The body of a 154 pound person contains approximately 2×10-1 milligrams of gold and 6×101 milligrams of aluminum. Based on this information, the number of milligrams of aluminum in the body is how many times the number of milligrams of gold in the body?
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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:

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:

(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:

A) 0.421

Step-by-step explanation:

[tex]\frac{59}{59+68+12+1} =\frac{59}{140}[/tex]

[tex]Answer:0.421[/tex]

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hope it helps...

have a great day!!

Answer: Job catagory.

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:

5/8

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

Answer:

Step-by-step explanation:

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

2x + 6y + 10x + 5y

Solving like terms

12x + 11y

Answer:

6 inches

Step-by-step explanation:

Hi there!

[tex]V=lwh[/tex] where l is the length, w is the width and h is the height of a rectangular prism

Plug in the volume (609), length (14.5) and width (7)

[tex]609=(14.5)(7)h\\609=(101.5)h[/tex]

Divide both sides by 101.5 to isolate h

[tex]\frac{609}{101.5} =\frac{101.5h}{101.5} \\6=h[/tex]

Therefore, the height of the shoebox is 6 inches.

I hope this helps!

Answer:

first question

5 push-ups a day

second question

50 push-ups

Step-by-step explanation:

First, you must divide 35 divided by 7 because if Cesar does the exact same amount of push-ups a day, you can divide the total number of push-ups by how many days. Which gets you your first answer 5.

Then you multiply the number of days by the number of push-ups Cesar does in a day.

10 x 5 = 50

Answer:

It depends how many points you already have

Step-by-step explanation:

how much are the essays worth? i might be able to get your final score if you tell me

Answer:

1

Step-by-step explanation:

sike i lied this is so easy pls try pls

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:

22%

Step-by-step explanation:

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:

70 - 80 foot per second

Step-by-step explanation:

Multiply the speed value by 1,467

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:

122.5 cm²

Step-by-step explanation:

a = 21cm

b = 14cm

h = 7cm

Area of given figure(trapezium) = [tex]\frac{a+b}{2} * h[/tex]

= 21 + 14/ 2 * 7

= 35/2 * 7

= 17.5 * 7

= 122.5 cm²

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:

A

Step-by-step explanation:

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!

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.