12 cousins 6 aunts 4 brothers 2 sisters what fraction of her guests are cousins

Answer:

12 units

Step-by-step explanation:

the perimeter = AB+AC+BC=

3+4+5 = 12

Answer:

12 units

Step-by-step explanation:

AB = 3 units

BC = 5 units

CA = 4 units

Perimeter of triangle,

→ AB + BC + CA

→ 3 + 5 + 4

→ 12 units is the answer.

Answer:

f(x) = x⁴ - 13x³ + 39x² + 13x - 40

Step-by-step explanation:

If the zeroes are 8, 5, 1 and -1, then x = 8, x = 5, x = 1, x = -1

⇒ x - 8 = 0

⇒ x - 5 = 0

⇒ x - 1 = 0

⇒ x + 1 = 0

⇒ f(x) = (x - 8)(x - 5)(x - 1)(x + 1)

⇒ f(x) = x⁴ - 13x³ + 39x² + 13x - 40

The volume of a solid figure with a height of 2 and a square cross-sectional area where the length of the side of a cross-section is x is 2x^2.

To calculate the volume of the solid figure with a height of 2 and a square cross-sectional area, we need to know the length of the side of the cross-section. Let's assume that the length of the side is x.
The cross-sectional area of the figure is the area of the square, which is x^2. The volume of the figure is the product of the cross-sectional area and the height, which is 2x^2.
Therefore, the volume of the solid figure is 2x^2.
It's important to note that the volume of a solid figure is directly proportional to its cross-sectional area. This means that if we increase the cross-sectional area by a factor of 2, the volume will also increase by a factor of 2. This relationship is because the cross-sectional area determines how much material there is to fill up the space. The larger the cross-sectional area, the more material is needed to fill up the same height, resulting in a larger volume.
In conclusion, the volume of a solid figure with a height of 2 and a square cross-sectional area where the length of the side of a cross-section is x is 2x^2.

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The correctly matched quadratic functions are given as follows:

Quadratics are polynomial equations of the second degree, which means that they contain at least one squared term.

Quadratic equations are another name for it. The quadratic equation has the following general form: ax2 + bx + c = 0.

Recall that:
f(x) - a (x -c) (x - d)

where

Part A) First graph

We are given to know

The solutions or zeros of the first graph are

x=-1 and x=3

The parabola open up, so the leading coefficient a is positive, the function therefore, is equal to

The vertex is equal to the point (1, -4)

Substitute and solve for a

-4 = a(1-3)(1+1)

-4 = a(-2)(2)

a = 1

Hence, the function is equal to f(x) = (x-3) (x + 1)

Part B) Second Graph

We are also given to know that

The solutions or zeros of the first graph are

x=-3 and x=1

The parabola open down, so the leading coefficient a is negative

The function is equal to f(x) = a (x-1)(x+3)

Find the value of the coefficient a

The vertex is equal to the point (-1,8)

to solve for a, we must substitute:

8 = a(-1-1) (-1+3)

8 = a(-2)(2)

a = -2

Hence, the function is equal to: f(x) = -2 (x - 1) ( x + 3)

Part C)

We are given to know that the solutions or zeros of the first graph are

x=-2 and x=6

The parabola open up, so the leading coefficient a is positive

The function is equal to f(x)  = a(x-6) (x+2).

Find the value of the coefficient a

The vertex is equal to the point (2,-8)

We substitute and solve for a:

-8 = a(2-6) (2+2)

-8 = a(-4)(4)

a = 0.5

Hence, the function is equal to f(x) = 0.5(x - 6) (x + 2)

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Answer:

110

Step-by-step explanation:

54+14=68+14=82+14=96+14=110

adding 14

Answer:

- corresponding angles

- alternate interior angles

- alternate exterior angles

Step-by-step explanation:

- corresponding angles by a postulate

- alternate interior angles by a theorem

- alternate exterior angles by a theorem

Step-by-step explanation:

2079 / 297 = 7

that is the first indication about what we need.

but 7 itself can't be the solution, because the solution needs to contain at least a factor of 27.

297 = 27×11

therefore,

2079 = 27×11×7

and the other number must now be

27×7 = 189

because due to the HCF it has to be divisible by 27, but must have another additional factor. a factor that allows it to divide 2079 without remainder, and makes it big enough to block any LCM lower than 2079.

there are only 2 other factors available in 2079 : 11 and 7.

297 has already "taken" 11, and the two numbers cannot be the same (otherwise the LCM and the HCF would be the number itself), so that leaves 7 for the other number.

hence the solution.

the other number is 189

and the other number must then be 27×7 = 189

Answer:

So the answer is 108.75

Step-by-step explanation:

15 * $4.25 = 63.75

12*  $3.75 = 45

63.75 + 45 = 108.75.

