Answer:
330 enginesStep-by-step explanation:
If the unit cost is given by the function C(x)=0.5x^2-330x+65,738 where x is the amount of engines made while C(x) is the unit cost. In order to know the amount of engine needed to minimize the cost;
we will first find dC/dx and equate the resulting function to zero to get x.
dC/dx = 2(0.5)x - 330
dC/dx = x - 330
since dC/dx = 0
x - 330 = 0
x = 330 (critical point)
Then find the second derivative to check if it is greater than zero.
d²C/dx² = 1
Since d²C/dx² > 0, then the cost will be at the minimum when x = 330
Substitute x = 330 into the modeled function;
C(330)=0.5(330)^2-330(330)+65,738.
C(330)= 54,450-108,900+65,738.
C(330)= -54,450+65,738.
C(330)= 11,288
Hence the amount of engines that must be made to minimize the unit cost is 330 engines and the unit cost at the minimum price is 11,288
what is the slope plss helpp
Answer: m = 5/2
..............................
Answer:
C: 5/2
Step-by-step explanation:
I looked it up on Math-way
If angle EOF = 26 and angle FOG = 38., then what is the measure of angle EOG? The diagram is not to scale.
Answer:
EOG is 64
Step-by-step explanation:
We can have a diagram for this.
From the description in the question, we can see that the ray FO splits the angle into 2.
We can have the diagram as shown in the attachment;
So mathematically;
EOG = EOF + FOG
So EOG = 26 + 38
EOG = 64 degrees
Please check attachment for a diagram
I NEED HELP WILL MARK YOU BARIN LISR PLEASE SHOW YOUR WOrk
[tex]1/10^{3}[/tex]
in order to do this you flip it or do the reciprocal and make your exponent positive
I need to do this now
Answer:
4.55294117. If you want it rounded look below.
Step-by-step explanation:
-Rounded-
Hundredths:4.55
Tenth: 4.6
Thousandth: 4.553
Whole Number: 5
Hope this helps. :D
plz help will give brainliest
Answer:
the right is the answer :>
Step-by-step explanation:
using the point on the line and it’s slope, find the y-intercept (b) of the line (-7,-9) ; slope: -9
Answer:
y intercept=-9
Step-by-step explanation:
1 Write an equation in slope-intercept using the two-given input-output pairs. (3,9) (5,17)
Given a∥b and m∠8=109° .
What is m∠3 ?
Answer:
image is not very clear
Step-by-step explanation:
m∠3 = 180 - 108
m∠3 = 71°
or
m∠8 ≅ m∠3 = 109°
I need help with this ?
Answer:
C
Step-by-step explanation:
[tex]f(x)=4(5)-11\\f(x)=20-11\\f(x)=9[/tex]
<3
Red
Answer:
9
Step-by-step explanation:
f(x)= 4×5 - 11
you plug in the 5
4×5=20
20-11
= 9
how do we get x+2=6 from 3x+6=18 solve for x and explain how we get that equation
Answer:
Step-by-step explanation:
Subtract 6 from 18. 3x=18. You could divide by 3 to get x=6
If angle x is the reference angle, which side is the opposite side
I am so dumb i want to cry help me
Answer:
45°
Step-by-step explanation:
was this the last one?
5. mx + b = c solve for x
Answer:
To solve this, first find the equation of our line. The form of the question gives it to us very directly. We can use the slope-intercept form (y = mx + b). The x-intercept is found by setting y = 0To solve this, first find the equation of our line. The form of the question gives it to us very directly. We can use the slope-intercept form (y = mx + b). The x-intercept is found by setting y = 0, because that will give us the x-value at which the line crosses the x-axis.
To solve this, first find the equation of our line. The form of the question gives it to us very directly. We can use the slope-intercept form (y = mx + b). The x-intercept is found by setting y = 0, because that will give us the x-value at which the line crosses the x-axis.
, because that will give us the x-value at which the line crosses the x-axis.
Step-by-step explanation:
To solve this, first find the equation of our line. The form of the question gives it to us very directly. We can use the slope-intercept form (y = mx + b). The x-intercept is found by setting y = 0, because that will give us the x-value at which the line crosses the x-axis.
simplify -5x+11x-4+2
The temperature in Juno, Alaska was 15 degrees at 7am. The temperature dropped 12 degrees every hour for 4
hours. What was the temperature at 11am?
bakit di ako crush hahahsjdhdjdnshsksb
Answer:
Yes
Step-by-step explanation:
A bag contains 5 red, 5 blue, 4 green, and 2 yellow marbles. Find the probability of randomly choosing: a green then yellow (independent)
a.3/8
b.1/16
c.1/30
d.1/36
Answer:
1/16
Step-by-step explanation:
you need to add it to have a correct answer
I NEED HELP KAKAJJAJS
Rewrite the equation into slope intercept form. y - 4 = 1/5 (x - 5)
Answer:
y = 1/5x + 3
Step-by-step explanation:
y - 4 = 1/5(x - 5)
y - 4 = 1/5x - 1 Distribute numbers to parenthesis
y = 1/5x + 3 Add 4 to both sides
Find the mode of the set of data 59,61,54,61,38,46,56,52,63,40,44
Step-by-step explanation:
Mode= Most frequently occurred data
61 occurred 2 times in the given set of data
Mode=61A farmer grows 142 Green pepper plants and 100 a red pepper plants each plant produces about 26 peppers the farmer plans to sell each pepper for three dollars explain to find a reasonable estimate for the total amount of money the Farmer will earn if he sells all of the peppers
Answer:
$18876
Step-by-step explanation:
Given : 142 green pepper plants & 100 red pepper plants, each plant produces 26 peppers, each pepper sells for $3.
