What is the value of x in this figure?

Answer:

[x-82]{≤18}

Step-by-step explanation:

The required way to write the statement using absolute value notation is, | x - 82 | ≤ 18.

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Here,
This means that the absolute value of the difference between the score x and 82 is less than or equal to 18. In other words, if the score is within 18 points of 82 (above or below), then the absolute value of the difference between the score and 82 will be less than or equal to 18, and the student will pass the test.

Thus, the required way to write the statement using absolute value notation is, | x - 82 | ≤ 18.

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To create a function that matches the given graph, we applied a horizontal shift, a vertical shift, vertical compression, and vertical reflection to the basic square root function.

1.Horizontal Reflection:

To reflect the graph horizontally, we replace x with -x. This results in y = √(5(-x) - (-x)²), which simplifies to y = √(x² - 5x).

2.Vertical Translation:

To shift the graph upward by 7 units, we add 7 to the function. This gives us y = √(x² - 5x) + 7.

3.Horizontal Translation:

To shift the graph 2 units to the right, we replace x with (x - 2). The function becomes y = √((x - 2)² - 5(x - 2)) + 7.

4.Vertical Compression:

To compress the graph vertically by a factor of 2, we multiply the entire function by 2. This yields y = 2√((x - 2)² - 5(x - 2)) + 7.

5.Vertical Reflection:

To reflect the graph vertically, we negate the function. The final transformed function is y = -2√((x - 2)² - 5(x - 2)) + 7.

Therefore, the function that represents the given graph, after applying the specified transformations, is y = -2√((x - 2)² - 5(x - 2)) + 7.

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Answer:

60

Step-by-step explanation:

The answer is 60,

180 divided by 3 equals 60

the triangle you are talking about is a equilateral triangle.

The percentage of students with parking permits is 55.4%.

To calculate the percentage of students with parking permits, you need to divide the number of students with permits by the total number of students and multiply by 100. Here is how you can do that: The total number of students = 700Number of students with parking permits = 388Percentage of students with parking permits = (Number of students with parking permits / Total number of students) x 100. Putting in the values we get, (388/700) × 100 = 55.4%. Therefore, the percentage of students with parking permits is 55.4%.

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Answer:

Fasle

Step-by-step explanation:

81 1/4s would be 81/4 which would be 20 and 1/4

Answer:

226.2 in³ and 452.4 in³

Step-by-step explanation:

Volume of original shape:

Volume = base area x height
Volume = πr² x 2
Volume = π(6)² x 2
Volume = 113.10 x 2
Volume = 226.2 in³

Volume with same radius but double the height:

Volume = base area x height
Volume =  πr² x 2(2) ----------> multiplied by 2 because height is being doubled
Volume = 113.10 x 4
Volume = 452.4 in³

Answer:

Step-by-step explanation:

not sure 2

Answer:

answer B is correct

Step-by-step explanation:

makes sense

Answer:

B

Step-by-step explanation:

A cone has this weird shape on top of the circle which looks like this curvy triangle. The rest don't have that

From the question given above, the following data were obtained:

Cos θ = 12/13

Sine θ =?

Next, we shall determine the opposite. This can be obtained as follow:

\(Cos \theta = \frac{Adjacent}{Hypothenus}\\\\Cos \theta = \frac{12}{13}\)

Adjacent = 12

Hypothenus = 13

Hypothenus² = Opposite² + Adjacent²

13² = Opposite² + 12²

169 = Opposite² + 144

Collect like terms

169 – 144 = Opposite²

25 = Opposite²

Take the square root of both side

Opposite = √25

Finally, we shall determine the Sine θ. This can be obtained as follow:

Opposite = 5

Hypothenus = 13

\(Sine\theta = \frac{Opposite}{Hypothenus}\\\\Sine\theta = \frac{5}{13}\)

Therefore, the value of Sine θ is 5/13

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Answer:

D. 5/13

Step-by-step explanation:

Answer:

AOS: x = -1

Vertex: (-1, -2)

Step-by-step explanation:

Indentify the turning point of the graph with is x = -1.

Answer:

$0.27875 or $0.28 1 cup = 2 ounces Number of cups in 1 jar = 4 ounce

Step-by-step explanation:

Answer:

B. terms in sequences

Step-by-step explanation:

When graphed, a sequence is a scatter plot, a series of dots. (Do not connect the dots). The sum of the terms of a sequence is called a series.

OPTION B is correct.

The range of a sequence consists of terms in the sequences.

We have a statement the range of a sequence consists of.

We have to find which of the given options is a constituent of range of sequence.

A sequence is an arrangement of objects in a particular order. They are of two types - finite and infinite.

Range of a sequence is the set of elements that can be used to plot it graphically. These elements are in general the y - coordinate of the point, with the x coordinate being x = n = 1, 2, 3,4 .... and so on. An example of a range of sequence is Set S = {2, 1, 5, 7, 8}.

Hence, the range of sequence consists of terms of sequence.

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To ensure that all the relevant information is included in the answer, the following explanations will be given.

There are different types of ANOVA such as one-way ANOVA and two-way ANOVA. These ANOVA types are determined by the number of factors or independent variables. One-way ANOVA involves a single factor and can be used to test the hypothesis that the means of two or more populations are equal. On the other hand, two-way ANOVA involves two factors and can be used to test the effects of two factors on the population means. In the question above, the type of ANOVA used is not given.

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Answer:

y = 12

Step-by-step explanation:

proportions can be solved by cross-multiplying

to work with smaller numbers, you can simplify \(\frac{14}{10}\) to be \(\frac{7}{5}\)

\(\frac{7}{5}\) = \(\frac{y+9}{15}\)

7(15) = 5(y + 9)

105 = 5y + 45

60 = 5y

y = 12

As per the given box plot, on 6th day island is more likely to have a wind speed close to its median.

The term box plot in math referred as the method of  visually show the distribution of numerical data and skewness through displaying the data quartiles and averages.

Here we have given the figure attached that contains the box plots show the average wind speeds, in miles per hour, for two different islands Here the Country A is placed on the top of the line where as Country B on the bottom of the line.

While we looking into the box plot we have identified that the median of Country A is 4 and the center of the box is 5

And the the median of Country B is 6 and the center of the box is 6.5.

Through this we have identified that the resulting day is 6 day.

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Answer:

salini -= 5 years

mother = 40years

Step-by-step explanation:

\(salini = x \\ mother =8x \\ x + 5 = 1 \: of \: 8x \\ x + 5 = 2x \\ 5 = x \)

\(5 = x\)

then you equate the values of x

Answer:

Karl is 16 and Danny is 12

Step-by-step explanation:

Answer: (7.5, 4.5)

Step-by-step explanation:

To find the midpoint, we can just find the average of the x values and the y values.

x=(10+5)/2=15/2=7.5

y=(5+4)/2=9/2=4.5

Considering the mean of a discrete distribution, you are expected to earn $0.13 by the end of the game.

The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.

Since 71% of your rolls are successful and 29% of your rolls are unsuccessful, the distribution of your earnings is:

Hence the expected value is:

E(X) = 1 x 0.71 - 2 x 0.29 = 0.71 - 0.58 = 0.13

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9514 1404 393

Answer:

  -4/3

Step-by-step explanation:

Quadratic ax² +bx +c can be written in factored form as ...

  a(x -p)(x -q)

for zeros p and q. The expanded form of this is ...

  ax² -a(p+q)x +apq

Then the ratio of the constant term to the leading coefficient is ...

  c/a = (apq)/a = pq . . . . the product of the zeros

For your quadratic, the ratio c/a is -4/3, the product of the zeros.

_____

Additional comment

You will notice that the sum of zeros is ...

  -b/a = -(-a(p+q))/a = p+q

Answer:

\( \green{ \boxed{ \bf \: product \: of \: the \: zeros \: = - \frac{4}{3} }}\)

Step-by-step explanation:

We know that,

\( \sf \: if \: \alpha \: and \: \beta \: \: are \: the \: zeroes \: of \: the \: \\ \sf \: polynomial \: \: \: \pink{a {x}^{2} + bx + c }\: \: \: \: then \\ \\ \small{ \sf \: product \: of \: zeroes \: \: \: \alpha \beta = \frac{constant \: term}{coefficient \: of \: {x}^{2} } } \\ \\ \sf \implies \: \pink{ \boxed{\alpha \beta = \frac{c}{a} }}\)

Given that, the polynomial is :

\( \bf \: 3 {x}^{2} - 2x - 4\)

so,

\( \sf \: so \: product \: of \: zeroes \: \: = \frac{ - 4}{3} = - \frac{4}{3} \)

Answer:Direction: Opens Down

Vertex:  

(

5

2

,

17

4

)

Focus:  

(

5

2

,

4

)

Axis of Symmetry:  

x

=

5

2

Directrix:  

y

=

9

2

Select a few  

x

values, and plug them into the equation to find the corresponding  

y

values. The  

x

values should be selected around the vertex.

Tap for more steps...

x

y

0

−

2

1

2

5

2

17

4

3

4

4

2

Graph the parabola using its properties and the selected points.

Direction: Opens Down

Vertex:  

(

5

2

,

17

4

)

Focus:  

(

5

2

,

4

)

Axis of Symmetry:  

x

=

5

2

Directrix:  

y

=

9

2

x

y

0

−

2

1

2

5

2

17

4

3

4

4

2

Step-by-step explanation:nn

Answer:

(a) To find the mean value, we sum up all the values and divide by the number of values:

Mean = (17 + 22 + 25 + 27 + 32 + 40 + 45 + 51 + 59 + 62) / 10 = 36.0

So, the mean value is 36.0.

To find the median value, we first need to put the data set in order from smallest to largest:

17, 22, 25, 27, 32, 40, 45, 51, 59, 62

The median is the middle value of the data set, which is 36 in this case.

So, the median value is 36.0.

(b) To find the mean absolute deviation (MAD), we first need to find the deviation of each value from the mean:

|17 - 36.0| = 19.0

|22 - 36.0| = 14.0

|25 - 36.0| = 11.0

|27 - 36.0| = 9.0

|32 - 36.0| = 4.0

|40 - 36.0| = 4.0

|45 - 36.0| = 9.0

|51 - 36.0| = 15.0

|59 - 36.0| = 23.0

|62 - 36.0| = 26.0

Next, we find the mean of these deviations:

MAD = (19.0 + 14.0 + 11.0 + 9.0 + 4.0 + 4.0 + 9.0 + 15.0 + 23.0 + 26.0) / 10

MAD = 13.0

So, the mean absolute deviation for this data set is 13.0.

(c) To find the percentage of the data set that lies closer than the MAD to the mean, we count how many values are within one MAD of the mean. We have:

17, 22, 25, 27, 32, 40, 45, 51, 59, 62

The values within one MAD of the mean (36.0 +/- 13.0) are:

17, 22, 25, 27, 32, 40, 45, 51

So, 8 out of 10 values are within one MAD of the mean.

The percentage of the data set that lies closer than the MAD to the mean is:

8 / 10 * 100% = 80%

(a) To find the mean value, we sum up all the values and divide by the number of values:

Mean = (7 + 7 + 7 + 8 + 8 + 9 + 10 + 32) / 8 = 9.5

So, the mean value is 9.5.

To find the mean absolute deviation (MAD), we first need to find the deviation of each value from the mean:

|7 - 9.5| = 2.5

|7 - 9.5| = 2.5

|7 - 9.5| = 2.5

|8 - 9.5| = 1.5

|8 - 9.5| = 1.5

|9 - 9.5| = 0.5

|10 - 9.5| = 0.5

|32 - 9.5| = 22.

In essence, a function is a rule that assigns to each value of the input set (also known as the domain), a unique value of the output set (also known as the range).

A function is a fundamental mathematical concept that is used to describe the relationship between two sets of values.

To understand the idea of a function, imagine a machine that takes in an input and produces an output. The input values are the domain of the function, and the output values are the range. A function can be represented as an equation, a graph, or a table. For example, the equation f(x) = x + 3 represents a function that takes in an input value x and produces an output value that is 3 greater than the input value.

One of the key features of a function is that each input value must have a unique output value. This means that if you input the same value into the function twice, you should get the same output value both times. In mathematical terms, we say that a function is well-defined if it has a unique output value for each input value.

Functions are used in a wide range of mathematical applications, from algebra and calculus to statistics and data analysis. They provide a powerful tool for describing and analyzing relationships between different sets of values.

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hirhgkjsdbgkgbdk kbfsbjd jsbfbdh jabjdbshd jsjdsfkj

Answer: x>11

Step-by-step explanation:

Answer:

Whats the question

Step-by-step explanation:

Answer:

32 hours

Step-by-step explanation:

14x + 250 < 22x

250 < 22x - 14x

250 < 8x

250/8 < x

x = 31.25 = 32 hours

Tim charge for 32 hrs: 14(32)+250= $698

Colorful paints charge for 22 hrs: $704

(i) The marginal propensity to consume (MPC) is 0.8.

(ii) The marginal propensity to save (MPS) is 0.2.

(iii) The level of consumption is $360.

(iv) The average propensity to consume (APC) is 0.9 or 90%.

(v) The level of savings is $40.

The given linear equation for consumption, C = $40 + 0.8Y, and the income (Y) is $400, let's calculate the following:

(i) The marginal propensity to consume (MPC):

The marginal propensity to consume represents the change in consumption resulting from a change in income. It is the coefficient of the income term in the consumption function.

MPC = ∆C / ∆Y = 0.8

(ii) The marginal propensity to save (MPS):

The marginal propensity to save represents the change in savings resulting from a change in income. It is equal to 1 minus the marginal propensity to consume.

MPS = 1 - MPC = 1 - 0.8 = 0.2

(iii) The level of consumption when income (Y) is $400:

Plug the given income value into the consumption function.

C = $40 + 0.8Y = $40 + 0.8 * $400 = $40 + $320 = $360

Therefore, the level of consumption when income is $400 is $360.

(iv) The average propensity to consume (APC):

The average propensity to consume represents the proportion of income that is spent on consumption. It is calculated by dividing consumption by income.

APC = C / Y = $360 / $400 = 0.9

Therefore, the average propensity to consume is 0.9 or 90%.

(v) The level of savings:

Savings (S) is the difference between income (Y) and consumption (C).

S = Y - C = $400 - $360 = $40

Therefore, the level of savings is $40.

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Answer:

618.2203≈618.22

Step-by-step explanation:

618.2203≈618.22