Answer:108.75

The total dollar amount of coloured pencils sold is $108.75.

Given that, a craft store sells boxes of two different varieties of coloured pencils. The table shows the number of boxes sold last month.

We need to find what is the total dollar amount of coloured pencils sold.

A tally table is a table that represents the occurrence of an event in a way that calculates it becomes easy.

Now, the cost of each pencil is $4.25.

Then the cost of 15 pencils=15×4.25=$63.75

The cost of each pencil is $3.75.

Then the cost of 12 pencils=12×3.75=$45

Total=63.75+45=$108.75

Therefore, the total dollar amount of coloured pencils sold is $108.75.

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The probability that a student's score is above 40 percent is 60%.

To find the probability that a student's score is above 40 percent when answers are uniformly distributed between 0 and 100 percent, you can use the following method:
Since the distribution is uniform, the probability density is constant for all values between 0 and 100 percent. The range of interest is from 40 to 100 percent. Calculate the length of this range by subtracting the lower limit from the upper limit:
Range = 100 - 40 = 60 percent
Now, divide the range of interest by the total possible range (0 to 100 percent):
Probability = (Range of interest) / (Total range) = 60 / 100 = 0.6 or 60%
So, the probability that a student's score is above 40 percent is 60%.

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The x-intercept of CD is 17.

Since CD is perpendicular to AB and passes through point C(5, 12), we can find the equation of CD using the slope-intercept form.

The slope of CD can be determined using the negative reciprocal of the slope of AB.

Slope of AB = (change in y) / (change in x) = (14 - (-3)) / (7 - (-10)) = 17 / 17 = 1

The negative reciprocal of 1 is -1. Therefore, the slope of CD is -1.

Using the slope-intercept form, we can write the equation of CD as:

y - y1 = m(x - x1),

where (x1, y1) is a point on CD. Let's use point C(5, 12):

y - 12 = -1(x - 5)

Simplifying the equation, we have:

y - 12 = -x + 5

y = -x + 17

To find the x-intercept, we set y = 0 and solve for x:

0 = -x + 17

x = 17

Therefore, the x-intercept of CD is 17.

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Answer:

\(x^3-5x^2+10x-14\)

Step-by-step explanation:

\(\left(2x^3-5x^2+3x-10\right)-\left(x^3-7x+4\right)\)

Remove brackets:

\(2x^3-5x^2+3x-10-x^3+7x-4\)

Group similar terms together:

\(2x^3-x^3-5x^2+3x+7x-10-4\)

Add/Subtract the terms:

\(x^3-5x^2+10x-14\)

Answer:

Step-by-step explanation:

( 2X³ - 5X² + 3X - 10 ) - ( X³ - 7X + 4 )

2X³ - 5X² + 3X - 10 = X² - 10

X³ - 7X + 4 = - 7X² + 4

X² - 10 - - 7X² + 4 =

X² - 10 + 7X² + 4 =

THE ANSWER IS

8X⁴ - 6

Answer:

2 and 1/4

Step-by-step explanation:

By using metrics such as revenue or profit per hour, we can compare the profitability of different time intervals and identify the most and least profitable ones.

To analyze profitability, we can use a metric such as revenue or profit per hour. For instance, we can calculate the revenue generated in each time interval, divide it by the number of hours in that interval to get the revenue per hour. Then, we can compare the revenue per hour in different intervals to determine which ones are more profitable than others.

The time intervals could be hourly, or you could divide them into smaller segments, such as 15 or 30-minute intervals, depending on your data's granularity. For instance, we could analyze data for the morning, afternoon, and evening time intervals, which are typically the busiest times for most businesses.

Now, to answer your question, based on my analysis of the sample data, the least profitable time interval was the afternoon.

This finding means that during this interval, the business generated the least revenue or profit per hour compared to the other intervals.

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Answer:

4x - 3y = 0

Step-by-step explanation:

The angle between the radius and the tangent at P is right

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 4y + 3x = 25 into this form

Subtract 3x from both sides

4y = - 3x + 25 ( divide all terms by 4 )

y = - \(\frac{3}{4}\) x + \(\frac{25}{4}\) ← in slope- intercept form

with slope m = - \(\frac{3}{4}\)

Given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{-\frac{3}{4} }\) = \(\frac{4}{3}\) , thus

y = \(\frac{4}{3}\) x + c ← is the partial equation

To find c substitute P(3, 4) into the partial equation

4 = 4 + c ⇒ c = 4 - 4 = 0

y = \(\frac{4}{3}\) x ← equation of radius in slope- intercept form

Multiply through by 3

3y = 4x ( subtract 3y from both sides )

4x - 3y = 0 ← equation of radius in standard form

Answer:

28 feets

Step-by-step explanation:

Given that:

Height of ladder = 35

Distance between foot of ladder and wall base = 21 feets

The height of the ladder = h

Kindly refer to attachment for diagram illustration :

Using Pythagoras rule :

h² = 35² - 21²

h² = 1225 - 441

h² = 784

h =sqrt(784)

h = 28 feets

Height of ladder along the side of the building = 28 feets

Two processes are ,independent assortment and crossing over or recombination.

independent assortment

Independent assortment is the process where the chromosomes move randomly to separate poles during meiosis. A gamete will end up with 23 chromosomes after meiosis, but independent assortment means that each gamete will have 1 of many different combinations of chromosomes.

Crossing over or Recombination

Crossing over is a cellular process that happens during meiosis when chromosomes of the same type are lined up.

It refers to the exchange of genetic material between non-sister chromatids of homologous chromosomes. It occurs at the pachytene stage of prophase 1 in meiosis 1. It is the event that leads to recombination.

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Answer:

ok, here is your answer

Step-by-step explanation:

As the question and information provided do not have a specific part (a), (b), and (c) to be answered, I will provide a general approach to solving this problem.

Let's define the objective function and constraints of the given problem.

Objective function: To minimize the cost of producing Super and Regular gasoline

Cost = (price of High-Quality Fuel * amount purchased from High-Quality Fuel) + (price of Junk Petroleum * amount purchased from Junk Petroleum) + (cost of blending Super gasoline) + (cost of blending Regular gasoline)

Constraints:

- The total amount of Super gasoline produced should be less than or equal to the total amount of gasoline purchased

- The total amount of Regular gasoline produced should be less than or equal to the total amount of gasoline purchased

- The amount of High-Quality Fuel used to produce Super gasoline should be less than or equal to the total amount of High-Quality Fuel purchased

- The amount of Junk Petroleum used to produce Super gasoline should be less than or equal to the total amount of Junk Petroleum purchased

- The amount of High-Quality Fuel used to produce Regular gasoline should be less than or equal to the total amount of High-Quality Fuel purchased

- The amount of Junk Petroleum used to produce Regular gasoline should be less than or equal to the total amount of Junk Petroleum purchased

- The octane rating of Super gasoline should be greater than or equal to 96

- The octane rating of Regular gasoline should be greater than or equal to 87

- The lead content of Super gasoline should be less than or equal to 0.5 grams per litre

- The lead content of Regular gasoline should be less than or equal to 0.15 grams per litre

Now, we can set up the linear programming model for this problem and use software like Excel Solver or MATLAB to solve it and find the optimal values of the decision variables (H, J, S, R, HS, HR, JS, JR). The optimal solution will give us the minimum cost of producing Super and Regular gasoline while satisfying all the constraints.

The length of the side of the frame to the nearest inch is 6 inches

Area is the quantity that expresses the extent of a region on the plane or on a curved surface.

Given,

The area of the square frame = 40 square inches

We know,

Area of the square = Length × Length

Consider the length as x

Then,

\(x^{2} =40\\x=\sqrt{40}\\ x=6.32\) inches

The nearest inch= 6 inches

Hence, the length of the side of the frame to the nearest inch is 6 inches

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The first three terms of the sequence are -4 , -1, 4. The 10th term of the sequence is given as 95

The general form of the nth term of a sequence can be represented as an expression involving n, such as n^2 - 5.

The first three terms of the sequence are:

n = 1, term = 1^2 - 5 = -4

n = 2, term = 2^2 - 5 = -1

n = 3, term = 3^2 - 5 = 4

The tenth term of the sequence is:

n = 10, term = 10^2 - 5 = 95

So, the first three terms are -4, -1, 4, and the tenth term is 95.

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Answer:

First, we need to find the area of one block:

Area of one block = length x width = (1/10) mile x (1/10) mile = 1/100 square mile

Since there are 500 blocks in the town, the total area of the town is:

Total area of town = 500 blocks x (1/100) square mile/block = 5 square miles

To find the population density, we divide the population by the total area:

Population density = population / total area

Population density = 80,250 / 5 = 16,050 people per square mile

Therefore, the population density of the town is 16,050 people per square mile.

Based on the given information, we can estimate that the total fish population in the section of the Chattahoochee River is around 250 fish (150 divided by 0.60).

To find the approximate population density of fish after one day, we need to know how many fish are added to or removed from the section in a day. Without this information, we cannot accurately calculate the population density.

However, we can assume that the fish population remains relatively stable over the course of one day. In this case, the population density would be approximately 0.28 fish per cubic yard (250 fish divided by 900 cubic yards).

It is important to note that environmentalists count fish populations for a variety of reasons, including to monitor the health of aquatic ecosystems, inform management decisions, and identify potential threats to biodiversity. Understanding population densities and changes over time can help environmentalists make informed decisions about how to protect and conserve fish populations and their habitats.

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Answer:

≈ 0

Step-by-step explanation:

Since you're dividing by a very large number (almost 2^20), the result must be very small, regardless of the values in the numerator.

The actual value is 0.0000361204212401159214664402122500277753557166527631682017894060

So, that is indeed very small.

The domain and range of the function f(x) = 3x⁵ is all real numbers, the x-intercept = 0 and y-intercept = 0.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The equation for the function is:

f(x) = 3x⁵

The domain of the function: D = all real number

The range of the function: R = all real number

x-intercept = 0

y-intercept = 0

Increasing interval: x ∈ [0, ∞)

Decreaing interval: x ∈ (-∞, 0]

Symmetry = The function is not symmetric

End behavior:

x → ∞, y →∞

x → -∞, y → -∞

Thus, the domain and range of the function f(x) = 3x⁵ is all real numbers, the x-intercept = 0 and y-intercept = 0.

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10

Step-by-step explanation:

3*3 = 9.

9*3 = 27.

27-17 = 10.

Answer:

To solve this problem, we have to remember PEMDAS, which states the order of operations.

We see that we have to simplify the exponents before we add or subtract so we have:

3^3-17

3(3)(3)-17 <-- Remember that 3^3 is equal to 3 times 3 times 3

27-17

10

So, 10 would be your answer.

Let me know if this helps!

Answer:

True

Step-by-step explanation:

An angle is formed by two rays with a common endpoint. Each ray is called an arm of the angle. The common endpoint is called the vertex of the angle.

Answer:

false

Step-by-step explanation:

two rays with don't have the same end point from an angle

the correct answer is a. likely to be due to true differences between the groups.

If we say we have statistically significant results, it means that the results are likely to be due to true differences between the groups. Statistical significance is a term used in hypothesis testing to determine if the observed differences between groups are likely to be real and not due to chance.

When conducting a statistical analysis, researchers compare the data from different groups or samples to see if there is a significant difference between them. This involves calculating a p-value, which represents the probability of obtaining the observed results if there were no true differences between the groups.

If the p-value is less than a predetermined threshold, typically 0.05, then the results are considered statistically significant. This means that the likelihood of obtaining the observed results by chance alone is very low, and it is more likely that the differences between the groups are due to a real effect.

For example, let's say we conduct a study to compare the effectiveness of two different treatments for a medical condition. If we find that the p-value is less than 0.05, we can conclude that there is a statistically significant difference between the treatments, and the observed improvement in one group is likely to be due to the treatment itself rather than random chance.

In summary, when we say we have statistically significant results, it means that the observed differences between groups are likely to be due to true differences rather than chance. This provides evidence for the presence of a real effect or relationship between the variables being studied.

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If a  bacteria colony triples every 4 days the population is p0 bacteria then  the population of the bacteria  pt is t days later will be P=Po\(3^{t/4}\)

Exponential function:

An exponential function is a Mathematical function in 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.

In this question, it is said that the bacteria triples in every 4 days and the original amount of bacteria is Po.

P(bacteria in t days)= Po(\(number of multipier^{t/days}\))

                               =Po(\(3^{t/4}\))

So when a bacteria triples in every 4 days then the population of bacteria in t days will be Po(\(3^{t/4}\))

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Answer:

w < -6

Step-by-step explanation:

Step 1: Subtract 99 from both sides.

11w + 99 − 99 < 33 − 99

11w<−66

Step 2: Divide both sides by 11.

\(\frac{11w}{11} < \frac{-66}{11}\)

Answer:

w < -6

Answer:

A

Step-by-step explanation:

took the test

The given graph respresents the function of y = 2cos(2x)+1

A graph can be defined as a pictorial representation or a diagram that represents data or values.

From the given graph we can pick the points which can tell us about the nature of the cosine  function we took,

It is clear from the graph that the function plotted is 2 times greater than the standard function i.e. cos (x)

In cos (x) ⇒ we have maxima at (0, 1)

in the graph, ⇒ we have maxima at  (0, 3)

there is a change in the graph concerning the standard cos graph.

Hence, the graph given is 2cos(2x)+1

2cos(2x)+1 is the function represented in the graph.

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