help, please
Given the triangle shown on the grid below, which graph shows the triangle reflected over the x-axis?

The function that represents the given equation is:

f(x) = 3x + 8

The equation is -12x + 4y = 32. To solve for y as a function of x, we need to isolate y on one side of the equation.

Adding 12x to both sides, we get 4y = 12x + 32.

To solve for y, we divide both sides of the equation by 4. This gives us y = 3x + 8.

Hence, the function that expresses y as a function of x is:

f(x) = 3x + 8.

Using this function, we can determine the value of y corresponding to any given x value. For example, if we substitute x = 5 into the function, we have f(5) = 3(5) + 8 = 15 + 8 = 23. Therefore, when x is 5, y is 23 according to the function f(x) = 3x + 8.

In summary, the function f(x) = 3x + 8 represents the relationship between x and y in the given equation, allowing us to calculate the corresponding y value for any given x value.

Therefore, the function that represents the given equation is:

f(x) = 3x + 8

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Answer:

392

Step-by-step explanation:

If we have the expression \(7m+3mn\) and we know the values of m and n, we can just substitute inside the expression and solve.

\(7\cdot8 + 3\cdot8\cdot14\\\\56+336\\\\392\)

Hope this helped!

Answer:

392 is the correct answer

The translated function is:

g(x) = |x  + 3| - 5

The parent function is f(x) = |x|, and we need to translate it.

Remember that:

Horizontal translation:

For a general function f(x), a horizontal translation of N units is written as:

g(x) = f(x + N).

Vertical translation:

For a general function f(x), a vertical translation of N units is written as:

g(x) = f(x) + N.

Then a translation of 3 units to the right and 5 units down is written as:

g(x) = f(x + 3) - 5 = |x  + 3| - 5

That is the translated function.

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The expression is t = 0.3 + 3.2p, where t is the box's overall weight and p is the number of plaques it contains.

Let's review the data given to us to properly respond to the question:

Weight of a box by itself = 0.3 kg

Weight of a plaque = 3.2 kg

The expression can be used to determine the total weight of the box :

We shall use the following phrase to respond to the query:

Total weight of the box in kg = t

Number of plaques inside the box = p

Hence, the expression t = 0.3 + 3.2p

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Answer: 263.8m2

Step-by-step explanation:

Formula: S.A=Pi x radius2 + Pi x radius x slant height

Answer:

1/2+3y

Step-by-step explanation:

a coefficient is the number in front of the variable.

Hope this helps

Answer:

1/2+3y

Step-by-step explanation:

The expression 3/4y+5 has a coefficient of 3/4, so it's not greater than 1

The expression 4+y has a coefficient of 1, so it's not greater than 1

The expression 1/2+3y has a coefficient of 3, so it's greater than 1

The expression y-4*1 has a coefficient of 1, so it's not greater than 1

The required functions are:

(a) (f+g)(x) = f(x) + g(x) = 6x + x⁴

(b) (f-g)(x) = f(x) - g(x) = 6x - x⁴

(c) (f⋅g)(x) = f(x) g(x) = 6x x⁴ = 6x⁵

(d) (f/g)(x) = f(x) / g(x) = (6x) / (x⁴) = 6x⁻³, where x is not equal to 0.

The given function is,

f(x)=6x

g(x)=x⁴

(a) (f+g)(x) = f(x) + g(x)

Substituting the given functions for f(x) and g(x), we have:

(f+g)(x) = f(x) + g(x) = 6x + x⁴

So, (f+g)(x) = 6x + x⁴

(b) (f-g)(x) = f(x) - g(x)

Substituting the given functions for f(x) and g(x), we have:

(f-g)(x) = f(x) - g(x) = 6x - x⁴

So, (f-g)(x) = 6x - x⁴

(c) (f⋅g)(x) = f(x) * g(x)

Substituting the given functions for f(x) and g(x), we have:

(f⋅g)(x) = f(x) g(x) = 6x x⁴

Using the exponent rule that \(a^m a^n = a^{(m+n)\),

We can simplify the expression as:

(f⋅g)(x) = 6x x⁴ = 6\(x^{(1+4)\) = 6x⁵

So, (f⋅g)(x) = 6x⁵

(d) (f/g)(x) = f(x) / g(x)

Substituting the given functions for f(x) and g(x), we have:

(f/g)(x) = f(x) / g(x) = (6x) / (x⁴)

Using the exponent rule that \(a^m / a^n = a^{(m-n)\),

we can simplify the expression as:

(f/g)(x) = (6x) / (x⁴) = 6\(x^{(1-4)\) = 6x⁻³

However, we should note that this expression is undefined when x=0, because we cannot divide by 0.

So, the domain of this function is x ≠ 0.

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The total height function of the box is (2) b(h(v)) = v/81

The complete question is added at the end of this solution

From the question, we have the following parameters that can be used in our computation:

Number of squares based prism = 4

Side length = 18 inches

Represent the height of the prism with h and the total height with b

From the function, the height is given as

h(v) = v/324

This means that the function of the total height of the box can be calculated using

b(h) = xh

Such that x is the number of square-based prisms

For 4 boxes (given), we have

x = 4

So, the equation becomes

b(h) = 4h

Substitute h(v) = v/324 in b(h) = 4h

b(h(v)) = 4 * v/324

Evaluate the products

b(h(v)) = v/81

Hence, the function is b(h(v)) = v/81

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Complete question

Boxes hold various numbers of square-based prisms in a single column. The square base of each prism has a side length of 18 inches. The height of each prism, h, can be found using the function ,h(v)=V/324, where V is the volume of the prism. The total height of the box, b, can be found using the function b(h) = xh, where x is the number of square-based prisms in a specific box.

Which function can be used to find the height of a box containing 4 square prisms, depending on the volume of the prisms?

1.) b(h(v))=h/81

2.)b(h(v))=v/81

3.)b(h(v))=v/1296

4.)b(h(v))=h/1296

The value of the expression, that is, 20.5 – (2 * 8.1) is 4.3

We have been given the expression 20.5 – (2 * 8.1).

To solve this problem we apply BODMAS rule, where each letter stands for

              B = Bracket

              O = of

              D = Divide

              M = multiply

             A = Addition

              S = Subtraction

When any equation is given where there is more than one operation, we solve them according to the BODMAS rule which tells us to solve the order of operation to be followed while solving expression in mathematics.

Now solving the expression we get,

           = 20.5 – (2*8.1)

First solve the bracket expression

          = 20.5 – 16.2

          = 4.3

Hence the answer for the expression is 4.3

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Answers:

x = 10

y = 61

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

Explanation:

The two angles at the bottom add to 180, since they form a straight angle.

y+119 = 180

y = 180-119

y = 61

The angle (5x+11) and angle y = 61 are corresponding angles. They are congruent because of the parallel lines

5x+11 = y

5x+11 = 61

5x = 61-11

5x = 50

x = 50/5

x = 10

Note that

5x+11 = 5*10+11 = 50+11 = 61

which matches with y = 61, so that helps confirm the right x value.

Answer:

Y=61

X=10

Step-by-step explanation:

180-119=61=y

61=5x+11

50=5x

x=10

The mean and the standard deviation for the average of the 36 measurements is given as follows:

The Central Limit Theorem defines the distribution of the sampling distribution of sample means with size n of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\).

For the sampling distribution, the mean and the standard deviation are given as follows:

Considering the sample size of n = 36, the standard deviation is obtained as follows:

\(s = \frac{54}{\sqrt{36}} = 9\)

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Answer:

the new ratio milk/water is  14:6  or 7:3

Step-by-step explanation:

milk/water=5/3

milk +water=5+3=8

ratio of milk=5/8  and ratio of water=3/8

if 4 liter removed from mixture then: 20=4= 16 liter

the amount of milk in 16 liter=16*5/8=10 liter of milk

the amount of water in 16 liter=16*3/8= 6 liter

add 4 liter of milk to the mixture: 10+4=14 liter of milk and 6 liter of water

the new ratio milk/water is  14:6  or 7:3

The vectors v = 6i - 3j and w = i + 2j are orthogonal.

To determine if the vectors v and w are orthogonal, we need to find their dot product. If the dot product is 0, the vectors are orthogonal.

Here are the steps to find the dot product of v = 6i - 3j and w = i + 2j,

1. Identify the components of the vectors: v = (6, -3) and w = (1, 2)

2. Multiply the corresponding components of the vectors:

\((6 \times 1) + (-3 \times 2) = 6 - 6 \)

3. Add the products: 6 - 6 = 0 Since the dot product is 0, the vectors v = 6i - 3j and w = i + 2j are orthogonal.

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Correct question is " Are these vectors orthogonal? v = 6i - 3j and w = i+2j"

Answer:

-1

Step-by-step explanation:

3-1=2

2-1=1

Answer:

\(0.186\)

Step-by-step explanation:

\(\mathrm{Solution,}\\\mathrm{Suppose\ getting\ head\ is\ a\ success\ and\ getting\ tail\ is\ a\ failure.}\\\mathrm{Now,}\\\mathrm{Probability\ of\ success(p)=0.45}\\\mathrm{Probability\ of\ failure(q)=1-p=1-0.45=0.55}\\\mathrm{Number\ of\ times\ experiment\ is\ done(n)=6}\\\mathrm{Number\ of\ success\ desired(r)=4}\\\mathrm{We\ use\ the\ formula,}\\\mathrm{P(r)=nCr\times p^r\times q^{n-r}}\\\mathrm{P(4)=6C4\times 0.45^4\times 0.55^{6-4}}=0.186}\)

\(\mathrm{So,\ the\ required\ probability\ is\ 0.186.}\)

Answer:

108.51

Step-by-step explanation:

a. The probability of success (hitting the target) is constant for each trial (88% or 0.88).

b. The probability of hitting the 6th target is:

P(X = 1) = C(1, 1) * 0.88^1 * (1 - 0.88)^(1 - 1) = 0.88

c. Using the binomial probability formula as before, with p = 0.88 and n = 3:

P(X = 1) = C(3, 1) * 0.88^1 * (1 - 0.88)^(3 - 1)

P(X = 2) = C(3, 2) * 0.88^2 * (1 - 0.88)^(3 - 2)

P(X = 3) = C(3, 3) * 0.88^3 * (1 - 0.88)^(3 - 3)

a) The three characteristics of this scenario that indicate we are working with Bernoulli trials are:

The experiment consists of a fixed number of trials (eight shots).

Each trial (shot) has two possible outcomes: hitting the target or missing the target.

The probability of success (hitting the target) is constant for each trial (88% or 0.88).

b) To find the probability of hitting the 6th target (considered as a single trial), we can use the binomial probability formula:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

where:

P(X = k) is the probability of getting exactly k successes,

C(n, k) is the binomial coefficient or number of ways to choose k successes out of n trials,

p is the probability of success in a single trial, and

n is the total number of trials.

In this case, k = 1 (hitting the target once), p = 0.88, and n = 1. Therefore, the probability of hitting the 6th target is:

P(X = 1) = C(1, 1) * 0.88^1 * (1 - 0.88)^(1 - 1) = 0.88

c) To find the probability that the first time hitting the target is not until the 4th shot, we need to consider the complementary event. The complementary event is hitting the target before the 4th shot.

P(not hitting until the 4th shot) = P(hitting on the 4th shot or later) = 1 - P(hitting on or before the 3rd shot)

The probability of hitting on or before the 3rd shot is the sum of the probabilities of hitting on the 1st, 2nd, and 3rd shots:

P(hitting on or before the 3rd shot) = P(X ≤ 3) = P(X = 1) + P(X = 2) + P(X = 3)

Using the binomial probability formula as before, with p = 0.88 and n = 3:

P(X = 1) = C(3, 1) * 0.88^1 * (1 - 0.88)^(3 - 1)

P(X = 2) = C(3, 2) * 0.88^2 * (1 - 0.88)^(3 - 2)

P(X = 3) = C(3, 3) * 0.88^3 * (1 - 0.88)^(3 - 3)

Calculate these probabilities and sum them up to find P(hitting on or before the 3rd shot), and then subtract from 1 to find the desired probability.

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Graphs are used to show the relationship between two variables (usually x and y). The values of x when \(f(x) = 0\) are 2 and 8

The graph of y = f(x) is given

To get the values of x when \(f(x) = 0\), we simply consider where the line of the graph crosses the x-axis.

The graph crosses the x-axis at:

\(x = 2\)

\(x = 8\)

This means that the values of x when \(f(x) = 0\) are 2 and 8

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The probability of and odds for being dealt a two or black card in a 52-card deck are approximately 27/52 or 0.5192 and 1.08 : 0.93, respectively.

A 52-card deck has 26 red cards and 26 black cards. There are four twos in the deck, with two of them being red and two being black.

Therefore, the probability of being dealt a two or a black card is:P(two or black card) = P(two) + P(black card) - P(two and black)P(two)

P(two or black card)  = 4/52 = 1/13, as there are four twos in a 52-card deck.

P(black card) = 26/52 = 1/2, as there are 26 black cards in a 52-card deck.

P(two and black) = 2/52 = 1/26, as there are two cards in the deck that are both a two and black card.

So, substituting these values into the formula above:P(two or black card) = 1/13 + 1/2 - 1/26

P(two or black card) = 27/52 or approximately 0.5192

As for the odds of being dealt a two or a black card, the formula for odds is:P(success) : P(failure)

The probability of success in this case is 27/52, and the probability of failure is 25/52 (since there are 25 non-black twos in the deck).

So, the odds of being dealt a two or a black card are:27/25 : 25/27 or approximately 1.08 : 0.93.

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Answer:

10.5 children play football

Step-by-step explanation:

10.5+10.5+21=42

Answer: 35 children

Step-by-step explanation:

Let the number of children who play only football be f , the number of children who play only

tennis be t and the number of children who play both sports be b.

Since there are 42 children, f + t + b = 42.

Also, since the number of children who play tennis is equal to the number of children who play

only football, t + b = f . Therefore f + f = 42. So f = 21 and t + b = 21.

Finally, twice as many play both tennis and football as play just tennis. Therefore b = 2t.

Substituting for b, gives t + 2t = 21. Hence t = 7.

Therefore the number of children who play football is 42 − t = 42 − 7 = 35.

To find the number of triangles with vertices of three different colors, we need to consider the combinations of colors we can choose from the given set of points.

We have 8 red points, 4 green points, and 6 blue points. To form a triangle with vertices of three different colors, we need to choose one point from each color group.

First, let's choose one red point. We have 8 options for this.

Next, let's choose one green point. We have 4 options for this.

Finally, let's choose one blue point. We have 6 options for this.

To determine the total number of triangles, we need to multiply the number of options for each color:

Total number of triangles = Number of options for red points × Number of options for green points × Number of options for blue points

                      = 8 × 4 × 6

                      = 192

Therefore, there are 192 triangles with vertices of three different colors.

It's worth noting that the order in which we choose the points does not matter because we are counting the number of distinct triangles. So, we are not considering permutations but rather combinations of colors.

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The total amount spent on the 2 pizzas including tip as required to be determined is; 26 dabloons.

It follows from the task content that the total amount spent on ordering the pizzas including tips is to be determined.

First, since each of the pizzas costs; 11 dabloons; it follows that the cost of 2 pizzas would be;

= 2 × 11 dabloons

= 22 dabloons.

Also, since a 4 dabloon tip is given to the delivery person;

Total amount spent is; 22 + 4 = 26 dabloons.

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The total number of methods to select the five-person committee and guarantee that there aren't any members with the same major is= 4004ways.

The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x.

The probability of an event can be calculated using the following formula.

Probability(Event) = Positive Results/Total Results = x/n

In order to better grasp probability, let's look at a straightforward application.

Let's say we need to forecast if it will rain or not. Either "Yes" or "No" is the appropriate response to this query.

There is a chance that it will rain or not. Here, probability can be used. Using probability, one may forecast the results of a coin toss, a roll of the dice, or a card draw.

According to our question-

From the two students with same major we also use the combination Formula in knowing the number of ways any of the two students can be chosen. To choose one from these two students, we use the combination Formula 2C1.

the two students with same major aren't on the committee becomes:

14C5 * 2C1

2002 * 2

4004ways.

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Answer:

10x

X = Months

10 = letters each month

Hypotheses are used to make predictions about data. They help identify what the data analyst wants to confirm or disprove.

Supervisor asks Junior Data Analyst to present her two hypotheses for a data analysis project.

We must explain the purpose of your hypothesis.

In other words, a type of statistical inference called

hypothesis testing uses data from a sample to infer population parameters or population probability distributions. First, an educated guess is made about the parameter or distribution.

Here, the hypothesis goal is to make inferences about the

data. Data analysts use them to decide what to prove or disprove.

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Answer:

I think it’s C

Step-by-step explanation:

The transformation shown below is a reflection.

The correct answer to the given question is option B.

A reflection is a transformation that produces a mirror image of an object across a line or plane of reflection.

In this case, the line of reflection appears to be the y-axis, which is a vertical line passing through the origin.

The easiest way to see that this is a reflection is to look at the position of the vertices before and after the transformation.

The vertex (0, 3) has been reflected across the y-axis to the point (0, -3), while the vertex (-4, 0) has been reflected across the y-axis to the point (4, 0).

Similarly, the vertex (0, -3) has been reflected across the y-axis to the point (0, 3), while the vertex (4, 0) has been reflected across the y-axis to the point (-4, 0).

The other two possible transformations, translation and rotation, would result in the points being in different locations than those shown.

Therefore, the correct answer is a reflection.

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Answer:

it should be D

Step-by-step explanation:

Because shes going back home.