The function ggg models the number of mosquitoes (in millions of mosquitoes) in a certain area as a function of rainfall (in centimeters) in that area.

Answers

Answer 1

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


Related Questions

PLEASEEE HELP WORTH 30 AND WILL GIVE CROWN

Answers

C.....................

Answer:

1 and 5

Step-by-step explanation:

it is shown in the picture

What is the value of x?

Enter your answer in the box.

Answers

Answer:

46 degrees

Step-by-step explanation:

you know that if you add 134 and x  it will equal a straight line or 180 degrees. So set it up as an addition problem.

134 + x =180   subt. 134 from both sides

x=180-134

x=46 degrees

Answer:

46

Step-by-step explanation:

Please help me with this-

Answers

Answer and Step-by-step explanation:

Section the figure into two 3D shapes.

We get both figures to be a rectangular prism.

The Volume of a rectangular prism is length times width times height.

V (of top Rectangular Prism) = 2 × 2 × 4 = 16

V (of bottom Rectangular Prism) = 6 × 4 × 2 = 48

Now, we add those two volumes together to get the volume of the irregular figure.

16 + 48 = 64.

The volume of the irregular figure is 64 [tex]cm^3[/tex]

#teamtrees #PAW (Plant And Water)

help me out thank you so much whoever does!!

Answers

Answer:

oh wait i got it! those are oppisite from eachother so theyre angle is the same. the answer would be 59°

Answer:

b=59º

Step-by-step explanation:

Vertical angle theorem states that if angles are vertical, they are congruent.

Check out this rectangular prism

Find the surface area of the rectangular prism (above) using its net (below).

Answers

Answer:

52

Step-by-step explanation:

Used hint.

Answer:

52

Step-by-step explanation:

if you are on khan or on something else it is 52

You have an ice cream cone that is 6 inches tall with a radius of 2 inches. The cone is completely filled with ice cream. There is also a spherical scoop of ice cream on top of the cone with a radius of 3 inches. How much ice cream do you have total in terms of \piπ?

Answers

get the exact answer from bjisbs.net

need help pls I give 20 points out

Answers

Yes anything will fit if you make it fit

Find the area of the shaded regions below. Give your answer as a completely simplified exact value in terms of pi

Answers

Answer:

18π cm²

Step-by-step explanation:

The area of the shaded region = Area of Sector

Radius, r =

The value of θ = 80°

Recall :

Area of Sector :

A = θ / 360 * πr²

A = (80 / 360) * π * 9²

A = 0.222222 * π * 81

A = 18π cm²

If a basketball player makes 9 baskets in 12 tries, what is her ratio of baskets to tries, in lowest terms?

Answers

Answer:

3:4

Step-by-step explanation:

9:12

divide both by 3 to get

3:4

Answer:

3 : 4

Step-by-step explanation:

9 : 12

divide each side by three

3 : 4

What is the measure of angle Y?

Answers

Answer:

what's the question

Step-by-step explanation:

is there a photo you can post we need more info

There are 48 students in a class and 6 of them are girls. What percent are boys

Answers

Answer:

87.5%

Step-by-step explanation:

If there are 48 students in total and 6 girls, then the remaining students are  boys

The number of boys = 48 - 6 = 42

Now, calculate the %

42/48 x 100 = 7/8 x 100 = 87.5%

Hope this helps

If there are 48 students in a class and 6 of them are girls then the percentage of boys in the class is 87.5%,

Use the concept of percentage defined as:

A figure or ratio that may be stated as a fraction of 100 is a percentage. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100.

The proportion, therefore, refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.

Given that,

Number of students = 48

Number of girls = 6

Then number of boys = 48 - 6

The number of boys = 42

Therefore,

The percentage of boys in the class is,

[tex]\dfrac{42}{48}\times 100= 87.5 \text{ percent}[/tex]

Hence,

There are 87.5 percent of boys in the class.

To learn more about the percentage visit:

https://brainly.com/question/24877689

#SPJ6

HELP PLEASE ASAP!!!!!!!!!!!!

Answers

Answer:

a = 2, b = 3

Step-by-step explanation:

The opposite sides of a parallelogram are congruent , so

3a + 11 = a + 15 ( subtract a from both sides )

2a + 11 = 15 ( subtract 11 from both sides )

2a = 4 ( divide both sides by 2 )

a = 2

and

3b + 5 = b + 11 ( subtract b from both sides )

2b + 5 = 11 ( subtract 5 from both sides )

2b = 6 ( divide both sides by 2 )

b = 3

I need help. i cant figure it out. please someone help.

Answers

Answer:

Step-by-step explanation:

Answer:

.eooekekenenenenesususu

Simplify completely.
(2 + 3i) + (-4+i)

Answers

Answer:

-2+4i

Step-by-step explanation:

Simplify by combining the real and imaginary parts of each expression.

The simplified form of the complex expression is -2 + 4i.

What are Complex Numbers?

Complex numbers are numbers which are of the form [tex]a+ib[/tex],

where a and b are real numbers and i is the imaginary number called iota whose value is [tex]i^{2}[/tex] = -1.

Given expression is (2 + 3i) + (-4 + i).

Addition of complex numbers is defined as,

(a + ib) + (a' + ib') = (a + a') + i(b + b')

Using the definition of addition of complex numbers, given expression can be added as,

(2 + 3i) + (-4 + i) = (2 + -4) + i(3 + 1) = -2 + 4i

Hence the resulting value is -2 + 4i.

To learn more about Complex Numbers, click on the link given below :

https://brainly.com/question/28007020

#SPJ2

The measure of ABD is (0.18x + 67) degrees and the measure of CBD is (0.07 + 48) degrees. Find the value of X

Answers

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]ABD = 0.18x +67[/tex]

[tex]CBD = 0.07x + 48[/tex]

Required

Find x

The question is incomplete as the relationship between ABD and CBD is not stated.

Assume ABD = CBD

The solution is:

[tex]0.18x + 67 = 0.07x + 48[/tex]

Collect like terms

[tex]0.18x - 0.07x= - 67 + 48[/tex]

[tex]0.11x= -19[/tex]

Solve for x

[tex]x = -\frac{19}{0.11}[/tex]

[tex]x = -172.72[/tex]

Assume ABD and CBD are supplementary

The solution is:

[tex]ABD + CBD=180[/tex]

[tex]0.18x + 67 + 0.07x + 48 = 180[/tex]

Collect like terms

[tex]0.18x + 0.07x = - 48 - 67 + 180[/tex]

[tex]0.25x = 65[/tex]

Solve for x

[tex]x = \frac{65}{0.25}[/tex]

[tex]x = 260[/tex]

Assume ABD and CBD are complementary

The solution is:

[tex]ABD + CBD=90[/tex]

[tex]0.18x + 67 + 0.07x + 48 = 90[/tex]

Collect like terms

[tex]0.18x + 0.07x = - 48 - 67 + 90[/tex]

[tex]0.25x = -25[/tex]

Solve for x

[tex]x = \frac{-25}{0.25}[/tex]

[tex]x = -100[/tex]

can someone help please??

Answers

Answer:

iput the equation into my calculator and i graphed it and found the roost

Step-by-step explanation:

the answer is d

Yesterday, there were 100 problems assigned for math homework. Deb did 70% of them
correctly. How many problems did Deb get right?
problems
Submit
Worltout

Answers

Answer:

70 problems are correct

Step-by-step explanation:

4x4+4x3-9x2-x+2 = x-1

Answers

x=6 1/2 or 13/2 or 6.5

Help me please I don’t know the answer

Answers

(1.9x1)+(1.9x5.6)=12.54
The answer is 12.54 cm^2 (the second option)

Use the distance formula to find the distance between each PowerPoint round to the nearest 10th if necessary

Answers

Answer:

Step-by-step explanation:

Distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by the formula,

Distance = [tex]\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]

a). A(-6, -4), B(-3, -1)

Distance between A and B = [tex]\sqrt{(-6+3)^2+(-4+1)^2}[/tex]

                                             = [tex]\sqrt{9+9}[/tex]

                                             = 3√2

                                             = 4.2 units

b). C(3.5, 1), D(-4, 2.5)

Distance between C and D = [tex]\sqrt{(3.5+4)^2+(1-2.5)^2}[/tex]

                                              = [tex]\sqrt{58.5}[/tex]

                                              = 7.65

                                              ≈ 7.7 units

c). Distance between X(5, -5) and Y(-5, 5)

    Distance = [tex]\sqrt{(5+5)^2+(-5-5)^2}[/tex]

                    = [tex]\sqrt{200}[/tex]

                    = 10√2

                    = 14.14

                    ≈ 14.1 units

Anju had 3 (3 / 4) cup of sugar . She used 1 (2 / 3 )cup of sugar to bake a cake . How mush sugar does anju have lift ?

