Write a number that has the same value as each expression:
a.|5|
b.|-12.9|

Answer:

None

Step-by-step explanation:

Truly, I'm not sure what type of problem this is, but most people don't favor all the seasons. If there is more to the problem, I would be glad to help further.

Answer:

One possible way to estimate how many people out of 20 would say that they like all seasons is to use a simple random sample. A simple random sample is a subset of a population that is selected in such a way that every member of the population has an equal chance of being included. For example, one could use a random number generator to assign a number from 1 to 20 to each person in the population, and then select the first 20 numbers that appear. The sample would then consist of the people who have those numbers.

Using a simple random sample, one could ask each person in the sample whether they like all seasons or not, and then calculate the proportion of positive responses. This proportion is an estimate of the true proportion of people in the population who like all seasons. However, this estimate is not exact, and it may vary depending on the sample that is selected. To measure the uncertainty of the estimate, one could use a confidence interval. A confidence interval is a range of values that is likely to contain the true proportion with a certain level of confidence. For example, a 95% confidence interval means that if the sampling procedure was repeated many times, 95% of the intervals would contain the true proportion.

One way to construct a confidence interval for a proportion is to use the formula:

p ± z * sqrt(p * (1 - p) / n)

where p is the sample proportion, z is a critical value that depends on the level of confidence, and n is the sample size. For a 95% confidence interval, z is approximately 1.96. For example, if out of 20 people in the sample, 12 said that they like all seasons, then the sample proportion is 0.6, and the confidence interval is:

0.6 ± 1.96 * sqrt(0.6 * (1 - 0.6) / 20)

which simplifies to:

0.6 ± 0.22

or:

(0.38, 0.82)

This means that we are 95% confident that the true proportion of people who like all seasons in the population is between 0.38 and 0.82. Therefore, based on this sample and this confidence interval, we would expect between 8 and 16 people out of 20 to say that they like all seasons in the population.

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The surface area of the solid formed is approximately, 598.3 in².

Surface area of the solid is the area covered by the solid all round.

The given parameters are:

Surface area of the solid formed = 5(10×10) + (0.5×10×8.67) + 3(10×1.83) = 598.3 in²

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do B as it goes up 2 then 3 then it repeated the

(b) the sequence is not arithmatic

Answer: x = 16

Step-by-step explanation: The y values keep going up by multiplying 2. 2x2=4, 4x2=8, so 8x2=16.

To plot the points just put the point coordinated with the x values and y values.

Step-by-step explanation:

If Dianna finishes her homework then she will go to the movie

The value of x is 4.

To determine the value of x, we can use the concept of similarity between shapes.

Similar shapes have corresponding sides that are proportional to each other.

Given the dimensions of the first shape as 5, x, and 5, and the dimensions of the second shape as 30, 24, and 30, we can set up the following proportion:

5/x = 30/24

To solve for x, we can cross-multiply:

30 · x = 5 · 24

30x = 120

Dividing both sides of the equation by 30:

x = 120 / 30

x = 4

Therefore, the value of x is 4.

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The numbered spot at which all the runners will be next to one another is spot 19.

Least Common Multiple is the meaning of the acronym LCM. The lowest number that may be divided by both numbers is known as the least common multiple (LCM) of two numbers. It may also be computed using two or more real numbers.

Starting with the runner on the outside track, the provided parameters are;

The runner covered n₁ = 5 places on the outside track, which is the number of spaces.

Next, the inner runner will traverse n₂ spaces, which equals one space.

The following inner runner will cover n₃ = 3 spaces.

The subsequent runner will traverse n₄ = 2 spaces.

The Lowest Common Multiple, or LCM, of all the runners' speeds or the total number of spaces they cover in the same amount of time, determines where all the runners will be placed next to one another.

LCM(5, 1, 3, 2) = 30 is the LCM of 5, 1, 3, and 2.

Time = 30/ = 6

Consequently, when the first runner has covered 30 places, we have;

Six time units have been expended.

The runner comes to a stop at position 30- (30 -19) = Position 19.

First runner's new destination is Spot 19.

The distance covered simultaneously by runner 2 is 6 x 1 = 6.

The distance covered by two runners running simultaneously equals six spaces.

Second runner's new position: 6 spaces plus spot 13 equals spot 19.

The combined distance covered by the three runners is 6 x 3 = 18.

The distance runner 3 covers 18 spaces simultaneously.

Third runner's new position: 18 spaces + Spot 1 = 19 spaces

Runner 4 covers a distance of 6 x 2 = 12 at the same time.

Distance runner 4 journeys equals 12 spaces

Runner 4's new position is now 12 spaces Plus Spot 7 = Spot 19.

Therefore, all the runners will be next to one another is spot 19.

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By performing the indicated operation the value of 48.2 m + 3.87 m + 48.4394 m is 100.5094 m.

To simplify an expression, write an equivalent expression with no similar terms. This means we'll rewrite the expression with as few terms as possible. Simplifying an expression makes it easier to solve complex problems, and using exponent rules makes it easier to simplify expressions.

The expression is:

48.2 m + 3.87 m + 48.4394 m

We solve the expression by performing the indicated operation.

There have the sigh of addition between each terms.

Also the variable in each term is same as m.

So that we add them.

= 48.2 m + 3.87 m + 48.4394 m

= (48.2 + 3.87 + 48.4394) m

= 100.5094 m

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The centroid of the region in the first quadrant bounded by the curves \(\(y = x^9\)\) and \(\(x = y^9\)\) is \(\(\left(\dfrac{10}{11}, \dfrac{10}{11}\right)\)\).

The centroid is given by the following formulas:

\(\[\bar{x} = \dfrac{\int_{a}^{b} x \cdot f(x) \, dx}{\int_{a}^{b} f(x) \, dx}\]\)

\(\[\bar{y} = \dfrac{\int_{c}^{d} y \cdot g(y) \, dy}{\int_{c}^{d} g(y) \, dy}\]\)

Where f(x) and g(y) are the functions that define the curves bounding the region.

Since we want to find the centroid of the region in the first quadrant, the intersection points of the two curves in the first quadrant.

The curves intersect at (1, 1).

Now, let's find the centroid of the region in the first quadrant.

First,  find the limits of integration:

1. For x:

The curve  \(\(y = x^9\)\) is the upper curve, and it intersects the x-axis at x = 0  and the y-axis at x=1.

So, the limits of integration for x are \(\(0 \leq x \leq 1\)\).

2. For y: The curve \(\(x = y^9\)\) is the right curve, and it intersects the y-axis at y=0 and the x-axis at y=1.

So, the limits of integration for y are \(\(0 \leq y \leq 1\)\).

Now,  set up the integrals:

\(\[\bar{x} = \frac{\int_{0}^{1} x \cdot x^9 \, dx}{\int_{0}^{1} x^9 \, dx}\]\)

\(\[\bar{y} = \dfrac{\int_{0}^{1} y \cdot y^9 \, dy}{\int_{0}^{1} y^9 \, dy}\]\)

1. \(\(\int_{0}^{1} x \cdot x^9 \, dx\):\)

\(\[\int_{0}^{1} x \cdot x^9 \, dx = \int_{0}^{1} x^{10} \, dx\)

                 \(= \left[\dfrac{x^{11}}{11}\right]_{0}^{1} = \dfrac{1}{11}\]\)

2. \(\(\int_{0}^{1} x^9 \, dx\):\)

\(\[\int_{0}^{1} x^9 \, dx = \left[\dfrac{x^{10}}{10}\right]_{0}^{1}\)

             \(= \dfrac{1}{10}\]\)

3.\(\(\int_{0}^{1} y \cdot y^9 \, dy\):\)

\(\[\int_{0}^{1} y \cdot y^9 \, dy = \int_{0}^{1} y^{10} \,\) dy

                 \(= \left[\dfrac{y^{11}}{11}\right]_{0}^{1} = \dfrac{1}{11}\]\)

4. \(\(\int_{0}^{1} y^9 \, dy\):\)

\(\[\int_{0}^{1} y^9 \, dy = \left[\frac{y^{10}}{10}\right]_{0}^{1}\)

            \(= \dfrac{1}{10}\]\)

Now, the centroid coordinates:

\(\[\bar{x} = \dfrac{\frac{1}{11}}{\dfrac{1}{10}} = \dfrac{10}{11}\]\)

\(\[\bar{y} = \dfrac{\frac{1}{11}}{\dfrac{1}{10}} = \dfrac{10}{11}\]\)

So, the centroid of the region is \(\(\left(\dfrac{10}{11}, \dfrac{10}{11}\right)\)\).

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The standard deviations above the mean that a student have to score to be publicly recognized will be 0.674.

From the information given, it was stated that the students who score in the top 16 percent are recognized publicly for their achievement by the Department of the Treasury.

Based on the information given, it should be noted that the appropriate thing to do is to find the z score for the 75th percentile.

This will be looked up in the distribution table. In this case, the value is 0.674. Therefore, standard deviations above the mean that a student have to score to be publicly recognized will be 0.674.

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Answer:

-11 > - 12 (because on a number line, -11 is closer to 0)

-2/3 > -5/6 (because on a number line, -11 is closer to 0)

I -22 l = 22 (because absolute value makes the -22 into 22)

l -450 l > - 450 (because absolute value makes -450 into 450)

The equation 2 log₅ x = log₅ 4 + log₅ 9 has two solutions: x = 6.

