Answer:
In order to maximize profit, each widget should sell for $26.70.
Step-by-step explanation:
The total amount of profit y given by the selling price of each widget x is given by:
[tex]y=-15x^2+801x-5900[/tex]
And we want to determine the price of each widget such that is yields the maximum profit.
Since the equation is a quadratic, the maximum profit will occur at the vertex of our parabola.
The vertex of a quadratic is given by:
[tex]\displaystyle \left(-\frac{b}{2a},f\left(-\frac{b}{2a}\right)\right)[/tex]
So, let's find the vertex. In our equation, a = -15, b = 801, and c = -5900.
Therefore, the price that maximizes profit is:
[tex]\displaystyle x=-\frac{801}{2(-15)}=\$26.70[/tex]
Therefore, in order to maximize profit, each widget should sell for $26.70.
Notes:
Then substituting this back into the equation, the maximum profit is:
[tex]y_{\text{max}}=-15(26.7)^2+801(26.7)-5900=\$ 4793.35[/tex]
A culture of bacteria has an initial population of 35000 bacteria and doubles every 10 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P t =P 0 ⋅2 d t , where P_tP t is the population after t hours, P_0P 0 is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 3 hours, to the nearest whole number?
Answer:43090
Step-by-step explanation: Pt=35000*2 3/10
Pt= 43090.0545
Plz help this is due today AND NO LINKS OR GROSS PICTURES OR I REPORT
Answer:
90
Step-by-step explanation:
an obtuse angle is an angle from 90 - 180 degrees, so it would greater than 90 degrees
3 3/4 / 2/5 = what? I'm struggling
Lets convert 3 3/4 into improper fraction first.
[tex]3\frac{3}{4} = \frac{3 \times 4 + 3}{4} \\ = \frac{15}{4} [/tex]
[tex] \frac{3\frac{3}{4} }{ \frac{2}{5} } \\ = \frac{15}{4} \div \frac{2}{5} \\ = \frac{15}{4} \times \frac{5}{2} \\ = \frac{75}{6} \\ = \frac{25}{2} \: or12 \frac{1}{2} or \: 12.5[/tex]
Question 1
The grade 12 class of Ntsako secondary school wants to sell vetkoek with a mincs
to generate funds for the matric farewell. The ingredients of the recipe for the mic
well as the prices they negotiated at the local supermarket are shown on the tables beton
total amount needed for the matric farewell planned for so learners and 3 Educators with
partners, is R88 000.00 Including transport to the venue
25 VETKOEK S GRADE 12 CURRY MINCE FILLING FOR FUNDRAISING
TABLE
Ingredients for curry ice
2 Large onions
1 ko Mince
15 Cups of water
5 Teaspoons sa
2 Cups of vinegar
1 Large carrots (grated)
2 Large potatoes (died)
15 Tablespoons apricot jam
1 Tablespoon chutney
1.5 tablespoons sugar
% teaspoon mild curry powder
Steaspoons hot curry powder
2 tablespoons turmeric
answer: where is the question?
What is the solution to this equation.
4x + 14 = -10 - 4x
Write the number only.
(No x =)
Answer:
Hi! The answer to your question is [tex]-3[/tex]
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
Kevin takes classes at both Westside college and Pinewood college at Westside class fees are $98 per credit hour and Pinewood they are $115 per credit hour. Karen is taking combined total of 18 credit hours at the two schools. Suppose that she's taking W credit hours at Westside. Write an expression for the combined total dollar amount that she paid for the class fees
Answer:
y = 98(w) + 115(18 - w)
Step-by-step explanation:
The expression that represents how much Kevin spends for classes at both schools : (#credits at Westside)($98) + (#credits at pinewood)($115). If he takes all credits at Westside this is 18(98) + 0, which would be the lowest cost it could be, if he takes all credits at Pinewood this would be 0 + (18)(115) which would be the maximum Bob could pay for 18 credits. If y is the total cost of is courses, then y = 98(w) + 115(18 - w). Using the distributive property, this can be simplified.
What time is it in iowa when the sun goes down in new york at 5:20 pm est?
Order the following integers from least to greatest. -4, 3, 0, -2, 1, -3
Answer:
-4; -3; -2; 0; 1; 3;
Step-by-step explanation:
Se extraen dos canicas de un paquete, que tiene dos canicas rojas, dos canicas negras y una canica blanca. ¿Cuáles son los posibles elementos de este experimento aleatorio?
A.
{(blanca, roja), (blanca, negra), (roja, negra), (roja, roja), (negra, negra)}
B.
{(blanca, roja), (blanca, negra), (roja, negra), (negra, roja)}
C.
{(blanca, roja), (blanca, negra), (roja, negra), (blanca, blanca)}
D.
{(roja, roja), (negra, negra), (blanca, blanca), (roja, negra), (blanca, negra)}
Hombre, no lo sé, pero estoy feliz de hablar
What expression is undefined
Answer:
Step-by-step explanation:How do we know when a numerical expression is undefined? It is when the denominator equals zero. When we have a denominator that equals zero, we end up with division by zero. We can't divide by zero in math, so we end up with an expression that we can't solve.
To find:
Which of the four expressions are undefined, or not possible to calculate.
Steps:
Lets go through each option one by one
Option A:
[tex]-\frac{0}{2}[/tex] , in this expression a negative zero is divided by 2, we know that zero divided by any number is equal to 0.
[tex]-\frac{0}{2}= -0 = 0[/tex]
Since option A is defined. Now lets go to option B
Option B:
[tex]\frac{3}{6-6}= \frac{3}{0}[/tex]
this expression shows 3 divided by a zero, but dividing any non-zero number by 0 is not possible.
Therefore option B is undefined. We found out the answer but lets continue for learning purposes.
Option C:
0 ÷ 11 = [tex]\frac{0}{11}[/tex]
This expression is similar to the first expression, where zero is divided by any number.
[tex]\frac{0}{11} = 0[/tex]
Therefore option C is defined. Now let continue to option D
Option D:
[tex]\frac{-4+0}{8}= \frac{-4}{8}= \frac{-1}{2}[/tex]
In this expression, the final answer after simplifying is -1/2 which is a number and is possible to calculate
Therefore option D is defined.
Happy to help :)
If u need any more help feel free to ask
Then Find The Value Of X
Answer:
15
Step-by-step explanation:
The given is a right triangle divided into two parts by a sector
so 3x + 45 = 90 subtract 45 from both sides
3x = 45 divide both sides by 3
x = 15
compare the following pairs of numbers. in each pair,state which is greater
a. 759
b. 8769
c. 96699
d. 36754209
The trick is looking at the first numbers for either possible answer. Pick the one that is the greatest going backward. If you're stuck with the same numbers as in d, just continue going back until you see something like the 7 being greater than the 5.
_____________________________
Step-by-step explanation:
hope it is helpful to you
Find the highest common factor of 126
and 140
Please help
Answer:
GCF= 14
Step-by-step explanation:
For the values 126 and 140
The highest common factor of 126 and 140 is 14
From the question,
We are to determine the highest common factor of 126 and 140
To do this,
We will list out the factors of the numbers
The factors of 126 are
126 - 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, and 126
The factors of 140 are
140 - 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, and 140.
From above, the common factors are 1,2,7 and 14, and 14 is the highest.
Hence, the highest common factor of 126 and 140 is 14
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Which similarity statement and justification correctly identifies the triangles'
relationship? *
Help plz
Answer:
(c) [tex]\triangle ABC[/tex] to [tex]\triangle EDC[/tex] by AA
Step-by-step explanation:
Given
See attachment for triangles
Required
The relationship between both triangles
First, we determine the corresponding sides.
The corresponding sides will be determined based on the length of each side (i.e. bigger sides correspond while smaller sides correspond).
So, we have:
[tex]AC\ to\ EC[/tex]
[tex]BC\ to\ DC[/tex]
Next, is to name the triangle base on the corresponding sides
The names will be: [tex]\triangle ABC[/tex] and [tex]\triangle EDC[/tex]
Lastly, is to check the scale ratio (k).
For both triangles to correspond, the scale ratio must be the same
So:
[tex]k = \frac{EC}{AC} = \frac{DC}{BC}[/tex]
[tex]k = \frac{8}{6} = \frac{12}{9}[/tex]
[tex]k = \frac{4}{3} = \frac{4}{3}[/tex]
[tex]k = \frac{4}{3}[/tex]
Hence, the theorem is: [tex]\triangle ABC[/tex] to [tex]\triangle EDC[/tex] by AA
Plz hurry.....................
Answer:
It should be 115.2 meters^3
Step-by-step explanation:
Volume = 1/3 a^2h
= 1/3 x 12^2 x 2.4
= 115.2 m ^3
Find the slope of the line represented
by the data below.
Answer:
slope = 3/4
Step-by-step explanation:
(=^w^=)
can do 7-4/-5--9
3/4 woof
The slope of the line represented by the given data points is 3/4.
To find the slope of the line represented by the given data points, we can use the formula for slope:
slope = (change in y) / (change in x)
Let's calculate the changes in y and x using the given data points:
Change in y:
From y = 4 to y = 16, there is an increase of 16 - 4 = 12.
Change in x:
From x = -9 to x = 7, there is an increase of 7 - (-9) = 16.
Now, we can calculate the slope using the formula:
slope = (change in y) / (change in x)
= 12 / 16
= 3 / 4
Therefore, the slope of the line represented by the given data points is 3/4.
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use the area of the rectangle to find the area of the triangle
Answer:
The area of the Triangle is 1/2 the area of the Rectangle
The answer is D.
Step-by-step explanation:
Ignore the area of the rectangle for the moment, just so you can get the answer.
Area Triangle = 1/2 * b * h
Area Triangle = 1/2 * 8 * 4
Area Triangle = 1/2 32
Area Triangle = 16 square feet.
The area of the rectangle = L * W
L = 8
W = 4
Area of the rectangle = 8*4 = 32
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!
Answer:
i think your answer would be d
Step-by-step explanation:
The trophic level of an organism is the number of steps it is from the start of the chain
Answer:
D)
Step-by-step explanation:
It starts out with a leaf (1st trophic level)
the leaf then gets eaten by the caterpillar (2nd trophic level)
then, the chameleon eats the caterpillar ( 3rd trophic level)
next, the chameleon gets eaten by the snake ( 4th trophic level)
finally, the snake gets eaten by the mongoose ( 5th trophic level)
Therefore, there are 5 trophic levels
Find the solution set of the inequality:
-3x + 8 < 15
Answer:
the answer would be x>-7/3
Use the slope formula to find the slope of the line through the points (−1,−2) and (9,−10)
Answer:
-4/5
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-10-(-2))/(9-(-1))
m=(-10+2)/(9+1)
m=-8/10
simplify
m=-4/5
In 2000, the population of a district was 32,600. With a continuous annual growth rate of approximately 2%, what will the
population be in 2010 according to the exponential growth function?
Round the answer to the nearest whole number
Answer:
39,739
Step-by-step explanation:
The formula for exponential growth regarding this situation would be y=32600(1+0.02)^10, because 32600 is our initial amount, 1.02 is our growth rate, and 10 is the number of years. after putting it into a calculator you get 39.739.
Which table contains only values that
satisfy the equation y = 6x +2?
FOR BRAINLIST!!
Answer:
table C
Step-by-step explanation:
We have to try to substitute the x with its value and y with its value. If the equality is satisfied, the points are points of the line
Table A
0 = 0 + 2
0 = 2 false, table A can’t be the answer
Table B
2 = 2 true
4 = 6 + 2
4 = 8 false, table B can’t be the answer
Table C
2 = 2 (true)
8 = 6+2 ; 8=8 (true)
14 = 12 + 2 ; 14= 14 (true)
20 = 18 + 2 ; 20=20 (true)
I was so confident in this question but I still got it wrong:( help!!
Answer:
I believe it's a. I've seen you posting a lot of questions I hope you do good on your resubmission.
