Write the equation of the given line in slope intercept form

the diameter to allow an elongation of 0. 38 mm therefore required diameter is 7.65 mm

Given the data in the question;

F = 11100 N

l₀ = 310 mm = 0.31 m

E = 207 GPa = 207 × 10⁹ N/m²

Δl = 0.38 mm = 0.0005 m

So, lets assume the deformation is elastic;

d₀ = √(  [4l₀F] / [πEΔl] )

we substitute

d₀ = √(  [4 × 0.38 × 11100] / [π × (207 × 10⁹) × 0.0005]] )

d₀ = √( 10123.2 / 172787595.947 )

d₀ = √( 5.85875 × 10⁻⁵ )

d₀ = 0.007654 m

d₀ = ( 0.007654 × 1000 )mm

d₀ = 7.65 mm

Therefore, required diameter is 7.65 mm

learn more about of diameter here

https://brainly.com/question/23848936

#SPJ4

Answer:

The length will be 13 feet.

Step-by-step explanation:

Let the width be represented by w.

Based on the information given, the length will be:

= (2 × w) - 3

= 2w - 3

Therefore, the perimeter will be:

2(w) + 2(2w - 3) = 42

2w + 4w - 6 = 42

6w = 42 + 6

6w = 48

w = 48/6

w = 8

Therefore, the length will be:

L = 2w - 3

L = 2(8) - 3

L = 16 - 3

L = 13 feet

The length is 13 feet.

Answer:

The length will be 13 feet.

Step-by-step explanation:

Let the width be represented by w.

Based on the information given, the length will be:

= (2 × w) - 3

= 2w - 3

Therefore, the perimeter will be:

2(w) + 2(2w - 3) = 42

2w + 4w - 6 = 42

6w = 42 + 6

6w = 48

w = 48/6

w = 8

Therefore, the length will be:

L = 2w - 3

L = 2(8) - 3

L = 16 - 3

L = 13 feet

The length is 13 feet.

Answer: It is A

Step-by-step explanation:

Answer:

B: (5,3)

Step-by-step explanation:

We just fill in the coordinates

A: (7,9)

9=7-2

9=5

not true

B: (5,3)

3=5-2

3=3

true

C: (7,14)

14=7-2

14=5

not true

D: (5,7)

7=5-2

7=3

not true

so b is the only correct answer

hopes this helps please mark brainliest

The measurement of angle DBC is 100°. It can be obtained by the properties of bisector of an angle and algebriac multiplication.

What is angle bisector?

An angle bisector is the ray or line segment that divides the angle into two equal parts.

Since the segment BD bisects angle ABC hence,

∠ABC = ∠ABD+∠DBC               ..... (1)

Also, since segment BD bisects angle ABC hence,

∠ABD = ∠DBC

Use this fact in equation (1)

∠ABC = ∠ABD+∠ABD

∠ABC =2 ∠ABD

Now, substitute values and use algebriac multiplication.

7x = 2(3x+25)

7x = 6x+50

7x - 6x= 50

x=50

Now, substitute the value of x in the expression of ∠ABD.

∠ABD = 3x+25

∠ABD = 3(50)+25

∠ABD = 100

Now, since ∠ABD = ∠DBC hence, ∠DBC = 100.

Hence, the measurement of angle DBC is 100°.

Learn more about angle bisector from the following link:

https://brainly.com/question/24334771

#SPJ4

The three points which correctly represents a solution to the given inequality are;

It follows from the task content that the points which are solutions to the given inequality bare to be determined.

Since the given inequality as in the task content is; y > 4 x - 3.

By evaluating the inequality at one x-value of x = 1.

We have ;

y > 4 ( 1 ) - 3

y > 4 - 3

y > 1.

Therefore, the possible values of y which are greater than 1 are; 2, 3, and 4.

On this note, it is correct to conclude that the points which are solutions to the given inequality are; ( 1, 2 ), ( 1, 3 ) and ( 1, 4 ).

Read more on solutions of inequalities;

https://brainly.com/question/11613554

#SPJ1

Answer:

C. $4.00

Step-by-step explanation:

Profit, which is given by [tex]P(x)[/tex], is maximized when the price per drink is $4.00, as shown on the graph.

Answer:

103

Step-by-step explanation:

angle 1 and angle 5 are the same as each other.

We can write the given statement as inequality as -

-(x/9) < 12

Linear inequalities are defined as expressions in which two linear expressions are compared using the inequality symbols.

Reversal property : If (a > b) then (b < a) and  if (a < b) then (b > a).

Law of Trichotomy : The "Law of Trichotomy" says that - only one of the following is true : (a < b) or (a = b) or (a > b).

The general equation of a straight line is y = mx + c

Other possible equations of lines are -

We have the following statement -

"the quotient of a number and three minus twelve is less than 12".

We can write the inequality as -

-(x/9) < 12

Therefore, we can write the given statement as inequality as -

-(x/9) < 12

To solve more questions on straight line inequalities, visit the link below-

brainly.com/question/20400984

#SPJ1

On solving the given problem, The value of the median of the distribution is closest to 5.

In order to visualize data, a histogram is used. The width and area of each rectangle in the histogram are proportional to the class interval and data frequency, respectively.

When a dataset is sorted in either ascending or descending order, the median is the value that appears in the middle of the dataset.

Ascending numbers are listed in the following order:

2, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 8, 9

Median is -  5

To know more about median visit:

https://brainly.com/question/28060453

#SPJ4

Clearly,  it is a reduction with scale factor 2

The rightmost line of the black figure has  8 units and pink has 4 units similarly the first horizontal link of black has 4 while pink has 2 units. By labeling the sides of both figures and finding the ratio of the sides of the black figure to the pink figure is 2 so it is deduced that the scale factor is 2 and its reduction as black figure is an enlargement of pink.

Learn more about dilation here:https://brainly.com/question/16596053

#SPJ1

The pink figure is a dilation image of the black figure. The labeled point is the center of dilation. The dilation is a reduction with scale factor 2.

In mathematics, dilation means Reducing the object's size by dilation is a change. The items are enlarged or shrunk through dilation. An image that retains the original shape is created by this alteration. The size of the form does differ, though.

The rightmost line of the black figure has  8 units and pink has 4 units similarly the first horizontal link of black has 4 while pink has 2 units. By labeling the sides of both figures and finding the ratio of the sides of the black figure to the pink figure is 2 so it is deduced that the scale factor is 2 and its reduction as black figure is an enlargement of pink.

Learn more about dilation here: https://brainly.com/question/3457976

#SPJ1

The number of miles Melissa travelled that night is approximately 667 miles.

Melissa is planning to rent out a limo for her friends and herself for prom.

Limousine rates charge a 450 flat rate plus an additional 30 cents for every mile travelled.

Melissa aid the limousines driver $200 for prom. The number of miles she travel can be calculated as follows;

using equation,

y = 450 + 0.3x

where

Therefore,

200 + 450 = 450 + 0.3x

650 = 450 + 0.3x

650 - 450 = 0.3x

200 = 0.3x

x = 200 / 0.3

x = 666.666666667

x = 667 miles

learn more on equation here: https://brainly.com/question/29031411

#SPJ1

Answer: Z=80

Step-by-step explanation:

The length of the segment connecting (-4, 3) and (-5,2) is 1.4.

The length of a line segment can be measured by measuring the distance between its two endpoints.

Therefore, the length of the segment connecting (-4, 3) and (-5,2) can be found as follows:

length of the segment = √(2 - 3)² + (-5 + 4)²

length of the segment = √(-1)² + (-1)²

length of the segment = √1 + 1

length of the segment = √2

length of the segment = 1.41421356237

length of the segment = 1.4

learn more on line segment here:https://brainly.com/question/24614801

#SPJ1

The reduced form of the fraction would be 2.8/2.

What is a fraction?

A fraction is a portion of a whole or, more broadly, any number of equal parts. In everyday English, a fraction describes the number of parts of a specific size, such as one-half, eight-fifths, or three-quarters.

Given that a/b is a fraction and when it is divided by 100 it will result in 0.014.

So we can write,

            [tex]\frac{\frac{a}{b} }{100}=0.014\\\\ \frac{a}{b}=0.014*100\\\\\frac{a}{b}=1.4\\[/tex]

Now 1.4 can be written as

       a/b = 2.8/2

Hence, the reduced form of the fraction would be 2.8/2.

To learn more about reduced fractions, visit:

https://brainly.com/question/78672
#SPJ4

Gianna washes 15 cars in 5 hours as her rate of washing cars is 3 cars per hour.

What is unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

According to the given question:

Gianna can wash 6 cars in 2 hours

Therefore, in 1 hour she can wash 6/2 cars which is 3 cars.

Gianna's rate of washing cars is 3 cars per hour

Hence by unitary method, Gianna at this rate can washes 5 x 3 cars that is 15 cars.

Gianna washes 15 cars in 5 hours as her rate of washing cars is 3 cars per hour.

To know more about unitary method visit

https://brainly.com/question/23423168

#SPJ1

Answer: 6 and 3/8

Step-by-step explanation:

2 3/4 + 3 5/8=?

Find LCM of the 2 numbers

LCM is 8

Multiply 2 to 3/4 in 2 3/4

2 6/8 + 3 5/8

Add whole numbers

2 + 3 = 5

Add the fractions itself

6/8 + 5/8 = 11/8

11/8 = 1 3/8

Combine whole numbers and fractions

5 + 1 + 3/8

6 3/8

Factors over the complex numbers for the given expression y⁴ + 14y² + 49 is equal to [ ( y + i√7) (y - i√7 ) ]² .

As given in the question,

Given expression is :

y⁴ + 14y² + 49

Simplify the given expression to get the factors of it , we get ,

y⁴ + 14y² + 49

= y⁴ + 2 ( 7 )y² + ( 7 )²

= ( y² + 7 )²

Now convert the factors into complex numbers ,

= [ y² - (-1)(√7)²]²

We know that ( -1 ) = i²

= [ y² - ( i√7)² ]²

= [ ( y - i√7 )( y + i√7) ]²

Therefore, the complex numbers factors of the given expression is equal to [ ( y - i√7 )( y + i√7) ]².

Learn more about complex numbers here

brainly.com/question/20566728

#SPJ4

The blanks are filled as below

Collinear points are those that are situated along a single straight line.

Collinear points are those that are on a line either close to or far from another point, it can be more than two points.

While coplanar points imply lying on the same plane

In the diagram,

E, F, and G are collinear points

D, B, E, F, and G are coplanar points

A, B, and C are another collinear points

Learn more about collinear points at:

https://brainly.com/question/2234342

#SPJ1

Answer:

Website A is cheaper by 29 cents

Step-by-step explanation:

A

49.95 + 4.39 = 54.34

B

47.68 + 6.95 = 54.63

54.63 - 54.34 = 0.29

Answer:

the difference is 0.29 cents

website A is cheaper

Step-by-step explanation:

(47.68 + 6.95) - (49.95 + 4.39)

54.63 - 54.34 = 0.29

The circumference of a circle after dilation will be 12.56 in.

What is the circumference of a circle?

The overall length of the circle's boundary is referred to as the circumference. The circumference of a circle is its edge or the measurement of its entire arc.

The formula for the circumference of a circle is given:

Circumference of a circle = 2πr

Given, the radius of a circle = 4 in.

The radius after dilatation by a scale factor of one-half (1/2), then

new radius = (1/2)*4 = 2 in.

So, circumference of a circle = 2π * (new radius)

                                                = 2*3.14*2

                                                = 12.56 in.

Hence, the circumference after dilation is 12.56 in.

To learn more about the circumference of a circle

https://brainly.com/question/9743342

#SPJ4

They both Bihn and Inscoe can do same work in 3(1/13) hours.

How to solve work time problems?

Efficiency = (work)/(time)

Bihn can write one test =  Eight hours

Bihn's one hour work = 1/8

Inscoe can write one test = Five hours

Inscoe's one hour work = 1/5

Bihn and Inscoe 's one hour work =  1/8 + 1/5

= (5 + 8)/40

= 13/40

Both Bihn and Inscoe can do same work in 40/13

= 3(1/13) [13 * 3 + 1]

Hence, they both Bihn and Inscoe can do same work in 3(1/13) hours.

To know more about work check the below link:

https://brainly.com/question/13086625

#SPJ1

Answer:

[tex]x=1.45[/tex]

Step-by-step explanation:

[tex]2\left(x-4 \frac{1}{2} \right)=-6.1 \\ \\ 2\left(x-\frac{9}{2} \right)=-6.1 \\ \\ 2x-9=-6.1 \\ \\ 2x=2.9 \\ \\ x=1.45[/tex]

The marked-up price of the desk in the furniture store is $158.92.

The markup is the difference added to the cost of a product or service.

The markup represents the seller's profit on the cost.

The markup differs from the margin, which is the ratio of the seller's profit to the sales price.

The wholesale price of a desk = $137

Markup rate = 16%

Marked-up price = $158.92 ($137 x 1.16)

Thus, the desk is sold at the marked-up price of $158.92.

Learn more about markup and margin at https://brainly.com/question/13248184

#SPJ1

The pair of lines given are parallel to each other.

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

We have the following pair of lines -

y = 5x + 12

y = 5x - 1.3

Since the slope of lines are same, both of these lines are parallel to each other.

Therefore, the pair of lines given are parallel to each other.

To solve more questions on straight lines, visit the link below-

brainly.com/question/20400984

#SPJ1

By using unitary method, it can be calculated that Height of the tree is 30 feet

What is unitary method?

Unitary method is the process in which the value of single unit can be calculated from the value of multiple unit and the value of multiple unit can be calculated from the value of single unit. Sometimes Value of single unit can be less than the value of multiple unit. For example - The relation between the cost of a commodity and the quantity of the commodity

Sometimes Value of single unit can be more than the value of multiple unit. For example - The relation between the number of men and the number of days taken by those men to do a certain job.

This is a problem on unitary method

A shadow of 4.5 feet long is casted  by my friend 5 feet tall

A shadow of 1 feet is casted by an object of height [tex]\frac{5}{4.5} \ feet[/tex]

A shadow of 27 feet is casted by a tree of height [tex]\frac{5}{4.5}\times 27 \ feet[/tex]

A shadow of 27 feet is casted by a tree of height 30 feet

Height of the tree is 30 feet

To learn more about unitary method, refer to the link -

https://brainly.com/question/24587372

#SPJ4

When comparing the means of two populations, it is often preferable to use a two-sample t test, rather than a one-way ANOVA f test because the non-pooled t statistic does not require the assumption that the populations have equal Variances.

To know more about Statistics here: https://brainly.com/question/218301

#SPJ4

Answer: 122 12/46 OR 122 R 12 OR 1252.69565

Step-by-step explanation:

Answer:

-3x, where x is the number of yards lost on the first play.

Step-by-step explanation: