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Strait Co. manufactures office furniture. During the most productive month of the year, 3,500 desks were manufactured at a total cost of $83,800. In the month of lowest production, the company made 1,240 desks at a cost of $61,900. Using the high-low method of cost estimation, total fixed costs are

a.$21,900
b.$49,885
c.$61,900
d.$83,800

basically you treat y like a number and not a variable

Answer:

a is 4

b is 2y

c is -10y²+9

discriminant is 4(41y²-36)

Step-by-step explanation:

4x²+2xy-10y²+9=0

rewrite in standard form of a quadratic equation like ax² + bx + c = 0

4x²+2yx-10y²+9=0

basically you treat y like a number and not a variable

a is the number with the x²

right away we know a is 4 because of 4x²

b is the one with x so in this formula b is 2y

c is the number without the x which in this case is -10y²+9

discriminant is

b² - 4ac

(2y)²- (4)(4)(-10y²+9)

4y²-(16)(-10y²+9)

4y²-(16)(-10y²+9)

4y²+160y²-144

164y²-144 =

4(41y²-36)

Answer:

[tex]3^2=x+5[/tex]

Step-by-step explanation:

Given equation:

[tex]\log_3(x+5)=2[/tex]

Method 1

[tex]\textsf{Using the Log law:} \quad \log_ab=c \:\: \Longleftrightarrow \:\: a^c=b[/tex]

[tex]\implies \log_3(x+5)=2[/tex]

[tex]\implies 3^2=x+5[/tex]

Method 2

Make both sides of the equation the index to base 3:

[tex]\implies \log_3(x+5)=2[/tex]

[tex]\implies 3^{\log_3(x+5)}=3^2[/tex]

Apply the log law [tex]a^{\log_ax}=x[/tex] :

[tex]\implies x+5=3^2[/tex]

Swap sides:

[tex]\implies 3^2=x+5[/tex]

Solve for x

Although the question hasn't asked to solve for x, here is the solution:

[tex]\implies 3^2=x+5[/tex]

[tex]\implies 9=x+5[/tex]

[tex]\implies x=9-5[/tex]

[tex]\implies x=4[/tex]

Check

Substitute the found value of x into the original equation:

[tex]x=4 \implies \log_3(4+5)=\log_39=2 \quad \leftarrow\textsf{correct}[/tex]

[tex]\\ \rm\Rrightarrow log_3(x+5)=2[/tex]

[tex]\\ \rm\Rrightarrow x+5=3^2[/tex]

[tex]\\ \rm\Rrightarrow x+5=9[/tex]

[tex]\\ \rm\Rrightarrow x=9-5[/tex]

[tex]\\ \rm\Rrightarrow x=4[/tex]

Answer:

The answer is y = -4x+11

Answer:

B, 54

Step-by-step explanation:

The simplified expression of [tex]\frac{x^3 + (-y)^3}{(x - y}[/tex] is [tex]x^2+xy+y^2[/tex]

Simplify the expression: (x³ + (-y)³) / (x - y)

Do not include parentheses in your answer.

The expression is given as:

[tex]\frac{x^3 + (-y)^3}{(x - y}[/tex]

Open the inner bracket

[tex]\frac{x^3 -y^3}{(x - y}[/tex]

Apply the difference of two cubes to the numerator

[tex]\frac{(x-y)(x^2+xy+y^2)}{(x - y}[/tex]

Cancel out the common factors

[tex]x^2+xy+y^2[/tex]

Hence, the simplified expression of [tex]\frac{x^3 + (-y)^3}{(x - y}[/tex] is [tex]x^2+xy+y^2[/tex]

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Answer:

slope: -1

y-intercept: 6

Step-by-step explanation:

y-intercept is when x is 0 so it's 8 and the slope can be found using the slope formula (y2-y1)/(x2-x1)

(6-8)/(0 - (-2)) = -2/2 = -1

Answer:

x = 4

Step-by-step explanation:

6x - 8 = 16 (add 8 to both sides)

6x = 24 (divide by 6 on both sides)

x = 4

Brainliest, please :)

Step-by-step explanation:

6x=16+8

6x=24

6x/6=24/6

x=4

so the answer is 4

Answer: 189/760

Step-by-step explanation:

The series can be represented in sigma notation as:

[tex]\sum^{18}_{n=1} \frac{1}{n(n+1)(n+2)}[/tex]

We can perform partial fraction decomposition as follows:

[tex]\frac{1}{n(n+1)(n+2)}=\frac{A}{n}+\frac{B}{n+1}+\frac{C}{n+2}\\\\ \implies 1=A(n+1)(n+2)+B(n)(n+2)+C(n)(n+1)[/tex]

If n = 0, then [tex]1=A(0+1)(0+2) \implies A=\frac{1}{2}[/tex]

If n = -1, then [tex]1=B(-1)(-1+2) \longrightarrow B=-1[/tex]

If n = -2, then [tex]1=C(-2)(-2+1) \longrightarrow C=\frac{1}{2}[/tex]

This means the series can be expressed as:

[tex]\sum^{k}_{n=1} \left(\frac{1}{2n}-\frac{1}{n+1}+\frac{1}{2(n+2)} \right)=\frac{k(k+3)}{4(k+1)(k+2)}[/tex]

Substituting in k=18,

[tex]\frac{18(21)}{4(19)(20}=\boxed{\frac{189}{760}}[/tex]

Answer:

answer D    ( if i interpreted your question correctly )

Step-by-step explanation:

Sqrt (c^2)  = √(c^2) = C

Answer:

1.37

Step-by-step explanation:

3^1=3/2=1.5

2^(1/3)=1.26

1.5×1.26=1.89

1.89^(1/2)=1.37

Using the z-distribution, the minimum sample size required by this student is of 385.

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

We want a margin of error of M = 0.05, with no prior estimate, hence [tex]\pi = 0.5[/tex], then we have to solve for n to find the minimum sample size.

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.05 = 1.96\sqrt{\frac{0.5(0.5)}{n}}[/tex]

[tex]0.05\sqrt{n} = 1.96(0.5)[/tex]

[tex]\sqrt{n} = 1.96 \times 10[/tex]

[tex](\sqrt{n})^2 = (1.96 \times 10)^2[/tex]

n = 384.16

Rounding up, the minimum sample size is of 385.

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[tex]\triangleright[/tex]Hii! [tex]\triangleleft[/tex]

     _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _

[tex]\stackrel\star{\rightsquigarrow\circ\boldsymbol{\underbrace{Answer}}}\circ\leftharpoonup[/tex] Equation: [tex]\bullet[/tex] y=43x-3 ✅

[tex]\stackrel\star{\rightsquigarrow\circ\boldsymbol{\underbrace{Explanation}}}\circ\leftharpoonup[/tex]

Do you need to know the equation of the line with a slope of -43 and a y-intercept of (0,-3)? No problem! Luckily, there's a formula to find it! (:

The slope intercept formula, [tex]\boldsymbol{y=mx+c}[/tex], comes in handy when we need to find the equation of a line!

In this formula,

--                                         ↩

This particular question provides us both "m" and "c."

Stickin the values

[tex]\boldsymbol{y=43x+(-3)}[/tex]

Simplify!

[tex]\boldsymbol{y=43x-3}[/tex]

--

Hope that this helped! Best wishes.

[tex]\textsl{Reach far. Aim high. \: Dream big. }[/tex]

--

PS. Please, refer to this link if you want to learn more:

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--

If x∆y = 3x - y², then

5∆1 = 3×5 - 1² = 15 - 1 = 14

and

14∆6 = 3×14 - 6² = 42 - 36 = 6

So (5∆1)∆6 = 6.

Answer:

[tex]12a^5+15a^3b^2-24b^3a^2-30b^5[/tex]

Step-by-step explanation:

(3a³-6b³) (4a² + 5b²) -> Simplify not Multiply

Expand (3a³-6b³) (4a² + 5b²) using the FOIL Method.

Apply the distributive property.

[tex]3a^3(4a^2+5b^2)-6b^3(4a^2+5b^2)[/tex]

[tex]3a^3(4a^2)+3a^3(5b^2)-6b^3(4a^2+5b^2)[/tex]

[tex]3a^3(4a^2)+3a^3(5b^2)-6b^3(4a^2)-6b^3(5b^2)[/tex]

Simplify each term.

Rewrite using the commutative property of multiplication.

[tex]3*4a^3a^2+3a^3(5b^2)-6b^3(4a^2)-6b^3(5b^2)[/tex]

↓

[tex]12a^5+15a^3b^2-24b^3a^2-30b^5[/tex]

Equation Simplified.

---------------------------------------------------------------------------------------

Hope this helped!

Answer: 4.5

Step-by-step explanation:

[tex]\frac{6+3}{2}=\boxed{4.5}[/tex]

We want to find the median for the given density curve.

The value of the median is 4.5. ({3+6)/2}

Let's see how to solve this.

First, for a regular set {x₁, ..., xₙ} we define the median as the middle value.

The difference between a set and a density curve is that the density curve is continuous, so getting the exact middle value can be harder.

Here, we have a constant density curve that goes from 3 to 6.

Because it is constant, the median will just be equal to the mean, thus the median is the average between the two extreme values.

Remember that the average between two numbers a and b is given by:(a + b)/2

So we get: m = (6 + 3)/2 = 4.5

So we can conclude that the value of the median is 4.5, so the correct option is the second one, counting from the top.

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[tex]{\huge \underline{{ \fbox \color{red}{A}}{\fbox \color{green}{n}}{\fbox \color{purple}{s}}{\fbox \color{brown}{w}}{\fbox \color{yellow}{e}}{\fbox \color{gray}{r } }}}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bf \red{ \dfrac{1}{2} + \dfrac{1}{4} = \dfrac{3}{4} }[/tex]

Step by step explanation :-

The only thing you have to do is add the numerator to the denominator, in this case you have to add the first ones from the front, which can be these 2+1/4, which would result in 3/4, and this is called the Commutative Property.

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{ \bf \gray{ \dfrac{1}{2} + \dfrac{1}{4} = \dfrac{1}{4} + \dfrac{1}{2} }}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{ \bf \green{\dfrac{2 + 1}{4} = \dfrac{1 + 2}{4} }}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed {\bf \blue{\dfrac{3}{4} = \dfrac{3}{4}} }[/tex]

Answer :- The answer is 3/4

¿What is commutative property?

It is to change different ways in order of the addends the result would be the same.

Example :-

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed {\bf \blue{\dfrac{a}{b} + \dfrac{c}{d}} = {\dfrac{c}{d} + \dfrac{a}{b}} }[/tex]

I hope I've helped : )

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \: Final \:\: value = \cfrac{3}{4}[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex]\qquad \tt \rightarrow \: \cfrac{1}{2} + \cfrac{1}{4} [/tex]

[ take LCM ]

[tex]\qquad \tt \rightarrow \: \cfrac{2}{4} + \cfrac{1}{4} [/tex]

[tex]\qquad \tt \rightarrow \: \cfrac{2 + 1}{4} [/tex]

[tex]\qquad \tt \rightarrow \: \cfrac{3}{4} [/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Answer:

Angle 1: 55 degrees
Angle 2: 55 degrees
Angle 3: 70 degrees

Step-by-step explanation:

Finding angle 1: We know that in a triangle, all three angles must add up to 180 degrees. In the triangle on the left, 2 of the angle measures are already given to us. Therefore, we can simply do 180 - 40 - 85, thus the measure of angle 1 is 55 degrees.
Finding angle 2: We know that opposite angles are congruent. Therefore, angle 2 and angle 1 have the same measure.
Finding angle 3: Using the same thought process as we used when finding the measure of angle 1, we can subtract the other 2 angles. 180 - 55 - 55 is equal to 70.

Answer:

first, we take the first triangle( the right one), since a triangle is equal to 180 we add 85 and 40 which gives us 125, we then subtract 125 with 180 getting 55 so (1) =55

to find (2) we put 55 the same number as no. (1) because of the property VERTICALLY OPPOSITE ANGLES.

then to find (3) we do the same steps as (1), we add 55 and 55 and subtract by 180. 55+55=110

             =110 - 180

             =70

There u go, please mark me as brainless

Answer:

For plato users, the answer would be letter C.

Step-by-step explanation:

A.

It represents neither a relation nor a function.

B.

It represents a relation only.

C.

It represents both a relation and a function.

D.

It represents a function only.

This equation represents both a relation and a function.

Took the test, hope this helps!

Step-by-step explanation:

The sum of the geometric series will be 1/4. And the sum of the series will be the negative 0.13.

The complete question is attached below.

Let a be the first term and r be the common ratio. Then the sum of the geometric series will be

S = a / (1 – r)     if r < 1

S = a / (r – 1)     if r > 1

The series is given below.

1/16 + 3/64 + 9/256 + 27/1024 ....

Then we have

a = 1/16

r = (3/64) / (1/16) = 3/4

Then the sum of the series will be

S = (1/16) / [1 – (3/4)]

S = (1/16) / (1/4)

S = 1/4

Let [tex]\rm S = (-0.13)^m[/tex], where m = 1

Then the value of S will be

S = (-0.13)¹

S = -0.13

Hence, the sum of the series will be the negative 0.13.

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When faced with an unknown variable in a maths problem, it is advised to find the subject formula and then use it to solve the equation to find the answer.

This refers to the type of variable in a given equation that has to be solved for because its properties or value is not known.

Hence, we can see that when faced with an unknown variable in a given math problem, it is better to find the subject formula, then input the value of this into an equation, to find the value of the variable.

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Answer:

  (b)  0.5431

Step-by-step explanation:

The proportion of adult tickets sold is the ratio of the total number of adult tickets sold to the total number of tickets sold. Those totals are found on the bottom line of the table.

__

  proportion = (adult tickets)/(total tickets) = 126/232 ≈ 0.5431

Approximately 0.5431 of the tickets sold were adult tickets.

Answer:

B) 0.5431

Step-by-step explanation:

edge 2023

The absolute value function that will be wider than the graph of the parent function, f(x) = |x| is (d) f(x) = 9|x|

The parent function is given as:

f(x) =|x|

A wider function would have the following equation

f(x) = k|x|

Where:

k > 0

From the list of options, we have:

f(x) = 9|x|

Hence, the absolute value function that will be wider than the graph of the parent function, f(x) = |x| is (d) f(x) = 9|x|

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Answer:

getting to the point , D.

Step-by-step explanation:

trust

The graph of the linear inequality 2x – 3y < 12 is given below. Then the correct option is A.

The missing options are given below.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The inequality is given below.

2x – 3y < 12

Then the correct graph will be given below.

Then the correct option is A.

More about the inequality link is given below.

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Answer:

A.

Step-by-step explanation:

let me know if you want an explanation :))

Answer:

A

Step-by-step explanation:

The equation of the line with points (2,10) and (0,0) is: y = 5x.

The line given has two points which are stated as:

(2,10) and (0,0).

Find the slope(m):

Slope (m) = change in y / change in x = (10 - 0)/(2 - 0)

Slope (m) = 10/2

Slope (m) = 5

The y-intercept (b) = 0

Substitute m = 5 and b = 0 into y = mx + b

y = 5x + 0

y = 5x

The equation of the line is: y = 5x.

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y equals short dash 2 x minus 1

In other words, y = -2x - 1 is the equation

=========================================================

Explanation:

Slope = m = -2

Point on the line is (x,y) = (1, -3)

Use these three items to find the y intercept b

y = mx+b

-3 = -2*1 + b

-3 = -2 + b

-3+2 = b

-1 = b

b = -1

The slope intercept form of y = mx+b turns into y = -2x-1 after plugging m = -2 and b = -1

Answer:

180

Step-by-step explanation:

Find the LCM of 12, 18, and 20

[tex]12 = 2 \times 2 \times 3[/tex]

[tex]18 = 2 \times 3 \times 3[/tex]

[tex]20 = 2 \times 2 \times 5[/tex]

LCM = 2 × 2 × 3 × 3 × 5 = 180

Answer:

Maybe    9     and 12   ?

Step-by-step explanation:

-6 + 9 = 3  

    then   3 + 9 = 12

           then 12 + 3 = 15      

                 each term is the sum of the two that are before it