Please help
A population’s instantaneous growth rate is the rate at which it grows for every instant in time. Function r gives the instantaneous growth rate of a fruit fly population x days after the start of an experiment.
Answers
Given:
The function is
[tex]r(x)=0.05(x^2+1)(x-6)[/tex]
where, function r gives the instantaneous growth rate of a fruit fly population x days after the start of an experiment.
To find:
Number of complex and real zeros.
Time intervals for which the population increased and population deceased.
Solution:
We have,
[tex]r(x)=0.05(x^2+1)(x-6)[/tex]
[tex]r(x)=0.05(x^3+x-6x^2-6)[/tex]
Here, degree of function x is 3. It means, the given function has 3 zeros.
From the given graph it is clear that, the graph of function r(x) intersect x-axis at once.
So, the given function r(x) has only one real root and other two real roots are complex.
Therefore, function r has 2 complex zeros and one real zero.
Before x=6, the graph of r(x) is below the x-axis and after that the graph of r(x) is above the x-axis.
Negative values of r(x) represents the decrease in population and positive value of r(x) represents the increase in population.
Therefore, based on instantaneous growth rate, the population decreased between 0 and 6 hours and the population increased after 6 hours.
Answer:
Function r has two complex zeros and one real zero. Based on the instantaneous growth rate, the population decreased between 0 and 6 hours and the population increased after 6 hours.
Step-by-step explanation: I got it right
Related Questions
Subtract using the number line.
−35−(−25)
Select the location on the number line to plot the difference.
Answers
Answer:
I'm assuming that the answer is -10
Step-by-step explanation:
Because you are being asked to subtract a negative, the two negative signs cancel each other out to make the equation -35+25. So the answer is -10.
Answer:
-1/5 im right hope all of you have a wonderful day
Step-by-step explanation:
Why is the answer A?
Answers
Answer:
B) 2 frozen dinners and 2 dozen jelly doughnuts
Step-by-step explanation:
Calculate the total utility for each option.
A) 46
B) 32 + 21 = 53
C) 16 + 30 = 46
D) 28
Option B has the highest total utility.
. Let x = 20: Evaluate x + x *2 - x/5
Answers
Answer:
Assuming this: * means a multiplication symbol, the answer is 56.
Step-by-step explanation:
1. Replace every single x with 20.
2. 20 + 20 * 2 - 20/5
3. Simplify the equation
4. 20 + 40 - 4 (Order of operations. To remember this use
P(parentheses)
E(exponents)
M(multiplication)
D(division)
A(addition)
S(subtraction)
Top to bottom represents which operations you should do first while simplifiying an equation. Addition and subtraction are in equal places. This is the same with multiplication and division.
5. 20 + 40= 60 - 4= 56
Please help!!! How do I go about solving the cardinality of the Venn Diagram shown below?
Answers
What is the image of point (0,2) after a rotation of 90° counterclockwise about the origin?
Answers
Answer:
(-2,0)
Step-by-step explanation:
remember the rule for 90 degree clockwise is (-y,x) opposite y and x
the negative in there DOES NOT mean it will always be negative it means opposite but in this case yes it's negative because the opposite of positive is negative
Hope this helps dude, I'm also learning this in online school lol. ^-^
The image of point (0,2) after a rotation of 90° counterclockwise about the origin is (-2, 0).
The given coordinate point is (0, 2).
What is rotation rule of 90°?Here are the rotation rules: 90° clockwise rotation: (x, y) becomes (y, -x) 90° counterclockwise rotation: (x, y) becomes (-y, x) 180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y).
The rule of 90° counterclockwise rotation: (x, y) becomes (-y, x), here
(-2, 0)
Therefore, the image of point (0,2) after a rotation of 90° counterclockwise about the origin is (-2, 0).
Learn more about the rotation of 90° counterclockwise here:
https://brainly.com/question/1571997.
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Which is larger: 25% of 38 OR 30% of 41
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I need help with my homework I did it but it is wrong.
Answers
Answer:
π= 3V/(4r³)Step-by-step explanation:
Solve for π
V = 4/3πr³3/4V = πr³3V/(4r³) = ππ= 3V/(4r³)Answer:
π = 3V 4r³Step-by-step explanation:
V = 4 π r³
3
solve for π
3*V = 4π r³
3V = π
4r³
therefore.
π = 3V
4r³
For the sequence 2, 6, 10, 14,. . .
a) Write the recursive rule:
b) Write the explicit rule:
Answers
A rectangle has a length 5 meters more than five times the
width. The area of the rectangle is less than 100 meters
squared. Write an expression that represents all possible
widths (use the variable x) of the rectangle. Write your answer
as an inequality, a
Answers
Given:
A rectangle has a length 5 meters more than five times the width.
The area of the rectangle is less than 100 meters squared.
To find:
The expression or inequality that represents all possible widths of the rectangle.
Solution:
Let x be the width of the rectangle.
Length of the rectangle is 5 meters more than five times the width.
[tex]length=5x+5[/tex]
Area of rectangle is
[tex]Area=length \times width[/tex]
[tex]Area=(5x+5) \times x[/tex]
[tex]Area=5x^2+5x[/tex]
The area of the rectangle is less than 100 meters squared.
[tex]5x^2+5x<100[/tex]
[tex]5x^2+5x-100<0[/tex]
Divide both sides by 5.
[tex]x^2+x-20<0[/tex]
[tex]x^2+5x-4x-20<0[/tex]
[tex]x(x+5)-4(x+5)<0[/tex]
[tex](x+5)(x-4)<0[/tex]
It is true if one factor is negative and other is positive. So,
[tex]x-4<0\Rightarrow x<4[/tex] ...(i)
[tex]x+5>0\Rightarrow x>-5[/tex] ...(ii)
Using (i) and (ii), we get
[tex]-5<x<4[/tex]
Therefore, the required expression or inequality for possible
widths of the rectangle is [tex]-5<x<4[/tex].
5x + y = 7
20x + 2 = y
Answers
Answer:
x=0.2, y=6
Step-by-step explanation:
Since y=20x+2, 5x+y=7 => 5x + (20x +2 ) = 7
25x + 2 = 7
25x = 5
x = 0.2
so y = 20x + 2 = 20* 0.2 +2 = 4 + 2 = 6
so the final solution is [tex]\left \{ {{y=6} \atop {x=0.2}} \right.[/tex]
The values of x and y for the given simultaneous equation are;
x = 0.2 and y = 6
We are given 2 simultaneous equations;
5x + y = 7 ---(eq 1)
20x + 2 = y ----(eq 2)
Put 20x + 2 for y in eq 1;
5x + 20x + 2 = 7
25x + 2 = 7
25x = 7 - 2
25x = 5
x = 5/25
x = 0.2
Put 0.2 for x in eq 2 to get;
20(0.2) + 2 = y
4 + 2 = y
y = 6
In conclusion, the values of x and y are x = 0.2 and y = 6.
Read more at; https://brainly.com/question/24556232
In total, Jessica and Jonathan have created 19.64 cups of lemonade. They sell the lemonade in servings of 1.25 cup.
How many FULL servings will they be able to sell?
Answers
The left over would be 70% of a cup so 15
Answer:
15 full servings before not having enough left over for another full serving.
Step-by-step explanation:
what is the slope of the table shown I NEED THIS QUICK
Answers
Answer:
5
Step-by-step explanation:
Slope is defined as rise over run, so it is (26-11)/(5-2) = 15/3 = 5
Answer:
slope is 5
Step-by-step explanation:
slope formula says m= y2-y1/x2-x1
m=26-11/5-2
m=15/3
m=5
A radio transmission tower is 180 feet tall. How long should a guy wire be if it is to be attached 8 feet from the top and is to make an angle of 22° with the ground? Give your answer to the nearest tenth of a foot.
Answers
Answer:
453.95 feet exactly
Step-by-step explanation:
In a homerun derby competition there was 32 homeruns hit out of 124 hits approximately what percent of his war homeruns
Answers
Answer:
25.81%
Step-by-step explanation:
32/124 were homeruns, to make it into a percentage, multiply it by 100%
32/124 × 100 = 25.81%
Answer:
25%
Step-by-step explanation:
32 divided by 124 =.2580
Solve for z.
I need help please
Answers
Answer:
Z is 52 degrees.
Step-by-step explanation:
52 plus 38 is 90
Answer:
52°
Step-by-step explanation:
You can say this a 'cardesian plane', where adjacent quadrants are at right angle to each other. So,
z + 38 = 90°
z = 90° - 38° = 52°
Please help me. I'm honestly really confused. I need the answers as soon as possible!
Answers
Answer:
which class can you say then I can tell answer
Point A is located at (h, k). Point B is located at (h,;). Mis the midpoint of segment
AB. Determine the coordinates of point M.
w
Answers
Answer: 6
Step-by-step explanation:
1
3
5
× 1
1
3
=
8
5
×
4
3
=
Find the product of the mixed numbers. Choose the correct answer.
StartFraction 4 Over 5 EndFraction
1 and StartFraction 3 Over 15 EndFraction
2 and one-half
2 and StartFraction 2 Over 15 EndFraction
Answers
Answer:
2 2/15
Step-by-step explanation:
Find the lcm of 2,3,7 and tell me how u got ur answer
if its CORRECT with ur reasoning ill give brainlest
Answers
Answer:
42
Step-by-step explanation:
how many solutions does the following equation have ? 12x+18=-3(-4x-6)
Answers
(−∞,∞) infinite solutions
acomoda 2 8 3 y 4 en este orden con las operaciones +-×÷ de forma que el resultado sea 76 y 40
Answers
Answer:
[(2*8) + 3] *4 = 76
[2*(8 - 3)]*4 = 40
Step-by-step explanation:
Los paréntesis ( ), corchetes [ ] y llaves {} son símbolos de agrupación que indican el orden de las cuatro operaciones aritméticas básicas (suma, resta, multiplicación y división). Las reglas del orden de operaciones establece que se debe realizar primero el cálculo dentro de los símbolos de agrupación.
