The number of mosquitoes in anchorage, alaska (in millions of mosquitoes) as a function of rainfall (in centimeters) is modeled by: m(x)=-x^2+14xm(x)=−x 2 +14xm, left parenthesis, x, right parenthesis, equals, minus, x, start superscript, 2, end superscript, plus, 14, x how many centimeters of rain will produce the maximum number of mosquitoes?

Answers

Answer 1

m (x) = - x ^ 2 + 14x
To find the maximum function, the first thing to do is to obtain the first derivative:
m '(x) = - 2x + 14
We match zero:
0 = -2x + 14
We clear x:
x = 14/2 = 7
x = 7

We verify that this value is a maximum through the second derivative:
m '' (x) = - 2
m '' (7) = - 2 (<0 therefore it is a maximum)

Answer:
7 centimeters of rain will produce the maximum number of mosquitoes.

Answer 2

Answer:

Step-by-step explanation:

49 million misquitos

Related Questions

△ABC is similar to △RST . In addition, m∠C=76° and m∠S=3(m∠A) . What is m∠A ? Enter your answer in the box.

Answers

∠A = 26, I took this test

Answer:

∠A = 26°

Explanation:

If two angles of a triangle have measures equal to the measures of two angles of another triangle, then the triangles are similar. In case of similar triangle, corresponding angles are congruent.

Angle ∠C = 76

So, ∠T = 76 because of corresponding angle.

Given that,

m∠S=3(m∠A)

We know that,

∠S ≅ ∠B

That means ∠B = 3 (∠A)

Sum of angles in a triangle = 180°

∠A + ∠B + ∠C = 180°

∠A + 3∠A + 76° = 180°

4∠A = 180° - 76°

4∠A = 104°

∠A = [tex] \frac{104}{4} [/tex]

∠A = 26°

Final answer.

Farmer Fran has some cows and some hens. Between them, they have 52 legs and 38 eyes. How many hens does Farmer Fran have? How many cows does Farmer Fran have?

Answers

Number of cows: c=?
Number of hens: h=?

Total number of legs: 4c+2h=52 (1)
Total number of eyes: 2c+2h=38 (2)

Subtracting equations (1) and (2)
4c+2h-(2c+2h)=52-38
4c+2h-2c-2h=14
2c=14
2c/2=14/2
c=7

Replacing c=7 in equation (2)
2(7)+2h=38
14+2h=38
14+2h-14=38-14
2h=24
2h/2=24/2
h=12

Answers:
Farmer Fran has 12 hens
Farmer Fran has 7 cows

Which statements correctly use the properties of exponents to simplify? Check all that apply.

(xy2)2 = x2y4
x3x3 = x6
3y–2 =
2(x2)3 = 8x6
–x2(–x3) = –x6

Answers

the first one, second, and third

Answer:

1 2 and 3

Step-by-step explanation:

What are the values of a and b in the equation (4x^a)^b = 256/x^8

Answers

b = 4 and a = -2

(4x^-2)^4
= 4^4 x^-8
= 4^4 / x^8
= 256/x^8

Answer:

The value of a is -2 and the value of b is 4.

Step-by-step explanation:

Given expression is,

[tex](4x^a)^b = \frac{256}{x^8}[/tex]

Using [tex](ab)^m=a^m.b^n[/tex] on left side,

[tex]4^b(x)^{ab}=\frac{4^4}{x^8}[/tex] ( [tex]4^4 = 256[/tex] )

Using [tex]a^m=\frac{1}{a^{-m}}[/tex],

[tex]4^b(x)^{ab}=4^4 (x)^{-8}[/tex]

By comparing both sides,

We get,

b = 4 and ab = -8

⇒ a = -2

Hence, the value of a is -2 and the value of b is 4.

A tessellation is a (blank) patterns of figures?
reflecting
repeating
symmetrical,

Answers

the answer is symmetrical

2. Which is equal to log6?

log26

log62

log610

log106,

Answers

The Value of Log(6) = 0.77815125 the values given in different forms of Log are independent from each other and thus do not match any of the other listed values.

what is the sum of
2(5a-4a)+6a

Answers

The first step you would take is to combine all like terms in the parentheses.
5a - 4a = a
Then you would multiply 2 by a, which would equal 2a.
Finally, combine all like terms (all terms with a), to get 8a. (2a + 6a = 8a)
Hope this helps!

