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2 years ago

1. Which is an example of an algebraic expression? 04(3 + 8) 018² 03-a 021.4

Mathematics

2 answers:

mars1129 [50]2 years ago

7 0

Answer:

03-a

Step-by-step explanation:

It's an algebraic expression cuz it has an unknown variable (a)

podryga [215]2 years ago

7 0

021.4 would be correct answer

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The force exerted by an electric charge at the origin on a charged particle at a point (x, y, z) with position vector r = x, y,

suter [353]

Answer:

$\frac{25k}{34}[\frac{1}{4}-\frac{1}{50^{1/2}}] \\$

Step-by-step explanation:

The straight line path between point (a,b,c) and (l,m,n) is parametric by the expression

$r(t)=(1-t)(a,b,c) +t(l,m,n)\\$

since we are giving point (4,0,0) and (4,3,4), the parametric equation is giving below

$r(t)=(1-t)(4,0,0) +t(4,3,4)\\$

using the dot product system of multiplication, we have

$r(t)=(4,3t,4t) \\$

t is between 0,1.

Next we define the line integral for work done which is express as

$\int\limits^a_b {F.} \,dr\\$

First we define the general expression for the force

$f(x,y,z)=\frac{K(x,y,z)}{(x^{2}+y^{2}+z^{2})^{3/2}} \\$

If we substitute our parametric equation we arrive at

$F(r(t))=\frac{K(4,3t,4t)}{(4^{2}+(3t)^{2}+(4t)^{2})^{3/2}}\\F(r(t))=\frac{K(4,3t,4t)}{(16+34t^{2})^{3/2}}\\$

also we need to find the expression for <em>dr</em>

$r(t)=(4,3t,4t)\\dr=(0,3,4)dt\\$

Now we substitute into the integral expression

$\int\limits^1_0 {\frac{k(4,3t,4t)}{(16+34t^{2})^{3/2}}} \, .(0,3,4)dt$

using dot product we arrive at

$\int\limits^1_0 {\frac{25kt}{{(16+34t^{2})^{3/2}} } \,$

let make a simple substitution so we can simplify the integral,

let assume $u=16+34t^{2}\\$

$\frac{du}{dt}=68t\\ dt=\frac{du}{68t} \\$

and changing setting the new upper and lower limit, we have

$\frac{25k}{68} \int\limits^a_b {\frac{1}{u\frac{3}{2} } } \, du\\a=50\\b=16\\$

by simple integral we arrive at

$-\frac{25k}{34}[\frac{1}{u^{1/2}}] ^{50}_{16} \\\frac{25k}{34}[\frac{1}{4}-\frac{1}{50^{1/2}}] \\$

Hence the workdone is

$\frac{25k}{34}[\frac{1}{4}-\frac{1}{50^{1/2}}] \\$

3 0

3 years ago

Which ordered pair is the solution to the system of equations?

Contact [7]

$\left \{ {{2x+y=-8} \atop {x-y=-4}} \right. \\+----\\\\3x=-12\ \ \ \ |:3\\x=-4\\\\-4-y=-4\\-4+4=y\\y=0\\\\Answer\ D(-4,0)$

5 0

3 years ago

2 questions

Alekssandra [29.7K]

Answer:

1. A. $33 loss

2. B

Step-by-step explanation:

1. -26 - 11 - 9 +13 = -33

2. B is the only graph in which the Whole Numbers do not contain a negative or decimal (which are not WNs)

8 0

3 years ago

The scatter plot shows the blood pressure of different ages. The equation represents the linear model for this data.

Sveta_85 [38]

Answer:

95 mm Hg

Hope this helped : )

5 0

3 years ago

Find the area of a circle with a radius of 5 feet. Round your answer to the nearest tenth.

klio [65]

Answer:

78.6

Step-by-step explanation:

Area of circle = Pi*r^2

r=5

for pi use calculator or pi=3.142

area =Pi*r2=(3.142)*5^2=(3.142)*25=78.55 = 78.6 (1 decimal place which is same with tenth)

7 0

3 years ago