Answers
The 3rd and 4th choices are appropriate.
_____
This is what is known as a "logistic function." It is used to model population growth when there is a resource limit. It starts out exponential, but then slows as it reaches the "carrying capacity" of the environment. The lower asymptote is zero; the upper one is the carrying capacity of the resource--here 15/1 = 15.
Related Questions
Find two consecutive integers whose product is 24 more than three times the first integer
Answers
x+1= second consecutive integer
Product means multiply, so we'll multiply x by x+1. More than means to add and 3 times is multiplication.
x(x + 1)= 3x + 24
use distributive property to multiply x by everything in parentheses
(x*x) + (x*1)= 3x + 24
x^2 + x= 3x + 24
subtract 3x from both sides
x^2 - 2x= 24
subtract 24 from both sides
x^2 - 2x - 24= 0
factor the expression
(x-6)(x+4)= 0
x-6=0
x=6
x+4=0
x=-4
If x= 6 is the first integer, x+1= 7 is the second integer
If x= -4 is the first integer, x+1= -3 is the second integer
Hope this helps! :)
Part 1.] Find the value of x in [tex]4,000( 1.5^{x})=25,000[/tex]. Show your work.
Part 2.] Use the domain {½ , 1, 2, 4, 8} to plot the points on the graph for the given equation. The grid marks represent one unit, the horizontal red line represents the x-axis, and the vertical red line represents the y-axis. [tex]y= log_{2} x[/tex]
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[tex] \frac{4000(1.5^{x}) }{4000} = \frac{25000}{4000} [/tex]
[tex]1.5^{x} = \frac{25}{4} [/tex]
Now we can use logarithms to bring down the variable:
[tex]ln(1.5^{x} )=ln( \frac{25}{4}) [/tex]
[tex]xln(1.5)=ln( \frac{25}{4}) [/tex]
[tex]x= \frac{ln( \frac{25}{4}) }{ln(1.5)} [/tex]
[tex]x=4.52[/tex]
Part 2. Lets use the domain (x values) to find the range (y values):
[tex]log_{2} (\frac{1}{2})=-1 [/tex]
[tex]log_{2} (1)=0 [/tex]
[tex]log_{2} (2)=1 [/tex]
[tex]log_{2} (4)=2 [/tex]
[tex]log_{2} (8)=3 [/tex]
Finale lets put the points together and draw our graph:
Which graph shows a proportional relationship? help!!
Answers
Anybody have a real answer for the question?
Answers
now, notice, ∡y and ∡x are "linear angles", therefore
x + y = 180
y = 180 - x.
Write a two-column proof
it says Given: the top number is 2x+6 and the bottom number is 96. Prove: x = 45
It's a little blurry sorry. Please help me I have never understood two-column proofs and they don't make sense to me
Thank you
Answers
You just have to solve the equation and justify each step along the way:
2x + 6, 96 Given
96 = 2x + 6 Vertical angles are congruent
90 = 2x Subtraction Property of Equality
45 = x Division Property of Equality
And that's all there is to it! I hope this helps you. (:
1. J. Cole is a successful Hip-Hop recording artist. He has a record contract that pays him $20,000 a month plus an additional $12 for each album that he sells. Last month he earned $24,800. Write an equation to express the money J. Cole earned last month. Let "x" represent the number of albums.
2. How many albums did J. Cole sell last month?
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Payment per album = $12
Total earned last month = $24,800
Part (a): Expression for money earned last month
Let x be number of albums last month. Then,
Total earning = Fixed payment + Variable payment
That is,
24,800 = 20,000 + 12*x
24,800 = 20,000 + 12x
Part (b): Number of albums last month
This involves solving for x in the expression derived in part (a) above.
24,800 = 20,000 + 12x
24,800 - 20,000 = 12
12x = 4,800
x = 4,800/12 = 400 albums
What is the value of n?
Enter your answer in the box.
n =
Answers
18(n+1) = 9(n+7)
18n + 18 = 9n + 63
18n - 9n = 63 - 18
9n = 45
n = 45/9
n = 5
Answer:
n = 5
Step-by-step explanation:
This problem follows the theorem "If two chords intersect each other inside a circle, the products of their segments are equal."
To follow this theorem, you must multiply both segments of the chord with each other.
Do it to both chords.
The two chords are equal to each other. It should look like:
18*(n+1) = 9*(n+7)
[distributive property]
18n + 18 = 9n + 63
9n = 45
n = 5
NEED HELP ASAP
What are the restrictions of:
(n^2 -6) / (n^2 -2)
5 and 2
+/- SQRT5 and +/- SQRT2
5 and -2
Answers
We have then that in this case the values are:
(n ^ 2 -2) = 0
Clearing n we have:
(n ^ 2) = 2
n = + / - sqrt (2)
Answer:
the restrictions are:
n = + / - sqrt (2)
Nina has $5 bills and $10 bills in her wallet. she has a total of 7 bills with a value of $55. how many of each type of bill does she have? show all work to justify your answer.
Answers
Serena paid $194.99 for a game system and then bought two equally-priced games. If she spent a total of $284.97, what is the price, p, of one game? Enter your answer in the box.
Answers
$89.98 / 2 = $44.99
Serena bought two equally priced game at a price of $44.99 each and the total money spent in buying all three games is $284.97.
Given information:
The price Serena paid for buying the first game is $194.99
The overall price Serena paid for buying three games is $284.97
Let, the price of one of the two equally priced game is [tex]\bold{P}[/tex]
As, the price of second and third game is equal, we can consider the combined price of second and third game.
Thus , the equation formed according to the information given in the question is:
[tex]\bold{194.99+2P=284.97}[/tex]
Solve, the above equation in order to find the price of one game.
[tex]2P=284.97-194.99\\\2P=89.98}\\{P=44.99}[/tex]
Hence, the price of one game in two equally priced game is $44.99
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Answers
a (x) = 3x + 1
b (x) = root (x-4)
Making the composition
b (a (x)) = root ((3x + 1) -4)
Rewriting:
b (a (x)) = root (3x-3)
b (a (x)) = root (3 (x-1))
Answer:
The domain of the function is:
x> = 1
Equivalently:
[1, inf)
John bought 6 dumplings for $3.00.
Let x represent the number of dumplings purchased, and let y represent the total cost.
Graph the line that represents the proportional relationship.
Answers
In this activity, you'll calculate a probability and use it to predict the result of repeating a simple chance-based trial many times.
You are in charge of the casino night game area at a fundraising event. In one of the games, called Odd Odds, the player rolls two six-sided dice. The player gets points if the product of the two numbers rolled is odd. So, success in the game depends on the chances of getting an odd number for the result.
1)Find the number of outcomes in the sample space, n(S), of the trial of this game.
2)List and count all the outcomes for event E, in which the product of the two numbers rolled is odd.
3)Find the probability of getting an odd number. In this case, you will calculate the probability, P(E), of event E, in which the product of the two numbers rolled is odd. Write the probability as a fraction reduced to lowest terms and as a decimal correct to two places.
Answers
Answer:
Step-by-step explanation:
They are saying the player gets points if the PRODUCT of the two numbers rolled is odd not the SUM So the answer should be
(1,3) (1,5) (3,1) (3,3) (3,5) (5,1)(5,3)(5,5) which is 9 out of 36 which would be 1/4 or 0.25
Final answer:
In this activity, the student needs to calculate the number of outcomes in the sample space, list and count the outcomes for event E, and find the probability of getting an odd number.
P(E) = 9/36 = 1/4 = 0.25.
Explanation:
To find the number of outcomes in the sample space (n(S)) of the trial, we need to consider all the possible combinations of rolling two six-sided dice. Since each die has six sides, the total number of outcomes for each die is 6. To find the total outcomes in the sample space, we multiply the outcomes for each die: n(S) = 6 * 6 = 36.
In this game, we are interested in the outcomes where the product of the two numbers rolled is odd. To list and count these outcomes, we need to consider the combinations where one or both of the numbers rolled is odd. By listing all the possible outcomes, we have: (1, 1), (1, 3), (1, 5), (3, 1), (3, 3), (3, 5), (5, 1), (5, 3), (5, 5). There are 9 outcomes for event E.
To find the probability of getting an odd number, we need to divide the number of outcomes for event E by the total number of outcomes in the sample space. P(E) = 9/36 = 1/4 = 0.25.
WILL GIVE BRAINLIEST ANSWER!!! PLEASE HELP!!! 12 POINTS!!!!!!!
The formula for the volume, V, of a right rectangular pyramid is one-third its base length, l, times its base width, w, times its height, h. Which of the equations below are equivalent to the formula described?
-----Note: more than one must be used-----
ANSWER OPTIONS:
* l = V over 3hw
* w = V over 3lh
* l = 3V over wh
* h = 3Vl over w
* w = 3V over lh
* h = V over 3lw
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h l w = 3V
l = 3V / w h Which is the third choice.
h = 3V / l w
w = 3V / h l - which is the fifth choice
The third and fifth are equivalent to the formula described.
Each of two trapezoidal prisms has a volume of 120 cubic centimeters. the prisms have no dimensions in common. give possible dimensions for each prism.
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If the height of one trapezoid is 4, the area would need to be 30. I wrote out the formula for area of a trapezoid (h (b1+b2)/2) and solved for 30. I multiplied both sides by 2 and saw that I needed a 60 from the sun of my 2 bases and the height of the trapezoid base. I used 2 for the height and 20 and 10 as the 2 bases.
