express 132 base 6 as a number in base five​

Answer:

B) 6

Step-by-step explanation:

Let the number be x

Product of 6 and square of number plue 15 : (6x²) + 15

Coefficient of x² = 6

Answer: 1/8

Step-by-step explanation:

First make the bottom half the same:

3/4*2/2=6/8

We don’t need to change the first portion since they have a common factor

7/8-6/8=1/8

a. The graph represents a proportional relationship.

b. The graph does not represent a proportional relationship.

c. The graph does not represent a proportional relationship.

d. The graph represents a proportional relationship.

A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable exists.

The equation that defines the proportional relationship is a linear function with slope k and intercept zero presented as follows:

y = kx.

Hence graphs a and d represent proportional relationship, as they have intercepts at the origin.

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Answer:

Step-by-step explanation:

I'll use y for quantity and x for price [love my x and y] and rewrite the demand and supply functions:

Demand:    y=1204−11x

Supply:       y = -3 + 6x

==

We want to know the equilibrium price and quantity.  The quantities purchased and sold would be equal to the quantities supplied:

  1204−11x = -3 + 6x

-17x = - 1207

 x = 71  The price of a widget is 71 units ($, €,£,¥, etc.) at equilibrium

A price of 71 would lead to a demand and supply of:

y = 1204−11x

y = 1204−11(71)

y = 423 Widgets

We can also plot this to find the point (71,423).  See the attachment.

At this point, I'm uncertain how to answer the "producer surplus" and "unmet demand" at equilibrium.  This is what I did, so please judge if it is correct.

The demand line, y=1204−11x, tells us that if the price were 0, the demand would be 1204, which I'll assume in the maximum, since it is stipulated that x > 0  (I imagine it may no longer be a straight line when the price goes into negative territory.  I'd be the first in line to accept a widget and $5 if they were priced at -$5).

At equilibrium, therefore, we would still have an unmet demand of (1204 - 423) or 781 widgets that customers wanted, but wouldn't pay the price.

It seems to me that this would also be the unmet demand:  Product that could have been sold, but wasn't, due to the price.  I'm unsure, however.

The value of x is for the given equation is 7/2.

An algebraic expression (or variable expression) is a term that has been combined with addition, subtraction, multiplication, and division operations.

To simplify an algebraic expression, we simply combine similar terms. As a result, variables with similar characteristics will be combined. The same abilities will now be created by combining similar variables.

The given equation is 4x-(10-x) =15/2.

4x - 10 + x + 15/2

5x - 10 = 15/2

Dividing both sides by 5 to obtain:

x - 2 = 3/2

Multiply both sides by 2 to get:

2x - 4 = 3

2x = 3 + 4
x = 7/2

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Answer: C. 752

Step-by-step explanation: Just took the Sequences and Series Unit Test

The sum of the arithmetic value sequence is S = 752

An arithmetic progression is a sequence of numbers in which each term is derived from the preceding term by adding or subtracting a fixed number called the common difference "d"

The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on. Thus nth term of an AP series is Tn = a + (n - 1) d, where Tₙ = nth term and a = first term. Here d = common difference = Tₙ - Tₙ₋₁

Sum of first n terms of an AP: Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]

Given data ,

Let the sum of the arithmetic sequence be S

Let the number of terms in the AP = 16

Now , the value of AP is

A = 16∑ ( 6t - 4 )

So , when t = 1

a₁ = 6 - 4 = 2

when t = 2

a₂ = 12 - 4 = 8

And , the common difference of the AP , d = 8 - 2 = 6

And , Sum of first n terms of an AP: Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]

So , when n = 16

S₁₆ = ( 16/2 ) [ 2 ( 2 ) + ( 15 ) 6 ]

S₁₆ = ( 8 ) [ 4 + 90 ]

S₁₆ = 8 x 94

S₁₆ = 752

Hence , the sum of AP is 752

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Answer:

\(y=5x^2-80x+324\)

Step-by-step explanation:

Area of the path is 138sq.m

As shown in the given figure. We have been given that there is rectangular hall of

             length = 25m     and     breadth = 18m          

A path is constructed around the hall which has

                               width = 1.5m

We have been asked to find the area of the path constructed.

To find that we will first find the area of the hall.

Area of the hall = L * B square meter     (1)

                       where, L = length

                                    B = breadth

Now putting the values of L and B  in equation (1) we get

        Area of the hall = 25 * 18sq.meter

                                   = 450sq.m

Now we will find the area of the path.

Length of the hall including the path = 25 + 1.5 + 1.5 m

                                                             = 28m

Breadth of the hall including the path = 18 + 1.5 + 1.5m

                                                              = 21m

Area of the hall with path = L * B sq.m

                                          = 28 * 21sq.m

                                          = 588sq.m

Therefore, formula to find the area of the path = (Area of the hall including the path ) - (Area of the hall)

Now putting the corresponding values, we get

  Area of the path = 588 - 450sq.m

                               = 138sq.m

Hence area of the path is 138sq.m

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Answer: (a) 13 (b) 1

Step-by-step explanation: The absolute value of -6 is 6. That equal 6 plus 7 which is 13. In the second equation, add -6 and 7 first. That is 1 and the absolute value of 1 is 1.

Answer:

A.13 b.-1

Step-by-step explanation:

a 6+7=13

b 6- -7=-1

Answer:

in quadratic formula my answer came out to -2±2√7/3

Step-by-step explanation:

The percent decrease in total principal and interest paid between a 30-year term mortgage and a 15-year mortgage with a principal balance of $484,500.00 and a 6.5% APR is 31.0%. (Option A)

To calculate the  percent decrease, we can use the following formula.

Percent decrease = ( (30-year factor -   15-year factor) / 30-year factor) x 100

Substituting the values from the chart.  

= (($ 6.65 - $8.71) / $6.65) x 100

= ( -$ 2.06 / $6.65) * 100

= -0.309 *  100

Percent decrease ≈ - 30.9 %

Since the question asks for the percent decrease as a positive value, we take the absolute value of the result which is

Percent decrease ≈ 31%

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The perimeter of the given window is 48 centimeter.

From the given figure,

Perimeter of window = 2(Length+Breadth)

= 2(10+14)

= 2×24

= 48 centimeter

Perimeter of house = 2(Length+Breadth)

= 2(37+35)

= 2×72

= 144 centimeter

Perimeter of roof = 2(Length+Breadth)

= 2(37+5)

= 2×42

= 84 centimeter

Therefore, the perimeter of the given window is 48 centimeter.

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Compared to other halogens, astatine is rare and highly radioactive due to its unstable nuclei.

As a member of Group 17 (also known as the halogen group or VIIA), astatine shares several characteristics with other halogens such as fluorine, chlorine, bromine, and iodine. These characteristics include:

However, compared to other halogens, astatine is rare and highly radioactive due to its unstable nuclei. It has no stable isotopes and its properties have not been well-studied due to its scarcity and short half-life.

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The probability that exactly 11 of them use their smartphones in meetings or classes is 3.89%

Probability is the likelihood of something occurring. This branch of mathematics studies the nature of chance. It is expressed as a number between 0 and 1. Probability has been brought to mathematics in order to foresee the potential of events. Probability can be defined as the degree of likely that something will occur. The probability that the outcomes of a random experiment will be as expected can be calculated using this fundamental theory of probability, which is also applied to the probability distribution. To establish the probability that a particular event will occur, we must first determine the total number of choices.

x = 11

n= 15

P =48%

=0.48

P(x=11)=\(15C_{11} (0.48)^{11} (1-0.48)^{4}\)

=1365(0.0003116403)(0.09150625)

=0.0389

=3.89%

The probability that exactly 11 of them use their smartphones in meetings or classes is 3.89%

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Answer:

2

Step-by-step explanation:

2

Answer:

The point that represents the outlier is “B”

Step-by-step explanation:

I know it because I just did it and got it right. Hope it helps!

Answer:

B

Step-by-step explanation:

I know because i got it correct

Using p for price and q for quantity, the demand function is; q = -3/2p + 1590

Given that at;

The monthly demand at a price of $900 = 240

The monthly demand at a price of $850 = 315

We are told that the system is a linear function. Therefore demand function would be in the form of slope intercept form as;

q = mp + c

Where;

q = quantity demanded

p = price

m = slope

c = y-intercept

At a price of $900 with a monthly demand of 240 gives the equation;

240 = 900m + c  ---(1)

At a price of $850 with a monthly demand of 315 gives the equation;

315 = 850m+ c  ------(2)

Subtracting eqn 2 from 1 gives;

-75 = 50m

m = -75/50

m = -3/2

Substituting m = -3/2 into equation 1;

240= -3/2(900) + c

c = 240 + 3/2(900)

c = 1590

Therefore the demand function can be given as; substituting m and c into equation 5, we have; q = -3/2p + 1590

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Answer:

1. 11 married females because out of the 19 married, only 8 had more than 15 years of service and 19 - 8 = 11.

2. 10 married males because of out the 18 married with more than 15 years of service, 8 were females and 18 - 8 = 10.

3. 9 single females because out of the 17 with more than 15 years of service, 8 were married and 17 - 8 = 9.

4. 8 married females because it literally says, "8 married female with more than 15 years of service".

gotta go hope this helps sry

The value of x in this problem, considering the intersecting chords, is given as follows:

x = 10.

A chord of a circle is a straight line segment that connects two points on the circle, that is, it is a line segment whose endpoints are on the circumference of a circle.

When two chords intersect each other, then the products of the measures of the segments of the chords are equal.

Hence the value of x is obtained as follows:

12x = 15 x 8

12x = 120

x = 10.

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Answer:

Let d = the number of dimes. Then the number of quarters is (40-d). The dimes contribute 10d cents to the total. The quarters contribute 25*(40-d) cents to the total. The "value" equation is 10d + 25*(40-d) = 760. Simplify and solve for x: 10d + 1000 - 25d = 760, or -15d = 1000-660 ---> -15d = -240. d =  = 16. Answer. 16 dimes and 40-16 = 24 quarters. by ikleyn(36377)

Step-by-step explanation:

Let d = the number of dimes. Then the number of quarters is (40-d). The dimes contribute 10d cents to the total. The quarters contribute 25*(40-d) cents to the total. The "value" equation is 10d + 25*(40-d) = 760. Simplify and solve for x: 10d + 1000 - 25d = 760, or -15d = 1000-660 ---> -15d = -240. d =  = 16. Answer. 16 dimes and 40-16 = 24 quarters. by ikleyn(36377)

Answer:

x=-1

Step-by-step explanation:

4x+35x-15=9x-45
39x-15=9x-45
39x-9x=-45+15
30=+-30
x=-1

Answer:

\( \sf \: x = - 1\)

Step-by-step explanation:

Given equation,

→ 4x + 5(7x - 3) = 9(x - 5)

Now the value of x will be,

→ 4x + 5(7x - 3) = 9(x - 5)

→ 4x + 35x - 15 = 9x - 45

→ 39x - 15 = 9x - 45

→ 39x - 9x = -45 + 15

→ 30x = -30

→ x = -30 ÷ 30

→ [ x = -1 ]

Hence, the value of x is -1.

The model for representing the ratio of the number of orange and green rolls are  \(\dfrac{3}{2}\).

A model that shows the number of orange and green streamers needed to decorate 3 dorm rooms will be 3O=2G

The ratio is defined as the representation of the one number with respect to the other number. or one number is how many times to the other number.

A model that represents the ratio of different colored streamers.

\(\dfrac{O}{G}=\dfrac{3}{2}\)

A model that shows the number of orange and green streamers needed to decorate 3 dorm rooms.

D=3O   and  D=2G

3O=2G

Hence the models are  \(\dfrac{O}{G}=\dfrac{3}{2}\)  and  3O=2G.

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Answer:

Whole numbers, repeating decimals, and decimals that never end

Step-by-step explanation:

The slope is constant because the graph shows a line

The graphs of the two equations have a point of intersection, and the tangent lines at that point are perpendicular to each other. This can be shown by taking the derivatives of both equations and setting them equal to each other, which results in a perpendicular line equation.

To show that the graphs of the two equations have tangent lines that are perpendicular to each other at their point of intersection, we can take the derivatives of both equations, which gives us the equations of the tangent lines. We can then set the equations equal to each other and solve for the point of intersection. This will result in an equation for the perpendicular line, which is the equation of the line that passes through the point of intersection and is perpendicular to both tangent lines. We can then verify that the two tangent lines are perpendicular to each other at the point of intersection by calculating the slopes of both lines and showing that they are negative reciprocals of each other.

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Answer:

B. 3x + 150 = 300

x = 50

The maximum number of guests that he can invite is 50.

Step-by-step explanation:

x will be equal to the amount of people going to the party. Since for food it will cost $3 per person, it will be 3 times the amount of people coming to the party for the cost of food (3x.) Since the bouncy caste costs $150 that will just be added to the cost for food (3x + 150). Since they have a budget of $300 we need to set the equation equal to $300.

To solve this we need to first get all of the variables on one side and to do that we need to subtract 150 from both sides to have 3x = 150. Now, we have to get the x value on its own so we have to divide both sides by 3. Our final answer would be x = 50. The maximum number of guests that he can invite is 50.

let's say "x" is how old he will be in 2016, so in 2010, 6 years earlier, he's 4/5 ths of that age in 2016, or namely in 2010 he's (4/5)x.  Since we know his total age in 2016 is "x", then if we just add 6 more years to (4/5)x, we'll get his age in 2016, or

\(\stackrel{\textit{age in 2010}}{\cfrac{4}{5}x}~~ +~~\stackrel{years}{6}~~ =~~\stackrel{\textit{age in 2016}}{x} \\\\\\ \stackrel{\textit{let's multiply both sides by }\stackrel{LCD}{5}}{5\left( \cfrac{4x}{5}+6 \right)=5(x)}\implies 4x+30=5x\implies \stackrel{\textit{age in 2016}}{\boxed{30=x}} \\\\\\ \stackrel{~\hfill \textit{age in 2010}}{\cfrac{4}{5}(30)\implies \boxed{24}}\)

Answer:

x = 4

Step-by-step explanation:

If line A is parallel to line B, therefore,

9x + 4 = 5x + 20 (alternate interior angles theorem)

Solve for x. Collect like terms together

9x - 5x = -4 + 20

4x = 16

Divide both sides by 4

4x/4 = 16/4

x = 4

Therefore, the value of x that will make lime A parallel to line B is 4