Bens barbershop has a rectangular logo for their business that measures 7 1/5 feet long with an area that is exactly the maximum area allowed by the building owner. create an equation that could be used to determine m, the unknown side length of the logo.

The expressions that have a sum of 6 are Options C and D

In this case, we use the following rules

(-) + (-) = -

(+) + (+) = +

(+) + (-) = -

(-) + (+) = -

From the first case

8 + 2 = 10

(-4) + (-2) = -4 + -2 = -6

(-3) + 9 = -3 + 9 = 6

7 + (-1) = 7 - 1 = 6

Thus, the expressions that have a sum of 6 are Options C and D

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The maximum possible length of the rectangular front of the building is 23 feet

The complete question is attached

Let the length of the rectangular front be x and the height be y.

So, we have:

x = 2y

The building has 4 congruent sides.

So, the area of the 4 sides is

A = 4 * (x * y)

This gives

A = 4 * (x * 2x)

Evaluate

A = 8x²

For the triangular roof, we have:

Slant height, l = y

Base, b = x

So, the area of the 4 triangular faces is

A = 0.5 * 4 * xy

This gives

A = 2xy

Recall that:

x = 2y

Make y the subject

y = 1/2x

So, we have:

A = 2x * 1/2x

A = x²

The cost of designing the buildings is

C = 25 * 8x² + 50 * x²

C = 200x² + 50x²

C = 250x²

This gives

250x² = 500000

Divide both sides by 250

x² = 2000

Square both sides

x = 45

Recall that:

y = 1/2x

This gives

y = 1/2 * 45

y = 23

Hence, the maximum possible length of the rectangular front of the building is 23 feet

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Answer:

A

Step-by-step explanation:

Geometric sequence is when, during each successive number, a constant is being multiplied. In answer choice A, each number is getting multiplied by 3, so it is a geometric sequence.

Making "a" the subject of the formula would give us: a = 8 - b - c/2

Given the formula, 8 = a+b+c/2, to make a the subject of the formula, we would isolate a in the equation.

8 = a+b+c/2

8 = (2a + 2b + c)/2

2(8) = 2a + 2b + c

16 = 2a + 2b + c

16 - 2b - c = 2a

Divide both sides by 2

16/2 - 2b/2 - c/2 = 2a/2

8 - b - c/2 = a

a = 8 - b - c/2

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Answer:

5/2

Step-by-step explanation:

Answer:

1 3/4 or 1.75

Step-by-step explanation:

Formula: y1-y2/x1-x2

Plug in the given coordinates: y1 = -3, y2 = 4, x1 = 2, x2 = 6

-3-4/2-6 = -7/-4 = 7/4 = 1 3/4 or 1.75

Answer: all points [tex](x,y)[/tex] that satisfy [tex]y=\frac{3}{2}x+\frac{1}{2}[/tex]

Step-by-step explanation:

The slope of the line is

[tex]\frac{-1-8}{-1-5}=\frac{-9}{-6}=\frac{3}{2}[/tex]

So, substituting into point-slope form, the equation is

[tex]y+1=\frac{3}{2}(x+1)\\\\y+1=\frac{3}{2}x+\frac{3}{2}\\\\y=\frac{3}{2}x+\frac{1}{2}[/tex]

Therefore, all points [tex](x,y)[/tex] that satisfy [tex]y=\frac{3}{2}x+\frac{1}{2}[/tex] will lie on the same line.

The location of the points on Cartesian plane are listed below:

Figure 1: A(x, y) = (0, 4), B(x, y) = (5, 0)

Figure 2: A(x, y) = (8.5, 4), B(x, y) = (2.5, 1.5)

A point on a Cartesian plane can be represented by rectangular system of coordinates with the form:

(x, y)

Where:

Now we proceed to represent each point:

Figure 1: A(x, y) = (0, 4), B(x, y) = (5, 0)

Figure 2: A(x, y) = (8.5, 4), B(x, y) = (2.5, 1.5)

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Answer:

Hi, I'm not for sure but I think for sure for the answer is, I haven't done this math in a while btw I like math lol, but I will try my best for this answer:

The quotient:   x + 4

The remainder: - 2

Step-by-step explanation:

I hope this helps you and have a lovely day of learning!

A) The total surface area of the given cylindrical container is 571.76 cm² and B) The volume of the given cylindrical container is 923.62 cm³.

Consider a cylinder with height 'h', and radius 'r'.

The total surface area of the cylinder(TSA) = 2πr (r + h) square units

and

The volume of the cylinder V = πr²h cubic units.

It is given that,

A cylindrical container closed on both ends has a radius r = 7 cm and a height h = 6 cm.

So,

TSA = 2πr (r + h)

       = 2× π × 7 × (7 + 6)

       = 14 × π × 13

      = 571.76 cm²

and

Volume = πr²h

             = π × 7² × 6

             = π × 49 × 6

             = 923.62 cm³

Therefore, the total surface area and volume of the cylindrical container are 571.76 cm² and 923.62 cm³ respectively.

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Answer:

domain means -4,0,-2 and range is -2,2,1

Answer:

The roof does form a right triangle.

Step-by-step explanation:

If it is a right triangle then it will obey the Pythagoras Theorem.

Now  (√186)^2 = (√93)^2 + (√93)^2

              186 = 93 + 93 = 186

So it obeys the theorem and is therefore a right triangle.

Answer:

Khan Academy.

Step-by-step explanation:

You can go on khan academy and search up "percentages and numbers." The videos should immediately pop up. there are also lessons if you don't want to risk getting your problem wrong. If you are still confused and do not understand please just comment and I will respond.

Answer:

y = 2x + 4

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 0) and (x₂, y₂ ) = ( 0, 4) ← 2 points on the line

m = [tex]\frac{4-0}{0-(-2)}[/tex] = [tex]\frac{4}{0+2}[/tex] = [tex]\frac{4}{2}[/tex] = 2

the line crosses the y- axis at (0, 4 ) ⇒ c = 4

y = 2x + 4 ← equation of line

Answer:

14.5 hours to the nearest tenth.

Step-by-step explanation:

4.9% = 0.049.

If the original number is 50 it will double to 100 so

100 = 50(1.049)^t

1.049^t = 2

t * log 1.049 = log 2

t = log 2 / log 1.049

 = 14.49 hours,

A typical decision support system (DSS) includes many components including a(n) dialogue manager which allows decision makers to easily access and manipulate the DSS and to use common business terms and phrases.

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Answer:

(っ◔◡◔)っ ♥ the answer is C ♥

Step-by-step explanation:

Given the parameters in the diagrams, we have;

4. ∆ABC ≈ ∆DEF by ASA

5. UW ≈ XZ by CPCTC

6. QR ≈ TR by CPCTC

4. The given parameters are;

<B = <E = 90°

AB = DE Definition of congruency

<A = <D Definition of congruency

Therefore;

5. Given;

XY is perpendicular to WZ

UV is perpendicular to WZ

VW = YZ

<Z = <W

Therefore;

∆UVW ≈ ∆XYZ by Angle-Side-Angle, ASA, congruency postulate

Which gives;

6. Given;

PQ is perpendicular to QT

ST is perpendicular to QT

PQ ≈ ST

From the diagram, we have;

<SRR ≈ <PRQ by vertical angles theorem;

Therefore;

∆QRP ≈ ∆TRS by Side-Angle-Angle, SAA, congruency postulate

Which gives;

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The computed value must closely match the real value for a model to be considered valid. If the percentage of pleased or very satisfied students remains close to 75% after Mateo surveys additional students, Mateo's model is still viable. The model is faulty if the opposite is true.

In general, a valid model is one whose estimated value is close to the real value. This kind of model is considered to be accurate. It must be somewhat near to the real value if it doesn't resemble the real value.

If the findings of the survey are sufficiently similar to one another, then the model may be considered valid.

P1 equals 75%, which is the real assessment of the number of happy pupils

P2 is 70 percent; this represents the second assessment of happy pupils

In conclusion,  The estimated value of a model has to be somewhat close to the real value for the model to be considered valid. If the number of students who are either pleased or extremely satisfied remains close to 75 percent following Mateo's survey of more students, then Mateo's model is likely accurate. In any other scenario, the model cannot be trusted.

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The volume of the space filled with tissue paper in the packaging box is 198.264 cubic centimeters

Constant = k

= 2.1³

= 9.261

Volume of large : volume of small = k

Vl / Vs = k

Vl = Vs × k

= 24 × 9.261

= 222.264 cubic inches

Therefore,

Volume of tissue paper = volume of large - volume of small

= 222.264 cubic inches - 24 cubic inches

= 198.261 cubic inches

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Angles T and V of the parallelogram are equal to 91°.

Calculating the Value of x

In the parallelogram TUVS, adjacent angles U and V are given as,

U = 4x+9

V = 6x-29

Since U and V are adjacent angles, and as per the properties of a parallelogram, sum of adjacent angles is equal to 180°.

4x+9 + 6x-29 = 180

10x - 20 =180

10x = 200

x = 20

Calculating the Angles of the Parallelogram

∠U = 4x + 9

∠U = 4(20) + 9

∠U = 80 + 9

∠U = 89°

∠V = 6x - 29

∠V = 6(20) - 29

∠V = 120 - 29

∠V = 91°

According to the properties of a parallelogram, opposite angles are of equal measure.

∴ ∠T = ∠V and ∠S = ∠U

⇒ ∠T = 91° and ∠S = 89°

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Answer:

angles t and v

Step-by-step explanation:

edge

Answer:

A=3Bz/2

B=2A/3z

Step-by-step explanation:

if you need more explanation you can ask me :)

a. circle 2 = 60°

circle 3 = 120°

circle 4 = 180°

circle 5 = 240°

circle 6 = 300°

b. circle 8 = 15°

circle 9 = 75°

circle 10 = 155°

circle 11 =  215°

circle 12 =  265°

From the information given, we have that;

There are six major circles

Six minor circles

a. There are 6 circles at a point

Note that angles at a point sum up to 360 degrees

Now, let's divide their sum by the six parts

= [tex]\frac{360}{6}[/tex]

= [tex]60[/tex] degrees

Then, circle 1

= 0 × 60

= 0

Circle 2

=  1 × 60

=  60°

Circle 3

= 2 × 60

= 120°

Circle 4

= 3 × 60

= 180°

Circle 5

= 4 × 60

= 240°

Circle 6

= 5 × 60

= 300°

b. We have that each of these circles ( circle 7 - 12) radian measure is

= main circle - [tex]\frac{\pi }{12}[/tex]

The relative position or direction of circle 7 - 12 to their corresponding main circles ( 1 - 6) are all the same, we then have;
For circles 8

= 60° - 45°

= 15°

Circle 9

= 120° - 45°

= 75°

Circle 10

= 180° - 45°

= 155°

Circle 11

= 240° - 45°

= 215°

Circle 12

= 300° - 45°

= 265°

They share the relationship of radian of circle 7 - 12 corresponding to circles 6 - 12 minus π/12

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Answer:

m = -4

Step-by-step explanation:

We are given that a line intersects the points (-2, 9) and (3, -11).

We want to write the slope of this line.

The slope (m) can be found using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points.

Even though we have everything we need to calculate the slope, let's label the values of the points to avoid any confusion & mistakes.

[tex]x_1=-2\\y_1=9\\x_2=3\\y_2=-11[/tex]

Now substitute these values into the formula (remember that the formula has subtraction).

m= [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m=[tex]\frac{-11-9}{3--2}[/tex]

Simplify.

m=[tex]\frac{-11-9}{3+2}[/tex]

Subtract the values on top.

m=[tex]\frac{-20}{3+2}[/tex]

Now add the values on the bottom together.

m=[tex]\frac{-20}{5}[/tex]

Now divide -20 by 5.

m = -4

The equation which correctly models the situation in discuss is; P = 2.5(1.012)^y.

If follows from the task content that the situation given is that The number of people in the world was 2.5 billion in 1950.

Afterwards, The population has grown by 1.2% each year since then. Hence it follows that the function is an exponential one whose factor is; (100+1.2)%= 1.012.

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Answer:

D.  10

Step-by-step explanation:

To find the distance between two points, use the distance formula:

Distance between two points

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]\textsf{where }(x_1,y_1) \textsf{ and }(x_2,y_2)\:\textsf{are the two points}[/tex]

Define the two points:

[tex]\textsf{Let }(x_1,y_1)=(4,-3)[/tex]

[tex]\textsf{Let }(x_2,y_2)=(-4,3)[/tex]

Substitute the two defined points into the distance formula and solve for d:

[tex]\implies d=\sqrt{(-4-4)^2+(3-(-3))^2}[/tex]

[tex]\implies d=\sqrt{(-4-4)^2+(3+3)^2}[/tex]

[tex]\implies d=\sqrt{(-8)^2+6^2}[/tex]

[tex]\implies d=\sqrt{64+36}[/tex]

[tex]\implies d=\sqrt{100}[/tex]

[tex]\implies d=\sqrt{10^2}[/tex]

[tex]\implies d=10[/tex]

Therefore, the distance between the two given points is 10 units.

Formula given by

[tex]\boxed{\sf Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}[/tex]

[tex]\\ \tt{:}\longrightarrow D=\sqrt{(-4-4)^2+(3+3)^2}[/tex]

[tex]\\ \tt{:}\longrightarrow D=\sqrt{8^2+6^2}[/tex]

[tex]\\ \tt{:}\longrightarrow D=\sqrt{10^2}[/tex]

[tex]\\ \tt{:}\longrightarrow D=10units[/tex]

Option D

Answer:

Step-by-step explanation:

To check this, we need to know whether

2

1

​

=

3

2

​

We have,  

2

1

​

=

2×3

1×3

​

=

6

3

​

and  

3

2

​

=

3×2

2×2

​

=

6

4

​

We find that

6

3

​

<

6

4

​

, which means that  

2

1

​

<

3

2

​

.

Therefore, The ratio 1:2 is not equivalent to the ratio 2:3

Answer:

No, they aren't equal.

Step-by-step explanation:

The best that describes the type of association shown in the scatter plot is positive linear association.

Given the scatter plot below represents the amount of dog food a brand recommends based on the weight of the dog.

Amount of Food per day cups:

20

40

60

No

We are required to find the type of association shown in the given scatter plot.

It is a positive linear association. The slope is positive so the linear association is also positive and linear mean generally in a line not on a curve like a nonlinear association.

Hence the given graph is of positive linear association.

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Answer:

D. {-2, -3, 12, 8, 4, −5}

Step-by-step explanation:

The domain is the set of x coordinates, so the answer is {-2, -3, 12, 8, 4, −5}.

❄ Hi there,

[tex]\sf{\dfrac{1}{6}\approx0.167}[/tex], rounded to 3 DP (decimal places)

[tex]\left\vert\textsf{Decimal Places = Number of digits after the decimal point}\vert[/tex]

Why round? Because the entire number goes on for ever and ever.

So, we need to round. 1/6 rounded to 3 decimal places is 0.167. We have 3 numbers after the decimal point.

❄

Answer:

[tex]3y^{2} -3y-5[/tex]