Use the equations for the total cost C and total revenue R to find the number x of units a company must sell to break even. (Round to the nearest whole unit.)
C = 2.5

x
+ 14,000, R = 6.23x

Answer: 288

Step-by-step explanation: 312 - 24 = 288

The amount she pays altogether after an additional 30% of the price is $71.5

She buys a textbook online for $55.

The shipping and handling are an additional 30% of the price. Therefore, the cost she pays altogether is as follows:

30% of 55 = 30 / 100 × 55 = 1650 / 100 = $16.5

Therefore, the amount she pays altogether  = 16.5 + 55 = $71.5

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If outcome O₁ has a frequency 4/a, outcome O₂ has a frequency 12/a, and outcome O₃ has frequency 3/a, then the value of a is 19

Frequency of outcome O₁ = 4/a

Frequency of outcome O₂ = 12/a

Frequency of outcome O₃ = 3/a

Let's say 1/a = x

Now, the Frequency of outcome O₁ = 4x

Frequency of outcome O₂ = 12x

Frequency of outcome O₃ = 3x

The sum of the respective frequencies must equal 1.

So, 4x + 12x + 3x = 1

                      19x = 1

x = 1/19

That means that the “a” in the problem is 19.

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Answer:

A = 44.5 square feet

Step-by-step explanation:

you can separate the 5' x 5' square on top from the trapezoid on the bottom

A(square) = s² = 5² = 25

A(trapezoid) = 1/2h·(sum of 2 bases)

                    = 1/2 (6) (5 + 8)

                     = 3(13)

                      = 39/2 = 19.5

Area of total shape = 25 + 19.5 = 44.5

Answer:

0.

Step-by-step explanation:

The slope of the line is defined as the change of elevation of the line (\(\frac{rise}{run}\)).

In this case, there is no change in the slope as the line continues across (0 , 2), meaning that the slope of the line is 0.

If the slope of the line is 1, then the line will have (rise 1/run 1), meaning that it will have a linear slope. (See attached image).

Vertical lines have infinite slope, and so can also be called undefined as it moves neither left or right, giving it no run.

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Answer:

5.75x2=11.5

Step-by-step explanation:

Jane spend $11.15 for lunch during 10 school days.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Jane spends $5.75 for lunch during 5 school days.

Hence, We get;

The amount spend money for lunch during 10 school days is,

⇒ $5.75 × 10 / 5

⇒ $5.75 × 2

⇒ $11.15

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Answer:

y= 2x + 5

Step-by-step explanation:

The total area of the composite figure which has triangle and rectangle is  24.41 square inches

The given composite figure has two triangles and one rectangle

Area of rectangle =length × width

=4.6×3.15

=14.49 square inches

Area of left side triangle, it has base of 3.3 in and height 3.15 inches

Area of triangle = 1/2×3.3×3.15

=5.1975 square inches

Area of triangle on right side

Base = 3 in

Height = 6.3-3.15=3.15 in

Area of triangle = 1/2×3×3.15

=4.725 square inches

Total area = 14.49 + 5.1975  + 4.725

=24.41 square inches

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Answer:

magazine ads - 11, 33, 44, 66

newspaper ads - 2, 6, 8, 12

The required, one of them should change the position of the block from horizontal to vertical and then combine the structure together.

3D geometry is the study of shapes in 3D space using three coordinates: x-coordinate, y-coordinate, and z-coordinate. To discover the exact location of a point in 3D space, three criteria are required.

Here,
Since Velma and Cruce the separate buildings one of them made the building by placing blocks horizontally and the other made the building by placing blocks vertically, So one of them must change their way of building.

Therefore, required, one of them should change the position of the block from horizontal to vertical and then combine the structure together.

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Answer:

Solution given:

length [l] =6in

wide[w]=9in

height[h]=4in

we have

volume of the display box=lwh=6*9*4=216in³

the required volume is 216 cubic inches.

Answer:

3, 2√2, √7

Step-by-step explanation:

compute the square roots of the next three prime numbers:

√7

√11

√13

Therefore, the next three terms of the sequence are:

{1, √2, √3, 2, √5, √7, √11, √13}

chatgpt

chat

\(7x \: - 12 \\ this \: is \: the \: equation\)

Hi there! Your answer is f(x) = x(x+3)²(x-4)

Please see an explanation for a clear and better understanding to your problem.

Any questions about my answer or explanation can be asked through comments! :)

Step-by-step explanation:

This type of graph is called Graph of Polynomial Function. They have a degree of n where n is the positive integer. The polynomial functions can be broken into these two categorizes:

Note that they are for graph purpose only, may not appear in curriculum.

Odd-Degree functions will have graphs that start from negative infinity to positive infinity for f(x) term. Please see first and two attachments for a clear understanding.

Even-Degree functions will have graphs that start from positive infinity to positive infinity for f(x) term. Please see third and fourth attachment.

Therefore, the graph is even-degree polynomial because it starts from positive infinity where f(x) is decreasing to positive infinity where f(x) is increasing.

Next is to find a factored from of function. Factored forms are basically x-intercepts form of function. Please see the formula.

\(\large\boxed{f(x)=(x-a)(x-b)(x-c)}\)

This is an example of factored form. The x-intercepts are at a, b and c. Just like how you solve an equation.

So what we need to do is to find x-intercepts.

The graph has x-intercepts at these following:

Then we convert them into factored form including swapping from positive to negative and negative to positive. We should get:

\(\large{f(x)=(x+3)^2(x+0)(x-4)}\\\large{f(x)=x(x+3)^2(x-4)}\)

Notice if we multiply these, we'd get 4-degree polynomial.

[ Reference to double of x = -3 ]

The graph suddenly shifts up when f(x) = 0 on x = -3. Hence, implying that x = -3 are doubled also known as (x+3)(x+3) = (x+3)²

Answer:

192,110,919

Step-by-step explanation:

You would first need to divide 959595 by 555 which would equal 1729. Then you would need to multiply 1729*111111 which would equal 192,110,919.

Hope this helps and pls do mark me brainliest if you can:)

Answer:

209

Step-by-step explanation:

I think you meant how many cars she could wash in 95 days, and she can wash them in 5 days. And for the bottom, I think you meant 11. First, you figure out how many cars per day. 95 divided by 5 is 19, so it's 19 cars per day. then you multiply 19 by 11, it is 209.

The Expression x^2 - 6x + 9 when x = 2 + i   is -2i

To evaluate the expression x^2 - 6x + 9 when x = 2 + i, we substitute the value of x into the expression:

(2 + i)^2 - 6(2 + i) + 9

Simplifying the first term, we get:

(2 + i)^2 = 2^2 + 2(2)(i) + i^2 = 4 + 4i + i^2

Since i^2 = -1, we can substitute that in and simplify further:

(2 + i)^2 = 4 + 4i - 1 = 3 + 4i

Now we substitute this into the original expression:

(2 + i)^2 - 6(2 + i) + 9 = (3 + 4i) - 6(2 + i) + 9

Simplifying further, we get:

= 3 + 4i - 12 - 6i + 9

= 0 - 2i

= -2i

Therefore, the value of x^2 - 6x + 9 when x = 2 + i is -2i.

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Answer:

\(d = 29r + 10\)

Solving steps:

To check :--

=> d = 29r + 10

according to the table lets insert 3 to check if it's correct

=> d = 29r + 10

=> d = 29(3) + 10

=> d = 87 + 10

=> d = 97

so therefore it gave us the correct answer according to the table the cost in dollar where 97 and since it gives us 97 it's correct

Entry ticket = $7

Gift shop money = $g

Maximum to spend = $30

Inequality => 7+g ≤ 30

Hope it helps!

Answer: x= 1.4  Hope this helps with your assignment.

Answer:

The table is a quadratic function

Step-by-step explanation:

Given

The attached table

Required

Tell if it is a quadratic function

The difference in the x values are uniform (i.e. difference of 1), so the following method can be applied.

(1) Subtract adjacent y values.

\(d_1=2 - 16 = -14\)

\(d_2=-2 - 2 = -4\)

\(d_3 = 4--2 = 6\)

\(d_4 = 20 - 4 = 16\)

(2) Subtract adjacent differences in (1) above

\(d_5 = d_2 - d_1 = -4 --14 = 10\)

\(d_6 = d_3 - d_2 = 6 --4 = 10\)

\(d_7 = d_4 - d_3 = 16 -6 = 10\)

Notice the calculated differences in (2) are the same.

Hence, the table is a quadratic function

a.) 0.5367 feet

b.) 0.5223 feet'

Given the rate at which an eucalyptus tree will grow modelled by the equation 0.5+6/(t+4)³ feet per year, where t is the time (in years).

The amount of growth can be gotten by integrating the given rate equation as shown:

\(\int\limits {0.5} \, + \frac{6}{(t+4)^{3} } dt\)

\(=\int\limits {0.5} \,dt + \int\limits\frac{6}{(t+4)^{3} } dx\)

\(=0.5t+\int\limits6u^{-3} du \, \,where \,u=t +4 \, and \, du=dt\)

\(=0.5t+6*\frac{u^{-3} }{-2} + C\)

\(=0.5t-3u^{-2}+C\)

\(=0.5t-3(t+4)^{-2} +C\)

a)  The number of feet that the tree will grow in the second year can be gotten by taking the limit of the integral from  t =1 to t = 2

\(\int\limits^2_1 {0.5} \,dt + \int\limits\frac{6}{(t+4)^{3} } dx \, =[0.5t-3(t+4)^{-2} ]\)

\(=[0.5(2)-3(2+4)^{-2} ]-[0.5-3(5)^{-2} ]\)

\(=\frac{11}{12}-\frac{1}{2}-\frac{3}{25}\)

\(=0.9167-0.5+0.12\)

