A manufacturer is designing a square-based shipment box to transport its product from the manufacturing plant directly to customers. The volume of the box must be 100 cubic inches. Explain how the manufacturer can choose dimensions such that the surface area of the box is minimized (minimizing the quantity of materials needed to construct the box). Provide a mathematical justification, and be sure to include the surface-area-minimizing dimensions. Round all values to the nearest tenth.

Will mark brainliest please help!!

Answer:

80

Step-by-step explanation:

5b^2

=5(4^2)

=5(16)

=80

The system of equations can be used to determine how much of product x and product y the store owner bought is x + y = 4,000

0.10x + 0.04y = 352

The equation:

x + y = 4,000

0.10x + 0.04y = 352

Therefore, the system of equations can be used to determine how much of product x and product y the store owner bought is x + y = 4,000

0.10x + 0.04y = 352

Learn more about simultaneous equation:

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Answer:

C

Step-by-step explanation:

Answer:

81.5%

Step-by-step explanation:

Answer:

The circumference of the circle is 25.12 meters

Step-by-step explanation:

By definition, the circumference of a circle is the perimeter or the length around the circle.

To find the circumference of a circle, all we need to do is multiply the radius by pi and 2. Giving us the equation :

C = 2 * pi * r

We are also given that the diameter of the circle is 8 meters. With this, we can cut it in half to get the radius. 8 / 2 = 4

Now, we plug in our values:

2 * 3.14 * 4

When we evaluate this, we get the answer to be : 25.12

The circumference of the circle is 25.12 meters

Extra references for the definitions of radius and circumference.

The radius is the length from the center of the circle, to the outside (perimeter aka circumference point) of it. The diameter is the length across one end of the circle, to the other end, crossing through the center point.

Answer: 9

Step-by-step explanation:

78 subtract 51 is 27. One third of 27 is 9.

Answer:

oh oh....I know...it's 4....I'm I right

Answer:

4

Step-by-step explanation:

Thanks btw

Let's pretend the [] are boxes.

[] this is one box.

[] [] these are 2 boxes, which is 2

if you put 2 plus 2,

[] [] + [] []

count them, you get 4

Hooray!

If you dunno how to count, you just see each of the boxes, then count up

1, 2, 3, 4, 5, 6, 7, 8, 9, 10 and so on. when you stop seeing the boxes, stop counting - the number you're on is the answer to your + question!

Answer:

Step-by-step explanation:

A hole exists on the graph of a rational function at any input value that causes both the numerator and denominator of the function to be equal to zero.

Answer & step-by-step explanation:

Corresponding Angles:   m∠1 = m∠5;  m∠2 = m∠6;

                                          m∠3 = m∠7;  m∠4 = m∠8

Alternate Interior Angles: m∠3 = m∠6;  m∠4 = m∠5

Alternate Exterior Angles: m∠1 = m∠8;  m∠2 = m∠7

As you can see on the picture below:

Answer:

Angle 1 = 63.3

Angle 2 = 37.3

Angle 3 = 63.3

Angle 4 = 142.7

Step-by-step explanation:

When a line intersects two parallel lines the interior angles are equal. So angle 2 = 37.3

Angle 3 = 180 - (79.4 + 37.3) = 63.3 since the sum of the angles on a straight line must be 180

Ange 1 = Angle 3 = 63.3

Angle 4 = 180-37.3 = 142.7

9%

I need 20 letters so I'm just typing this but it is 9%

Answer:

x= -2 y= 36 (-2. 36)

x = -1 y = 6 (-1, 6)

x = 1 y = [tex]\frac{1}{6}[/tex] (1, [tex]\frac{1}{6}[/tex])

Step-by-step explanation:

Our function is [tex]y = (\frac{1}{6})^x[/tex]

all we need to do is fill in our x (given in the table) to solve for y

[tex]y = (\frac{1}{6})^{-2}[/tex]

[tex]y = 36[/tex]

[tex]y = (\frac{1}{6})^{-1}[/tex]

[tex]y = 6[/tex]

[tex]y = (\frac{1}{6})^1 = \frac{1}{6}[/tex]

Answer:

3 hrs 30 min

Step-by-step explanation:

       [tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]

       Find the slope of the line that goes through (2, 8) and (4, 6)

     [tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]

The slope formula will help us find the slope, Here it is:-

[tex]\Large\text{$\displaystyle\frac{y_2-y_1}{x_2-x_1}$}[/tex]

Now, replace y2 with 6, y1 with 8, x2 with 4, and x1 with 2:-

[tex]\Large\text{$\displaystyle\frac{6-8}{4-2}$}[/tex]

Simplifying,

[tex]\Large\text{$\displaystyle\frac{-2}{2}$}[/tex]

Simplifying further,

[tex]\hookrightarrow\underline{\boxed{\sf{Slope=-1}}}[/tex]

#TogetherWeGoFar

[tex]\rule{300}{1}[/tex]

Answer:

[tex]\sf \boxed{-1} \ \ is \ the \ slope[/tex]

Explanation:

[tex]\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points[/tex]

Here given points: A(2,8) and B(4,6)

Find slope (m):

[tex]\sf \rightarrow \dfrac{6-8}{4-2}[/tex]

simplify

[tex]\sf \rightarrow -1[/tex]

To find equation:

[tex]\sf y-y_1 = m(x-x_1)[/tex]

[tex]\rightarrow y-8 = -1(x-2)[/tex]

[tex]\rightarrow y = -x+2+8[/tex]

[tex]\rightarrow y = -x+10[/tex]

Answer:

50%

Step-by-step explanation:

[tex] \frac{17}{34} = \frac{1}{2} = 50\%[/tex]

Answer: 25 - (6 + n)

The number 25 is decreased by and sum of number.

The numbers are 6 and n, Their Sum = (6 + n)

When 25 is decreased by this sum of numbers

Answer:

25 - (6+n)

Step-by-step explanation:

Important terms:

Finding the answer

We want to find a word phrase that matches the expression, 25 decreased by the sum of 6 and a number.

Using the terms we just defined we know that the sum of 6 and a number would be 6 + n. ( as again sum = addition or total amount of )

25 is being decreased by the sum of 6 and n so in other words the sum of 6 + n is being subtracted by 25 which would result us in getting 25 - (6+n)

Why the "6+n" must be in parenthesis

The 6 + n must be in the parenthesis because the individual sum of those two numbers is being subtracted from 25.

Answer:

0.625

Step-by-step explanation:

5/8 because there are 5 blue marbles and there are 3 yellow marbles. If you add them it equals 8.

The probability is 5/8.

If you do 5 divided by 8 it gives you 0.625.

Honestly i don't know what you mean by "rounded to three decimal places."

Sorry if it's not really healpful.

Using the z-distribution, it is found that we reject the null hypothesis, which means that her claim is not validated.

At the null hypotheses, it is tested if the mean is of 110, that is:

[tex]H_0: \mu = 110[/tex].

At the alternative hypotheses, it is tested if the mean is less than 110, that is:

[tex]H_1: \mu < 110[/tex].

The test statistic is given by:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

The parameters are:

In this problem, we have that the parameters are given as follows:

[tex]\overline{x} = 105, \mu = 110, \sigma = 15, n = 50[/tex]

Hence the test statistic is given by:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{105 - 110}{\frac{15}{\sqrt{50}}}[/tex]

z = -2.36.

Using a z-distribution calculator, z = -2.36 has a p-value that is less than the standard significance level of 0.05, hence we reject the null hypothesis, which means that her claim is not validated.

More can be learned about the z-distribution at https://brainly.com/question/16313918

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Answer:

a) x=6

b) x= 498/463

hope this helps!!

Answer:

∠ ABC = 67°

Step-by-step explanation:

the angle between a tangent and a chord is equal to the angle in the opposite segment, that is

∠ ABC = ∠EAC = 67°

Answer:

[tex] \frac{5}{36} [/tex]

Step-by-step explanation:

[tex] \frac{15}{18} \div 6 \\ = \frac{15}{18} \times \frac{1}{6} = \frac{5}{18\times 2} = \frac{5}{36} [/tex]

Answer:

values

x=17

AT = 49 units

OG = 21 units

Answer:

It would take 8 hours to drive 360 miles.

Step-by-step explanation:

360/45=8
D=R*T

Answer:

$82.50

Step-by-step explanation:

25% of $110.00 is $27.5, which means 110.0 - 27.5 is equal to = 82.50.

Answer:82.50

Step-by-step explanation:

the standard equation of the circle having the given center and radius is [tex](x-9)^2+(y-2)^2=\frac{9}{25}[/tex].

Answer:

No figure?

We need a figure to solve for this, please post the figure and I am ready to help!

Answer:

the answer for all of this question should be

C=( -10, -2)

D=(0, -2)

E=(0,8)

F=(-10,8)

so remember the quadruants and remember if the x is negative or positive and if the y is either negative or positive so hopefully those are the correct one and if not tell me whats wrong so i can edit it to make it better.

Step-by-step explanation: