Answer:
6cm produces the largest mosquito
Step-by-step explanation:
The question has missing details.
From the complete question, the function is:
[tex]g(x) = 12x-x^2[/tex]
Required
Which area of rainfall produces the most mosquito
This implies that, we calculate the maximum of the function.
This is calculated as:
[tex]Max = -\frac{b}{2a}[/tex]
We have:
[tex]g(x) = 12x-x^2[/tex]
Rewrite as:
[tex]g(x) = -x^2 + 12x + 0[/tex]
From the above:
[tex]a= -1[/tex]
[tex]b = 12[/tex]
[tex]c = 0[/tex]
So, we have:
[tex]Max = -\frac{b}{2a}[/tex]
[tex]Max = -\frac{12}{2 * -1}[/tex]
[tex]Max = \frac{12}{2}[/tex]
[tex]Max = 6[/tex]
This implies that:
[tex]x = 6[/tex] ---- the maximum
When rainfall is at 6cm, there is a maximum number of mosquitoes
The maximum is then calculated as:
[tex]g(x) = 12x-x^2[/tex]
[tex]g(6) = 12 * 6 - 6^2[/tex]
[tex]g(6) = 72 - 36[/tex]
[tex]g(6) = 36[/tex]
The maximum number of mosquito is 36 million
Type the correct answer in each box. Round your answers to the nearest dollar.
These are the cost and revenue functions for a line of 24-pound bags of dog food sold by a large distributor:
R(x) = -31.72x2 + 2,030x
C(x) = -126.96x + 26,391
The maximum profit of $ Blank
can be made when the selling price of the dog food is set to $ Blank
per bag.
there are two answers
Answer:
$10,277.32
Step-by-step explanation:
Given the revenue and cost function
R(x) = -31.72x^2 + 2,030x
C(x) = -126.96x + 26,391
The profit function is expressed as;
P(x) = R(x) - C(x)
P(x) = -31.72x^2 + 2,030x-(-126.96x + 26,391)
P(x) = -31.72x^2 + 2,030x+126.96x - 26,391
P(x) = -31.72x^2 + 2,030x+126.96x - 26,391
P(x) = -31.72x^2 + 2,156.96x - 26,391
To have maximum profit, d
The maximum profit dP/dx = 0
dP/dx = -63.44x+2156.96
-63.44x+2156.96=0
63.44x = 2156.96
X = 2156.96/63.44
x = 34
Get the profit
P(34) = -31.72(34)² + 2,156.96(34)- 26,391
P(34) = -36668.32+73336.64-26391
P(34) = 10,277.32
Hence the maximum profit that can be made is $10,277.32
A 400g pack of couscous contains 116g of carbohydrate.
A 250g bag of maize flour contains 195g of carbohydrate.
A 1kg bag of wheat flour contains 640g of carbohydrate.
Use percentages to work out the amount of carbohydrates in each.
Answer:
A: 70% B: 64%
Step-by-step explanation:
An experiment compares the height of two plants over time. A plant was 2cm tall at the beginning of the experiment and grew 0.5 centimeters each day. The functions f(t)=0.5+2 represents the height of the plant in centimeters after t days . Which plant for f, or g was growing faster ?
Answer:
Plant F;
Plant G;
Plant G
Step-by-step explanation:
Given that:
Plant F :
f(t)=0.5x+2
From the growth graph given for the second plant ; plant G
Point 1 (0, 5) ; point 2(16, 9)
Slope = Rise / Run = (9 - 5) / (16 - 0) = 4 / 16 = 0.25
Intercept = 5 ( point where fitted line crosses the y-axis)
Linear slope intercept relation : y = mx + c
m = slope ; c = intercept
g(x) = 0.25x + 5
The slope value of plant F = 0.5
Slope value of plant G = 0.25
F > G
Hence, F is growing at a faster rate
The starting height is given by the intercept value of the two equations ;
Plant F, intercept = 2
Plant G, intercept = 5
G > F
Hence, G was taller, to begin with
Height after 8 days :
x = 8
f(8)=0.5(8)+2
f(8) = 4 +2 = 6
g(8) = 0.25(8) + 5
g(8) = 2 + 5 = 7
Hence, G was taller after 8 days
Which of the following are equivalent to the expression 9/4(1.75−2 1/4)?
Answer: -1 1/8 (Decimal: -1.125)
Three friends share 1/4 pan of brownies what fraction of the whole pan of brownies does each friend get
Answer:
1/12
Step-by-step explanation:
1/4 ÷ 3 = 1/4 x 1/3 = 1/12
can someone help me
200 students in a high school senior class are surveyed about what majors they intend to declare in college. Of the 200 students, 80 plan to major in mathematics, 100 plan to major in computer science, and 30 plan to pursue a double major in mathematics and computer science. Using this information, answer each of the following questions.
Let MMM be the event that a randomly selected student plans to major in mathematics and CCC be the event that a randomly selected student plans to major in computer science.
Khan academy adding probabilities
Answer:
Why is the number so big
Step-by-step explanation:
Answer:
2/5
1/2
3/20
3/4
Step-by-step explanation:
got it from Khan academy :)
Khloe is measuring yarn to make jewelry for her birthday party. She needs 4 feet of yarn for necklaces.How many inches of yarn does Khloe need?
Answer:
JUST MULTIPLY 4x12=.... and youll find the answer
Step-by-step explanation:
4yarn x 12 inches= 48ft
Solve for y pls help 10 points
Answer:
y = C/8 + 2
Step-by-step explanation:
C = 8(y - 2)
C = 8y - 16
8y = C + 16
y = C/8 + 2
Solve for the surface area please
Answer:
77.35
Step-by-step explanation:
8x7=56
7x6.1=42.7
42.7x0.5=21.35
56+21.35=77.35
703.36 round nearest whole number
Please help me ASAP Its 4th grade homework
Answer:
equilateral
Step-by-step explanation:
all sides are even to each other
Answer: Equilateral triangle
Step-by-step explanation: This is because it has 3 equal sides
The line plot below shows the lengths of bolts Mr. Slivka found in his drawer.
He needs 16 bolts that are longer than 1 inch for a project he is working on.
Does he have enough bolts for his project?
A line plot named
A.
Yes. There are 16 bolts that have lengths greater than 1 inch, which is just enough.
B.
Yes. There are 18 bolts that have lengths greater than 1 inch, which is more than enough.
C.
No. There are only 3 bolts with lengths greater than 1 inch, which is not enough.
D.
No. There are only 12 bolts that have lengths greater than 1 inch, which is not enough.
Answer:
D.)
No. There are only 12 bolts that have lengths greater than 1 inch, which is not enough.
Step-by-step explanation:
Based on information provided by the dot plot above, we can deduce that the number of bta longer Than 1 inch are those with length ; 1 1/8, 1 3/8, 1 4/8
Counting the number of these bolts :
1 1/8 = 5 bolts
1 3/8 = 3 bolts
1 4/8 = 4 bolts
Hence, total number of bolts longer Than 1 inch :
(5 + 3 + 4). = 12 bolts
The number of bolts longer than 1 inch is 16. Therefore, he does not have enough bolt for the project.
If you bought a stock last year for a price of $103, and it has risen 7% since then, how
much is the stock worth now, to the nearest cent?
Answer:
the stock is worth $110.21
Step-by-step explanation:
The first thing you want to do is multiply 0.07 and 103, to find out what 7% of 103 is. When you multiply those two numbers you are going to get 7.21. You are then going to add 103 and 7.21 to find out how much it would be worth now.
Answer:
$110.21
Step-by-step explanation:
well 7% of 103 is 7.21 so if you add that to 103 it = 110.21
Which are equal matrices
Answer:
B
Step-by-step explanation:
B= 3 Ccnssssfbhmhmfffffffffffffffffffffffffffffffffffffffff
Pls help What is the volume of the following pyramid?
