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. Which of these statements are true? Choose all answers that apply: Choose all answers that apply: (Choice A) A More rainfall relates to more mosquitoes as long as rainfall is less than 2\text{ cm}2 cm2, start text, space, c, m, end text. (Choice B) B More rainfall relates to more mosquitoes as long as rainfall is more than 2\text{ cm}2 cm2, start text, space, c, m, end text. (Choice C) C When there is no rainfall, there are about 111 million mosquitoes. (Choice D) D When there is no rainfall, there are about 222 million mosquitoes.
Answers
Answer:
(Choice A) A More rainfall relates to more mosquitoes, as long as rainfall is less than 2 cm²
Step-by-step explanation:
The given function for the number of mosquitoes, (by analysis of the options) is, g(x) = 4·x - x²
Where;
x = The amount of rainfall
g(x) = The number of mosquitoes in millions
The given function can be expressed as follows;
g(x) = 4·x - x² + 0
The maximum point is given by g'(x) = d(4·x - x²)/dx = 4 - 2·x = 0
At the maximum (turning point), we have;
4 - 2·x = 0
4 = 2·x
x = 4/2 = 2
The level of rainfall that gives the maximum number of mosquitoes is, x = 2 cm²
The number of mosquitoes increases from zero rainfall up to the maximum number of 4 million mosquitoes at 2 cm² rainfall and then decreases to zero as the rainfall increases further more than 2 cm², as shown in the attached graph of the function g(x) that models the number of mosquitoes created with MS Excel
Therefore, the true statement is (Choice A) more rainfall relates to more mosquitoes, as long as (the level of) rainfall is less than (the maximum) 2 cm².
Related Questions
What equation will you use to solve this problem.
Answers
C=Dpie
Answer:
The answer is D! Sorry if I get the answer wrong.
Step-by-step explanation:
Please help!
Three days a week after school, Sarah runs 2.2 miles each day. This week, Robert ran of the total d that Sarah ran. Also this week, Brooke ran 110% of the total distance that Sarah ran. What is the mea distance that each person ran this week?
A. 1.308 miles
B. 3.925 miles
C 5.995 miles
D. 17.985 miles
Answers
Answer:
c
Step-by-step explanation:
cvvvbbnh
help please and thanks
Answers
Answer:
28km
Step-by-step explanation:
Pythogreom therom
Answer: use p h o t o m a t h
Step-by-step explanation:
A rectangle prism has a base with an area of 20 square centimeters and a height of 3 centimeters. What is the volume of the prism?
Answers
Answer:
Step-by-step explanation:
The volume of a rectangular prism is shown below:
We are given the an area of
173.6
cm
and a height of
9
cm
.
We also know that the formula for area is
l
w
, meaning we can substitute the area for
l
w
in the volume formula.
Now let's plug in what we know into the formula and solve for the volume:
V
=
(
173.6 cm
2
)
(
9 cm
)
=1562.4 cm
3
The volume of the rectangular prism is
1562.4 cm
3
.
Please answer this for me correctly. THANK YOU!!
Answers
Answer:
The answer is <MQL.
Using the box plot of quiz scores below, what percent age of students scored above 85?
Answers
Answer:
that would be B.
Step-by-step explanation:
its at the end and it is only 25% of it there is no way it could be 75% or 50% so the best choice would be 25% B
A man is five times as old as his son. Four years ago the man was thirteen times as old as his son.
Find their present ages.
Answers
Answer:
Age of son = 6 years
Age of man = 5×6 = 30 years
Step-by-step explanation:
GIVEN :-
A man is 5 times as old as his son. (In Present)4 years ago , the man was 13 times as old as his sonTO FIND :-
The present ages of the man & his son.SOLUTION :-
Let the present age of son be 'x'.
⇒ Present age of man = 5x
4 years ago ,
Age of son = (Present age of son) - 4 = x - 4
Age of man = (Present age of man) - 4 = 5x - 4
The man was thirteen times as old as his son. So,
[tex]=> 5x - 4 = 13(x - 4)[/tex]
Now , solve the equation.
Open the brackets in R.H.S.[tex]=> 5x - 4 = 13x - 52[/tex]
Take 5x to R.H.S. and -52 to L.H.S. Also , take care of their signs because they are getting displaced from L.H.S. to R.H.S. or vice-versa.[tex]=> 13x - 5x = 52 - 4[/tex]
[tex]=> 8x = 48[/tex]
Divide both the sides by 8[tex]=> \frac{8x}{8} = \frac{48}{8}[/tex]
[tex]=> x = 6[/tex]
CONCLUSION :-
Age of son = 6 years
Age of man = 5×6 = 30 years
Which of the following equations is represented by the figure?
Answers
Kayla has a bowl of beads that contains 42 yellow beads, 28 green beads, 12 white beads, and 18 red beads. She randomly draws a bead from the bowl.
The probability of Kayla not drawing a yellow or a green bead is ______%. The probability of Kayla drawing a red or a green bead is _______%.
Answers
[tex]\huge\pink{Answer}[/tex]
7/10 and 23/50
Answer:
1. 30%
2.46%
Step-by-step explanation:
The probability of Kayla not drawing a yellow or a green bead is 30 %. The probability of Kayla drawing a red or a green bead is 46 %.
Correct for plato! :)
PLZZZZZZZZZZZZ
She had a coupon for 15% off. The tax rate was 7.75%. If the subtotal was $35, how much money did Ms. Morel actually pay in total (after the discount and tax)? *
Answers
Answer:32.05
Step-by-step explanation:
SO after tax the total would be $37.71.With original price $37.71 and 15% discount,
Price after discount: $32.05
You saved: $5.66
Which operation would be last when solving the inequality -5x + 9 < -6
Answers
Answer: divding both sides by -5
Step-by-step explanation:
Subtract 9 from both sides.
−5x+9−9<−6−9
−5x<−15
Step 2: Divide both sides by -5.
−5x/−5<−15/−5
x>3
At the aquarium, posters of sharks cost $2 and posters of jellyfish cost $6. Mr. Benson spent $64 to buy 12 posters. How many of each type of poster did Mr. Benson buy?
Answers
Answer:
8
Step-by-step explanation:
Step 1: Add the cost of the posters together
Shark: 1 = $2
Jellyfish: 1 = $6
2 + 6 = 8
Step 2: Divide the result by the total amount Mr. Benson spent
64 ÷ 8
[tex]= \frac{64}{8}[/tex]
[tex]= 8[/tex]
Therefore, Mr. Benson bought 8 of each type of poster.
I need to know they answers below please hurry
Answers
Answer:
A) 2
B) 0
C) 1
Step-by-step explanation:
Earth's radius is approximately 3960 miles. What is the approximate surface area of
Earth in terms of ?
Answers
Answer:
196.9 million mi^2
Step-by-step explanation:
The box-and-whisker plot summarizes student scores on a physical fitness test. Students receive an award for scores at or above the upper quartile. What is the lowest score a student can get to receive an award?
Answers
Answer:
74
Step-by-step explanation:
To receive an award, student must obtain a score at or above the upper quartile, from.tye boxplot, the upper quartile is depicted by the endpoint of the box. Hence, the upper quartile of the distribution is 74. Hence only stude Ts who score 74 and above will receive an award Hence, the minimum score required is 74.
A rectangle has a length of 2 m and a width of 40 cm what is the perimeter of the rectangle ( show your work)
Answers
Answer:
0.05 im pretty sure to my calcutor
Step-by-step explanation:
What is the fractional form of 0.02?
А. 2/99
B. 1/11
C. 2/100
D.1/12
Answers
1121314 5 -
The top, front, and side views of a rectangular prism are shown.
top view
front view
(1) side view
How many unit cubes are used to build the solid?
unit cubes are used to build the solid.
Answers
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, as the views are not shown.
So, I will answer this question with the attached views of a rectangular prism.
Required
The number of cubes used
For the attached views of the rectangular prism, we will make use of the following representations
Top view [tex]\to[/tex] Width
Front view [tex]\to[/tex] Height
Side view [tex]\to[/tex] Length
So, we have:
[tex]Width = 2 units[/tex]
[tex]Height = 6 units[/tex]
[tex]Length = 1\ unit[/tex]
The number of cubes is calculated by solving for the volume of the prism.
For a rectangular prism, the volume is:
[tex]Volume = Length * Width * Height[/tex]
[tex]Volume = 2 * 6 * 1[/tex]
[tex]Volume = 12[/tex]
This implies that 12 cubes were used to build the solid.
in a bag, there are 5 red marbles, 2 blue marbles and 3 purple marbles. what is the probability of drawing a purple marble
Answers
Answer:
The probability of drawing a purple marble is 3/10
Equations on both sides
3x + 5 = 2x -17
Solve it and show the work because i need to show the work
Answers
Answer:
x = -22
Step-by-step explanation:
Subtract 5 from both sides
3x + 5 (-5) = 2x - 17 (-5)
3x = 2x - 17
Subtract 2x from both sides
3x (-2x) = 2x (-2) -22
x = -22
Can anyone help me with this problem
Answers
Answer:3^2
Step-by-step explanation:
I think it is 3 with exponent of 3 because if its asking for side length of 9 then 3 x 3=9
Two employees of Frontier Fence Company can install 100 feet of fence in two days. Help a. What is the unit rate for one employee? b. Write a proportion to show the relationship between this rate and 150 feet of fence. c. At this same rate, how many employees are needed to install 150 feet of fence in one day? -2020 CPM Educational Program. All rights reserved.
Answers
Answer:25/day
Step-by-step explanation:
Answer quickly!!!!!!!!
Answers
Answer:
c: 8 i'm sure
Step-by-step explanation:
Because we count where the line stops is 8 squares which means it's 8
Explanation:
x^2 = 6^2 + 5^2
x^2 = 36 + 25
x^2 = 61
x = sqrt(61)
3. A class rolled number cubes. Their results are shown in the table. What is the experimental probability of rolling the number 1? Round your answer to the nearest tenth.
17.2%
16.4%
15.7%
17.5%
Answers
Answer:
15.7%
Step-by-step explanation:
Experimental probability is the probability of something that is determined by doing an experiment.
To find the probability, divide the number of rolling a one and add all the occurrences of every other result.
So,
42 / (42 + 44 + 45 + 44 + 47 + 46) =
42 / 268 =
0.156716 =
15.6716
Rounded to the nearest tenth, the probability of rolling a one would be 15.7%.
please I've been looking for an answer to this question
Answers
Answer:
x = 9cm
using sine rule
a/sine(A) = b/sine(B)
a= x; A= 64° ( alternating angles)
b= 10 cm ; B = 90°
x/sine(64) = 10/sine(90)
x= {10 × sin(64)}/ sin 90
x = 9cm
Answer:
650
Step-by-step explanation:
Need help !
Is it linear , quadratic, exponential
Answers
Answer:
Exponential
Step-by-step explanation:
So lets look at the table.
When x = 1, y = 3
When x = 2, y = 9.
Hmmm, this doenst seem like x+number=y. It doesnt seem like a quadratic, where the values go up, then down, then up again. Or vise versa.
So this rules out linear and quadratic, for the x doesnt change by a constant, or change the direction of y.
This leaves exponential or none of the above.
When x = 3, y = 27
When x = 4, y = 81
This seems like a exponent, since:
3 to the first power is 3
3 to the second power is 9
3 to the third power is 27
and 3 to the fourth power is 81
Answer:
exponential function
Hope this helps! ;)
what is the answer to y= 4x + 11
Answers
Answer:
x=-11/4
Step-by-step explanation:
4x+11 x=4 hope this helps
Barbara says that the expression
6 - 3y + 4 + 2y is equivalent to the expression
5y + 10. Is Barbara correct?
Answers
Answer:
No she is wrong.
Step-by-step explanation:
Let's simplify step-by-step.
6−3y+4+2y
=6+−3y+4+2y
Combine Like Terms:
=6+−3y+4+2y
=(−3y+2y)+(6+4)
=−y+10
Answer:
=−y+10
Kim has a rope that is meter long, she wants to cut it into 5 places, Each piece must be the same size.
How long will each piece of rope be?
Answers
Answer:
1/5 meter per piece
Step-by-step explanation:
Divide this 1-meter-long rope by 5:
1 meter
--------------- = 1/5 meter per piece, or 200 mm
5 pieces
A certain television is advertised as a 54-inch TV (the diagonal length). If the width of the TV is 40 inches, how tall is the TV? Round to the nearest tenth of an inch.
Answers
Answer:
36.3
Step-by-step explanation:
I tried using the Pythagorean Theorem to measure the length (tallness) of the TV.
[tex]a^2 + b^2 = c^2[/tex]
[tex]a^2 + (40)^2 = (54)^2[/tex]
[tex]a^2 + 1600 = 2916[/tex]
[tex]a^2 = 2916-1600 = 1316[/tex]
[tex]a = \sqrt{1316}[/tex]
[tex]a = 36.27671429[/tex]
When this is rounded up to the nearest tenth, it would go up to 36.3.
So, the length (tallness) of the TV would be 36.3 inches.