Hey there :)

We need to open the brackets and distribute the 2
However, we can see that both the terms within the parenthesis are like terms

5a - 4a = 1a or a

2(1a) + 6a

2a + 6a We can combine the like terms
= 8a

someone please help :(

Answers

The answer would be answer choice a.

Because 5/4 = 1.25
tan (51) = 1.235
tan (45) = 1
tan (60) = 1.732
tan (57) = 1.5399

The closest to 1.25 is tan (51)

Hope this helps :)

How many solutions does the system have?

{y = −2x + 2
y = x^2 − 3x

Enter your answer in the box.

________

Answers

Answer:

The system has two solution

Step-by-step explanation:

we have

[tex]y=-2x+2[/tex] ----> equation A

[tex]y=x^{2}-3x[/tex] ----> equation B

Solve the system of equations by graphing

Remember that

The solution of the system of equations is the intersection point both graphs

There are two point of intersection between the two graphs

see the attached figure

therefore

The system has two solution

what effect does the value of the coefficient of x^2 have on the graph?

Answers

as the coefficient increases, the graph shrinks.
ex.)
for the graph of x^2, 5 of your data points will be (0,0),(1,1),(2,4),(3,9),(4,16)

when you multiply by a coefficient,
ex.)
for the graph of ax^2, a being a stand in for the coefficient, 5 of your data points will be (0,a×0), (1,a×1), (2,a×4), (3, a×9), (4,a×16)

if your coefficient,a, is equal to 4 your data points become: (0,0),(1,4),(2,8),(3,36),(4,64)

if you graph it out you will notice that your graph rises faster and faster incompariaon to the original.

hope this helps good luck

What is the term for a Wage and Tax statement and what is it’s purpose?

Answers

Most commonly referred to as a W-2. This form shows the amount of an individual's earnings and deductions.

Find the product by using the FOIL method

(11z-5y)(3z+2y)

Plz help!

Answers

33z squared -10y squared + 7zy

= 33z^2+7zy-10y^2 thats the answer

Find the equation for the line that passes through the point (−1,2), and that is parallel to the line with the equation 3/2x−2y=2.

Answers

You can start with
.. (3/2)(x +1) -2(y -2) = 0 . . . . . the given line translated to the point (-1, 2)
.. 3(x +1) -4(y -2) = 0 . . . . . . . . multiply by 2
.. 3x +3 -4y +8 = 0 . . . . . . . . . eliminate parentheses
.. 3x -4y = -11 . . . . . . . . . . . . . . put in standard form (not necessary, but prettier)

Maria plans to fill pots in her garden with soil and plant food. Maria has 8 1/2 quarts of soil as 1 1/2 quarts of plant food. Each pot requires 3/4 quart of soil. For how many pots does Maria have enough soil?

Answers

1. You have the following information:

- Maria has 8 1/2 quarts of soil.
- Each pot requires 3/4 quart of soil.

2. Keeping this on mind, you can convert the mixed number 8 1/2 and the fracion 3/4 to decimals, as below:

8 1/2=8.5 quarts
3/4=0.75 quarts

3. Therefore, you have:

1 pot-----0.75 quarts
x-----8.5 quarts

x=(8.5x1)/0.75
x=11 pots

For how many pots does Maria have enough soil?

The answer is: 11 pots

Find the value of z.

Answers

It we’ll be number 3

Which of the following points lies on the graph

Answers

Plug in each point. If both sides of the equation are true, then the point is on the graph.

(-3, 21)

y = x^2-2x+6
21 = (-3)^2-2(-3)+6
21=9+6+6
21=21

That works. If you are not 100% confident with your arithmetic, you can plug in the other points.