En otras palabras, la jerarquía de operaciones es el orden en el que hay que realizar las distintas operaciones, ya que unas tienen prioridad frente a otras. Y establece primero debes empezar por resolver los paréntesis, luego los corchetes y finalmente las llaves. Es decir, cuando haya símbolos de agrupación dentro de símbolos de agrupación, calcula de adentro hacia afuera. Esto es, empieza simplificando los símbolos de agrupación en el centro.
Para obtener 76, se pueden realizar la siguiente operación combinada:
[(2*8) + 3] *4
Aplicando lo anteriormente mencionado de la jerarquía de operaciones, comienzas por resolver el paréntesis:
[16 + 3]*4
Ahora, resolviendo el corchete:
19*4
Finalmente, resolviendo la multiplicación:
19*4= 76
Entonces [(2*8) + 3] *4 =76
Para obtener 40, se pueden realizar la siguiente operación combinada:
[2*(8 - 3)]*4
Comenzando a resolver el paréntesis:
[2*5]*4
Ahora, resolviendo el corchete:
10*4
Finalmente, resolviendo la multiplicación:
10*4= 40
Entonces [2*(8 - 3)]*4 = 40
Jolie uses childcare facilities at her gym. Her monthly dues are $32, and childcare is $9 per visit this month she does not wish to spend more than $122 for both dues and childcare. If x represents the number of times she can use childcare services
Which of the following inequalities symbolizes this situation?
x
Answers
Answer:
A
Step-by-step explanation:
Let x= number of visits she makes
9(number of visits she makes) + 32 (less than or equal to) <= 122
9x+32<= 122
Which of the following are ordered pairs for the equation y = 1/3x - 1?
(0,3) (0,-1) (6,1)
(3,0) (0,-1) (6,1)
(0,-1) (1,-4) (2,-7)
(0,-1) (-3,0) (-4,3)
Answers
Answer:
answer is the 2nd one
Step-by-step explanation:
y = 1/3(3) - 1 = 1 - 1 = 0 (3,0)
y = 1/3(0) - 1 = 0 - 1 = -1 (0, -1)
y= 1/3(6) - 1 = 2 - 1 = 1 (6, 1)
please help me with this and show work thank you!!
Answers
[tex]21x^{2} -16x^{2} = 5x^{2} \\-18x-9x=-27x\\4-8=-4\\25x^{3} +5x^{2} -27x-4\\A[/tex]
Question in the picture
Answers
Answer:
Average rate of change =250
Step-by-step explanation:
Formula to determine average rate of change of the function,
Average rate of change = [tex]\frac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]
Where [tex]x_1[/tex] and [tex]x_2[/tex] are the points representing number of years after year 2000.
Since [tex]x_1[/tex] = 5 and [tex]x_2=19[/tex],
[tex]f(x_2)=650[/tex]
And [tex]f(x_1)=300[/tex]
Now average rate of change = [tex]\frac{650-300}{19-5}[/tex]
= [tex]\frac{350}{14}[/tex]
= 250
Therefore, average rate of change of the number of influenza cases from 2005 to 2019 is 250.
b)
Which is the largest of the following numbers?
0.1, 0.02, 0.003, 0.0004, 0.00005
PLEASE HELP DUE TONIGHT!!! THANK YOU SO MUCH.
Answers
We need to use the place values to compare different numbers.
By only looking at the place value, we can see that the largest number is: 0.1
Let's see how to get the solution.
We can define place value as the place where a digit is with respect to the decimal point.
The digits that are at the far left are the larger ones, for example in:
11
The left one represents 10, while the right one represents 1:
10 + 1 = 11
The same happens when we look at the right of the decimal point, there the digits at the left will be larger than the ones at the right.
0.10 is larger than 0.01
From this, we can see that for the set:
{0.1, 0.02, 0.003, 0.0004, 0.00005}
The largest number will be the one with the leftmost first digit different than zero, which is the first one: 0.1
If you want to learn more, you can read:
https://brainly.com/question/16601463
help please this is timed
Answers
Answer:
$1.25x+$7=$43.25
Step-by-step explanation:
Answer please! I will give out brainlest!
Answers
Find the value of x in the following ratio 3:15=x:30
b) x :9 =4=36
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How do u do this question?
Answers
A --------¢ D
B --------¢ E
C --------¢ F
Just match like this buddy.
