i need help with this pls

Answer:

A differential equation of the form: [tex]dy/dx = f(x, y)[/tex] is [tex]\frac{-x}{y+2}[/tex]

Step-by-step explanation:

Step 1 of 3

a) Acceleration[tex]$\rightarrow v^{\prime}(t)$[/tex]

velocity [tex]$\rightarrow v(t)$[/tex]

Given that [tex]$v^{\prime}(t) \propto v^{2}(t)$[/tex]

[tex]\frac{d v}{d t}=k v^{2}[/tex]

[tex]k[/tex]  is proportionality constant.

Step 2 of 3

b) The population of Zootopia in year [tex]$t$[/tex], is [tex]$P(t)$[/tex]

Let [tex]$\beta$[/tex] the 'birth rate of Animals and [tex]$\delta$[/tex] the death rate of the population.

Then the population model is

[tex]\frac{d p}{d t}=(\beta-\delta) P$$[/tex]

Given that [tex]$\beta=50000$[/tex] and

[tex]$\delta=40000$[/tex]

So, [tex]$\frac{d P}{d t}=10000 P$[/tex]

Step 3 of 3

c) First we take the derivative of [tex]$f(x)$[/tex] i. e [tex]$f^{\prime}(x)$[/tex].

The evaluate it at [tex]$m_{1}=f^{\prime}(2)[/tex]

[tex]m_{2}=\frac{-1}{f^{\prime}(2)}$[/tex]

The normal line with slope [tex]$\frac{-1}{f^{\prime}(2)}$[/tex]

[tex]y-(-2)=\frac{-1}{f^{\prime}(2)}(x-0) \\[/tex]

[tex]y+2=\frac{-x}{f^{\prime}(2)}[/tex]

[tex]f^{\prime}(2)=\frac{f x}{(y+2)} \\[/tex]

[tex]&f^{\prime}(2)+\frac{x}{(y+2)}=0[/tex]

[tex]\frac{d y}{d x}=\frac{-x}{y+2}[/tex]

[tex] \large \mathfrak{Answer : }[/tex]

The equation of the red parabola is :

therefore , correct option in A

Hey there!

5x - 2

= 5(-1) - 2

= -5 - 2

= -7

Therefore, your answer is: -7

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

I think it's B (sorry if it is wrong)

Answer:

$41.50

Step-by-step explanation:

$39.95×4%=1.59

$39.95+1.59=$41.54

rounding total $41.50

Answer:

$156

Step-by-step explanation:

$39 x 4 = $156

Lilly gave a total of $156 to the clerk

Answer:

A) 30 months

B) RM282

Step-by-step explanation:

a1=50+(1-1)8

a1=50+(0)8

a1=50

a2=50+(2-1)8

a2=50+(1)8

a2=58

So this is true.

The formula is an=50(n-1)8

Hope this helps

x = a√2

a = 8

x = 8√2 ← the end answer

Answer:

square root of 25 <square root of 51 <square root of 81

5 <7.14 <9

Answer:

Step-by-step explanation:

Add the two amounts together.

Value = 900 + 2400

Value = 3300

Now take 70% of this value

70 / 100 * 3300 = 2310

Answer:

4x is the answer

did the assignment

Given :-

5 years ago, Ram's mother was five times his age

Ram's Mother is now thrice as old as him.

To find :-

Present age of Ram

Present age of Ram's mother

Solution :-

Let the present age of Ram be x years

Let the present age of Ram's mother be y years.

As per the first condition,

5 years ago, Ram's mother was five times his age

5 years ago,

Ram's age = x - 5

Mother's age = y - 5

Let's represent the first condition mathematically to get our first equation.

y - 5 = 5 ( x - 5)

y - 5 = 5x - 25

5x - 25 = y - 5

5x - y = - 5 + 25

5x - y = 20 -----> 1

As per the second condition,

If his mother is now thrice as old as him

Ram's age = 3x

Mother's age = y

Let's represent this too mathematically. Here we will get just the value of one of the variables, either x or y.

y = 3x

Substitute, y = 3x in equation 1,

5x - y = 20 ----> 1

Plug in the value of y,

5x - 3x = 20

2x = 20

x = [tex]\frac{20}2}[/tex]

x = 10

Present age of Ram = x = 10 years

Substitute, x = 10 in equation 1,

5x - y = 20 ---> 1

5 ( 10 ) - y = 20

50 - y = 20

- y = 20 - 50

- y = - 30

[canceling minus from both sides]

y = 30

Present age of Mother = y = 30 years

•°• Present age of Ram = 10 years.

For first case :-

5 years ago, Ram's mother was five times his age

Present age of Ram = 10 years

5 years ago,

Ram's age = 10 - 5 = 5 years

Present age of Mother = 30 years

5 years ago,

Mother's age = 30 - 5 = 25 years

Let's check if the ages satisfies the first condition,

Mother's age = 5 ( Ram's age )

25 = 5 ( 5 )

25 = 25

LHS = RHS.

For second case :-

His mother is now thrice as old as him

Mother's age = 30 years

Ram's age = 10 years

Let's check whether the second condition is satisfied or not.

Mother = 3 ( Ram's age)

30 = 3 ( 10)

30 = 30

LHS = RHS.

Hence the answer is verified.

