Answer:
each apple is £ 1.80
Step-by-step explanation:
i first multiplied the cost for one pear by 7, to get how much money was spent on pears out of the 12.70.
Then i took the remaining money and divided it by 2 to get how much each apple costs.
Answer:
1.80
Step-by-step explanation:
1) Price of Pears
\(1.30 * 7 = 9.10\) formating: 1.30*7 = 9.10
2) Price of Apples
\(12.70 - 9.10 = 3.60\) formating: 12.70-9.10 = 3.60
3) Price of Apples/Kg
\(\frac{3.60}{2} = 1.80\) formating: 3.60/2 = 1.80
Mr. Nice's backyard has an area of 225 square feet. What is the length of one side of his backyard?
A.13 feet
B.14 feet
C.15 feet
D.16 feet
C. 15 feet
Step-by-step explanation:Area formula
A = l²
225 = l²
l = √225
l = √15²
l = 15 feet
This is the first step in which construction?
Inscribed Octagon
Inscribed Square
Inscribed Triangle
Inscribed Hexagon
The picture shown, shows the first step in the construction of B. Inscribed Square.
How is this the first step?The steps to construct an inscribed square from a circle are:
Draw a diameter of the circle. This will act as the first side of the square.Draw a line perpendicular to the diameter at one of its ends. Make sure it's the same length as the diameter. This forms the second side of the square.At the other end of this line, draw another line parallel to the first diameter (or equivalently, perpendicular to the second side). This forms the third side of the square.Finally, draw the fourth side of the square by connecting the open ends of the first and third sides.So this picture shows the first step of that process.
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The first step that is being represented here is done during construction of inscribed square. That is option B
subtract the mean from each score and square each difference. what is the sum of the squared differences? difference in weight
To find the sum of the squared differences, you first need to calculate the mean of the data set. Then, you need to subtract the mean from each score to get the difference. Finally, you need to square each difference and add them all together to get the sum of the squared differences.
Here are the steps to find the sum of the squared differences:
1. Calculate the mean of the data set by adding up all the scores and dividing by the number of scores.
2. Subtract the mean from each score to get the difference.
3. Square each difference.
4. Add up all the squared differences to get the sum of the squared differences.
For example, if the data set is {1, 2, 3, 4, 5}, the mean is (1+2+3+4+5)/5 = 3. The differences are (-2, -1, 0, 1, 2), and the squared differences are (4, 1, 0, 1, 4). The sum of the squared differences is 4+1+0+1+4 = 10.
So, the sum of the squared differences for this data set is 10.
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a student has 4.9 x 1022 molecules of a (probably fictional) carbohydrate with the following formula: c9h11o6. how many grams of c are in this sample? enter your answer to the nearest tenth, without units, and ignoring sig figs.
There are approximately 0.976 grams of carbon (C) in the given sample of the carbohydrate (C9H11O6).
To find the number of grams of carbon (C) in the sample, we need to first determine the molar mass of the carbohydrate.
The molar mass of C is approximately 12.01 g/mol. The molar mass of H is approximately 1.01 g/mol, and the molar mass of O is approximately 16.00 g/mol.
The molar mass of the carbohydrate (C9H11O6) can be calculated as follows:
(9 * 12.01 g/mol) + (11 * 1.01 g/mol) + (6 * 16.00 g/mol) = 162.18 g/mol
Next, we can use the Avogadro's number (6.022 x 10^23) to determine the number of moles in the sample:
4.9 x 10^22 molecules / 6.022 x 10^23 molecules/mol = 0.0813 mol
Finally, we can calculate the mass of carbon in the sample by multiplying the number of moles by the molar mass of carbon:
0.0813 mol * 12.01 g/mol ≈ 0.976 g
So, there are approximately 0.976 grams of carbon in this sample.
There are approximately 0.976 grams of carbon (C) in the given sample of the carbohydrate (C9H11O6).
