The price range for the past week's common stock is $1.125.
To calculate the price range, we need to find the difference between the highest and lowest prices. The highest price is $62 and the lowest price is $60.875. So, the difference between them is:
$62 - $60.875 = $1.125
Therefore, the price range for the past week's common stock is $1.125.
This information can be useful for investors who are monitoring the performance of the company's stock over time.
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you and a classmate are assigned a project on which you will receive one combined grade. you each want to receive a good grade, but you also want to avoid hard work. in particular, here is the situation: • if both of you work hard, you both get an a, which gives each of you 40 units of happiness. • if only one of you works hard, you both get a b, which gives each of you 30 units of happiness. • if neither of you works hard, you both get a d, which gives each of you 10 units of happiness. • working hard costs 25 units of happiness.
In order to maximize their combined happiness and minimize the amount of work, it is beneficial for both the student and their classmate to work hard on the project.
Considering the given situation, we can analyze the possible outcomes. If both students work hard, they both receive an A grade and gain 40 units of happiness each.
If only one of them works hard, they both receive a B grade, which provides 30 units of happiness each. If neither of them works hard, they both receive a D grade and gain 10 units of happiness each.
Since working hard costs 25 units of happiness, it might seem tempting for both students to avoid the hard work and settle for the D grade.
However, by analyzing the outcomes, it becomes clear that the best option is for both students to work hard.
This choice maximizes their combined happiness, as receiving an A grade provides the highest level of happiness (40 units each) compared to the other options.
Therefore, by putting in the effort and working hard, both students can achieve their goal of receiving a good grade while maximizing their happiness.
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the value of x is: 52 degrees. 128 degrees. 48 degrees. None of the choices are correct.
Answer:
52°
Step-by-step explanation:
Since the side 52° is 10 and is congruent to the other side x° (also has 10), we know that the triangle is isosceles and that the 2 angles are congruent (by definition of an isosceles triangle). We could also use Law of Sines and Law of Cosines to prove this.
Answer:
A. 52 degrees
Step-by-step explanation:
Two sides are equal, so the triangle is an isosceles triangle.
Both base angles are equal.
x = 52
Find a polar equation of the form r = f(theta) for the curve represented by the Cartesian equation x = 3.
*NOTE*: Since theta is not a symbol on your keyboard, use t  in place of theta in your answer.Â
r =Â
the polar equation of the form r = f(t) for the curve represented by the Cartesian equation x = 3.sec(t)
To find a polar equation for the given Cartesian equation x = 3, we need to convert it into polar form. We know that x = rcos(t) and substituting x = 3, we get 3 = rcos(t). Solving for r, we get r = 3/cos(t) which simplifies to r = 3sec(t). The polar coordinate system uses an angle t (or theta) and a distance r to describe a point in the plane. To convert a Cartesian equation to polar form, we need to express x and y in terms of r and t. In this case, we are given x = 3. We know that x = rcos(t), so we substitute x = 3 into this equation and get 3 = rcos(t). Solving for r, we get r = 3/cos(t). This can be simplified to r = 3sec(t), which is our polar equation of the form r = f(t).
In this equation, sec(t) is the reciprocal of cos(t), which means that the value of r will get larger as cos(t) gets smaller (i.e. as t approaches 90 degrees or pi/2 radians). This makes sense since the Cartesian equation x = 3 represents a vertical line passing through the point (3,0) on the x-axis. As we move up the line (in the positive y direction), the distance from the origin increases and the angle t approaches 90 degrees. Therefore, the value of r should get larger as t approaches 90 degrees, which is exactly what our polar equation shows.
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A polynomial f and a factor of f are given. Factor f completely.
f(x) = 3x³ + 13x²+2x-8; x + 4
Answer:
(x+4)(3x-2)(x+1)
Step-by-step explanation:
Since slope is constant along a linear demand curve, elasticity is constant as well.
True
False
Since the slope is constant along a linear demand curve, elasticity is constant as well. - False
A linear demand curve does indeed have a constant slope, but this does not imply that it has a constant elasticity. The percentage change in the quantity required divided by the percentage change in price is the definition of elasticity. For a linear demand curve, the elasticity will change based on the slope and intercept of the curve at various places along the curve.
For example: The elasticity will be stronger in absolute terms at lower costs and smaller quantities, and smaller at higher prices and larger quantities. This is due to the fact that starting from a lower price and quantity will result in a bigger percentage change in quantity requested for a given change in price. As a result, the elasticity will change and not remain constant along the curve.
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Select the equation of a straight line that is perpendicular to the line y = 3x-2
((PLEASEEE HELPP MEE))
The elimination method is ideal for solving this system of equations. By which number must you multiply the second equation to eliminate the y-variable, and what is the solution for this system?
x + 3y = 42
2x=y= 14
A.) Multiply the second equation by-3. The solution is x = 12, y=9.
B.) Multiply the second equation by -2. The solution is = 12. y=10.
C.) Multiply the second equation by 2. The solution is x= 15, y=9.
D.) Multiply the second equation by 3. The solution is x= 12 y= 10.
Answer:
D.
Step-by-step explanation:
In order to eliminate, the numbers must eliminate. If the second equation is multiplied by 3, then the 3 and the -3 can be eliminated. Since it is multiple choice, we can plug in x = 12 and y = 10 to see if they are correct. 12 + 30 = 42 and 24 - 10 = 14, so D is correct.
What is the Y intercept equation of
-3x - y = 7
Answer:
0, -7
Step-by-step explanation:
Suppose a city with a population of 200,000 has been growing at a rate of 3% per year. If this rate continues, find the population of this city in 13 years.
Suppose a population of 160 crickets doubles in size every month. The function
f(x) = 160:2* gives the population after x months. How many crickets will there be after 2
years?
O2,684,354,560 crickets
O640 crickets
07,680 crickets
O655,360 crickets
Answer:
1. no
2. 2,684,354,560 crickets
3. $9,200
4. b
5. 7.5
6.b
toms water bottle can hold up to 32 ounces of water. each day he drinks more than 2 full bottles of water. which inequality correctly describes the number of ounces of water, w, that tom drinks each day?
The inequality that correctly describes the number of ounces of water, w, that tom drinks each day is d. 64<w.
Amount of water that the bottle can hold = 32 ounces
Bottles of water consumed = 2
A mathematical comparison and representation of the connection between two expressions is known as an inequality. It can be regarded as a generalisation of an equation and is denoted by signs such as <, > and =.
Tom consumes more than two complete bottles of water every day. Since each bottle can carry up to 32 ounces of water, we can describe Tom's daily water consumption as -
= w > 2 × 32
Therefore,
Simplifying the right side of the inequality:
w > 64
Complete Question:
Toms water bottle can hold up to 32 ounces of water. each day he drinks more than 2 full bottles of water. which inequality correctly describes the number of ounces of water, w, that tom drinks each day?
a. w>2
b. 32<w
c. w = 64
d. 64<w
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4 Suki watches a movie and eats a snack afterward. The movie starts at 7:15 PM
and is 1 hours long. Suki finishes her snack at 9:10 PM. How long does Suki
spend eating a snack?
Show your work.
It’s question 4 btw
25 minutes long
Explanation:Hope this helps!
Ok so we know that the movie starts at 7:15 PM. The duration of the movie is 1.5 hours long. She begins eating her snack after the movie which, sense 7:15 plus 1.5 hours is 8:45, is 8:45. She finishes her snack at 9:10. What is the difference between 9:10 and 8:45?
For me, the easiest thing to do we would be to add a half hour (30 minutes) to the 8:45. This gets 9:15. Since 9:15 is past 9:10, I subtract the difference to get 5 minutes. I then take the 30 minutes I added to the 8:45 and subtract the 5 minutes that it went over to get 25 minutes. This is the easiest way to get the answer in my opinion. Sorry if this could not be of help to you!
Diagram to better understand maybe? (I did the best I could with this lol)
x (the 25 minutes you found once you solved it)
^
7:15 PM ----------------------------- 1.5 hours later----------------------------------- 9:10 PM
^ ^ ^
Time the movie started Movie length When she finished eating
♡ I am so proud of you! You are doing amazing and you are glowing! Keep up the great work and have a good day! ♡Simplify a x b x 8 please?????
Answer:
8ab
Step-by-step explanation:
I NEED HELP ASAP !!
A triangle is formed by A(0,1), B(1,0), and C(2,4). Which algebraic representation would transform point A to point F(0,0)?
Select one:
(x,y)→(y,−x)
(x,y)→(−x,y)
(x,y)→(x,−y)
(x,y)→(x,y−1)
Mortimer has 3/4 of his birthday cake left on his party how many 3/16 size portions can you share with his family
Given:
Fraction of cake left = ¾
Let's find the number of 3/16 size portions of the remaining cake he can share with his family.
To find the amount of 3/16 size portions he can share, divide the remainder by 3/16.
Thus, we have;
\(\frac{3}{4}\div\frac{3}{16}\)To divide the fractions, change the division symbol to multiplication and flip the fraction on the right.
We have:
\(\begin{gathered} \frac{3}{4}\ast\frac{16}{3} \\ \\ =\frac{3\ast16}{4\ast3} \\ \\ =\frac{48}{12} \\ \\ =4 \end{gathered}\)Therefore, he can share 4 portions of 3/16
ANSWER:
4
The sum of the first five terms of an arithmetic sequence is 90 less than the sum of the next five terms. What is the absolute difference between two consecutive terms of this sequence
the absolute difference between two consecutive terms of this arithmetic sequence is 18.
Let's denote the first term of the arithmetic sequence as 'a' and the common difference as 'd'.
The sum of the first five terms can be expressed as:
S1 = a + (a + d) + (a + 2d) + (a + 3d) + (a + 4d)
The sum of the next five terms can be expressed as:
S2 = (a + 5d) + (a + 6d) + (a + 7d) + (a + 8d) + (a + 9d)
According to the given information, the sum of the first five terms is 90 less than the sum of the next five terms:
S1 = S2 - 90
Substituting the expressions for S1 and S2:
a + (a + d) + (a + 2d) + (a + 3d) + (a + 4d) = (a + 5d) + (a + 6d) + (a + 7d) + (a + 8d) + (a + 9d) - 90
Simplifying the equation:
5a + 10d = 5a + 15d - 90
Canceling out the common terms:
10d = 15d - 90
Rearranging the equation:
5d = 90
Dividing both sides by 5:
d = 18
Now that we have the common difference 'd', we can find the absolute difference between two consecutive terms by subtracting one term from the next. In this case, the absolute difference is equal to the common difference 'd':
Absolute difference between two consecutive terms = d = 18
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Bert is driving along a country road at a constant speed of 30 miles per hour. How long does it take for him to travel 50 miles?
The time of 1 hour 40 minutes Bert takes for him to travel 50 miles.
What is the distance?Distance is defined as the product of speed and time.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
The operator that performs the arithmetic operation is called the arithmetic operator.
Operators which let do a basic mathematical calculation
+ Addition operation: Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 4 -2 = 2
* Multiplication operation: Multiplies values on either side of the operator
For example 4*2 = 8
Given that Bert is driving along a country road at a constant speed of 30 miles per hour
To determine the time it takes for him to travel 50 miles.
Let the time of x minutes it takes for him to travel 50 miles.
⇒ 30 miles/60 minutes = 50 miles/ x minutes
Cross multiplication apply in above equation,
⇒ 30x. x = 60x50
⇒ 3000 = 30x.
⇒ x = 100 minutes, or
⇒ 1 hour 40 minutes
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what is the compliment to a 75 degree angle
Answer:
90 degree angle
Step-by-step explanation:
what is 3⁵÷3⁷ using indicies?
Answer:
9
Step-by-step explanation
First you multiply 3 five times, then you multiply 3 seven times and you divide the results of each multiplication
Answer:
0.111111111111111
Step-by-step explanation:
=> 3⁵÷3⁷
Note 3⁵ means multiplying 3 five times
And 3⁷ means multiplying 3 7 times
=> 3×3×3×3×3÷3×3×3×3×3×3×3
multiply the values and then divide
=> 243÷2,187
divide 243 by 2187
=> 0.111111111111111
question 12. write the product using exponents
PLEASE HELP FAST
decide if the following systems of equations have a single solution no solution or infinity many solution x+ 5y =9 _ x+5y=6
Answer:
no solutions
Step-by-step explanation:
I believe there are no solutions for these 2 equations.
Hope this helps!
aya has 14 2/5 feet of chain. She wants to make pieces foot long math. How many can she make? b Solve the problem using decimals
Aya can make 14 mats of 1 foot long.
What is division?Division is one of the fundamental arithmetic operation, which is performed to get equal parts of any number given, or finding how many equal parts can be made. It is represented by the symbol "÷" or sometimes "/"
Given that, Aya has 14\(\frac{2}{5}\) feet of chain. She wants to make pieces foot long mat.
Let can make x mats out of the given chain, since each mat is 1 foot long, so,
1×x = 14\(\frac{2}{5}\)
x = 72/5
x = 14.4
x ≈ 14
Hence, She can make 14 mats out of the given chain.
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Identify the incorrect step and explain why it's incorrect Constants Variables 4x + 12 = -4x - 20 Step 1: -4x -4x 12 = -8x - 20 Step 2 +20 +20 Step 3 32 = -8x -8x 8x -4 = X
Answer:
Step 3:
Explanation:
Step 3 is incorrect because we actually need to divide both sides by -8
\(\frac{32}{8}=-\frac{8x}{-8}\)but instead, we have divided the equation by -8x.
A recipe instructs the cook to use 4 cups of water for each 3 cups of powder. If you used 10 cups of water, how much powder should be added?
Answer:
it would b 2 in half cups of powder
pls help and look at the picture. I need someone to explain this to me.
Answer:
im pretty sure it would be 9 bc there are 3 dif colours and 3 dif finishes and u j count the table
Step-by-step explanation:
CAN U WRITE IF THEYRE POTENTIAL OR KINETIC PLZ?? I WILL MARK BRAINLIEST
Answer:
1. potential
2. potential
3. potential
4. kinetic
5. kinetic
6. kinetic
7. potential
8. kinetic
9. kinetic
10. potential
11. kinetic
12. potential
Step-by-step explanation:
a 12 inch candle burns down in 12 hours. at what rate does the candle burns, in inches per hour?
Answer:
1 inch per hour because it took 12 hours to burn a 12 inch candle so 1 inch per hour
The candle burns at a rate of 1 inch per hour.
What is a unitary method?
A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, A 12-inch candle burns down in 12 hours.
∴ The rate at which it burns per hour is the total length of the candle divided by the total time it brunt for which is,
= (12/12) inch/hr.
= 1 inch/hr,
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Plz helppppp me I need to know how to do this for a test
48 pens are packed in four boxes how many pens are packed in nine boxes
Answer:
108 pens
Step-by-step explanation:
48/4=x/9
4x=432
x=108
Answer:
Since there are 12 pens packed in each box, because there are 48 packed in 4 boxes, there will be ( 12 times 9 ) 108 pens in 9 boxes.
Put it in vertex form by completing the square
Answer: -∞<x<∞
Explanation: The function has no undefined points or domain constraints.