Answer:
$7 per pound
Step-by-step explanation:
28/4
at rush hour, two people per second step onto an escalator. the escalator takes 20 seconds to bring a person from the bottom to the top. how many people are on the escalator during rush hour? (round to the nearest integer)
The number of people on the escalator during rush hour will depend on how long rush hour lasts, so it is not possible to provide a single answer without knowing the length of rush hour.
At rush hour, two people per second step onto the escalator, so in one second, 2 people get on the escalator.
The escalator takes 20 seconds to bring a person from the bottom to the top, so for every 20 seconds, 2 people get on the escalator and 2 people get off the escalator.
To find the number of people on the escalator during rush hour, we need to determine the number of people on the escalator after a certain amount of time, say t.
The number of people on the escalator at time t can be calculated as follows:
people on the escalator at time t = 2 * t - 2 * floor(t / 20)
where floor(t / 20) represents the number of complete cycles (20 seconds each) that have occurred.
For example, if t = 40 seconds, then floor(t / 20) = 2, so the number of people on the escalator would be:
people on the escalator at time 40 = 2 * 40 - 2 * 2 = 76
The number of people on the escalator will continue to increase as long as rush hour continues, so it is not possible to give a single answer to the question "how many people are on the escalator during rush hour?" without more information.
In general, the number of people on the escalator during rush hour will depend on how long rush hour lasts, so it is not possible to provide a single answer without knowing the length of rush hour.
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The number of people on the escalator during rush hour will depend on how long rush hour lasts, so it is not possible to provide a single answer without knowing the length of rush hour.
At rush hour, two people per second step onto the escalator, so in one second, 2 people get on the escalator.
The escalator takes 20 seconds to bring a person from the bottom to the top, so for every 20 seconds, 2 people get on the escalator and 2 people get off the escalator.
To find the number of people on the escalator during rush hour, we need to determine the number of people on the escalator after a certain amount of time, say t.
The number of people on the escalator at time t can be calculated as follows:
people on the escalator at time t = 2 * t - 2 * floor(t / 20)
where floor(t / 20) represents the number of complete cycles (20 seconds each) that have occurred.
For example, if t = 40 seconds, then floor(t / 20) = 2, so the number of people on the escalator would be:
people on the escalator at time 40 = 2 * 40 - 2 * 2 = 76
The number of people on the escalator will continue to increase as long as rush hour continues, so it is not possible to give a single answer to the question "how many people are on the escalator during rush hour?" without more information.
In general, the number of people on the escalator during rush hour will depend on how long rush hour lasts, so it is not possible to provide a single answer without knowing the length of rush hour.
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Over the past 20 years the prices of homes have increased by 30%, resulting in the average price of a house being $500,000. What was the average price of a house 20 years ago?
Answer:
In the best 30 years for the housing market (1976-2005), real price appreciation averaged 2.2% per year. In the worst 30 years for housing (1895-1924), real price appreciation averaged -2.0% per year.
Answer:
Step-by-step explanation:
Compare your average K, at room temperature to the K, you measured at ele- vated temperature. If there is a difference, do you think it is significant, and if so, in which direction has the reaction shifted at the higher temperature?
The difference between the K values at room temperature and elevated temperature is significant, with the K increasing at higher temperatures. This indicates that the reaction has shifted to the right at higher temperatures, making it more likely to occur due to increased kinetic energy.
At room temperature, the average K for a reaction is around 10-25. At elevated temperatures, the average K may be higher or lower depending on the reaction. For example, if the reaction is endothermic, the K will decrease at elevated temperatures, while if the reaction is exothermic, the K will increase at elevated temperatures.Using the K value for a reaction at room temperature and the K value for the same reaction at elevated temperature, we can calculate the difference. For example, let's say the K at room temperature is 10, and the K at elevated temperature is 30. The difference between the two values is 20 (30-10). This difference is significant because it is greater than 10, the average value for K at room temperature.This difference of 20 indicates that the reaction has shifted to the right at higher temperatures. This means that the reaction is more likely to occur at higher temperatures as the K has increased. This is due to the increased kinetic energy of the molecules at higher temperatures, which allows them to react more efficiently.
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Find the distance between the two points S(–5, –2) and T(–3, 4).
Answer:
10 units
Step-by-step explanation:
this is right answer
The sum of two numbers is 113. Four times the smaller number equals three times the greater number.
Answer:
the larger number is 452/7 and the smaller number is 1356/28
answer for a lot of points
Answer:
7. uses like or as to compare two things
8. personification - in this case, the tropical storm is being given the human quality of sleeping
Hope this helps!
If a tank holds 4500 gallons of water, which drains from the bottom of the tank in 50 minutes, then Toricell's Law gives the volume of water remaining in the tank after minutes as V=4500 1- osts 50. F
The given problem describes the draining of a tank that initially holds 4500 gallons of water. According to Torricelli's Law, the volume of water remaining in the tank after t minutes can be represented by the equation V = 4500(1 - t/50).
In this equation, t represents the time elapsed in minutes, and V represents the volume of water remaining in the tank. As time progresses, the value of t increases, and the term t/50 represents the fraction of time that has passed relative to the 50-minute draining period. Subtracting this fraction from 1 gives the fraction of water remaining in the tank. By multiplying this fraction by the initial volume of the tank (4500 gallons), we can determine the volume of water remaining at any given time.
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Peter bought 3 shirts for £54.50 each. He
received £36.50 change from the shop assistant.
How much money did he give to the shop
assistant?
Help pls
Answer:
200 pounds
Step-by-step explanation:
Peter's bill = 3 * 54.50 = 163.50
He received changes = 36.50
Money which he gave to shop assistant: 163.50 + 36.50 = 200
Graph the system of equations. y = 2x y = –x + 6 Two lines on a coordinate plane that intersect at the point 2 comma 4. One line has y intercept 0 and the other has y intercept 6. Two lines on a coordinate plane that intersect at the point negative 2 comma negative 4. One line has y intercept 0 and the other has y intercept negative 6. Two lines on a coordinate plane that intersect at the point 1 comma 2. One line has y intercept 0 and the other has y intercept 3. Two lines on a coordinate plane that intersect at the point 3 comma 3. One line has y intercept 0 and the other has y intercept 6.
The solution to the systems of equations graphically is (2, 4)
Solving the systems of equations graphicallyFrom the question, we have the following parameters that can be used in our computation:
y = 2x
y = -x + 6
Next, we plot the graph of the system of the equations
See attachment for the graph
From the graph, we have solution to the system to be the point of intersection of the lines
This points are located at (2, 4)
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A ball is thrown from an initial height of 2 feet with an initial upward velocity of 35ft/s. The ball's height h (in feet) after t seconds is given by the following.
The values for time is 1.361 and 0.828.
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x, ax²+bx+c=0. with a ≠ 0 .
Given: h=-16t²+35t+2
so if the height is going to be 20ft,
20 = 2+35t-16t²
16t²-35t18=0
Solve the above quadratic equation
x= -b±√b²-4ac/2a
a=16, b=-5, c=18
x=[-(-35)±√(-35)²-4*16*18]/2*16
x= [35±√73]/32
x= 35+√73/32 and x= 35-√73/32
x=1.361 and 0.828.
Hence, the values for time is 1.361 and 0.828.
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mr.ortega sandwich shop sells and 6 inch sandwich for 3.30 and a 12 inch sandwich for 7.20 he wants to find out which sandwich is the better deal
Answer:
the 6 inch is a better deal because it is 55 cents per inch while the 12 inch is 60 cents per inch
The difference of x and 4 (Algebraic expression)
Answer:
x - 4
Step-by-step explanation:
The difference means subtraction
The algebraic expression of the phrase is x-4.
What is an expression?One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.
Given phrase:
The difference of x and 4.
Here, we have the phrase difference.
So, we will use the subtraction operation.
So, the algebraic expression,
x - 4.
Therefore, x -4 is the algebraic expression.
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What's the numerator for the following
rational expression?
3 5 ?
+
k
74
k
k
Enter the correct answer.
The numerator for the given rational expression is 3 + 5k.
In the given rational expression, (3 + 5k) represents the numerator. The numerator is the part of the fraction that is located above the division line or the horizontal bar.
In this case, the expression 3 + 5k is the numerator because it is the sum of 3 and 5k. The term 3 is a constant, and 5k represents the product of 5 and k, which is a variable.
The numerator consists of the terms 3 and 5k, which are combined using addition (+). Therefore, the numerator can be written as 3 + 5k.
To clarify, the numerator is the value that contributes to the overall value of the fraction. In this case, it is the sum of 3 and 5k.
Hence, the correct answer for the numerator of the given rational expression (3 + 5k) / (74/k^2) is 3 + 5k.
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The table below shows the ratios of black to white keys on pianos of various sizes.
Black A 18 45 72
White 13 B 65 C
Determine which table has the correct values for A, B, and C.
Black 8 18 45 72
White 13 25 65 105
Black 9 18 45 72
White 13 26 65 104
Black 9 18 45 72
White 13 39 65 117
Black 1 18 45 72
White 13 26 65 104
Using the given ratios found the values of A, B and C, and completed the table as follows:
Black 9 18 45 72
White 13 26 65 104
What is meant by the ratio?
A ratio in mathematics demonstrates how many times one number is present in another. A ratio is what a fraction looks like when it is written as a:b. A ratio is the comparative or condensed version of two quantities of the same type.
Given the table:
Black A 18 45 72
White 13 B 65 C
The table represents the ratios of black keys to white keys on pianos of various sizes.
The ratio of keys of the piano always remains constant.
So we can write as follows:
A/13 = 18/B = 45/65 = 72/C
To find A, we take the following ratios.
A/13 = 45/65
On solving, we get
A = 45 * 13 / 65 = 585/65 = 9
To find B, we take the following ratios.
18/B = 45/65
B = 18 * 65 / 45 = 1170/45 = 26
To find C, we take the following ratios.
72/C = 45/65
C = 72 * 65 / 45 = 104
Therefore using the given ratios we can complete the table using the values of A, B and C,
Black 9 18 45 72
White 13 26 65 104
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wich mathematical expression represent this statement?the sqaure of a number times 31. 7n2. 3n^2 3.2n + 84. n^3/ 2
Let the number be represented by "n"
What is the equation of the line on the graph? Write your answer in slope-intercept form. (y = mx + b)
Don't forget to simply if you can!
Answer:
y= ⅔x -2
Step-by-step explanation:
slope-intercept form
y= mx +b, where m is the slope and b is the y-intercept.
Two given coordinates: (-3, -4) and (6, 2)
\(\boxed{slope = \frac{y1 - y2}{x1 - x2} }\)
Slope
\( = \frac{2 - ( - 4)}{6 - ( - 3)} \)
\( = \frac{2 + 4}{6 + 3} \)
\( = \frac{6}{9} \)
\( = \frac{2}{3} \)
Substitute m= ⅔ into the equation:
y= ⅔x +b
From the graph, the y- intercept is -2 since the line cuts through the x-axis at (0, -2).
Alternatively, we can also substitute a pair of coordinates into the equation to find the value of b.
When x= 6, y= 2,
\(2 = \frac{2}{3} (6) + b\)
2= 4 +b
b= 2 -4
b= -2
Thus the equation of the line is y= ⅔x -2.
can someone please give me an answer for this
Answer:
it needed your to focus on school work , homework and work hard to make yourself feel ready
Sony's utility function is U(q
1
,q
2
)=q
1
+Aq
1
a
q
2
b
+q
2
. The letters A,a,b are all positive constants. a) Find the marginal utility functions U
1
,U
2
of the two goods. b) Find the MRS. (Dorrit worry about reducing the math expression, it's not simplifiable in this example.)
The marginal utility functions for the given utility function are \(U_{1} = 1 + Aaq_{1} ^{(a-1)}q_{2}^{b}\) and \(U_{2} = Abq_{1} ^{a} q_{2}^{(b-1)}+ 1\). The MRS is equal to the ratio of the marginal utilities, or MRS = U₁/U₂ = \(1 + Aaq_{1} ^{(a-1)}q_{2}^{b}\)/ \((Abq_{1}^aq_{2}^{(b-1)} + 1)\).
a) The marginal utility functions can be obtained by taking the partial derivatives of the utility function with respect to each good. For the given utility function U(q₁, q₂) = \(q_{1} + Aq_{1}^{(a)}q_{2}^{(b)} + q_{2}\) the marginal utility of good 1 (U₁) is equal to\(1 + Aaq_{1}^{(a-1)}q_{2}^{(b)}\), and the marginal utility of good 2 (U₂) is equal to \(Abq_{1}^{(a)}q_{2}^{(b-1)} + 1\).
b) The marginal rate of substitution (MRS) represents the rate at which a consumer is willing to exchange one good for another while maintaining the same level of utility. It is defined as the ratio of the marginal utilities of the two goods. In this case, the MRS can be calculated as MRS = U₁/U₂, which gives \(\frac{(1 + Aaq_{1}^{(a-1)}q_{2}^{(b)})}{(Abq_{1}^{(a)}q_{2}^{(b-1)} + 1)}\).
The explanation above summarizes the process of obtaining the marginal utility functions and the MRS for the given utility function. The utility function is differentiated with respect to each good to find the marginal utilities. The MRS is then calculated as the ratio of the marginal utilities. The specific expressions for the marginal utilities and the MRS are provided based on the given utility function.
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Aisha travels 35 miles to get to work. How many miles does she travel to work and back in a 5 day week?
Answer:
350 miles per week
Step-by-step explanation:
That'd be 70 miles each day for 5 days, or 350 miles per week.
Which sentence does NOT contain an error in pronoun-antecedent agreement?
a. A large herd of buffalo thundered across the plain and left a cloud of dust in their wake.
b. When the crowd reached the center of town, the mayor was surprised by their size.
c.Our gymnastics team proved their skills during the individual floor exercises.
Answer:
a
Step-by-step explanation:
what is liters to pounds?
Answer:1 l = 2.2 lb wt.
Step-by-step explanation:
Steve is going to prom with a group of friends. steve's group of friends decide to rent a limo. a local company is willing to rent a limo for $130 an hour. the limo can hold up to six people. steve and his five friends decide to split the cost of the limo evenly. if they rent the limo for four hours, how much will steve and his friends expect to pay? (round up to the nearest dollar amount)
$ 86.67 , Steve and his five friends has to pay $86.67 each to rent limo for four hours.
According to the question,
rent of limo for five hours = $130
now by multiplication ,
rent of limo for four hours = $130 * 4
= $520
now we know that there are six people including Steve hence we divide this $520 by 6 to get the share of each individual,
by division ,
hence the amount for each = $520 / 6
= 86.666666
amount round up to the nearest dollar is $86.67
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Calla bought 8 writing utensils for a total of $30. Pens cost $4 each and pencils cost $3 each. How many pens did she buy?
15-12 + 4(3) =
15-12-12
15-1
14
Answer:
15
Step-by-step explanation:
15-12+4(3)
15-12+12
3+12
15
can someone pls help
The required area of the parallelogram and pentagon is 91 unit² and 75 unit².
What is surface area?The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.
A parallelogram in is shown in figure 1 with the dimensions height = 7 and base = 13,
Area of the parallelogram = 13 × 7 = 91 unit²
Now,
A pentagon is shown in figure 2,
Area of the pentagon = 5 [1/2 × height × side]
= 5 [1/2 × 5 × 6]
= 75 suqare units.
Thus, the required area of the parallelogram and pentagon is 91 unit² and 75 unit².
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Identify the range of the function shown in the graph
Answer:
a
Step-by-step explanation:
What is the set of all elements in the universal set that are not in the set a called?
Complement of set A is the set of all elements in the universal set that are not in the set .
If there is a subset of the universal set (U) called A, then the complement of set A, denoted by the symbol A', is different from the elements of set A and contains the elements of the universal set but not the elements of set A.
In this case, A' = x U: x A.
In other words, the complement of a set A is the difference between the universal set and set A.
For example: U = {1, 2, 3, 5, 7, 9, 15 ,14, 13}, A = {1, 2, 3, 5,7,9}, find the complement of A.
A' = U - A = {1, 2, 3, 5, 7, 9, 15,14,13} - {1, 2, 3, 5,7,9} = {15,14, 13}
A set that contains items from all related sets, without any repetition of elements, is known as a universal set (often symbolised by the letter U). If A and B are two sets, for example, A = 1, 2, 3 and B = 1, a, b, c, then U = 1, 2, 3, a, b, c is the universal set that these two sets belong to.
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2. Find three consecutive even integers such that the sum of the product of the first two and
the product of the last two is 648
Answer:
16,18 and 20Step-by-step explanation:
Let n= The third number (n-2)= second number (n-4)= first numberTherefore,
The sum of the product of the first two and that of the product of the last two will be in the form;n(n-2)+(n-2)(n-4)=648n²-2n+n²-2n-4n+8=6482n²-8n+8=6482n²-8n-648+8=02n²-8n-640=0Dividing through by 2n²-4n-320=0 n²-20n+16n-320=0(n-20)(n+16)=0n=20 , n=-16NOTE: n can't be equal to a negative number
hence n=20
third number n=20second number (20-2)18first number (n-4)(20-4)=16when we take the observed values of x to estimate corresponding y values, the process is called _____.
The process of taking the observed values of x to estimate corresponding y values is called interpolation.
In interpolation, we use the known values of x to estimate or approximate the values of y that correspond to those x values. This is done by assuming that there is a functional relationship between x and y and using mathematical techniques to fill in the gaps between the observed data points.
Interpolation is commonly used in various fields such as statistics, mathematics, computer science, and engineering. It allows us to make predictions or obtain estimates for y values at specific x values within the range of the observed data.
There are different methods of interpolation, including linear interpolation, polynomial interpolation, and spline interpolation. These methods vary in complexity and accuracy depending on the nature of the data and the desired level of precision. The choice of interpolation method depends on the specific requirements of the problem at hand.
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triangle ABC has A(1,2), B(3,1), and C(2,4). it is reflected across the x-axis and then across the y-axis. which point is in the resulting image