To find the mass of carbon in the sample, we first need to determine the molar mass of the carbohydrate. The molar mass of an element or compound is the mass of one mole of that substance. In this case, we have the formula C9H11O6, which indicates that the carbohydrate consists of 9 carbon atoms (C), 11 hydrogen atoms (H), and 6 oxygen atoms (O).
The molar mass of carbon is approximately 12.01 g/mol, hydrogen is approximately 1.01 g/mol, and oxygen is approximately 16.00 g/mol. To calculate the molar mass of the carbohydrate, we multiply the number of atoms of each element by their respective molar masses and sum them up.
Therefore, the molar mass of C9H11O6 is
(9 * 12.01 g/mol) + (11 * 1.01 g/mol) + (6 * 16.00 g/mol) = 162.18 g/mol.
Next, we can use the Avogadro's number (6.022 x 10²³) to determine the number of moles in the given sample. The given sample contains 4.9 x 10²²molecules of the carbohydrate. Dividing this by Avogadro's number gives us the number of moles:
4.9 x 10 molecules / 6.022 x 10^23 molecules/mol = 0.0813 mol.
Finally, we can calculate the mass of carbon in the sample by multiplying the number of moles by the molar mass of carbon: 0.0813 mol * 12.01 g/mol ≈ 0.976 g. Therefore, there are approximately 0.976 grams of carbon in the given sample.
In conclusion, the sample of the carbohydrate (C9H11O6) contains approximately 0.976 grams of carbon (C).
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List the values in ascending order.
43%.
2 3
is
Answer:
1. 2/3 = 66.66%2. 43%Thank you ☺️
Yvonne's car with an 11-gallon gas tank gets an average of 32 miles per gallon. She travels 12 hours at an average speed of 64 miles per hour. Gas costs $3.25 per gallon. How much does the gasoline cost for this trip?
Answer:
$78
Step-by-step explanation:
Here we have to find total distance first then find amount of gasoline used based on distance traveled by car in one gallon.
_____________________________________________
Given
time = 12 hours
speed = 64 miles per hour
we know distance = speed * time
distance = 12*64 = 768 miles.
Thus, car ran 768 miles.
given that car gets an average of 32 miles per gallon.
It means in one gallon gasoline car travels 32 miles.
let the gallons used be x
in 1 gallon gasoline car travels 32 miles.
in 1*x gallon gasoline car travels 32*x miles = 32x
Thus, 32x should be equal to 768 miles as car traveled that much only
32x = 768 miles
x = 768/32 = 24
Thus, gallons of gasoline used is 24.
Cost of 1 gallon gasoline = $3.25
since, gallons found is 24, we multiply lHS and RHS by 24
Cost of 1 *24= 24 gallon gasoline = $3.25*24 = $78
Thus,
cost of 24 gallon is $78 which will be the gasoline cost for the trip.
An algorithm is a calculation that determines how long it will take to solve a problem. True or False?
The given statement "An algorithm is a calculation that determines how long it will take to solve a problem." is False.
An algorithm is not just a calculation that determines how long it will take to solve a problem. An algorithm is a step-by-step set of instructions or a process used to solve a problem or perform a specific task. It is a systematic approach that allows a computer or human to break down a problem into smaller, manageable parts and reach a solution effectively.
Algorithms are the foundation of computer programming and can be applied in various fields such as mathematics, data processing, and problem-solving. They can be simple, like finding the largest number in a list, or complex, like solving a Rubik's Cube.
Efficiency is a key factor in evaluating algorithms. The time and resources required for an algorithm to solve a problem can vary greatly depending on the method used. However, the primary purpose of an algorithm is to provide a clear and concise procedure to reach a solution, rather than just estimating the time needed to solve a problem.
In summary, an algorithm is a well-defined process designed to perform a specific task or solve a problem, rather than just calculating the time required to do so. Its effectiveness depends on its efficiency, accuracy, and the simplicity of the steps involved.
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3. Which situation is best described by the graph shown?