Answers

Answer:

[tex]y=\frac{1}{12} cup\ of\ suger[/tex]

Step-by-step explanation:

From the question we are told that:

Sample size [tex]n=3(3/4)=9/12[/tex]

Amount used [tex]x=1(2/3)=2/3[/tex]

 

Generally the equation for sugar lift [tex]y[/tex] is given as is mathematically given by

 [tex]y=n-x[/tex]

 [tex]y=\frac{9}{12} -\frac{2}{3}[/tex]

 [tex]y=\frac{1}{12}[/tex]

The bank requires a minimum of $50 in the savings account.

it does not matter how much money is kept in the checking account

x represents the amount of money in the checking account and y represents the amount of money in the savings account.

what solution to the inequality?

Answers

Answer:

y50

(y is greater than or equal to 50 dollars)

Step-by-step explanation:

We don't need X as the amount in the checking account doesn't matter, so and Y must be equal to or greater than 50, so the answer is y≥50

Which quadrant point (0,2) is located in the coordinate plane

Answers

Answer: It would be on the first quadrant plane or I quadrant

Step-by-step explanation: first the x 0 so you do nothing then y says go up 2 so you do and you end up in the first quadrant place hope this helps

find the area of parallelogram

Answers

Answer:

42ft squared

Step-by-step explanation:

formula:

a = b x h

Answer:

42 feet squared

Step-by-step explanation:

the formula of a parallelogram is a=bh.Plug in the numbers given and you will end up with 42

A four day camping trip costs 800$. The camper rental fee was 340$. Also included were four camper tickets. How much was each ticket?

Answers

Answer:

$115 each

Step-by-step explanation:

(800 - 340)/4 = 115

1
2.
-
3
C
4
5 »
What is the product of the 4th square number and the 2nd square
number?​

Answers

4th square = 16

2nd square = 4

16×4

=64

which set of ordered pairs is a function?

Answers

Answer:

I believe the third option is correct!

{(-5,1), (-3,2), (-1,3), (1,4), (3,5)}

Hope this helps!

Please help! If you do you get 'Brainliest'

Answers

Answer:

D

Step-by-step explanation:

when dealing with percentages move the decimal back two to get its absolute value

What is the equation of the line that passes through the point ( − 0.5 , 8 ) and has a slope of − 5

Answers

Answer (assuming that the equation can be written in point-slope form):

[tex]y-8 = -5(x+\frac{1}{2} )[/tex]

Step-by-step explanation:

Use the point-slope formula, [tex]y-y_1 = m (x-x_1)[/tex] , to write the equation of the line in point-slope form. Substitute values for the [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] in the formula.

Since [tex]m[/tex] represents the slope, substitute -5 in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line intersects, substitute the x and y values of (-0.5, 8) into the formula as well. Remember that we can convert -0.5 to a fraction: [tex]-\frac{1}{2}[/tex]. So, substitute [tex]-\frac{1}{2}[/tex] for [tex]x_1[/tex] and 8 for [tex]y_1[/tex]. This gives the following answer and equation:

[tex]y-8 = -5(x+\frac{1}{2} )[/tex]    

chad randomly chooses a card from a standard deck 30 times. what is the probability he gets a diamond exactly 4 times

Answers

Answer:

From a standard deck of cards, one card is drawn. What is the probability that the card is black and a jack? P(Black and Jack) P(Black) = 26/52 or ½ , P(Jack) is 4/52 or 1/13 so P(Black and Jack) = ½ * 1/13 = 1/26 A standard deck of cards is shuffled and one card is drawn. Find the probability that the card is a queen or an ace.

Step-by-step explanation:

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