which situation could be represented by -5 x 3

Answer:

vertex C could be at (6,0) or (2,8)

(I'm sorry if I'm wrong, but if not I hope this helps!)

Step-by-step explanation:

vertex C needs to be placed somewhere on the graph where it would form a right angle (and therefore a right-angled triangle as well). vertex C could be at (6,0) or (2,8). this is because at these two points vertex C will form a right angle, therefore making it a right-angled triangle.

Answer:

I'm pretty sure E

Step-by-step explanation:

think about it he traveled 70 feet in 5 minutes so he would still be below sea level

Answer:

The number A(t) of pounds of salt in the tank at time t = [tex]\frac{3t(100 - t)}{25}[/tex]

Step-by-step explanation:

Given - A large tank is filled to capacity with 400 gallons of pure water. Brine containing 3 pounds of salt per gallon is pumped into the tank at a rate of 4 gal/min. The well-mixed solution is pumped out at a rate of 8 gals/min.

To find - Find the number A(t) of pounds of salt in the tank at time t.

Proof -

Given that,

Capacity of water = 400 gallons

rate in flow = 4 gal/min

rate out flow = 8 gal/min

Concentration in = 3 lbs/gal

Concentration out = (Amount of salt at time t )/ (Solution in tank at time t)

Now,

Let

A(t) = Amount of salt in the tank at time t

Now,

Initially tank has 400 gallons of water, So

A(0) = 0 ................(1)

Now,

Rate of change in the amount of salt = [tex]\frac{d}{dt} A(t)[/tex]

                                                             = (Rate in flow )( Concentration In) - (Rate out flow )( Concentration out)

                                                             = (4) (3) - (8) ([tex]\frac{A(t)}{400 - 4t)}[/tex]

                                                             = 12 - [tex]\frac{2A(t)}{100 - t)}[/tex]

⇒[tex]\frac{d}{dt} A(t)[/tex] + [tex]\frac{2A(t)}{100 - t)}[/tex] = 12

Now,

Integrating Factor, I.F = [tex]e^{\int {\frac{2}{100 - t} } \, dt }[/tex]

                                    = [tex]e^{-2ln(100 - t)}[/tex]

                                    = (100 - t)⁻²

⇒I.F = (100 - t)⁻²

The solution becomes

A (I.F) = ∫ (I.F)(12) dt + C

⇒A (100 - t)⁻² = ∫12(100 - t)⁻² dt + C

⇒A (100 - t)⁻² = -12(100 - t)⁻¹ (-1) + C

⇒A(t) = [tex]12(100 - t)+ C(100 - t)^{2}[/tex]

Now,

We have A(0) = 0

⇒C = -12/100

∴ we get

A(t) = 12(100 - t) - [tex]\frac{12}{100}[/tex] (100 - t)²

     = 12(100 - t) [ 1 - [tex]\frac{100 - t}{100}[/tex] ]

     = 12(100 - t) ([tex]\frac{t}{100}[/tex])

     = [tex]\frac{3t(100 - t)}{25}[/tex]

⇒A(t) = [tex]\frac{3t(100 - t)}{25}[/tex]

∴ we get

The number A(t) of pounds of salt in the tank at time t = [tex]\frac{3t(100 - t)}{25}[/tex]

Answer:

im so sorry bt I dont know this one

Step-by-step explanation:

Answer:

Volume = l*w*h

Equation: 1620 = 9*9*h

1620=81h

h=20 cm

9514 1404 393

Answer:

  9.70 seconds

Step-by-step explanation:

The zero of the equation can be found using the quadratic formula.

  ax² +bx +c = 0

  x = (-b ±√(b² -4ac))/(2a)

We are only interested in the positive value of x, so this will be ...

  x = (-147 -√(147² -4(-16)(80)))/(2(-16)) = (147 +√2679)/32

  x ≈ 9.7028 ≈ 9.70 . . . . seconds

The rocket will hit the ground after about 9.70 seconds.

Answer:

8 degrees

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Answer:

5608.67 ÷ 7 = 801.24

Answer:

I think it is addition property

Answer:

D. f(x) = 2^x

Step-by-step explanation:

2^0 = 1

2^1 = 2

2^2 = 4

2^3 = 8

2^4 = 16

The base is always 2. The exponent changes and is x.

Answer: D. f(x) = 2^x

Answer: 15 10

Step-by-step explanation:                        

Answer:

455

Step-by-step explanation:

Answer:   777654

Step-by-step explanation:

lol

Answer:

25

Step-by-step explanation:

17+8

Answer:

3 cm cube: 27

6 cm cube: 216

Step-by-step explanation:

First, you would need to find the volume of the 3 cm cube: 3*3*3=27

To build this cube you would need 27 1 cm cubes

For the 6 cm side cube you would need to do 6*6*6=216

So you would need 216 1 cm cubes

Hope this helps!

Answer: D

Step-by-step explanation:

Answer:

C. [tex] Cos(28) = \frac{15}{17} [/tex]

Step-by-step explanation:

Recall: SOHCAHTOA

Thus,

[tex] Cos(\theta) = \frac{Adjacent}{Hypotenuse} [/tex]

Reference angle = 28°

Adjacent = 15

Hypotenuse = 17

Plug in the values

[tex] Cos(28) = \frac{15}{17} [/tex]

Answer:

45

Step-by-step explanation:

3 to the power of 2=9

and 9x5 =45

Answer:

24.5

Step-by-step explanation:

Answer:its 1

Step-by-step explanation:

Answer:

1543/100 is the answer

Answer:

y = 6x

Step-by-step explanation:

To write an equation, find the unit rate or constant of proportionality (k).

Using a point on the line, (3, 18):

Constant of proportionality, k = y/x = 18/3

k = 6

To write an equation, substitute k = 6 into y = kx.

Thus:

y = 6x

Answer:

The digit 5 in 357 is in the tens place while the digit in the number 465 is in the ones place

Step-by-step explanation:

Good luck

Answer:

x = 10

Step-by-step explanation:

it has 8 sides so:

total interior angle degrees = (180° x 8 sides) - 360° = 1080°

11x + 14 + 4x + 87 +2x + 70 + 4x + 31 + x + 92 + 3x + 167 + 5x + 48 + 2x + 251 = 1080°

combine like terms:

32x + 760° = 1080°

subtract 760° from both sides of the equation:

32x = 320°

divide both sides by 32:

x = 10

Answer: The answer is -2 it's just going to stay as -2 because y has no value.

Answer: this is the graph i wish that could help :)

Answer:

the inverse operation for addition is subtraction