Given the equation y = 3x + 7, which word(s) best describes the 3? Select all that apply.
*
A. slope
B. y-intercept
C. x-intercept
D. coefficient
E. constant

The length of the hypotenuse is given by the function h(x) = √[x² + (10/x)²]

An equation is an expression that shows the relationship between two or more numbers and variables.

The area of the right triangle is 5 in², the length of the leg is x, hence:

Area = (1/2) * base * height

5 = (1/2) * x * height

height = 10/x

hypotenuse = √[(leg)² + (height)²]

h(x) = √[x² + (10/x)²]

The length of the hypotenuse is given by the function h(x) = √[x² + (10/x)²]

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1. The journal entry to show the transfer of Job 102 into Finished Goods Inventory after its completion is as follows:

Debit Finished Goods $53,600

Credit Work in Process: Job 102 $53,600

2. The journal entries to recognize the sales revenue and cost of goods sold for Job 202 are as follows:

Debit Cash/Accounts Receivable $60,000

Credit Sales Revenue $60,000

Debit Cost of goods sold $55,000

Credit Finished Goods Inventory $55,000

3. The journal entry to transfer the balance of the Manufacturing Overhead account to the Cost of Goods Sold account is as follows:

Debit Manufacturing Overhead $4,000

Credit Cost of Goods Sold $4,000

Estimated total manufacturing overhead = $420,000

Estimated total machine hours = 60,000 hours

Predetermined overhead rate = $7 ($420,000/60,000)

                                            Job 101     Job 102          Job 103         Total

Direct materials used       $ 19,200    $ 14,400       $ 9,600     $ 43,200

Direct labor                      $ 28,800     $ 11,200       $ 9,600     $ 49,600

Applied overhead              $7,000     $28,000      $14,000      $49,000

Total costs                       $55,000     $53,600      $33,200     $141,800

Machine hours             1,000 hours   4,000 hours 2,000 hours 7,000 hrs

Status of Jobs                   Sold             Finished      WIP

Sales revenue (Job 101) = $60,000

Actual overhead costs for the first month = $45,000

Applied overhead for the first month = $49,000 ($7 x 7,000)

Overapplied overhead = $4,000 ($49,000 - $45,000)

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In January 2014, the debt per capita was: = $54,522.53.

Net debt per capita is simply the total debt of a country or even other jurisdiction divided by the residents residing there. Net debt per capita can provide insight into how leveraged a government is.

The average American has $92,727 in consumer debt, according to 2020 Experian research. Consumer debt encompasses a wide range of personal credit accounts, including credit cards, auto loans, mortgage, and personal loans, including school loans.

Population = 317.3 million.

US Federal Debt was a reported  = $17.3 trillion.

Federal Debt per capita. = ?

We know that:

by adding short-term and long-term debt, deducting cash and some other liquid assets, then dividing by population.

The debt per capita in Jan 2014 was:

=1.73 x 1013 / 3.173 x 108

= $54,522.53.

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Answer:

9

Step-by-step explanation:

(a-b)^2=a^2-2ab+b^2

(15-12)^2=9

Answer: 96

Step-by-step explanation:

Plug in a and b. so, (15-4(3))2+2(15). so (15-12)2+30. (3)32. Answer is 96.

Answer:

-10x-6

Step-by-step explanation:

and simplify and add

Answer: 17 strings

Step-by-step explanation:

let the number of strings be a

let the number of beads on each string be b

a − b = 10 (first equation)
a × b = 119 (second equation)

From the first equation:

a = 10 + b

substitute first equation into second equation
b × (10 + b) = 119
10b + b² − 119 = 0
b = 7 or b = -17     reject -17

a − 7 = 10
a = 17

Answer:

73 - Explanation and Check below

Step-by-step explanation:

11x - 4 = 9x + 10

1. Get variable (x) on one side.

11x - 4 = 9x + 10

- 9x - 9x

2x - 4 = 10

2. Solve 2 step equation - add 4 on both sides of equation.

2x - 4 = 10

+ 4 + 4

3. Divide 2 on both sides of equation.

2x = 14

---- ----

2 2

x = 7

Check:

11 (7) - 4 = 9(7) + 10

77 - 4 = 63 + 10

73 = 73 True statement.

Explanation:

If a transversal intersects two parallel lines, the corresponding angles will be always equal.

So in the problem, the two given equations are equal to each other.

The answer for the two angles with equations is 73.

Also, the angles vertical to the two equations are also 73 because vertical angles are congruent (equal).

Hope this helps :)

The three questions mentioned above which translated to one variable linear equation.

Problem first,
The rank of a student is 5 more than the other, Sum of their rank is 7
The solution, rank of student be x
            rank of another student = x + 5
          According to the question,
          x + x + 5 = 7
              2x = 2
                 x = 1

Problem second.
A student has 2 pens less than their friend, the sum of their pens is 6
Solution-
               let the student has x pens
               His friends have = x + 2 pens
               Now. total = x + x + 2
                             6 = 2x + 2
                             x = 2

Problem third,
Ashwin is 2 times older than his friend and his friend's age is 24 what is the age of Ashwin,
Solution,
             Let the age of Ashwin be x
                according to question
                    x = 24 + 2
                     x = 26

Thus, the three questions mentioned above which translated to one variable linear equation.

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Answer:13

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

i hope it's helpful for you

The confidence interval for the mean assembly time is [15.625, 16.775].

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Explanation:

Start at -1 on the x axis number line. Then move vertically until reaching the function curve. You should arrive at (-1,2). This tells us that g(-1) = 2. In other words, the input x = -1 leads to the output y = 2.

Follow similar steps to find that g(1) = -2

Therefore, g(-1)+g(1) = 2 + (-2) = 0

Answer:

  -8.8x +5

Step-by-step explanation:

You want to simplify the expression -0.8x+40-8x-35.

The expression is simplified by combining like terms. Like terms have the same (set of) variables.

  -0.8x +40 -8x -35

  = -0.8x -8x +40 -35 . . . . . . group like terms

  = (-0.8 -8)x +(40 -35)

  = -8.8x +5

Answer:

Step-by-step explanation: 5x=3(x+6)

5x=3x+18

5x-2x=18

3x=18

x=18/3

x=6

The expression that have 23 as a product is 130×23

For an expression to have 23 as a product, the expression must be a multiple of 23

This is indicated by

x/23 => Integer

So, we have:

2125×5063/23 = 4677..... (false)

78×925/23 = 3136.9....(false)

130×23/23 = 130 --- true

325×712/23 = 10060.... (false)

2027×2730/23 = 240596.. (false)

Hence, the expression that have 23 as a product is 130×23

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The justification for each step in the solution of the equation are as follows:

The equation is given as

23x − 13 = 2(x + 2)

Based on the solutions, we can rewrite the given equation as follows

So, we have

2/3x − 1/3 = 2(x + 2)

So, the justification for each step in the solution of the equation are as follows:

2/3x − 1/3 = 2(x + 2) -- Given

By the multiplication property of an equation, we have

2x − 1 = 6(x + 2)

By the distributive property of an equation, we have

2x − 1 = 6x + 12

Next, we collect and evaluate the like terms

2x = 6x + 13

By the subtraction property of an equation, we have

−4x = 13

By the division property of an equation, we have

x =−13/4

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Answer:The cost should be 300,000 dollars

Step-by-step explanation:

The total laps your friend runs is 3.

A fraction is a non-integer that is made up of a numerator and a denominator. The numerator is the number above and the denominator is the number below.

A proper fraction is a fraction where the numerator is less than the denominator. A mixed fraction is a fraction that is made up of a whole number and a proper fraction.

The first step is to determine the total miles you run

Total miles run  = length of the side walk x total number of laps

9/10 x (3 + 2)

9/10 x 5 = 45 / 10 = 4.5 miles

The second step is to determine the total number of laps she runs:

4.5 miles / 1 1/2 miles

4.5 / 1.5 = 3 laps

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Answer:-26

Step-by-step explanation:

-2+10+10=-3(x+2)+x=-26 np

Answer:

-48.54 ÷ -6 = 8.09

so the answer is 8.09

hope this helps

The given statement written as a mathematical expression is c² - c + 14

From the question, we are to write the given statement as a mathematical expression

The given statement is

"The difference between the square of c and the total of c and 14"

The square of c is

c²

and

The total of c and 14 is
c + 14

Thus,

The statement becomes

c² - c + 14

Hence, the given statement written as a mathematical expression is c² - c + 14

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Answer:

You save $ 14.27

Step-by-step explanation:

12 dozen = 11.53

2.15 x 12 = 25.80

25.80 - 11.53 = 14.27

The required answer for the given equation is d = 1/2, ±√14.

The division is one of the four basic mathematical operations, the other three being addition, subtraction, and multiplication.

Now the given equation is,

420 ÷ d = 30d = 15

Now if,

30d = 15

Then divide both the side by 30 we get,

30d/30 = 15/30

Solving we get,

d = 1/2

this is the required value of d

Now if,

420 ÷ d = 30d

So simplifying it we get,

420/d = 30d

multiplying both the side by d we get,

d*420/d = 30d*d

Solving we get,

30d^2 = 420

Dividing both the side by 30 we get,

30d^2/30 = 420/30

Solving we get,

d^2 = 14

Taking square root both the side we get,

√d^2 = √14

Solving we get,

d = ±√14
this is the required value of d.

Thus, the required answer for the given equation is d = 1/2, ±√14.

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Answer: Slope=5/3

Step-by-step explanation:

my teacher said

The function that models the path of the second kick is y = -0.02(x - 0.30)^2 + 24

Quadratic equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k

The function that models the path of the first kick is given as

y = -0.02(x - 0.30)^2 + 18

A quadratic function is represented as

y = a(x - h)^2 + k

Where

Vertex = (h, k)

In this case, the interpretation of the vertex is

Vertex = (Horizontal distance, Maximum height)

Using the above as a guide, we have

Vertex = (30, 18)

This means that

Horizontal distance = 30

Maximum height = 18

For the second ball, we have

This means that

Horizontal distance = 30

Maximum height = 18 + 6

Evaluate

Horizontal distance = 30

Maximum height = 24

So, the function that models the path of the second kick is y = -0.02(x - 0.30)^2 + 24

Hence, the function that models the path of the second kick is y = -0.02(x - 0.30)^2 + 24

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