The doctor would prescribe 8 milliliters of acetaminophen for Jocelyn, who weighs 40 pounds.
According to the given information, pediatricians prescribe 5 milliliters (ml) of acetaminophen for every 25 pounds of a child's weight. So, if a child weighs 50 pounds, the doctor would prescribe 10 ml of acetaminophen.
Now, let's apply this formula to Jocelyn's weight. As Jocelyn weighs 40 pounds, we need to calculate how many 25-pound increments her weight contains. To do this, we can divide her weight by 25:
40 pounds ÷ 25 pounds = 1.6 increments
This means that Jocelyn's weight is equivalent to 1.6 times the 25-pound increment used in the prescription. To determine the amount of acetaminophen she needs, we can multiply 5 ml (the prescribed dose for 25 pounds) by 1.6:
5 ml × 1.6 = 8 ml
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Select all the real numbers that are less than 70%.
0.08
42
0.7
8.2%
0.023
0.9
Answer:
0.08, 8.2%, 0.023
Step-by-step explanation:
0.08=8%<70%
8.2%<70%
0.023=2.3%<70%
What is the percent of decrease from 10 to 1
Answer:
90%
Step-by-step explanation:
1 = 10%
10 - 1 = 9
9 x 10 = 90
=90%
3x+(-2x) -(-8)= -4 -(-3)
-12 -(-8)+ (1/3x)=20+(-9)
3x + (-2x) -(-8)= -4 -(-3)
-4/5y + (-1/5y) -23 =6-30
3y + (-17) =2-(-23)
Plz help me
Answer:
1. {y,x} = {20/3,-68/3} (not sure)
2. x=45
3. x=−9
4. y=1
5. y=14
Step-by-step explanation:
A new fast-food firm predicts that the number of franchises for its products will grow at the rate dn = 9/t+1 dt where t is the number of years, 0 st s 15. If there is one franchise (n = 1) at present (t = 0), how many franchises are predicted for 15 years from now? franchises
The number of franchises predicted for 15 years from now is 24. To determine the number of franchises predicted for 15 years from now, we need to solve the given differential equation.
The equation dn =\(\frac{9}{t+1}\) dt represents the rate at which the number of franchises (dn) is changing with respect to time (dt). Integrating both sides of the equation gives us the equation n = 9 ln(t+1) + C, where C is the constant of integration.
Given that there is one franchise at present (t = 0), we can substitute n = 1 and solve for C. Plugging in the values, we get 1 = 9 ln(0+1) + C, which simplifies to C = 1 - 9 ln(1) = 1.
Now, to find the number of franchises predicted for 15 years from now (t = 15), we substitute t = 15 into the equation n = 9 ln(t+1) + C. Plugging in the values, we get n = 9 ln(15+1) + 1, which simplifies to n = 24. Therefore, the predicted number of franchises for 15 years from now is 24.
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A survey of needy and disabled youths showed that 47% of those who had no preschool education were arrested or charged with a crime by the time they were 19, whereas only 29% who had preschool education wound up in this category. The survey did not specify what percentage of the youths in the survey had preschool education, so let us take a guess at that and estimate that 18% of them had attended preschool. (Round all answers to the nearest 1%. ) (a) What percentage of the youths arrested or charged with a crime had no preschool education
(b) What would this figure be if 82% of the youths had attended preschool?
The percentage of youths arrested, charged with a crime had no preschool education is 59% and if 82% of the youths had attended preschool still committed crime is 41%.
Let us consider that 18% of them had attended preschool, then the percentage of youths arrested, charged with a crime who had no preschool education would be 47%.
If 82% of the youths had attended preschool, then the percentage of youths arrested who had no preschool education would be 39%.
Let us take that there were 100 youths in the survey. Then, only (100 - 18) = 82 youths did not attend preschool.
Therefore, if we imagine that 82% of them had attended preschool,
82 × (1 - .82)
= 14.76
Then, (100 - 14.76) = 85.24 youths who attended preschool,
35/100 * (85.24) = 29.87 were arrested by the time they were 19.
Therefore, from the survey of youths
54/100 × (100 -18) + 35/100 × (85.24)
= 44.28 + 29.87
= 74.15 were arrested by the time they were 19.
Then,
a) (44.28 /74.15) × 100
≈59% of those arrested did not attend preschool.
Now,
b) (10 - .59) × 100
≈41% of those arrested did attend preschool.
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what is the answer to
\( \frac{v}{8} = 10\)
Answer:
80
Step-by-step explanation:
\(\frac{v}{8} =10\\v=10*8\\v=80\)
please help
Using the data below, what is the weighted moving average forecast for the 4 th week? The weights are .20, .30, .50 (oldest period to most recent period) Answer format: Number: Round to: 1 decim
The weighted moving average forecast for the 4th week is 131.0.
Here's the calculation for the weighted moving average forecast for the 4th week, assuming that the data is for the previous three weeks:
Week 1: 100
Week 2: 120
Week 3: 150
Using the weights .20, .30, .50 (oldest period to most recent period), the weighted moving average forecast for the 4th week is:
(0.20 * 100) + (0.30 * 120) + (0.50 * 150) = 20 + 36 + 75 = 131
Rounding to 1 decimal place, the weighted moving average forecast for the 4th week is 131.0.
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rodney walks 10 feet to the east from the base of a 25-foot tall flagpole. approximately what is the distance from his feet to the top of the pole?
Assuming that Rodney is standing on level ground, the distance from his feet to the top of the 25-foot tall flagpole can be calculated using the Pythagorean theorem. The distance is approximately 26.2 feet.
In this problem, we can imagine a right triangle with the flagpole as the vertical side and the distance Rodney walks as the horizontal side. The distance from Rodney's feet to the top of the flagpole is the hypotenuse of this triangle. Let's call this distance "d". We can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse\((d^2)\)is equal to the sum of the squares of the other two sides. In this case, we have:
\(d^2 = 10^2 + 25^2\)
Simplifying this equation gives us:
\(d^2 = 100 + 625\)
\(d^2 = 725\)
Taking the square root of both sides, we get:
d ≈ 26.2
Therefore, the distance from Rodney's feet to the top of the flagpole is approximately 26.2 feet.
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Y=-8x-24 6x+6y=24…..
Answer:
x = -4, y = 8
Step-by-step explanation:
\(6x+6y=24\) \(y=-8x-24\)
\(6x+6(-8x-24)=24\)
\(6x+(-48x-144)=24\)
\(6x+(-48x)=168\)
\(-42x=168\)
\(x=\frac{168}{-42}\)
\(x=-4\)
- - - - - - - - - - - - - - - - - -
\(6x+6y=24\)
\(6(-4)+6y=24\)
\(-24+6y=24\)
\(6y=48\)
\(y=\frac{48}{6}\)
\(y=8\)
Sara started adding and subtracting the rational expressions . LCD = 2(3)(7)(g)(g)(g) Finish Sara's work. What is the resulting rational expression?
Answer: A
Step-by-step explanation: on Edge
Answer:
D
Step-by-step explanation:
4. (NO CALC) Consider the differential equation dy/dx = x²-½y.(a) Find d²y/dx² in terms of x and y.
In summary d²y/dx² in terms of x and y is given by: d²y/dx² = 3/2 x + 1/4 y
Why is it?
To find d²y/dx², we need to differentiate the given differential equation with respect to x:
dy/dx = x² - 1/2 y
Differentiating both sides with respect to x:
d²y/dx² = d/dx(x² - 1/2 y)
d²y/dx² = d/dx(x²) - d/dx(1/2 y)
d²y/dx² = 2x - 1/2 d/dx(y)
Now, we need to express d/dx(y) in terms of x and y. To do this, we differentiate the original differential equation with respect to x:
dy/dx = x² - 1/2 y
d/dx(dy/dx) = d/dx(x² - 1/2 y)
d²y/dx² = 2x - 1/2 d/dx(y)
d²y/dx² = 2x - 1/2 (d²y/dx²)
Substituting this expression for d²y/dx² back into our previous equation, we get:
d²y/dx² = 2x - 1/2 (2x - 1/2 y)
d²y/dx² = 2x - x/2 + 1/4 y
d²y/dx² = 3/2 x + 1/4 y
Therefore, d²y/dx² in terms of x and y is given by:
d²y/dx² = 3/2 x + 1/4 y
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what is a equivalent fraction of 15 over 40
Answer:
3/8
Step-by-step explanation:
This is the simplified version
Answer:
3/8
Step-by-step explanation:
Divide 15 and 40 by 5...
What is the first step when solving the equation 3(3x - 5x) + 2 = -8?
Answer:
parentheses
Step-by-step explanation:
PEMDAS
Answer:
parentheses
Step-by-step explanation:
PEMDAS
Which algebraic representation matches the rotation above?
A.
(x, y) (-y, x)
B.
(x, y) (x, -y)
C.
(x, y) (-x, y)
D.
(x, y) (y, -x)
Answer:
A!
Step-by-step explanation:
1. Solve for X Y Z when (hint: use row operation not matrices. Also, you may get negative
values and decimal points for the unknowns, it is fine.)
2 + 4 + 2 = 144
+ 0.5 + 0.25 = 60
1.5 + 0.5 + = 36
The solution to the system of equations is:
X = -171, Y = -531, and Z = 363.
To solve the system of equations:
2X + 4Y + 2Z = 144 (Equation 1)
0.5X + 0.25Y = 60 (Equation 2)
1.5X + 0.5Y + Z = 36 (Equation 3)
We can use row operations to simplify and solve the system.
Let's start with Equation 2. Multiply both sides of Equation 2 by 4 to eliminate decimals:
2X + Y = 240 (Equation 4)
Now, let's solve Equations 1 and 4 using row operations. Multiply Equation 4 by -2 and add it to Equation 1:
-4X - 2Y = -480 (Equation 5)
2X + 4Y + 2Z = 144 (Equation 1)
2Y + 2Z = -336 (Equation 6)
Next, let's solve Equations 3 and 6 using row operations. Multiply Equation 6 by -3 and add it to Equation 3:
-3Y - 3Z = 1008 (Equation 7)
1.5X + 0.5Y + Z = 36 (Equation 3)
1.5X - 2.5Z = -972 (Equation 8)
We now have a simplified system of equations:
2Y + 2Z = -336 (Equation 6)
1.5X - 2.5Z = -972 (Equation 8)
-3Y - 3Z = 1008 (Equation 7)
Now, we can solve this system by using additional row operations.
Multiply Equation 6 by 1.5 and add it to Equation 8:
-4Z = -1452
Solving for Z, we get Z = 363.
Substituting the value of Z back into Equation 6, we can solve for Y:
2Y + 2(363) = -336
2Y = -1062
Y = -531.
Finally, substituting the values of Y and Z into Equation 7, we can solve for X:
-3(-531) - 3(363) = 1008
X = -171.
Therefore, the solution to the system of equations is:
X = -171, Y = -531, and Z = 363.
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Henry’s car used 4 gallons to travel 88 miles. How far can he travel on 10 gallons
Answer:220 miles
Step-by-step explanation: 88 divided by 4 is 22 then 22 multiplied by 10 is 220
What are the solutions of 2x^2 + 7x = 4
½
4
-½
-4
7
-7
Project: slang
here is your goal for this assignment:
recognize the use of slang in context
read a page or two of a newspaper. pick out several words that come from slang. (the sports section is a good place to find these terms. ) type a list.
remember to document your source properly, using mla format
The purpose of using slang is mostly for social purposes such as:
It is use as a kind of identity identify for any members of a group.It is often used to oppose an already set up authority.What is the use of slangs about?Slangs is often used in the Sharing and keeping of a constantly altering vocabulary aids.
It is used to show group solidarity and it is often used to include or exclude members.
The common sports slangs are:
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Use the graph to fill in the blank with the correct number. f(−2) = ________ Numerical Answers Expected! Answer for Blank 1:
Answer:
2
Step-by-step explanation:
check the point where the x is -2
what is its y-value ?
this is 2, right?
it means that f(-2)=2
Answer:
2
Step-by-step explanation:
Which of the following rows includes two groups that would be an example of disjoint sets? The statement above is best completed by the answers in row: Row Group 1 Group 2 O Students who regularly drink coffee Students who regularly drink pop Students who do not have a pet Students who walk their dog Students who take Math Students who take Science Students who play an instrument Students who take drama Prev Next ► Use the following information to answer the next question Carlos surveyed 50 students about the subjects they are taking in school this quarter. He recorded his results below. Favorite Subject Number of Students Math 20 Science 18 Neither Math nor Science 16 How many students like math and science? 04 4. 38 34 2 Use the following information to answer the next question U= {1,2,3,4,5,6,7,8,9) A={1,2,5,6) B=(3,9) 5. Which of the following statements is true for the sets U,A, and B? OUCA O ACU O ACB UcB
a. The correct answer is Row 3: Students who take Math Students who take Science.
b. For the second question, there are 22 students who like Math and Science.
c For the third question, the correct answer is UcB.
How to explain the informationa. The statement "Students who take Math and students who take Science" corresponds to the row:
Students who take Math | Students who take Science
Therefore, the answer is: Row3: Students who take Math | Students who take Science
b. For the second question, there are 20 + 18 - 16 = 22 students who like Math and Science.
c. For the third question, U is the universal set, A is a subset of U, and B is a subset of U. However, B is not a subset of A. Therefore, the correct answer is UcB.
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Can someone help me with this question?
32-[(3+6)2÷3]+2 = ---------
Answer:
-12
Step-by-step explanation:
What is the area of a circle when its circumference is 176
Answer:
Open this picture I send you
I hope I helped you :3
I hope you are having a great day ❤️❤️❤️❤️
\( \huge \mathrm{ Answer : }\)
\( \boxed{ \mathrm{circumference = 2\pi r}}\)
\(2\pi r = 176\)\(2 \times \dfrac{22}{7} \times r = 176\)\(r = 176 \times \dfrac{7}{22} \times \dfrac{1}{2} \)\(r = 28\)_____________________________
\( \boxed{Area = \pi {r}^{2} }\)
\( \dfrac{22}{7} \times 28 \times 28\)\(22 \times 4 \times 28\)\(2464\)Area of circle = 2464 unit²
_____________________________
\(\mathrm{ \#TeeNForeveR}\)
Explain, using an example, that there can be two logarithmic expressions, logₓ₁M and logₓ₂N such that x1≠ x2 and M ≠ N, but logₓ₁M = logₓ₂N.
For all \(\log_{x_{1}} M\) there is a \(\log_{x_{2}}N\) such that \(N = M^{\frac{1}{\log_{x_{2}} x_{1}} }\). The logarithmic expression log ₂ 8 is equivalent to the logarithmic expression log ₃ 27.
How to find equivalent logarithms
Logarithms are trascedental function, that is, a function that cannot be described algebraically.
Let suppose we know that \(\log _{x_{1}} M = \log_{x_{2}} N\) such that x₁ ≠ x₂. We proceed to prove that for all \(\log_{x_{1}} M\) there is a \(\log_{x_{2}} N\) by logarithm properties below:
\(\log_{x_{1}} M\) Given\(\frac{\log_{x_{2}}M}{\log_{x_{2}}x_{1}}\) Base change\(\frac{1}{\log_{x_{2}}x_{1}} \cdot \log_{x_{2}} M\) Associative property\(\log_{x_{2}} M^{\frac{1}{\log_{x_{2}} x_{1}} }\) \(n\cdot \log a = \log a^{n}\)\(N = M^{\frac{1}{\log_{x_{2}} x_{1}} }\) ResultFor example, let suppose that x₁ = 2, M = 8 and x₂ = 3, then the value of N is:
\(N = 8^{\frac{1}{\log_{3} 2} }\)
N = 27
Thus, for all \(\log_{x_{1}} M\) there is a \(\log_{x_{2}}N\) such that \(N = M^{\frac{1}{\log_{x_{2}} x_{1}} }\). The logarithmic expression log ₂ 8 is equivalent to the logarithmic expression log ₃ 27.
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All rectangles are _____. A. rhombuses B. quadrilaterals C. parallelograms D. squares
Answer:
d.squares
Step-by-step explanation:
Answer:
if you can select more than one answer, then the answers are B. Quadrilaterals and C. parallelograms
In circle V V, V W = 3 VW=3 and m ∠ W V X = 9 0 ∘ ∠WVX=90 ∘ . Find the length of ⌢ WX ⌢ . Express your answer as a fraction times π π.
The length of ⌢ WX ⌢ expressed as a fraction times π is:6÷π
What is Circle ?
In geometry, a circle is a two-dimensional shape consisting of all the points that are equidistant from a given point, called the center. The distance from the center to any point on the circle is called the radius of the circle.
From the given information, we know that V, W, and X are points on a circle with center V, and that VW = WX = 3. We also know that ∠WVX = 90°.
Since WX is a diameter of the circle, it has length equal to twice the radius of the circle. Let r be the radius of the circle, then we have:
VW + WX = 2r
3 + 3 = 2r
r = 3
So the radius of the circle is 3. Since WX is a diameter, its length is 2r = 6. Therefore, the length of ⌢ WX ⌢ expressed as a fraction times π is:6÷π
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Find the 15th term in the following arithmetic sequence : 1, 6, 11, 16, ...
Hint: Write a formula to help you. 1st term + common difference(desired term - 1)
Answer:
a₁₅ = 71
Step-by-step explanation:
The nth term of an arithmetic sequence is
\(a_{n}\) = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 1 and d = 6 - 1 = 5 , then
a₁₅ = 1 + (14 × 5) = 1 + 70 = 71
Step-by-step explanation:
hear is your answer in attachment
how do you calculate monthly forecasting 3 month moving
average
To calculate a three-month moving average for monthly forecasting, you need to follow these steps: Gather the historical data, Determine the time period, Calculate the moving average, Repeat the process.
Gather the historical data: Collect the monthly data for the specific variable you want to forecast. For example, if you want to forecast sales, gather the sales data for the past several months.
Determine the time period: Decide on the time period for your moving average. In this case, it is three months.
Calculate the moving average: Add up the values for the variable you are analyzing over the past three months and divide the sum by three to get the average. This will be your moving average value for the third month.
Repeat the process: Shift the time period by one month and calculate the moving average for the new three-month period. Continue this process for each subsequent month, updating the time period and calculating the moving average accordingly.
For example, let's say you have the following sales data for the past six months:
Month 1: 100 units
Month 2: 120 units
Month 3: 110 units
Month 4: 130 units
Month 5: 140 units
Month 6: 150 units
To calculate the three-month moving average for Month 4, you would add up the sales values for Month 2, Month 3, and Month 4 (120 + 110 + 130 = 360) and divide it by three to get an average of 120 units. Repeat this process for each subsequent month to obtain the moving average values for your forecast.
Note that the number of data points you include in the moving average calculation and the frequency of the data (monthly in this case) can be adjusted based on your specific needs and the nature of the data.
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The probability that a rental car will be stolen is. 4. if 3500 cars are rented, what is the approximate poisson probability that 2 or fewer will be stolen?
Using the Poisson distribution, there is a 0.8335 = 83.35% probability that 2 or fewer will be stolen.
What is the Poisson distribution?In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:
\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)
The parameters are:
x is the number of successese = 2.71828 is the Euler number\(\mu\) is the mean in the given interval.The probability that a rental car will be stolen is 0.0004, hence, for 3500 cars, the mean is:
\(\mu = 3500 \times 0.0004 = 1.4\)
The probability that 2 or fewer cars will be stolen is:
\(P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)\)
In which:
\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)
\(P(X = 0) = \frac{e^{-1.4}1.4^{0}}{(0)!} = 0.2466\)
\(P(X = 1) = \frac{e^{-1.4}1.4^{1}}{(1)!} = 0.3452\)
\(P(X = 2) = \frac{e^{-1.4}1.4^{2}}{(2)!} = 0.2417\)
Then:
\(P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.2466 + 0.3452 + 0.2417 = 0.8335\)
0.8335 = 83.35% probability that 2 or fewer will be stolen.
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is 4 hours bigger than 14,400 seconds
Answer:
no its equal
Step-by-step explanation:
Answer:
4 hours is equal to 14,400 seconds
Step-by-step explanation:
4*60=240
240*60=14400
an envelope contains bills in dollar amounts: ones, fives, tens and twenties. krishna draws two bills at random without replacement. what is the probability that the sum of the bills he draws is at least ?
The probability that the sum of the bills drawn by Krishna is at least 30$ is 10 / 12 = 5 / 6.
To calculate the probability that the sum of the bills drawn by Krishna is at least 30$, we need to know the total number of possible outcomes when drawing two bills at random without replacement and the number of outcomes that result in a sum of at least 30$.
There are 4 types of bills: ones, fives, tens and twenties. If we draw two bills at random without replacement, there are a total of 4*3 = 12 possible outcomes.
To find the number of outcomes that result in a sum of at least 30$, we need to find the number of outcomes where at least one bill is a twenty and the other bill is a ten or five.
There is 1 outcome where both bills are twenties.
There are 3 outcomes where one bill is a twenty and the other bill is a ten.
There are 6 outcomes where one bill is a twenty and the other bill is a five.
So, the total number of outcomes that result in a sum of at least 30$ is 1+ 1 + 3 + 6 = 10.
Therefore, the probability that the sum of the bills drawn by Krishna is at least 30$ is 10 / 12 = 5 / 6.
It's worth mentioning that if you want to know the probability that the sum of the bills drawn is exactly $30, you would have to find the outcomes that result in a sum of exactly 30$, which in this case is only one outcome.
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