gxyhtdgujfzrgjinfdtg​

Answer:

See below

Step-by-step explanation:

g (h(6))   :

   h (6) =  3 ( 6^2) + 2 = 110

   then g (110) =   sqrt (110)

h (g(5))

    g(5) = sqrt 5

        then h( sqrt5) = 3 ( sqrt5)^2 + 2 = 17

Lex will need approximately 18.96 units of tile to surround his pool. The perimeter of the quadrilateral is the sum of these lengths.

To find the number of units of tile Lex will need to surround his pool, we can calculate the perimeter of the quadrilateral ABCD.
Given the coordinates of the vertices on the coordinate plane, we can calculate the lengths of the sides:
AB = \(\sqrt((3-0)^2 + (5-4)^2) = \sqrt(9+1) = \sqrt(10)\) = 3.16 units (rounded to the nearest hundredth)
BC = \(\sqrt((5-3)^2 + (-1-5)^2) = \sqrt(4+36) = \sqrt(40)\) = 6.32 units (rounded to the nearest hundredth)
CD = \(\sqrt((2-5)^2 + (-2+1)^2) = \sqrt(9+1) = \sqrt(10)\) = 3.16 units (rounded to the nearest hundredth)
DA = \(\sqrt((2-0)^2 + (-2-4)^2) = \sqrt(4+36) = \sqrt(40)\) = 6.32 units (rounded to the nearest hundredth)
The perimeter of the quadrilateral is the sum of these lengths:
Perimeter = AB + BC + CD + DA = 3.16 + 6.32 + 3.16 + 6.32 = 18.96 units (rounded to the nearest hundredth)
Therefore, Lex will need approximately 18.96 units of tile to surround his pool.

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Lex will need approximately 20.46 units of tile to surround his pool. To find the number of units of tile needed to surround the pool, we need to calculate the perimeter of the pool.

Given the coordinates of the four vertices of the pool:
    A(0, 4)
    B(3, 5)
    C(5, -1)
    D(2, -2)

We can find the length of segment AB using the distance formula:
    \(AB = \sqrt{(3-0)^2 + (5-4)^2} = \sqrt{9 + 1} = \sqrt{10} = 3.16\)units (rounded to the nearest hundredth).

The length of diagonal BD can also be found using the distance formula:
    \(BD = \sqrt{(2-3)^2 + (-2-5)^2} = \sqrt{1 + 49} = \sqrt{50} = 7.07\) units (rounded to the nearest hundredth).

Since angles A and C are right angles, we know that the opposite sides AB and CD are parallel. Similarly, the opposite sides AD and BC are parallel.

The perimeter of the pool is the sum of the lengths of all four sides:
    Perimeter = AB + BC + CD + AD
                      = 3.16 + BD + 3.16 + BD
                      = 6.32 + 7.07 + 7.07
                      = 20.46 units (rounded to the nearest hundredth).

Therefore, Lex will need approximately 20.46 units of tile to surround his pool.

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Answer: 5

Step-by-step explanation:

If the length is equal to x, the width is 3(x+2). To make it easier, we simplify 3(x+2) to 3x+6.

Perimeter is 2(l+w).

Substitute 2(l+w) with our values of length and width. You get:

2(x+(3x+6))=52

Then you solve the equation:

2(x+(3x+6))=52

2(4x+6)=52

8x+12=52

8x=40

x=5

The length is 5.

Using the percentage concept, supposing 520 out of 1000 respondents believe in global warming, 52% of respondents agreed that global warming is occurring.

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

\(P = \frac{a}{b} \times 100\%\)

In this problem, we suppose that 520 out of 1000 respondents believe in global warming, hence a = 520, b = 1000, and the percentage is of:

\(P = \frac{520}{1000} \times 100\% = 52\%\)

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Answer:

Step-by-step explanation:

\(f(5) = \sqrt{5 - 5} + 2\)

\(f(5) = \sqrt{0} + 2\)

\(f(5) = 2\)

The $10 scale is a good scale to use for the y-axis. 12 months is sufficient to plot the graph and display the changes.

What is a coordinate system?

coordinate system, Setup of reference lines or curves that are used to pinpoint the locations of points in space The most popular two-dimensional system is called Cartesian (after René Descartes). Points are identified by their separation from a reference point, known as the origin, along a horizontal (x) and vertical (y) axis (0, 0).

Let the y-axis represent the money for groceries and the x-axis the number of months.

Given is that, the grocery bills range from $110 to $170.

We can thus view the changes in the grocery bills over 7 intervals by placing a scale of $10 on the y-axis.

Consequently, a $10 scale is a good scale.

Additionally, the y-axis shows the number of months. It will be sufficient to plot the graph and display the changes in grocery bills over the course of 12 months.

Therefore, 12 points are enough to represent a month.

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1. The numbers to evaluate the equation are; +7 then +4

2. The numbers to evaluate the equation are: -7 and -12

Any form of number which can be expressed with its sign (i.e either positive or negative) can be called a directed number. The sign gives the direction to which the number would be located on a number line. Thus all integers are directed numbers.

Considering the given question, the numbers are directed numbers. Thus we have;

i. - 5 - (-7) = -5 + 7

               = +4

The required numbers to evaluate the equation is as shown above.

ii. - 5 - 7 = -5 + (-7)

             = -5 - 7

             = -12

The required numbers to evaluate the equation is as shown above.

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A. To save for her payout annuity with an ordinary annuity set up thirty years before her retirement, Holly Krech must make a monthly payment of $175.97.

B. If she sets up the ordinary annuity twenty years before her retirement, Holly Krech must make a monthly payment of $432.00.

To calculate the monthly payment for an ordinary annuity set up thirty years before retirement, we can use the formula for the present value of an ordinary annuity. Given the deposit amount of $218,437.048 and the total amount received from the annuity of $432,000, and solving for the monthly payment, we find that Holly must make a monthly payment of $175.97.

For an ordinary annuity set up twenty years before retirement, we use the same formula for present value. With the deposit amount and total amount received unchanged, we solve for the monthly payment, which comes out to be $432.00.

It's important to note that the monthly payment increases when the annuity is set up closer to the retirement date. This is due to the shorter time period available for saving, resulting in a higher required contribution to reach the desired payout amount.

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Answer:

false

Step-by-step explanation:

False.

Access supports a wide range of built-in functions and operators that can be used to create calculated fields. These functions and operators include mathematical functions (such as multiplication, division, exponentiation), string functions (such as concatenation, trimming, and formatting), date and time functions, aggregate functions (such as sum, average, count), and more.

In addition, Access also allows you to create user-defined functions using VBA (Visual Basic for Applications), which can be used to perform custom calculations on your data.

Therefore, the statement "the only calculated fields you can create in Access are those involving addition and subtraction" is false.

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Answer:

The coordinates of D is;

Explanation:

The question can be illustrated diagramatically as;

The drawing is not to scale. it is just a way of explainuing the scenario.

To find the coordinates of the end point D(x,y).

Let us apply the mid point formula;

The same applys to y coordinates.

Given;

Substituting we have;

Also,

Therefore, the coordinates of D is;

The 4 is the number the student thought about.

To solve this problem, we will use algebraic expressions. First, let us define the unknown number, x. The problem states that "4 times my number increased by 30 equals 70 decreased by the number." This can be translated into the following equation:

4x + 30 = 70 - x

To solve for x, we need to isolate it on one side of the equation. Let's start by moving all the terms with x to the left side and all the constant terms to the right side.

4x + x = 70 - 30x + 4x + x = 40

Simplifying, we get:

10x = 40

Dividing both sides by 10:

x = 4

Therefore, the number that the student thought of is 4.

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On solving the provided question, we can say that we excluded example 2 above, a maximum of 3 triangles can be created with those rods.

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear.

\(2-inch, 3 inch, 4-inch\)

triangle, because 2+3 > 4, 2+4 > 3, and 3+4 > 2

\(2-inch, 3 inch, 5-inch\)

This is doesn't make  a triangle as  \(2+5 > 3, and 3+5 > 2,\)

2+3 is not more  than 5,, they cannot make triangle.

\(2-inch, 4 inch, 5-inch\)

triangle, because 2+4 > 5, 2+5 > 4, and 4+5 > 2

\(3-inch, 4 inch, 5-inch\)

a triangle, because 3+4 > 5, 3+5 > 4, and 4+5 > 3

Therefore, since we excluded example 2 above, a maximum of 3 triangles can be created with those rods.

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Answer:

43.35 years

Step-by-step explanation:

From the above question, we are to find Time t for compound interest

The formula is given as :

t = ln(A/P) / n[ln(1 + r/n)]

A = $2500

P = Principal = $200

R = 6%

n = Compounding frequency = 1

First, convert R as a percent to r as a decimal

r = R/100

r = 6/100

r = 0.06 per year,

Then, solve the equation for t

t = ln(A/P) / n[ln(1 + r/n)]

t = ln(2,500.00/200.00) / ( 1 × [ln(1 + 0.06/1)] )

t = ln(2,500.00/200.00) / ( 1 × [ln(1 + 0.06)] )

t = 43.346 years

Approximately = 43.35 years

1 standard deviation =  8 inches. the answer is OPTION E

We know that 99.7% of American men have heights between 5'0" and 7'0". Since height is normally distributed, we can use the empirical rule to estimate the standard deviation.

According to the empirical rule, 99.7% of the data falls within 3 standard deviations of the mean. Therefore, we can say that the range of heights from 5'0" to 7'0" is 3 standard deviations.

We can use this information to estimate the standard deviation as follows:

Range of heights = 7'0" - 5'0" = 2 feet

3 standard deviations = 2 feet

1 standard deviation = 2/3 feet

1 foot = 12 inches

Therefore, 1 standard deviation = 2/3 * 12 inches = 8 inches

So, our estimate of the standard deviation of the height of American men is 8 inches. Therefore, the answer is OPTION E in the given options.

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Complete question

If the heights of 99.7% of American men are between 5'0"

and 7'0", what is your estimate of the standard deviation of

the height of American men? (Assume the heights of

American Men are Normally Distributed).

A.) 1"

B.) 2"

C.) 4"

D.) 6"

E.) 8"

Answer

Option A is correct.

B' (15, 6) is the answer.

Explanation

To dilate a given coordinate (x, y) about the origin by a scale factor of n, we will obtain (nx, ny).

So, for the given coordinate (5, 2), dilating by the scale factor of 3, we will obtain

B (5, 2) = B' (5×3, 2×3) = B' (15, 6)

Hope this Helps!!!

A difference quotient in math is an expression that represents the rate of change of a function with respect to one of its variables.

In mathematics, the difference quotient is a formula that measures the rate at which a function changes over a small interval. Specifically, it measures the average rate of change of the function between two points on its graph.

The formula for the difference quotient is:

Here, f is the function, x is the starting point, h is the interval, and (x+h) is the ending point. Essentially, the difference quotient calculates the slope of the secant line between the two points on the graph.

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we can conclude that Sn is not isomorphic to Z/mZ for any m > 0 and any n > 2.

To prove that Sn is not isomorphic to Z/mZ for any m > 0 and any n > 2, we will use the fact that Sn is not abelian for n > 2.
Let's assume that Sn is isomorphic to Z/mZ for some m > 0. This means that there exists an isomorphism f: Sn -> Z/mZ between the two groups.
Since Sn is not abelian for n > 2, we can find two permutations σ, τ in Sn such that στ is not equal to τσ. Let's consider the images of these permutations under the isomorphism f: f(σ) and f(τ).
Now, since Sn is a symmetric group, it consists of permutations of n elements. In other words, Sn has n! elements. On the other hand, Z/mZ has m elements.
Since f is an isomorphism, it must preserve the group structure, meaning that the order of elements is preserved. However, the order of f(στ) (which is equal to f(σ)f(τ)) will be different from the order of f(τσ) (which is equal to f(τ)f(σ)), as στ is not equal to τσ.
This contradicts the fact that f is an isomorphism, as isomorphisms preserve the order of elements.

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Answer:

midpoint is (-15/2, -15/2)

Step-by-step explanation:

Finding the coordinates of the midpoint is easy.  All you have to do is find the average of the x-coordinates and the average of the y-coordinates of the endpoints of the segment.

So, in your case

(-8 - 7)/2 = -15/2 is the x-coordinate

(-7 - 8)/2 = -15/2 is the y-coordinate

Therefore, the midpoint is (-15/2, -15/2)

Answer:

(-7.5, -7.5)

Step-by-step explanation:

Remember that the formula is (x1+x2/2, y1+y2/2)

So, we know that -8 is x1 and -7 is y1. We also know that -7 is x2 and -8 is y2.

Lets plug this into our formula and see what we get.

(-8+-7/2, -7+-8/2)

Now lets find the x in the midpoint.

-8+-7/2 is equal to -15/2. This makes x equal to -7.5.

Now lets find the y in the midpoint.

-7+-8/2 is equal to -15/2 as well. This makes y equal to -7.5.

Now we can tell that the coordinates for midpoint will be:

(-7.5, -7.5)

MISCONCEPTIONS:

Always remember that midpoint is nothing like slope. The mid point is something you can point on a graph, wheareas slope is a function that can be lined on a graph.

The formulas for the two things are different as well. Slope is y/x, where you subtract the ys and xs from each other. In a way, midpoint is the exact opposite, which is adding the xs and ys together.

I hope this helps ;)

Good luck!

Answer:

x= -7

Step-by-step explanation:

the labeled angles are alternate-interior angles which are congruent

we can solve for 'x' by creating this equation:

x+139 = 132

x = -7

The relationship between two variables that begins as a direct correlation and then becomes an indirect correlation, or vice versa, is known as a nonlinear correlation.

A nonlinear correlation is when the relationship between two variables is not linear - that is, the correlation between them does not increase or decrease proportionately as one variable increases or decreases. Nonlinear correlations are important in research as they can suggest that a phenomenon is more complex than a linear correlation would indicate.

For example, if two variables have a direct linear correlation, then a small increase in one variable would result in a predictable increase in the other. However, with a nonlinear correlation, a small increase in one variable may result in a much larger or much smaller increase in the other. This suggests that other factors, not captured in the linear correlation, are influencing the relationship between the two variables.

Nonlinear correlations can be positive (the two variables increase or decrease together), negative (one variable increases as the other decreases, or vice versa), or both. Depending on the circumstances, the type of nonlinear correlation can have important implications for the research question being studied.

It is important to note that nonlinear correlations may be caused by a variety of factors, including chance, measurement errors, or the presence of an extraneous variable that has not been accounted for. As such, they should always be further investigated and not taken as an absolute conclusion.

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Answer:

C

Step-by-step explanation:

Just substitute the values of X into each equation until you get it

y=3.5(0)² - 9.5(0) +29

y=0-0+29

y=29

Therefore, the answer is C

Answer

put 1 on top and exo on bottom

Step-by-step explanation:

Answer:

here's your answer in the given picture

JL, LK, JK are the smallest angle of a triangle is located across from its smallest side. The biggest side is on the other side of the biggest side.

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Answer:

B

Step-by-step explanation:

The points where f(x) intersects g(x) are - 4 and 2.5. These points are the solution of the equation f(x)=g(x)

Answer:

(-4,8) and ( 2.5, -8)

Step-by-step explanation:

The solutions are where the two graphs intersect

They intersect at x = -4  and y = 8   and at x = 2.5  and y = -8

(-4,8) and ( 2.5, -8)

Answer:

x=the circumference of absolute end triangularitizeationing particle matter

Answer:

Answer is y=6 (option C).

Step-by-step explanation:

|10 - 5y| = 20

First equation is just as written for first solution:

10 - 5y = 20

Subtract 10 from both sides to eliminate the 10.

-5y = 10

divide both sides by -5 to eliminate the -5 and isolate the y.

y = -2

Distribute negative sign through equation for a second solution.

|10 - 5y| = 20

-(10 - 5y) = 20

-10 + 5y = 20

Add 10 to both sides to eliminate the 10.

5y = 30

divide both sides by 5 to eliminate the 5 and isolate the y.

y = 6

y = 6 is the only answer listed in the 4 options.