A company sells widgets. The amount of profit, y, made by the
company, is related to the selling price of each widget, x, by the given
equation. Using this equation, find out the maximum amount of profit
the company can make, to the nearest dollar.
y = -4x^2 + 183x – 1247
Answer:
846.06 units
Step-by-step explanation:
The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation as follows :
[tex]y = -4x^2 + 183x- 1247[/tex] ...(1)
We need to find out the maximum amount of profit the company can make.
For maximum profit put dy/dx = 0
So,
[tex]\dfrac{d}{dx}(-4x^2 + 183x- 1247)=0\\\\-8x+183=0\\\\x=\dfrac{183}{8}\\\\x=22.87[/tex]
Put x = 22.87 in equation (1). So,
[tex]y = -4(22.87)^2 + 183(22.87)- 1247\\\\=846.06[/tex]
So, the maximum profit is 846.06 units.
ABC has vertices A(2,3), B(4,6), C(7,4) Describe a sequence of two transformations that would move ABC to Quadrant III.
Answer:
Some examples
Step-by-step explanation:
1.The vertices of triangle ABC are A(2,-3), B(-3,-5), and C(4,1). For each translation, give the vertices of triangle A'B'C'. When the transformation (-2,3). When the T (-4,-1) and T
C
2.Triangle ABC has vertices A(-3,0) B(0,6) C(4,6). Find the equations of the three medians of triangle ABC
Triangle ABC has vertices A(-3,0) B(0,6) C(4,6). Find the equations of the three altitudes of the same triangle
Triangle ABC has vertices A(-3,0) B(0,6) C(4,6). Find the equations of the three perpendicular bisectors of the same triangle.
A(−3, 0), B(0, 6), and C(4, 6)
using the midpoint formula: we can find all of their midpoint which is necessary to complete question 1 and 2
Mid AB=(-1.5, 3), Mid BC=(2, 6), Mid AC=(0.5,3)
Next, we have to find the slope of from the vertex and the midpoint of each side. We use the slope formula: .
You would get -6, 6/5, and 6/11.
Next you substitute in the coordinates for the equation of each for example: y=-6x, you switch in the set of cords AB which is (-1.5, 3). 3=-6(-1.5)+z and find that z=6, so the equation is y=-6x+6. As for the rest, repeat the same process until you find all 3 cords. You should get an answer of
For question 2,
The line has to be perpendicular bisector to the midpoint, signifying that it has to split 2 angles into congruent angles and a side into half. In order to do that we need to first find the opposite reciprocal of each side's slope. Which means we need to once again use the slope formula and get the opposite reciprocal by . For all the opposite reciprocal slopes you get will be incorporated into the final formulas. That gives us the slopes of -1/2, 0 and -7/6.
I hope this helps! :)
The chance of rain is 20%, the chance of it being sunny is 60%, and the chance of it
being sunny and rainy at the same time is 10%. Calculate, the probability that it is
either sunny or rainy.
Answer:
0.6 = 60% probability that it is either sunny or rainy.
Step-by-step explanation:
We solve this question treating these events as Venn probabilities.
I am going to say that:
Event A: Rain
Event B: Sun
The chance of rain is 20%
This means that [tex]P(A) = 0.2[/tex]
The chance of it being sunny is 60%
This means that [tex]P(B) = 0.6[/tex]
The chance of it being sunny and rainy at the same time is 10%.
This means that [tex]P(A \cap B) = 0.1[/tex]
Calculate, the probability that it is either sunny or rainy.
This is:
[tex]P = P(A) + P(B) - 2P(A \cap B) = 0.2 + 0.6 - 0.2 = 0.6[/tex]
0.6 = 60% probability that it is either sunny or rainy.
The reflection of point s across the y-axis is point_ the reflection of point
Answer:
Point V
Step-by-step explanation:
i think
Find (f+g)(x) for the function.
f(x) = x2 + x
g(x) = x + 2
Charlie made $198 for 11 hours of work. At the same rate, how many hours would he have to work to make $126?
Answer:
Charlie would have to work 7 hours to make $126.
Step-by-step explanation:
198 ÷ 11 = 18
$18 - 1 hour
126 ÷ 18 = 7
Enter your answer
24. If you invest $4000 in an account that gains 7% interest each year, how long will it take for there
to be $9000 in the account?
