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, squared, plus, 14, x What is the maximum possible number of mosquitoes?

Answers

Answer 1

Answer:

The maximum number of mosquitoes is 7

Step-by-step explanation:

Given

[tex]m(x)= x^2 + 14x[/tex]

Required

Determine the maximum number of the function

First, we differentiate the given function w.r.t x

[tex]m'(x) = -2x + 14[/tex]

Then, we equate m'(x) to 0

[tex]0 = -2x + 14[/tex]

Lastly, we solve for x

[tex]0 = -2x + 14[/tex]

Make 2x the subject

[tex]2x = 14[/tex]

Make x the subject

[tex]x = 14/2[/tex]

[tex]x = 7[/tex]

Answer 2

Answer:

49 Million

Step-by-step explanation:


Related Questions

8 - (7/10)t = 6 - (1/5)t

Answers

Answer:

t = 4

Step-by-step explanation:

Solve for t:

8 - (7 t)/10 = 6 - t/5

Hint: | Put the fractions in 8 - (7 t)/10 over a common denominator.

Put each term in 8 - (7 t)/10 over the common denominator 10: 8 - (7 t)/10 = 80/10 - (7 t)/10:

80/10 - (7 t)/10 = 6 - t/5

Hint: | Combine 80/10 - (7 t)/10 into a single fraction.

80/10 - (7 t)/10 = (80 - 7 t)/10:

1/10 (80 - 7 t) = 6 - t/5

Hint: | Put the fractions in 6 - t/5 over a common denominator.

Put each term in 6 - t/5 over the common denominator 5: 6 - t/5 = 30/5 - t/5:

(80 - 7 t)/10 = 30/5 - t/5

Hint: | Combine 30/5 - t/5 into a single fraction.

30/5 - t/5 = (30 - t)/5:

(80 - 7 t)/10 = (30 - t)/5

Hint: | Make (80 - 7 t)/10 = (30 - t)/5 simpler by multiplying both sides by a constant.

Multiply both sides by 10:

(10 (80 - 7 t))/10 = (10 (30 - t))/5

Hint: | Cancel common terms in the numerator and denominator of (10 (80 - 7 t))/10.

(10 (80 - 7 t))/10 = 10/10×(80 - 7 t) = 80 - 7 t:

80 - 7 t = (10 (30 - t))/5

Hint: | In (10 (30 - t))/5, divide 10 in the numerator by 5 in the denominator.

10/5 = (5×2)/5 = 2:

80 - 7 t = 2 (30 - t)

Hint: | Write the linear polynomial on the left hand side in standard form.

Expand out terms of the right hand side:

80 - 7 t = 60 - 2 t

Hint: | Move terms with t to the left hand side.

Add 2 t to both sides:

2 t - 7 t + 80 = (2 t - 2 t) + 60

Hint: | Look for the difference of two identical terms.

2 t - 2 t = 0:

2 t - 7 t + 80 = 60

Hint: | Group like terms in 2 t - 7 t + 80.

Grouping like terms, 2 t - 7 t + 80 = 80 + (2 t - 7 t):

80 + (2 t - 7 t) = 60

Hint: | Combine like terms in 2 t - 7 t.

2 t - 7 t = -5 t:

-5 t + 80 = 60

Hint: | Isolate terms with t to the left hand side.

Subtract 80 from both sides:

(80 - 80) - 5 t = 60 - 80

Hint: | Look for the difference of two identical terms.

80 - 80 = 0:

-5 t = 60 - 80

Hint: | Evaluate 60 - 80.

60 - 80 = -20:

-5 t = -20

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of -5 t = -20 by -5:

(-5 t)/(-5) = (-20)/(-5)

Hint: | Any nonzero number divided by itself is one.

(-5)/(-5) = 1:

t = (-20)/(-5)

Hint: | Reduce (-20)/(-5) to lowest terms. Start by finding the GCD of -20 and -5.

The gcd of -20 and -5 is -5, so (-20)/(-5) = (-5×4)/(-5×1) = (-5)/(-5)×4 = 4:

Answer: t = 4

Please help!! Will give u brainliest!

Answers

Answer:

you were right !!!! :))))

That is the right answer

A submarine dives below the surface, heading downward in six moves. If each move downward was 180 feet, where is the submarine after it is finished diving?

Answers

The answer is 12,0000000000

The student scored 25 points out of 45. What was their percentage (grade)?

Answers

Answer:

56%

Step-by-step explanation:

25/45=0.5555555555... rounded to 56%

22) Answer the inequality statement relating the two angles. Also please don’t answer if you don’t know it but if you do I’ll mark you as brainiest!

A) <
B) =
C) >
D) None of the above

Answers

Answer:

A) <

angle X is greater .

Step-by-step explanation:

really don't know how to...

Answer:

> im pretty sure mke sure you pay attention in class if im not correct

Step-by-step explanation:

.

solve the system using elimination.
3x+3y=27
x-3y=-11

Answers

3x+3y=27
x-3y= -11

-x-y=-9
x-3y=-11

-4y= -20
y= 5

x-3•5= -11
x=4

(x,y)= (4,5)

Shawna cuts out a square piece of card stock paper for a project. Her partner Tanisha wants to check to see if the cutout is actually a square. Tanisha checks to see if the diagonals are congruent. Does this determine if the piece of card stack paper is an actual square? Justify your answer.

Answers

Answer:

Yes

Step-by-step explanation:

Reason is that a square has all the aspects of a parallelogram a rectangle and a rhombus. It gets its congruent diagonals from the rectangle which is congruent

uhhhhhhhhhhhhhhhhhh i hateeee my lifeeeeeeeeeeeee

Answers

Answer:

I don't get what to answer because this is not a proper question?

Step-by-step explanation:

Why do you hate your life. It can't be that bad.

6 miles is about how many km?

Answers

Answer: 6 miles is 9.656064km

what do we call the point in the coordinate system?

A.abcissa
B.ordinate
C.quadrants
D.ordered pair​

Answers

D. It is called the ordered pair

help asap please !!!

Answers

Answer:

ROTATION

Step-by-step explanation:

I’m not sure, but I kinda have a feeling is b or d. Good luck!

Write a percent equation that can be used to solve the following problem: 25 is what percent of 350?
A. n = 25 × 350
B. 350 = p × 25
C. 0.25 = p × 350
D. none of these

Answers

The answer is D because just trust me

The number of bacteria at the beginning of an experiment was 30 and the bacteria
grow at an hourly rate of 1.4 percent. Using the model given by A(t) = A0e

kt, estimate

the number of bacteria, rounded to the nearest whole number after 20 hours.

Answers

Answer: what is the question and answer choices

Step-by-step explanation:

-10=-10+ 7m
What is the answer?

Answers

Answer:

0 = 7m

0 = m

m = 0

It is 0 because first you would have to cancel -10 on both of the sides then divide both of the sides by 7 then switch the sides which is 0

The result of the equation -10 = -10 + 7m is m = 0

The given equation is:

-10  =  -10   +  7m

Add 10 to both sides of the equation

-10  +  10   =  -10  +  10  +  7m

0   =   7m

Rewrite the equation as:

7m   =  0

Divide both sides of the equation

7m/7   =  0/7

m  =  0

This is because 0 divided by any number is 0

Therefore, the result of the equation -10 = -10 + 7m is m = 0

Learn more here: https://brainly.com/question/19639998

(-6)(2) + (-8÷4) what is the anwer?

Answers

Answer:

-14

Step-by-step explanation:

(-6)(2)= -12

(-8÷4)= -2

-12+(-2)= -14

A jar contains 12 red marbles numbered 1 to 12 and 10 blue marbles numbered 1 to 10. A marble is drawn at random from the jar. Find the probability of the given event. (a) The marble is red

Answers

Answer:

6/11

Step-by-step explanation:

Step one:

given data

sample space

red marbles= 12

blue marbles= 10

sample size= 12+10

sample size= 22

Step two:

Required

Find the probability of the given event. (a) The marble is red

Let the probabiilty be P(R)

P(R)= 12/22

P(R)= 6/11

steve saw 313 birds during a bird-watching trip to Yellowstone National park. he observes 15 more trumpeter swans than sandhill cranes. he saw twice as many mountain chickadees as ducky grouses. how many birds of each type did steve observe if he saw half as many trumpeter swans as ducky grouses

Answers

Answer:

trumpeter swans = 41sandhill cranes = 26mountain chickadees = 164ducky grouses = 82

Step-by-step explanation:

Total number of birds = 313

trumpeter swans = ssandhill cranes = cmountain chickadees = mducky grouses = g

We have equations below based on given:

s = c + 15

m = 2g ⇒ m = 2(2s) = 4s ⇒ m = 4(c + 15)g = 2s ⇒ g = 2(c + 15)s + c + m + g = 313

Substituting m, g and s as above in the last equation and finding the value of c:

c + 15 + c + 2(c + 15) + 4(c + 15) = 3137(c + 15) + c = 3137c + c + 105 = 3138c = 313 - 1058c = 208c = 208/8c = 26

Then finding the other values:

s = 26 + 15 = 41g = 2s = 2*41 = 82m = 2g = 2*82 = 164

Ast year, Saleh opened an investment account with $8600. At the end of the year, the amount in the account had decreased by 23.5%. How much is this decrease in dollars? How much money was in his account at the end of last year?

Answers

Given:

Initial amount = $8600

The amount in the account had decreased by 23.5%.

To find:

Decrease in amount and amount at the end of last year.

