Consider the function in the graph to the right.

y = 45x is the equations can be used to find the number of test tubes, y , in x boxes.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given, There are 135 test tubes in 3 boxes.

Since, Each box has an equal number of test tubes.

Thus,

Test tubes in each box = 135/3

Test tubes in each box = 45

For expression  the number of test tubes, y , in x boxes,

Thus,

In x boxes number of test tubes = 45*x

So,

y = 45x

Therefore, equations can be used to find the number of test tubes, y , in x boxes is y = 45x.

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Yes, there always exists a perfect match with no weak instability.

For part (a), an example of a set of men and women with preference lists for which every perfect matching has a strong instability would be if all members of one gender ranked all members of the opposite gender equally.

This would mean that no matter which pairing was chosen, one member of the pairing would prefer to be with another member.

As for part (b), an example of a set of men and women with preference lists for which every perfect matching has a weak instability would be if some members of one gender ranked all members of the opposite gender equally, while others had a strict preference.

In this case, the members with strict preferences would always have an alternative that was preferred by one or both members of the pairing, leading to weak instability.

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Answer:

Step-by-step explanation:

To solve for the value of x that would make KM ∥ JN, we can use the converse of the side-splitter theorem.

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Answer:

1500

Step-by-step explanation:

Because they are 3 and if everyone pays it will be 1500

well, is three friends so each Nintendo is $500, so that's 3*500 = $1500 total, now let's add the 10% tax to that

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{10\% of 1500}}{\left( \cfrac{10}{100} \right)1500}\implies 150~\hfill \underset{\textit{total for all}}{\stackrel{1500~~ + ~~150}{\text{\LARGE 1650}}}[/tex]

The probability of a single value greater than 134 is given as follows:

P(X > 134) = 0.6844 = 68.44%.

The probability of the sample mean greater than 134 is given as follows:

P(M > 134) = 0.9641 = 96.41%.

The z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is obtained by the rule presented as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The mean and the standard deviation for this problem are given as follows:

[tex]\mu = 155, \sigma = 43.7[/tex]

The probability of a single value above 134 is one subtracted by the p-value of Z when X = 134, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (134 - 155)/43.7

Z = -0.48

Z = -0.48 has a p-value of 0.3156.

Hence:

1 - 0.3156 = 0.6844 = 68.44%.

For the sample of 14, the standard error is given as follows:

[tex]s = \frac{43.7}{\sqrt{14}} = 11.68[/tex]

Hence:

Z = (134 - 155)/11.68

Z = -1.8

Z = -1.8 has a p-value of 0.0359.

Hence:

1 - 0.0359 = 0.9641 = 96.41%.

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This is about slope intercept form of equation. y = 3x + 66

We are told that the equation of the straight line L is x + 3y = 18

Now, from the attached image, we can see that the line crosses the x axis at point B and the y axis at point E. These points are known as intercepts.

The x-intercept is when y = 0 while the y intercept is when x = 0. Thus;

x-intercept;

x + 3(0) = 18

x = 18

y-intercept;

0 + 3y = 18

3y = 18

y = 18/3

y = 6

This means we have two coordinates now which are;

B(18, 0) and E(0, 6)

We are told that AE = EB

From midpoint formula between two points, we can say that coordinate of point E is; (x + 18)/2 , (y + 0)/2

where x and y are coordinates of point A.

Thus; (x + 18)/2 = 0

x + 18 = 0

x = -18

Also, (y + 0)/2 = 6

y + 0 = 6 × 2

y = 12

The coordinates of point A are (-18, 6)

The equation of a line in slope intercept form is; y = mx + c

Thus; x + 3y = 18 gives; y = -(1/3)x + 18

where -1/3 is the slope

Line M passes through A and perpendicular to line L. Thus slope of line M = -1/(-1/3) = 3

Equation of Line M is; y - 12 = 3(x - (-18))

⇒ y - 12 = 3x + 54

⇒ y = 3x + 66

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Correct question:

ABCD is a rectangle. A, E and B are points on the straight line L with equation x + 3y = 18. A and D are points on the straight line M. AE = EB. Find the equation for M in the form y = ax + b where a and b are integers

The difference in length between the two rows is 3 units.

