The populations of two cultures of bacteria, A and B, after x hours are shown below. Which statement is a correct comparison of bacteria A and bacteria B?

Answers

Answer 1

Answer:

(c)

Step-by-step explanation:

Given

See attachment for A and B

Required

Compare A and B

First, we get the initial population of A and B.

The initial population is at when [tex]t =0[/tex]

From the table of bacteria A, we have:

[tex]Initial = 100[/tex] when [tex]t = 0[/tex]

From the graph of bacteria B, we have:

[tex]Initial = 75[/tex] when [tex]t = 0[/tex]

Since the initial of bacteria B is less than that of bacteria A, then (a) is incorrect.

Next, calculate the slope of A and B i.e. the rate

Slope (m) is calculated as:

[tex]m = \frac{y_2 - y_1}{t_2 - t_1}[/tex]

Where

y = Number of bacteria

t = time

For bacteria A:

[tex](t_1,y_1) = (0,100)[/tex]

[tex](t_2,y_2) = (2,140)[/tex]

So, the slope is:

[tex]m_A = \frac{140 - 100}{2 - 0}[/tex]

[tex]m_A = \frac{40}{2}[/tex]

[tex]m_A = 20[/tex]

For bacteria B:

[tex](t_1,y_1) = (0,75)[/tex]

[tex](t_2,y_2) = (1,100)[/tex]

So, the slope is:

[tex]m_B = \frac{100- 75}{1 - 0}[/tex]

[tex]m_B = \frac{25}{1 }[/tex]

[tex]m_B = 25[/tex]

Since [tex]m_B > m_A[/tex], then the rate of bacteria B is greater than that of bacteria A.

Hence, (d) cannot be true

Next, we determine the equation of both bacteria

This is calculated using:

[tex]y = m(t - t_1) + y_1[/tex]

For bacteria A, we have:

[tex]y = m_A(t - t_1) + y_1[/tex]

Where:

[tex](t_1,y_1) = (0,100)[/tex]

[tex]m_A = 20[/tex]

So:

[tex]y = 20(t - 0) +100[/tex]

[tex]y = 20(t) +100[/tex]

[tex]y = 20t +100[/tex]

For bacteria B, we have:

[tex]y = m_B(t - t_1) + y_1[/tex]

Where:

[tex](t_1,y_1) = (0,75)[/tex]

[tex]m_B = 25[/tex]

So:

[tex]y = 25(t - 0) + 75[/tex]

[tex]y = 25(t) + 75[/tex]

[tex]y = 25t + 75[/tex]

At 3 hours, the population of bacteria A is:

[tex]y = 20t +100[/tex]

[tex]y = 20* 3 + 100[/tex]

[tex]y = 60 + 100[/tex]

[tex]y = 160[/tex]

At 3 hours, the population of bacteria B is:

[tex]y = 25t + 75[/tex]

[tex]y=25 * 3 + 75[/tex]

[tex]y=75 + 75[/tex]

[tex]y=150[/tex]

After 3 hours, bacteria B is 150 while A is 160.

This implies that (c) is correct because the population of B is less than that of A, at 3 hour

Lastly, to check if they will ever have equal population or not, we simply equate both equations.

So, we have:

[tex]y = y[/tex]

[tex]25t + 75 =20t + 100[/tex]

Collect like terms

[tex]25t - 20t = 100 - 75[/tex]

[tex]5t = 25[/tex]

Solve for t

[tex]t = 25/5[/tex]

[tex]t = 5[/tex]

They will have equal population at 5 hours.

Hence, b is incorrect

From the above computation, only (c) is correct

The Populations Of Two Cultures Of Bacteria, A And B, After X Hours Are Shown Below. Which Statement

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Answer:

1. 1/7

2. 1/4

Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer: Answer to 13 is 16 as it is 81+ days. Answer 14 is 16/50 which is 32 percent The median on 15 is the 6th value and the minimum value is the smallest number in the sequence provided. The lower quartile is the 3rd number in the sequence but you need to put them from smallest to largest. The upper quartile is the 9th number in the sequence. The maximum value is the biggest number in the sequence

Step-by-step explanation:

If a1=4 and an =2an-1 – 1 then find the value of a4.

Answers

1 = 4

a2 = -2(a1) - 1
a2 = -2(4) - 1
a2 = -9

a3 = -2(a2) - 1
a3 = -2(9) - 1
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Can you do a4 and a5 and answer?

The value of [tex]a_{4} = 37[/tex].

Here,

The value of [tex]a_{1} = 4[/tex]

And,  [tex]a_{n} = 2 a_{n-1} -1[/tex]

We have to find value of [tex]a_{4}[/tex].

What is Sequence?

A sequence is a collection of elements that are arranged according to a specific pattern.

Now,

The value of [tex]a_{1} = 4[/tex]

And,  [tex]a_{n} = 2 a_{n-1} -1[/tex]

Then to find value of [tex]a_{4}[/tex], we can find [tex]a_{2} , a_{3}[/tex] as;

[tex]a_{2} = -2(a_{1} ) - 1\\a_{2} = -2(4) - 1\\a_{2} = -9[/tex]

And,

[tex]a_{3} = -2(a_{2} ) - 1\\a_{3} = -2(9) - 1\\a_{3} = -19[/tex]

Hence, the value of [tex]a_{4}[/tex] is;

[tex]a_{4} = -2(a_{3} ) - 1\\a_{4} = -2(-19) - 1\\a_{4} = 37[/tex]

Therefore, The value of [tex]a_{4} = 37[/tex].

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please help! ASAP!!!!

Answers

Answer:

Part A)  2(n/6) - 9

Part B)  the expression would change to 2(n/6) + 9 if  it said 'more than'

Step-by-step explanation:

choose the number that is equal to: 2/3 divided by (-3) A.)-2 B.) -2/9 C.)2/9 D.) 2

Answers

Answer

B

Explanation
Dividing by -3 is same as multiplying by -1/3. Multiply those two fractions to get -2/9

Represent 0.533 (only the last 3 is bar number) into a rational number

Answers

Answer:

[tex]\frac{8}{15}[/tex]

Step-by-step explanation:

We require 2 equations with the repeating 3 placed after the decimal point.

let x = 0.5333.. ( multiply both sides by 10 and 100 )

10x = 5.333... → (1)

100x = 53.333... → (2)

Subtract (1) from (2) tus eliminating the repeating 3

90x = 48 ( divide both sides by 90 )

x = [tex]\frac{48}{90}[/tex] = [tex]\frac{8}{15}[/tex]

Answer:

IT IS 8/15

Step-by-step explanation: Divide and multiply the fraction from 100 to tens

Which statements are true for the functions g(x) = x2 and h(x) = –x2 ? Check all that apply.

For any value of x, g(x) will always be greater than h(x).
For any value of x, h(x) will always be greater than g(x).
g(x) > h(x) for x = -1.
g(x) < h(x) for x = 3.
For positive values of x, g(x) > h(x).
For negative values of x, g(x) > h(x).

Answers

Answer:

For any value of x, g(x) will always be greater than h(x)

g(x) > h(x) for x = -1

For positive values of x, g(x) > h(x).

For negative values of x, g(x) > h(x).

Answer:

Which statements are true for the functions g(x) = x2 and h(x) = –x2 ? Check all that apply.

g(x) > h(x) for x = -1.  

For positive values of x, g(x) > h(x).  

For negative values of x, g(x) > h(x).

Step-by-step explanation:

and for the lazy people its just C, E, F

Which measurements could not represent the side lengths of a right triangle?
F 25 feet, 60 feet , 65 feet
G 9 feet, 12 feet, 15 feet
H 20 feet, 25 feet, 30 feet
12 feet, 35 feet, 37 feet

Answers

the answer is H because if you use pythagorean theorem, A^2 + B^2 = C^2, that one is the only one that has a different C solution

There are 200 marbles in the bag. John picks 10 marbles out of
the bag and 6 of them are red. What would be an estimate for
the number of red marbles in the bag?

Answers

Answer:

120

Step-by-step explanation:

10 x 20 = 200

thus 6 x 20 is 120

Cómo trazar Polígonos regulares utilizando material geométrico como la regla, compas y el graduador porfa ayuda

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Answer:

En matemática, un polígono construible es un polígono regular que puede ser construido con regla y compás. Por ejemplo, un pentágono regular es construible con regla y compás mientras que un heptágono regular no lo es.En matemática, un polígono construible es un polígono regular que puede ser construido con regla y compás. Por ejemplo, un pentágono regular es construible con regla y compás mientras que un heptágono regular no lo es.

solve for x. The segments labeled in the picture are the tangets.

Answers

D) 9
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Answers

Answer:

[-5, 10) or you can write [tex]-5\le x < 10[/tex]

Step-by-step explanation:

The domain is the set of all values of x used in the function. Scan across the graph from left to right (much as you do when reading). The first point you find on the graph has an x-coordinate 5 (see the solid dot?). Then, as you continue reading across the graph, there are values of x used until you get to 10. The dot at x = 10 is open, not filled in. That indicates that the number x = 10 is NOT used by the function.

So the domain is all real numbers greater than or equal to -5 and less than 10.

[-5, 10) is called interval notation; a square bracket means the value next to it IS used by the function, a parenthesis means the value next to it is NOT used.

Find the measure of arc FV

Answers

Answer:

FV = 60

Step-by-step explanation:

VG => 65 × 2 = 130

FH major arc=> 119 × 2 =  238

FH major arc -  GH = FG

FG => 238 - 168 = 70

VG - FG major arc = FV

FV => 130 - 70 = 60

Answer:

60 degrees

Step-by-step explanation:

The measure of an inscirbed angle is half the measure of the intercepted arc.

(The measure of the arc is twice the measure of the angle!)

The inscribed angle at V  intercepts an arc of 2 x 119 = 238 degrees, so the measure of arc FGH is 238.  Subtract arc GH from that, 238 - 168 = 70, so that is the measure of arc FG.

The angle at H intercepts an arc with measure 2 x 65 = 130.  The measure of arc VFG is 130.  But arc FG is part of that, so subtract its measure from 130.  130 - 70 = 60.

The measure of arc FV is 60 degrees.

Ms.Boyers is baking a cake for the holiday. She needs 3 cups of milk and 1 cup of corn syrup. How many ounces of milk and corn syrup does she need in all

Answers

Answer:

she will need 24 ounces of milk and 8 ounces of corn syrup

Step-by-step explanation:

let me know if im right good luck!

Answer:

[tex]48[/tex] oz of milk

[tex]16[/tex] oz of corn syrup

Step-by-step explanation:

[tex]3\times16=48\\1\times16=16[/tex]

Ill mark brainliest, question is attached

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go on mathpapa.com they solve / simplify / factorise and everything they're very good it's a calculator

Answer:

-15u^2

Step-by-step explanation:

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Answer:

416 cm2

Step-by-step explanation:

The formula for surface area of prism.

2Ab+ Pb*h

2(1/2)(12)(8)+ 32*10

= 96+320

= 416 cm2

if my answer helps please mark as brainliest.

The zeros of a quadratic function are -7 and 3. Which of the following could be the function? Select all that apply.
A. F(x)=2x^2-8x-42
B. F(x)=5x^2+20x-105
C. F(x)=x^2+4x-21
D. F(x)=x^2-4x-21

Answers

The possible functions are

A. F(x)=2x^2-8x-42

B. F(x)=5x^2+20x-105

C. F(x)=x^2+4x-21

How to determine the possible equations?

The zeros are given as:

x = -7 and x = 3

Rewrite as:

x +7 = 0 and x - 3 = 0

Multiply both zeros

(x + 7) * (x - 3) = 0 * 0

Evaluate the product

x^2 + 7x - 3x - 21 = 0

Evaluate the like terms

x^2 + 4x - 21 = 0

Express as a function

f(x) = a(x^2 + 4x - 21)

Where a is a constant

Let a = 1, 2 and  5 (according to the values in the options)

f(x) = 1 * (x^2 + 4x - 21) = x^2 + 4x - 21 --- option (c)

f(x) = 2 * (x^2 + 4x - 21) = 2x^2 + 8x - 42 --- option (a)

f(x) = 5 * (x^2 + 4x - 21) = 5x^2 + 20x - 105 --- option (b)

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Read more about quadratic functions at:

https://brainly.com/question/1214333

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Answers

Answer:

84

Step-by-step explanation:

7x3x4

,,,,,,,,,,,,,,,,

Answer:

84 in^3

v=length x width x height

Why do u need pi in this, there are no circle or sphere or cone, or whatever

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Answer:

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

x = 4.3588989435406

I hope it's helps you

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Step-by-step explanation:

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Look at the six then look at the number to the right, 5.

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Answers

Answer:

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Answer:

c is the one with function

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I think your answer is right.

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Answer:

d) none of these lines fit the data

Answer:

This has to be D - None of the lines fit the data

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[tex]\mathtt{: )}[/tex]

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