The admissions clerk at Tops Hospital is responsible for entering patient registration information into a computerized system, which creates an admission log as well as daily census summaries. She enters the data into the

Answer:

6

Step-by-step explanation:

the solution in photo :)

Answer:

6

Step-by-step explanation:

→ Prime factorise each number

12 = 2² × 3 ⇒ 2 × 2 × 3

18 = 2 × 3² ⇒ 2 × 3 × 3

24 = 2³ × 3 ⇒ 2 × 2 × 2 × 3

→ Find which number there are in each one

2 and 3

→ Multiply them together

2 × 3 = 6

Answer:

118.7 inches squared.

Step-by-step explanation:

The area is the total space taken up by a flat (2-D) surface or shape. The area is always measured in square units.

Diameter is the length across the entire circle, the line splitting the circle into two identical semicircles.

The expression for solving the area of a circle is A = π × \(r^{2}\).

To solve for the semicircle above, we can divide the diameter into 2 to get the radius.

So, the radius of the upper semicircle is 6 inches.

If the radius of a circle is 6 inches, then you can substitute r for 6 into the formula.

This simplifies to A = 36π. If a semicircle if half the size of a normal circle, then it will be A = 18π, because 36 ÷ 2 = 18.

To solve for the lower semicircle, we can do the same this as we did above.

But wait, we don't know the radius or diameter!

No worries! To solve for the diameter of the circle, we can take the line that is parallel to the semicircle (the one that has a length of 12in) and subtract 6 from it. We subtract 6 from it because the semicircle takes up the remaining length of the line, not including the 6in.

To solve for the lower semicircle, we can divide the diameter by 2 to get the radius.

So, the radius of the circle is 3.

Now we can insert 3 into the expression.

This simplifies to A = 9π. If a semicircle if half the size of a normal circle, then it will be A = 4.5π because like above, 9 ÷ 2 = 4.5.

Adding the two semicircles together:

So, the area of both semicircles is approximately 70.6858 square inches.

To solve for the area of a rectangle we use the expression:

Inserting the dimensions of the rectangle:

So, the area of the rectangle is 48 square inches.

Adding the two areas together:

Therefore, the area of the entire figure, rounded to the nearest tenth is \(118.7\) \(in^{2}\).

Answer:

45

Step-by-step explanation:

We are given the following equation:

To solve for "x" we will take arccos to both sides:

Solving the operations:

This is for the first quadrant. Dividing both sides by 2:

For the second quadrant we have:

Dividing both sides by 2:

For the third quadrant we have:

Dividing by 2:

For the fourth quadrant:

Dividing by 2:

Therefore, the values of "x" are:

The linear function that gives the cost of spending h hours at the park is given by:

C(h) = 2 + mh.

In which m is the hourly rate.

Two separate but related concepts are referred to as linear functions in mathematics: A polynomial function of degree 0 or 1 is referred to as a linear function in calculus and related fields if its graph is a straight line.

A straight line makes up the graph of a linear function. The following expression describes a linear function. Y equals f(x) = a + bx. Both the independent and dependent variables of a linear function are one. X is an independent variable, whereas Y is a dependent variable.

The three main types of linear equations are the slope-intercept form, standard form, and point-slope form.

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Answer:

4<x<8                         interval notation is (4,8)

Step-by-step explanation:

hope this helps

Answer: d.[4,8]

Step-by-step explanation:got it right

Answer:

Learn to accept love. Or talk to me. I've dealt with this before, and I know I might not be the most reassuring, and maybe you don't care about me one single bit, but at least try. Despite what you think, there's got to be someone that wants you to remain alive.

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

Using trigonometry:

Sin(x)=8/11

x=sin^-1(8/11)
x= 46.6582417727776

x= 46.65 to decimal places
x= 46.7 to 1 decimal place

x= 47 to 2 s.f.

Answer:

C. 121cm2

Step-by-step explanation:

The area of a circle is pir^2.

Let pi be rounded to 3.14 and r = 6.2cm

6.2^2*3.14 = 120.76, which rounds to 121cm2

Answer:

Step-by-step explanation:

area of a circle = π r²

                         = π (6.2)²

                         ≈ 21 cm²

Answer: 1

Step-by-step explanation:

When \(x=0\), \(y=\boxed{1}\)

As given by the question , so here the vertical and horizontal asymptotes are at x = -12 and y = 1.5.

On a function graph, a vertical asymptote represents the point at which the function is undefined. Take the formula f(x) = 1/x as an illustration. This function's graph exhibits a vertical asymptote at x = 0 since the function is undefined at this value (division by 0 is undefined).

