What is the domain of the function shown in the graph?

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

Answer:

22%

Step-by-step explanation:

Answer: 1

Step-by-step explanation:

8 yellow / 8 total = 8/8 = 1

Answer:

1) at the highest Point

KE= 0  PE=2116.8 N

2) 3 m above the ground

PE= 529.2 N KE=1587.6 N

3) at the ground

KE= 2116.8 N and PE=0

Step-by-step explanation:

The potential energy is given by

PE= mgh   where m is the mass , g is the acceleration due to gravity which is equal to 9.8 m/s² and h is the height.

The kinetic energy is given by KE= 1/2 mv² where m is the mass of the body and v is the velocity.

1) at the highest Point

Now at the highest point the  velocity is zero

KE= 1/2 mv²

KE= 0

PE = mgh

PE= 18 *9.8* 12= 2116.8 N

Total Energy = KE + PE= 0 + 2116.8 N= 2116.8 N

2) 3 m above the ground

At 3 m above the ground

PE= mgh

PE= 18 *9.8* 3= 529.2 N

According to law of conservation of energy the total energy ( sum of KE and PE)  remains the same at every point.

Total Energy = KE + PE

2116.8 N-529.2N= 1587.6N

KE=1587.6 N

3) at the ground

at the ground the height will be zero

PE= mgh

PE= 18 *9.8* 0= 0 N

According to law of conservation of energy the total energy ( sum of KE and PE)  remains the same at every point.

Total Energy = KE + PE

2116.8 N=2116.8 N + 0

KE= 2116.8 N

or

KE= 1/2 mv²

KE = 1/2* 18 *(15.36)²= 2116.8

Answer:

Step-by-step explanation:

9 square + 4 square = c Square

81 + 16 = c Square

98 = c square

98 Square root = c

can you choose me brainliest?

Answer:

1. 3mg

2. 3050g

3. 0.025g

4. 5700mg

5. 0.294g

6. 32mg

7. 13700mg

8. 2.441kg

9. 8.24g

10. 0.075kg

11. 430g

12. 0.721g

Step-by-step explanation:

This should be right :)

Answer:

111.2 Fahrenheit for the bottom one and 22.8 Celsius for the top one.

Step-by-step explanation:

Following the formulas for the numbers we can get this

Answer:

22.7 degree c

111.2 degree f

Step-by-step explanation:

Answer:

THE MEASUREMENT ON THE THIRD ANGLE IS 180!!

Step-by-step explanation:

Answer: i think its c

Step-by-step explanation:

but im not totally sure

Answer:

B. s = 9 inches

Step-by-step explanation:

We are given a square with a perimeter of 36 inches, along with a key that the perimeter is given through the equation P = 4s, where "s" stands for the length of one side. We are then asked to find which number s is.

Perimeter is when you add 4 sides altogether, in our case we have 36 inches as our perimeter. Since 4s is the main factor as to how we got 36 inches, we need to set up one system equation.

P = 4s

36 = 4s

Now we need to find a number that multiplies with 4 to get us 36, simple as that. Let's get s alone to retrieve our answer :

36 = 4s

Divide 4 from both sides :

9 = s

s = 9

Answer:

$1.45

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Money already had = $.84

Brother gave = $.61

So, total money Jacqueline has = Money already had + Brother gave money

= $.84 + $.61

= $1.45

Explanation : Total money Jacqueline has will be the total of the sum of the money she already had and the money her brother gave him.

Answer: Job catagory.

Answer:

does this help

Step-by-step explanation:

What is the maximum angle of a pendulum?

Paul Appell pointed out a physical interpretation of the imaginary period: if θ0 is the maximum angle of one pendulum and 180° − θ0 is the maximum angle of another, then the real period of each is the magnitude of the imaginary period of the other.

Answer:

3.5 is the the answer if it is 2,5 × 1,4

otherwise it is 40 if (2×5) × (1×4)

Answer:

3.5

Hope that this helps!

The angles surrounding the point p are 90 degrees

Then using the angle given, find the missing angles.

JPH = 90

HJP = 49

90+49 = 139

180 - 139 = 41

Therefore JHP = 41

HLP = HJP = 49

HLP = 49

KLP = 72

KLP + HLP = 72 + 49 = 121

Therefore, HLK = 121

LP = JP = 16

JP = 16

HL = HJ = 13

HL = 13

Hope this helps! =)

https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:forms-of-linear-equations/x2f8bb11595b61c86:standard-form/v/converting-from-slope-intercept-to-standard-form

This can help!

Answer:

y=2/5x+5

Step-by-step explanation:

Distribute 2/5 to the x and 10

At this point, y-1=2/5x+4

Add the 1

y=2/5x+5

Answer:

7. The Puerto Rican Parrot's are the limiting factor in this scenario. 8. Yes because the hurricanes are limiting the Parrots population. 9. Other ways species can be limited because of the weather are either any natural disasters.

Step-by-step explanation:

Hope this helped : )

Answer:

Yes.

Step-by-step explanation:

(10, -6) are the values to substitute in for x and y, respectively.

11(10) + 19(-6) = 110 - 114 = - 14

3(10) + 8(-6) = 30 - 48 = -18

Answer:

Step-by-step explanation:

2(x+3y)+5(2x+y)

2x + 6y + 10x + 5y

Solving like terms

12x + 11y

Answer:

The area between the curves is 4 square units.

Step-by-step explanation:

We want to find the area bounded by:

y = x

x = 0

in the interval x = 1, x = 3

This is simply equal to the integral of the function f(x) = x between x = 1 and x = 3

Written as:

[tex]\int\limits^3_1 {x} \, dx[/tex]

And the integral of x is equal to x^2/2

Then:

[tex]\int\limits^3_1 {x} \, dx = (\frac{3^2}{2} - \frac{1^2}{2}) = (\frac{9}{2} - \frac{1}{2} ) = \frac{8}{2} = 4[/tex]

The area between the curves is 4 square units.

Answer:

5/8

Step-by-step explanation:

Answer:

stop rushing me aaaaaaaaaahhhhhhhh

Step-by-step explanation:

Answer:

f(x) = x^2 - 3x - 28

Step-by-step explanation:

The root -4 corresponds to the factor (x + 4); the root 7 corresponds to (x - 7).  The equation is thus f(x) = (x + 4)(x - 7) = x^2 - 3x - 28, or

f(x) = x^2 - 3x - 28

The required perimeter of the rectangle is 28 units.

The rectangle is 4 sided geometric shape whose opposites are equal in lengths and all angles are about 90°.

Here,

Let's denote the length of the rectangle as L and the width as W. We know that the diagonal of the rectangle has a length of 10 units, and we can use the Pythagorean theorem to relate the length, width, and diagonal,
L² + W² = diagonal²  [= 10² = 100]

We also know that one side of the rectangle has a length of 6 units, which we can assume is the width W. Therefore, we can solve for the length L,
L² + 6² = 100

L² = 100 - 36

L² = 64

L = 8

So the length of the rectangle is 8 units.

To find the perimeter of the rectangle, we can use the formula P = 2L + 2W, where L is the length and W is the width:

P = 2(8) + 2(6)

P = 16 + 12

P = 28

Therefore, the perimeter of the rectangle is 28 units.

Learn more about rectangles here:

brainly.com/question/15019502

#SPJ2

Answer:

The first step is to subtract 4 to both sides. Next we must multiply both sides by 2. The answer is - 20

Answer:

D

Step-by-step explanation:

Answer:

C. 40 square meters

Step-by-step explanation:

The area for a kite can be figure out with this formula. pq/2. Substitute p for 8 & q for 10.

A = pq/2 {Substitutions made}

A = (8 * 10)/2 {Multiply 8 by 10 to get 80.}

A = 80/2 {Divide 80 by 2 to get 40.}

A = 40 square meters

The area of this kite of 40 square meters, which is C.