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
im almost done with this hw. plz help!!! give explanation if you actually know the answer so ik u dont just want points
Answer:
he would have a 2/5 chance because he misses or hit three so he would either miss two or hit two according to the chart
Step-by-step explanation:
sry if I'm wrong but it would be one of the most valid answers
Answer:
3/10
Step-by-step explanation:
#2, 7 and 8 are the valid 3 goal trials out of 10
14 Emma scored a 76, 90, 83, 95, 88, 96, 94, 96, 98, and 96 on her science tests last quarter. What is the mean absolution deviation of the data? Round to the nearest tenth
Answer:
the answer's 5.6
5.56 but rounded its I think 5.6
don't trust my answer.
help again . ill give you 15 points.
Write an equivalent expression for h + h + h + n + r + r + n
Answer:
h3 + r2 + n2
Step-by-step explanation:
Answer:
3h+2n+2r
Step-by-step explanation:
I believe you just combine like terms. Since there are 3 hs, 2 ns, and 2 rs, you just them all up and you get 3h+2n+2r.
I hope this helped you!
Find the sum of these polynomials.
(4x2 + 3x - 1) + (x2 - 5x - 6) =
Answer: 5x2-2x-7
Step-by-step explanation:
(4x2 + 3x - 1) + (x2 - 5x - 6)
=4x2+3x-1+x2-5x-6
=5x2-2x-7
If the product of 5 and w to the
second power is equal to the sum of 9 and k, what is the NEGATIVE value of w makes this statement true if k=-4 ?
Answer:
-√1/5
Step-by-step explanation:
If the product of 5 and w to the second power is equal to the sum of 9 and k, this is expressed as;
(5w)² = 9 + k
Given that k = -4, on substituting;
(5w)² = 9 + (-4)
(5w)² = 9-4
(5w)² = 5
25w² = 5
5w² = 1
w² = 1/5
w = ±√1/5
w = -√1/5
Hence the NEGATIVE value of w is -√1/5
Please help me answer this
An election ballot asks voters to select four city commissioners from a group of
twelve candidates. In how many ways can this be done?
Answer:
Step-by-step explanation:
C(16, 4) = 1820 ways
16
C
4 = (16x15x14x13) / (4x3x2x1)
Please Help Will Give Brainliest
Answer:
1) 70 for both of them
2) Plot A's range is 100-50 = 50, Plot B's range is 100 - 40 = 60 so Plot A has the lesser range
3) Plot B's IQR is 85 - 60 = 25, Plot A's IQR is 80 - 65 = 15 so Plot B has the greater IQR
4) A: 80, B: 85
5) A: 65, B: 60
6) 50
7) 100
8) Plot B, see #2 for work
9) 50% - 50% of data is always between Q1 and Q3
10) 25%
11) 25%
PartA: Explain why x=6makes 4x-5< 19.
Answer:
It doesn't.
Step-by-step explanation:
If you plug in 6 in the x spots you will have:
4(6)-5 < 19If you solve that, you will get:
19< 19So considering that they are the same number, this doesn't make sense because it should be an equal sign.
Have a nice day!!! Please mark Brainliest!
Find the surface area of the cylinder to the nearest hundredth.
What is the area of this trapezoid?
b2=2 in.
h = 5 in.
bi = 6 in.
Answer:
30 inches
Step-by-step explanation:
Solve for g.............
Answer:
G = 3
Step-by-step explanation:
Answer:
g=3
Step-by-step explanation:
reverse the whole question:
so all the minus would convert into an addition sign
hope that helps
please mark as brainliest if correct
have a great day/night.
thank you
19NBoli
1/2 to the power of 3
Find the 10th term of the arithmetic sequence -x + 9, 4x + 14, 9x + 19, ...
Answer:
44x + 54
Step-by-step explanation:
The nth term of an arithmetic sequence is given by :
Tn = a + (n - 1)d
d = common difference = T2 - T1
d = T2 - T1
a = first term = - x + 9
d = 4x + 14 - (-x + 9)
d = 4x + 14 + x - 9
d = 5x + 5
The 10th term:
T(10) = (-x + 9) + (10 - 1)*(5x + 5)
T(10) = - x + 9 + 9(5x + 5)
T(10) = - x + 9 + 45x + 45
T(10) = 44x + 54
Hence, the 10th term is 44x + 54
During the first week of registration, 35 people signed up for the Health Fair 5K and Fun
Run. The next week, 28 more people signed up. On the day of the race, 12 runners did not
show up. However, at the last minute 16 people came in for late registration. Which
expression shows how many people ran in the 5K and Fun Run
Answer:
The expression that shows how many people ran in the race is 35 + 28 - 12 + 16 = X, and the number of people that ran is 67.
Step-by-step explanation:
Since during the first week of registration, 35 people signed up for the Health Fair 5K and Fun Run, and the next week, 28 more people signed up, and on the day of the race, 12 runners did not show up but, however , at the last minute 16 people came in for late registration, to determine which expression shows how many people ran in the 5K and Fun Run and determine said amount, the following calculation must be performed:
35 + 28 - 12 + 16 = X
79 - 12 = X
67 = X
Thus, the expression that shows how many people ran in the race is 35 + 28 - 12 + 16 = X, and the number of people that ran is 67.
3. An artist is creating a sculpture from clay. He starts with clay in the shape of a sphere with a radius of 3 inches.
What is the approximate volume of the clay sphere the artist started with?
Answer:
Step-by-step explanation:
The volume of the clay sphere the artist started with is 113.04 in^3
What is the volume of the clay sphere?We know that the artist starts with a sphere of clay with a radius of 3 inches, and we want to find the volume of clay that he has.
Then we just need to find the volume of the sphere.
Remember that for a sphere of radius R, the volume is:
[tex]V = (4/3)*3.14*R^3[/tex]
In this case, R = 3 in, replacing that we get.
[tex]V = (4/3)*3.14*(3 in)^3 = 113.04 in^3[/tex]
The volume of the clay sphere the artist started with is 113.04 in^3
If you want to learn more about volumes, you can read:
https://brainly.com/question/9554871
Using the following data set calculate the mean 9,14,14,9,20,6,8,19,17,13,9
Answer:
12.54
Step-by-step explanation:
When finding the mean, first you add all the numbers in the data:
9+14+14+9+20+6+8+19+17+13+9=138
And then you divide it by the following numbers in the set. In this data set, since there are 11 numbers, you would divide 138 by 11.
138\11=12.5454545
So the answer would be 12.54 if your rounding to the nearest hundred. If your rounding it by a whole number, it would be 13.
The figure below has a volume of 60 cubic units. How many more cubes will it take to fill the figure?
5 cubic units
40 cubic units
55 cubic units
60 cubic units
find the surface area of the cube with 7 inches sides
Answer:
294
Step-by-step explanation:
surface area of a cube = 6* a^2
6 * 7^2
= 6* 49
= 294
QUESTION 5 of 10: Throughput is the number of units a machine or process can produce in a given time. Cycle time is the time to produce
one unit. If the cycle time of your machine is 35 seconds and it runs 24/7, what is the throughput for a year period?
O a) 901,029
Ob) 969,623
c) 1,180,336
d) 1,173,322
9514 1404 393
Answer:
a) 901,029
Step-by-step explanation:
The production volume for 1 year is ...
1 unit/(35 s) × (3600 s)/(1 h) × (24 h)/(1 day) × (365 day)/(1 year)
= 3600×24×365/35 unit/year = 901,029 unit/year
Which expression is equivalent to 5c + 3c?
the correct Number is 8c
Mackenzie thought that the basketball
team would win 16 games, but they
only won 12. What was his percent
error?
His percent error is 25% because 12 is 75% of 16. 100 - 75 = 25
Answer:
75% correct and 25%error
Step-by-step explanation:
As 12÷16×100=75%
The error =100-75=25%
Find the area of each figure. Round to the nearest tenth if necessary
Answer:
c. 143.8 m³
Step-by-step explanation:
The figure can be decomposed into a semicircle and a trapezoid
Area = area of semicircle + area of trapezoid
= ½(πr²) + ½(a + b)h
Where,
r = ½(9) = 4.5 m
a = 9 m
b = 23 m
h = 7 m
Area of the figure = ½(π*4.5²) + ½(9 + 23)7
Area of the figure = 31.81 + 112
= 143.8 m³
A) 121
B) 102
C) 141
D) 115
Answer:
121
Step-by-step explanation:
cause if its on the oppsite side its going to be the same number
An employee at the metropolitan museum of art surveyed a random sample of 150 visitors to the museum. Of those visitors, 45 people bought food at the cafeteria.Based on those results, how many people out of 1750 visitors to the museum would be expected to buy food for the cafeteria? NO LINKS!
Answer:
525 will the answer
Step-by-step explanation:
what is the function value of f(5) if f(x)=3x-2
Answer:
13
Step-by-step explanation:
If you plug in 5 for x you get...
f(5)= 3(5) - 2
f(5)= 15 - 2
Therefore, f(5) = 13
Answer:
f(5)=13 <- really the right answer this time haha
Step-by-step explanation:
f(5)=3(5)-2
=15-2
=13
The diagram shows the length and width of two boxes of flowers. The length and width of the two boxes of flowers are proportional. What is the length, in inches, of the smaller box of flowers?
Answer:
I sont know
Step-by-step explanation:
Answer:
4 inches
Step-by-step explanation:
since 5 is half of 10, 4 is half of 8.
What is the median for the set of data shown below 45 23 16 78 24
distance between the points (-4,-2) and (6,-2)
Answer:
Distance is 10 units.
Step-by-step explanation:
Use distance formula to find the distance.