Answer
A 127 pound woman can have 814.7 mg of medicine in as day
Explanation
Let the amount of medicine a 127 pound woman can have be x mg
Assuming the amount of medicine doesn't depend on gender and only depends on weight,
159 pound man = 1020 mg
127 pound woman = x mg
We can write a mathematical relationship for this by cross multiplying
(159) (x) = (127) (1020)
159x = 129,540
Divide both sides by 159
(159x/159) = (129,540/159)
x = 814.7 mg
Hope this Helps!!!
The height, s of a ball (in feet) thrown with an initial velocity of 80 feet per second from an initial height of 6 feet is given as a function of the time t (in seconds) by s(t)=-16t^2 +80t+6. Explain in detail how you could find the maximum height of the ball. Now, explain, in detail, a second method of finding the maximum height. Using one of these two methods, determine the time at which height is a maximum and find that maximum height. Be sure to use units in your answer and explain your methods thoroughly.
How would the graph of the function y = r? - 8 be affected if the function were changed to y = x? - 3?
A The graph would shift 5 units to the left.
B The graph would shift 5 units down.
С The graph would shift 5 units up.
D The graph would shift 3 units down
What is the unit rate per student?
12 students ate 4.5 pizzas
Answer:
5,200rs
Step-by-step explanation:
Answer:
0.37
Step-by-step explanation:
please mark me as brainlest
Solve the Problem below
Answer:
3/4 + 1= 2x - x+1/4
Step-by-step explanation:
State the complementary event of rolling a die and getting a number less than 3.
The complementary event of rolling a die and getting a number less than three is that the six-sided die is rolled and the outcome is greater than three. Where P = n < 3 is the event and its complement is P' = n > 3.
What is the complement of an event?The sample space of all outcomes that are not the event in question is the complement of an event. The inverse of "a flipped coin lands on heads" is "a flipped coin lands on tails."
If the chance of drawing a red marble from a bag is 26%, the chance of the complement (picking a non-red marble ) is 74%.
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What is the solution of the equation 3 and minus 2 is equal to 46?
The solution of the equation 3z minus 2 is equal to 46 is 16.
The given equation '3z minus 2 is equal to 46' can be written as
3z - 2 = 46
Now solving for z because the value of z will give the required solution of the given equation. So now finding the z from the equation:
3z = 46 + 2
3z = 48
z = 48/3
z = 16
The value of the z is 16 which represents the solution of the given equation i.e 3z minus 2 is equal to 46.
Therefore it is concluded that the solution of the equation 3z minus 2 is equal to 46 is 16.
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Solve the right triangle, Please Do not Roundup. NEED HELP ASAP PLEASE.
The angles and length of the right triangle are as follows:
WX = 10√141 units
m∠X = 30°
m∠V = 60°
How to find the side of a right angle triangle?A right angle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a right angle triangle is 180 degrees.
Trigonometric ratios can be used to find the side and angles of the right triangle as follows;
Therefore,
Using Pythagoras's theorem,
WX² = (20√47)² - (10√47)²
WX² = 400(47) - 100(47)
WX² = 18800 - 4700
WX = √14100
WX = 10√141
Let's find the angles
sin m∠X = opposite / hypotenuse
sin m∠X = 10√47 / 20√47
sin m∠X = 1 / 2
m∠X = sin⁻¹ 0.5
m∠X = 30 degrees
Therefore,
m∠V = 180 - 90 - 30
m∠V = 60 degrees
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8(y+4)-2(y-1)=70-3y
solve for y
Answer:
y = 4
Step-by-step explanation:
8(y + 4) - 2(y - 1) = 70 - 3y ← distribute parenthesis and simplify left side
8y + 32 - 2y + 2 = 70 - 3y
6y + 34 = 70 - 3y ( add 3y to both sides )
9y + 34 = 70 ( subtract 34 from both sides )
9y = 36 ( divide both sides by 9 )
y = 4
with which type of time series data should moving average smoothing methods produce the best forecasts
a. seasonal
b. stationary
c. trending
d. cyclical
e. trending with cycle
f. all the above
Moving average smoothing methods are best suited for seasonal, stationary, and trending data, allowing for improved forecasting accuracy.
Moving average smoothing methods are a type of time series forecasting that involve taking the average of past data points. These methods are best suited for seasonal, stationary, and trending data, as they are able to capture the underlying patterns in the data. For trending data a moving average can be used to identify the trend and thus improve forecasts. For cyclical data, moving averages can be used to identify and predict the peaks and troughs in the data, allowing for improved forecasting accuracy. For stationary data moving averages can be used to detect changes in the data and thus improve forecasts. Moving average smoothing methods can be used for all types of time series data, but will produce the best forecasts for seasonal, stationary, and trending data.
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Which function has the greatest y-intercept?
Answer:
If it's on edge, the answers look like graphs.
Step-by-step explanation:
The second one
can some answer this for me i don't understand it
work out the volume of a square based pyramidheight-24.4cmlength-17.2cm
Answer
=2406.16533
Step-by-step explanation:
which choice is equivalent to the quotient shown here when x=0? sqrt of 27x divided by sqrt of 48
The equivalent to the quotient shown is determined as ( 3√x ) / ( 4 ).
option B.
What is the quotient of the division?
The quotient of a division is the final answer that we get when we divide a number.
The given expression is;
√ ( 27x ) ÷ √ ( 48 )
The expression is simplified as follows;
√ ( 27x ) x 1 / √ ( 48 )
Simplify √ ( 27x ) as; √ ( 27x ) = 3√3x
Simplify √ ( 48) as; √ ( 48) = 4√3
√ ( 27x ) x 1 / √ ( 48 ) = (3√3x ) / ( 4√3 )
Simplify further, we will have;
(3√3x ) / ( 4√3 )
= ( 3 x 3 √x ) / ( 4 x 3)
= ( 3√x ) / ( 4 )
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(1) An architect firm uses an average of 60 boxes of copier paper a day. The fim operates 280 days a year. Storage and handling costs for the paper are $30 a year per box, and its costs approximately $60 to order and receive a shipment of paper. (a) What quantity order size would minimize the total annual inventory cost? (b) Determine the minimum total annual inventory cost. (c) The office manager is currently using an order size of 300 boxes. The partners of the firm expect the office to be managed "in a cost-efficient manner." Would you recommend the manager to use your quantity from part (a) rather than 300 boxes? Justify your answer (by determining the total annual inventory cost for 300 boxes):
Part a: What quantity order size would minimize the total annual inventory cost? Total Annual Inventory Cost = Annual Ordering Cost + Annual Carrying Cost At minimum Total Annual Inventory Cost, the formula for the Economic Order Quantity (EOQ) is used. EOQ formula is given below: EOQ = sqrt((2DS)/H)Where, D = Annual DemandS = Ordering cost
The company should place an order for 168 boxes at a time in order to minimize the total annual inventory cost.Part b: Determine the minimum total annual inventory cost.Using the EOQ, the company can calculate the minimum total annual inventory cost. The Total Annual Inventory Cost formula is:Total Annual Inventory Cost = Annual Ordering Cost + Annual Carrying CostAnnual Ordering Cost = (D/EOQ) × S = (16,800/168) × $60 = $6,000Annual Carrying Cost = (EOQ/2) × H = (168/2) × $30 = $2,520Total Annual Inventory Cost = $6,000 + $2,520 = $8,520Therefore, the minimum Total Annual Inventory Cost would be $8,520.Part c: Would you recommend the manager to use your quantity from part (a) rather than 300 boxes? Justify your answer (by determining the total annual inventory cost for 300 boxes)
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(Type an integer or a decimal)
Answer:
3
Step-by-step explanation:
3y=12y-27
27=9y
y=3
PLEASE HELP I WILL MARK BRAINLIEST!!!! :)
Given:
The stem-and-leaf table of a data set.
To find:
The median of the given data set.
Solution:
In the stem-and-leaf table 1|2 can be written as 12. So, the data values from the given stem-and-leaf table are:
05, 05, 07, 08, 09, 10, 12, 14, 14, 14, 15, 15, 16, 19, 19, 21, 22, 24, 25, 28
Here, the number of observations = 20, which is an even number. So,
\(Median=\dfrac{\dfrac{n}{2}\text{th term}+(\dfrac{n}{2}+1)\text{th term}}{2}\)
\(Median=\dfrac{\dfrac{20}{2}\text{th term}+(\dfrac{20}{2}+1)\text{th term}}{2}\)
\(Median=\dfrac{10\text{th term}+11\text{th term}}{2}\)
From the given data set, it is clear that the 10th term is 14 and the 11th term is 15.
\(Median=\dfrac{14+15}{2}\)
\(Median=\dfrac{29}{2}\)
\(Median=14.5\)
Therefore, the median number of hits is 14.5.
Can someone please help me with this problem?
Answer: 18/9 if not it's something along that-
Step-by-step explanation:
7^2 = 49 so like 49-31 equals 18 and the denominator 3^2 = 9 , so if it's not 18/9 then it's like 1/2 or something bc 9 + 9 is 18 yk-
Consider the points below. P(θ),−4,0),Q(5,1,−2),R(6,4,1) (a) Find a nonzero vector orthogonal to the plane through the points P,Q, and R. (b) Find the area of the triangle PQR.
(a) A nonzero vector orthogonal to the plane through the points P, Q, and R is (9, -17, 35). (b) The area of triangle PQR is \(\sqrt\)(811) / 2.
