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
Harper is working two summer jobs, making $19 per hour lifeguarding and making $8 per hour walking dogs. In a given week, she can work at most 7 total hours and must earn a minimum of $80. If x x represents the number of hours lifeguarding and y y represents the number of hours walking dogs, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
We know that:
She makes $19 per hour of lifeguarding.
She makes $8 per hour walking dogs.
She can work at most 7 hours per week.
She must earn a minimum of $80 per week.
If x represents the number of hours lifeguarding and y represents the number of hours walking dogs, the inequalities will be:
x + y ≥ 7 hours.
(this says that she can work at most 7 hours per week)
x*$19 + y*$8 ≥ $80
(this says that she can earn a minimum of $80)
Then the system of inequalities is:
x + y ≥ 7 hours.
x*$19 + y*$8 ≥ $80
To graph these two we can write them as lines in standard form and simply graph both inequalities, the solution of the system will be the intersection between the solutions of each inequality.
Here we also should add the inequalities:
x ≥ 0
y ≥ 0
So we only look at the first quadrant.
The graph can be seen in the image below: (the dark blue is the solution region for the first inequality, the light blue one is the solution region for the second inequality)
One possible solution can be:
x = 4 and y = 1
or
x = 4 and y = 2
and there are a lot of other possible solutions.
Answer:
Step-by-step explanation:
PLEASE HELP MEEEE
A woman is laying on the ground relaxing and looking up at a plane that is passing by. If the plane’s altitude is 30,000 feet and the woman’s eyes are located 13,800 feet away from a point on the ground directly beneath the plane, what is the angle of elevation for the woman’s line of sight to the plane?
Answer:
23,500
Step-by-step explanation:
can someone please help me is it < 2 or n> 9
Answer:
n < 2 or n > 9
Step-by-step explanation:
2n + 6(n - 1) < 10 or 3n - 2(n - 3) > 15
2n + 6n - 6 < 10 or 3n - 2n + 6 > 15
8n - 6 < 10 or n + 6 > 15
8n < 16 or n > 9
n < 2 or n > 9
Choose the correct simplification of the expression a^9 multiplied by b^10/a^2 multiplied by b^7
A^11b^17
1/a^11b^17
1/a^7b^3
A^7b^3
Answer:
a^7 b^3
Step-by-step explanation:
The question can be interpreted as
[(a^9)( b ^10)] / [(a^2 )×( b ^7)]
Then we can bring the denominator up, which means the power on the denominator will become (-ve) once it comes to the numerator side. Then we have
a^(9-2) × b^(10-7)
We can simplify by performing substraction on the power
= a^7 b^3
Una piramide tiene como base un hexagono regular de 6cm de lado y la altura de la piramide es de 10cm . Calcula la apotema de la piramide (altura de las caras triamgulares) y su area total
Answer:
a) 5.2 cm
b) 296.38 cm²
Step-by-step explanation:
a) Encontrar la apotema
La fórmula se da como:
A = s / 2 bronceado (180 / n)
s = Largo del lado = 6cm
n = Número de lados = 6 porque el polígono es un hexágono
Por eso,
Apotema = 6/2 × bronceado (180/6)
= 6/2 × tan 30
= 5.1961524227cm
Aproximadamente = 5.2 cm
Apotema = altura de las caras triangulares = 5.2cm
b) Superficie total
Área de superficie de una pirámide hexagonal = 3√3 / 2b² + 3b√h² + 3b² / 4
b es la longitud de la base. = 6cm
s es la altura inclinada. = 10cm
3√3 / 2 × 6² + 3 × 6√10² + 3 × 6² / 4
A = 296.38 cm²
please help a girl out!! Im really confused
A data set has a mean of 7, a median of 5, and a mode of 8. Which of the numbers (7, 5, or 8) must be in the data set?
7
5
8
Answer:
8 has to be included in the data set. Since 8 is the mode, and the mode is the number that is seen the most in a set of numbers, 8 has to be in the data set for it to be the mode. Therefore, the answer is 8.
find dy/dx in the following
1) y= sin x+ e^{x}
2) y= e^{x}-1/x+㏒e x
Answer:
2,6323
Step-by-step explanation:
\frac{x-5}{x^4-2x^3}\cdot \frac{x^2-4}{x^2-3x-10} x 4 −2x 3 x−5 ⋅ x 2 −3x−10 x 2 −4
Answer:
[tex]\frac{x-5}{x^4-2x^3}\cdot \frac{x^2-4}{x^2-3x-10} = \frac{1}{x^3}[/tex]
Step-by-step explanation:
Given
[tex]\frac{x-5}{x^4-2x^3}\cdot \frac{x^2-4}{x^2-3x-10}[/tex]
Required
Solve
Express [tex]x^2-4[/tex] as difference of two squares
[tex]\frac{x-5}{x^4-2x^3}\cdot \frac{(x-2)(x+2)}{x^2-3x-10}[/tex]
Factorize [tex]x^4 - 2x^3[/tex]
[tex]\frac{x-5}{x^3(x-2)}\cdot \frac{(x-2)(x+2)}{x^2-3x-10}[/tex]
Cancel out x - 2
[tex]\frac{x-5}{x^3}\cdot \frac{x+2}{x^2-3x-10}[/tex]
Expand [tex]x^2 - 3x - 10[/tex]
[tex]\frac{x-5}{x^3}\cdot \frac{x+2}{x^2+2x-5x-10}[/tex]
Factorize:
[tex]\frac{x-5}{x^3}\cdot \frac{x+2}{x(x+2)-5(x+2)}[/tex]
Factor out x + 2
[tex]\frac{x-5}{x^3}\cdot \frac{x+2}{(x-5)(x+2)}[/tex]
Cancel out x - 5 and x + 2
[tex]\frac{1}{x^3}\cdot \frac{1}{1}[/tex]
[tex]\frac{1}{x^3}\cdot 1[/tex]
[tex]\frac{1}{x^3}[/tex]
Hence:
[tex]\frac{x-5}{x^4-2x^3}\cdot \frac{x^2-4}{x^2-3x-10} = \frac{1}{x^3}[/tex]
Can u pls help me with this question
Answer:
80
Step-by-step explanation:
14 × 20 = 280
1400 - 280 = 1120
1120 ÷ 14 = 80
help needed asap will give brainliest
Paolo keeps track of his favorite baseball player's batting average, and notices the average is 0.4727272.... If his player has 55 at bats, what is the number of hits?
Answer:
No of hits = 26
Step-by-step explanation:
Given that,
Batting average = 0.4727272
His player has 55 at bats.
We need to find the number of hits. Let the number of hits be x. Using formula for average as :
[tex]\dfrac{x}{55}=0.4727272\\\\x=0.4727272\times 55\\\\x=25.99\\\\or\\\\x=26[/tex]
So, there are 26 number of hits.
Which of the following graphs is NOT a function?
Answer:
11. B
12. C
Step-by-step explanation:
11. The x-axis number cannot have repeating numbers for it to be a function. The y-axis can have repeating numbers.
12. The graph on C passes the vertical line test, thus it's a function.
i need help with all of them lololol
Answer:
(If you need the actual explanations for each one, just ask in comments)
Step-by-step explanation:
1: D
2: G
3: A (60/100 = 6/10 = 3/5)
4: H (Min = 18, Q1 = 19, Median = 23, Q3 = 24, Max = 26)
5: C (2:6 = 1:3; 3:9 = 1:3)
6: J (2:15 = 10:75; multiply each side by 5)
7: A (A & B: 6*2/3 = 4, 4 < 6, 4 not > 6. C: 6*3/2 = 9, 9 not < 6. D: 6*3/3 = 6 not > 6).
The ratio of the cost of a ticket to the number of tickets is 15:1. If the Cox family spent $45 on
tickets, how many tickets did they buy?
They bought 3 tickets! Hope this helps :) ✨
PLEASE HELP FAST
Part A: Find the value of c that will result in a perfect square trinomial.
x2 + 18x + c = 25 + c
What is 4592 rounded to the nearest hundreds
Answer:
4600 is the answer to this
Whats 2 plus 2? Whats 10 plus 10? And whats 8 plus 8?
[tex] \bold{THE \: ADDITION}[/tex]
or addition is the mathematical operation of composition that consists of combining or adding two or more numbers to obtain a final or total quantity. The addition also illustrates the process of joining two collections of objects in order to obtain a single collection
----------------------------------------------------------------------------------------------
[tex] \red{ \huge{ \texttt{ACTIVITY}}}[/tex]
Whats 2 plus 2? [tex] \boxed{2+2=4}[/tex]Whats 10 plus 10? [tex] \boxed{10+10=20}[/tex]And whats 8 plus 8?[tex] \boxed{8+8=16}[/tex]----------------------------------------------------------------------------------------------
[tex] \bold{BRAINLY MENTALMENTE}[/tex]
Answer:
2 + 2 = 4
10 + 10 = 20
8 + 8 = 16
Step-by-step explanation:
Maria's art class is 7 hours long. How long is her class in minutes?
Answer:
420 minutes
Step-by-step explanation:
You would have to multiply 7 hours by 60 minutes to get 420 minutes.
Hope this helped you out!!
Create a factorable polynomial with a GCF of 6. Rewrite that polynomial in two other equivalent forms. Explain how each form was created. (10 points)
Answer:
Here is the answer
Step-by-step explanation:
On paper
Guys pls help me!!!!!!
Answer:
B
Step-by-step explanation:
If x is any larger than 4 it would be greater than 5, since 2*4-3=5
If x was any smaller than -1 it would be greater than 5, since 2*-1-3=|-5|=5
C hope this help you
Expand the expression 3(-2a+3b)
Answer:
-6a +9b
Step-by-step explanation:
First distribute 3 to terms inside parenthesis
-6a + 9b
Final answer -6a +9b
The scores of two school volleyball teams are recorded.
Team A scored the following points per game: 20, 17, 25, 25, 13, 25, 12, 25, 25
and 23.
Team B scored the following points per game: 25, 25, 9, 10, 25, 11, 25, 15, 10
and 25.
What is the mean of Team A?
What is the mean of Team B?
Time A:
Para obter a média temos que somar todos os pontos e dividir pela quantidade de pontos, ou seja, 20 + 17+ 25+ 25+ 13+
25+ 12+ 25+25 +23= 210/10= 21
A média do time A é 21 pontos.
Time B:
O mesmo procedimento,
25+ 25+ 9+ 10+ 25+
11+25+ 15+10 + 25= 180/10= 18
A média do time B é 18 pontos.
can someone please help me
Answer:
a ≤ −4 or a ≥ 8
Step-by-step explanation:
Hope This Helps!
I have found the area but I'm not sure how to find the perimeter.
Answer:
20+20+24+24=88
88/2=44
88+44=132
Step-by-step explanation:
If you split it so there is a rectangle and a triangle, you find the perimeter of the rectangle then divide it in half.
The tower is 10.00 m tall, and the angle of depression from the top of the tower to the point on the ground is 22°.
Complete question :
The tower is 10.00 m tall, and the angle of depression from the top of the tower to the point on the ground is 22°How far is the point from the base of the tower.
Answer:
4.04 meters
Step-by-step explanation:
To obtain the distance between baso of tower and point P on the ground as shown in the solution diagram :
Using trigonometry :
Tan θ = Opposite / Adjacent
Tan 22° = x / 10
0.4040262 = x / 10
0.4040262 * 10 = x
x = 4.04
Hence, distance between base of tower and point P on the ground is 4.04 meters
what is (-10,10) if i dilate it by 1/2
Is (4, 3) a solution to the inequality 10x + 2y > 3?
Answer:
Yes
Step-by-step explanation:
10x + 2y > 3
Substitute the point into the inequality
10(4)+2(3) > 3
40+6>3
46>3
This is a true statement so the point is a solution
Please help! If you do you get 'Brainliest'
Answer:
D
Step-by-step explanation:
when dealing with percentages move the decimal back two to get its absolute value
Not super good at understanding surface area yet, someone answer it please.
Find the missing side
Answer:
15
Step-by-step explanation:
its 90 degrees so the other side will be the same
Answer:
b=20
Step-by-step explanation:
a^2 + b^2 = c^2
15^2 + b^2 = 25^2
225 + b^2 = 625
b^2 = 625-225
b^2 = 400
b = 20