The clinic should hire at least 7 doctors in order to serve 122 patients per day.
To determine how many doctors the clinic should hire in order to serve 122 patients per day, we need to calculate the number of patients each doctor can see within their working hours.
Let's start by calculating the total number of minutes each doctor works per day. Since each doctor works 8 hours per day and there are 60 minutes in an hour, the total minutes worked by a doctor per day would be 8 hours × 60 minutes = 480 minutes.
Next, we need to find out how many patients a doctor can see within their working hours. Given that each patient requires an average of 27 minutes with a doctor, the number of patients a doctor can see per day would be 480 minutes ÷ 27 minutes per patient = 17.7778 patients.
Since we can't have a fractional number of patients, we need to round this number up to the nearest whole number to ensure that each patient gets the required attention. Therefore, each doctor can see approximately 18 patients per day.
To serve 122 patients per day, we divide the total number of patients by the number of patients each doctor can see per day: 122 patients ÷ 18 patients per doctor = 6.7778 doctors.
Again, we can't have a fractional number of doctors, so we need to round this number up to the nearest whole number. Therefore, the clinic should hire at least 7 doctors to serve 122 patients per day.
In summary, the clinic should hire at least 7 doctors in order to serve 122 patients per day.
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The total cost for a bucket of popcorn and 4 movie tickets is $56. The total cost for the same size bucket of popcorn and 6 movie tickets is $80. The cost of a bucket of popcorn is $8. Which equation represents the relationship between y, the total cost of the popcorn and movie tickets, and x, the number of movie tickets that are purchased?
y = 12x + 8
y = 12x − 8
y = 14x + 8
y = 14x − 8
Answer:
A
Step-by-step explanation:
y = 12x + 8
The correct equation represents the relationship between y, the total cost of the popcorn and movie tickets, and x, the number of movie tickets that are purchased is,
⇒ y = 12x + 8
Now,
Let p be the price of one bucket of popcorn and t be the price of one ticket.
Since, The total cost for a bucket of popcorn and 4 movie tickets is, $56
⇒ p + 4t = 56 .. (1)
And, the total cost for the same size bucket of popcorn and 6 movie tickets is $80.
⇒ p + 6t = 80 ..(2)
Now, Equation (1) - Equation (2),
-2 t = - 24
⇒ t = 12
By substituting this value in equation (1),
We get,
p + 48 = 56
⇒ p = 8
Thus, the price of one bucket of popcorn = $8
And, the price of one ticket = $12
Thus, The total price (y) of one bucket of popcorn and x tickets is,
y = 8 + 12 x
y = 12x + 8
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Graph f(x)=-1/2x-5
will do a brainly
The table shows the weights of onions at a grocery store.
Answer:
Formula: 0.12x = y
Step-by-step explanation:
5 × 0.12 = 0.60
3 × 0.12 = 0.36
14 × 0.12 1.68
Reduce the following fraction:
* 4b/4a
plz respond
Answer: b/a
Step-by-step explanation: 4/4 * b/a = 1 * b/a = b/a
a/b is the value of fraction. Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.
What is meant by Mathematical expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. The following is the structure of an expression: Expression: (Number/Variable, Math Operator, Math Operator)
A mathematical expression shows the value of something by combining numbers, variables, and operators. A mathematical statement known as an equation involves setting two expressions equal to one another.
Mathematical operators like addition, subtraction, multiplication, and division are used to create expressions in writing. For instance, the mathematical equation for "4 added to 2" will be 2+4.
Given ,
4b/4a
When you divide both the numerator and the denominator by 4, you get:
Therefore b/a is the value of fraction.
The complete question is : Reduce the following fractions.
4a/4b
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Point Z is located at (-5, -3) on the coordinate plane. Point Z is reflected over the
y-axis to create point Z'. What ordered pair describes the location of Z'?
Answer:
(5,-3)
Step-by-step explanation:
find the radian measure of an angle at the center of a circle with radius 77.0 cm that intercepts an arc length of 128 cm
The radian measure of the angle at the center of the circle is approximately 1.6623 radians.
We are given that the radius of the circle is 77.0 cm and the length of the intercepted arc is 128 cm. We need to find the radian measure of the angle at the center of the circle.
To solve this problem, we use the formula relating the angle at the center of a circle, the radius of the circle, and the arc length intercepted by the angle.
The formula is given byθ = s/rwhereθ = angle at the center of the circle in radians s = arc length intercepted by the angle r = radius of the circle Substituting the given values, we getθ = 128/77.0 = 1.6623 radians (rounded to four decimal places)
Therefore, the radian measure of the angle at the center of the circle is approximately 1.6623 radians.
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The black graph is the graph of
y = f(x). Choose the equation for the red graph.
Answer:
[tex]c. \: \: \: y + 3 = f(x)[/tex]
A map uses the scale of 3 cm for every
10 km. If the map shows a distance of
12 cm, what is the actual distance?
Answer:
40 km
Step-by-step explanation:
Divide the distance by the scale
12/3 = 4
Multiply that number by the 10 km
4 x 10 = 40
Simplify: -7y +5 - 4+2x + 3x + 9x
Answer:
The answer would be 1 + 14x + -7y
Brainlist???
Please Help....................
PLEAASE HELP & EXPLAIN!!
I'LL MARK YOU'RE ANSWER AS BRAINLIST!!
2) Pedro flips a fair coin 55 times and sees heads 21 times. What is the experimental probability that he will see heads? Put your answer as a percent.
Answer:
38.18%
Step-by-step explanation:
Experimental probability is probability that is determined on the basis of the results of repeated experiments.
Experimental Probability = The number of times a result happens / The number of times the experiment is carried out *100%
In this problem, The number of times a result happens is the number of times Pedro sees heads, which is 21. The number of time the experiment is carried out is 55.
So the result is 55/21 *100% = 38.181818... * 100%= 38.18%
Hope you learn with joy and high grades !
Let X - {V₁, V2,..., Un} be a subset of a vector space V over F. Let A(X) ... denote the set of linear combinations of the form a₁1 +0202 +. + anun, where a € F +0= 1. Prove that A(X) is a subspace of V if and only if v; Oy for a2 an vi and a₁ + a₂ + some i E {1,2,...,n}.
A(X) is a subspace of V if and only if v; Oy for a₂, a₃,..., an and a₁ + a₂ + ... + an = 1. This relationship highlights the connection between the subspace A(X) and the coefficients in the linear combinations of vectors in X.
Let X = {V₁, V₂,..., Vn} be a subset of a vector space V over F. The set A(X) is the set of all linear combinations of vectors in X, expressed as a₁V₁ + a₂V₂ + ... + anVn, where a₁, a₂,..., an ∈ F.
First, assume that A(X) is a subspace of V. This means A(X) satisfies the subspace criteria of closure under addition and scalar multiplication. For any vectors v and w in A(X) and any scalar c ∈ F, we have cv ∈ A(X) and v + w ∈ A(X). By expressing v and w as linear combinations of vectors in X, we can observe that the coefficients of the linear combinations can be added or multiplied by a scalar without violating the subspace criteria. Therefore, we can conclude that there exist coefficients a₁, a₂,..., an such that v = a₁V₁ + a₂V₂ + ... + anVn and w = a₁'V₁ + a₂'V₂ + ... + an'Vn, where a₁ + a₁' + ... + an + an' = 1.
Conversely, assume that v; Oy for a₂, a₃,..., an and a₁ + a₂ + ... + an = 1. We need to prove that A(X) satisfies the subspace criteria. For any vectors v and w in A(X) and any scalar c ∈ F, we can express v and w as linear combinations of vectors in X with coefficients a₁, a₂,..., an. By performing the operations of addition and scalar multiplication, we can see that the resulting linear combinations still satisfy the conditions v; Oy and a₁ + a₂ + ... + an = 1. Therefore, A(X) is closed under addition and scalar multiplication.
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the sum of three consecutive numbers is 41 less than five times the largest number. find the largest number.
Answer:
19
Step-by-step explanation:
So:
x + (x + 1) + (x + 2) = 5 (x + 2) - 41
3x + 3 = 5x + 10 - 41
3x + 3 = 5x - 31
34 = 2x
17 = x
The numbers are 17, 18, and 19. The biggest is 19
Solve for t.
-9 = t/-9
Answer:
t = 81
Step-by-step explanation:
81/-9 = -9
Answer:
81 = t
Step-by-step explanation:
-9 = t/-9
To isolate x, multiply -9 on both sides.
-9 = t/-9
*-9 *-9
81 = t
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15 x 6 = ?
Answer:
80
Step-by-step explanation:
Answer:
well 5 x 6 is 30 carry the 3, 1 x 6 is 6 plus the 3 is 9 so ur answer is 90
Step-by-step explanation:
if g(x) = - 4 , what is the value of x
Given y = g(x) therefore,
y = -4.
Since there's no x. That means x = 0.
Therefore the value of x is 0
Answer:
It depends on what the question and or equation is that you are using if i knew why you where trying to solve for x I could tell you.
Step-by-step explanation:
Joe works for a furniture store delivery in furniture yesterday delivered furniture to a customer because of traffic conditions Joe average is 22 mph on the way to delivery on the way back to the store he average is 32 mph how long does it take now to return to the store
first you need to find out how long it took him to get there
f(x)=−(x−7)^2+6. What is the domain and range?
Answer:
Domain is {xER} (This means that x is all real numbers)
Range is [tex]f(x) \leq 6[/tex] (This means that x is less than or equal to 6)
Step-by-step explanation:
The rat of change in y=8x+6
Answer:
6
Step-by-step explanation:
You have now invested some money in your bank account with an interest rate of 5% every year. At year 3 , you will find out that you have $30,000 in your bank account. How much money will you have in your bank account at year 2?
a. $25,915.13
b. $27,210.88
c. $28,571.43
d. $30,000.00
e. None of the above
At year 2, you will have approximately $25,915.13 in your bank account, assuming an initial investment with a 5% interest rate compounded annually. The correct answer is (a).
To find out how much money you will have in your bank account at year 2, we can use the compound interest formula:
A = P(1 + r/n)^(nt)
Where:
A = Final amount (in this case, $30,000)
P = Principal amount (initial investment)
R = Annual interest rate (5% or 0.05)
N = Number of times interest is compounded per year (assumed to be once per year)
T = Number of years (in this case, 3)
Let’s solve for P, the principal amount at year 0:
30,000 = P(1 + 0.05/1)^(1*3)
30,000 = P(1.05)^3
Dividing both sides of the equation by (1.05)^3:
P = 30,000 / (1.05)^3
P ≈ 25,915.13
Therefore, at year 2, you will have approximately $25,915.13 in your bank account.
The correct answer is (a) $25,915.13.
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Find an nth-degree polynomial function with real coefficients satisfying the given conditions. If you are using a graphing utility, use it to graph the function and verify the real zeros and the given function value.
n=3
-2 and 9+21 are zeros
1(1)=204
=(x);
(Type an expression using x as the variable Simplify your answer)
An nth-degree polynomial function with real coefficients that satisfies the given conditions, where n = 3 and the zeros are -2 and 9 + 21, and the function value f(1) = 204, is f(x) = (x + 2)(x - (9 + 21))(x - 1).
To find the polynomial function that satisfies the given conditions, we start by considering the zeros. Since the zeros are given as -2 and 9 + 21, we can write the factors for the polynomial as (x + 2) and (x - (9 + 21)).
Next, we consider the function value f(1) = 204. This means that when x = 1, the function should evaluate to 204. To satisfy this condition, we include the factor (x - 1) in our polynomial.
Combining these factors, we have the polynomial function f(x) = (x + 2)(x - (9 + 21))(x - 1).
To verify the real zeros and the given function value, we can use a graphing utility. By graphing the function, we can observe the x-intercepts, which represent the zeros, and check if the function evaluates to 204 when x = 1.
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Someone help please?! List the digits in numerical order, least to greatest pleaseeee I need help!
the answer for table f is 216 and the answer for table e is 10 for the first column and 8 for the second
F(x)=3x 2 +9f, left parenthesis, x, right parenthesis, equals, 3, x, squared, plus, 9 and g(x)=\dfrac{1}{3}x^2-9g(x)= 3 1 x 2 −9g, left parenthesis, x, right parenthesis, equals, start fraction, 1, divided by, 3, end fraction, x, squared, minus, 9 Write simplified expressions for f(g(x))f(g(x))f, left parenthesis, g, left parenthesis, x, right parenthesis, right parenthesis and g(f(x))g(f(x))g, left parenthesis, f, left parenthesis, x, right parenthesis, right parenthesis in terms of xxx. f(g(x))=f(g(x))=f, left parenthesis, g, left parenthesis, x, right parenthesis, right parenthesis, equals g(f(x))=g(f(x))=g, left parenthesis, f, left parenthesis, x, right parenthesis, right parenthesis, equals Are functions fff and ggg inverses?
Answer:
[tex]f(g(x)) = \frac{1}{3}x^4 - 18x^2 + 252[/tex]
[tex]g(f(x)) = 3x^4 + 18x^2 + 18[/tex]
f(x) and g(x) and not inverse functions
Step-by-step explanation:
Given
[tex]f(x) = 3x^2 + 9[/tex]
[tex]g(x) = \dfrac{1}{3}x^2 - 9[/tex]
Required
Determine f(g(x))
Determine g(f(x))
Determine if both functions are inverse:
Calculating f(g(x))
[tex]f(x) = 3x^2 + 9[/tex]
[tex]f(g(x)) = 3(\frac{1}{3}x^2 - 9)^2 + 9[/tex]
[tex]f(g(x)) = 3(\frac{1}{3}x^2 - 9)(\frac{1}{3}x^2 - 9) + 9[/tex]
Expand Brackets
[tex]f(g(x)) = (x^2 - 27)(\frac{1}{3}x^2 - 9) + 9[/tex]
[tex]f(g(x)) = x^2(\frac{1}{3}x^2 - 9) - 27(\frac{1}{3}x^2 - 9) + 9[/tex]
[tex]f(g(x)) = \frac{1}{3}x^4 - 9x^2 - 9x^2 + 243 + 9[/tex]
[tex]f(g(x)) = \frac{1}{3}x^4 - 18x^2 + 252[/tex]
Calculating g(f(x))
[tex]g(x) = \dfrac{1}{3}x^2 - 9[/tex]
[tex]g(f(x)) = \frac{1}{3}(3x^2 + 9)^2 - 9[/tex]
[tex]g(f(x)) = \frac{1}{3}(3x^2 + 9)(3x^2 + 9) - 9[/tex]
[tex]g(f(x)) = (x^2 + 3)(3x^2 + 9) - 9[/tex]
Expand Brackets
[tex]g(f(x)) = x^2(3x^2 + 9) + 3(3x^2 + 9) - 9[/tex]
[tex]g(f(x)) = 3x^4 + 9x^2 + 9x^2 + 27 - 9[/tex]
[tex]g(f(x)) = 3x^4 + 18x^2 + 18[/tex]
Checking for inverse functions
[tex]f(x) = 3x^2 + 9[/tex]
Represent f(x) with y
[tex]y = 3x^2 + 9[/tex]
Swap positions of x and y
[tex]x = 3y^2 + 9[/tex]
Subtract 9 from both sides
[tex]x - 9 = 3y^2 + 9 - 9[/tex]
[tex]x - 9 = 3y^2[/tex]
[tex]3y^2 = x - 9[/tex]
Divide through by 3
[tex]\frac{3y^2}{3} = \frac{x}{3} - \frac{9}{3}[/tex]
[tex]y^2 = \frac{x}{3} - 3[/tex]
Take square root of both sides
[tex]\sqrt{y^2} = \sqrt{\frac{x}{3} - 3}[/tex]
[tex]y = \sqrt{\frac{x}{3} - 3}[/tex]
Represent y with g(x)
[tex]g(x) = \sqrt{\frac{x}{3} - 3}[/tex]
Note that the resulting value of g(x) is not the same as [tex]g(x) = \dfrac{1}{3}x^2 - 9[/tex]
Hence, f(x) and g(x) and not inverse functions
3. The Wallace family split a 17% pound bag of dog food between their three dogs. How much dog food
does each dog receive?
A 5 3/8
B. 5 3/4
C. 5 2/3
D.5 11/12
Daily high temperatures in St. Louis for the last week were as follows: 92, 92, 93, 95, 95, 86, 95 (yesterday). a) The high temperature for today using a 3-day moving average =____ degrees (round your response to one decimal place).
The high temperature for today using a 3-day moving average is 92 degrees.
To calculate the high temperature for today using a 3-day moving average, we take the average of the temperatures from the past three days, including today.
Given the daily high temperatures in St. Louis for the last week:
92, 92, 93, 95, 95, 86, 95 (yesterday)
To find the 3-day moving average for today's high temperature, we consider the temperatures from yesterday, the day before yesterday, and three days ago.
(95 + 86 + 95) / 3 = 92
Therefore, the high temperature for today, calculated using a 3-day moving average, is approximately 92 degrees Fahrenheit, rounded to one decimal place.
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Last year Big bills department store sold many pairs of shoes 118,214 Pairsof boots were sold; 37,092 more pairs of sandals than pairs of boots were sold; and 124,417 more pairs of sneakers than pairs of boots how many in total
Analyze the effects of effective communication.
Answer:
Developing and improving communication skills will help ensure that messages are sent and received properly. Analyze the effects of effective communication. Effective communication involves the sender having the desired effect on the receiver of the message.
Step-by-step explanation:
I just did it and got it it right
Hope this helps!
God Bless You! <3
Find the distance between the two points rounding to the nearest tenth (if
necessary).
(8,-5) and (1,1)
Can someone please help me
Answer:
[tex]d=9.2[/tex]
Step-by-step explanation:
Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Simply plug in your 2 coordinates into the distance formula to find distance d:
[tex]d=\sqrt{(1-8)^2+(1-(-5))^2}[/tex]
[tex]d=\sqrt{(-7)^2+(1+5)^2}[/tex]
[tex]d=\sqrt{49+(6)^2}[/tex]
[tex]d=\sqrt{49+36}[/tex]
[tex]d=\sqrt{85}[/tex]
[tex]d=9.21954[/tex]
[tex]d=9.2[/tex]
A recipe calls for 3/4 cups brown sugar for each 2/3 cups of white sugar. How many cups of brown sugar are used per cup of white sugar
Answer:
(3/4) x (3/2) = 1 1/8 cups is you Answer.
HELP ME PLEASE
James mixes 7 cups of water with 2 scoops of lemonade mix. Charlie needs
to create a much larger batch of lemonade, so he mixes 25 cups of water with
10 scoops of mix.
Whose lemonade is stronger? Explain your reasoning,
Answer:
Charlie's lemonade is stronger
Step-by-step explanation:
