A trapezoid has verities A(-5, 4), B(-3, 2) C(-7, -2) and D(-7, 2). It is transformed according to the rule

Answer: Randomization prevents the researchers from specifically assigning all adults who regularly stay up late to complete assigned tasks late at night.

-Randomization ensures each group will be similar in everything except the time of day they are assigned to work.

-Randomization prevents the adults from selecting their own group.

Step-by-step explanation:

The options include:

a. Randomization ensures each group will be similar in everything except the time of day they are assigned to work.

b. Randomization prevents the adults from selecting their own group.

c. Randomization eliminates lurking variable from the experiment.

d. Randomization prevents the researchers from specifically assigning all adults who regularly stay up late to complete assigned tasks late at night.

e. Randomization ensures that there'll be an equal number of adults in each group.

Randomization refers to a method that is based on chance alone whereby the participants in a particular study are assigned to treatment group. Based on the information given, it us important that the researchers use randomization to assign each of the adults to a group because:

• Randomization ensures each group will be similar in everything except the time of day they are assigned to work.

• Randomization prevents the researchers from specifically assigning all adults who regularly stay up late to complete assigned tasks late at night.

• Randomization prevents the adults from selecting their own group.

The measure of angle ∠CAB will be 68 degrees and the measure of angle ∠CAD will be 22 degrees.

It is the center of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

In the circle below, stack AD with a bar on top is diameter and stack AB with a left-right arrow on top is tangent at A. Suppose m stack ADC with over parenthesis on top equals 224 degrees.

Then the measures of m angle ∠CAB and m angle ∠CAD will be  

Then we have

We know that

mADC = mAD + mDC

  224° = 180° + mDC

 mDC = 44°

Then we know the theorem, A chord's degree in the centre is double that of the chord's degree at the perimeter. Then we have

2 ∠CAD = 44°

  ∠CAD = 22°

Then the angle ∠CAB and angle ∠CAD are complementary angles. Then we have

∠CAB + ∠CAD = 90°

   ∠CAB + 22° = 90°

            ∠CAB = 68°

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Given:

f(0) = 2

So first of all, we let x = 2021, y = 0:

Then, F(2021) = 2021 + f(0)

Since f(0) = 2, then f(2021) = 2021 + 2 = 2023.

To add, the process that relates an input to an output is called a function.

There are always three main parts of a function, namely:

Input

The Relationship

The Output

The classic way of writing a function is "f(x) = ... ".

What goes into the function is put inside parentheses () after the name of the function: So, f(x) shows us the function is called "f", and "x" goes in.

What a function does with the input can be usually seen as:

f(x) = x2 reveals to us that function "f" takes "x" and squares it.

The percent of attendance figures that differs from the mean by 1500 persons or more is 6.68%.

From the question above, Mean μ = 10,000

Standard Deviation σ = 1,000

The formula for z-score is :

z = (x-μ) / σ

Where, x = observation

z = z-score

Mean μ = 10,000

Standard Deviation σ = 1,000

From the above formula, let's calculate z-score for x = 11,500

z = (x-μ) / σ

z = (11,500 - 10,000) / 1000

z = 1.5

Now, find the probability of attendance figures that differs from the mean by 1500 persons or more.

P(z ≥ 1.5) = 0.0668

To find the percentage, we need to multiply the above value by 100.

P(z ≥ 1.5) × 100 = 0.0668 × 100 = 6.68%

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Answer:7

Step-by-step explanation:

just gotta add it up all good

Answer:

7

Step-by-step explanation:

The equation of the circle, obtained by applying the completing the square method to the specified equation indicates that the center and radius of the circle are;

Center (0, 6) and radius 7.5

The general form of the equation of a circle is; (x - h)² + (y - k)² = r², where;

(h, k) = The coordinates of the center of the circle

r = The measure of the length of the radius

The possible equation obtained from a similar question on the internet can be presented as follows;

x² + y² - 12·y - 20.25 = 0

The above equation can be evaluated using the completing the square method and excluding the x² term as follows;

y² - 12·y - 20.25 = 0

y² - 12·y = 20.25

y² - 12·y + (-12/2)² = 20.25 + (-12/2)²

y² - 12·y + (-6)² = 20.25 + (-6)² = 56.25

(y - 6)² = 56.25

Therefore;

y - 6 = √(56.25) = ±7.5

The possible equation of the circle obtained by plugging in the x² term therefore is; (x - 0)² + (y - 6)² = 7.5²

The center of the circle is therefore;

(h, k) = (0, 6)

The radius of the circle, r = 7.5

The possible correction is therefore, option (a), where the 5 is a typing error

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Earth science is made of many branches of knowledge concerning all aspects of the Earth system. The main branches are geology, meteorology, climatology, oceanography, and environmental science. Astronomy uses principles understood from Earth to learn about the solar system, galaxy, and universe.