(5 Points)
Answer:So, since it is continuously, we need to think of PERT
A=P\times e^{rt}
So, we just plug our numbers in to solve for T
8000=4000e^{.07t}\\\ln(8000)=\ln(4000e^{.07t})\\\ln(8000) = \ln(4000) + \ln(e^{.07t})\\\ln(8000)=\ln(4000)+.07t\ln(e)\\\ln(8000)=\ln(4000)+.07t\\\frac{\ln(8000)}{\ln(4000)}=.07t\\\frac{\ln(8000)}{.07\ln(4000)}=t\\ 15.479=t
It will take 15.479 years
Step-by-step explanation:
Kari makes a wage of $10.25/ hour.
a. If “p” represents her total pay and “t” represents the time she works in hours, write an
equation to represent her pay.
Answer:
p = t X 10.25
Step-by-step explanation:
if she makes 10.25 an hour/time then when you multiply it you will get the total pay.
Figure ABCD is a rectangle. Find the
value of x.
С
B
2x + 4
E
7X-1
А
D
x = [?]
PLEASE HELP‼️
The value of x for the two lengths of the diagonals is 1.
What is a diagonal?A diagonal in geometry is a line segment that connects two polygonal or polyhedral vertices when they are not on the same edge. Any sloping line is known as a diagonal informally.
Geometry is the area of mathematics that deals with the characteristics of space and the shapes of particular things as well as the interactions between them in space.
Given that the two segment values are 2x + 4 and 7x - 1. The value of x will be calculated as,
2x+4 = 7x-1
5x = 5
x = 1
Hence, the value of x is 1.
To know more about geometry follow
https://brainly.com/question/16967799
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Answer: The 2 litter bottle holds more
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
half a gallon is only 1.89 litters and two liters only holds .528 of a gallon
Using Triangle Similarity Theorems (6)
A
12
E A
B
9
D
What is the length of DC? Show work.
Answer:
DC = 3
Step-by-step explanation:
Based on triangle similarity theorem, we would have the following equation:
[tex] \frac{AD}{AC} = \frac{AE}{AB} [/tex]
Plug in the values
[tex] \frac{9}{9 + DC} = \frac{12}{12 + 4} [/tex]
[tex] \frac{9}{9 + DC} = \frac{12}{16} [/tex]
[tex] \frac{9}{9 + DC} = \frac{3}{4} [/tex]
Cross multiply
3(9 + DC) = 9×4
27 + 3DC = 36
Subtract 27 from each side
3DC = 36 - 27
3DC = 9
Divide both sides by 3
DC = 9/3
DC = 3
What is the volume of a rectangular prism whose length is 2x+1 units, width is x-2 units, and whose height is 3x units?
6x^3-9x^2-6x cubic units
6x^2-9x-6 square units
6x^3-9x^2+6x cubic units
6x^3-15x^2+6x cubic units
Answer:
V = 6x^3 - 9x^2 - 6x (which matches the third answer choice)
Step-by-step explanation:
The volume of a rectangular prism of length L, depth W and height H is
V = L * W * H.
Thus,
in this case,
V = (2x + 1)(x - 2)(3x).
The order in which we multiply these quantities together is immaterial.
Working from left to right, we get:
V = (2x^2 - 3x - 2)(3x), and then:
V = 6x^3 - 9x^2 - 6x (which matches the third answer choice)
X = {a, c, d, e, f, g,I}
Y = {b, c, d, e, h, i, k, l, m}
Z = {c, f, i, j, m}
Represent the above information on a Venn diagram.
Help
Answer: sorry but i need points
Answer:
Step-by-step explanation:
me too^^
What is the inverse of f(x)=3x+14
Answer:
f^-1(x)=x/3-14/3
Step-by-step explanation:
3. The table below lists the colored marbles in a bag. Match the theoretical probabilities for drawing a single marble with the correct marble color. Marble Color Number of Marbles blue 12 red 6 yellow 21 black 8 green 11 1. 19% 2. 14% 3. 36% 4. 21% 5. 10% a.red b.black c.green d.red e.yellow
Answer:
Blue = 12/58 * 100% = 20.68 = 21%
Red = 6/58 * 100 = 10.34 = 10%
Yellow = 21/58 * 100 = 36.20 = 36%
Black = 8/58 * 100 = 13.79 = 14%
Green = 11/58 * 100 = 18.96 = 19%
Step-by-step explanation:
Given the table :
Marble_color ____ Number of marbles
Blue ___________ 12
Red ___________ 6
Yellow _________ 21
Black __________ 8
Green _________ 11
Theoretical probability % = (number of favorable outcome / number of total possible outcomes)
Total possible outcomes = (12+6+21+8+11) = 58
Blue = 12/58 * 100% = 20.68 = 21%
Red = 6/58 * 100 = 10.34 = 10%
Yellow = 21/58 * 100 = 36.20 = 36%
Black = 8/58 * 100 = 13.79 = 14%
Green = 11/58 * 100 = 18.96 = 19%
What is the volume of this composite solid?
6 m
5 m
12 m
9 m
Answer:
864 my brother
Step-by-step explanation:
The fair market rental rate for Columbus was $630 in 2013 and $551 in 2003. Find the rate of change for the fair market rental rate in Columbus during this period.
Answer:
7.9
Step-by-step explanation:
y2-y1\x2-x1
kim owes $870.00 on her mastercard account. She returns two items costing $35.90 and $150.00 and receive credits for these on the account. Next, she makes a purchase of $82.50, and then two more purchases of $10.00 each. She makes a payment of $500.00. She then incurs a finance charge of $37.23. How much does she still owe?
Answer:
She has 499.3$
Step-by-step explanation:
870+35.90+35.90+150-82.50-10-500
Which graph represents exponential decay?
Answer:
1000x4=4000
Step-by-step explanation:
there is no graph
Answer:
C
Step-by-step explanation:
Part B: Which of the following statements
accurately describes the shape, center, and
spread of the data?
O A. The range is 9, there is a gap at 94, the
distribution is skewed right, and there is a peak
at 96.
o B. The median is 96, there is a gap at 92, a peak
at 96, and the distribution is symmetrical.
O C. The mode is 96, there are gaps at 92 and 94,
the distribution is skewed left, and 90 and 91
are outliers.
D. The mean is about 95.5, there are no gaps, the
distribution is symmetrical, and 90 is an outlier
Answer:
c
Step-by-step explanation:
because that would be the wrong one
a square field has a perimeter of 48cm find the area of the field
Answer:
2,304
Step-by-step explanation:
u multiply one length by it widgth so 48 x 48
Answer:
144 m
Step-by-step explanation:
Here , The perimeter of a square=48 m.
Area=?
Since,each side of a square= perimeter/4
=48/4
=12m.
Hence, the area of the square=(side)²
=(12)².
=144 m² Ans.
-6x+5y=1 and 6x+4y=10.substitution
Answer:
(23/27, 11/9)
Step-by-step explanation:
Given the simultaneous equation;
-6x+5y=1..... 1
6x+4y=10.... 2
Add both equations
5y + 4y = 1+10
9y = 11
y = 11/9
Substitute y = 11/9 into 1;
From 1;
-6x+5y=1.
-6x + 5(11/9) = 1
-6x + 55/9 = 1
-6x = 1- 55/9
-6x = (9-55)/9
-6x = -46/9
x = -46/-54
x = 23/27
The solution to the system of equation is (23/27, 11/9)
Brandon measured the length of a pencil to be 18cm. The actual length of the pencil is 21cm. What is the percent error for Brandon’s measurement? (Round to the nearest tenth).
Answer:
14.2% error
Step-by-step explanation:
21-18 = 3
3/21 = 14.2
Answer:
14.2%
Step-by-step explanation:
21-18 = 3
3/21 = 14.2
PLS HELP ASAP, WILL MARK YOU BRAINLIEST!!!!
Answer:
Try looking at each angle and add the sides
Step-by-step explanation:
Classify the data of the number of customers at a restaurant
Answer:
we need a picture or screenshot to answer this correctly, but i would think it would be consumer growth per time unit that the graph is based on
Answer:
we would need a question like a picture or some thing else.
Please give a solution
Answer:
x-3<10 is solution and 6y>12 is not a solution
Step-by-step explanation:
Can anyone help!!!! Please!!!?
Answer:
384
Step-by-step explanation:
A=[tex]6_{2}[/tex]a=6·82=384
3)
2(34 + 12) > 50
This inequality contains a variable, b. Choose ALL numbers that make this inequality true.
A)
16
B)
18
19
D
20
E)
22
Answer:
a and c
Step-by-step explanation:
State one of the De Morgan’s laws for Logic
In set theory, De Morgan's Laws relate the intersection and union of sets through complements. In propositional logic, De Morgan's Laws relate conjunctions and disjunctions of propositions through negation. De Morgan's Laws are also applicable in computer engineering for developing logic gates.
what if i clapped ya moms cheeks?
Answer:
If you do you nasty
Smh why would you say thaaaaaat
Answer:
where ya mom at homie :smirk:
Step-by-step explanation: