Find the equation of a line that is parallel to 2x + 6y - 7 = 0 and crosses the x - axis at x=3

Step-by-step explanation:

in such problems with just equations we always need to have the main (optimization) equation or condition, and then usually some constraint equations.

the constant equations allow us typically to express one variable through another, until we have only one variable for the optimization equation. then we find the zeros of the first derivative of that functions and find the needed maximum or minimum if needed via the second derivative.

now if we have inequalities, it is even easier, I think.

we find the corners of the shaded area that must contain our minimum or maximum by finding the intersections of the delimiter lines. the optimum must be one of the corners.

and then we try the coordinates of the different corners in the optimization equation and see, which one delivers the highest or lowest value. and we are done.

a.

x + y <= 240

y >= 4x

b.

500x + 450y = profit

theoretically we have 3 corners to test

(0, 0)

(0, 240)

(48, 192)

(0, 0) is clearly the minimum, profit 0.

(0, 240) gives

450×240 = $108,000

(48, 192) gives

500×48 + 450×192 = 24000 + 86400 = $110,400

that is the maximum.

so, the farmer makes the most profit under the given constraints, if he plants 48 acres corn and 192 acres sprouts.

Answer:

hope you can understand

Answer:  59.690260418206

The result is approximate. Round that value however you need to.

===========================================================

Explanation:

For a circle with radius r = 142.5, the full distance around the edge (aka perimeter aka circumference) is found by using the formula below.

C = 2*pi*r

C = 2*pi*142.5

C = 895.353906273091

That value is approximate. I used my calculator's stored value of pi to get the most accuracy possible.

That value of roughly 895 represents the distance around a full circle of that radius, but we only want a 24 degree pizza slice.

In other words, we want 24/360 = 1/15 of the full perimeter

(1/15)*895.353906273091 = 59.690260418206

Answer:

59.69 units

Step-by-step explanation:

TOTAL circumference of this circle = pi * d = pi * 2r = 895.354

  now you  want 24 degrees of the entire 360 degrees

       24/ 360   *    895.354 = 59.69 units

Step-by-step explanation:

In all cases just divide 360° by the number of sides

Thus,for a. 360°/12=30°

Answer:

1. the total triangles of 12 sides are 10 triangles but the exterior angles of a 12 sided polygon is 30° because dodecagon is equal to 150°

2. the total triangles of 18 sides are 16 triangles but the exterior angles of a 18 sided polygon is 20° because octakaidecagon is equal to 360°/18=20°

3. the total triangles of 8 sides are 6 triangles but the exterior angles of a 6 sided polygon is 120° because hexagon is equal to 720°/6=120°

4. the total triangles of 3 sides are 1 triangle but the exterior angles of a 6 sided polygon is 60° because hexagon is equal to 180°/3=60°

Answer:

248 with remainder 5

Step-by-step explanation:

thats it

t - 7

hope it helps...!!!

Replace x in the equation of f(x) and solve:

f(0) = sqrt(0) = 0

F(49/9) = sqrt(49/9) = 7/3

Put values get answer

x=0

x=49/9

Volume =  

1  πr2h

3

=  

1 ×π×42×7

3

=  117.28612573402 centimeters^3

Answer:

15.6205 (15.62)

Step-by-step explanation:

The distance between two points with coordinates (-9,-8) and (1,4) is:

15.62 units

(actual is 15.6205)

(results are in decimal form, rounded to the nearest 100th)

The table that represents the graph described is Table A - A 2-column table with 6 rows. Column 1 is labeled x - 0, 1, 2, 3, 4, 5. Column 2 is labeled y = 2x - 3 with -3, -1, 1, 3, 5, 7.

In order to solve this, look for the table that has x and y values that tally with the points on the graph.

The points on the graph are:

(0, -3), (1, -1), (2, 1), (3, 3), (4, 5), and (5, 7).

When you look at the first table, you see that the first x value corresponds with the y value of the first point on the graph. The second point on the graph of (1, -1) is also the same as the first table's x and y values.

In conclusion, option A is correct.

