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
geometry homework!!
A cylinder is shown below.
Answer: 244. 92 cm
Step-by-step explanation:
The surface area formula for a cylinder is written as SA = 2πrh + 2πr^2
The dimensions of the cylinder has a length of 6 cm diameter and a height of 10 cm. Radius is basically half of the diameter, so 3 cm. We use these numbers to substitute into the formula.
SA = 2π(3)(10) + 2π3^2
SA = 2π(30) + 2π(9)
SA = 60π + 18π
SA = 78π
SA = 245.044 cm
244.92 is close enough to 245.004, so 244.92 is the answer.
35
What number is not part of the solution set to the inequality below?
w – 10 < 16
А
11
B
15
C
26
D
27
Answer C
steps
deduct 10 from 26
26-10 which will give us 16
An athlete throws her javelin 9.5 yards. She throws it this distance 2 times. How far does she throw the javelin in total? No links
Answer:
19 yards
Step-by-step explanation:
Because 9 + 9 is 18 and .5 + .5 is 10 which would equal 19 yards
So the athlete threw 19 yards. Its basically like 9 x 9 = 18 + .10 =
Hope this helps
Avery has a job where she has a take home salary each month of 1200. If Avery wants to spend no more then 25% of her monthly take home salary on rent , how much can she afford?
Answer:
She can only spend 300 of her monthly salary on rent.
Step-by-step explanation:
A college lecture hall has 15 rows of seats. The first row has 18 seats the next row has 20 seats, and the third row has 22 seats.
How many seats are in the last row?
Write the rule for the number of seats in the nth row.
Answer:46, f(n)=2x+16
Step-by-step explanation:
1=0+18
2=2+18
3=4+18
4=6+18
f(n)=2x+16
f(15)=30+16=46
When evaluating special offer decisions, management should consider: (Check all that apply.)
Answer:
Incremental Costs.
Available Capacity.
Incremental Revenues.
Existing sales.
Step-by-step explanation:
PLEASE HELP UH 15 POINTS?
Answer:
A.
Step-by-step explanation:
4x4x6=96
2x4x6=48
48+96=144
Answer:
A) 144 cube units
Step-by-step explanation:
4 x 4 x 6= 96cube units
8 x 6= 48 cube units
48+96=144 cube units
Find the midpoint between the following two points
(5, 10), (25, 8)
Answer:
(15,9)
Step-by-step explanation:
let [tex]x_{1}=5, x_{2}=25, y_{1}=10, y_{2}=8\\[/tex]
where the formula of the midpoint is ([tex]\frac{x_{1}+x_{2} }{2} ,\frac{y_{1}+y_{2} }{2}[/tex])
so, ((5+25)/2, (10+8)/2)
Thus, (15,9)
HELP! WILL GIVE BRANLIEST!
Answer: I believe it is 108 good luck girl
In the school band, 8/24 of the members play the trumpet. In simplest form, what fraction of the band plays the trumpet?
The measure of an angle is 67º. What is the measure of its complementary angle?
Answer:
see explation
Step-by-step explanation:
# complementary angles are those angles which are formed when 90° is substracted from the given degree of angle.
so here,given angle is 67°
complementary angle of 67° = 90°- 67°
= 23°
please mark me as brainlist.
Find the value of X if you understand this please answer
Answer:
H sin theta = X where H = 600 and theta is 36 by alternate interior angles
X = 600 sin 36 = 353
Ramona wants to buy cheese pizza for her family and friends gathering. She stops buy nine wonders pizza and figures out that they have four sizes
Answer:
????
Step-by-step explanation:
We need more information to help figure out the answer! Otherwise, I do understand it so far! :)
Answer:
she should just buy the best one
Step-by-step explanation:
7.10; 7.1F)
4. The diagram below shows a triangle.
15 in.
12 in.
6 in.
A student drew a similar triangle using
a scale factor of The perimeter of
the student's triangle was
A 11 in.
29 in.
B 22 in.
D 33 in.
Answer:
..............
Step-by-step explanation:
....................
Julie made some hot chocolate by mixing 1 1/4 cups of milk with 1/2 tablespoons of cocoa. How many cups of milk Julie uses for 1 tablespoon of cocoa?
Answer:
2 2/4
Step-by-step explanation:
Since 1/2 of tablespoon of coca can make 1 1/4 cup of milk...
1 1/4 + 1 1/4 = 2 2/4
Find the area of the figure.
Answer:
25
Step-by-step explanation:
Angela bought two pairs of shoes for a total of $138$ The difference in the price of shoes was $42. How much was the more expensive pair of shoes? Use systems of equations to solve. You must use substitution to solve
Answer:
$90
Step-by-step explanation:
Variable x = Less Expensive Shoe
Variable y = More Expensive Shoe
Set up equations:
x + y = 138
x + 42 = y
The problem says to use substitution to solve, meaning we must substitute one variable for a different value. I will substitute variable y in the first equation for x + 42 as this equals y in the second equation.
x + x + 42 = 138
Combine like terms
2x + 42 = 138
Subtract both sides by 42 to isolate variable x
2x = 96
Divide both sides by 2 to isolate variable x
x = 48
Substitute variable x for 48 and solve for y. I will use the second equation for this.
48 + 42 = y
Combine like terms
90 = y
I defined y as the more expensive pair of shoes. Since the problem only asks for the price of the more expensive shoes, the answer is $90.
Help me .......is urgent ,,,,,The point-slope equation for a given line may look different than the slope-
intercept form, but they will simplify algebraically to the same equation.
A. True
B. False
Awnser- True
because the point slope is intercepted
HELP NOW WHOEVER ANSWERS FIRST WILL GIVE BRAINLYIST
Answer:
c
Step-by-step explanation:
use the pythagorean theorem
Answer:
Its 8
I know this because its bigger than 7 and it cant be 9
(1/6)^p = 36^3 x 6^18. What is the value of p?
Answer:
Step-by-step explanation:
(1/6)^p=36^3×6^18
[tex](\frac{1}{6}) ^p=(6^2)^3 \times 6^{18}\\\frac{1}{6^p} =6^{2 \times 3} \times 6^ {18}\\6^{-p}=6^6 \times 6^{18}\\=6^{6+18}\\=6^{24}\\-p=24\\p=-24[/tex]
Can someone please give me the answers to both I will mark u brilliant
Answer:
I believe it is [tex]8 units^{2}[/tex]
Answer: The area is 9 units2.
Step-by-step explanation:
A= lw
A= 2*3
A=6
A= b*h*1/2
A= 2*3*1/2
A=3
6+3=9
Which value of m makes the equation true?
8+m=27
Hurry I need an answer!!!!
Answer:
19
Step-by-step explanation:
given that 8 + m = 27
we need to find m
we can do this by isolating the variable using inverse operations
8 + m = 27
we want to get rid of the 8 in 8 + m
The opposite of addition is subtraction
So we want to subtract by 8 but remember what ever we do to one side we want to do to the other side
So we subtract 8 from each side
8 - 8 cancels out
27 - 8 = 19
we're left with m = 19
A triangle has angles measuring 58 and 93 degrees. What is the measure of the third angle?
GIVING OUT BRAINLIEST ANSWER !! PLS HELP ME OUT !! (last minute)
Answer:
A, 32 degrees, hope this helps !! :D
Step-by-step explanation:
Translate the phrase into an algebraic expression.
Twice w
Answer:
2w
Step-by-step explanation:
How many minutes are there between 15 minutes past 10 and 25 minutes to 11am?
Answer:
20 minutes
Step-by-step explanation:
15 minutes past 10 is 10:15
25 minutes to 11 am is 10:35
(60-25=35)
35-15=20
The cost of dell personal computer is $40less than the cost of a gateway computer, while and epson computer cost $70 more than a gateway. If an order of three gateways, one dell and three espoused total $6820, what is the cost of each type of computer?
Answer:
Hiii I am srry I dont know the answer but have a nice day!!
Step-by-step explanation:
During a flu epidemic, 35% of the school's students have the flu. Of those with the flu, 90% have high
temperatures. However, high temperatures are possible for people who do not have the flu. It is estimated that
12% of those without the flu have high temperatures.
If a student has a high temperature, what is the probability that the student has the flu?
Answer: 0.8015
Step-by-step explanation:
Let F= event that a person has flu
H= event that person has a high temperature.
As per given,
P(F) =0.35
Then P(F')= 1- 0.35= 0.65 [Total probability= 1]
P(H | F) = 0.90
P(H|F') = 0.12
By Bayes theorem, we have
[tex]P(F|H)=\dfrac{P(F)\timesP(H|F)}{P(F)\timesP(H|F)+P(F')\timesP(H|F')}\\\\=\dfrac{0.35\times0.90}{0.35\times0.90+0.65\times0.12}\\\\=\dfrac{0.315}{0.315+0.078}\approx0.8015[/tex]
Required probability = 0.8015
Damian is trying to pick out an outfit for the first day of school. He can choose from 3 pairs of pants, 5 t-shirts, 8 sweaters or hoodies, and 5 pairs of shoes. How many different outfits does Damian have to choose from? (Don't answer if you don't know and no bots with the fake links pls)
Answer:
64 outfits I think.
Step-by-step explanation:
The number of the different outfits do Damian have to choose is 600.
What are permutation and combination?A permutation is an act of arranging the objects or elements in order.
Combinations are the way of selecting objects or elements from a group of objects or collections, in such a way the order of the objects does not matter.
Different outfits do Damian have to choose, will be;
⇒3C₁×5C₁×8C₁×5C₁
⇒3×5×8×5
⇒600
Hence,the number of the different outfits do Damian have to select is 600.
To learn more about the permutation and combination, refer:
https://brainly.com/question/13387529
#SPJ2
What is the Volume of the cylinder? (no links pls!)
lol the answer is 3