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4 years ago

Round 227 to the nearest 100

Mathematics

2 answers:

sleet_krkn [62]4 years ago

8 0

200 is the obvious answer IDK what the other guy is saying

gladu [14]4 years ago

6 0

2 227 (7) makes the number before it go up 1 which is now 23 (3) makes the number before it stay the same so 2 is the answer

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Your company is introducing a fruit drink packaged in an aluminum box with a square

solong [7]

Answer:

See explanation

Step-by-step explanation:

Let x in be the base side length and y in be the height of the box. Since the base is a square, we have

$S=x^2\Rightarrow x=\sqrt{S}$

The volume of the box is

$V=S\cdot y\\ \\36=Sy\Rightarrow y=\dfrac{36}{S}$

The surface area of the box is

$SA=2x^2+4xy\\ \\SA(S)=2S+4\cdot \sqrt{S}\cdot \dfrac{36}{S}=2S+\dfrac{144}{\sqrt{S}}$

The graph of the function SA(S) is shown in attached diagram.

Find the derivative of this function:

$SA'(S)=(2S+144S^{-\frac{1}{2}})'=2-\dfrac{1}{2}\cdot 144\cdot S^{-\frac{1}{2}-1}=2-\dfrac{72}{S\sqrt{S}}$

Equate this derivative to 0:

$2-\dfrac{72}{S\sqrt{S}}=0\\ \\2S\sqrt{S}=72\\ \\S\sqrt{S}=36\\ \\S^{\frac{3}{2}}=6^2\\ \\S=6^{\frac{4}{3}}$

So, the dimensions that produce a minimum surface area for this aluminum box are:

$x=\sqrt{6^{\frac{4}{3}}}=6^{\frac{2}{3}} \ in\\ \\y=\dfrac{6^2}{6^{\frac{4}{3}}}=6^{\frac{2}{3}}\ in.$

4 0

3 years ago

Write the slope-intercept form of the equation of the line described. 8.) through: ( -4 , 5 ) , perpendicular to Y= 3/2x - 2

kozerog [31]

Answer

The equation of the required line in slope-intercept form is

y = (-2x/3) + (7/3)

Comparing this with y = mx + c,

Slope = m = (-2/3)

Intercept = c = (7/3)

Explanation

The slope and y-intercept form of the equation of a straight line is given as

y = mx + c

where

y = y-coordinate of a point on the line.

m = slope of the line.

x = x-coordinate of the point on the line whose y-coordinate is y.

c = y-intercept of the line.

So, to solve this, we have to solve for the slope and then write the eqution in the slope-point form which we can then simplify to the slope-intercept form

The general form of the equation in point-slope form is

y - y₁ = m (x - x₁)

where

y = y-coordinate of a point on the line.

y₁ = This refers to the y-coordinate of a given point on the line

m = slope of the line.

x = x-coordinate of the point on the line whose y-coordinate is y.

x₁ = x-coordinate of the given point on the line

The point is given as (x₁, y₁) = (-4, 5)

Then, we can calculate the slope from the information given

Two lines with slopes (m₁ and m₂) that are perpendicular to each other are related through

m₁ × m₂ = -1

From the line given,

y = (3/2)x - 2

We can tell that m₁ = (3/2), so, we can solve for m₂

(3/2) (m₂) = -1

m₂ = (2/3) (-1) = (-2/3)

We can then write the equation of the given line in slope-intercept form

y - y₁ = m (x - x₁)

y - 5 = (-2/3) (x - (-4))

y - 5 = (-2/3) (x + 4)

y - 5 = (-2x/3) - (8/3)

y = (-2x/3) - (8/3) + 5

y = (-2x/3) + (7/3)

Hope this Helps!!!

4 0

1 year ago

The general form of the equation of a circle is x2 + y2 + 42x + 38y − 47 = 0. The equation of this circle in standard form is .

Readme [11.4K]

Answer:

(-21,-19)

$\sqrt{849}$

Standard form

Step-by-step explanation:

We are given the equation of circle

$x^2+y^2+42x+38y-47=0$

General equation of circle:

$x^2+y^2+2gx+2fy+c=0$

Centre: (-g,-f)

Radius: $\sqrt{g^2+f^2-c}$

Compare the equation to find f, g and c from the equation

$g\rightarrow 21$

$f\rightarrow 19$

$c\rightarrow -47$

Centre: (-21,-19)

Radius (r) $=\sqrt{21^2+19^2+47}=\sqrt{849}$

Standard form of circle:

$(x+21)^2+(y+19)^2=849$

The centre of circle at the point (-21,-19) and its radius is $\sqrt{849}$ .

The general form of the equation of a circle that has the same radius as the above circle is standard form.

4 0

4 years ago

Read 2 more answers

LaMia buys 133 stickers. The stickers come in packs of 19. How many packs does LaMia buy?

Digiron [165]

The correct answer for this question is this one: "So there are 7 packs of stickers that LaMia bought"

In order to answer this question, you have to:
Step 1:
Lamia has 133 stickers. It is known that in a pack, there are are 19 stickers.

Step 2:
We have to divide 133 by 19 in order to get the number of packs of stickers.
133 / 19 = 7

So there are 7 packs of stickers that LaMia bought

8 0

3 years ago

Is y=(x/3)-12^3 a linear or nonlinear equation

creativ13 [48]

Linear equation.........

7 0

3 years ago