Only recently have humans begun to understand the complexity of our planet Earth. We have only known for a few hundred years that Earth is just a tiny part of an enormous galaxy, which in turn is a tiny part of an even greater universe.

An important component of experiments is the different variables involved. A variable is any parameter in the experiment that can change. This could be a parameter like temperature, weight or height, or it could be more complex, such as life expectancy or growth rate. Depending on how you set up your experiment, you will use different kinds of variables. There are three basic types to be familiar with.

The first type is the independent variable. This is the variable that is manipulated during an experiment. For example, when experimenting with how fertilisers affects plant growth, the fertiliser is the independent variable because this is the variable that you change. It might help to think of the independent variable as the cause of change in the experiment.

In contrast to this, the dependent variable is the variable that is affected during an experiment. In our experiment, our dependent variable would be plant growth since this is affected by the amount of fertiliser applied. If you think of the independent variable as the cause, then the dependent variable is the effect.

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The radius of the circle is approximately 10.17 units (rounded to two decimal places).

To find the radius of the circle, we need to use the formula that relates the central angle to the length of the arc and the radius of the circle. The formula is given as:

arc length = radius x central angle

In this case, the arc length is given as 24.4 and the central angle is given as 2.4 radians. Substituting these values in the formula, we get:

24.4 = r x 2.4

Solving for r, we get:

r = 24.4 / 2.4

r ≈ 10.17

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Its better to choose the simple random samples, if the defect is in every other cake, a systematic random sample could miss it completely depending on what Sergio chooses for k.

Here he is  taking a random sample of cakes to get a better idea of how many cakes might have this defect.

The random sample is defined as the method of choose a sample from the group of sample and each of the sample has same probability of being chosen

The systematic sample is the method of choosing the sample from the group of sample with a periodic interval.

Here Sergio noticed a potential defect that seems to be showing in every other cake, so there will be chance of missing the defect completely

Hence, to choose the defect items, the simple random sample is better than systematic random sample.

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Answer:

w=20

Step-by-step explanation:

Solve for  w  by cross multiplying.

Given:

The expression is

\(12ab-6b\)

The equivalent expression of this expression is

\(\_\_\_?\_\_\_(2a-1)\)

To find:

The missing value.

Solution:

We have,

\(12ab-6b\)

The factor form of \(12ab\) is

\(12ab=2\times 2\times 3\times a\times b\)

The factor form 6b is

\(6b=2\times 3\times b\)

The common factors of \(12ab\) and \(6b\) are \(2,3,b\).

\(HCF(12ab,6b)=2\times 3\times b\)

\(HCF(12ab,6b)=6b\)

Taking out the highest common factors(HCF) from the given expression, we get

\(12ab-6b=6b(2a-1)\)

On comparing this with \(\_\_\_?\_\_\_(2a-1)\), we get the missing value which is equal to \(6b\).

Therefore, the correct option is A.

Answer:

A

Step-by-step explanation:

The number of miles that a signal sent from Station 1 to the satellite and then to Station 2 will have to travel is; 48135 miles

Let us first find the distance from Station 1 to the satellite:

Using trigonometric ratio, we have;

tan 8.7 = length of longest leg/length of shortest leg

Thus;

tan 8.7 =  3963/length of longest leg

Length of longest leg = 3963/tan8.7°

Length of longest leg = 3963/0.15302150298

Length of longest leg = 25,898 miles

Distance from Station 2 to satellite:

Using trigonometric ratio again, we have;

sin 8.7 = length of longest leg/ length of hypotenuse

sin  8.7 =  3963/length of hypotenuse

Length of hypotenuse =3963/ sin 8.7

Length of hypotenuse =3963/0.1526082024

Length of hypotenuse = 26, 200 miles

Thus, the difference is;

26200 - 3,963 = 22237 miles

Total distance will calculated as;

25898 miles  + 22237 miles = 48135 miles

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The complete question is:

A satellite orbiting the earth uses radar to communicate with two control stations on the earth's surface. The satellite's orbit maintains a 10-degree angle of separation between the two stations, as shown in the picture below. Knowing that the earth's radius is 3,963 miles.

How many miles will a signal sent from Station 1 to the satellite and then to Station 2 have to travel?

The trigonometric function can be used to calculate the distance (4124966.128 AU) between the star and also the sun.

d = 4124966.128

Given:

Step 1: To calculate the distance in astronomical units here between star and the Sun, apply the trigonometric function.

The sine function is used to calculate the distance in step two.

sin Ф = P/ H

where H is the hypotenuse and P is the perpendicular.

Step 3: Replace the above expression with the known terms.

sin (0.00001389 ) = 1/d

Step 4: Condense the previous expression.

d = 4124966.128

Thus, the distance of star from the sun is found as d = 4124966.128.

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The C program for RK 4th order .

C program,

#include<stdio.h>

//differential equation "dy/dx = (y-2*x*y)"

float f(float x, float y)

{

return(y-2*x*y);

}

int main()

{

// Finds value of y for a given x using step size h

int i,n;

float x0,y0,x,h,k1,k2,k3,k4;

printf("Enter the value of x:");

scanf("%f",&x);

//initial value y0 at x0.

printf("Enter the initial value of x & y:");

scanf("%f%f",&x0,&y0);

//step size

printf("Enter the value of h:");

scanf("%f",&h);

//prints the initial value of y at x and step size.

printf("x0=%f\t yo=%f\t h=%f\n",x0,y0,h);

//Count number of iterations using step size or

//step height h

n=(x-x0)/h;

// Iterate for number of iterations

for(i=1;i<=n;i++)

{

//Apply Runge Kutta Formulas to find

//next value of y

k1 = h*f(x0,y0);

k2 = h*f(x0+h/2,y0+k1/2);

k3 = h*f(x0+h/2,y0+k2/2);

k4 = h*f(x0+h,y0+k3);

//Update next value of y

y0 = y0+(k1+2*k2+2*k3+k4)/6;

//Update next value of x

x0=x0+h;

}

//print the value of y at entered value of x.

printf("at x=%f\t,y=%f\n",x,y0);

return 0;

}

Solution of DE,

y' = y - 2xy, y(0) = 1

The task is to find value of unknown function y at a given point x.

Below is the formula used to compute next value yn+1 from previous value yn. The value of n are 0, 1, 2, 3, ….(x – x0)/h.

Here h is step height and xn+1 = x0 + h

\(K_{1} = h f(x_{n} ,y_{n} )\)

\(K_{2} = hf( x_{n} + h/2 , y_{n} + K_{1}/2 )\)

Thus,

\(y_{n+1} = y_{n} + K_{1} / 6 + K_{2} / 3 + K_{3} / 3 + K_{4} / 6 +O(h^{5} )\)

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An electronic health record (EHR) is a document that contains information about a patient that has been securely authorised. Medical providers can enter data and update a new encounter using an electronic health record.

By enabling appropriate access to and secure electronic sharing of a patient's critical medical information, the electronic health information exchange (HIE) helps to increase the efficiency, effectiveness, safety, and affordability of patient care.

The "blueprint" of a database, or how the data may link to other tables or other data models, is known as a database schema. The schema does not, however, actually hold any information. A database instance is a sample of data from a database at a specific point in time.

An electronic health record (EHR) is a document that contains information about a patient that has been securely authorised. Medical providers can enter data and update a new encounter using an electronic health record.

Microsoft uses a document format called DOC. A document called a DOC file includes formatted text, graphics, tables, graphs, and charts, among other things.

Data that can be entered in free text style is referred to as unstructured data. Structured data is a type of data that includes check boxes, graphics, tables, and other options that the user can select from.

Since the DOC system uses free text, the EHR's data is structured.

Therefore,

An electronic health record (EHR) is a document that contains information about a patient that has been securely authorised. Medical providers can enter data and update a new encounter using an electronic health record.

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Answer:

4x² + 11x + 6 = (x + 2)(4x + 3)

Answer:

74.02

Step-by-step explanation:

divide by 10

Answer:

74.02 Centimeters

Step-by-step explanation:

1 centimeter = 10 millimeters

74.02 centimeters = 740.2 millimeters

The value of the variable is 19. Option C

From the image shown, we can see that the shape is a regular pentagon.

The sum of the interior angles of a regular pentagon is expressed as;

(n -2)180

3(180)

540 degrees

Each angle is equivalent to 108 degrees

Then,

4z + 32 = 108

collect the like terms

4z = 108 - 32

substract the values

4z = 76

z = 19

Hence, the value is 108 degrees

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The volume of the square pyramid is 32.49 cubic mm.

Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length, width, and height of cube or cubes.

Given that crystal is cut into a shape formed by two square pyramids joined at the base. Each pyramid has a base edge length of 5.7 mm and a height of 3 mm.

The volume of the pyramid will be calculated as below:-

V = ( L W H ) / 3

V = ( 5.7 x 5.7 x 3 ) / 3

V = 32.49 cubic mm

Therefore, the volume of the square pyramid is 32.49 cubic mm.

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Answer:

400

Step-by-step explanation:

Profit = 1000

Ratio Rachel : Martin = 7 : 3

Profit Rachel = 7/10 x 1000 = 700

Rachel spend : save = 4 : 3

Rachel spend = 4/7 x 700 = 400

To conduct the study on the curriculum change for 5th graders in math, the statistical test that should be used is the t-test.

This test is appropriate when there are two groups to compare. The null hypothesis of the t-test is that the means of the two groups are equal while the alternative hypothesis is that they are not equal. To conduct the t-test, the mean and standard deviation of each group will be calculated. The t-test compares the means of the two groups to determine whether the difference between them is statistically significant.

Reporting of the findings of the t-test will be done through the use of graphs and charts. The results will be presented in a clear and concise manner, highlighting the key findings and their implications for the curriculum change. Any potential ethical dilemmas should also be addressed in the report. These may include issues such as informed consent, confidentiality, and potential biases in the data. It is important to ensure that all ethical guidelines are followed throughout the study to ensure the validity and reliability of the findings.

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Answer:

1) 3x+8

2) -2y+3x

Step-by-step explanation:

thats the answer! hope it helps :)

Answer: The relationship between the x-coordinates of the first and second bus stop is that the x-coordinate of the second bus stop is 4 units greater than the x-coordinate of the first bus stop.

The relationship between the y-coordinates of the first and second bus stop is that the y-coordinate of the second bus stop is 2 units greater than the y-coordinate of the first bus stop.

Step-by-step explanation:

The integral of 2x / (5(5 - 4x²)¹/²) with respect to x simplifies to (1/5) * arcsin(2x/5) + C, where C is the constant of integration.

To solve the integral, we can start by simplifying the denominator. Notice that we have (5 - 4x²)¹/², which can be written as √(5 - 4x²).

Now, let's proceed with the integration step by step:

Multiply the numerator and denominator by √(5 - 4x²) to rationalize the denominator:

∫(2x / (5(5 - 4x²)¹/²)) dx = ∫(2x√(5 - 4x²) / (5(5 - 4x²))) dx

Separate the terms and simplify the integral:

∫(2x√(5 - 4x²) / (5(5 - 4x²))) dx = (2/5) ∫(x / √(5 - 4x²)) dx

Perform a substitution by letting u = 5 - 4x²:

Differentiate u with respect to x: du/dx = -8x

Rearrange to solve for dx: dx = -(1/8x) du

Substituting the values, the integral becomes:

(2/5) ∫(x / √u) (-1/8x) du

= -(1/40) ∫(1 / √u) du

Integrate the expression:

-(1/40) ∫(1 / √u) du = -(1/40) * 2√u + C

= -(1/20)√(5 - 4x²) + C

Simplify the expression:

-(1/20)√(5 - 4x²) + C = (1/20)√(4x² - 5) + C

Therefore, the final result is (1/20)√(4x² - 5) + C, where C is the constant of integration.

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The materials price variance for January can be calculated using the following formula: Materials Price Variance = (Actual Quantity Purchased x Standard Price) - (Actual Quantity Purchased x Actual Price).

In this case, the actual quantity purchased is 29,300 grams and the actual price is $8.00 per gram. The standard price is given as $7.90 per gram. Plugging these values into the formula, we get: Materials Price Variance = (29,300 grams x $7.90 per gram) - (29,300 grams x $8.00 per gram).

To calculate the specific value of the variance, you would need to subtract the product of the actual quantity purchased and actual price from the product of the actual quantity purchased and standard price. The resulting value will determine whether the materials price variance is favorable or unfavorable, indicating whether the actual price paid for the material was higher or lower than the standard price set by the company.

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Answer:

Step-by-step explanation:

Height h = 4.5 inches

Radius r = 3.4/2 = 1.7 inches

Area of base = πr² = 2.89π square inches

Volume of cylinder = πr²h = 2.89π4.5 = 13.0 cubic inches

Answer:

The answer is 40.8

Step-by-step explanation:

The volume of a cone equals the area of a circle multiplied by the height

\(v = \pi \times {r}^{2} \times h \\ = 3.14 \times 1.7 \times 1.7 \times 4.5 \\ = 40.8\)