What is the perimeter of this
polygon?
A_3 cm
9 cm
C
[?] cm
B 3 cm

The density of an object is the ratio of the mass of the object to its volume. The height of the block of sugar maple is 6cm

The density of an object is the ratio of the mass of the object to its volume. Mathematically;

Density = mass/volume

Given the following

Mass of block = 82.8grams

Density = 0.69g/cm^3

volume = lwh
Volume = 20h

Substitute

0.69 = 82.8/20h
20h = 82.8/0.69
20h = 120

h = 6cm

Hence the height of the block of sugar maple is 6cm

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6cm

Step-by-step explanation i can confirm that the answer is 6 ;}

The cost of each small charcuterie boards is $6 and one medium charcuterie boards is $7.

A mathematical statement known as an equation is made up of two expressions joined together by an equal sign. It is a formula that expresses the connection between two expressions on each side of a sign. Typically, it has a single variable and an equal sign.

Let small charcuterie boards = c

Let medium charcuterie boards = m

Therefore, the equation will be:

10c + 12m = 144

5c + 9m = 93

Multiply equation i by 5

Multiply equation ii by 10

50c + 60m = 720

50c + 90m = 930

Subtract

30m = 210

m = 210/30

m = 7

Therefore, 5c + 9m = 93

5c + 9(7) = 93

5c + 63 =93

5c = 93 - 63

5c = 30

Divide both sides by 5

c =  30 / 5

c = 6

Therefore, based on the information the cost of each small charcuterie boards is $6 and one medium charcuterie board is $7.

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Answer:

a

Step-by-step explanation:

Answer:

Cafe A - 54

Cafe B - 56

Step-by-step explanation:

The most likely culprit is whoever was responsible for filing the paper work. They likely failed to properly organize and file the documents.

The most likely culprit for the paper work not being in order is whoever was responsible for filing it. To determine who this is, it is helpful to look at who had access to the documents. This could include the person who initially created the paperwork, anyone who has handled the paperwork since then, and anyone with access to the file where the paperwork is stored. Once the list of possible suspects has been narrowed down, it is important to check if any of them have a history of filing incorrectly or not following proper procedure. It is also helpful to look at any recent changes to the filing system or personnel which may have caused an inadvertent disruption in the filing process. Taking all of these factors into account can help to identify the most likely culprit.

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Answer:

answer A

Step-by-step explanation:

Hello,

\((fog)(x)=f(g(x))=f(2x-1)=3(2x-1)+14=6x-3+14=6x+11\)

so the correct answer is A.

hope this helps

Answer:

A.  6x + 11.

Step-by-step explanation:

(f o g)(x)

We replace the x in f(c) by g(x) and simplify:

= 3(2x - 1) + 14

= 6x - 3 + 14

= 6x + 11.

Under the given  assumptions, the probability that Jenell's birthday lands on a weekend and is a prime number is 6/217.

What is a prime number ?

Prime number can be defined as a number in which it doesnt have factors except itself and one.

We can't determine WnP with the information provided because the events of having a birthday on a weekend and having a birthday on a prime number are not necessarily related.

We can make some assumptions to try to answer this question, but we should be clear that these assumptions are not stated in the original problem. Assuming that Jenell's birthday can fall on any day of the week with equal likelihood, then the probability of having a weekend birthday is 2/7, since there are two weekend days (Saturday and Sunday) out of seven total days in a week.

Assuming that Jenell's birthday can be any day of May with equal likelihood, the probability of it being a prime number is 3/31, since there are three prime numbers (2, 3, and 5) out of 31 possible days.

If we assume that the events of having a weekend birthday and having a prime birthday are independent (meaning that one event does not affect the probability of the other event happening), then we can use the formula for the probability of the intersection of independent events:

P(WnP) = P(W) * P(P)

Plugging in the probabilities we calculated, we get:

P(WnP) = (2/7) * (3/31) = 6/217

Hence, under these assumptions, the probability that Jenell's birthday lands on a weekend and is a prime number is 6/217.

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By organizing countless data points into comprehensible ranges or bins, the histogram, which resembles a bar graph in appearance, condenses a data series into an understandable visual. So Histograms based on data on housing, prices and salaries typically are skewed to the right.

A histogram in statistics is a graphic depiction of the data distribution. The histogram is shown as a collection of rectangles that are next to one another, where each bar represents a different type of data.

A branch of mathematics called statistics is used in many different fields. Frequency is the term for how often numbers appear in statistical data; it can be shown as a table and is known as a frequency distribution.

A histogram is a bar graph-like data visualization that groups various class levels into columns along the horizontal x-axis. The numerical count or percentage of occurrences for each column in the data are shown on the vertical y-axis.

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To compute the characteristic polynomial p(λ) for the matrix A, we need to find the determinant of (A - λI), where λ is the eigenvalue and I is the identity matrix.

The matrix (A - λI) is:

A - λI = [20 - λ, 16; -24, -20 - λ]

The determinant of (A - λI) is:

det(A - λI) = (20 - λ)(-20 - λ) - (16)(-24)

           = λ^2 + 20λ + 400 + 384

           = λ^2 + 20λ + 784

Therefore, the characteristic polynomial p(λ) is λ^2 + 20λ + 784.

To solve for the roots, we set p(λ) equal to zero and solve the quadratic equation:

λ^2 + 20λ + 784 = 0

Using the quadratic formula:

λ = (-b ± √(b^2 - 4ac)) / (2a)

For the given equation, a = 1, b = 20, and c = 784. Substituting these values into the quadratic formula:

λ = (-20 ± √(20^2 - 4(1)(784))) / (2(1))

  = (-20 ± √(400 - 3136)) / 2

  = (-20 ± √(-2736)) / 2

  = (-20 ± √(2736)i) / 2

Since the discriminant is negative, the roots of the equation are complex numbers. Simplifying the expression:

λ1 = (-20 + √(2736)i) / 2

   = -10 + √(684)i

λ2 = (-20 - √(2736)i) / 2

   = -10 - √(684)i

Therefore, the two eigenvalues of the matrix A, with λ1 < λ2, are:

λ1 = -10 + √(684)i

λ2 = -10 - √(684)i

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Answer:

(0,4)

Step-by-step explanation:

this is highest and only Y intercept. the range of a graph is all of the Y intercepts. and the domain of a graph is all of the x-intercepts

\(f(x)=x+7\\g(x)=x-4\\f(x)*g(x)=(x+7)(x-4)\\f(x)*g(x)=x^2+3x-28\)

So it's x^2+3x-28

Answer:

Step-by-step explanation:

Answer:

The answer would be

f(x)= x^2-8x+17

Step-by-step explanation:

For diameter 12 inches the would take approximately 904.78 cubic inches of air to inflate the soccer ball.

Diameter is a straight line segment that passes thrοugh the center οf a circle οr sphere, cοnnecting twο pοints οn the circumference. It is the lοngest chοrd οf the circle οr sphere and its length is twice the radius.

Tο find οut hοw much air is needed tο inflate the sοccer ball, we need tο first calculate the vοlume οf the ball. The fοrmula fοr the vοlume οf a sphere is:

V = (4/3)π\(r^3\)

where r is the radius of the sphere.

Since the diameter of the soccer ball is 12 inches, the radius is half of that, or 6 inches. We can substitute this value into the formula and simplify:

V = (4/3)π(\(6^3\)) = 904.78 cubic inches

This is the volume of the fully inflated soccer ball. If the ball is currently deflated, we need to add enough air to bring its volume up to 904.78 cubic inches.

The amount of air needed will depend on the pressure of the air being used to inflate the ball. If we assume that the pressure is constant, we can use the ideal gas law to calculate the volume of air needed:

PV = nRT

where P is the pressure, V is the volume, n is the number of moles of gas, R is the gas constant, and T is the temperature.

Since we are assuming that the pressure and temperature are constant, we can simplify the formula to:

V = (n/R)P

where n/R is a constant for a given amount of gas, and P is the pressure.

Without knowing the pressure of the air being used, we cannot calculate the exact amount of air needed. However, we can assume a standard pressure of 14.7 pounds per square inch (psi) and use this to calculate the volume of air needed.

Assuming a pressure of 14.7 psi, we can calculate the volume of air needed as follows:

V = (n/R)P = (1/14.7)(14.7) = 1 cubic inch

Therefore, it would take approximately 904.78 cubic inches of air to inflate the soccer ball. However, the exact amount of air needed will depend on the pressure of the air being used.

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Bleeding and segregation are properties of hardened concrete that occur due to the presence of excess water and improper mix design.

1. Bleeding refers to the movement of water in concrete towards the surface. It leads to the formation of a thin layer of water on the surface, which can be seen as patches or a sheen. Bleeding is more common in rich concrete mixes, which have a higher water-cement ratio.
2. Segregation, on the other hand, refers to the separation of ingredients in concrete. When concrete is mixed, the heavier coarse aggregates settle down, while the lighter cement and fine aggregates rise to the top. This results in an uneven distribution of ingredients and can weaken the strength and durability of the concrete.
3. Leaner concrete mixes, which have a lower water-cement ratio, tend to bleed less compared to rich mixes. This is because there is less excess water available to rise to the surface during the bleeding process.
4. The actual temperature of concrete during mixing is generally higher than the calculated temperature. This is due to heat generated by the hydration process, which occurs when water reacts with cement. The actual temperature is influenced by factors such as the type and amount of cement, water-cement ratio, ambient temperature, and mixing time.
5. The length of mixing time also affects the bleeding and segregation properties of concrete. Adequate mixing time is necessary to ensure proper distribution of ingredients and reduce the risk of segregation. Insufficient mixing can result in poor workability and an uneven mix, leading to increased bleeding and segregation.

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The solution set of the inequality is (- ∞, - 1].

In this problem we have an inequality formed by two linear equations of the form f(x) ≥ g(x), whose solution set has to be found by using algebraic procedures:

- 1.5 · (4 · x + 1) ≥ 4.5 - 2.5 · (x + 1)           Given

- 6 · x - 1.5 ≥ 4.5 - 2.5 · x - 2.5                Distributive property / (- 1) · a = - a / Definition of multiplication

- 3.5 ≥ 3.5 · x                                           Compatibility with addition / Existence of the additive inverse / Modulative and associative properties / Definitions of addition and subtraction

- 1 ≥ x                                                       Compatibility with multiplication / Existence of multiplicative inverse / Modulative property / - a / b = a / - b = - (a / b)

x ≤ - 1                                                        Trichotomy / Result

The solution set of the inequality is (- ∞, - 1].

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Answer:

Answer is 4.

x = 4

Step-by-step explanation:

Answer:

f(-8) = 45

Step-by-step explanation:

Step 1: Define

f(x) = -6x - 3

x = -8

Step 2: Substitute and Evaluate

f(-8) = -6(-8) - 3

f(-8) = 48 - 3

f(-8) = 45

Using proportional relationships, we can say that They will walk 12 laps and run 20 laps for a total of 32 miles.

In a direct proportional relationship, the output variable is found by the multiplication of the input variable and the constant of proportionality k, as follows:

y = kx.

Given that we know this, they walk 3/8 of the 8 miles that make up the complete distance. Run 5/8 of the route.

The following are the proportional relationships for the distances:

For a total distance of 32 miles, the distances walked and run are given:

therefore, They will walk 12 laps and run 20 laps for a total of 32 miles as per the proportional relation.

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This automaton accepts all strings with an odd number of occurrences of the substring "abc" and rejects strings that do not have an odd number of occurrences of "abc".

To build a finite automaton for the language L that accepts all strings with an odd number of occurrences of the substring "abc" over the alphabet {a, b, c}, we can follow these steps:

1. Identify the possible states of the automaton based on the number of "abc" substrings encountered so far. In this case, since we are interested in odd occurrences, we can have two types of states: even and odd. Let's represent the even states as positive numbers and the odd states as negative numbers.

2. Start with state 0 as the initial state, representing an even number of "abc" substrings encountered.

3. Create transitions from one state to another based on the input alphabet {a, b, c}. We need to keep track of the last two characters encountered to detect the "abc" substring.

4. Set up the transitions as follows:

  - If the current state is even:

    - Upon reading 'a', transition to state 1.

    - Upon reading 'b' or 'c', stay in state 0.

  - If the current state is odd:

    - Upon reading 'a', transition to state -1.

    - Upon reading 'b' or 'c', transition to state 0.

5. Designate the final states as the odd states, i.e., the negative number states. This represents the acceptance of strings with an odd number of occurrences of the substring "abc".

6. Add a dead-end state (represented by a circle) for any inputs that are not part of the alphabet {a, b, c}.

Here is the Finite Automaton for the language L:

```

  a      b,c

┌───┐  ┌─────┐

│ 0 │──►  0  │

└───┘  └──┬──┘

   ▲       │

  a│       │b,c

 ┌┴┴─┐  ┌──┴─────┐

 │ 1 │──►  -1   │

 └───┘  └────────┘

```

In this automaton, state 0 represents an even number of "abc" substrings encountered, and state -1 represents an odd number of "abc" substrings encountered.

This automaton accepts all strings with an odd number of occurrences of the substring "abc" and rejects strings that do not have an odd number of occurrences of "abc".

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The situation that results in a final value of zero is B.

In this scenario, the person buys the item for $2.25 and sells it for the same price of $2.25.

Since there is no difference in the buying and selling price, the person neither makes a profit nor incurs a loss. The final value of the profit is zero.

In the other situations:

A. The overall change in temperature when the temperature goes from -10°F to +10°F:

The overall change in temperature in this case is +20°F. It does not result in a final value of zero.

C. The overall change in altitude of a hot air balloon after rising 21 kilometers from sea level:

The overall change in altitude in this case is +21 kilometers. It does not result in a final value of zero.

D. The total distance a person travels when he bikes 3.1 miles to school and then bikes 3.1 miles back home:

The total distance traveled in this case is 6.2 miles. It does not result in a final value of zero.

Therefore, the only situation that results in a final value of zero is option B.

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Answer:60

Step-by-step explanation:a triangle always equals 180 so if you dived that by the three angles it equals 60 degrees

Answer:

60 cubic units

Step-by-step explanation:

4 x 5 x 3

Answer:

I think it's the second I e at the top

a. Mean=5.5, Median=5.52, Q1=5.44, Q3=5.58

b. Range=0.52, Interquartile Range=0.14, Variance=0.007, Standard Deviation=0.084, Coefficient of Variation=0.015
c. Mean, median, and quartiles are similar, which suggests that the data is normally distributed.

However, the standard deviation is relatively high which suggests a high degree of variation in the data.

The company producing the tea bags should be concerned about central tendency and variation because it affects the weight of the tea bags which in turn affects customer satisfaction, as well as compliance with labeling laws.
d. The box plot is skewed to the left.
e. The mean weight of tea bags is 5.5 grams, as specified on the label.

However, some bags may contain less than the required amount and some may contain more.

The company should try to reduce the amount of variation in the filling process to ensure that the majority of bags contain the required amount of tea (5.5 grams) and minimize the number of bags that contain less or more.

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Answer:

The tomato goes to the last box

The carrot goes to the middle box

The broccoli goes to the first box

Step-by-step explanation:

Answer:

numer 2

Step-by-step explanation:

Answer:

I guessed that the answer was 50 degrees, but the confirmed answer is:

49 degrees.

I guessed 50 because QPS looks right under 90 degrees, so if RPS is a little over half of 90 degrees, then the answer would be around 50.

Final answer: 49 degrees