Answer:
It is c) 18 cm^3
Step-by-step explanation:
[tex]v = 3 \times 3 \times 2 \\ v = 18 \: {cm}^{3} [/tex]
I hope that is useful for you :)
I hate these can I get sone help
Answer:
m<a=56
m<b=34
m<c=56
Step-by-step explanation:
The rectangle is cut into two triangles. The total of a triangles angles is 180 degrees. The triangles are right triangles which means that the right angle is 90 degrees.
You already have an angle that measures 34 degrees.
Alternate interior angles are congruent. So, the given angle is equal to m<b.
Now add 90+34=124
To get the alternate interior angles (m<a and m<c) subtract 124 from 180 which equals 56 degrees.
Answer:m
Step-by-step explanation:
What is the mean absolute deviation?
92, 83, 88, 94, 91, 85, 89, 90
Answer:
https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6-mad/v/mean-absolute-deviation
Step-by-step explanation:
the absolute deviation is 2.75
Select the scenario that could be modeled by each of the given equations. For each equation, the variable c represents the cost and the variable n represents the number of items.
Answer:
c = 1.41n i think lol
Step-by-step explanation:
Answer:
The correct answers are these.
Step-by-step explanation:
A soccer ball is kicked from the ground with an initial upward velocity of 90 feet per second. The equation h=-16t^2+90t gives the height h of the ball after t seconds.
a. Find the maximum height of the ball.
b. How many seconds will it take for the ball to reach the ground?
The ball reaches a height of 126.58 ft after 2.8125 seconds
Step-by-step explanation:
The maximum height of a parabola can always be found by looking for the vertex. You can find the x value (or in this case the t value) of a vertex by using -b/2a in which a is the coefficient of x^2 and b is the coefficient of x.
-b/2a
-(90)/2(-16)
-90/-32
2.8125 seconds
Now to find the height, we input that value in for t
h = -16t^2 + 90t
h = -16(2.8125)^2 + 90(2.8125)
126.58 feet
The Rodriguez family ate One-third of a pan of brownies, and they plan to divide the remaining brownies into two equal parts. They will take one part to their block party and the other part to share with co-workers. How much of the whole pan of brownies will each place get?
A model has 2 shaded parts and 1 unshaded part.
One-sixth
One-third
One-half
Two-thirds
You have 35 yards of ribbon for your gift boxes. Each box gets the same amount of ribbon. How much ribbon will each of your 30 gift boxes get? ←
Could someone help? And quick cause im getting ready for bed!!
Answer:
help with what? could you add a picture?
can you please solve this
PLEASE HELP WITH THIS MATH EQUATION AND HELP ME HOW TO SOLVE ITTT
Answer: points (2,6) represent the point of intersection where two lines meet
Step-by-step explanation:
The lines meet at that point
if you borrow $840.00 and you pay back 1/5 how much do you still owe?
Hello, I Am BrotherEye
Answer: 672 Dollars
Step-by-step explanation:
It Is Simple 1/5 Of 840 Is = 168
168 - 840=672
Thus The Money Owed is
672 Dollars
Best Of Luck
~
BrotherEye
2(3x - 2) = 2(x – 7)
whats 5^4/5+4 please help
Which expression is equivalent to 12m(2n + 6p - 10)?
Answer:
24mn + 72mp - 120m
Step-by-step explanation:
Multiplying as indicated, we get 24mn + 72mp - 120m
Answer:
[tex]24mn + 72mp - 120m[/tex]
Step-by-step explanation:
[tex]12m(2n + 6p - 10)[/tex]
[tex]12m(2n)12m(6p)12m(-10)[/tex]
[tex]12 \times 2mn + 12 \times 6mp - 120m[/tex]
[tex]24mn + 72mp - 120m[/tex]
Hope it is helpful....please help find the missing angles !!!!
Answer:
4
Step-by-step explanation:
