ded Assignment
A truck can carry a load of 6000 lb. Assuming that it could be cut to fit, how many feet of steel beam weighing 32.9 lb/ft (pounds per foot) can the truck carry?
The truck can carry feet of steel bearn weighing 32.9 lb/ft
(Round to the nearest hundredth as needed.)

After factorization, the absolute value of the variable 'x' is 9.

What is factorization method?

The factorization method is used for the quadratic based equation whose highest degree is either two or more than two. Depending upon the degree of the variable, the number of factors are calculated. And by substituting the calculated value to check whether the answer is correct or not.

According to the question, the given linear equation is: |2x - 4| = 15

Now, to calculate the value of the variable 'x' by using factorization method. And to remove the bars which represent absolute value that means positive values

Required expression: |2x - 4| = 15

⇒ 2x = 15 + 4 = 19

⇒ x = 19/2 = 9.5

After factorization, the absolute value of the variable 'x' is 9.

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Answer: 1/4

Step-by-step explanation:

The scale factor is the same as the ratio of the length of a side of the image to the length of the corresponding side in the preimage.

We know that A'D'=2 and AD=8, so the scale factor is 2/8 = 1/4.

The number of rectangular containers will be necessary to package 6,400 candles is 143

The number of cylindrical containers will be necessary to package 6,400 candles is 157.

The container that would minimise cost is the rectangular container because it would $67 less to use the rectangular container.

The first step is to determine the total cost of packing 6400 candles using the rectangular container.

Total cost = number of containers needed x cost of one rectangular container

Number of containers needed = total number of candles to be packages / number of candles the container can hold

6400 / 45 = 142.22 = 143 rectangular containers

Total cost = $16 x 143 = $2,288

The next step is to determine the total cost of packing 6400 candles using the cylindrical container.

Total cost = number of containers needed x cost of one cylindrical container

Number of containers needed = total number of candles to be packages / number of candles the container can hold

6400 / 41 = 156.1  = 157 cylindrical containers

Total cost = $15 x 157 = $2,355

Difference in costs = $2,355 - $2,288 = $67

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In linear equation, $ 442.54 tall is the tower.

What are a definition and an example of a linear equation?

Suppose A is the window, B is the top of the tower, C is the bottom of the tower, and D is the point on the tower at the same horizontal level as the window.

Find BD, DC then add these together to give this°.

For BD :  AD is 350 ft, the angle CAD is 42.  

So BD/350 = tan 42°.  

      BD =  0.9004 × 350

      BD  = 315.14

   AD/350  =  tan20°

    AD =   0.364 × 350

    AD =  127.4

AD + BD =   315.14 +   127.4  =  $ 442.54

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The sets of numbers which each of the numbers given belong to as required in the task content is as follows;

As evident in the task content, the sets to which the three numbers belong is to be determined.

Hence, taking the numbers one after the other; we have;

15 => The number 15 belongs to the set of real numbers, rational numbers and most particularly, integers.

-5.075 => The number -5.075 belongs to the set of real numbers, rational numbers, and most particularly, decimals.

π => The number represented by π belongs to the set of real numbers, irrational numbers and it's numerical value is a non-terminal and non-repeating decimal.

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Step-by-step explanation:

your answers are right in my pov

Answer:

Factoring polynomials is the inverse process of multiplying polynomials. After factoring a polynomial, if we divide the polynomial with the factors then the remainder will be zero.

The term "if and only if" makes the sentence bi-conditional. A triangle is equilateral if and only if it has three congruent sides.

A conditional statement with its opposite expressed in the form of "if and only if," collectively known as a bi-conditional statement. Bi-conditional logic is the theory behind bi-conditional assertions.

This can be compared to the conditional sentence, "if this, then that." Due to the lack of a "if and only if," it is not bi-conditional. The reversal of a conditional statement's ability to produce a bi-conditional depends on whether it is also true.

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Hello! In this question, we will be solving the given equation for the variable "y".

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Explanation:

In our question, we were given the following equation:

To solve for our "y" variable, we will perform distributive property and simplify to get the value of "y".

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Solve:

[tex]0.3(6y + 15) = 1.8y + 4.5\\\\\text{Use the distributive property to distribute the "0.3"}\\\\1.8y+4.5=1.8y+4.5\\\\\text{Since both sides of the equal sign are equal, there will be infinite solutions}[/tex]

Proof:

[tex]\text{To prove that there are infinite solutions, we could continue to solve the}\\\text{equation:}\\\\1.8y+4.5 =1.8y+4.5 \\\\\text{Subtract 1.8y from both sides}\\\\4.5=4.5\\\\\text{Subtract 4.5 from both sides}\\\\0=0[/tex]

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Answer:

[tex]\boxed{\text{Infinite solutions}}[/tex]

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Let's begin by listing out the information given to us:

The elevator starts at 80 m

The elevator descends 2 meters every 0.5 seconds for 4 seconds

The inequality is given by:

The set notation is given by:

The total number of orders that Angela has to clean are 60.

Given:

Number of pairs of shoes cleaned by Angela = 12

Let the total number of shoes to be cleaned be x.

So,12 pairs of shoes are 20% of her total orders.

20% of x = 12

(20/100)x = 12

0.2x = 12

x = 12/ 0.2

x = 60

Therefore, Angela has to clean a total of 60 pairs of shoes.

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Answer:

When A = 0 and y = 1 and C = 2

0x + 1y = 2

y = 2 No matter what x is, y will always be 2 and this will create a horizontal line.

Step-by-step explanation:

Answer:

x-intercept equals 5

y-intercept equals -10

Step-by-step explanation:

y-intercept: solve when x=0. y=-2|x-5|= -10

Assume to contrary that the sum of the squares of two odd integers can be the square of an integer. Since, [tex]2[2(m^{2}+n^{2})+2(m+n)+1][/tex] is odd it shows that sum of the squares of two odd integers cannot be the square of an integer.

A quadrilateral with four equal sides is called a square. There are the numerous items in our environment that have a square shape. Equal sides and internal angles that are both 90 degrees distinguish each square shape. Let's find out more about square's characteristics, mathematics, and design.

A square has four corners and is closed, two-dimensional (2D) object.

Assume to contrary that the sum of the squares of two odd integers can be the square of an integer.

Suppose that x,y,z∈Z such that [tex]x^{2} +y^{2} =z^{2}[/tex], and x and y are odd.

Let, x=2m+1 and y=2n+1.

Hence,

[tex]x^{2} +y^{2} =(2m+1)^{2} + (2n+1)^{2}[/tex]

           =[tex]4m^{2}+4m+1+4n^{2}+4n+1[/tex]

           =[tex]4(m^{2}+n^{2}) + 4(m+n)+2[/tex]

           =[tex]2[2(m^{2}+n^{2})+2(m+n)+1][/tex]

Since, [tex]2[2(m^{2}+n^{2})+2(m+n)+1][/tex] is odd it shows that sum of the squares of two odd integers cannot be the square of an integer.

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Answer:

7.

[tex]y = \frac{a - b \: x {}^{10} \times ln(x) }{x {}^{10} } [/tex]

8.

[tex]y = \frac{12x {}^{3} \times ln(x) - 2x {}^{4} + 1 + 4\pi {}^{2}x {}^{3} }{4x {}^{3} } [/tex]

Answer:

6.6 is the correct number

Step-by-step explanation:

The base is 2.2 inches. The height is 3 inches. So the area is 2.2 × 3 = 6.6 square inches.

Answer:

100-22=78

78+6=84

1500 x 84/100= 1260Dhs

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The number of cubical required are [tex]3456/n[/tex] here n is the area where it is kept.

To find the the number of blocks required, first you are suppose to know the volume of each brick and the area of the place where it is suppose to be kept. The area is not mentioned in this question because it is incomplete.
So, to proceed with it the volume of this block is L×B×H.

Given; length = 18 inches

breadth= 16 inches

and height = 1 foot = 12 inches

Thus Volume of cubical is 18× 16× 12= 3456 inches.

The number of bricks required is [tex]3456/n[/tex] here n represents the area of the place where it is supposed to be kept.

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Finding the numeric value of the regression line, it is found that the electric bill in a month with temperature of 48 degrees is of $157.59.

To find the numeric value of a function, we replace each instance of the variable in the function by the desired value.

In the context of this problem, the function is given as follows:

y = 227.19 - 1.45x.

Which y giving the electric bill for a month of temperature x degrees.

The temperature is of 48 degrees, hence to find the electric bill, the lone instance of x in the function is replaced by 48, hence:

y = 227.19 - 1.45(48) = $157.59.

Hence the electric bill in a month with temperature of 48 degrees is of $157.59.

The regression line is missing in this problem, as is defined as follows:

y = 227.19 - 1.45x.

In which:

The problem asks for the electric bill in a month with temperature of 48 degrees.

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Answer: 25.5 miles per gallon. 16.8 gallons x 25.5 miles = 428.4 miles

Answer:

(-4,0)

ignore this line

The required value of the function is 2

In the case of a function from one set to the other, each element of X receives exactly one element of Y.

The given function is of the form :

g(x) = - x² - 7

Now let us find the required values.

g (-3) = - (-3)² - 7 = 2

g (-2) = - (-2)² - 7 = -3

g (1 ) = - ( -1 )² - 7 = -6

Hence the required value of the function is 2 at x = -3 .

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Answer:

13 units

Step-by-step explanation:

[tex]d=√((x_2-x_1)²+(y_2-y_1)²) [/tex]

[tex] \sqrt{( - 2 - ( -14)^{2} } + ( - 4 - 1) {}^{2} [/tex]

[tex] \sqrt{12 {}^{2} } + ( - 5) {}^{2} [/tex]

[tex] \sqrt{169} [/tex]

Answer:

Yes.

Step-by-step explanation:

18/ 3 = 6

3 / 3 = 1

so,  6 : 1.

They could buy 8 small notebooks or 3 large notebooks and 3 small notebooks.

Answer: just one way to do it. You can buy 3, large books and 3 small books

Step-by-step explanation:

10x3=30

48-30=18

18 divided by 3 = 6

Check the picture below.

Answer: 13

Step-by-step explanation:

As the sum of the angles of a triangle is 180, we have that 39 + 90 + 3x+12 = 180.

3x = 180 - 39 - 90 - 12

3x = 39

x = 13