Answer:
B
Step-by-step explanation:
y+5-xy-y+x²-x-4x²
- combine x² and -4x²
3x²+y+5-xy-y-x
- both postive and negative y cancel out each other
3x²+5-xy-x also as -3x²-xy-x+5 which is B
Suppose Samhara completes 20 homework problems in 1 hour. How many homework problems can she complete in 4 days
Answer: 1920
Step-by-step explanation: She/He( I don’t know ) can do 1920 homework problems in 4 days
Answer:
if in one hour 20 questions then in 4 days which will be 96 hours it will 1920 questions by multiplying 96 with 20
multiple choice in a single football game, a team scored 14 points from touchdowns and made x field goals, which are worth three points each. the team scored 23 points. how many field goals did the team make? a. 2 b. 3 c. 4 d. 5
The number of field goals the team made in the game is equal to b. 3
The number of field goals the team made can be determined using an algebraic expression. An algebraic expression can be defined as an expression or equation that consists of both letters and numbers in it.
If the team scored 14 points from touchdowns and made x goals which are worth three points each, then an algebraic expression can be given as;
3(x) + 14 = 23
Solving for x;
3x = 23 - 14
3x = 9
x = 9 ÷ 3
x = 3
Hence, the team made a total of 3 field goals that are worth three points each.
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determine whether the property is true for all integers, true for no integers, or true for some integers and false for other integers. justify your answers. the average of any two odd integers is odd.
The property of the average of any two odd integers being odd is true for all integers.
This is because the sum of any two odd integers is always an even integer. For example, if we take any two odd integers, say 3 and 7, then the sum of these two is 10, an even integer. Therefore, the average of 3 and 7, which is (3 + 7)/2, is also an even integer, in this case, 5.
Since all even integers are divisible by 2, the average of any two odd integers must be an odd integer.
Therefore, the property is true for all integers.
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the monthly utility bills in a city are normally distributed, with a mean of $100 and a standard deviation of $15. Find the probability that a randomly selected utility bill is (a) less than $68, (b) between $81 and $90, and (c) more than $120.
The probability that a randomly selected utility bill is,
a) P(X < 68) ≈ 0.016 or 1.6%
b) P(81 < X < 90) ≈ 0.1476 or 14.76%
c) P(X > 120) ≈ 0.0912 or 9.12%
To find the probability in each case, we can use the standard normal distribution by converting the given values into z-scores.
a) To find the probability that a randomly selected utility bill is less than $68, we need to find P(X < 68). First, we calculate the z-score using the formula z = (x - μ) / σ, where x is the value, μ is the mean, and σ is the standard deviation.
z = (68 - 100) / 15 = -2.1333
Using a standard normal distribution table or a calculator, we can find the corresponding cumulative probability for z = -2.1333, which is approximately 0.016. Therefore, the probability P(X < 68) is approximately 0.016 or 1.6%.
b) To find the probability that a randomly selected utility bill is between $81 and $90, we need to find P(81 < X < 90). We calculate the z-scores for both values:
z1 = (81 - 100) / 15 = -1.2667
z2 = (90 - 100) / 15 = -0.6667
Using the standard normal distribution table or a calculator, we find the cumulative probability for z1 and z2: P(z1) ≈ 0.1038 and P(z2) ≈ 0.2514. Then, we subtract P(z1) from P(z2) to find the probability between the two values:
P(81 < X < 90) ≈ P(z1 < Z < z2) ≈ P(z2) - P(z1) ≈ 0.2514 - 0.1038 ≈ 0.1476 or 14.76%.
c) To find the probability that a randomly selected utility bill is more than $120, we need to find P(X > 120). We calculate the z-score:
z = (120 - 100) / 15 = 1.3333
Using the standard normal distribution table or a calculator, we find the cumulative probability for z = 1.3333, which is approximately 0.9088. Since we want the probability of X to be greater than 120, we subtract this value from 1:
P(X > 120) ≈ 1 - P(z) ≈ 1 - 0.9088 ≈ 0.0912 or 9.12%.
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Lisa puts $8,000 in an account that earns 12% simple annual interest. If she leaves her money in the account for 4 years, how much interest will she earn?
Answer:
392000
Step-by-step explanation:A=p(1+
solve this asap please
4. (a) Give 4 example values of the damping ratio \( \zeta \) for which the output of a control system exhibits fundamentally different characteristics. Illustrate your answer with sketches for a step
The damping ratio (\(\zeta\)) is a crucial parameter in characterizing the behavior of a control system. Different values of the damping ratio result in fundamentally different system responses.
Here are four example values of the damping ratio along with their corresponding characteristics:
1. \(\zeta = 0\) (Undamped):
In this case, the system has no damping, resulting in oscillatory behavior without any decay. The response overshoots and continues to oscillate indefinitely. The sketch for a step response would show a series of oscillations with constant amplitude.
2. \(0 < \zeta < 1\) (Underdamped):
For values of \(\zeta\) between 0 and 1, the system is considered underdamped. It exhibits oscillatory behavior with decaying amplitude. The response shows overshoot followed by a series of damped oscillations before settling down to the final value. The sketch for a step response would depict a series of decreasing oscillations.
3. \(\zeta = 1\) (Critically damped):
In the critically damped case, the system reaches its steady-state without any oscillations. The response quickly approaches the final value without overshoot. The sketch for a step response would show a fast rise to the final value without oscillations.
4. \(\zeta > 1\) (Overdamped):
When \(\zeta\) is greater than 1, the system is considered overdamped. It exhibits a slow response without any oscillations or overshoot. The response reaches the final value without any oscillatory behavior. The sketch for a step response would show a gradual rise to the final value without oscillations.
These sketches provide a visual representation of how the system responds to a step input for different values of the damping ratio. They highlight the distinct characteristics of each case and how the damping ratio affects the system's behavior. Understanding these differences is important in control system design and analysis, as it allows engineers to tailor the system response to meet specific requirements, such as minimizing overshoot or achieving fast settling time.
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I need help with math ASAP
Answer: angle 7 is equal
Step-by-step explanation: I help ;)
Two friends Ana and Juan are buying books by joining the History Book
Club.
Ana has to pay a yearly fee of $15 to join. She spends a total of $525 for 30
books. How much was the price per book on average?
Juan has to pay a yearly fee of $10 to join. He spends a total of $350 for 23
books. How much was the price per book on average?
Write a function for Ana and Juan each to model the scenario to figure out
the total cost per book. Who has the better deal? Ana or Juan? Why?
Answer:
Ana spent $17 per book on average.
Juan spent $14.78 per book on average.
y = $15 + 17x--------- equation 1
y= $10 + 14.78 x------------- equation 2
Step-by-step explanation:
Ana has to pay a yearly fee of $15 to join.
She spends a total of $525 for 30 books.
The amount spent on books = Total amount - yearly fee
= $525- $15= $510
Price per book on the average = $510/30= $ 17
Ana spent $17 per book on average.
Juan has to pay a yearly fee of $10 to join.
He spends a total of $350 for 23 books.
The amount spent on books = Total amount - yearly fee
= $350- $10= $340
Price per book on the average = $340/23= $ 14.78≅ $15
Juan spent $14.78 per book on average.
The function can be established if y gives the total cost and x gives the number of books
y = $15 + 17x--------- equation 1
y= $10 + 14.78 x------------- equation 2
Juan has a better deal because the yearly fee is less also the price per book is less.
The equation and table show the cost to rent a canoe at two different companies. Each company charges a flat fee for an initial cost, plus an hourly rate.
ummmmmmmmmmmmmmmmmmm
A truck's suspension springs each have a spring constant of 769 N/m. If the elastic potential energy of the front right spring is 250 Joules, how far was the spring compressed. (Elastic Potential Energy)
0.81 m
11 cm
8.1 m
0.41 m
i need it an 4 mins
Answer: 0.81
Step-by-step explanation: i looked it up
The spring was compressed by 0.81 meters.
Option A is the correct answer.
What is elastic potential energy?Elastic potential energy is a type of potential energy that is stored in an object when it is deformed, such as when a spring is stretched or compressed.
We have,
The elastic potential energy stored in the spring is.
E = (1/2) k x²
where E is the elastic potential energy, k is the spring constant, and x is the distance the spring is compressed (or stretched) from its equilibrium position.
Now,
Elastic potential energy E = 250 J
Spring constant k = 769 N/m for the front right spring.
We can solve for x as follows:
E = (1/2) k x²
250 J = (1/2) (769 N/m) x²
x² = (2 × 250 J) / (769 N/m)
x² = 0.651
x ≈ 0.81 m (rounded to two decimal places)
Therefore,
The spring was compressed by 0.81 meters.
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What is a disadvantage of electron microscopes compared to light microscopes?
They do not have a very high power of resolution.
They cannot be used to view live specimens.
They can only be used by doctors.
They can only see surface details.
A major disadvantage of electron microscopes compared to light microscopes is that they cannot be used to view live specimens. Therefore, option B is the correct answer.
A major disadvantage of electron microscopes compared to light microscopes is that they cannot be used to view live specimens. This is because the electron microscope requires a vacuum environment to function properly, which would kill any live specimen. Additionally, electron microscopes can only see surface details and do not have a very high power of resolution. Lastly, electron microscopes can only be used by doctors or trained technicians, so they are not as widely available as light microscopes.
Therefore, option B is the correct answer.
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A disadvantage of electron microscopes compared to light microscopes is that they cannot be used to view live specimens (option b). Electron microscopes use a beam of electrons to create an image, which requires a vacuum environment. This means that living organisms cannot survive in the vacuum and therefore cannot be observed with electron microscopes.
I hope this helped! :)
Help me please please please please please please
I think 100 grams per box
solve for x.
x²+x-6=0
Answer:
x= 2, -3
Step-by-step explanation:
Answer:
My friend the answer is -
X= 2 , -3
Step-by-step explanation:
X^2 + X -6 = 0
a = 1
b = 1
c = - 6
X = -1 + ^------------------
1^2 - 4 x 1 (-6)
2 x 1
X = -1 + 5
2
X = -1 + 5
2
X = -1 - 5
2
X = 2
x = - 3
calculating standard error is not important in statistics, we only need to look at the regular standard deviation of a single data set. group of answer choices true false
False. Calculating standard error is indeed important in statistics, as it serves a different purpose than the regular standard deviation of a single data set.
While standard deviation measures the variability or dispersion within a data set, standard error is used to measure the accuracy of a sample mean as an estimate of the true population mean.
1. Standard deviation measures the dispersion or spread of data points in a single data set. It helps you understand how much the individual data points deviate from the mean (average) of that data set.
2. Standard error, on the other hand, is a measure of how accurate a sample mean is in estimating the true population mean.
It is calculated by dividing the standard deviation of the sample by the square root of the sample size (n).
Standard Error (SE) = Standard Deviation (SD) / √n
3. As the sample size increases, the standard error decreases, indicating that the sample mean becomes a more accurate estimate of the population mean.
This is because larger sample sizes tend to have a smaller sampling error.
4. In hypothesis testing and confidence interval estimation, standard error plays a crucial role.
It helps to determine the margin of error and to assess the significance of differences between sample means.
5. While standard deviation is a useful measure for understanding variability within a single data set, standard error is essential for making inferences about the population based on the sample data.
In conclusion, both standard deviation and standard error are important in statistics as they serve different purposes. Ignoring standard error would lead to inaccurate conclusions about the population mean based on sample data.
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Study the coordinate plane below. A certain polygon has its vertices at the following points: (1, 1), (1, 8), (4, 7), and (4, 3) What is the best description of this polygon? A. rectangle B. pentagon C. trapezoid D. parallelogram
Answer:
pentegon
Step-by-step explanation:
The certain polygon has its vertices at the following points: (1, 1), (1, 8), (4, 7), and (4, 3) is a trapezoid option (C) is correct.
What is a regular polygon?A polygon is a geometric figure with a finite number of sides in two dimensions. On the sides or edges of a polygon, straight-line segments are joined end to end to form a closed shape. The vertices, also known as corners, are the points where two line segments meet and form an angle.
We have coordinates of a polygon, the coordinate plane:
points: (1, 1), (1, 8), (4, 7), and (4, 3)
After, connecting the points to each other.
We will see, after joining the points, the polygon will be a trapezoid.
Thus, the certain polygon has its vertices at the following points: (1, 1), (1, 8), (4, 7), and (4, 3) is a trapezoid option (C) is correct.
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(Will put as Brainliest) Please help! :")
A speciality candy shop makes chocolate covered cherry and graham cookie bites. The cherry is spherical with a diameter of 3cm and the graham cookie is a rectangular prism with a base measuring 5cm by 5cm and a thickness of 0.5cm. What is the total surface area of the bite if each piece is drenched in chocolate from top to bottom before being put together, to the nearest tenth of a square centimetre.
Answer:
88.27 cm^2
Step-by-step explanation:
Cherry=4(3.14)(1.5)^2
=28.27
Cookie=2·(5·5+0.5·5+0.5·5)
=60
60+28.27=88.27
A park charges $13 for one round of miniature golf and a reduced fee for each additional round played. If Tom paid $43 for 6 rounds of miniature golf, what is the reduced fee for each additional round played? The reduced fee for each additional round played is $____
Answer:
$6
Step-by-step explanation:
the fixed cost = $13
the variable cost is unknown. It depends on the rounds played. according to the question the additional rounds played is 5 (6 - 1) .Represent the variable cost with x
the next equation can be formed using variables from the question :
$43 = $13 + 5x
collect like terms
$43 - $13 = 5x
$30 = 5x
divide both sides of the equation by 5
x = $6
HELP IM STRUGGLING!!
Correct option is A, On solving the provided question, we can say that the value of this expression is \(\frac{1}{4x^{1/3} }\)
Describe expression.It is possible to multiply, divide, add, or subtract in mathematics. The following is how an expression is put together: Number, expression, and mathematical operator
The components of a mathematical expression include numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) It is possible to contrast expressions and phrases. An expression, often known as an algebraic expression, is any mathematical statement that contains variables, numbers, and an arithmetic operation between them.
For instance, the word m in the given equation is separated from the terms 4m and 5 by the arithmetic symbol +, as is the variable m in the expression 4m + 5.
The provided expression is \((64x^{\frac{2}{3} } )^{\frac{-1}{3} }\)
⇒ \((\frac{1}{64x} } )^{\frac{2}{9} }\)
⇒ \((\frac{1}{4^{3.}x^{12/9} } })^{1/3}\)
⇒ \(\frac{1}{4x^{1/3} }\)
the value of this expression is \(\frac{1}{4x^{1/3} }\)
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I really need help
Help please (40 points)
Provide the missing statements and reasons for the following proof.
Theorem opposite slides of parallelograms are congruent
Answer:
See answer below
Step-by-step explanation:
R3: If parallel lines, then alternate interior angles is congruent
S4: AC ≅ AC
R5: ASA
Maddie’s age is 5 years less than twice Katie’s age. Maddie is 15 years old. Find Katie’s age.
Answer
????????????????????
Answer: Katie would be 30 I think
in a statistics exam an individuals score is normally distributed with a mean of 80 and a sample standard deviation of 6 points. assume there are 30 individuals in the class. calculate the probability the class average is less than 79.
The probability the class average is less than 79 is 0.1587.
What is Normal Distribution ?
The standard normal distribution is a normal distribution with a mean of zero and standard deviation of 1.The standard normal distribution is centered at zero and the degree to which a given measurement deviates from the mean is given by the standard deviation.Given that,
Normally distributed with a mean μ = 80
sample standard deviation σ = 6
In a class, number of students n = 30 (This may be 36 in ques but we take 30 as mentioned in question )
Let, x = be the individual score
∑x = be the class average
It's given, class average is less than 79.
Now, the probability that the class average is less than 79.
P(∑x < 79) = P( (∑x - μ) / (σ/√n) < (79 - 80) / (6 /√30) )
= P( (∑x - μ) / (σ/√n) < (-1) / 1.09 )
= P( (∑x - μ) / (σ/√n) < -1 ) [Round off the Denominator it gives 1]
we know, Standard normal distribution Z = (∑x - μ) / (σ/√n)
so,
P(∑x < 79) = P( Z < -1 )
By Standard normal distribution table,
P( Z < -1 ) = 0.1587
Hence, the probability the class average is less than 79 is 0.1587.
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Select the most precise definition of a circle from the definition that are given
Answer:
Step-by-step explanation:
a round 2-deminsional figure
A shoe store is selling basketball shoes at a 15% discount. What is the sale price of a pair of shoes originally priced at $155.00?
Answer:
131.75 would be the answer
Answer:
131.75
Step-by-step explanation:
155-155*15%=131.75
I hope this helps!
Write the expression in exponential form, and then evaluate.
2.1 x 2.1 =
Answer:
exponential form = 2.1^2
evaluation = 4.41
Step-by-step explanation:
it is multiplying 2.1 two times, therefore its 2.1^2
hence,
2.1 times 2.1 = 4.41
A truck that can carry no more than 5900 lb is being used to transport refrigerators and upright pianos. Each refrigerator weighs 250 lb and each piano weighs 525 lb. Write and graph an inequality to show how many refrigerators and how many pianos the truck could carry. Will 10 refrigerators and 7 pianos overload the truck? Explain.
10 refrigerators and 7 pianos would overload the truck.
InequalityInequality is an expression used to show the relationship between numbers and variables.
Let x represent the number of refrigerator and y represent the number of piano. Hence:
250x + 525y ≤ 5900
For 10 refrigerators and 7 pianos:
250(10) + 525(7) = 6175 ≥ 5900
10 refrigerators and 7 pianos would overload the truck.
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How do I figure out what graph(s) is linear or exponential? can someone explain how to do this for me?
Answer:
Linear functions are graphed as straight lines while exponential functions are curved. Linear functions are typically in the form y = mx + b, which is used to discover the slope, or simply the change in y divided by the change in x, while exponential functions are typically in the form y = (1 + r) x.
Step-by-step explanation:
The area of a circle is decreasing at a constant rate of 205 square inches per minute. At the instant when the area of the circle is 25π square inches, what is the rate of change of the radius? Round your answer to three decimal places.
The rate of change of radius is 6.525 inches/minute
What is rate?rate is a ratio that compares two different quantities which have different units. For example, if we say John types 50 words in a minute, then his rate of typing is 50 words per minute. The word "per" gives a clue that we are dealing with a rate.
rate of change of area of circle ( dA/dt) = -205
Area of circle = \(\pi\)\(r^{2}\)
25\(\pi\) = \(\pi\)\(r^{2}\)
\(r^{2}\) = 25
r = \(\sqrt{25}\) which is 5 inches
also
if A = \(\pi\)\(r^{2}\)
then
dA = 2\(\pi\)rdr
which means
dA/dr = 2\(\pi\)r
taking reciprocal
dr/dA = 1/2\(\pi\)r
so rate of change of radius(dr/dt) = dA/dt x dr/dA
= -205 x 1/2\(\pi\)r, but r = 5 \(\pi\) = 3.142
= -205/ 2 x 3.142 x 5
= -205/31.42
= -6.525inches/minute
In conclusion the radius decrease at the rate of -6.525 inches per minute
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4.5 +(6y-3.5x)+7=
expression
Mr. Vazquez determines that the area of a bathroom in his house is 25 square feet less than 1/5 of the area of the living room. If the bathroom measures 35 square feet, what is the area of the living room? square feet=
Answer: 300 sq. ft
Step-by-step explanation:
1/5x - 25 = 35
1/5 x = 35+25
x = 60 * 5 = 300 sq. ft.
Answer:
300
Step-by-step explanation:
I did it on edge
The entrance fee to a local waterpark is $34 per person. At the waterpark, you can rent a raft for $1.50 per hour. Which expression is equivalent to the amount it would cost Leah for h hours in the park if she rented a raft?
Answer: 34+1.50h
Step-by-step explanation:
Algebraic Equation:
The entrance fee to the waterpark is the intial cost for Leah to get in the park. The amount of hours that Leah will spend at the park is a variable.
You need to add the intial cost and the variable amounts together.
34+h
You put the h in the equation because you don't know how long Leah will spend on the raft. You will be multiply by the rate per hour for a raft.
34+1.50h
Therefore the cost for Leah is 34+1.50.
34 + 1.50h
Therefore, Leah’s cost is 34 + 1.50h.