Fraction strips are rectangular pieces (electronic or paper) that represent distinct sections of the same whole. They may be taken apart and manipulated to demonstrate how different portions can be combined to produce the whole or to compare different fractional quantities for equivalence.

Let's assume that each fraction strip has a length of 1 unit. If Kendall puts four 1-unit fraction strips in one row, then the total length of that row would be 4 units. If Kendall puts one 1-unit fraction strip in the row below it, then the total length of that row would be 1 unit.

The difference in length between these two rows would be the length of the top row minus the length of the bottom row. Substituting the values we found, we get:

4 units - 1 unit = 3 units

Therefore, the difference in length between the two rows is 3 units.

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Answer:

15 - 3 ?

Step-by-step explanation:

We will start by doing the equation on the left:

5(x-3)

Since we will substitute X for 6 the updated equation will be:

5(6-3)

We will now solve it using bodmas so it will be 6-3 which is 3. Then 3 multiplied by 5 is 15.

We will start by doing the equation on the right:

x + 13

Since we will substitute X for 6 the updated equation will be:

6 + 13

So now to simplify it all it will be:

15x = 6 + 13

The factor by which g(x) grows over the interval from 14 to 16 is 64/56 = 1.1429.

An interval is a specific range of values within a set of data. It is the difference between the maximum and minimum values of the data set, and is used to measure the spread of the data. Intervals can be used in a variety of ways, from measuring the distribution of data over time to help identify trends in the data. Intervals can also be used to find outliers or unusually high or low values in a data set. Interval data is often used in statistics to measure the variability of data.

The factor by which g(x) grows over the interval from 14 to 16 can be determined by dividing the value of g(16) by the value of g(14).
The value of g(14) is 56, and the value of g(16) is 64.
Therefore, the factor by which g(x) grows over the interval from 14 to 16 is 64/56 = 1.1429.

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The time is spent on modern dance and hip-hop is, 17/24 hours.

A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.

We have to given that;

There are 24 hours of dance lessons during the dance convention.

And, 1/3 of the time is spent on modern dance, 3/8 of the time is spent on hip hop.

Hence, The time is spent on modern dance and hip-hop is,

⇒ 1/3 + 3/8

⇒ 8/24 + 9/24

⇒ 17/24 hours

Thus, The time is spent on modern dance and hip-hop is, 17/24 hours

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Answer:

y = 2 [tex](3)^{x}[/tex]

Step-by-step explanation:

the standard form of an exponential function is

y = a [tex]b^{x}[/tex]

to find a and b use ordered pairs from the table

using (1, 6 )

6 = a[tex]b^{1}[/tex] , that is

6 = ab → (1)

using (3, 54 )

54 = ab³ → (2)

divide (2) by (1) on both sides

[tex]\frac{54}{6}[/tex] = [tex]\frac{ab^3}{ab}[/tex] , that is

b² = 9 ( take square root of both sides )

b = [tex]\sqrt{9}[/tex] = 3

substitute b = 3 into (1) and solve for a

6 = 3a ( divide both sides b 3 )

2 = a

then the exponential function for the table is

y = 2 [tex](3)^{x}[/tex]

The exact values of the six trigonometric functions of the angle:

sin θ =  -3/ [tex]\sqrt{13}[/tex]

cos θ =  2/ [tex]\sqrt{13}[/tex]

tan θ =  -3/2

csc θ =  - [tex]\sqrt{13}[/tex] /3

sec θ =  [tex]\sqrt{13}[/tex] / 2

cot θ = -2/3

Let us assume that θ be an angle formed with postive x-axis.

Let (x, y) = (4, -6)

This point is on the terminal side of an angle in standard position.

r = [tex]\sqrt{x^2+y^2}[/tex]

r = [tex]\sqrt{4^2+(-6)^2}[/tex]

r = [tex]2\sqrt{13}[/tex]

Now we find the value of trigonometric functions.

We know that 1) sin θ = y/r

sin θ = (-6) /  [tex]2\sqrt{13}[/tex]

sin θ = -3/ [tex]\sqrt{13}[/tex]

2) cos θ = x/r

cos θ = 4 /  [tex]2\sqrt{13}[/tex]

cos θ = 2/ [tex]\sqrt{13}[/tex]

3) tan θ = y/x

tan θ = (-6) / 4

tan θ = -3/ 2

4) csc θ = 1/( sin θ)

csc θ =1/(-3/ [tex]\sqrt{13}[/tex])

csc θ = -[tex]\sqrt{13}[/tex] / 3

5) sec θ = 1/( cos θ)

sec θ =1/(2/ [tex]\sqrt{13}[/tex])

sec θ = [tex]\sqrt{13}[/tex] / 2

6)  cot θ = 1/( tan θ)

cot θ =1/(-3/2)

cot θ = -2 / 3

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Answer:

The large box contains 18.5 kg of fruit.

The small box contains 6.75 kg of fruit.

Step-by-step explanation:

We know that 3L + 2S = 69 and 5L + 6S = 133.

In order to solve for one variable, we can multiply the first equation by 3 so we can eliminate S.

The new equations are 9L + 6S = 207 and 5L + 6S = 133.

Now, we can subtract the equations from each other to solve for one variable, L.

We now get 4L = 74, and when we divide 4 from both sides, we get L = 18.5. This means that a large box has 18.5 kg of fruit.

Now that we know what the large box contains, we can plug the answer into one of the original equations to solve for S.

We now get 3(18.5) + 2S = 69, which we can solve by distributing to get 55.5 + 2S = 69, subtracting 55.5 from both sides to get 2S = 13.5, and then dividing 2 from both sides to get S = 6.75.

We now know both boxes, with the large containing 18.5 kg and the small containing 6.75 kg.

S is not a function.

A function is a set of ordered pairs where each input (x-value) corresponds to one and only one output (y-value). In this set, S, there are multiple inputs (a, c, d) that correspond to the same output (3). This means that the input 'a' is not uniquely related to output '5' and 'b' is not uniquely related to output '3', etc. Therefore, S does not qualify as a function.

Answer:

The answer is most likely A.

The reason why, is because since the earning in 6 hours is $94.50, so the hourly wage would be, $15.75 because:

94.50/6 = 15.75

Graph B, for the first hour, the amount of dollars is correct, but in 11 hours, it says 25.75, which is not correct so Graph B cannot be it.

Graph C, shows that at hour 1, that it is 15.75 dollars, but at hour 2 16.75, as well with hour 3, 17.75. The graph is showing an increase of 1 dollar per hour, which is not correct so graph C is not it.

Graph D shows that at hour 6, there is $94.50, which is correct, but at hour 12, its 100.50. This is not true because , the hour has increased by 6, and when it increased by 6, the amount of pay increased by 6 as well, which is not the right way in which you would do so.

Option A is correct!

Step-by-step explanation:

Hope it helps! =D

Answer:
the answer should be A

Step-by-step explanation:

Answer:

69 ways.

Step-by-step explanation:

For exponential function g(x)=10ˣ, the table is given below.

An exponential function is a Mathematical function in the form f (x) = aˣ, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0. The most commonly used exponential function base is the transcendental number e, which is approximately equal to 2.71828.

Exponential Growth

In Exponential Growth, the quantity increases very slowly at first, and then rapidly. The rate of change increases over time. The rate of growth becomes faster as time passes. The rapid growth is meant to be an “exponential increase”. The formula to define the exponential growth is:

y = a ( 1+ r )ˣ

Where r is the growth percentage.

Exponential Decay

In Exponential Decay, the quantity decreases very rapidly at first, and then slowly. The rate of change decreases over time. The rate of change becomes slower as time passes. The rapid growth meant to be an “exponential decrease”. The formula to define the exponential growth is:

y = a ( 1- r )ˣ

Where r is the decay percentage.

Now given function

g(x)=10ˣ

then function g(x-1)=10^(x-1)ˣ⁻¹

So, g(x)/g(x-1)=10*10ˣ⁻¹=10ˣ⁻¹=10

Therefore, the table will be as

 x             g(x)              g(x)/g(x-1)

 2             100                 10

 3               1000              10

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Answer:

below

Step-by-step explanation:

First find the area ( pi r^2) of the endcaps...then multiply by the height

pi r^2 h =  3.14 (5^2)(5) = 392.50 cm^3

The sampling distribution of p is 0.0288 (to 4 decimals).

The sampling distribution of p is a theoretical distribution of the proportion of successes (p) in a sample of a given size, drawn from a population with a known proportion of successes (p). In this case, the proportion of successes is the proportion of complaints involving new car dealers that are resolved, which is given as 0.79 (to 2 decimals).

The standard error of the proportion is given by the formula:

[tex]SE = \sqrt{(p * (1 - p) / n)}[/tex]

where n is the sample size. Plugging in the values, we get:

[tex]SE = \sqrt{(0.79 * (1 - 0.79) / 200)}[/tex] = 0.0288 (to 4 decimals).

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The average slope of the line is 0.5 and the slope represent the steepness of rocket.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The formula to find the slope of a line is slope = (y₂-y₁)/(x₂-x₁).

Given that, a graph of the altitude in kilometers versus the time after launch in seconds.

From the given table we have (190, 150) and (192, 151).

Slope (m) = (151-150)/(192-190)

= 1/2

= 0.5

Hence, the average slope of the line is 0.5 and the slope represent the steepness of rocket.

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The required simplified value of the given root is given as x√7.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Given expression,
= √7x²
= √7 × (x²)¹/²
= x√7

Thus, the required simplified value of the given root is given as x√7.

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Answer:length=16, width=4

Step-by-step explanation:

P=40m

L=4W

P=L+L+W+W

40=4W+4W+W+W

40=10W

W=4

L=4W

L=4(4)

L=16



Answer:

wassup my mf jsbhdhdbsidhdbududbdbdishdbjdudhdbd

Answer:

Step-by-step explanation:

You want the least common multiple (LCM) of {6a²b, 9b²c, 3c²a} and of {4x²y²z², 6x³yz, 12xy²z}.

The LCM of two or more terms is a product that has includes all of the factors of each of the terms. One way to find the LCM is to list the factors of the terms, identify the different ones and the powers of each, then choose the highest power of each of the different factors.

  6a²b — factors are ...

  9b²c — factors are ...

  3c²a — factors are ...

The distinct factors are ...

The product of highest powers is the LCM:

  LCM = 2¹·3²·a²·b²·c² = 18a²b²c²

The distinct factors are ...

The product of the highest powers is ...

  LCM = 2²·3¹·x³·y²·z² = 12x³y²z²

__

Additional comment

Sometimes the process of finding the LCM can be confused with finding the GCF (greatest common factor). The GCF will be the product of the lowest of the powers of the distinct factors. That power may be zero for any given factor in any given term.

For example, in the first set of terms, the factor 2 has a power of 0 in the last two terms. The factor 'a' has a power of zero in the second term; b has a power of 0 in the third term; c has a power of 0 in the first term. Then the GCF is ...

  2⁰·3¹·a⁰·b⁰·c⁰ = 3 . . . . . GCF of {6a²b, 9b²c, 3c²a}

In the second set of terms, 2 has a power of 1 in the 2nd term; 3 has a power of 0 in the 1st term; x, y, z all have powers of 1 in at least one of the terms. Then the GCF is ...

  2¹·3⁰·x¹·y¹·z¹ = 2xyz . . . . . GCF of {4x²y²z², 6x³yz, 12xy²z}

In short, every term must be a factor of the LCM, and the GCF must be a factor of every term.

One way to find the LCM of two terms is to divide their product by their GCF. The process can be repeated to include more terms in the LCM.

Answer:

12q=1200

12q/12=1200/12

q=100

1 quintal has 100 kg. The equation above was to show how to solve it with a variable. Hope this helps!

Step-by-step explanation:

1. The area of triangle ABC = 10 units²

2. The area of triangle DEC = 2.5 units²

3. No

4. Scale factor = 2

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

The figure is given in the question, as shown

As per the question, the required solution would be as:

1. the area of triangle ABC = 1/2 x 5 x 4  = 20/2 = 10 units²

2. the area of triangle DEC = 1/2 x (5/2) x (4/2)  = 20/8 = 2.5 units²

3. No

4. scale factor = 5/(5/2) = 2

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The question seems to be incomplete the missing part has been attached below