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3 years ago

Help me. Plsss This Assignment is due in five minutes pls helpppp

Mathematics

1 answer:

posledela3 years ago

8 0

Answer:

Step-by-step explanation:

24% = 12

100 ÷ 24 is 4.17

12 × 4.16 = 50

im not a 100% sure but if its due so soon then i hope at least you have an answer

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This is the question can someone help

agasfer [191]

Answer:

The coordinates of the vertices of triangle Q'R'S' will be:

Q'(-6, 9)

R'(-9, 3)

S'(-2, 2)

Step-by-step explanation:

Given the coordinates of the vertices QRS

The coordinates of the vertex Q is (-2, 3)

The coordinates of the vertex R is (-5, -3)

The coordinates of the vertex Q is (2, -4)

As we know the rules of translation that:

If you move horizontally 'c' units to the left, then 'c' units are subtracted to the x-coordinate of each of the vertices.

if you move 'c' units up, then 'c' units are added to the y-coordinate of each of the vertices.

Translation 6 units up and 4 units to the left.

(x, y) → (x - 4, y + 6)

As the triangle Q'R'S' is the image of the triangle QRS translated 6 units up and 4 units to the left.

So,

the coordinates of Q' will be:

(x, y) → (x - 4, y + 6) = (x, y) → (-2 - 4, 3 + 6) = (-6, 9)

the coordinates of R' will be:

(x, y) → (x - 4, y + 6) = (x, y) → (-5 - 4, -3 + 6) = (-9, 3)

the coordinates of S' will be:

(x, y) → (x - 4, y + 6) = (x, y) → (2 - 4, -4 + 6) = (-2, 2)

Therefore, the coordinates of the vertices of triangle Q'R'S' will be:

Q'(-6, 9)

R'(-9, 3)

S'(-2, 2)

6 0

3 years ago

Suppose that a large mixing tank initially holds 500 gallons of water in which 50 pounds of salt have been dissolved. Another br

aliya0001 [1]

Answer:

$A=1500-1450e^{-\dfrac{t}{250}}$

Step-by-step explanation:

The large mixing tank initially holds 500 gallons of water in which 50 pounds of salt have been dissolved.

Volume = 500 gallons

Initial Amount of Salt, A(0)=50 pounds

Brine solution with concentration of 2 lb/gal is pumped into the tank at a rate of 3 gal/min

$R_{in}$ =(concentration of salt in inflow)(input rate of brine)

$=(2\frac{lbs}{gal})( 3\frac{gal}{min})\\R_{in}=6\frac{lbs}{min}$

When the solution is well stirred, it is then pumped out at a slower rate of 2 gal/min.

Concentration c(t) of the salt in the tank at time t

Concentration, $C(t)=\dfrac{Amount}{Volume}=\dfrac{A(t)}{500}$

$R_{out}$ =(concentration of salt in outflow)(output rate of brine)

$=(\frac{A(t)}{500})( 2\frac{gal}{min})\\R_{out}=\dfrac{A}{250}$

Now, the rate of change of the amount of salt in the tank

$\dfrac{dA}{dt}=R_{in}-R_{out}$

$\dfrac{dA}{dt}=6-\dfrac{A}{250}$

We solve the resulting differential equation by separation of variables.

$\dfrac{dA}{dt}+\dfrac{A}{250}=6\\$The integrating factor: e^{\int \frac{1}{250}dt} =e^{\frac{t}{250}}\\$Multiplying by the integrating factor all through\\\dfrac{dA}{dt}e^{\frac{t}{250}}+\dfrac{A}{250}e^{\frac{t}{250}}=6e^{\frac{t}{250}}\\(Ae^{\frac{t}{250}})'=6e^{\frac{t}{250}}$

Taking the integral of both sides

$\int(Ae^{\frac{t}{250}})'=\int 6e^{\frac{t}{250}} dt\\Ae^{\frac{t}{250}}=6*250e^{\frac{t}{250}}+C, $(C a constant of integration)\\Ae^{\frac{t}{250}}=1500e^{\frac{t}{250}}+C\\$Divide all through by e^{\frac{t}{250}}\\A(t)=1500+Ce^{-\frac{t}{250}}$

Recall that when t=0, A(t)=50 (our initial condition)

$50=1500+Ce^{-\frac{0}{250}}50=1500+Ce^{0}\\C=-1450\\$Therefore the amount of salt in the tank at any time t is:\\A=1500-1450e^{-\dfrac{t}{250}}$

4 0

4 years ago

Which expression is equivalent to 3m + 1 - m? 2 + m - 1 + - m 1 + m 3m - 1 3m

Rasek [7]

Answer:

I believe it would be A) 2 + m - 1 + - m

5 0

3 years ago

"Nick can complete 15 homework assignments in 3 hours."

Vladimir [108]

Answer:

1) 30

2) 40

Step-by-step explanation:

1) Nick will have finished 30 assignments in 6 hours because he can complete 5 assignments per hour and 6*5= 30.

2) Nick will have finished 40 assignments in 8 hours because he can complete 5 assignments per hour and 8*5= 40.

hope this helps!!

3 0

3 years ago

Read 2 more answers

The sqaure root of 1/5 of a number is 5. find the number

Mamont248 [21]

Answer:

Step-by-step explanation:

The number that we are trying to discover was divided by 5, which gave you the number of 5. To find the original number multiply 5 by 5. I hope this helps.

5 0

3 years ago