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3 years ago

The linear momentum is a constant when the mass varies inversely of the velocity. If the velocity is 16 meters per second

Mathematics

1 answer:

Travka [436]3 years ago

8 0

Answer:

The weight for an object with a velocity of 12 meters per second is 600 kilograms

Step-by-step explanation:

Formula of linear momentum : p = mv

where p is the momentum

m = mass

v = velocity

If the velocity is 16 meters per second and the object weighs 450 kilograms

Substitute the values

$p = 16 \times 450$

We are supposed to find the weight for an object with a velocity of 12 meters per second

So, p = 12m

We are given that The linear momentum is a constant when the mass varies inversely of the velocity.

So, $16 \times 450 = 12 m$

$\frac{16 \times 450}{12}=m$

600 = m

So,the weight for an object with a velocity of 12 meters per second is 600 kilograms

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Two airplanes are flying to the same airport. Their positions are shown in the graph. Write a system of linear equations that re

wariber [46]

Answer:

Airplane #1 equation: y=5/13x+42/13

Airplane #2 equation: y=1/3x+14

Step-by-step explanation:

So to find the slope of each airplane, you use the formula y2-y1/x2-x1. That means, for airplane#1 the equation will be 9-4/15-2. Simplify this and get 5/13. Then, for airplane#2, the equation will be 12-9/6-15. Simplify this and get 3/-9 and divide each side by 3 to get 1/-3 or -1/3. Next, use point slope formula to find the system of linear equations. Point slope formula is y-y1=m(x-x1). M is the slope. Use any point from the line. In this case, I will use (2,4). Tat means the first airplane's equation would be y-4=5/13(x-2). Then y-4=5/13x-10/13. Then, convert four into a fraction with a denominator of 13. This means, you have to multiply 4 by 13 to get 52/13. Add 52/13 to -10/13 to get 42/13. That means the first equation will be y=5/13x+42/13. The second equation point will be (6,12). This means the equation will be y-12=-1/3(x-6). Simplify this to get y-12=-1/3x+2. Simplify this to get y=1/3x+14. Therefore, Airplane#1 equation will be y=5/13x+42/13 and airplane #2 equation will be y=1/3x+14.

Hope this helps

6 0

3 years ago

COOKING Franklin is cooking a 3-pound turkey breast for 6 people. If the number of pounds of turkey varies directly with the num

Gwar [14]

<u>Answer-</u>

2, 4, and 8 people will need 1, 2, 4 pounds of turkey respectively.

<u>Solution-</u>

Given in the question, number of pounds of turkey varies directly with the number of people, i.e as the number of people increases or decreases, the pound of turkey also increases or decreases.

Taking,

x = number of people,

y = pounds of turkey.

This condition can be represented as,

$\Rightarrow y\ \alpha \ x\\\Rightarrow y=kx$

As given in the question, when x = 6 y = 3

$\Rightarrow 3=k\times 6$

$\Rightarrow k=\frac{3}{6}= \frac{1}{2}$

Now, putting the values of k in the equation, the equation becomes

$\Rightarrow y=\frac{1}{2}x$

Now, we can get the values of y or number of pounds of turkey needed by putting the given x or number of people.

All the calculations are shown in the attached table.

5 0

3 years ago

Solve the system using the elimination method.

spayn [35]

Answer:

(x, y, z) = (-22/13, 29/13, 6/13)

Step-by-step explanation:

Adding the first and second equations, we get ...

(3x +2y -3z) +(7x -2y +5z) = (-2) +(-14)

10x +2z = -16 . . . . collect terms

5x + z = -8 . . . . . . divide by 2 . . . [eq4]

Adding twice the second equation to the third, we get ...

2(7x -2y +5z) +(2x +4y +z) = 2(-14) +(6)

16x +11z = -22 . . . . . . [eq5]

Now, we have two equations with the variable y eliminated. We can subtract [eq5] from 11 times [eq4] to eliminate z:

11(5x +z) -(16x +11z) = 11(-8) -(-22)

39x = -66

x = -66/39 = -22/13

From [eq4], we can find z as ...

z = -8 -5x = -8 -5(-22/13) = 6/13

And from the second equation, we get ...

y = (1/2)(7x +5z +14) = (1/2)(7(-22/13) +5(6/13) +14) = 29/13

The solution is (x, y, z) = (-22/13, 29/13, 6/13).

6 0

3 years ago

Trigonometry help?? Thank you so much!!

liq [111]

Answer:

7) a = 60; b = 100

8) c = 20

9) d = 45

Step-by-step explanation:

a + 120 = 180

a = 60

b + 80 = 180

b = 100

5c + 4c = 180

9c = 180

c = 20

3d + d = 180

4d = 180

d = 45

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3 years ago

a dish has 21,245,673 bacteria in it. The population of bacteria will decline by 80% every day. How many bacteria will be presen

Ivahew [28]

Answer:

33993.0768

Step-by-step explanation:

You can multiply the number of bacteria by (0.2^4). The 0.2 is for the 20% that left after each day. The (^4) is for the 4 days that have passed.

6 0

3 years ago