Answer:

vertex = (2, - 1 )

Step-by-step explanation:

Given a parabola in standard form

f(x) = ax² + bx + c ( a ≠ 0 ) , then

The x- coordinate of the vertex is

[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]

f(x) = x² - 4x + 3 ← is in standard form

with a = 1, b = - 4 , then

[tex]x_{vertex}[/tex] = - [tex]\frac{-4}{2}[/tex] = 2

Substitute x = 2 into f(x) for corresponding y- coordinate

f(2) = 2² - 4(2) + 3 = 4 - 8 + 3 = - 1

vertex = (2, - 1 )

9514 1404 393

Answer:

  f(g(x)) = 10x³ +16

Step-by-step explanation:

Put the function arguments where they go and simplify in the usual way.

  f(g(x)) = f(√(5x³)) = 2(√(5x³))² +16 = 2(5x³) +16

  f(g(x)) = 10x³ +16

_____

Without knowing what f(x) and g(x) relate to in the real world, it is difficult to say what f(g(x)) represents. It is a composite function in which the value of g(x) is used as the argument for f(x).

Answer:

the third term is 6x making 6 the coefficient

the second term is 4xy making the 4 the coefficient

Step-by-step explanation:

Answer:

[tex] {d}^{3} a = b \\ \frac{ {d}^{3}a }{ {d}^{3} } = \frac{b}{ {d}^{3} } \\ \\ { \boxed{ \boxed{a = \frac{b}{ {d}^{3} } }}}[/tex]

The Weight of man after diet is  9/10(k).

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:

Given:

A man weighs k kg.

He goes on a diet and loses one-tenth of his weight.

So, the weight after diet is

= k - k(1/10)

= (10k - k)/ 10

= 9k /10

= 9/10(k)

Learn more about Expression here:

https://brainly.com/question/14083225

#SPJ2

-x - 10 > 14 + 2x

-x - 2x > 14 + 10

-3x > 24

Answer: A

Hey there! Here's your answer:

The missing steps are :  -3x > 24

Here's why:

The inequality is: -x - 10 > 14 + 2x

Now, we need to find the solution of the given inequality:

= x - 10 > 14 + 2x

Subtracting 2x from both the sides:

= -x - 10 - 2x > 14 + 2x - 2x

= -3x - 10 > 14

Adding 10 on both the sides:

= -3x - 10 + 10 > 14 + 10

= -3x > 24

Now, dividing both the sides by -3:

= x < -8

Therefore, the missing steps are:  -3x > 24

Hope this helps!

Answer:

[tex] {g}^{2} - 9g + 14[/tex]

Step-by-step explanation:

[tex](g - 7)( - 2)[/tex]

[tex]g \times ( g- 2) - 7(g - 2)[/tex]

[tex] {g}^{2} - 2g - 7g + 14[/tex]

[tex] {g}^{2} - 9g + 14[/tex]

3x-4=5

1. 3x=9

and

5. -4=5-3x

Answer:

-2x+15

Step-by-step explanation:

from means it comes after

2x+5 - ( 4x-10)

Distribute the minus sign

2x+5 -4x+10

Combine like terms

2x-4x  +5+10

-2x+15

Answer:

[tex]2x + 5 - (4x - 10) \\ 2x + 5 - 4x + 10 \\ - 2x + 15 \\ thank \: you[/tex]

Answer:

0

Step-by-step explanation:

You can't divide anything by zero

0÷0=

=0

9514 1404 393

Answer:

  A: ∠WXZ = 87°; ∠ZXY = 73°

Step-by-step explanation:

Ray XZ divides the angle WXY into parts that have a sum equal to the whole.

  (7x-4)° +(5x+8)° = 160° . . . . . whole is sum of parts

  12x = 156 . . . . . . . . . . . . . divide by °, subtract 4

  x = 13 . . . . . . . . . . . . . . divide by 12

  ∠WXZ = (7x -4)° = (7·13 -4)° = (91 -4)° = 87° . . . . . matches choice A

The answer is in the picture provided below. :)

Answer: I Think It’s A 315.786

Step-by-step explanation: Let me know if that’s correct

Step-by-step explanation:

I have been a while. I have been a while to find a place on a daily, and a bit. I have been made in a couple. This email and any files which I think it was not the same. We will have the same. We will have the same. We will have the same. We will have the same

Answer:

The relation cannot be a function if k=-9 or k=7

Step-by-step explanation:

For any relation not to be a function, one domain value should return more than one range.

==>  2-|k+1| = -6

Adding -2 on both sides,

-|k+1| = -8

Multiplying by (-1) on both sides,

|k+1| = 8

k+1 = 8    ;    -k-1 = 8

k = 7        ;    -k=9 => k=-9

k=7 or k=-9

9514 1404 393

Answer:

Step-by-step explanation:

The digital roots of the single-digit numbers 1-9 are just those numbers.

For numbers 10-18, the digits are the numbers 1-9, as for the numbers 19-27. In short, the digital root values are sequential, matching the remainder from division by 9 (except that numbers evenly divisible by 9 have a digital root of 9).

We also note that numbers divisible by 3 will have a digital root that is divisible by 3.

So, the patterns we notice are ...

_____

Additional comment

This is a consequence of our base-10 number system and modulo arithmetic. In a base-N number system, the "digital root" will be the value of the number modulo (N-1), again with the exception that 0 is replaced by (N-1). Divisors of (N-1) will also be divisors of the number if they divide the digital root.