HELLPPP PLEAAAASEEE
A. Allison purchases lemons for $0.75 each.
B. Sophia buys 12-packs of soda for $1.75 each.
C. Jacob buys packs of gum for $1.50 each.
D. Garrett buys limes for $0.80 each.
According to the Federal Highway Administration 2003 highway statistics, the distribution of ages for licensed drivers has a mean of 44.5 years and a standard deviation of 17.1 years. Assuming the distribution of ages is normally distributed what percentage of the drivers are between the ages 17 and 56?
Assuming the distribution of ages is normally distributed, the percentage of the drivers that are between the ages 17 and 56 is 69.49%.
According to the Federal Highway Administration 2003 highway statistics, the distribution of ages for licensed drivers has a mean of 44.5 years and a standard deviation of 17.1 years.
To find the percentage of drivers between the ages of 17 and 56, we'll use the normal distribution properties.
Here are the steps:
1. Calculate the z-scores for both ages:
z₁ = (17 - 44.5) / 17.1 = -1.61
z₂ = (56 - 44.5) / 17.1 = 0.67
2. Use a standard normal distribution table (z-table) to find the area under the curve between z₁ and z₂:
P(z₁) = 0.0537
P(z₂) = 0.7486
3. Subtract the probabilities to find the percentage of drivers between 17 and 56 years old:
P(17 ≤ age ≤ 56) = P(z₂) - P(z₁)
= 0.7486 - 0.0537 = 0.6949
So, approximately 69.49% of the drivers are between the ages of 17 and 56.
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LetXbe a random variable that has a population mean ofμand a variance ofσ2; that isE(X)=μ;Var(X)=σ2. Answer the following using the definitions and properties of expected value and variance that were discussed in Lecture 4. (a) Starting with the expressionVar(X)=E[(X−μ)2], show that the variance can also be written asVar(X)=E(X2)−μ2. (b) Write an expression for a random variableZthat is constructed by standardizingX:Z=(c) Show thatE(Z)=0(d) Show thatVar(Z)=1(e) Show that the sample meanXˉof a random sample of sizendrawn from the population is an unbiased estimator for the population meanμ. Start by writing down the condition for unbiasedness.
(a) Starting with the expression Var(X)=E[(X−μ)2], we can rearrange to get E[(X−μ)2] = Var(X)+μ2. Therefore, Var(X)=E(X2)−μ2.
(b) A random variable Z that is constructed by standardizing X is written as Z = (X-μ)/σ.
(c) E(Z) = E[(X-μ)/σ] = (E[X] - μ)/σ = 0.
(d) Var(Z) = Var[(X-μ)/σ] = (Var[X] - μ2)/σ2 = 1.
(e) The sample mean of a random sample of size n drawn from the population is an unbiased estimator for the population mean μ if E[sample mean] = μ.
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Suppose "n" can't equal 0 or 1. Show that substitution v=y^(1-n) transforms the Bernoulli equation dy/dx + P(x)y=Q(x)y^(n)into the linear equation dv/dx + (1-n)P(x)v(x)=(1-n)Q(x).
Answer:v = y(1-n)dv/dx = (1-n)y-n dy/dxso dy
Step-by-step explanation:
in a chi-square analysis, the larger the difference between expected and observed frequencies, the more likely you are to
A larger difference between expected and observed frequencies indicates that there is a greater difference between the data and the model, leading to a higher likelihood of rejecting the null hypothesis.
In a chi-square analysis, the larger the difference between expected and observed frequencies, the more likely you are to reject the null hypothesis. The null hypothesis in a chi-square analysis states that there is no significant difference between the observed frequencies and the expected frequencies.
The chi-square test is a statistical method used to determine whether there is a significant difference between the observed frequencies and the expected frequencies. The expected frequencies are calculated based on a model or hypothesis about the data. The observed frequencies are the actual values obtained from the data.
If the observed frequencies are significantly different from the expected frequencies, then it suggests that the model or hypothesis is not accurate, and the null hypothesis is rejected. This means that there is a significant difference between the observed frequencies and the expected frequencies, and the data is not just due to chance.
