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goldfiish [28.3K]
3 years ago
5

I need help with that plz got it rong it’s not 4

Mathematics
2 answers:
QveST [7]3 years ago
5 0
3 because x is equal to 3
stepan [7]3 years ago
3 0

Answer:

3

Step-by-step explanation:

x = 3

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In a survey of music preferences 81 out of 450 students said that they preferred country music what percent of the students pref
Kazeer [188]
To write 81/450 as a percent have to remember that 1 equal 100% and that what you need to do is just to multiply the number by 100 and add at the end symbol % .
<span>
81/450 * 100 = 0.18 * 100 = 18% </span>
81/450 as a percent<span> equals </span><span>18%</span>
6 0
3 years ago
Find the area of a circle with radius, <br> r<br> = 6.43m.<br> Give your answer rounded to 2 DP.
Vesna [10]

Answer:

129.89 m²

Step-by-step explanation:

Area of a circle of radius r is A = πr².

If r = 6.43 m, then A = π(6.43 m)²  =  129.89 m²

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3 years ago
I need help on a equation −4a5⋅6a5​
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I don’t understand the equation but you can use Photomath to solve any equation you need to solve. It’s and app for free.
7 0
3 years ago
A line passes through the points (–3, –4) and (6, 2). What number is the x-intercept?
LuckyWell [14K]

Answer:

<h2>D. 3</h2>

Step-by-step explanation:

\bold{METHOD\ 1}

\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{x-intercept:}\ (x,\ 0).\\\\\text{Susbtitute the coordinates of the points to the formula of a slope}\\\\(-3,\ -4),\ (6,\ 2),\ (x,\ 0):\\\\m=\dfrac{2-(-4)}{6-(-3)}=\dfrac{2+4}{6+3}=\dfrac{6}{9}=\dfrac{6:3}{9:3}=\dfrac{2}{3}\\\\m=\dfrac{0-2}{x-6}=\dfrac{-2}{x-6}\\\\\text{Therefore we have the equation:}\\\\\dfrac{-2}{x-6}=\dfrac{2}{3}\qquad\text{cross multiply}\\\\2(x-6)=(-2)(3)\\\\2(x-6)=-6\qquad\text{divide both sides by 2}\\\\x-6=-3\qquad\text{add 6 to both sides}\\\\x=3

\bold{METHOD\ 2}\\\\\text{Look at the picture.}

Mark points in the coordinate system.

Lead a line through these points.

Read x-intercept.

5 0
3 years ago
Read 2 more answers
Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in t
nataly862011 [7]

Let (<em>x</em>, <em>y</em>, <em>z</em>) be a point on the plane in the first octant. The box formed by this point has volume <em>xyz</em>, and you want to maximize this subject to the equation of the plane.

Use the method of Lagrange multipliers: the Lagrangian is

<em>L</em>(<em>x</em>, <em>y</em>, <em>z</em>) = <em>xyz</em> - <em>λ</em> (<em>x</em> + 2<em>y</em> + 3<em>z</em> - 6)

Find its critical points:

∂<em>L</em>/∂<em>x</em> = <em>yz</em> - <em>λ</em> = 0

∂<em>L</em>/∂<em>y</em> = <em>xz</em> - 2<em>λ</em> = 0

∂<em>L</em>/∂<em>z</em> = <em>xy</em> - 3<em>λ</em> = 0

∂<em>L</em>/∂<em>λ</em> = -(<em>x</em> + 2<em>y</em> + 3<em>z</em> - 6) = 0

Solving the first three equations for <em>λ</em> gives

<em>λ</em> = <em>yz</em> = <em>xz</em>/2 = <em>xy</em>/3

Solve these equations for <em>y</em> and <em>z</em> :

• <em>yz</em> = <em>xz</em>/2   =>   <em>y</em> = <em>x</em>/2   =>   2<em>y</em> = <em>x</em>

• <em>yz</em> = <em>xy</em>/3   =>   <em>z</em> = <em>x</em>/3   =>   3<em>z</em> = <em>x</em>

Substitute these solutions into the last equation and solve for <em>x</em>, then again for <em>y</em> and <em>z</em> :

<em>x</em> + 2<em>y</em> + 3<em>z</em> - 6 = 3<em>x</em> - 6 = 0   =>   3<em>x</em> = 6   =>   <em>x</em> = 2, <em>y</em> = 1, <em>z</em> = 2/3

At this critical point, the maximum volume is

<em>xyz</em> = 2*1*2/3 = 4/3

4 0
3 years ago
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