Answer:
The answer is A. f(x) = 5000(0.4)x, with a horizontal asymptote of y = 0, because 2,000 of the bacteria remain alive.
Step-by-step explanation:
Answer:
The correct option is A.
Step by step explanation:
The exponential function is defined as
Where, a is initial value and b is growth factor or decay factor.
The initial population of bacteria is 5000.
After each day of treatment, 40% of the sample remains alive. It means the growth factor or decay factor is
Therefore the required function is
The horizontal asymptote is y=0 because
Therefore option A is correct.
a partir del resultado obtenido ;con
Answer:
I don't understand what your asking here.
Your translation: From the result obtained; with
Step-by-step explanation:
An open box is to be made by using a piece of sheet metal with the dimensions of 4m by 2m. Determine the dimensions the box should be to maximize volume by cutting out the four corners of the material and folding up the edges to make the box. The material that is cut out is waste and cannot be used.
Answer:
Dimensions: 0.4 by 3.2 by 1.2
Step-by-step explanation:
I'm assuming here that we are cutting out squares out of each of the metal's corners:
Let x = the length of each cut-out square,
Each base (of the desired net square folded) is 4-2x, and 2-2x respectively,
Volume = x(4-2x)(2-2x)
= 4x^3 - 12x + 8x
Now we take the derivative:
[tex]\frac{d}{dx}\left[4x^3-12x^2+8x\right]\\\\= \frac{d}{dx}\left(4x^3\right)-\frac{d}{dx}\left(12x^2\right)+\frac{d}{dx}\left(8x\right)\\\\= 12x^2-24x+8[/tex]
We equate to 0 (0 for max volume), and solve using the quadratic formula:
[tex]12x^2-24x+8=0,\\\\x_{1,\:2}=\frac{-\left(-24\right)\pm \sqrt{\left(-24\right)^2-4\cdot \:12\cdot \:8}}{2\cdot \:12}\\\\= \frac{-\left(-24\right)\pm \:8\sqrt{3}}{2\cdot \:12}\\\\\mathrm{Separate\:the\:solutions}:\\\\x_1=\frac{-\left(-24\right)+8\sqrt{3}}{2\cdot \:12},\:x_2=\frac{-\left(-24\right)-8\sqrt{3}}{2\cdot \:12}\\\\x =\frac{3+\sqrt{3}}{3},\:x=\frac{3-\sqrt{3}}{3}\\\\x=1.57735\dots ,\:x=0.42264\dots[/tex]
So we approximate the side lengths to be 1.6 and 0.4 respectively. But when we plug in 1.6 for x, we get the volume as negative. Therefore x has to be 0.4.
Side lengths: 0.4, 4-2(0.4) => 3.2, 2-2(0.4) => 1.2
Factor each polynomial.
푥 2+ 4x + 3
Answer:
mines says 5+4x
Step-by-step explanation:
I don't know if u have it
What is mZMHJ?
O 35°
O 50°
O 72.5°
O 92.5°
Answer:
Your answer is
∠MHJ = 50°
Mark my answer as brainlist . I need that urgently . Folow me for more answer.
Step-by-step explanation:
The measure of angle ∠MHJ is 35.
Option A is the correct answer.
What are corresponding angles?The angles that are in the same position on a given two parallel lines intersected by a transversal line are called the corresponding angles.
Corresponding angles are always equal.
We can also have alternate angles which are always equal.
We can also have alternate interior and exterior angles which are equal.
The angles on the same side make upto 180 degrees
We have,
From the figure,
We can see that,
(2x - 20) and (x + 15) are opposite angles.
So,
2x - 20 = x + 15
2x - x = 15 + 20
x = 35
Thus,
The measure of angle ∠MHJ is 35.
Learn more about corresponding angles here:
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Halla la diferencia.
10,001
-3,573
Answer:
6,428
Step-by-step explanation:
solo usa una calculadora o una hoja de papel
Espero que esto te ayude y que tengas un gran dia.
Answer:
10,001 is a bigger number and 3,573 is smaller
Step-by-step explanation:
10,001 is a bigger number and 3,573 is smaller
I count on in equal steps.
My first number is -9, my fifth number is 7.
-9
2
7
T
What is my third number?
You can solve it by A. P
A5=7,A1=-9
A5=A1+4D
D=4
A3=A1+2D
=8-9=-1
A farmer sold 3/5 of his oranges to a first customer and 90 oranges to a second customer. How many oranges did he have altogether?
Pls help
Answer:
He had 225 oranges to start with
y varies directly as x and z. Y is equal to 16 when x=2 and z=4,find Y when x=1 and z=7
Answer:
here's one way: z^x = Y, 7^1 = 7
Y = 7
Step-by-step explanation:
câte numere de forma xy2t sunt divizibile cu 5
a. 200
b. 190
c. 162
d. 180
Answer:
câte numere de forma xy2t sunt divizibile cu 5
a. 200
I'm not sure about answer...
1/3 a = -5 whats the answer quick
Answer:
a=-15
Step-by-step explanation:
Answer:
A= -15
Step-by-step explanation:
How many of each type of bill ($1, $5, $10, $20) is in the cash register?
Answer:
I dont know
Step-by-step explanation:
pls give more context
Answer:
i cannot see the cash register so your answer is unknown by me
Step-by-step explanation:
Which expression has a value of 35 when p = 7?
Answer:
B) 5p
Step-by-step explanation:
If you substitute 7 in for each equation you will see that the answers are either 7, 38, or 32, which are not 35. But when you substitute 7 in for B, 5(7), and multiply it out you get 35. I hope this helps :)
This is a bit confusing for me, can anyone help me out?
Answer:
circumference=471
area=17671
Step-by-step explanation:
circumference=150pi=150*3.14=471
area=150/2=75 and 75^2pi=5625pi=17671
Find the radius of the sphere. Use 3.14 for
V= 113.04
Answer:
square root of pie represent the triangularity of the polverinizing sphere which is V=12.^7aN(f>82
PLZ HELP
Maya exercises at least 50 minutes per day.
Use t to represent Maya's amount of exercise (in minutes per day).
Answer:
425261625
Step-by-step explanation:
1+2-4252+425251-34%+5%
ellus
8
Which constant number would
you add to both sides of the
equation in order to complete
the square for the quadratic
function 1 = x2 – 3x?
Give your answer as a fraction in simplest form.
[?]
[]
HINT: Use ()?
Enter
9514 1404 393
Answer:
2.25
Step-by-step explanation:
Add the square of half the x-coefficient to complete the square.
(-3/2)² = 9/4 = 2.25
[Easy Question] Answer this with evidence of the answer that you provided with me!
Answer:
48
To start you will find the area as if it was a rectangle. To do that you have to do 8x12. 8x12 = 96, but to find the area of a triangle you take the area of the rectangle and divide it by 2. 96 divided by 2 is equal to 48.
There are other methods of solving this but I think this is the easiest way!
Can someone explain how this would be done, please?
A communications company is planning to launch a new satellite into orbit to improve the operation of its network. The longest distance that the satellite can send a reliable signal is 4,500 miles. The company is trying to determine the optimal height to operate the satellite so that it has maximum coverage of Earth within its range.
With the satellite directly overhead, how far above the surface of Earth does the satellite need to be so it provides the maximum coverage of its signal? Explain how you arrived at the answer.
Answer:
The satellite needs to be about 6,000 to 12,000 altitude because the higher it is the more it can connect to technology on earth
Step-by-step explanation:
Im not 100% sure but this is what I got for this question
The satellite needs to be about 6,000 to 12,000 altitude above the surface of Earth need to be so it provides the maximum coverage of its signal.
What should be the altitude of the satellite ?
A communications company is planning to launch a new satellite into orbit to improve the operation of its network. The longest distance that the satellite can send a reliable signal is 4,500 miles.
Thus, The company is trying to determine the optimal height to operate the satellite so that it has maximum coverage of Earth within its range.
The satellite needs to be about 6,000 to 12,000 altitude because the higher it is the more it can be connect to technology on earth.
LEarn more about satellite here;
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which images shows a reflection
I'll Give You Some Hints:
Let's Look at C.
In C, the triangle is translated 2 units to the right. Which means that it cannot be a reflection.
Let's Look at B.
In B there is a sideways triangle. That means it's a Rotation. Which means it's not Reflected.
Lastly, Let's Look at A.
To get from the original triangle to the triangle in A, you have to reflect twice. Once along a vertical line, and then along a horizontal line.
This Information Should Help You
I need help with math if you don't know the answer get out of the question and don't answer it and give the wrong answer or some link or even say "I don't know" or anything like that it's not fair to me cause it a waste of my points and time I will report your if you do that :) have a nice day and stay safe. PEOPLE WORK HARD FOR THERE POINTS IF YOU DON'T KNOW
a group of friends decided to share 4 chocolate bars, if each friend only ate 2/3 of a chocolate bar, how many friends shared the chocolate bars?
Answer:
6 friends
Step-by-step explanation:
Help me with question 1
Answer:
The most logical answer would be C.
Step-by-step explanation:
Can you help me please?
Answer:
option c.
n=12
.................................
LMNP is a rectangle. find the value of x and the length of each diagonal LN = 7 and MP = 4x + 3
Answer:
x=1
Diagonals are both 7
Step-by-step explanation:
Diagonals of a rectangle are both equal
So ...
4x + 3 = 7
4x = 4
x = 1
What's -2/9 * 5/6? I'm a bit stuck.
Answer:
-2/9*5/6
As it is multiplication we can directly multiply them.
Thus we will get,
(-2*5)/(9*6)
-10/54
And now by converting into the simplest form we will get,
-5/27
And this is the final answer.
hey... what's
[tex](a {}^{2} - b {}^{2} ) = [/tex]
Answer:
[tex](a^{2} - b^{2} ) = (a + b)(a - b)[/tex]
Step-by-step explanation:
This is the Difference of Squares: [tex](a^{2} - b^{2} ) = (a + b)(a - b)[/tex].
Hope it helps!
it is (a + b) ( a - b )
hope it helps
Is that right? Is x equal to 6?
Answer:
x=4
Step-by-step explanation:
It can't be x=6 because 15x6 is 90 and that doesn't allow for the 8x-2. The bottom half has to equal 180 because it's a straight line. So, 18x4=60. Then 8(4)-2 equals 30. 30+60=90. 90+90 equals 180.
Please help explain the easiest way
Answer:
60 m
Step-by-step explanation:
Triangle formula:
It’s x+8 at the bottom but if you solve this please give me a step by step so I know how to solve it, thank you!!♥️
Answer:
x=4.
Step-by-step explanation:
Let's solve your equation step-by-step.
5/15=x/ x+8
Step 1: Cross-multiply.
5/15=x/ x+8
5*(x+8)=x*(15)
5x+40=15x
Step 2: Subtract 15x from both sides.
5x+40−15x=15x−15x
−10x+40=0
Step 3: Subtract 40 from both sides.
−10x+40−40=0−40
−10x=−40
Step 4: Divide both sides by -10.
−10x−10=−40−10
Then your answer will be x=4.
point slope and slope intercept
Answer:
Step-by-step explanation:
Observe what happens to y if we move from x = 1 to x = 9: y decreases by 2. Thus, the slope of the line in question is m = rise / run = -2/8, or -1/4.
Writing the equation in point-slope form, y - k = m(x - h), we get:
y - 7 = (-1/4)(x - 1) (point-slope form)
Solving for y results in the slope-intercept form:
y = 7 - x/4 + 1, or
y = (-1/4)x + 8 (slope-intercept form)