a trapezoid has bases of lengths 8 and 21. Find the trapezoids height if its area is 261

Answer:

196

Step-by-step explanation:

Yoona will charge $20.75 to walk 8 dogs based on the trend of Yoona charges to walk dogs.

First, find the pattern in the amount that Yoona charges to walk each additional dog.

Additional cost to walk 2 dogs:

= 40 - 37.25

= $2.75

Additional cost to walk 3 dogs:

= 37.25 - 34.50

= $2.75

Additional cost to walk 4 dogs:

= 34.50 - 31.75

= $2.75

Every extra dog therefore leads to a fall in price by $2.75. For eight dogs, Yoona would charge:

= 40 - (7 x 2.75)

= 40 - 19.25

= $20.75

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Answer: The answer is 226.2 feet.

Step-by-step explanation: The formula to find the total surface area of a cylinder is 2\(\pi\) x radius squared x height. If you use the formula you will get 226.19 feet as your answer and I rounded that to 226.2 feet.

UR MOM

Answer:

X=12 have a good day!

Step-by-step explanation:

hope this helped

Answer:

2800

Step-by-step explanation:

The dress's price increased by a factor of 9/7 so to undo this you flip the numbers around to get 7/9 and multiply the new price by this to get the original price.

The positivist research paradigm and design generate numerical or statistical data. (option b).

The positivist research paradigm and design emphasize the use of objective and measurable data. Positivism is based on the belief that there is an objective reality that can be studied and understood through scientific methods. This approach seeks to generate numerical or statistical data to test hypotheses, establish causal relationships, and make generalizations about the population under study.

Positivist researchers aim to collect empirical evidence through controlled experiments, surveys, or observations, and analyze the data using statistical analysis to draw conclusions. This approach contrasts with subjective or qualitative research methods that focus on understanding meaning, subjective experiences, and contextual interpretations. The correct option is b.

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Answer:

2nd option

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = \(\frac{1}{5}\) x + 4 ← is in slope- intercept form

with slope m = \(\frac{1}{5}\)

given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{\frac{1}{5} }\) = - 5 , then

y = - 5x + c ← is the partial equation

to find c substitute (5, - 4 ) into the partial equation

- 4 = - 25 + c ⇒ c = - 4 + 25 = 21

y = - 5x + 21 ← equation of perpendicular line

The volume of the sample of gas is 0.0032661 cubic meters (m³).

To convert the volume from cubic centimeters (cm³) to cubic meters (m³), you need to understand the relationship between the two units. There are 1,000,000 cubic centimeters in one cubic meter.

So, to convert the given volume of 3266.1 cm³ to cubic meters, you divide it by the conversion factor:

3266.1 cm³ ÷ 1,000,000 = 0.0032661 m³

This means that the given sample of gas has a volume of approximately 0.0032661 cubic meters.

When converting between cubic centimeters and cubic meters, you are scaling the volume by a factor of 1,000,000.

Since a cubic meter is much larger than a cubic centimeter, dividing the volume by 1,000,000 results in a smaller value expressed in cubic meters.

Therefore, the volume of the sample of gas is approximately 0.0032661 cubic meters (m³).

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The moment of inertia (I) is a measure of an object's resistance to rotational motion around an axis. The moment of inertia of a cylinder can be calculated using the following formula:

I = (1/2) × m × r²

where:

I is the moment of inertia of the cylinder

m is the mass of the cylinder

r is the radius of the cylinder.

Here are the steps to calculate the moment of inertia for a cylinder:

Determine the mass of the cylinder. This can be done by weighing the cylinder on a scale or by using its density and volume. The formula for the mass of a cylinder is:

m = density × volume

Measure the radius of the cylinder. This is the distance from the center of the cylinder to its outer edge.

Substitute the values of m and r into the moment of inertia formula:

I = (1/2) × m × r²

Calculate the moment of inertia using a calculator.

Note that the moment of inertia of a hollow cylinder is different from that of a solid cylinder. To calculate the moment of inertia of a hollow cylinder, you need to subtract the moment of inertia of the hollow space from the moment of inertia of the solid cylinder using the parallel axis theorem.

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Answer:$22.95

Step-by-step explanation: The original price is 51%

Discount is 55% of $51= 55/100×51=$28.05

Deduct the discount from the original price. $51-$28.05=$22.95

Answer: y = 4x + 1, 25 inches at 6 years old

Step-by-step explanation:

   Our y-intercept will be 1 (5 inches at a year old - 4 inches per year = 1) with a slope of 4 (4 inches a year). Our equation will look like this:

            y = 4x + 1

   Next, to solve for the length of the tusk at 6 years old, we will input this value of 6 and solve.

            y = 4x + 1 = 4(6) + 1 = 25 inches

   See attached for a graph.

   We can also check our work using a different method.

6 years - 1 year = 5 years

5 years * 4 inches a year = 20 inches

20 inches + current 5 inches = 25 inches at 6 years

Answer:

A = 70.88 units squared assuming that you're using the value pi

Step-by-step explanation:

Answer:

The angles x in the triangle is as follows:

10. x = 36

11 x = 8

The unknown angles in the triangle can be found as follows:

The sum of angles on a straight line is 180 degrees. Therefore,

10.

3x - 18 + 90 = 180

3x = 180 - 90 + 18

3x = 108

divide both sides by 3

x = 108 / 3

x = 36

11.

The sum of angles in a right triangle is 180 degrees. One of the angles of a right triangle is 90 degrees.

Therefore,

8x + 2 + 3x = 90

11x + 2 = 90

11x = 90 - 2

11x = 88

divide both sides by 11

x = 88 / 11

x = 8

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Answer:

Answer:So the maximum value of P is 138.Step-by-step explanation:

P(0,0)= 24(0) + 30(0) =0

P(0,1)= 24(0) + 30(1) =30

P(5,0)= 24(5) + 30(0) =120

P(2,3) =24(2) + 30(3) = 138I also

If the linear equation is P = 24x + 30y. Then the maximum value of the linear equation P is 138.

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

The maximum value of P = 24x + 30y will be

P(0,0)= 24(0) + 30(0) =0

P(0,1)= 24(0) + 30(1) =30

P(5,0)= 24(5) + 30(0) =120

P(2,3) =24(2) + 30(3) = 138

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The men destroy on Animal Farm by using the windmill.

As per the explanation given in the chapter 8, we have identified that the next morning, the man called Frederick and 14 men arrive at Animal Farm and attempt to take it by force.

But unfortunately the humans are initially successful, but after some time they blow up the windmill, then the animals are completely enraged and drive the men from the farm.

Here in order to destroy, then men are used a hammer and crowbar to drill a hole to pack with blasting powder, but all these are happened because of they are driven off after they use dynamite on the windmill.

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If letters and numbers can be repeated, 676000 distinct combinations of codes can be created.

A combination in mathematics is a choice made from a group of separate elements where the order of the selection is irrelevant (unlike permutations).

Three fruits, such as an apple, an orange, and a pear, for instance, can be combined into three different pairs: an apple and a pear, an apple and an orange, or a pear and an orange.

A k-combination of a set S is officially defined as a subset of S's k unique elements.

So, if and only if each combination contains the same elements, two combinations are said to be identical.

So, ways when repetition is allowed:

Methods for selecting 3 numbers = 10 * 10 * 10 = 1000 ways

Ways to pick two letters = 26 * 26 = 676

TOTAL = 1000 * 676 = 676000

Therefore, if letters and numbers can be repeated, 676000 distinct combinations of codes can be created.

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Simplifying the given expression, the passcode would be: CDOPWR.

To simplify an expression means to solve to find the value in its simplest form.

Simplify the given expression as explained below:

P. 1/2 + 2/3 - 4.25

= 1.17 + 4.25 [addition]

= 5.42

R. -7 * -4 + 3.5

28 + 3.5 [multiply before adding based on PEMDAS]

= 31.5

D. -5.6 + 2.7 - 3.2 = -6.1

W. 3/4 - 0.25 + 6.8

0.75 - 0.25 + 6.8 = 7.3 [apply PEMDAS]

C. -2 * 4.3 - 7.1 [apply PEMDAS]

= -8.6 - 7.1

= -15.7

O. 1/2 + 0.5 - 2/5 [convert all fractions to decimals]

0.5 + 0.5 - 0.4 = 0.6

From the least to the greatest, the passcode would be: CDOPWR.

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We know that the bank charges $2.25 per month plus $0.10 per bill paid using the service. Let x be the number of bills paid using the service.

The total cost of the service is:

Cost = 2.25 + 0.10x

We also know that the charges are always between $3.50 and $5.00. So we can write this as an inequality:

3.50 <= Cost <= 5.00

To find the number of bills, we can substitute the expression for cost into the inequality:

3.50 <= 2.25 + 0.10x <= 5.00

We can solve this inequality by isolating x on one side:

0.10x >= 1.25

x >= 12.5

So the number of bills paid using the service is greater than or equal to 12.5.

She could pay exactly 12 bills, 13 bills, 14 bills and so on.

The solution is x >= 12.5

Let's call the number of bills paid per month as "x"

We know that the total cost is:

$2.25 (fixed monthly fee) + $0.10x (cost per bill paid)

We also know that the total cost is between $3.50 and $5.00

Therefore, $3.50 <= $2.25 + $0.10x <= $5.00

To solve for x, we can first isolate x by subtracting $2.25 from both sides of the inequality:

$1.25 <= $0.10x <= $2.50

Now we can divide both sides of the inequality by $0.10 to get:

12.5 <= x <= 25

It means that the number of bills paid per month using the service is between 12 and 25 bills, Debbie can pay at least 12 bills and at most 25 bills.

In a proportional relationship between two quantities, the constant of proportionality, often denoted by the letter "k," represents the value that relates the two quantities. The equation y = kx is the standard form for expressing a proportional relationship, where "y" and "x" are the variables representing the two quantities.

Here's a breakdown of the components in the equation:

y: Represents the dependent variable, which is the quantity that depends on the other variable. It is usually the output or the variable being measured.

x: Represents the independent variable, which is the quantity that determines or influences the other variable. It is typically the input or the variable being controlled.

k: Represents the constant of proportionality. It indicates the ratio between the values of y and x. For any given value of x, multiplying it by k will give you the corresponding value of y.

The constant of proportionality, k, is specific to the particular proportional relationship being considered. It remains constant as long as the relationship between x and y remains proportional. If the relationship is linear, k also represents the slope of the line.

For example, if we have a proportional relationship between the distance traveled, y, and the time taken, x, with a constant of proportionality, k = 60 (representing 60 miles per hour), the equation would be y = 60x. This equation implies that for each unit increase in x (in hours), y (in miles) will increase by 60 units.

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To prove that 3x ≤ y, assume the opposite, that is, 3x > y, rearrange the inequality substitute x < 2y and simplify, contradict the given condition that x < 2y, therefore, concluding that 3x ≤ y.

Start by assuming the opposite, that is, 3x > y.

From the given inequality,\(7xy \leq 3x^2 + 2y^2,\), we can rearrange to get:
\(7xy - 3x^2 \leq 2y^2\)

We can substitute \(x < 2y\) into this inequality:
\(7(2y)x - 3(2y)^2 \leq 2y^2\)

Simplifying, we get:
\(y(14x - 12y) \leq 0\)

Since y is a real number, this means that either y ≤ 0 or 14x - 12y ≤ 0.

If y ≤ 0, then 3x ≤ y is trivially true.

If 14x - 12y ≤ 0, then we can rearrange to get:
3x ≤ (12/14)y
3x ≤ (6/7)y
3x < y (since we assumed 3x > y)

But this contradicts the given condition that x < 2y, so our assumption that 3x > y must be false.

Therefore, we can conclude that 3x ≤ y.

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Answer:

C

Step-by-step explanation:

rational number because 0.3=3/10. it can be represented in terms of fraction.

The 0.3% should be placed in Rational numbers because 0.3% can be written as a fraction.

Rational numbers are numbers whose ratio or percentage can be expressed as a fraction.

From the information given:

\(\mathbf{0.3\% \ can \ be \ written \ as \ \dfrac{0.3}{100}}\)

Natural numbers are numbers that are positive and they are whole numbers without a remainder.

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Answer:

Number 5e9, five thousand million

Answer:

no cause the graph dosen't cross the 0

Step-by-step explanation:

If the angles are ∠1 = 2x + 4 and ∠2 = 3x - 3, then m∠TRS =  36°.

What is an angle?

An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. The Latin word "angulus," which meaning "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle.

The measure of ∠1 = 2x + 4

The measure of ∠2 = 3x - 3

The measure of ∠TRS is -

∠TRS = ∠1 + ∠2

Since, PR is a bisector then ∠1 = ∠2.

The equation is -

2x + 4 = 3x - 3

2x - 3x = - 3 - 4

-x = -7

x = 7

Substitute the value of x in the angles -

∠1 = 2(7) + 4

∠1 = 14 + 4

∠1 = 18°

∠2 = 3(7) - 3

∠2 = 21 - 3

∠2 = 18°

So, the value of ∠TRS is -

∠1 + ∠2

18° + 18°

36°

Therefore, the measure of ∠TRS is 36°.

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Answer: 4.1 feet : 4 feet

Step-by-step explanation:

From the question, we are informed that Bradley estimated the height of a tree at 2.5 meters. Carla estimated that tree's height at 8 feet.

The conversion ratio be used to compare Bradley's and Carla's estimates of the tree's height when measured in feet goes thus:

Since 1 feet = 0.305 meters

2.5 meters will be = 2.5/0.305 = 8.2 feet

Therefore the conversion ratio will be:.

= 8.2 : 8

Reducing to lowest term will be

= 4.1 feet : 4 feet.

= 4.1 : 4

The approximate probability that a randomly selected group of 5 employees will consist of 2 employees from work unit A and 3 employees from work unit B is 0.4329.

Let's solve this using combinations. First, we need to find the total number of ways to choose 5 employees from the total of 11 employees (5 from unit A and 6 from unit B). This can be calculated using the combination formula:

(11 choose 5) = 11! / (5! * 6!) = 462

Next, we need to find the number of ways to choose 2 employees from unit A and 3 employees from unit B. We can calculate this by choosing 2 employees from the 5 employees in unit A and 3 employees from the 6 employees in unit B:

(5 choose 2) * (6 choose 3) = (5! / (2! * 3!)) * (6! / (3! * 3!)) = 10 * 20 = 200

Therefore, the probability that a randomly selected group of 5 employees will consist of 2 employees from work unit A and 3 employees from work unit B can be calculated as:

(200 / 462) ≈ 0.4329

Hence, the approximate probability that a randomly selected group of 5 employees will consist of 2 employees from work unit A and 3 employees from work unit B is approximately 0.4329.

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Assuming 100% efficiency, the current in the secondary coil will be the same as the current in the primary coil.

The current in the secondary coil is dependent on the voltage ratio of the primary and secondary coils. If the voltage ratio of the coils is the same as the turns ratio, then the current in the secondary coil will be identical to that in the primary coil. Therefore, assuming 100% efficiency, the current in the secondary coil will be the same as the current in the primary coil.

The current in the secondary coil is determined by the voltage ratio of the primary and secondary coils. The voltage ratio is equal to the turns ratio, which is the ratio of the number of turns in the secondary coil to the number of turns in the primary coil. In an ideal transformer with 100% efficiency, the power output in the secondary coil will be equal to the power input in the primary coil. Since power is equal to voltage multiplied by current, and the voltage ratio is equal to the turns ratio, the current in the secondary coil will be the same as the current in the primary coil.

Therefore, assuming 100% efficiency, the current in the secondary coil will be the same as the current in the primary coil.

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The maximum likelihood estimators for the parameters μ, a, ρ, and σ^2 in the ARX(1) model can be obtained by expressing the model in vector/matrix form, deriving the distribution of the errors, and applying calculus techniques. The key step involves defining the matrix H = I - ϕ1L - ϕ2L^2, where I is the T×T identity matrix and L is the lag matrix.

To find the maximum likelihood estimators, we begin by expressing the ARX(1) model in vector/matrix form. Let y be the T×1 vector of observations, ϵ be the T×1 vector of errors, and H be the T×T matrix defined as H = I - ϕ1L - ϕ2L^2.

By substituting the given model equation and error process into matrix form, we obtain the equation y = μ + a*t + ρH*y + ϵ. Next, we determine the distribution of the errors, which follows an AR(2) process with a mean of zero and a covariance matrix of σ^2I.

With the error distribution determined, we can maximize the likelihood function by applying calculus techniques, such as differentiation and setting the derivative to zero. This process involves solving a system of equations to obtain the estimators for μ, a, ρ, and σ^2.

Overall, the process of obtaining the maximum likelihood estimators for the parameters in the ARX(1) model involves expressing the model in matrix form, defining the distribution of the errors, and maximizing the likelihood function through calculus techniques. The specific calculations would depend on the given values of ϕ1 and ϕ2.

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