Given that the quadrilateral shown is a rhombus, which statements are correct? A) mz1 = 32° D) m26 = 58° B) m 2 = 58° E) m27 = 32° C) mz3 = 32°
Angle 4 would equal the given angle in the opposite corner so angle 4 = 32 degrees.
The diagonal line is a bisector so angle 3 = the given angle of 32 and then angle 5 would also be 32 degrees.
The two diagonals are perpendicular so angle 8 would be 90 degrees.
The three inside angles of a triangle need to equal 180 so angle 1 would be 180-90-32 = 58 and angle 2 would also be 58.
Here are all the angles:
1 = 58
2 = 58
3 = 32
4 = 32
5 = 32
6 = 58
7 = 58
8 = 90
Now just pick the correct answers
state the place value of:. (i) 8 in 287
Answer:
80
Step-by-step explanation:
because 8 is in tens place
so it´s value is 8*10=80
(2/3)^4=
am very confuse guys help!!!
Answer:
16/81
Step-by-step explanation:
Lets break it down
When you see ^4, you are multiplying the base ( 2/3 ) by itself 4 times
So lets write the equation
[tex]\frac{2}{3} *\frac{2}{3} *\frac{2}{3} *\frac{2}{3} = x\\[/tex]
[tex]\frac{4}{9} *\frac{4}{9} =x[/tex]
[tex]\frac{16}{81} =x\\x= \frac{16}{81}[/tex]
If my answer is wrong pls correct me.
If you like my answer and explanation then please mark me as Brainliest!
-Chetan K
Working alone, it takes Kristin 11 hours to harvest a field. Kayla can harvest the same field in 16 hours. Find how long it would take them if they worked together.
Answer:
(11 hrs + 16 hrs)/2 = 13.5 hrs
13.5 hrs /2 = 6.75 hrs
If x is an acute angle, and tan x=3/4
evaluate
COS x-sin x/COS x+ sin x
please answer fast 10 points and brainliest answer
Use the pic and solve the COS x-sin x/COS x+ sin x part
comment if there's something u don't understand
The value of (cosx-sinx)/(cosx+sinx) is 1/7 if the x is an acute angle, and tan x=3/4
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have:
tanx = 3/4 (x is an acute angle)
[tex]\rm \dfrac{sinx}{cosx}=\dfrac{3}{4} \\\\\ \rm \dfrac{cosx}{sinx}-1=\dfrac{4}{3}-1\\\\\rm \dfrac{cosx-sinx}{sinx}=\dfrac{1}{3}\\\\[/tex] ….(1)
[tex]\rm \dfrac{sinx}{cosx}=\dfrac{3}{4} \\\\\ \rm \dfrac{cosx}{sinx}+1=\dfrac{4}{3}+1\\\\\rm \dfrac{cosx+sinx}{sinx}=\dfrac{7}{3}\\\\[/tex] …(2)
Divide (1) ÷ (2)
(cosx-sinx)/(cosx+sinx) = (1/3)/(7/3) = 1/7
Thus, the value of (cosx-sinx)/(cosx+sinx) is 1/7 if the x is an acute angle, and tan x=3/4
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The amount of flight time between failures of an airplane engine is exponentially distributed with mean 900 hours. If the engine is inspected every 600 hours of flight time, what is the probability that the engine will fail before it is inspected
Answer:
0.4866 = 48.66% probability that the engine will fail before it is inspected
Step-by-step explanation:
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:
[tex]f(x) = \mu e^{-\mu x}[/tex]
In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.
The probability that x is lower or equal to a is given by:
[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]
Which has the following solution:
[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]
The probability of finding a value higher than x is:
[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]
Exponentially distributed with mean 900 hours.
This means that [tex]m = 900, \mu = \frac{1}{900}[/tex]
If the engine is inspected every 600 hours of flight time, what is the probability that the engine will fail before it is inspected?
This is [tex]P(X \leq 600)[/tex], which is:
[tex]P(X \leq 600) = 1 - e^{-\frac{600}{900}} = 0.4866[/tex]
0.4866 = 48.66% probability that the engine will fail before it is inspected