Total Peppers = Total pepper plants x peppers per plant
(142 + 100) x 26 = 242 x 26 = 6292
Total expected money income estimate = Total peppers x price per pepper
= 6292 x 3 = 18876
Select which function whose graph is a line.
PLEASE HURRY PLEASE HURRY PLEASE HELPPP
Is 1,000 a rational number or a irrational or is it a whole number ?
Answer:
1,000 is both a rational number and a whole number.
If my answer helped, please mark me as the brainliest!!
Thank You!!
What statements describe this graph? Check all that apply. The points are scattered. The points are not connected. O The graph displays a discrete graph. O The graph displays the relationship of test scores to hours studied. The graph represents the relationship between two sets of data.
Answer:
The points are scattered, the graph displays a discrete graph, and the graph displays the relationship of test scores to hours studied.
Step-by-step explanation:
Answer:
It is also E - The graph represents the relationship between two sets of data.
A C D and E is the correct answer.
Step-by-step explanation:
If line segment BC is an angle bisector, the measure of angle CBF - (10x-9) degrees, and the mesaure of angle FBE - (8x+30) degrees
find the value of x
A) 15
B)19.5
C)8
D)4
Answer:
8
Step-by-step explanation:
bababooey
Which number rounds to 341 when rounded to the nearest whole number?
How do you find the slope if a line of two points are given?
If it is the two ordered pairs that are given then use the following slope formula.
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
also known as m = rise / run
Step-by-step explanation:
Fonts for Android and iPhone - www.fontskeyboard.com
"With patience a ruler may be persuaded, and a soft tongue can
break bones." what does this proverb mean?
Answer:
Well rulers don't like to be proven wrong therefore you have to be patient in convincing a ruler that your idea is best. It's pretty much like what inception is in the movie.
A soft tongue is using calm words which in my opinion means you have the utmost confidence in what you're saying. I dont think it literally means bones will break but the person listening will feel as though they are completely wrong if a calm cool person is proving them wrong.
Answer: See answer below
Step-by-step explanation:
Well rulers don't like to be proven wrong therefore you have to be patient in convincing a ruler that your idea is best.
A soft tongue is using calm words which means you have the utmost confidence when speaking. The phrase "break bones" means that a person listening will feel as though they are completely wrong if a calm cool person is proving them wrong.
In ΔOPQ, p = 180 inches, q = 120 inches and ∠O=171°. Find the length of o, to the nearest inch.
Given:
In ΔOPQ, p = 180 inches, q = 120 inches and ∠O=171°.
To find:
The length of o, to the nearest inch.
Solution:
According to cosine formula,
[tex]a^2=b^2+c^2-2bc\cos A[/tex]
Using cosine formula in ΔOPQ, we get
[tex]o^2=p^2+q^2-2pq\cos O[/tex]
On substituting the values, we get
[tex]o^2=(180)^2+(120)^2-2(180)(120)\cos (171^\circ)[/tex]
[tex]o^2=32400+14400-43200(-0.9877)[/tex]
[tex]o^2=46800+42668.64[/tex]
[tex]o^2=89468.64[/tex]
Taking square root on both sides.
[tex]o=\sqrt{89468.64}[/tex]
[tex]o=299.113[/tex]
[tex]o\approx 299[/tex]
Therefore, the length of o is about 299 inches.
Answer:299
Step-by-step explanation:
Solve for x.
5)
F
5x -5
18x + 9
A
105°
G
A) 12
C) 10
B) 2
D) 7.
Answer:
7
Step-by-step explanation:
The external angle of a triangle is equal to the sum of the opposite interior angles
18x+9 = 5x-5 + 105
Combine like terms
18x+9 = 5x +100
Subtract 5x from each side
18x-5x +9 = 5x+100-5x
13x +9 = 100
Subtract 9 from each side
13x +9-9=100-9
13x= 91
Divide by 13
13x/13 = 91/13
x = 7
Solve the quadratic using the quadratic formula. *
Solve:
6x^2 + 7x – 5 = 0
Answer:x = -5/3 or x = 1/2
Step-by-step explanation:
Let's solve your equation step-by-step.
6x2+7x−5=0
Step 1: Factor left side of equation.
(3x+5)(2x−1)=0
Step 2: Set factors equal to 0.
3x+5 = 0 or 2x−1 = 0
x = -5/3 or x = 1/2
Answer:
[tex]x=\frac{1}{2}[/tex]
[tex]x=-1\frac{2}{3}[/tex]
Step-by-step explanation:
[tex]x=\frac{-b±\sqrt{b^{2} +4ac} }{2a}[/tex]
Ignore the A before the ±, it wouldn't let me type it correctly.
6x² + 7x - 5 = 0
a = 6
b = 7
c = - 7
[tex]x=\frac{-(7)±\sqrt{7^{2} +4((6)(-5))} }{2(6)}[/tex]
[tex]x=\frac{-(7)±\sqrt{49 +4((6)(-5))} }{2(6)}[/tex]
[tex]x=\frac{-(7)±\sqrt{49 +120} }{2(6)}[/tex]
[tex]x=\frac{-7±\sqrt{169} }{12}[/tex]
[tex]x=\frac{-7±13 }{12}[/tex]
Two separate equations
[tex]x=\frac{-7+13 }{12}[/tex]
[tex]x=\frac{-7-13 }{12}[/tex]
________________________
[tex]x=\frac{-7+13 }{12}[/tex]
[tex]x=\frac{6 }{12}[/tex]
[tex]x=\frac{1}{2}[/tex]
[tex]x=\frac{-7-13 }{12}[/tex]
[tex]x=\frac{-20 }{12}[/tex]
[tex]x=-1\frac{2}{3}[/tex]