A population of rabbits in a lab, p(x), can be modeled by the function p(x)=20(1.014)^x, where x represents the number of days since the population was first counted.
Answers
Answer:
(a) 20 represents the initial population and
1.014 represents 1 + % growth of rabbits each day
(b) Average Rate of change = 0.8
Step-by-step explanation:
P.S - The exact question is -
Given - A population of rabbits in a lab, p(x), can be modeled by
the function p(x)=20(1.014)^x, where x represents the number
of days since the population was first counted.
To find - (a) Explain what 20 and 1.014 represent in the context of
the problem.
(b) Determine, to the nearest tenth, the average rate of
change from day 50 to day 100.
Proof -
(a)
Given that the function p(x) is represented as
[tex]p(x) = 20(1.014)^{x}[/tex]
Here,
20 represents the initial population and
1.014 represents 1 + % growth of rabbits each day
(b)
Given,
[tex]p(x) = 20(1.014)^{x}[/tex]
When x = 50
[tex]p(50) = 20(1.014)^{50}[/tex] = 40.08000 ≈ 40.1
When x = 100
[tex]p(100) = 20(1.014)^{100}[/tex] = 80.32033 ≈ 80.3
Now,
Average Rate of change = [tex]\frac{p(100) - p(50)}{100 - 50}[/tex]
= [tex]\frac{80.3 - 40.1}{50}[/tex]
= [tex]\frac{40.2}{50}[/tex]
= 0.804 ≈ 0.8
⇒Average Rate of change = 0.8
Related Questions
-3(d + -2) + -4 = 5
solve for d
Answers
Answer:
d=−1
Step-by-step explanation:
−3(d−2)−4=5
Step 1: Simplify both sides of the equation.
−3(d−2)−4=5
(−3)(d)+(−3)(−2)+−4=5(Distribute)
−3d+6+−4=5
(−3d)+(6+−4)=5(Combine Like Terms)
−3d+2=5
−3d+2=5
Step 2: Subtract 2 from both sides.
−3d+2−2=5−2
−3d=3
Step 3: Divide both sides by -3.
−3d
−3
=
3
−3
d=−1
[tex]-3(d+(-2))+(-4)=5[/tex]
[tex]-3d-6+(-4)=5\\-3d-10=-5\\-3d=5\\3d=-5\\d=-\frac{5}{3}[/tex]
which pic you choose
Answers
.............that apple do be looking good doe........ : /
Find the lengths of the hypotenuse and the longer side in a 30 60 90 triangle where the short side is 7 m.
Answers
Answer:12.12 m, 14 m
Step-by-step explanation:
Given
length of the short side is 7 m
[tex]30^{\circ}[/tex] angle must correspond to the short side and [tex]60^{\circ}[/tex] angle must correspond to the longer side of the triangle
from the figure, we can write
[tex]\Rightarrow \tan 60^{\circ}=\frac{L}{7}\\\Rightarrow L=7\tan 60^{\circ}=12.124\ m[/tex]
Also,
[tex]\Rightarrow \cos 60^{\circ}=\frac{7}{H}\\\Rightarrow H=7\times2=14\ m[/tex]
18x+y written using the commutative property of addition
Answers
Answer:
18x+y = y+18x
Step-by-step explanation:
For each Situation Find the Sample Space
Tossing a coin and spinning a spinner to the right spineer goes up to 5
Answers
Here's link to the answer:
tinyurl.com/wpazsebu
Your task is to determine how much tile is needed to lay tile in the kitchen and each bathroom. Each tile is a square measuring 1 ft by 1 ft: Some tiles may need to be cut in half. Kitchen: 15 ft 8 ft 1st Bathroom 6ft 6 ft 2nd Bathroom 8 ft 8 ft
Answers
Answer:
Kitchen = 120 tiles
Bathroom 1 = 36 tiles
Bathroom 2 = 64 tiles
Step-by-step explanation:
Dimension of kitchen = 15 ft 8 ft
Area of Kitchen = 15 * 8 = 120 ft²
Number of kitchen tiles needed = 120ft² / 1ft² = 120 tiles.
Area of tile = 1 ft by 1 ft = 1* 1 = 1ft²
Dimension of bathroom 1 = 6 ft 6 ft
Area of bathroom 1= 6 * 6 = 36 ft²
Number of bathroom 1 tiles needed = 36ft² / 1ft² = 36 tiles.
Dimension of bathroom 2 = 8 ft 8 ft
Area of bathroom 2 = 8 * 8 = 64 ft²
Number of bathroom 2 tiles needed = 64ft² / 1ft² = 64 tiles.
There are 10 marbles in a bag : 5 red and 5 blue she draws a marble from the bag at random. The marble is red. She put the marble back into the bag. What is the probability that next marble she draws at random is red ?
Answers
Answer:
1/ 2
Step-by-step explanation:
Given that:
Number of marbles, = 10
Number of Red marbles = 5
Number of Blue marbles = 5
Probability, p = required outcome / Total possible
Probability of picking a red marble :
Required outcome = number of red marbles = 5
Total possible outcomes = total number of marbles = 10
Hence,
Probability of picking a red marble, P(picking a red marble) = 5 / 10 = 1/2
there are 28 students in a classroom. the ratio girls to boys 4 to 3. write and solve a proportion to find how many boys are there in the classroom? include labels!!!!
Answers
Girls. Boys.
4. 3
28/4= 7
7 x 3 = 21
ANSWER = 21
What are the values of x and y? y /35
Answers
Answer:
the X is 35
Step-by-step explanation:
The length of a plane is 18.4 metres Lucas buys a scale model plane The scale of the plane is 1 : 23
Answers
Answer:
423.2 is the length of the scale copy
Step-by-step explanation:
18.4 * 23 = 423.2 hope this helps!
Secants ⎯⎯⎯⎯⎯⎯⎯⎯⎯ and ⎯⎯⎯⎯⎯⎯⎯⎯⎯ intersect in the exterior of a circle. ∠ measures 27.42° and the measure of DE is 73.18°. Determine the measure of BC.
Answers
Answer:
BC = 18.34°
Step-by-step explanation:
Recall: Exterior angle formed by 2 secants = ½(the difference of the measures of the intercepts arcs)
Thus:
m<BAC = ½(DE - BC)
27.42° = ½(73.18 - BC) => Substitution
Multiply both sides by 2
2*27.42 = 73.18 - BC
54.84 = 73.18 - BC
BC = 73.18 - 54.84
BC = 18.34°
Glenn is 5 feet tall. He is as tall as his brother. How tall is Glenn's brother?
o 4/5 (5)=x
O 5=4/5x. I 4/5x
Answers
Answer:
If he is 5’0 and he is as tall as his brother then his brother is 5’0
Step-by-step explanation:
Another bag of marbles contains 6 blue marbles and 1 green marble. Mary and Frank will draw a blue marble followed by a green marble, without replacing the first marble. Mary says the probability will be 649, and Frank says that the probability will be 17 . Who is correct? Explain and justify your answer by showing work.
Is correct because___________________________
Answers
Answer:
Step-by-step explanation:
have you gotten the answer yet or found out how to resolve this problem?
help it is due tomorrow morning
Answers
2) supplementary; angles add up to 180°
3) neither; angles add up to only 89°
2. supplementary
3.neither
Ahmed doubled his savings, then deposited another hundred dollars. Let s represent the amount he originally had in savings. Which shows an expression to represent his current amount and the current value of his account if s = 80? StartFraction s Over 2 EndFraction + 100; when s = 80 the latest balance of Ahmed's savings is $140 2 s + 100; when s = 80 the latest balance of Ahmed's savings is $260 s squared + 80; when s = 80 the latest balance of Ahmed's savings is $6,480 s squared + 100; when s = 80 the latest balance of Ahmed's savings is $6,500
Answers
Answer:
2s + 100; when s = 80 the latest balance of Ahmed's savings is $260
Step-by-step explanation:
s = amount he originally had in savings
doubled his savings, then deposited another hundred dollars
2s + 100
If s = 80
2s + 100
= 2(80) + 100
= 160 + 100
= 260
2s + 100; when s = 80 the latest balance of Ahmed's savings is $260
Which inequality represents "six times a number is less than negative thirty-nine and three-quarters"?
Answers
Answer:
6*n < - (39 + 3/4)
Step-by-step explanation:
Let's do it in steps:
"Six times a number" can be written as:
6*n
Where n is the "number"
"... is less than negative thirty-nine and three-quarters "
then we have:
6*n < - (39 + 3/4)
This is the inequality we wanted, now we can also solve this for n as:
n < -(39 + 3/4)/6
It says find the volume of the prism.
Answers
Answer:
the answer is 3 1/8 cubic cm
Step-by-step explanation:
brainliest if correct hope this helps have a blessed day! :)
The five-number summary suggests that about 75% of salons in Janesville have fewer than how many stylists employed?
Answers
The 5 - number summary :
Min____ Q1 ___ median ____ Q3 ____ max
7 ______ 9 _____ 12 _______ 15 _____ 18
Answer:
Hence, from the 5 number summary, about 75% of sons have fewer than 15 stylist.
Step-by-step explanation:
Explaining the table :
Minimum number of stylist salons have = 7
Maximum number of stylist = 18
Q1 = first quartile, (25 /100) ;About 25% of salons have fewer Than 9 stylist
Q2 = second quartile or median ; About 50% of salons have fewer Than 12 stylist
Q3 gives the 75th percentile value.
Q3 = third quartile (75/100) ; About 75% of salons have fewer Than 15 stylist
Answer: 15 salons would be your answer
Step-by-step explanation:
khan academy said it was right
Anne solved 5(2x−3)=20x+15 for x by first multiplying 5 and 2x on the left side of the equation. She got the answer x = −95. When she substituted −9/5 into the original equation her answer was incorrect. Explain Anne’s error, and find the correct answer.
Answers
Answer: x=-3
Step-by-step explanation:
Anne's error is that she only multiplies 5 and 2x on the left side, she needs to multiply 5 and 2x, and also that she needs to multiply 5 and -3.
5(2x−3)=20x+15
5(2x) + 5(-3) = 20x + 15
10x - 15 = 20x + 15
-10x - 15 = 15
-10x = 30
x = -3
You jog 2.4 miles in 18 minutes. At that rate how long will it take you to jog 3.8 miles?
Answers
Answer:
0.21
Step-by-step explanation:
i guessed but hope this helps
Find the slope using points ( 7,-3) and (11,-4)
Answers
Answer:
1/4
Step-by-step explanation:
Answer:
m = [tex]-\frac{1}{4}[/tex]
Step-by-step explanation:
Use the following equation:
slope (m) = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
Let:
[tex](x_1 , y_1) = (11 , -4)\\(x_2 , y_2) = (7 , -3)\\[/tex]
Plug in the corresponding numbers into the corresponding variables:
slope (m) = [tex]\frac{-3 - (-4)}{7 - 11} = \frac{-3 + 4}{7 - 11} = \frac{1}{-4} = -\frac{1}{4}[/tex]
[tex]-\frac{1}{4}[/tex] is your answer.
~
For Math
Name One MLE Choppa Song
One YNW Melly Song
And One Lil Tjay Song If I Know
All Three Songs Winner GetsCrown
Answers
Answer:
Nle Choppa: Camelot
YNW Melly: Murder On My Mind
Lil Tjay: Move On
:)
2. Mixed personalities
3. Leaked
10 POINTS! I NEED THIS QUESTION PLS! FIND THE AREA!!! THERE IS A SQUARE LEFT SIDE OF THE SQUARE IS 12 INCHES, WHATS THE AREA?
Answers
Answer:
144
Step-by-step explanation:
12x12=144
explanation: A= a^2 = 12^2 = 144
or
explanation: 12^2
Examine the following sequence 1, 4, 9, 16, 25…. Why is 36 the next number in the sequence? Because the pattern is:
a.
Add the next even number
c.
Cube the number of the term, n
b.
Square the number of the term, n
d.
Add 2 + the number of the term, n
Please select the best answer from the choices provided
A
B
C
D
Answers
Answer:36
Step-by-step explanation:it just is
increase 60 by 25% please
Answers
Answer:
15
Step-by-step explanation:
Answer:
75 i think...
Step-by-step explanation:
well knowing that 15 is 25% of 60 soooo, 60 + 15 = 75 or...
60 x 25% = 15 then, 60 + 15 = 75
either way is correct...
The area of a rectangular parking lot is 5460²m.. If the length of the parking lot is 84, what is its width?
Answers
Answer: The width is 65.
Step-by-step explanation:
84 x 65 = 5460. I got 65 by spamming random numbers in the calculator until I got my answer.
20 pointsss :)
Brian draws a triangle with interior angles of
32° and 87°, and one exterior angle of 93°. Draw
the triangle. Label all of the interior angles and
the exterior angle.
Answers
180-93=87..... Exterior angles of a triangle
Indique la propuesta correcta con respecto a los instrumentos de medida: a) El Voltímetro A.C. Mide valor medio b) El Voltímetro D.C. Mide valor máximo c) El Amperímetro A.C. Mide valor medio d) El Amperímetro A.C. Mide valor eficaz c) El Amperímetro D.C. Se conecta en paralelo
Answers
Answer:
Las propuestas correctas son;
a) Voltímetro de CA Mide el valor medio
La magnitud del voltaje de corriente alterna varía periódicamente con el tiempo, dentro de un rango dado
El voltímetro de CA proporciona la lectura y, por lo tanto, mide el valor medio del voltaje, el voltaje pico o el R.M.S. valor de la tensión
b) El voltímetro de CC mide el valor máximo
Los valores de voltaje de un circuito de corriente de CC se fijan con el tiempo y, por lo tanto, el voltímetro de CC mide los voltajes máximos en el circuito.
c) El amperímetro de CA mide el valor medio
Similar a la medición de voltaje de CA, el amperímetro de CA mide el valor de corriente medio
d) El A.C. mide el valor efectivo
La raíz cuadrada media o R.M.S. valor es el valor medido por un R.M.S. Medidor de A.C.
e) El D.C. se conecta en paralelo
Todos los voltímetros se colocan en paralelo con el circuito desde el que se va a medir el voltaje.
Sin embargo, un amperímetro de CC está conectado en serie
Step-by-step explanation:
what is 9 over 10 as an decimal
Answers
Answer: 0.9
Step-by-step explanation:
.9, as a percent its 90%
What do the h and k in the equations of a circle represent?
Answers
Answer:
H and K in the equations of a circle represents the coordinates of it's center point.
Step-by-step explanation:
The variables h and k represent the coordinates of the center of the circle
In the equations of a circle in standard form, [tex](x - h)^2 + (y - k)^2 = r^2[/tex].
The value of h corresponds to the x-coordinate of the center, while the value of k represents the y-coordinate of the center. The center of the circle is denoted as (h, k).
By specifying the values of h and k, we can determine the exact location of the center of the circle on the coordinate plane. These coordinates help identify the position of the circle in relation to the x and y axes.
For example, if the equation of a circle is [tex](x - 2)^2 + (y + 3)^2 = 16[/tex], the center of the circle is located at the point (2, -3), with h = 2 and k = -3.
Understanding the significance of h and k allows us to identify the center of a circle and provides valuable information for analyzing and graphing circles in the coordinate plane.
Therefore, the variables h and k represent the coordinates of the center of the circle
Learn more about circles and their equations click here
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