The level of significance for rejecting the null hypothesis is usually set at 0.05 or 0.01, depending on the study's requirements. A larger difference between the observed and expected frequencies increases the chi-square value and makes it more likely to reject the null hypothesis.
In summary, a larger difference between expected and observed frequencies indicates that there is a greater difference between the data and the model, leading to a higher likelihood of rejecting the null hypothesis.
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what is the value of 2/4
Answer:
0.5
Step-by-step explanation:
hope this helps
The table shows the relationship between the number of white shells and the number of pink beads that Aliz uses to decorate 6 different
jewelry box. Which of the following equations relates the number of pink beads, p, to the number of white shells, w? �� p = 25w �� w = 52p �� 5w = 2p �� p = 52w
Answer:
p = 5/2w
Step-by-step explanation:
We want the ratio of pink beads to white shells
p: w
5: 2
Cross multiply
2p = 5w
Divide by 2
p = 5/2w
A car salesman is stringing banners from the top of the roof to a fence pole 20 feet away. The top of the roof is 29 feet from the ground. The fence pole is 8 feet high. How many feet of banner rope does he need to reach from the rooftop to the fence pole? Show your work. 29 ft 8 ft 20 ft Answer.
The answer is 29 feet of banner rope needed to reach from the rooftop to the fence pole. The car salesman needs a rope that is at least 41 feet long.
We need to find the length of the rope that goes from the rooftop to the ground. We can use the Pythagorean theorem for that. The Pythagorean theorem states that in a right triangle (like the one formed by the rooftop, the ground, and the banner rope), the sum of the squares of the two shorter sides is equal to the square of the longest side (the hypotenuse).
The two shorter sides are the distance from the rooftop to the ground (29 feet) and the distance from the fence pole to the base of the rooftop (20 feet). The longest side is the length of the banner rope we're trying to find. Let's call it x. Using the Pythagorean theorem, we get: 29^2 + 20^2 = x^2
Simplifying:
841 + 400 = x^2
1241 = x^2
Taking the square root of both sides: x = √1241
x ≈ 35.22
So the banner rope from the rooftop to the ground needs to be at least 35.22 feet long.
Next, we need to add the distance from the ground to the top of the fence pole, which is 8 feet. So the total length of the banner rope needed is: 35.22 + 8 = 43.22
Rounding up, we get that the car salesman needs a banner rope that is at least 43 feet long.
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if someone could help me with this question pls help :) if you thank you!:)
Answer:
circumference of circle = 2π×r
here r = 7
so 2 ×22÷7 × 7
= 2×22
= 44
therefore the circumference is 44 inches
compute the laplace transform. your answer should be a function of the variable s: l{1 u5/2(t)e−6tcos(πt)}
To compute the Laplace transform of the given function, we can use the linearity property of the Laplace transform and apply the transform to each term separately.
Using the Laplace transform pairs:
L{1} = 1/s
L{u(t)} = 1/(s+1)
L{e^(-6t)} = 1/(s+6)
L{cos(πt)} = s/(s^2+π^2)
Applying these transforms to the given function:
L{1 u^(5/2)(t) e^(-6t) cos(πt)} = L{1} * L{u^(5/2)(t)} * L{e^(-6t)} * L{cos(πt)}
Substituting the transform pairs:
= (1/s) * (1/(s+1)^(5/2)) * (1/(s+6)) * (s/(s^2+π^2))
Simplifying this expression, we can multiply the terms together:
= s / (s(s+1)^(5/2)(s+6)(s^2+π^2))
Therefore, the Laplace transform of the given function is:
L{1 u^(5/2)(t) e^(-6t) cos(πt)} = s / (s(s+1)^(5/2)(s+6)(s^2+π^2))
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If you apple these changes to the linear parent function, f(x) = x, what is the equation of the new function?
Answer:
C) g(x) = 1/5x + 7-----------------------------------
Vertical compression of a function by a factor of a is:
f(x) → a f(x), where a is between 0 and 1Vertical compression of a function by a factor of 5 is:
g(x) = 1/5 f(x)Shifting up by b units is:
f(x) → f(x) + bIf we apply both transformations we get:
g(x) = 1/5x + 7Option C is correct.
a. A rectangular loop of length 40 cm an width 10 cm with a 25 ohm light bulb is pulled from a large magnetic field (3.5 T) very quickly (25 m/s). The light flashes as the circuit leaves the field. How long does the flash of light last in ms?
b. Which way does current flow as the loop exits the field? Why?
clock-wise
counter clock-wise
c. What is the power dissipated in the bulb during the flash in W?
a) the flash of light lasts for 40 ms. b) the current flows clockwise as the loop exits the field. c) the power dissipated in the bulb during the flash is 3.06 W.
Explanation:
a. The time duration of the flash of light can be calculated using the formula:
Δt = L/ v
where L is the perimeter of the loop and v is the velocity of the loop. The perimeter of the loop is:
L = 2(length + width) = 2(40 cm + 10 cm) = 100 cm = 1 m
Converting the velocity to m/s, we have:
v = 25 m/s
Therefore, the time duration of the flash is:
Δt = L/v = 1 m / 25 m/s = 0.04 s = 40 ms
So, the flash of light lasts for 40 ms.
b. The direction of the current flow can be determined using Lenz's law. According to Lenz's law, the direction of the induced current in a circuit is such that it opposes the change in magnetic flux that produced it.
As the loop is pulled out of the magnetic field, the flux through the loop decreases. To oppose this decrease, the induced current should produce a magnetic field in the opposite direction to that of the external field. By the right-hand rule, this means the current should flow in a clockwise direction when viewed from above the loop.
So, the current flows clockwise as the loop exits the field.
c. The power dissipated in the bulb can be calculated using the formula:
P = I^2R
where I is the current flowing through the loop and R is the resistance of the bulb. The resistance of the bulb is given as 25 ohms.
To find the current, we can use Faraday's law of electromagnetic induction, which states that the voltage induced in a circuit is equal to the rate of change of magnetic flux through the circuit. The rate of change of flux through the loop can be calculated using:
dΦ/dt = B(dA/dt)
where B is the magnetic field, A is the area of the loop, and dA/dt is the rate of change of area (which is equal to the velocity v of the loop as it exits the field).
The area of the loop is:
A = length x width = 40 cm x 10 cm = 400 cm^2 = 0.04 m^2
Converting the velocity to m/s, we have:
v = 25 m/s
So, the rate of change of area is:
dA/dt = -v x width = -25 m/s x 0.1 m = -2.5 m^2/s
Therefore, the rate of change of flux is:
dΦ/dt = B(dA/dt) = 3.5 T x (-2.5 m^2/s) = -8.75 Wb/s
The voltage induced in the circuit is equal to the rate of change of flux multiplied by the number of turns in the loop. Since there is only one turn in the loop, the induced voltage is:
V = -dΦ/dt = 8.75 V
The current flowing through the loop is:
I = V/R = 8.75 V / 25 ohms = 0.35 A
Finally, the power dissipated in the bulb is:
P = I^2R = (0.35 A)^2 x 25 ohms = 3.06 W
So, the power dissipated in the bulb during the flash is 3.06 W.
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Can you please help me and also explain
Answer:
We can begin by simplifying each equation:
A. 52 = 8n + 4 can be rewritten as 48 = 8n or 6 = n
B. 4(2n + 1) = 52 can be simplified to 8n + 4 = 52 or 8n = 48 or 6 = n
C. 4=52-8n can be rewritten as 8n = 48 or 6 = n
D. 4n = 48 can be simplified to n = 12
Therefore, equations A, B, and C are equivalent, and equation D is not equivalent to the others.
So, the correct answers are A, B, and C.
Answer:
Step-by-step explanation:first you have to multiply then divide then add then subtract and then substitute and then you will get the answer.
Need help fast!!! And with all the other problems
Based on the properties of rectangles, the angles and the side lengths are KN = 11 and NLK = 32
How to determine the angles and the side lengthFrom the question, we have the following parameters that can be used in our computation:
JN = 2x + 7, LN = 6x - 1
NKJ = 58 degrees
The diagonals or a rectangle are equal
So, we have
2x + 7 = 6x - 1
Evaluate the like terms
4x = 8
Divide
x = 2
So, we have
KN = 2 * 2 + 7
KN = 11
Adjacent angles in this case add up to 90 degrees
This gives
NLK = 90 - 58
Evaluate
NLK = 32
Hence, the measure of the angle is 32 degrees
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Last year, Allison paid a monthly cooperative maintenance fee of $873. 12% of this fee
covered her monthly property taxes. How much did she pay last year in property taxes on
her co-op?
I need help please.ASAP
Answer:
20
Step-by-step explanation:
I do not know how to explain it for you thanks
Quinn posted a comment on a social media site. The table shows the number of new "likes" Quinn's comment receives each minute after the comment is posted. Write an equation of a line in standard form to represent the data. Then use the equation to find the amount of time it will take until Quinn's comment receives no new "likes".
mintues; liked:
1 8
2 6
3 4
A. x + 2y = 10; 5 minutes
B. 2x + y = 10; 5 minutes
C. x + 2y = 10; 6 minutes
D. 2x + y = 10; 6 minutes
Answer: B. 2x + y = 10; 5 minutes
what is the slope of the lines that passes through the point (-6,1) and (3,7)?
When Ford had to pull their national campaign, this was particularly disheartening as their media planners and buyers had spent a great deal of time considering the myriad of advertising outlets available to them and determining which outlets would be best to place their buys in. This best describes which media challenge faced by media planners and buyers today? O increasing audience fragmentation O increasing media options O increasing behavioral targeting O increasing costs O increasing competition
The media challenge faced in the scenario is increasing audience fragmentation.
What do you mean by the term Selling price?The cost price is abbreviated as C.P. The price at which an article is sold is known as its selling price. The selling price is abbreviated as S.P.It is a price above the cost price and includes a percentage of profit also.
The media challenge described in the scenario is increasing audience fragmentation. Audience fragmentation occurs when there are numerous media options available, and consumers have different preferences and behaviors regarding media consumption. This makes it challenging for media planners and buyers to identify the most effective media outlets to reach their target audience. In the case of Ford, their media planners and buyers had put a lot of effort into selecting the best media outlets, but still had to pull their campaign due to the challenges posed by audience fragmentation. Therefore, the media challenge faced in the scenario is increasing audience fragmentation.
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You have bag filled with 6 red marbles, 4 blue marbles, and 8 yellow marbles. What is the probability of pulling out a red marble?
Step-by-step explanation:
Simple
Total no of marbles = 6 + 4 + 8 = 18
Probability of red marble = 6 / 18 = 1/ 3
Comparing Ratios
Which ratios are less than 8 to 10? Check all that apply.
16
20
3:5
50
100
13.15
Answer:
3/5 and 50/100
Step-by-step explanation:
changing the ratios into fractions are an easy way to check,
8/10 = 0.8
16/20 = 0.8
3/5 = 0.6
50/100 = 0.5
13/15 = ~0.8666
Line N passes through the points (-1, 4) and (-1, -4).
5
4
3-
2
1
-5 -4 -3 -2 -14
1
2 3 4 5
x
X
اسة.
5
3
ܛܝܝܝ
5
Which is true of line N?
Answer:
i don't know btw is this eighth grade
Find the rate of change
Answer:
the rate of change is 16. 2÷32 = 16
4÷32 is 16 etc
Answer:
1X = 16Y every time the X value goes up by one it increase by 16.
Step-by-step explanation:
If you do 32/2 you will get the answer 16 and if you do 4/64 it also says 16.
The difference between (2,32) and (4,64) 64-32 is 32 4-2 is 2 and you also get 32,2 from that equation.