For the second trapezoid, I used 6 as the height of the prism. This left me with 20 as the area. I used the same formula above and found that I needed to get 40. I used 5 as the height of the trapezoid and 1 and 7 as the two base lengths. Hope this helps!!
Jordan is 4 feet 8 inches tall, her mother is 5 ft 10 inches tall, how much taller is Jordan's mother than Jordan? Give your answer in feet and inches.
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PLEASE HELP ASAP!!!
The first figure is dilated to form the second figure.
Which statement is true?
The scale factor is 0.8.
The scale factor is 1.25.
The scale factor is 2.0.
The scale factor is 18.0.
Answers
10/8=1.25.
Answer: The answer is (a) The scale factor is 1.25.
Step-by-step explanation: We are given two figures in the question, where the second one is dilated from the first one. We are to find the scale factor here.
One side of the dilated figure is of length 10 inch and the original figure has a side of length 8 units.
Therefore, the scale factor is given by
[tex]S.F.=\dfrac{10}{8}=1.25.[/tex]
Therefore, the scale factor is 1.25 and (B) is the correct option.
Melina has 4 sheets of wacky face sticker individually from the sheet. She then divides them evenly into 3 piles to give to friends. How many stickers are in each pile?
Answers
SEE THE ATTACHED IMAGE.
For this case what we must do is first find the total number of stickers.
We have then:
(4) * (24) = 96
Then, we must organize the stickers in three piles.
We have then:
(96) / (3) = 32
Answer:
in each pile are 32 stickers
The answer explains how to divide 4 stickers into 3 piles, resulting in 1 sticker each.
To find out how many stickers are in each pile:
Count the total number of stickers = 4 sheets x 1 sticker per sheet = 4 stickers.Divide the total number of stickers evenly into 3 piles: 4 stickers ÷ 3 piles = 1 sticker in each pile.Find the area of the triangle. Round the answer to the nearest tenth.
A.
7.8 square units
B.
8.9 square units
C.
19.3 square units
D.
38.5 square units
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So the closest answer is C. 19.3
Hope this helps :)
Answer:
19.3 square units .
Step-by-step explanation:
∠D=∠F=52°
Opposite sides of equal angles are equal .
So, DE=EF =6.3
Now sum of all angles of triangle is 180°
So, ∠D+∠F+∠E = 180°
52°+52°+∠E =180°
104°+∠E =180°
∠E =180°-104°
∠E =76°
Now to find the length of DF we will use law of cosines
[tex]c^2=a^2+b^2+2(a)(b) Cos E[/tex]
[tex]DF^2=DE^2+EF^2+2(DE)(EF) Cos E[/tex]
[tex]DF^2=6.3^2+6.3^2+2(6.3)(6.3) Cos 76^{\circ}[/tex]
[tex]DF^2=79.38+79.38 (0.2419)[/tex]
[tex]DF^2=98.582[/tex]
[tex]DF=\sqrt{98.582}[/tex]
[tex]DF=9.9[/tex]
Now we are supposed to find the area of triangle
To calculate the area of given triangle we will use the heron's formula :
[tex]Area = \sqrt{s(s-a)(s-b)(s-c)}[/tex]
Where [tex]s = \frac{a+b+c}{2}[/tex]
a,b,c are the side lengths of triangle
Now substitute the values :
[tex]s = \frac{6.3+6.3+9.9}{2}[/tex]
[tex]s =11.25[/tex]
[tex]Area = \sqrt{11.25(11.25-6.3)(11.25-6.3)(11.25-9.9)}[/tex]
[tex]Area = 19.2907[/tex]
Hence the area of the triangle is 19.2907 ≈19.3 square units .
f(x)=9x^3+2x^2-5x+4 and g(x)=5x^3-7x+4 what isf(x)-g(x)
Answers
f(x) - g(x) = 4x³ + 2x² + 2x
Explanation:
We are given that:
f(x) = 9x³ + 2x² - 5x + 4
g(x) = 5x³ - 7x + 4
We want to get the value of f(x) - g(x). This means that we will simply subtract g(x) from f(x) as follows:
f(x) - g(x) = 9x³ + 2x² - 5x + 4 - (5x³ - 7x + 4)
f(x) - g(x) = 9x³ + 2x² - 5x + 4 - 5x³ + 7x - 4
f(x) - g(x) = 9x³ - 5x³ + 2x² - 5x + 7x + 4 - 4
f(x) - g(x) = 4x³ + 2x² + 2x
Hope this helps :)
A species of catfish, can generate up to 350 voltsWrite an inequality to represent the amount of electricity generated by the catfish
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The inequality to represent the amount of electricity generated by the catfish, which can generate up to 350 volts, is: [tex]\[ 0 \leq E \leq 350 \][/tex] where [tex]\( E[/tex] represents the amount of electricity in volts.
This inequality indicates that the electricity generated by the catfish is at least 0 volts and at most 350 volts. The lower bound of 0 volts is included because the catfish cannot generate negative voltage, and the upper bound of 350 volts is the maximum it can generate.
What is the value of x in the triangle?
Answers
We’re going to use Cosine because the angle and sides given are Adjacent and Hypotenuse- which goes with the CAH part of SOH CAH TOA.
Cos(18) = x/25
Multiply both sides by 25
25cos(18) = X = 23.776
So x = 23.776 cm
I hope this Helps!
And that gives you... x = 23.776 cm
What is the value of y in the parallelogram below?
Answers
Answer:
The answer is the option B
[tex]23\°[/tex]
Step-by-step explanation:
we know that
In a parallelogram consecutive angles are supplementary
so
In this problem
[tex]5y\°+65\°=180\°[/tex]
Solve for y
[tex]5y\°=180\°-65\°[/tex]
[tex]y=115\°/5=23\°[/tex]
Answer:
23
Step-by-step explanation:
just took the test
The perimeter of an isosceles triangle is 14 cm. One of its sides is twice longer than another of its sides. Find all sides of the triangle.
Answers
The side that is twice longer than another side make it equal 2*a.
So the total of the 3 sides would equal 14
4a = 14
So 2 sides = 3.5 and the third side = 7.
3.5 + 3.5 + 7 = 14
Answer:
Step-by-step explanation:
2.8, 5.6, 5.6
If sec a = 5/4 and a is an angle in quadrant iv find the value of cos a
Answers
sec a = 5/4
sec(a)=1/cos(a)
then
cos (a)=1/sec(a)
cos (a)=1/(5/4)=4/5---> is positive because the function cos is positive in IV quadrant
the answer is cos(a)=4/5
Which example best represents balanced forces
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The forces are equal and opposite, the book remains at rest, representing a state of balanced forces.
Balanced forces occur when the net force acting on an object is zero, meaning that the forces are equal in magnitude and opposite in direction. As a result, the object remains in a state of equilibrium and does not accelerate.
One example that best represents balanced forces is:
A book resting on a table.
When a book is placed on a table, it doesn't move because the force of gravity pulling it down (its weight) is balanced by the normal force exerted by the table, pushing the book upward.
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Perpendicular lines AB and CD intersect at point E. If m∠AED = x + 20, what is the value of x?
A.) 160
B.) 110
C.) 90
D.) 70
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how are solutions, roots, and x-intercepts of a quadratic related?
Answers
You can solve a quadratic equation by factoring by applying a equation called "Quadratic formula", which is usually used when you can't factorize it. This formula is:
x=(-b±√(b^2-4ac))/2a
Answer:
Step-by-step explanation:
The quadratic equation [tex]ax^2+bx+c=0[/tex]
The roots of quadratic equation is defined as that value when we substitute in the quadratic equation then we get zero.
Solution of quadratic equation is defined as that value of roots which substitute in the equation then we get zero.
x-intercept of the quadratic equation is defined as that real value of x on the x- axis when we substitute in the equation then the value of equation becomes zero.
From the above definitions we can see that roots of quadratic equation can be imaginary or real but x- intercept value of equation is always a real value.
Solution is also called the value of roots but x- intercept is equal to roots when the value of roots is real.
Now, we can says that roots and solutions of quadratic equation are same when values of roots are real. But when the roots are imaginary then we can not find x- intercept in cartesian coordinate plane .
Let a(−9, 4) and b(3, −12) be points in the plane. (a) find the slope of the line that contains a and
b.
Answers
Slope of the line = -4/3
What is slope?The slope of a line is defined as the change in y coordinate with respect to the change in x coordinate of that line. The net change in y coordinate is Δy, while the net change in the x coordinate is Δx. So the change in y coordinate with respect to the change in x coordinate can be written as,
The slope of line is the measure of steepness or the direction of line the coordinate plane.
m = Δy/Δx
where, m is the slope
Given,
A = (-9,4)
B = (3, -12)
Slope of line AB = (y - y')/(x-x')
= -12-4/3 - -9
= -16/12
Slope of line AB = -4/3
Hence, -4/3 is the slope of the line.
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What is the relation between the graphs of f(x)=x^2 and g(x)=x^2+6?
a.
the graph of g(x) is a translation of the graph of f(x) up 6 units
c.
the graph of g(x) is a translation of the graph of f(x) right 6 units
b.
the graph of g(x) is a translation of the graph of f(x) left 6 units
d.
the graph of g(x) is a translation of the graph of f(x) down 6 units
Answers
Answer:
I think it is the first one
Step-by-step explanation:
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