\(=0.5367\)

b)  The number of feet that the tree will grow in the third year can be gotten by taking the limit of the integral from  t =2 to t = 3

\(\int\limits^3_2 {0.5} \,dt + \int\limits\frac{6}{(t+4)^{3} } dx \,\)

\(=[0.5t-3(t+4)^{-2} ]\)

\(=[1.5-\frac{3}{49} ]-[1-\frac{1}{12} ]\)

=1.439-0.9167

=0.5223 feet

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Answer:

a and c

Step-by-step explanation:

Answer:

its c

Step-by-step explanation:

i got it right

The equation of the line is 2x + 5y = 11 hat passes through the points (3,1) and (-2,3)

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

\(\rm m =\dfrac{y_2-y_1}{x_2-x_1}\)

We have two points:

(3,1) and (-2,3)

The equation of the line passing through the points (3,1) and (-2,3)

\(\rm (y - 3) = \dfrac{3-1}{-2-3}(x+2)\)

\(\rm (y - 3) = -\dfrac{2}{5}(x+2)\)

5y - 15 = -2x - 4

2x + 5y = 11

Thus, the equation of the line is 2x + 5y = 11 hat passes through the points (3,1) and (-2,3)

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Answer:

there is significant difference bag weights for two machines

Step-by-step explanation:

Given the data :

Machine 1: 2.95 3.45 3.50 3.75 3.48 3.26 3.33 3.20 3.16 3.20 3.22 3.38 3.90 3.36 3.25 3.28 3.20 3.22 2.98 3.45 3.70 3.34 3.18 3.35 3.12

Machine 2: 3.22 3.30 3.34 3.28 3.29 3.25 3.30 3.27 3.39 3.34 3.35 3.19 3.35 3.05 3.36 3.28 3.30 3.28 3.30 3.20 3.16 3.33

Hypothesis:

H0 : σ1² = σ2²

H1 : σ1² ≠ σ2²

Using calculator, we can obtain the standard deviation of machine 1 and 2 :

Machine 1 : s1 = 0.2211

Machine 2 : s2 = 0.0774

Using the Fratio:

F test = s1² / s2² = 0.2211² / 0.0774² = 8.16

Sample size, n1 = 25 ; n2 = 22

Degree of freedom, n1 - 1 = 25 - 1 = 24 ; n2 - 1 = 22 - 1 = 21

The Pvalue Using the Pvalue from Ftest calculator :

Pvalue < 0.00001

Since Pvalue < α ; We reject the Null and conclude that ; there is significant difference in the bag weights for two machines at 0.05

Answer:

Step-by-step explanation:

A scalene triangle has no equal length sides. It also has no equal inside angles. These triangles can be acute (all angles less than 90°), right-angled (one angle is 90°), or obtuse (one angle is more than 90°).

Answer: (3, -2.333) or (3, -7/3)

Step-by-step explanation:

We're given an x value (x=3) when looking at the coordinate, so we're trying to find what y is equal to given the equation. We can plug in x=3 into 5x+3y=8 and isolate for y.

\(5(3)+3y=8\\15 + 3y=8\\3y=-7\\y=-\frac{7}{3}\)

Answer:

y= -2 1/3

Step-by-step explanation:

Since you have x, you put x into the equation and work through the problem.

5(3)+3y=8

15+3y=8, then subtract 15 from both sides

3y=(-7), then divide both sides by 3

y=(-7)/3 or (-2 1/3)

Answer:

c

Step-by-step explanation:

hoped it helped you:)))

a║b

Lines are Parallel by the Lines Perpendicular to a Transversal Theorem.

1) Examining that graph, we can see that:

Note that the Perpendicular Transversal Theorem states that

So since they are perpendicular we can write out other right angles, the converse of that theorem states that "if there are two lines perpendicular to the same line" then they are parallel.

a║b

And the reasoning is:

Lines are Parallel by the Lines Perpendicular to a Transversal Theorem.

The value of the expression \(2(cos^4 60 + sin^4 30) -(tan^2 60 + cot^2 45) + 3\times sec^2 30 is 33/4.\)

Let's simplify the expression step by step:

Recall the values of trigonometric functions for common angles:

cos(60°) = 1/2

sin(30°) = 1/2

tan(60°) = √(3)

cot(45°) = 1

sec(30°) = 2

Substitute the values into the expression:

\(2(cos^4 60 + sin^4 30) - (tan^2 60 + cot^2 45) + 3sec^2 30\)

= \(2((1/2)^4 + (1/2)^4) - (\sqrt{(3)^2 + 1^2} ) + 3(2^2)\)

= 2(1/16 + 1/16) - (3 + 1) + 3*4

= 2(1/8) - 4 + 12

= 1/4 - 4 + 12

= -15/4 + 12

= -15/4 + 48/4

= 33/4

Therefore, the value of the expression \(2(cos^4 60 + sin^4 30) -(tan^2 60 + cot^2 45) + 3\times sec^2 30 is 33/4.\)

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