(a) To determine a nonzero vector orthogonal to the plane through the points P, Q, and R, we can first find two vectors in the plane and then take their cross product. Taking vectors PQ and PR, we have:
PQ = Q - P = (5, 1, -2) - (-4, 0, 0) = (9, 1, -2)
PR = R - P = (6, 4, 1) - (-4, 0, 0) = (10, 4, 1)
Taking the cross product of PQ and PR, we have:
n = PQ x PR = (9, 1, -2) x (10, 4, 1)
Evaluating the cross product gives n = (9, -17, 35). Therefore, (9, -17, 35) is a nonzero vector orthogonal to the plane through points P, Q, and R.
(b) To determine the area of triangle PQR, we can use the magnitude of the cross product of vectors PQ and PR divided by 2. The magnitude of the cross product is given by:
|n| = \(\sqrt\)((9)^2 + (-17)^2 + (35)^2)
Evaluating the magnitude gives |n| = \(\sqrt\)(811).
The area of triangle PQR is then:
Area = |n| / 2 = \(\sqrt\)(811) / 2.
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What is f(6) ? f(6) = 30 f(6) = 10 f(9) = 45
the table shows the results of two students spinning the arrow on a spinner
jousha blue 2, yellow 3, green 1, red 4.
Jared blue 3, yellow 3, green 2, red 7.
Based on the combined results for both students, enter probalility pf the arrow stopping on red in one spin
The probability of the arrow stopping on red in one spin is 11/25 or 0.44.
How to calculate the probability of the arrow stopping on red in one spin?To calculate the probability of the arrow stopping on red in one spin, we need to find the total number of spins in which the arrow stops on red and divide it by the total number of spins.
The total number of spins in which the arrow stops on red is 4 + 7 = 11.
The total number of spins by both students is 2 + 3 + 1 + 4 + 3 + 3 + 2 + 7 = 25.
Therefore, the probability of the arrow stopping on red in one spin is 11/25 or 0.44.
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Which inequality is represented by this graph?
A. 0 > X
B. X > 0
C. 0 >_ X
D. X >_ 0
Answer:
B. X > 0
Step-by-step explanation:
It is X > 0, because the circle is empty, which means that X cannot be 0, which allows s to eliminate C and D as an answer. The arrow shows that X is greater than 0. Therefore, you can eliminate A as an answer, leaving us with B. X > 0
Suppose m is the line with equation x=-5, line n is the equation y=1
Here is the complete question:
suppose m is the line with equation x=-5, line n is the line with equation y=1, line g is the line with equation y=x, and line h is the line with equation y=-2. Given A(9,-3), B(6,4), and C(-1,-5), what are the coordinates of the vertices of △A′B′C′ for each reflection?
1. Rx-axis
2. Ry-axis
Answer with step-by-step explanation:
1. When you get the reflecting coordinates along x-axis, the signs of the y coordinates changes. Therefore, A(9,-3), B(6,4), and C(-1,-5) becomes:
A(9, 3), B(6, -4), and C(-1, 5).
2. When you get the reflecting coordinates along y-axis, the signs of the x coordinates changes. Therefore, A(9,-3), B(6,4), and C(-1,-5) becomes:
A(-9, -3), B(-6, 4), and C(1, -5).
Find the lowest common denominator (multiple). Type the equivalent fractions. Then, add or subtract. Simplify your answer. 1
2
1
3
Answer:what
Step-by-step explanation:what does this mean
the question is on the picture
The length of the line segment is given by the distance equation
D = 7.2 units
What is the distance of a line between 2 points?The distance of a line between 2 points is always positive and given by the formula
Let the first point be A ( x₁ , y₁ ) and the second point be B ( x₂ , y₂ )
The distance between A and B is D , and the distance D is
Distance D = √ ( x₂ - x₁ )² + ( y₂ - y₁ )²
Given data ,
Let the distance of the line segment between two points be D
Now , the equation will be
Let the first point be represented as P ( 1 , 6 )
Let the second point be represented as Q ( 7 , 2 )
Now , distance between P and Q is D , and the distance D is
Distance D = √ ( x₂ - x₁ )² + ( y₂ - y₁ )²
D = √ ( 1 - 7 )² + ( 6 - 2 )²
On simplifying the equation , we get
D = √ ( -6 )² + ( 4 )²
D = √ ( 36 + 16 )
D = √ 52
D = 7.2 units
Hence , the distance is 7.2 units
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Find a. Roud to the nearest tenth:
2cm
15*
a
105*
c
Answer:
So since we use law of sines. We can get 2 fractions equal to eachother but first we need to solve for missing angle. That would be 180-105-15 = 60
So now we can get a fraction. So that means that sin(105)/2 = sin(60)/a
Then we do recipricol. 2/sin(105) = a/sin(60)
multiply by sin(60) both sides.
2sin(60)/sin(105) = a
round and solve and we get a is equal to
1.7931 or 1.8
I need help plsssssssssss
Answer:I think its multiply
Step-by-step explanation: 90 x 2 = 180
Adding & subtracting decimals word problems
Answer:
7.17 km
Step-by-step explanation:
please like my answer and brainliest me......huhu
√144² =
√9 + √16 =
√9 + √16 × √400 =
Answer:
Step-by-step explanation
√144²
12²
144
√9 + √16
3 + 4
7
√9 + √16 × √400 =
3 + 2^{4} x 5
3 + 80
83
2. Ms. Fallis wants to tile a kitchen counter that has an area of 2 square meters. She has 2000 square tiles with 3-centimeter sides. Does she have enough tiles to cover the counter?
Fallis has 2000 square centimeters (cm²) tiles, she does not have enough tiles to cover the entire counter.
To find out if Ms. Fallis has enough tiles to cover the counter, we need to calculate how many tiles are required to cover an area of 2 square meters.
Since the tiles have a side length of 3 centimeters, we need to convert the area of the counter to square centimeters.
1 square meter = 10000 square centimeters (cm²)
So, 2 square meters = 20000 square centimeters (cm²)
Now, we need to calculate the area of each tile:
Side length of each tile = 3 centimeters (cm)
Area of each tile = \((side length)^2\) = \((3 cm)^2\) = 9 square centimeters (cm²)
To cover the counter, we need to divide the total area of the counter by the area of each tile:
Number of tiles required = (Total area of counter) / (Area of each tile)
= 20000 cm² / 9 cm²
= 2222.22
Since we cannot have a fraction of a tile, we need to round up to the nearest whole number of tiles. So, Ms. Fallis needs at least 2223 tiles to cover the counter.
Since she has 2000 square centimeters (cm²) tiles, she does not have enough tiles to cover the entire counter.
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A student measures which method of taking notes improves grades more, using a computer or a pencil and paper. What type of study is described?
Answer:
Everybody takes notes, or at least everybody claims to. But if you take a close look, many who are claiming to take notes on their laptops are actually surfing the Web, and paper notebooks are filled with doodles interrupted by a couple of random words with an asterisk next to them reminding you that “This is important!” In college, these approaches will not work. In college, your instructors expect you to make connections between class lectures and reading assignments; they expect you to create an opinion about the material presented; they expect you to make connections between the material and life beyond college. Your notes are your road maps for these thoughts. Do you take good notes? After learning to listen, note taking is the most important skill to ensure your success in a class.
Effective note taking is important because it:
Supports your listening efforts.
Allows you to test your understanding of the material.
Helps you remember the material better when you write key ideas down.
Gives you a sense of what the instructor thinks is important.
Creates your “ultimate study guide.”
Effective note-taking helps students retain what they learned in class so that they can use the material to study and build their knowledge and tackle more complex concepts later on. In fact, research indicates that there’s a 34 percent chance that students will remember key information if it’s present in their notes but only a 5 percent chance if it’s not. It doesn’t matter whether you prefer to write brief summaries or make visual guides and diagrams in your notes. The important thing is to find a note-taking strategy that works for you.
There are various forms of taking notes, and which one you choose depends on both your personal style and the instructor’s approach to the material. Each can be used in a notebook, index cards, or in a digital form on your laptop. No specific type is good for all students and all situations, so we recommend that you develop your own style, but you should also be ready to modify it to fit the needs of a specific class or instructor. To be effective, all of these methods require you to listen actively and to think; merely jotting down words the instructor is saying will be of little use to you.
The following are a few recommendations to try out:
Stay organized: Keep your notes and handouts separate for each class. For example, you might have a different notebook and folder for each class or a large notebook with a different tab for each class. This will save you the time of trying to organize and locate your notes when studying for an exam.
Use your paper: Many students try to fit all of a day’s class notes onto one page and are often left with many extra blank pages in their notebooks. Instead, every time your instructor changes topics, flip to a new page. This allows you to find the material easily and makes your notes much cleaner.
Use visual cues: Try highlighting, underlining, or drawing arrows or exclamation points next to any main or difficult concepts. This will call attention to these sections and remind you to spend more time reviewing them.
Group together similar concepts: Grouping or “chunking” material is a good way to make studying and memorization easier. You can try drawing the main concept and connecting it to smaller, related concepts or making an outline of the information. Either one can serve as an effective study guide.
Make notes legible: Some people have messy handwriting. However, writing as clearly as possible when you take notes will make it easier to review them later. It’s also helpful if you’re asked to share your notes with another student who missed class. If laptop use is permitted during class, you can also type your notes.
Step-by-step explanation: