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DIA [1.3K]
3 years ago
9

A printer prints 4 photos each minute. Let P be the number of photos printed in M minutes. Write an equation relating P to M . T

hen graph your equation using the axes below. Please include graph!

Mathematics
1 answer:
Soloha48 [4]3 years ago
6 0

Answer:

sorry i accidently put stuff in the comments

equation:

T=4M

graph: y=4x (pic is included)

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NISA [10]

1. 5.8 x 10^{7}

2. 2.5 x 10^{3}

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5 0
3 years ago
Hey! I am here with some geometry questions today!
mrs_skeptik [129]

Answer:

  • Parallelogram

Step-by-step explanation:

  • ED = FG = 4, easy to calculate
  • ED ║ FG, both are vertical line segments
  • EF = DG = √5²+1²= √26
  • EF ║ DG as the slopes are same
  • m(EF) = (7-6)/(6-1) = 1/5
  • m(DG) = (3-2)/(6-1) = 1/5

As we see the opposite sides are parallel and congruent. This is the property of a parallelogram

8 0
3 years ago
Consider the differential equation x^2 y''-xy'-3y=0. If y1=x3 is one solution use redution of order formula to find a second lin
Anastasy [175]

Suppose y_2(x)=y_1(x)v(x) is another solution. Then

\begin{cases}y_2=vx^3\\{y_2}'=v'x^3+3vx^2//{y_2}''=v''x^3+6v'x^2+6vx\end{cases}

Substituting these derivatives into the ODE gives

x^2(v''x^3+6v'x^2+6vx)-x(v'x^3+3vx^2)-3vx^3=0

x^5v''+5x^4v'=0

Let u(x)=v'(x), so that

\begin{cases}u=v'\\u'=v''\end{cases}

Then the ODE becomes

x^5u'+5x^4u=0

and we can condense the left hand side as a derivative of a product,

\dfrac{\mathrm d}{\mathrm dx}[x^5u]=0

Integrate both sides with respect to x:

\displaystyle\int\frac{\mathrm d}{\mathrm dx}[x^5u]\,\mathrm dx=C

x^5u=C\implies u=Cx^{-5}

Solve for v:

v'=Cx^{-5}\implies v=-\dfrac{C_1}4x^{-4}+C_2

Solve for y_2:

\dfrac{y_2}{x^3}=-\dfrac{C_1}4x^{-4}+C_2\implies y_2=C_2x^3-\dfrac{C_1}{4x}

So another linearly independent solution is y_2=\dfrac1x.

3 0
3 years ago
A dime has a radius of 8 1/2 millimeters. Find the circumference of a dime to the nearest tenth.
masya89 [10]
Dear Ffw299, we can find the circumference of a dime using the formula C=2πr. 2x3.14x8.5=59.5 millimeters in circumference.
8 0
3 years ago
Which of these statements is true
Eva8 [605]

Answer:

B:  The y-intercept is (0,2).

Step-by-step explanation:

See attached graph.

7 0
2 years ago
Read 2 more answers
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