To solve the equation 2 log₅ x = log₅ 4 + log₅ 9, we can use logarithmic properties to simplify and find the value of x.

Using the properties of logarithms, we can rewrite the equation as follows:

2 log₅ x = log₅ (4 * 9)

Next, we simplify the right side:

2 log₅ x = log₅ (36)

Now, we can use the property of logarithms that states logₐ b = c is equivalent to aᶜ = b. Applying this property, we have:

x² = 36

Taking the square root of both sides, we get:

x =  √36

Since the square root of 36 can be either positive or negative, we have two possible solutions:

x = 6

It's important to note that when working with logarithmic equations, we must always check if the obtained solutions satisfy the domain restrictions of the original equation. In this case, since the logarithm has a base of 5, the solution x = 6.

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answer 1 :

3 ( r + (d - 2(r - d^2)))

answer 2 :

-6d^2 + 3d - 3r

Answer:

I have completed the answers and attached them to the explanation.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The question asks for a subtraction expression:

length is always a positive number so bigger number first here.

OB = 4-(-1)              >only moves in x direction so subtract x's

AB = 4-(-2)             >only moves in y direction so subtract y's

The kite is approximately 57.6 feet above the ground.To find the height of the kite above the ground, we can use trigonometry and the given information about the angle of elevation and the length of the string.

Let's denote the height of the kite above the ground as h.

We can use the tangent function, which relates the angle of elevation to the opposite and adjacent sides of a right triangle:

tan(angle) = opposite / adjacent

tan(29°) = h / 110

To isolate h, we can multiply both sides of the equation by 110:

110 * tan(29°) = h

Using a calculator, we find:

h ≈ 57.6 feet

Note: When rounding the final answer, it is important to consider the given precision and units of measurement. In this case, rounding to the nearest tenth of a foot is appropriate.

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Answer:

the way in which factors are grouped in a multiplication problem does not change the product.

Step-by-step explanation:

The value of y from x= 0 to x = 3 is: y = 5(2)⁰ = 5, y = 5(2)¹ = 10, y = 5(2)² = 20, y = 5(2)³ = 40. The most rapid rate of change is: y = 7ˣ. The constant 1.20 is greater than 1 thus, the function is exponential growth.

The formula for an exponential function is f (x) = axe, where x is a variable and an is a constant that serves as the function's base and must be bigger than 0. The transcendental number e, or roughly 2.71828, is the most often used exponential function basis.

The given function is:

y = 5(2)ˣ

The value of y from x= 0 to x = 3 is:

y = 5(2)⁰ = 5

y = 5(2)¹ = 10

y = 5(2)² = 20

y = 5(2)³ = 40

The most rapid rate of change as x increases beyond 0 is:

y = 7ˣ

This is observed as the graph increases rapidly with change in value of x.

3. y = (1.20)ˣ

The constant 1.20 is greater than 1 thus, the function is exponential growth.

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Answer:

B.   3x = 90

Step-by-step explanation:

m<QPS + m<RPS = m<QPR

Let m<RPS = x

Then m<QPS = 2x

2x + x = 90

3x = 90

Answer: B.   3x = 90

BFS has an exponential space complexity with respect to d because it stores all the nodes at the same depth level before moving on to the next level

DFS doesn't have an exponential space complexity with respect to d because it only stores the nodes that need to be visited next.

The space complexity of breadth-first search (BFS) is O(\(b^d\)) and the space complexity of depth-first search (DFS) is O(bd), where b is the maximum branching factor of the search tree and d is the maximum depth of the tree.

The reason for the difference in the space complexities is that BFS uses a queue to store the nodes to be visited, while DFS uses a stack.

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The statement about function g which is true is that: function g is exponential because g(x) changes by equal factors over equal intervals of x.

The slope of a line simply refers to the gradient of a line and it's typically used to describe both the ratio, direction and steepness of an equation of a straight line.

Mathematically, the slope of a straight line can be calculated by using this formula;

\(Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}\)

Slope = (40 - 10)/(2 - 1)

Slope = 30/1

Slope = 30

Slope = (160 - 40)/(3 - 2)

Slope = 120/1

Slope = 120.

Factor = 40/10 = 4

Factor = 160/40 = 4

Factor = 640/160 = 4.

Therefore, function g is exponential because g(x) changes by equal factors over equal intervals of x.

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Answer: 1.54

Step-by-step explanation:

Given that :

Z = normal random variable

Area to the left of z = 0.9382

For a random normal distribution ;

P(Z < x) = 0.9382

Using the Z table (standard normal distribution table) ;

Locating the probability value (0.9382) on the table and picking the intersecting z value both horizontally and vertically :

Horizontal value = 1.5

Vertical value = 0.04

Horizontal + vertical = (1.5 + 0.04) = 1.54

Answer:

Step-by-step explanation:

8*4 1/3= 34 2/3 or 34.6

Step-by-step explanation:

To eliminate x in the system of equations:

1. Multiply Equation 1 by 9 and multiply Equation 2 by -4, this gives:

Equation 1: 36x -54y = 90

Equation 2: -36x - 8y = -28

2. Add the two equations together to eliminate x:

(36x - 54y) + (-36x - 8y) = 90 - 28

Simplifying, we get:

-62y = 62

3. Solve for y:

y = -1

4. Substitute y = -1 into one of the original equations, say Equation 1:

4x - 6(-1) = 10

Simplifying, we get:

4x + 6 = 10

5. Solve for x:

4x = 4

x = 1

Therefore, the solution to the system of equations is x = 1 and y = -1. We can check that these values are correct by substituting them back into the original equations and verifying that they satisfy both equations.

Answer:

The correct equation that initially models the value of Rob's boat is option A, y = 40,000(0.93)*.

Since the value of the boat decreased by 7% each year, the value of the boat after three years can be represented by:

y = 40,000(0.93)^3

where y is the value of the boat after three years, and 40,000 is the initial value of the boat.

Simplifying this equation, we get:

y = 40,000(0.7951)

y = 31,804

However, we know that the actual value of the boat after three years was $32,174.28. This means that our initial assumption that the boat decreased by 7% each year is incorrect and we need to adjust the equation accordingly.

To find the correct equation, we can use the formula for exponential decay:

y = a(1 - r)^t

where y is the final value, a is the initial value, r is the rate of decay (expressed as a decimal), and t is the time in years.

In this case, we know that the final value of the boat is $32,174.28, and that the boat was owned for three years. We also know that the value of the boat decreased by 7% each year.

So we can set up an equation:

32,174.28 = 40,000(0.93)^3

Simplifying this equation, we get:

32,174.28 = 31,804.00

This equation is approximately true, which means that the initial value of the boat was $40,000 and the correct equation that initially models the value of Rob's boat is:

y = 40,000(0.93)^t

where t is the time in years.

The measure of distance x, that is, the distance between a point P and the point of horizon, is equal to 284.372 miles.

In this problem we must determine the distance between a point P located about earth's circumference and the point of horizon, located on earth's circumference. Since the line between these two points is tangent to earth, then, distance x can be found by Pythagorean theorem:

x = √[(3959 mi + 10.2 mi)² - (3959 mi)²]

x = 284.372 mi

The distance x is equal to 284.372 miles.

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The statement that describes the transformations needed to go from F(x) to G(x) is statement A.

First, we know that:

\(F(x) = x^2\\\\G(x) = -(1/3)*(x + 4)^2\)

Now, notice that we can rewrite G(x) as:

\(G(x) = -(1/3)*F(x + 4)\)

So, if we start with F(x) and first we apply a vertical compression of scale factor K = 1/3, we get:

\(g(x) = (1/3)*F(x)\)

If now we apply a reflection over the x-axis, we get:

\(g(x) = -(1/3)*F(x)\)

Finally, we need to apply a translation of 4 units to the left, so we get:

\(g(x) = -(1/3)*F(x + 4) = G(x).\)

Then the correct statement is the one in option A.

"The graph of G(x) is the graph of F(x) compressed vertically, flipped over the x-axis, and shifted 4 units to the left."

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The number of students per teacher is 23.

The number of students per tutor is 9.

The number of tutors needed for 90 students is 10 tutors.

In order to determine the number of students per teacher and per tutor, divide the total number of students by the number of teachers and by the number of tutors.

Division is the mathematical operation that is used to determine the quotient of two or more numbers. Division entails grouping a number into equal groups using another number. The sign used to denote division is ÷

Number of students per teacher = total number of students / total number of teacher

69 / 3 = 23 students per teacher

Number of students per tutor = total number of students / total number of tutors

45 / 5 = 9 students per tutor

In order to determine the number of tutors needed for 90 students, divide 90 by 9.

90 / 9 = 10 tutors

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Answer: 189 m^2

Step-by-step explanation:

Area = (Diagonal 1 x Diagonal 2) ÷ 2

Answer:

B. 8cm*12cm

Step-by-step explanation:

Area is the product of the two sides:

6*16 = 96

8*12 = 96

10*10 = 100

Perimeter is the sum of all four sides:

6+16+6+16 = 44

8+12+8+12 = 40

The answer is B. 8cm*12cm

Using relations in a right triangle, the secant of angle θ is given by:

D. 5/4.

The relations in a right triangle are given as follows:

Using the Pythagorean Theorem, the hypotenuse of the triangle is given as follows:

h² = 9² + 12²

h = sqrt(9² + 12²)

h = 15.

The secant of an angle is 1 divided by the cosine, hence:

Which means that option D is correct.

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