 4 friends. What fraction of a cookie did each friend receive?
Answer:
3/4 of a cookie
Step-by-step explanation:
Which rectangular equation represents the parametric equations x = 3t Superscript one-half and y = 6t?
y = 2x2, for x ≥ 0
y = Two-thirdsx2, for x ≥ 0
y = 54x2, for x ≥ 0
y = StartFraction 1 Over 54 EndFractionx2, for x ≥ 0
Answer:
B
Step-by-step explanation:
I got it right
Answer:
Its b
Step-by-step explanation:
1/2 to the power of 3