Solution:

The amount in the account had decreased by 23.5%. So,

Decreased amount = 23.5% of 8600

[tex]=\dfrac{23.5}{100}\times 8600[/tex]

[tex]=23.5\times 86[/tex]

[tex]=2021[/tex]

Now, the amount at the end of the last year is

Amount = Initial value - Decreased value

[tex]Amount=8600-2021[/tex]

[tex]Amount=6579[/tex]

Therefore, the decreased value is $2021 and the amount at the end of last year is $6579.

three softball players wrote down their batting average:
Amy wrote 12 of 30
Sue wrote .34
kit wrote 9/21
who is a better hitter?​

Answers

Answer:

the better hitter is Kit is the better hitter

Step-by-step explanation:

9/21 is the greatest so hope that helps.

25 ate only breakfast, 15 ate only lunch, 50 ate only dinner, 60 ate only lunch and breakfast, 225 ate only lunch and dinner, 500 ate only dinner and breakfast, 240 ate all three meals in the cafeteria.
. P(did not eat in the cafeteria) what is the possibility

Answers

Answer:so u asking how much was ate total?

Step-by-step explanation:

factorise completely 3m^2-48​

Answers

Answer:

3 (m^2 - 16)

Step-by-step explanation:

factoring means taking out a common multiple of all the terms in the expression

in this case, if you multiply 3 and m^2, 3 and -16, you would get 3m^2-48​

so you take the three and put it outside of the parenthesis that contains the factored terms

this leaves you with 3 (m^2 - 16)

Instructions: Use proportions to answer each of these word problems. You can use a calculator.
1
If 2 liters of sea water contain 70
grams of salt, how much salt is in 32
liters of sea water?
2 If it takes 930 kg of food to feed a pair
of elephants for 3 days, how much food
would you need to feed them for a week?
70 grams
n grams
3
2 liters
32 liters
If a fuel efficient car can go 210 miles
on 4 gallons of fuel, how far can it go
on 12 gallons?
70 x 32 = 2xn
2,240 = Xxn
2 &
If a farmer gets 340 bushels of corn
from 2 acres of land, how many bushels
can they get from 15 acres?
n = 1,120 grams
5
A factory can make 20 toasters in a
half-hour (0.5 hrs) How many toasters
can the factory make in 6.5 hours?
6
On a scaled drawing, a building measures
4.5 cm tall. If the scale of the drawing is
25 meters per 2 cm, how tall is the actual
building?

Answers

if i do all that, you need to give me more point bc this needs more points

uses long wavelength energy in the electromagnetic spectrum to reflect waves to a receiver and form images from space​

Answers

Step-by-step explanation:

Since the last reflecting off glass

Renate wins a $20 gift card to an online music site. After Renetta purchased 16 songs, the gift card has a remaining balance of zero dollars. Which equation represents the relationship between Y, the remaining balance on Manetta‘s gift card, and X, the number of songs purchased?

Answers

Answer:

b. 5x + 4y = 80

Step-by-step explanation:

Let us assume the remaining balance left be Y

and, the number of songs purchased be X

Given that

Wins a gift card of $20

And, the songs purchased is 16

Now if we take the fraction

= 20 ÷ 16

= 5 ÷ 4

So if we reverse this fraction

So it could be 5x and 4y

And, the amount that would come is

= $20 × 16 ÷ 4

= 80

So, the equation is 5x + 4y = 80

Hence, the correct option is b.

If i ate 20 candy bars and 40 more what do i have

Answers

Answer:

Diabetes

Step-by-step explanation:

By consuming that much candy your blood sugar levels would skyrocket causing you to get diabetes.

In a class election, 30 students voted for Emerald and
15 students voted for Beau. What percent of students
voted for Beau?
( please help my teacher won’t let me leave if I don’t get this done)

Answers

50% should be correct. Mark if correct!
33% of students voted for Beau.

Help me with this.
x+1=2
- -
6 5​

Answers

Step-by-step explanation:

x/6+1/5=2

30(x/6+1/5)=30(2)

5x+6=60

5x=60-6

5x=54

divide both sides by 5

therefore, x is equal to 10.8

Can yall help me? with this question pleasee

Answers

Answer:

There is no answer

Step-by-step explanation:

Please attach a picture and I will help you!

Answer:

There is no question

1. The ratio of the measures of the sides of a triangle is 5:6:8, and
its perimeter is 159.6 mm. Find the measure of the shortest side of
the triangle

Answers

Answer:

42mm

Step-by-step explanation:

Let the shortest side of the triangle be 5x, the middle side be 6x, and the longest side be 8x.

5x+6x+8x = 159.6

19x = 159.6

x = 159.6 ÷ 19

x = 8.4

Shortest side of triangle (5x) = 8.4 × 5

                                               = 42

Find the equation of the line shown

Answers

[tex]y = \frac{1}{2} x[/tex]

Answer:

y = 1/2x

Step-by-step explanation:

Hope this helps!

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