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Sholpan [36]
3 years ago
13

Consider the system of equations. y = 3x + 2       y = − 2 3 x − 4 Explain why these particular equations can be graphed immedia

tely.
Mathematics
1 answer:
inessss [21]3 years ago
3 0

Answer:

These equations are in slope-intercept form. I can use the y-intercept and slope to graph both lines. I plot the y-intercept and use rise over run to locate another point on the line. Then, I can draw a line through the two points.

Step-by-step explanation:

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Find the area of the surface correct to four decimal places by expressing the area in terms of a single integral and using your
love history [14]

If we substitute x=r\cos\theta and y=r\sin\theta, we get r^2=x^2+y^2, so that

z=\cos(x^2+y^2)=\cos(r^2)

which is independent of \theta, which in turn means the surface can be treated like a surface of revolution.

Consider the function f(t)=\cos(t^2) defined over 0\le t\le1. Revolve the curve C described by f(t) about the line t=0. The area of the surface obtained in this way is then

\displaystyle2\pi\int_C\mathrm dS=2\pi\int_0^1\sqrt{1+f'(t)^2}\,\mathrm dt

=\displaystyle2\pi\int_0^1\sqrt{1+(-2t\sin(t^2))^2}\,\mathrm dt

=\displaystyle2\pi\int_0^1\sqrt{1+4t^2\sin^2(t^2)}\,\mathrm dt\approx7.4144

4 0
3 years ago
Foram prescritos 500mg de dipirona para uma criança com febre.Na unidade tem disponivel ampola de 1g/2ml.Quantos g vão ser admin
Valentin [98]

De acordo com a disponibilidade da unidade, há apenas a seguinte dosagem: 1g/2mL - ou seja, uma grama de dipirona a cada 2mL

O enunciado está meio mal formulado, pois é dito que foram prescritos 500mg de dipirona e é essa quantidade de farmaco que a criança tem que tomar. Deseja-se saber quantos mL deverao ser administrados.

Fazendo a classica regra de 3, podemos chegar no volume desejado:

(atentar que 500mg = 0,5g)

     g               mL

     1    ---------   2

    0,5  ---------  X    

1 . X = 0,5 . 2

<h3>X = 1mL</h3>

8 0
3 years ago
Which of the following is a solution for the absolute value inequality |2x – 3| &gt; 6?
Mice21 [21]
This breaks into two inequalities:

2x - 3 > 6

and

-2x + 3 > 6

------------------------

2x - 3 > 6

Add 3 to both sides:

2x > 9

Divide 2 to both sides:

x > 4.5

-----------------------

-2x + 3 > 6

Subtract 3 to both sides:

-2x > 3

Divide -2 to both sides:

x < -1.5
3 0
3 years ago
Read 2 more answers
Which is the approximate solution for the system of equations x + 5= 10 and 3x + y = 1?
zheka24 [161]

Answer: The approximate solution is (-0.36, 2.08).

Given system of equations : x+5y=10 and 3x+y=1

3 0
3 years ago
Read 2 more answers
What is the area of the base of a triangular prism if the volume is 210 ft3 and the height is 14 ft?
Oksi-84 [34.3K]
We have the area of the base of a triangular prism= a*b
the volume of triangular prism =a*b*c( where c is the height) so that 210=a*b*14 ==> 210= base area*14==> base area= 210/14
3 0
3 years ago
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