Answer:3
Step-by-step explanation:
A vehicle factory manufactures cars. The unit cost C(the cost in dollars to make each car) depends on the number of cars made. If x cars are made, then the unit cost is given by the function C(x)=0.7x^2-420x+81,610. How many cars must be made to minimize the unit cost? Do not round your answer.
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
ZABC and ZQRS are supplementary angles.
If the measure of ZABC = 41°, what is the
measure of ZQRS?
MZQRS = [?]
Answer:
Solution given:
<ABC+<QRS=180° (supplementary)
m<QRS=180°-41°=139° is your answer
calculate the reciprocal of -0.07 correct to 1 decimal place
Answer:
-14.3
Step-by-step explanation:
Use a calculator.
1/(-0.07) = -14.2857...
Answer: -14.3
a rectangle with an area of 4/7m^2 is dilated by a scale factor of 7 what is the area of the dilated rectangle enter your answer in the box do not leave answer as a fraction
9514 1404 393
Answer:
28 m²
Step-by-step explanation:
The area of the dilated figure is the original area multiplied by the square of the dilation factor.
A' = 7²×A
A' = 49×(4/7 m²) = 28 m²
The area of the dilated rectangle is 28 m².
pls help
round to the nearest tenth, if needed.
Answer:
[tex]\pi[/tex] or 3.1
Step-by-step explanation:
The total area of the circle is [tex]3^2\pi[/tex]. The central angle of the shaded region is 40 degrees so we have to multiply [tex]3^2\pi[/tex] by [tex]\frac{40}{360}[/tex] or [tex]\frac{1}{9}[/tex]. 3 squared is 9 so 9[tex]\pi[/tex] times [tex]\frac{1}{9}[/tex] is just equal to [tex]\pi[/tex]. [tex]\pi[/tex]=3.14159265... rounded to the nearest tenth is 3.1
Which of the following sentences is true?
•82.349 is less than 82.347.
•5.324 is less than 5.314.
•20.544 is greater than 20.844.
•19.532 is greater than 19.522.
Answer:
The last one
19.532 is greater than 19.522
Step-by-step explanation:
Questions and answers attached
Answer:
(3)(c) + 43 ≥ 100
Step-by-step explanation:
Given:
Total number of friends = 3 friends
Number of card already have = 43
Total number of card at least want to collect = 100
Find:
Inequality
Computation:
Assume;
Same number of card each friend collect = c
Total number of card at least want to collect ≤ (Total number of friends)(Same number of card each friend collect) + Number of card already have
Total number of card at least want to collect ≤ (3)(c) + 43
100 ≤ (3)(c) + 43
(3)(c) + 43 ≥ 100
Find the area of the shaded region and choose the appropriate result.
Answer:
B) 12 cm²
Step-by-step explanation:
find area of shaded region, which is 4x4, or 16 cm² then subtract out the area of the unshaded region, which is 2x2, or 4 cm²; you get 12 cm²
Solve for y. Take you time
Answer:
equation ?
Step-by-step explanation:
where is the equation
A standard bathtub holds 60 gallons of water. A full tub drains 12 gallons per minute. Which of the following tables best represents the situation?
J.
x represents the minutes and y shows how many gallons over that time.
The correct table for best represents the situation is shown in Table J.
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
A standard bathtub holds 60 gallons of water.
And, A full tub drains 12 gallons per minute.
Now, From table J;
Rate of change is,
⇒ (24 - 12) / (2 - 1)
⇒ 12 / 1
⇒ 12 gallons per minutes
Which is given in situation.
Thus, The correct table for best represents the situation is shown in Table J.
Learn more about the equation of line visit:
https://brainly.com/question/18831322
#SPJ2
Jon makes a map of his neighborhood for a presentation. The scale of his map is 1 inch:125 feet, however Jon realizes that his map is far too small. He decides to make his map 5 times as large. What would be the new scale to the larger map?
A 12-pound bag weighs more than a 200-ounce bag. True or false
Answer:
false
Step-by-step explanation:
200oz= 12.5 pounds
Answer:
false
Step-by-step explanation:
12 pound=192 ounces
Please help me i have no clue what the answer is :?
Answer:
1. Yes
2. They could change the 60° angle into a different one.
Step-by-step explanation:
1. Two triangles are the same if they share two side lengths with the same angle between them.
2. Since the triangles are equal if they share two side lengths with the same angle between them, if they changed the angle between 3 and 5, it'd no longer be the same triangle.
Which is NOT true?
+
A.
5 + 14 = 20.- 1
B.
9 + 5 = 7 + 7
15 = 4 + 11
D.
15 - 9 = 9-4
What’s the answer
Answer:
D. 15 - 9 = 9-4
Step-by-step explanation:
Thank You :3
Answer:
D
Step-by-step explanation:
2. Which of the following congruence statements is true?
(A) A = B
(B) CE = DE
(C) AED = CEB
(D) AED = BEC
GEOMETRY
Answer:
D)
hope it helps..........
Answer:
D is the correct answer
hope it is helpful to you ☺️☺️☺️
Solve for x. Show or explain your work. Then, verify that your solution is correct. 5(2 + 5) = 6 − 10 –
ppppp)is dilated from the origin by scale factor r to the world
Plz help me well mark brainliest!
Answer:
9:59
Step-by-step explanation:
Answer:
C) 9:59
Step-by-step explanation:
Now 9:29
in 30 min 9:59
Please help!!
Find the coordinates of the vertex of the following parabola algebraically. Write your
answer as an (x, y) point.
y = 4x + 56x + 192
Answer:
The vertex of the parabola = (-7 , -4)
Step-by-step explanation:
Step(i):-
Given that the parabola y = 4 x² + 56 x +192
y = 4 (x² + 14 x + 48 )
y = 4 ( x² + 2 × 7 (x) + 49-1)
y = 4 ( x² + 2 × 7 (x) + 49)- 4
we apply the formula
(a +b)² = a² + 2ab + b²
y = 4 ( x + 7 )² - 4
Step(ii):-
The general form of the parabola in algebraically
y = a ( x-h)² +k
The equation
y = 4 ( x + 7 )² - 4
y = 4 ( x-(-7))² - 4
The vertex of the parabola (h,k) = (-7 , -4)
Final answer:-
The vertex of the parabola = (-7 , -4)
Find the area of the sector.
Answer:
359.1887600604 so D should be right
ANSWER IMMEDIATELY! GIVING BRAINLIEST !!
Answer:
B.
Hope It help
Step-by-step explanation:
Brainliest p please
What is the answer please help no links I will report
Answer choices
Five days
Four days
Six days
1. Given sin B = 5/13 in QII, and (6.-8) is on the terminal side of a find the exact value of
sin(a + b).
Answer:
Step-by-step explanation:
that's difficult dude I'm just in grade 4
Hurry The mass of a standard hockey puck
must be at least 156 grams. What is
this weight in kilograms
Answer:
.156 kg
Step-by-step explanation:
The conversion from grams to kilograms is kg = g/1000
156/1000 = .156
6 x (36÷12)2 + 8 = =
6*(36/12)2+8
=44
Hope this helped :T
Answer: 44
Step-by-step explanation: PEMDAS tells us to solve what’s in the parentheses, exponents, then multiply, divide, add, and subtract from left to right.
PLS HELP I NEED THIS IN 3 HOURS PLS DO NOT GIVE ME A LINK FOR AN ANSWER
A triangle scarf has an area of 70 square inches. The height of the triangle is 8 inches. Write and solve an equation to find the length of the base of the triangle.
A parallelogram-shaped window has an area of 18 1/3 square feet. The height of the window is 3 feet. What is the length of the base of the window?
Answer:
Step-by-step explanation:
as Area of triangle is=1/2 base*height
Given
area=70
height=h=8
base lenght=?
put values in above formula for unkown
70=1/2 (8*b)
70=4*b
b=70/4
b=17.5 units
What is the statement written as an equation
Answer:
3x+2=17 is the equation and x=5
Step-by-step explanation:
Answer:
Equation: 2 + 3x = 17
x = 5
Step-by-step explanation:
2 more than means: 2 +
3 times a number means: 3x
Is 17 means: = 17
Combine them all together:
2 + 3x = 17
Find x:
2 + 3x = 17
3x = 17 - 2
3x = 15
x = 5
The product of a number and 5 increased by 12 is 42. What is the number?
Answer:
6.
Step-by-step explanation:
6×5 = 30 (product=multiplication)
30+12=42 (increased=addition)
So, the answer is 6.
What quantity could go into the blank to make the equation a true statement? 5a + a + ___ = 10a
Answer:
[tex]4a[/tex]
Step-by-step explanation:
Just like addition.
madyson has 2 vases of flowers. Each vase has 6 flowers. Madyson must divide the flowers equally into three vases. how many flowers will be in each vase?
someone help me answer this
Answer:
51cm is the answer.
Step-by-step explanation:
a = ?
b = 68cm
c = 85cm
According to the Pythagoras theorem,
a² + b² = c²
a² + 68² = 85²
a² + 4624 = 7225
a² = 7225 - 4624
a² = 2601
a = 51cm
∴ the porch is 51cm tall.