If the intquantity and decprice variables contain the numbers 3 and 15.75, respectively, the condition if intquantity > 0 andalso intquantity < 10 orelse decprice > 20 will evaluate to

Answers

if intquantity > 0 andalso intquantity < 10 orelse decprice > 20
expression evaluates to
(3>0 and 15.75<10 or 15.75>20)
which, using priority of operations, "and" has a higher precedence than "or",
=>
( (3>0 and 15.75<10) or 15.75>20)
=>
( false or false )
=>
false

ASAP Plz what is the value of x? Plz no joking around this is from quiz 4.09: Special Right Triangles 2

Answers

Ooh this is a good one!
Firstly, let's find RT so that we can solve the top triangle.
We could actually use 3 methods to find this side: 1) trig to find RT
2) trig to find ST, then Pythagorean Theorem to determine RT
3) use the special 30-60-90 right triangle rule ... hmm, I'm going with the last because it's easiest ;)

For 30-60-90 triangles, the sides are always as follows: smallest side (opposite the 30) is s, the middle side is sSR3, and the hypotenuse is 2×s
Thus, since we have the side opposite 60, it is = sSR3, so:
[tex]s \sqrt{3} = 2 \sqrt{3} \\ s \sqrt{3} \div \sqrt{3} = 2 \sqrt{3} \div \sqrt{3} \\ s = 2[/tex]
So now, the hypotenuse (RT) = 2s = 2(2) = 4

Secondly, we are looking at the other type of special right triangle, the 45-45-90:
The side opposite the 45s are s (remember side lengths are equal whose opposite angles are equal); and the hypotenuse is always
[tex]s \sqrt{2} [/tex]
we only need QR, which is s, which is also = RT
So the answer is:
QR = x = 4

x = 4 IS THE FINAL ANSWER!!!

[ i hope by my explanations you understand how better to do special right triangles in the future] :-D

Answer: The correct answer is 4

Step-by-step explanation:

Here is proof from the quiz

Find the lengths of x and y.

Answers

see the attached figure to better understand the problem

we know that

in the triangle ABD
applying the Pythagorean theorem
y²=3³+4²---------> y²=25------------> y=5 units
tan alfa=4/3-----------> equation 1

in the triangle BDC
tan alfa=DC/BD----------> tan alfa=(x-3)/4------------> equation 2

matching equations 1 and 2
4/3=(x-3)/4---------> 4*4=3*(x-3)--------> 16=3x-9---------> 3x=25----> x=25/3 units

the answer is
x=25/3 units
y=5 units

Im learning Polynomials and we are learning the strategy grouping, can anyone please explain how to group polynomials and maybe give an example :) greatly appreciated

Answers

Grouping is when you have to terms that are the same inside the parenthesis and a different or same number outside the parenthesis and then the one inside the parenthesis u are going to group them not combined them and write them once and the numbers inside the parenthesis group them together by adding them and put parenthesis between them

Ex
5(4x+1)10(4x+1)
(5+10)(4x+1)

Grouping can mean different things in different contexts. In simple cases, polynomials are written in such a way that all you need to do is add parentheses to make groups. Usually we are interested in doing this so we can factor or simlify the result.

Example
x^2 +2x +3x +6
(x^2 +2x) +(3x +6) . . . . parentheses added to group pairs of terms
x(x +2) +3(x +2) . . . . . . common factor pulled from the terms of each group
(x +3)(x +2) . . . . . . . . . common factor removed to give factored result

What’s the value of x worth 15 points!

Answers

3x - 15 = 2x + 24
Opposite angles of a parallelogram are equal. You get a hint of that from the 2 acute angles which are both 2x.

Add 15 to both sides.
3x = 2x + 24 + 15
3x = 2x + 39 Subtract 2x from both sides.
3x - 2x = 39
x = 39

Hi there! :)

Answer:

x=39

*The answer must have a positive sign.*

Step-by-step explanation:

When the 2 acute angles in which means you had to used 2x from both sides of an equation.

First, only had to do is, add by 15 from both sides of an equation.

[tex]3x-15+15=2x+24+15[/tex]

Then, you add by the numbers from left to right.

[tex]24+15=39[/tex]

[tex]3x=2x+39[/tex]

Next, you subtract by 2x from both sides of an equation.

[tex]3x-2x=2x+39-2x[/tex]

Finally, you simplify.

[tex]x=39[/tex]

Final answer is x=39

Hope this helps!

Thanks!

Have a nice day! :)

-Charlie

Suppose a population of 175 crayfish doubles in size every month. the function f(x) = 175(2x) gives the population after x months. how many crayfish will there be after 1 year?

Answers

The first thing we will do in this case is to rewrite the expression correctly.
We have then:
f (x) = 175 * (2 ^ x)
Then, you should know that 1 year contains 12 months.
So we have that for x = 12:
f (12) = 175 * (2 ^ 12)
f (12) = 716800
Answer:
there will be 716800 crayfishes after 1 year

1. _____ is exchanging one good for another without using money.
Credit
Barter
Negotiating
Brokering
2. A _____ has to be paid in full on the due date. (1 point)
Charge card
Credit card
Debit card
Check card
3. The _____ is the original amount owed on a loan. (1 point)
Loan due
Interest
Available balance
Principal
4. APR is used to calculate the _____. (1 point)
Loan amount
Interest accrued
Principal
Future earnings,

Answers

Barter is exchanging one good for another without using money. .A Credit card has to be paid in full on the due date. The Principal is the original amount owed on a loan. APR is used to calculate the Interest accrued.

The answers are:

1. Barter

2. charge card

3. principal

4. interest accured

12pts BRAINLIEST, THX, AND RATE AVAILABLE TO CORRECT ANSWER.

PLEASE HELP ME ON THIS

****RANDOM ANSWERS WILL BE REPORTED****

Answers

just get percentage, multiply by number of years, and add it to the base hope this helps and please give me brainliest

Find the volume of the box. use the formula v = lwh. rectangular box with three sides visible, having width, length, and height of x plus two, two x minus one, and three x plus one respectively
a. 6x3 – 2
b. 6x2 – 13x2 – 3x – 2
c. 6x2– x – 1
d. 6x3 + 11x2 – 3x – 2

Answers

x + 2, 2x-1, 3x+1
Multiplying these all together will result in
6x^3+11x^2−3x−2
Making the answer option D.

The expression for the volume of the box is given by 6x³+11x²-3x-2

What is volume?

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.

Given that, rectangular box with three sides visible, having width, length, and height of x plus two, two x minus one, and three x plus one

Height = x+2

Width = 2x+1

Length = 3x+1

Volume = HxLxW

Volume = (x+2)(2x+1)(3x+1)

= 2x²-x+4x-2(3x+1)

= (2x²+3x-2)(3x+1)

= 6x³+11x²-3x-2

Hence, The expression for the volume of the box is given by 6x³+11x²-3x-2

For more references on volume, click;

https://brainly.com/question/13338592

#SPJ2

You buy 3 grapefruits for $1.50, a pound of apples for $.79, some grapes for $2.50, and some bananas for $1.21. Find the total cost of the fruit.

Answers

In all, the cost would be $6

6 dollars is the answer because 1.5 + .79+ 2.5+ 1.21= 6 in total.

Happy studying!

Sara is 8 years old and her mom is 34 years old. In how many years will Sara be twice as young as her mom will be?

If x is the number of years, then the equation is ______
The answer is _____

Answers

Sara = 8 years old
Mom = 34 years old

Let the number of years be x when Sara will be twice as young as her mom will be.
2(8 + x) = 34 + x
16 + 2x = 34 + x
2x - x = 34 - 16
x = 18

Answer:
If x is the number of years, then the equation is 2(8 + x) = 34 + x
The answer is 18

Let $G$ denote the centroid of triangle $ABC$. If triangle $ABG$ is equilateral with side length 2, then determine the perimeter of triangle $ABC$. 99 points! for right answer!

Answers

Hey there!

You are trying to find the perimeter of triangle ABC. Each side is 2. Since there are 3 sides on a triangle, multiply 2 by 3 to get 6. You do not need the centroid for this problem.

I hope this helps!

Find the area of a triangle with a base length of 3 units and a height of 4 units.

Answers

I will love to help you with this ! So You would use this formula A=1/2b*h

So these are given so we plug them in

A=1/2(3)(4)
A=6 units

Hi there!

To find the area of a triangle, we need to multiply the base and the height of the triangle and divide the product by 2.

So, the expression we would use to solve this is (3 * 4) / 2.

Let's solve:

(3 * 4) / 2
= 12 / 2
= 6

So, the area of the triangle is 6 units squared.

Hope this helps!

In the Citizens United case the Supreme Court interpreted political donations as __________.

Answers

In the Citizens United case the Supreme Court interpreted political donations as __________.
A) only allowable for low-income candidates

B) a restriction on equal access to democracy

C) a form of speech protected by the Constitution

D) an unconstitutional influence over policymakers

Answer: C) a form of speech protected by the Constitution

Page Reference: 33 Learning
Objective: 2.2 Topic/A-head: Political System:
Links Between Wealth and Power
Skill Level: Understand the Concepts

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