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2 years ago

560 divided 70 = 56 tens divided 7 tens=

Mathematics

1 answer:

Verizon [17]2 years ago

3 0

Answer:

Step-by-step explanation:

<h2>Hope this helped </h2>

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Ann wants to choose from two telephone plans. Plan A involves a fixed charge of $10 per month and call charges at $0.10 per minu

Kay [80]

Ann wants to choose from two telephone plans. Plan A involves a fixed charge of $10 per month and call charges at $0.10 per minute. Plan B involves a fixed charge of $15 per month and call charges at $0.08 per minute.

Plan A $10 + .10/minute

Plan B $15 + .08/minute

If 250 minutes are used:

Plan A: $10+$25=$35
Plan B: $15+$20=$35

If 400 minutes are used:

Plan A: $10+$40=$50
Plan B: $15+$32=$47

B is the correct answer. How to test it:

Plan A: $10+(.10*249 minutes)
$10+$24.9=$34.9

Plan B: $15+(.08*249 minutes)
$15+$19.92=$34.92

Plan A < Plan B if less than 250 minutes are used.

4 0

2 years ago

Write the given differential equation in the form L(y) = g(x), where L is a linear differential operator with constant coefficie

melamori03 [73]

Answer:

The complete solution is

$\therefore y= Ae^{3x}+Be^{-\frac13 x}-\frac43$

Step-by-step explanation:

Given differential equation is

3y"- 8y' - 3y =4

The trial solution is

$y = e^{mx}$

Differentiating with respect to x

$y'= me^{mx}$

Again differentiating with respect to x

$y''= m ^2 e^{mx}$

Putting the value of y, y' and y'' in left side of the differential equation

$3m^2e^{mx}-8m e^{mx}- 3e^{mx}=0$

$\Rightarrow 3m^2-8m-3=0$

The auxiliary equation is

$3m^2-8m-3=0$

$\Rightarrow 3m^2 -9m+m-3m=0$

$\Rightarrow 3m(m-3)+1(m-3)=0$

$\Rightarrow (3m+1)(m-3)=0$

$\Rightarrow m = 3, -\frac13$

The complementary function is

$y= Ae^{3x}+Be^{-\frac13 x}$

y''= D², y' = D

The given differential equation is

(3D²-8D-3D)y =4

⇒(3D+1)(D-3)y =4

Since the linear operation is

L(D) ≡ (3D+1)(D-3)

For particular integral

$y_p=\frac 1{(3D+1)(D-3)} .4$

$=4.\frac 1{(3D+1)(D-3)} .e^{0.x}$ [since $e^{0.x}=1$ ]

$=4\frac{1}{(3.0+1)(0-3)}$ [ replace D by 0 , since L(0)≠0]

$=-\frac43$

The complete solution is

y= C.F+P.I

$\therefore y= Ae^{3x}+Be^{-\frac13 x}-\frac43$

4 0

2 years ago

Find x: a - bx = cx + d

V125BC [204]

Answer:

x= -(d-a)/(b+c)

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero

5 0

3 years ago

function f of x is a straight line which joins the ordered pairs negative 2.8, 16.4 and 3.5, negative 2.5. Function g of x is a

Alecsey [184]

Given the graph of the function
$f(x)=-3x+8$
and the graph of the function
$g(x)=(0.25)^x$

$-3x+8=(0.25)^x$ when f(x) = g(x).
This occurs at the point(s) of intersection of the graphs of the function f(x) and g(x).

From the graph, we can approximate the points of intersection of the graphs of the function f(x) and g(x) to pe points (-1.9, 13.7) and (2.7, 0).

5 0

3 years ago

A certain shop repairs both audio and video components. Let A denote the event that the next

alexdok [17]

Answer:

0.12 is the required probability.

Step-by-step explanation:

We are given the following in the question:

A: next component brought in for repair is an audio component

B: event that the next component is a compact disc player

$B \in A$