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Answer:

Its A

Step-by-step explanation:

Answer:

Mean= [tex]\frac{11+9+11+15+17+13+17}{7}[/tex]

        =13.28 ≈13

For median arrange in ascending or descending order. i am arranging in ascending order

9,11,11,13,15,17,17

cancel from left and right until one number is left

median=13

Answer:

The answer is almost certainly 5 years. People might, however, pursue a Master of Architecture degree, which takes two to three years to accomplish.

Step-by-step explanation:

Architecture is a five-year degree that requires a keen interest in the topic.  A five-year undergraduate architecture degree, known as a B. Arch., or a two- or three-year post-college master's program, known as an M. Arch., are the two alternatives for those who wish to get an architectural degree that will help them get licensed as an architect. You'll have to labor every day and night. Of course, your performance in class will have an impact. Some instructors may offer homework that are beyond your grasp and abilities. Everything you do must be carefully thought out, imagined, and built.

Answer:9/10ths

Step-by-step explanation:

First, convert the 4 and 1/2 tons of gravel to a fraction

You get 9/2

Multiply 9/2 by 1/5 to get your answer

You get 9/10ths of a ton of gravel

Answer:

distribute=muev around

Step-by-step explanation:

done

Step-by-step explanation:

1) 7x - 5x + 15 - x

2) 2x + 15 -x

3) x + 15

Answer:

x+15

Step-by-step explanation:

pemdas first you do parenthesis and since yo odn't know x then you move on to exponents and if thats not in there then you go to multiplication and any number thats next toa parenthesis without a sign in between them has to be multiplied so -5 times 5 equals -5x and you also have to multiply -5 by negative 3 which is +15 because negative times negative equals positive and -x is still in there so since it's only one x it's equal to -1x and -1x +-5x equals -6x and now 7x-6x equals x+15

Answer:

x = 40°

Step-by-step explanation:

In circle with center O.

The formula that would allow the architect to calculate the volume of his second attic space design is  V = 1/3s²b. Option D is correct.

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

The formula for the volume of an oblique pyramid is V = 1/3 * base area * height. In this case, the base of the oblique pyramid is the shape of the cross-section, which is a square. So, the formula becomes V = 1/3 * s^2 * height. The given information states that the height is "a", which is the same for both pyramid models.

Therefore, the formula for calculating the volume of the second attic space design becomes V = 1/3 * s² * a.

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Answer:

y=log(pi divide by 2)exponent ×

it's approximately 2.5...i hope this helps

The value of the x-coordinate of point D is,

⇒ 2.5

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

We have to given that;

Graph of a function is shown.

And, A point D is shown in graph.

Now, By graph we get;

Coordinate of D is,

D = (2.5, - 1.5)

Hence, We get;

x - coordinate of D = 2.5

y - coordinate of D = - 1.5

Thus, The value of the x-coordinate of point D is,

⇒ 2.5

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Answer:

a

Step-by-step explanation:

none of the x or y values repeat

Using it's concept, it is found that the range of fat grams for the five sandwiches is of 24 grams.

It is given by the difference of the highest value by the lowest value in the data-set.

In this problem, the sandwich with the least fat has 9 grams and the one with the most has 33 grams, hence the range is given by:

R = 33 - 9 = 24 grams.

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[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

Find the mean, median, mode and range for the following data set. 1, 3, 5, 9, 8, 5, 8, 6

[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and How to solve:-}}}[/tex]

In order to find the mean of a data set, we add all the numbers in the data set and add them, then we divide by how many there are:-

[tex]\bigstar[/tex] On simplification,

[tex]\bigstar[/tex] Now, divide by 8, because there are 8 numbers in the data set:-

[tex]\bold{\dfrac{45}{8}\:;written\:as\:decimal\Longrightarrow5,625}}}[/tex]

We've found the mean, but we also need to find the median, mode, and range!

The median is the number in the middle, but we should first arrange the data from least to greatest:-

1, 3, 5, 5, 6, 8, 8, 9

Now pick the number in the middle, which is:-

5,6. There are 2 numbers in the middle!

So what we do is we find the mean of the two numbers in the middle:-

5+6=11

11/2     [tex]\Longleftarrow[/tex] median

Now, we don't need to find the mean anymore - the mode and range don't require the mean.

The median requires the mean only when there's an even amount of numbers in the data set.

The mode of a dataset is the number we see the most.

Here we see the number 1 once, the number 3 once, the number 5 appears twice, 6 appears one time only, 8 appears twice and, last but not least, 9 appears once.

So this data set has two modes - 5 and 8.

In order to find the range, we take the smallest number (1) and subtract it from the largest number (9), which results in

8 (range)

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

Answer:

mean=

5.625

median=5.5

mode=5and8

Step-by-step explanation:

mean=1+3+5+5+6+8+8+9/8

45/8

5.625

median=1,3,5,5,6,8,8,9

5+6/2

11/2

5.5

mode=

5and8

Answer:

[tex]9x^{2} +81[/tex]

Step-by-step explanation:

I Guess.

Answer:

3(x^2 + 27)

My answer was totally off! I just re evaluated the equation and I got this:

LMK if it's wrong :)

Answer:

100.53

Step-by-step explanation:

V=πr2h

3=π·42·6

3≈100.53096

Hope this helps! please mark me brainliest :)

The potential at the center of the sphere is the same as the potential at the surface. Then the correct option is B.

The amount of labor required to move a unit signal from one part to another is defined as the potential difference between any two points.

If the conducting sphere contains a positive charge distributed uniformly over its surface

The charge inside the sphere is zero, so the electric field inside the sphere is zero

Hence potential is same ( E = - dV/dr)

The potential at the center of the sphere is the same as the potential at the surface.

More about the potential difference link is given below.

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Answer:

v = 2419200in³

Step-by-step explanation:

v=l*b*h

=240*84*120

=2419200in³

Answer:

[tex]V_{shipping\: container}=2,419,200\:in^3[/tex]

A. 4032 boxes

SA = 460 sq in

Step-by-step explanation:

For shipping container:

l = 240 in, w 84 in, h = 120 in

[tex]V_{shipping\: container}=lwh[/tex]

[tex]\implies V_{shipping\: container}=240\times 84\times 120[/tex]

[tex]\implies V_{shipping\: container}=2,419,200\:in^3[/tex]

For box:

l = 10 in, w = 5 in, h = 12 in

[tex]V_{box}=lwh[/tex]

[tex]\implies V_{box}=10\times 5\times 12[/tex]

[tex]\implies V_{box}=600\:in^3[/tex]

[tex]\frac{V_{shipping\: container}}{V_{box}}=\frac{2,419,200}{600}[/tex]

[tex]\frac{V_{shipping\: container}}{V_{box}}=4032[/tex]

Surface area of box

= 2(lw + lh +wh)

= 2(10*5+ 10*12+ 5*12)

=2(50+120+60)

=2(230)

= 460 sq in

Using proportions, it is found that one mechanic could assemble 5 bicycles in 8 hours, and it would take 40 hours to assemble 25 bicycles.

The equation is: b = 0.625t.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, two mechanics can assemble 10 bicycles in 8 hours. How many bicycles could one mechanic assemble in 8 hours? Hence the rule of three is given by:

2 mechanics - 10 bicycles.

1 mechanic - x bicycle.

Applying cross multiplication:

2x = 10 -> x = 5 bicycles in 8 hours.

Hence the equation for the number of bicycles in t hours of a single mechanic is given by:

b = 5/8t = 0.625t.

For 25 bicycles, we have that:

25 = 0.625t.

t = 25/0.625.

t = 40 hours.

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is it 10000

if this is wrong sorry

Step-by-step explanation:

9x + 3y + x +4-3y

Solution ,

Organize the like terms

[tex] = 9x + x + 3y - 3y + 4[/tex]

[tex] = 10x + 4[/tex]

Answer:

69 children, 57 adults

Step-by-step explanation:

Let a = number of adults and c = number of children.

a + c = 126---------------->4a + 4c = 504

4a + 2.25c = 383.25-->4a + 2.25c = 383.25

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

1.75c = 120.25

c = 69, a = 57