A function's horizontal asymptote is a horizontal line on the function graph that the function approaches as the input (x-value) increases or decreases dramatically. Consider the function f(x) = x2 as an illustration. Because the y-values of the function do not converge to a fixed value as x grows very big, the graph of this function lacks a horizontal asymptote.

We must identify the values of x at which the function is undefined in order to determine the vertical asymptotes of the function 3x/(2x+24).So, to find the vertical asymptotes of the function, we need to solve the equation 2x + 24 = 0 for x. so x = -12.

Similarly, To find the horizontal asymptote in case of equal degrees of numerator and denominator i.e 1 in this case, we need to take the ratio of the first coefficients of numerator and denominator respectively which is 3/2 = 1.5.

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Answer:

$8400.00

P is the principal amount, $15000.00.

r is the interest rate, 5.6% per year, or in decimal form, 5.6/100=0.056.

t is the time involved, 10....year(s) time periods.

So, t is 10....year time periods.

Answer:

add it then it will be easy than downloading

Answer:

{-3, -2, -1}

Step-by-step explanation:

To project R2 onto the subspace spanned by (1, -1) along the subspace spanned by (1, 2), use the vector (1/2, -7/2) as the projection.

The subspace spanned by (1, -1) can be represented as V = {(a, -a) | a ∈ R}, and the subspace spanned by (1, 2) can be represented as W = {(b, 2b) | b ∈ R}. To find the projection vector e, we need to calculate the orthogonal projection of (1, -1) onto W.

First, we find a vector in W that is orthogonal to (1, -1). Let's call this vector w0. To find w0, we can take any vector in W and subtract its projection onto V. Choosing (1, 2) as a vector in W, we can calculate its projection onto V using the formula:

projV(1, 2) = ((1, 2) · (1, -1)) / ((1, -1) · (1, -1)) * (1, -1) = (1/2) * (1, -1).

Subtracting the projection from (1, 2), we get:

w0 = (1, 2) - (1/2) * (1, -1) = (1/2, 5/2).

Therefore, e = (1, -1) - w0 = (1, -1) - (1/2, 5/2) = (1/2, -7/2).

So, the projection vector e that projects R2 onto the subspace spanned by (1, -1) along the subspace spanned by (1, 2) is (1/2, -7/2).

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Answer: 3.14

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

The factors of the equation are \(\rm (x+12)(x-4)\)

Factorization of an algebraic expression means writing the given expression as a product of its factors.

These factors can be numbers, variables, or an algebraic expression.

Given

The equation is

\(\rm x^2+8x-48\)

The factors of the equation are given by;

\(\rm x^2+8x-48\\\\x^2+12x-4x-48\\\\x(x+12)-4(x+12)\\\\(x+12)(x-4)\)

Hence, the factors of the equation are \(\rm (x+12)(x-4)\)/

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Answer:

Slope is 0

Step-by-step explanation:

First, find the difference in the x and y of each point by subtraction.

8 - (-2) = 10

9 - 9 = 0

Because the y value doesn't change in between these two points, that indicates the slope is 0

(a) Expected utility is calculated as the weighted average of the utilities of all possible outcomes.

According to the problem, Sam's utility function is u(100) = 1 and u(200) = 2.

The lottery L1 = ( £100, w.p. 0.6; £200, w.p. 0.4 ) has two outcomes with the probabilities of 0.6 and 0.4.

Therefore, the expected utility of the lottery L1 is:

Expected utility of L1 = 0.6 × u(100) + 0.4 × u(200)= 0.6 × 1 + 0.4 × 2= 1.4

Since Sam is willing to pay at most £120 for the lottery L1, this indicates that the expected utility of L1 is worth £120 to Sam. Thus:1.4 = u(£120)

Since we know u(100) = 1 and u(200) = 2, we can linearly interpolate to find u(£120):

u(£120) = u(100) + [(120 - 100)/(200 - 100)] × (u(200) - u(100))= 1 + [(120 - 100)/(200 - 100)] × (2 - 1)= 1.3

Therefore, the expected utility of the lottery L2 = ( £100, w.p. 0.6; £120, w.p. 0.4 ) is:

Expected utility of L2 = 0.6 × u(100) + 0.4 × u(£120)= 0.6 × 1 + 0.4 × 1.3= 0.78

So, Sam's expected utility for the lottery L2 is 0.78

.(b) The risk preferences of Sam can be determined by comparing the utility of the lottery L1 and the sure outcome that gives the same expected value as the lottery L1.

The expected value of the lottery L1 is:Expected value of L1 = 0.6 × £100 + 0.4 × £200= £140

Therefore, Sam needs to be indifferent between the lottery L1 and the sure outcome of receiving £140. Since the expected utility of L1 is 1.4, Sam's utility for receiving £140 must also be 1.4.

This can be represented as:u(£140) = 1.4From part (a), we know that u(£120) = 1.3.

Therefore, the difference between the two utility values is:u(£140) - u(£120) = 1.4 - 1.3= 0.1

The difference in utility is positive but not enough to reflect risk-loving behavior. Therefore, Sam is risk-averse.

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PLAIN language helps bridge the staggering illiteracy statistics in the United States by making information and communication more accessible, understandable, and inclusive for individuals with low literacy skills. It simplifies complex language, uses plain and straightforward terms, and employs clear formatting to enhance comprehension and promote literacy.

PLAIN language is a communication approach that focuses on making written and spoken information easier to understand. It involves using clear and concise language, avoiding jargon, simplifying complex concepts, and organizing content in a logical manner. By employing PLAIN language principles, organizations and institutions can create materials, such as instructional guides, educational resources, and public information, that are more accessible to individuals with low literacy skills.

In the context of staggering illiteracy statistics, PLAIN language plays a crucial role in breaking down barriers to literacy. By using plain and simple language, individuals with limited reading abilities can better comprehend information, instructions, and stories. This enables them to actively participate in activities such as reading to their children, promoting early literacy development and fostering a love for reading. PLAIN language also empowers individuals with low literacy to navigate important documents, understand health information, engage in civic participation, and access essential services. Overall, PLAIN language helps bridge the gap caused by illiteracy, making information more inclusive and promoting literacy for all.

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Answer:

8 1/3

i think it is

Answer:

25/3 or 8 1/3

Step-by-step explanation:

5/6 x 10

5/6 x 10/1

5/3 x 5/1 cancel 6 and 10 by 2

25/3 multiply 5x5 (numerators) 3x1 (denominator)

25/3 or 8 1/3

Answer:

The correct answer is the third option: y = 4x - 20

Step-by-step explanation:

To solve this problem, we should first find two points that are located along our line of best fit. We can see that the points (25,80) and (15, 40) are both located along the line. Next, we can calculate the slope using these two points.

slope = rise/run = Δy/Δx = (80-40)/(25-15) = 40/10 = 4

Therefore, the slope of the line of best fit is 4.

To find the y intercept, we can use our equation for slope and plug in one of our points.

y = mx + b

y = 4x + b

40 = 4(15) + b

40 = 60 + b

b = -20

Therefore, the y intercept is -20.

If we put both our slope and y intercept into one equation, we get:

y = mx + b

y = 4x - 20

The correct answer is the third option.

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Answer:

number of coats not large navy/ total coats. hope this helps!

Step-by-step explanation:

Answer: D.

Step-by-step explanation: A statistical question is a question that lets the reader wondering or persuades the reader on a topic BUT DOES NOT answer the questions just leaves them encouraged to read more about the certain topic/ discussion.

The solution to the differential equation \(y(t) = Ce^{-3t} + 9\) that satisfies the initial condition \(y(0) = 5\) is \(y(t) = -4e^{-3t} + 9\).

To find the solution that satisfies the initial condition \(y(0) = 5\) for the given differential equation \(y(t) = Ce^{-3t} + 9\), we substitute \(t = 0\) and \(y = 5\) into the equation and solve for the constant \(C\).

Substituting \(t = 0\) and \(y = 5\) into the equation \(y(t) = Ce^{-3t} + 9\), we have:

\(5 = Ce^{-3(0)} + 9\)

Simplifying, we get:

\(5 = C + 9\)

Subtracting 9 from both sides, we have:

\(C = 5 - 9\)

\(C = -4\)

Now that we have the value of \(C\), we can substitute it back into the general solution to obtain the solution that satisfies the initial condition:

\(y(t) = Ce^{-3t} + 9\)

\(y(t) = -4e^{-3t} + 9\)

Therefore, the solution to the differential equation that satisfies the initial condition \(y(0) = 5\) is:

\(y(t) = -4e^{-3t} + 9\)

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Answer:

228 cm

Step-by-step explanation:

the average is calculated as

average = \(\frac{sum}{count}\) , then

\(\frac{sum}{10}\) = 140 ( multiply both sides by 10 to clear the fraction )

sum = 1400

let the height of new pupil be x , then

\(\frac{sum+x}{11}\) = 148 ( multiply both sides by 11 )

sum + x = 1628 , that is

1400 + x = 1628 ( subtract 1400 from both sides )

x = 228

height of new pupil is 228 cm

Answer:

R=22% , T=8yrs , P=$250

I=PRT/100

I=250×22×8/100

I=$440.00

The Interest that's earned will be $440.

The formula for calculating simple Interest will be:

= PRT/100

where,

P = $250

R = 22%

T = 8 years

Therefore, the simple interest will be:

= (250 × 22 × 8) / 100

= 44000/100

= 440

Therefore, the simple interest is $440.

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