what does m represent in the equation y = mx+b?

Answer:

P = 150 - 25w

Step-by-step explanation:

Amount borrowed = $150

Repayment amount = $25 each week

P = amount Nancy owes

w = number of weeks

Amount Nancy owes = amount borrowed - repayment plan per week

P = 150 - 25w

During the first week of repayment: when w = 1

P = 150 - 25w

P = 150 - 25(1)

= 150 - 25

= 125

P = $125

Answer:

20%

Step-by-step explanation:

Not sure if this is exactly correct, but let's say we start with 1 unit. If it increased by 25%, we get:

1 × 1.25 = 1.25 units.

Now, to get back to 1 unit, we need to find:

1.25 × ?  = 1

? = [tex]\frac{1}{1.25}[/tex] = 0.80

So, 100% - 80 % = 20%

A 20% decrease.

Not completely sure though.

Answer:

0.8

Step-by-step explanation:

Answer:

Y<2x

Step-by-step explanation:

Answer:

y = 5x + (anything except negative 10)

For example:

y = 5x + 5

Step-by-step explanation:

A parallel equation is any equation with the same slope, but a different y intercept. As long as your y intercept isn't - 10, your answer will be parallel.

Answer:

[tex]x \le 5[/tex]

Step-by-step explanation:

Given

Shape: Cube

Dimensions: x, 3x and 2x

[tex]Volume < 900[/tex]

Required

Show that [tex]x \le 5[/tex]

First, calculate the volume

[tex]Volume = x * 3x * 2x[/tex]

[tex]Volume = 6x^3[/tex]

[tex]Volume < 900[/tex] becomes

[tex]6x^3 < 900[/tex]

Divide both sides by 9

[tex]x^3 < 150[/tex]

For [tex]x^3 < 150[/tex], the value of x as to be: 1, 2, 3, 4 or 5

Hence:

[tex]x \le 5[/tex]

Answer:

5n

Step-by-step explanation:

Answer:

Step-by-step explanation:

36x⁴ /12x⁴ + 12x⁸ / 12x⁴

3x+x²

Answer:

8x + 245

Step-by-step explanation:

8(x + 30) + 5

8x + 240 +5

8x + 245

good luck, i hope this helps :)

Answer:

(4,5)

Step-by-step explanation:

Answer:

it will take 12 hours

Step-by-step expl

Answer:

(x, y) = (6, -6)

Step-by-step explanation:

Given:

A plane is normal to the vector = -2i+5j+k

It contains the point (-10,7,5).​

To find:

The component equation of the plane.

Solution:

The equation of plane is

[tex]a(x-x_0)+b(y-y_0)+c(z-z_0)=0[/tex]

Where, [tex](x_0,y_0,z_0)[/tex] is the point on the plane and [tex]\left< a,b,c\right>[/tex] is normal vector.

Normal vector is -2i+5j+k and plane passes through (-10,7,5). So, the equation of the plane is

[tex]-2(x-(-10))+5(y-7)+1(z-5)=0[/tex]

[tex]-2(x+10)+5y-35+z-5=0[/tex]

[tex]-2x-20+5y-35+z-5=0[/tex]

[tex]-2x+5y+z-60=0[/tex]

[tex]-2x+5y+z=60[/tex]

Therefore, the equation of the plane is [tex]-2x+5y+z=60[/tex].

Answer:

hi

Step-by-step explanation:

Daniel bought 1 pound of jelly beans and 2 pounds of chocolates for $2.00. ... for $1.50. How much would he have to pay on his next trip to the candy store if he bought 1 pound of each of the 4 kinds ... How many are there? Assign ... Multiply each equation by a factor, so that all equations will have the same total price: 3(1j +.

Answer: 9420meters³

Step-by-step explanation:

The formula to calculate the volume of the cylindrical tank will be:

= πr²h.

where,

π = 3.14

r = radius = diameter/2 = 20/2 = 10

h = height = 30

Volume = πr²h

= 3.14 × 10² × 30

= 3.14 × 100 × 30

= 9420meters³

Answer:

m∡A = 100°

m∡B = 50°

m∡C = 30°

Step-by-step explanation:

let 'x' = m∡B;  50°

let '2x' = m∡A;   100°

let 'x-20' = m∡C;   30°

x + 2x + x - 20 = 180

4x - 20 = 180

4x = 200

x = 50

Answer:

huh?nani?

ksjn

lsjsmskkks

Answer:

x=21

Step-by-step explanation:

69+90= 159

180-159=21

Answer:

wag na baka imyday mo pa

Step-by-step explanation:

hahahahahahahahahahahahahahahahahaahhaahahahahahhahahahahahahahahahahahahahahahahahahahahahahahahhahahahah ahahahahahahaha ahahahahahahaha ahahahahahahaha hahahahahah ahahahahahahaha

9514 1404 393

Answer:

  29

Step-by-step explanation:

Let w represent the number of wins. Then the number of losses is w-18. The total number of games played is ...

  wins + losses = 40

  w + (w-18) = 40

  2w = 58

  w = 29

The Rangers won 29 games.

Answer:

A: 2

Step-by-step explanation:

EDGE 2021

Considering that the magnitude of the complex number x is of 13, a possible value of b is of 2.

A complex number is modeled by:

z = a + bi.

In which:

In this problem, the number is:

x = 3 + bi.

It's magnitude is given by:

[tex]|x| = \sqrt{3^2 + b^2}[/tex]

Then:

[tex]\sqrt{3^2 + b^2} = \sqrt{13}[/tex]

[tex]3^2 + b^2 = 13[/tex]

[tex]b = \pm \sqrt{4}[/tex]

[tex]b = \pm 2[/tex]

A possible value of b is of 2.

More can be learned about complex numbers at https://brainly.com/question/25572463

#SPJ2

Answer:

8:6 and 16:12

Step-by-step explanation:

Answer:

80 ft

Step-by-step explanation:

i dont really know if this is the right answer plz tell me if im wrong

Answer:

a. [tex]dA(t)/dt = 50 - \frac{7A(t)}{400} where A(0) = 400[/tex]

b. [tex]A(t) = \frac{20000}{7} + \frac{17200}{7}e^{-7t/400}[/tex]

c. 3.717 kg

Step-by-step explanation:

a) Write the differential equation that represents the problem.

Let A(t) be the amount of dissolved oxygen in the tank at any time, t.

The net flow rate dA(t)/dt = mass flow in - mass flow out

Since 10 g/l of oxygen flows in at a rate of 5 l/min, the mass flow in is 10 g/l × 5 l/min = 50 g/min

Since A(t) is the amount of oxygen present in the tank at time, t, and the volume of the tank is 400 liters. The concentration of oxygen in the tank is thus A(t)/400 g/l.

Also, water is being pumped out at a rate of 7 l/min. So, the mass flow out is thus concentration × flow rate out = A(t)/400 g/l × 7 l/min = 7A(t)/400 g/min

So, dA(t)/dt = mass flow in - mass flow out

dA(t)/dt = 50 - 7A(t)/400 with A(0) = 400 l × 1 g/l = 400 g since the tank initially contains 1 g/l of dissolved oxygen and has a volume of 400 l

So, the differential equation is

dA(t)/dt = 50 - 7A(t)/400  where A(0) = 400 g

[tex]dA(t)/dt = 50 - \frac{7A(t)}{400} where A(0) = 400[/tex]

b) Solve the differential equation

To solve the equation, we use separation of variables, so

dA(t)/dt = 50 - 7A(t)/400  where A(0) = 400 g

dA(t)/(50 - 7A(t)/400) = dt

Integrating both sides, we have

∫dA(t)/(50 - 7A(t)/400) = ∫dt

-7/400 ÷ -7/400∫dA(t)/(50 - 7A(t)/400) = ∫dt

1/ (-7/400)∫-7/400dA(t)/(50 - 7A(t)/400) = ∫dt

(-400/7)㏑(50 - 7A(t)/400) = t + C

㏑(50 - 7A(t)/400) = -7t/400 + (-7/400)C

㏑(50 - 7A(t)/400) = -7t/400 + C'     (C' = (-7/400)C)

taking exponents of both sides, we have

50 - 7A(t)/400 = exp[(-7t/400) + C']

50 - 7A(t)/400 = exp(-7t/400)expC'

[tex]50 - \frac{7A(t)}{400} = e^{-7t/400}e^{C'} \\50 - \frac{7A(t)}{400} = Ae^{-7t/400} A = e^{C'}\\ \frac{7A(t)}{400} = 50 - Ae^{-7t/400} \\A(t) = \frac{400}{7} X 50 - \frac{400}{7} Ae^{-7t/400} \\A(t) = \frac{20000}{7} - \frac{400}{7} Ae^{-7t/400}[/tex]

when t = 0 , A(0) = 400. So,

[tex]A(t) = \frac{20000}{7} - \frac{400}{7} Ae^{-7t/400} \\A(0) = \frac{20000}{7} - \frac{400}{7} Ae^{-7(0)/400}\\A(0) = \frac{20000}{7} - \frac{400}{7} Ae^{0/400}\\A(0) = \frac{20000}{7} - \frac{400}{7} Ae^{0}\\A(0) = \frac{20000}{7} - \frac{400}{7} A\\400 = \frac{20000}{7} - \frac{400}{7} A\\\frac{400}{7} A = 400 - \frac{20000}{7}\\\frac{400}{7} A = \frac{2800}{7} - \frac{20000}{7}\\\frac{400}{7} A = -\frac{17200}{7}\\\\A = -\frac{17200}{7} X \frac{7}{400} \\A = -43[/tex]

So,

[tex]A(t) = \frac{20000}{7} - \frac{400}{7} X -43e^{-7t/400} \\A(t) = \frac{20000}{7} + \frac{17200}{7}e^{-7t/400}[/tex]

c) At 1 p.m., what is the amount of dissolve oxygen in the fish tank.

At 1 p.m, t = 60 min

So, the amount of dissolved oxygen in the fish tank is A(60)

So,

[tex]A(t) = \frac{20000}{7} + \frac{17200}{7}e^{-7t/400}\\A(60) = \frac{20000}{7} + \frac{17200}{7}e^{-7X60/400}\\A(60) = \frac{20000}{7} + \frac{17200}{7}e^{-420/400}\\A(60) = \frac{20000}{7} + \frac{17200}{7}e^{-1.05}\\A(60) = \frac{20000}{7} + \frac{17200}{7} X 0.3499\\A(60) = \frac{20000}{7} + \frac{6018.93}{7} \\A(60) = \frac{26018.93}{7} \\A(60) = 3716.99 g[/tex]

A(60) ≅ 3717 g

A(60) ≅ 3.717 kg

Answer:

c. is always true

Step-by-step explanation: