find the value of x

16
14
10
9

Answer: It would only be on the x-axis, because, x comes before y in the parenthesis, (X,Y). So you would go over to the right 8, and up 0.

Answer:

1: Domain: 2, 4, 3, 6, 2

2: Range: -3, 6, -1, 6, 3

3: Not a function

Explanation:

Domain is x-values aka input value. Range is y-value aka output value. The input value (x) is the first number in the ordered pair and the output value (y) is the second number. For example, say the pair is (4,6) The input value is 4 and output value is 6. We could also say 4 is the Domain and 6 is the Range. In conclusion, x is Domain and range is y.

In order for a set of pairs to be a function, the x values can't be repeated. For example, say the the x values are 3, 6, 7, 4, and 3. Then, this is not a function because there are two 3's that are x values. This only applies for x value (input value) and not y value. There can be multiple of the same y-values aka output value.

Answer:

10

Step-by-step explanation:

The time it takes to complete the one rotation is 0.44 seconds (rounded to two decimal places). The three measurements you obtained were 2.1 seconds, 2.3 seconds, and 2.2 seconds.

Step 1: Add the three measurements together.

Step 2: Divide the sum by 3 to find the average time.

Step 3: Divide the average time by 5 to find the time it takes to complete one rotation.

Step 1: Add the three measurements together.

\(2.1 + 2.3 + 2.2 = 6.6\)

Step 2: Divide the sum by 3 to find the average time.

\(6.6 ÷ 3 = 2.2\)

Step 3: Divide the average time by 5 to find the time it takes to complete one rotation.

\(2.2 ÷ 5 = 0.44\)

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47 adult tickets and 208 children tickets were sold

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

Let x= number of adults

Let y= number of children

Equations:

x+y= 255-----(1)

4x+1.5y=500-----(2)

(1)=> y= 255-x

(2) =>   4x+1.5(255-x)=500

         4x + 382.5-1.5x=500

                         2.5x = 500-382.5 =117.5

                               x= 117.5/2.5 = 47

y= 255-47 = 208

47 adult tickets and 208 children tickets were sold

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Answer:

x = 6

Step-by-step explanation:

B is the midpoint of AC. So, the length of AB equals length of BC

BC = AB

4x - 4 = 20  {add 4 to both sides}

4x  -4 + 4 = 20 + 4

4x = 24  { divide both sides by 4}

4x /4 = 24/4

x = 6

Check the picture below.

\(\stackrel{\measuredangle N}{(5x-8)}~~ + ~~\stackrel{\measuredangle O}{(x-5)}~~ + ~~\stackrel{\measuredangle P}{(6x+1)}~~ = ~~180 \\\\\\ 12x-12=180\implies 12x=168\implies x=\cfrac{168}{12}\implies x=14 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\measuredangle O}{(x-5)}\implies (14)-5\implies {\Large \begin{array}{llll} \stackrel{\measuredangle O}{9} \end{array}}\)

The polynomials 1, 1-t, \(2-4t+t^2\) and \(6-18t+9t^2-t^3\) are linear independent and span \(P_3\). So the first four Laguerre polynomials forms a basis of \(P_3\).

We have the first four Laguerre polynomials. Here \(P_3\) is the space of all polynomials of degree at most 3.

i.e., \(P_3= \{ a+bx+cx^2+dx^3| a,b,c,d \in R\}\)

So the dimension of \(P_3\) is 4. Also there are 4 Laguerre polynomials.

Now to show that the first four Laguerre polynomials forms a basis, it remains to show that they are linear independent.

Consider the polynomials 1, 1-t, \(2-4t+t^2\) and \(6-18t+9t^2-t^3\). Write them into a matrix with the co-efficient of 1, t, \(t^2\) and \(t^3\) in each row.

\(\left[\begin{array}{cccc}1&1&2&6\\0&-1&-4&-18\\0&0&1&9\\0&0&0&-1\end{array}\right]\)

This matrix is already in its echelon form with all its pivots occupied. The pivot of first row is 1. The pivot of 2nd row is -1. The pivot of 3rd row is 1 and the pivot of 4th row is -1.

Hence the polynomials are linearly independent since the columns of the above matrix are linearly independent.

In conclusion, the first four Laguerre polynomials 1, 1-t, \(2-4t+t^2\) and \(6-18t+9t^2-t^3\)  forms a basis for \(P_3\).

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Answer:

11

Step-by-step explanation:

25 than you divided 5 + 2 than you multiply 3 and you get

Answer:

11

Step-by-step explanation:

The equation of the line in point slope form is y - 5 = 5 / 7 (x - 2).

The equation of a line can be represented in slope intercept form as follows:

Therefore,

y = mx + b

where

Therefore, the equation in point slope form can be represented as follows:

y - y₁ = m(x - x₁)

where

Hence, using (2, 5), the slope is 5 / 7.

Hence, the equation is y - 5 = 5 / 7 (x - 2)

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The third order approximation of arctan (2) at r = 0 gives us an approximation of arctan (0.1) as 0.1. To find the third order approximation of arctan (2) at r = 0, we can use the Taylor series expansion of arctan(x) around r = 0:

arctan(x) = x - x^3/3 + x^5/5 - x^7/7 + ...

Substituting x = 2, we get:

arctan(2) = 2 - 2^3/3 + 2^5/5 - 2^7/7 + ...

To find the third order approximation, we stop after the x^5 term:

arctan(x) ≈ x - x^3/3 + x^5/5

Substituting x = 2, we get:

arctan(2) ≈ 2 - 2^3/3 + 2^5/5

arctan(2) ≈ 1.1071

Now we can use this approximation to approximate arctan(0.1). We know that arctan(0.1) is close to arctan(0) = 0, so we can use a first-order approximation:

arctan(0.1) ≈ arctan(0) + arctan'(0)(0.1)

Taking the derivative of arctan(x), we get:

arctan'(x) = 1/(1+x^2)

Substituting x = 0, we get:

arctan'(0) = 1

So we have:

arctan(0.1) ≈ 0 + 1(0.1)

arctan(0.1) ≈ 0.1

Therefore, our third order approximation of arctan (2) at r = 0 gives us an approximation of arctan (0.1) as 0.1.

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Answer:

hello the table related to this question is missing attached below is the missing table

answer : An exponential function is much better fit because there is no fixed rate in the table

Step-by-step explanation:

An exponential function is much better fit because there is no fixed rate in the table attached but the values in the table keeps increasing exponentially, hence an Exponential function will be a better fit, But a linear function would be preferred only if there is a fixed rate

Answer:

1

Step-by-step explanation:

The sum of probability of two complementary events is always equal to 1. This happens because the probability of a complementary event is always determined by deducting the probability of a given event from 1.

Answer:

B(9) = 11 means the depth of the water in the bathtub, 9 minutes after Tyler began to fill the bathtub is 11 inches

Step-by-step explanation:

Whereby the function is expressed as B(t) = d,

Where;

d = The depth of the water

Therefore, when we have B(9) = 11, by comparing with the general form of the function, B(t) = d, we have;

t = 9 = The time in minutes after Tyler began to fill the bathtub = 9 minutes

d = The depth of the water = 11 inches

Which gives the meaning of the equation, B(9) = 11 as the depth of the water in the bathtub, 9 minutes after Tyler began to fill the bathtub is 11 inches.

The most likely age-related effect for SuLyn of the medications she takes every day is (c) Slowed clearance of drugs from her system, resulting in potentially cumulative effects.



As people age, various changes in their bodies may affect the way drugs are absorbed, distributed, metabolized, and eliminated. In older adults, such as SuLyn, slowed clearance of drugs from the system is a common concern. This can lead to the following issues:

1. Reduced kidney function: With age, the kidneys become less efficient at filtering and eliminating drugs from the body. This can cause drug levels to build up in the system, increasing the risk of side effects or toxicity.

2. Slower liver metabolism: The liver is responsible for breaking down and metabolizing many medications. As people age, liver function declines, leading to a slower metabolism of drugs and potentially cumulative effects.

3. Changes in body composition: Older adults tend to have a higher percentage of body fat and a lower percentage of lean body mass. This can affect how drugs are distributed in the body, leading to changes in drug levels and a slower clearance rate.

These factors may contribute to a higher risk of cumulative effects and drug interactions in older adults, like SuLyn, who are taking multiple medications. It is essential for healthcare professionals to closely monitor drug levels and adjust doses accordingly to minimize potential adverse effects.

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Answer:

C) Triangular Prism

Answer:

It should be 75 inches

Step-by-step explanation:

The ratio of the number of Au particles to the number of Sn particles should be 3:1. This means there should be 3 parts of Au particles for every 1 part of Sn particles.

We can determine the ratio based on the densities of Au and Sn. The ratio of their densities is 19.3 g/cm³ (Au) to 7.27 g/cm³ (Sn), which simplifies to approximately 2.66:1. Since we know the ratio of particles is given as 2:1, there is a discrepancy. To resolve this, we need to adjust the ratio of particles. Given the original ratio of 2:1, we can assign the number of Au particles as 2x and the number of Sn particles as x. To match the density ratio of 2.66:1, the adjusted ratio should be 3:1.

The correct ratio should be 3:1, with three times as many Au particles as Sn particles, in order to align with the density ratio between Au and Sn.

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The net pay of  Alisha Gregory  is $30606.4

Since we are given the weekly gross  pay of her  is $640

The annual gross pay will  be  52 *  640 =33280.

Here the local income tax is  1.5% of the gross, which is  1.5/100 * 33280  = 499.2 and  it is also specifically said that the state tax is the 3.0% of taxable income.

So we have:

3/100 * 33280= 998.4

The medical insurance is $1,940 for a year from where the company  pays 60 %

For which we have:

60/100 *1940

= 1164

At the last he pays  $4.50  for union dues and $7.50 for others.

Since we know that the net pay is nothing but the amount we get after subtracting the deductions from the annual gross pay

So the net pay = 33280- (499.2+998.4+1164+4.50+7.50)

                         =  33280  -(2673.6)

                         =  30606.4

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The equation to relate the flow of water from the 8-inch pipe (1600) to the flow of water from the 4-inch pipe (2400) is 2400.

To relate the flow of water from the 8-inch pipe to the flow of water from the 4-inch pipe, we can use the equation of continuity, which states that the product of the cross-sectional area of a pipe and the velocity of the fluid is constant.

Let's assume that the velocity of water flowing through the 8-inch pipe is V1 and the velocity of water flowing through the 4-inch pipe is V2. The cross-sectional area of the 8-inch pipe is A1 = π\((8/2)^2\) = 64π square inches, and the cross-sectional area of the 4-inch pipe is A2 = π\((4/2)^2\) = 4π square inches.

According to the equation of continuity, A1 * V1 = A2 * V2.

Substituting the given values, we have:

64π * V1 = 4π * V2

Simplifying, we get:

16V1 = V2

So, the equation to relate the flow of water from the 8-inch pipe (1600) to the flow of water from the 4-inch pipe (2400) is:

1600 * 16 = 2400

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Answer:

Angle S is a straight angle.

Step-by-step explanation:

180° is a straight line.

To divide two fractions, simply cross-multiply as following:

Part A: To find the total surface area of the rectangular prism, we need to calculate the areas of all six faces and then add them together.

Given dimensions:

Length = 7 feet

Width = 3 feet

Height = 4.8 feet

Surface Area of each face:

Front and back faces: Length * Height

= 7 feet * 4.8 feet

= 33.6 square feet

Top and bottom faces: Width * Length

= 3 feet * 7 feet

= 21 square feet

Side faces: Width * Height

= 3 feet * 4.8 feet

= 14.4 square feet

Total Surface Area:

2 * (Front and back faces) + 2 * (Top and bottom faces) + 2 * (Side faces)

= 2 * 33.6 square feet + 2 * 21 square feet + 2 * 14.4 square feet

= 67.2 square feet + 42 square feet + 28.8 square feet

= 137 square feet

Therefore, the total surface area of the bench is 137 square feet.

Part B: To calculate the cost of covering the bench with ceramic tiles, we need to multiply the total surface area by the cost per square foot.

Cost per square foot = $0.89

Total Surface Area = 137 square feet

Total cost to cover the bench:

= Cost per square foot * Total Surface Area

= $0.89 * 137 square feet

= $121.93

Therefore, it will cost $121.93 to cover the bench with ceramic tiles.

Answer:

El área de la casa es de 1,304 m²

Step-by-step explanation:

De las dimensiones dadas en línea, tenemos que el área del jardín = 640 m²

Las dimensiones del jardín son;

Longitud = 40 m.

Ancho = a m

Por lo tanto, 40 × a = 640

a = 640/40 = 16 m

La dimensión del compuesto es así;

Longitud = 40 + 14 = 54 m

Ancho = 20 + a = 20 + 16 = 36 m

El área del compuesto = Área de la casa + Área del jardín

El área del compuesto = Ancho del compuesto × Longitud del compuesto

El área del compuesto = 36 × 54 = 1,944 m²

∴ 1,944 m² = Área de la casa + Área del jardín

1,944 m² = Área de la casa + 640 m²

Área de la casa = 1,944 m² - 640 m² = 1,304 m²

El área de la casa = 1,304 m².

Answer:

268

Step-by-step explanation:

The volume formula for a sphere is: V= \(\frac{4}{3}\pi r^{3}\)

We also know that \(\pi\) is approximately 3.14.

You have to know these in order to solve the question..

Since we also know the diameter is 8 we can also find the radius (r) ,which is half of the diamater so 4.

Now all we need to do it plug in the numbers.

V= \(\frac{4}{3}\)(3.14)\(4^{3}\)

Now solve for the equation.

V=267.94...

So rounded that is 268.

Answer:

(x+5) (x+9)

Step-by-step explanation:

In order to the trinomial

x

2

+

14

x

+

45

Begin by finding the factors for the first term

x

2

=

x

⋅

x

Place those factors as the first term in each parenthesis

(

x

_

)

(

x

_

)

Since both signs of the trinomial are positive you will be adding the factors and both signs will be positive.

(

x

+

_

)

(

x

+

_

)

Now determine the factors of the third term

45

=

1

⋅

45

,

3

⋅

15

,

5

⋅

9

We need the factors that will add up to the middle term

14

=

5

+

9

Place these factors as the second term in each of the parenthesis.

(

x

+

5

)

(

x

+

9

)

(x-5)(x-9) is the factored form of the expression  x²-14x+45

The given expression is x²-14x+45

x is the variable in the expression

x square minus forteen times of x plus forty five

Plus and minus are operators in  the expression

x²-9x-5x+45

Now let factor out the expression

x(x-9)-5(x-9)

(x-5)(x-9)

Hence, the factored form of the expression is (x-5)(x-9)

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The score of the top 2.5% of the applicants would be at least 610.

To find the score of the top 2.5% of the applicants, we need to use the z-score formula:

z = (x - μ) / σ

where x is the score we want to find, μ is the mean (460), σ is the standard deviation (80), and z is the z-score corresponding to the area under the normal curve to the right of x.

We want to find the z-score such that the area to the right of z is 0.025 (since we're looking for the top 2.5%). Using a table or calculator, we find that the z-score corresponding to an area of 0.025 to the right is approximately 1.96.

So,

1.96 = (x - 460) / 80

Solving for x, we get:

x = 1.96 * 80 + 460 = 610.8

Rounding to the nearest integer, we get 610. Therefore, the score of the top 2.5% of the applicants would be at least 610.

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The measure of ∠CFE is 40°

To solve for triangle ∠CEF, we know that

Parallel to DE is BC

Arc length BD = 58°

Arc length DE = 142°

We can then draw a diameter across the center of the circle and give it a name as the first step. The diameter in this situation is line ZT.

The arcs BD and DE are split in half by the line ZT.

Which is:

Arc SC = 1/(1/2(arc BC) = 1/(58)

Arc SC = 29°

142 = 1/2(arc DE) + arc TE

Arc TE = 71°

Sum of the angles of a semicircle is 180 degrees: Arc SC + Arc CE + Arc TE

29° + Arc CE + 71° = 180°

Arc CE + 100° = 180°

Arc CE = 180-100

Arc CE = 80°

Angle inscribed equals half of angle intercepted

CFE = 1/2 of Arc CE

<CFE = 1/2(80)

< CFE = 40°

The above answer is based on the full question below;

In circle A shown, BC || DE , mBC=58° and mDE=142°. Determine the measure of ZCFE . Show how you arrived at your answer

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Answer: 24$

Step-by-step explanation: First, you need to do 3/5*60 which is  36$.

Then you need to find 2/3 of 36$ which is 24$. So Brittany now has 24$ after going to the movies. I hope this helps you!