Answer:
17 is the value of x...
Step-by-step explanation:
9x + 7 = 10x-10 reason ( being alternate angle
or, x = 17
The formula P = I-E is used to calculate profit.
P = Profit
I= Income
E = Expenses
The school bake sale earned $72 in sales and had
$125 in expenses.
Find the profit.
b. What does a negative profit mean?
Hey there!
P = I - E
Income = $72Expenses= $125P = I - E {Add values}
P = 72 - 125
= -53
Negative profit means loss, which means there was no gain
Hopes this helps
Find the volume of a solid obtained by rotating the region enclosed by the graphs x=5−y and x=25−y^2 about the y-axis. (Use symbolic notation and fractions where needed.)
V=
The volume of the solid obtained by rotating the region enclosed by the graphs x = 5 - y and x = 25 - y^2 about the y-axis is:
V = 100π/3 cubic units.
To find the volume of the solid, we can use the method of cylindrical shells.
The formula for the volume of a solid obtained by rotating a curve y = f(x) about the y-axis from y = c to y = d is given by:
V = 2π ∫[c,d] x * f(x) dx.
In this case, we need to find the intersection points of the curves x = 5 - y and x = 25 - y^2.
Setting the two equations equal to each other, we have:
5 - y = 25 - y^2.
Rearranging the equation:
y^2 - y - 20 = 0.
Factoring the quadratic equation:
(y - 5)(y + 4) = 0.
So, the intersection points are y = 5 and y = -4.
We need to integrate the expression 2π * x * (5 - y) with respect to y from y = -4 to y = 5.
V = 2π ∫[-4,5] x * (5 - y) dy.
To express x in terms of y, we rearrange the equation x = 5 - y:
x = 5 - y.
Performing the integration:
V = 2π ∫[-4,5] (5 - y) * (5 - y) dy
= 2π ∫[-4,5] (25 - 10y + y^2) dy
= 2π * [25y - 5y^2/2 + y^3/3] |[-4,5]
= 2π * [(125 - 50 + 125/3) - (-100 + 100/2 - (-64/3))]
= 2π * [(275/3) - (64/3)]
= 2π * (211/3)
= 422π/3.
Simplifying the expression, we get:
V = 100π/3.
Therefore, the volume of the solid obtained by rotating the region enclosed by the graphs x = 5 - y and x = 25 - y^2 about the y-axis is V = 100π/3 cubic units.
The volume of the solid obtained by rotating the region enclosed by the graphs x = 5 - y and x = 25 - y^2 about the y-axis is
V = 100π/3 cubic units.
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Select the correct answer. A 20. 0-liter flask contains a mixture of argon at 0. 72 atmosphere and oxygen at 1. 65 atmospheres. What is the total pressure in the flask? A. 0. 93 atm B. 2. 37 atm C. 8. 44 atm D. 18. 6 atm.
Therefore, the total pressure in the flask is 2.37 atm.
The correct option is B. 2.37 atm. How to calculate the total pressure in the flask.
The total pressure in the flask is calculated as the sum of partial pressures of the gases. We can use the formula: P Total = P1 + P2 + P3 + ...where P1, P2, P3 are partial pressures of gases. For this problem,
we can use the formula: P Total = PO2 + PArWhere:PO2 = partial pressure of oxygen P Ar = partial pressure of argon Given: PO2 = 1.65 atm, P Ar = 0.72 atm the total pressure in the flask is: P Total = PO2 + P Ar P Total = 1.65 atm + 0.72 atm P
Total = 2.37 atm Therefore, the total pressure in the flask is 2.37 atm.
Answer: B. 2.37 atm.250 words (long answer): A mixture of gases exerts pressure on the walls of the container that contains them. Each gas in the mixture contributes to the total pressure by exerting its own pressure on the walls of the container. This pressure is known as the partial pressure of the gas. The total pressure in the container is the sum of the partial pressures of all the gases in the container.
To calculate the total pressure of a mixture of gases in a container, we use the following formula: P Total = P1 + P2 + P3 + ...where P1, P2, P3 are partial pressures of gases.
The partial pressure of a gas in a mixture of gases is calculated using the ideal gas law. The ideal gas law is given by the equation: PV = nRT where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature. Rearranging this equation,
we get: P = nRT/VT his equation can be used to calculate the pressure of a gas if we know the number of moles of the gas, the volume of the container, the gas constant, and the temperature of the gas. Let us apply the above formula to solve the given problem: A 20.0-liter flask contains a mixture of argon at 0.72 atmospheres and oxygen at 1.65 atmospheres. What is the total pressure in the flask? Given: Volume of flask, V = 20.0 liters Partial pressure of argon, P Ar = 0.72 atm Partial pressure of oxygen, PO2 = 1.65 atmWe know that the total pressure of the mixture is equal to the sum of the partial pressures of the individual gases. Therefore, the total pressure in the flask is given by:PTotal = PO2 + P Ar P Total = 1.65 atm + 0.72 atm P Total = 2.37 atm Therefore, the total pressure in the flask is 2.37 atm.
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Problem 1 Find the acceptance angles of the right -angle prism (a) and corner reflector (b) made from the glass (n=1.5). Acceptance angle (2θ
out
) is the angle subtending the cone of the light rays that will be totally internally reflected by the prism. b
The acceptance angle of a right-angle prism made from glass (n=1.5) is approximately 41.8 degrees. The acceptance angle of a corner reflector made from glass (n=1.5) is approximately 90 degrees.
(a) For a right-angle prism, the acceptance angle (2θ_out) is the angle at which the incident light ray inside the prism reaches the critical angle and undergoes total internal reflection. The critical angle can be determined using Snell's law, which states that sin(θ_c) = 1/n, where n is the refractive index of the medium (in this case, n=1.5 for glass). Solving for θ_c, we find θ_c = sin^(-1)(1/n). Since the incident angle inside the prism is equal to the critical angle, the acceptance angle is 2θ_c. Substituting n=1.5, we find 2θ_out ≈ 2 * sin^(-1)(1/1.5) ≈ 41.8 degrees.
(b) A corner reflector is formed by three mutually perpendicular plane mirrors, such as those in a prism. In a corner reflector made from glass (n=1.5), each mirror surface will have an acceptance angle equal to the critical angle. Using the same formula as in (a), we find θ_c = sin^(-1)(1/1.5). Since each mirror is perpendicular to the others, the total acceptance angle of the corner reflector is the sum of the acceptance angles of the individual mirrors, which results in 2θ_out ≈ 2 * sin^(-1)(1/1.5) ≈ 90 degrees.
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(8x²+y⁰)(-10x³y²z) what is the answer ?
Simplify/Multipy/Find the product: −80x^5y^2z − 10x^3y^2z
Consider making an inference about p1−p2, where there are x1 successes in n1 binomial trials and x2 successes in n2
binomial trials.
a.
Describe the distributions of x1 and x2.
b.
Explain why the Central Limit Theorem is important in finding an approximate distribution for left parenthesis ModifyingAbove p with caret 1 minus ModifyingAbove p with caret 2 right parenthesis .for p1−p2.
a. Choose the correct distributions below.
x1 has a(normal /poisson/ binomial) distribution and x2 has a (binomial/normal/poisson) distribution.
b. Choose the correct explanation below.
A. The sampling distribution of left parenthesis ModifyingAbove p with caret 1 minus ModifyingAbove p with caret 2 right parenthesis overbarp1−p2
is approximately normal for large samples.
B. The sampling distribution of left parenthesis ModifyingAbove p with caret 1 minus ModifyingAbove p with caret 2 right parenthesis overbarp1−p2
is skewed for large samples.
C. The sampling distribution of left parenthesis ModifyingAbove p with caret 1 minus ModifyingAbove p with caret 2 right parenthesis overbarp1−p2
remains the same for large samples
we can use the mean and standard deviation of this normal distribution to make inferences about p1-p2.a. X1 has a binomial distribution, and x2 has a binomial distribution.b. A. The sampling distribution of p1-p2 overbar is approximately normal for large samples.
In the following question, we will describe the distributions of x1 and x2 and explain why the Central Limit Theorem is important in finding an approximate distribution for p1-p2.
Consider making an inference about p1-p2, where there are x1 successes in n1 binomial trials and x2 successes in n2 binomial trials.a. Describe the distributions of x1 and x26
. Explain why the Central Limit Theorem is important in finding an approximate distribution for p1-p2.
a. Choose the correct distributions below.x1 has a (normal/poisson/binomial) distribution and x2 has a (binomial/normal/poisson) distribution.b. Choose the correct explanation below.A. The sampling distribution of p1-p2 overbar is approximately normal for large samples.B. The sampling distribution of p1-p2 overbar is skewed for large samples.C. The sampling distribution of p1-p2 overbar remains the same for large samples.The distributions of x1 and x2 are binomial. X1 is a binomial distribution with parameters n1 and p1. X2 is a binomial distribution with parameters n2 and p2. The Central Limit Theorem (CLT) is important in finding an approximate distribution for p1-p2 because it helps us determine the standard deviation of the sampling distribution of p1-p2. The CLT tells us that if the sample size is sufficiently large, the sampling distribution of p1-p2 is approximately normal.
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math problems she has completed.
Julie's Math
Assignments
Number of Problems
Completed
3
2 4
6
Number of Minutes
Worked
Which statement identifies the correct slope and provides the correct interpretation of the slope for this situation?
8
3
The slope of the line is so Julie completes 10 problems in 3 minutes.
10'
The slope of the line is approximately 1.36. Now let's interpret the meaning of this slope.
Based on the given slope, we can estimate that Julie would complete approximately 4.08 problems in 3 minutes.
The given table shows Julie's math assignments and the number of problems she completed for each assignment, as well as the number of minutes she worked. To find the slope and interpret its meaning, we need to calculate the rate at which Julie completes problems per minute.
First, we'll calculate the average rate of completing problems by dividing the total number of problems completed by the total number of minutes worked:
Average Rate = Total Number of Problems Completed / Total Number of Minutes Worked
Total Number of Problems Completed = (3 + 2 + 4 + 6) = 15
Total Number of Minutes Worked = 8 + 3 = 11
Average Rate = 15 / 11
Simplifying the fraction, we get:
Average Rate = 1.36 (rounded to two decimal places)
Therefore, the slope of the line is approximately 1.36. Now let's interpret the meaning of this slope.
Interpretation: The slope of 1.36 means that Julie completes approximately 1.36 problems per minute, on average. This implies that for every minute she works, she completes around 1.36 problems. However, it's important to note that the slope represents an average rate, so Julie's actual rate may vary from minute to minute.
To put it in context, if Julie works for 3 minutes, we can estimate the number of problems she would complete by multiplying the slope by the number of minutes:
Number of Problems = Slope × Number of Minutes
Number of Problems = 1.36 × 3
Number of Problems ≈ 4.08
Therefore, based on the given slope, we can estimate that Julie would complete approximately 4.08 problems in 3 minutes.
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Ling Ling, a giant panda, eats an average of 40 pounds of bamboo every day! At that rate,
how many tons of bamboo would she eat in a year?
Answer:
The answer would be 14600 lbs
Step-by-step explanation:
take the days of the year (365) multiplied by how many lbs a day (40) which would be 14600 lbs
Answer:
The answer is 7.3 tons
Step-by-step explanation:
Find the Taylor series for f centered at 4 if (-l)"n! f(n) (4) 3n(n + 1) What is the radius of convergence of the Taylor series?
To find the Taylor series for f centered at 4, we need to use the formula for the Taylor series.
f(x) = ∑[n=0 to ∞] (f^n(4)/n!)(x - 4)^n
where f^n(x) denotes the nth derivative of f(x) evaluated at x. Using the given information, we have:
f(4) = f(4) = 0 (since f(4) = ∑[n=0 to ∞] (f^n(4)/n!)(4 - 4)^n = f^0(4)/0! = f(4)/1 = f(4))
f'(4) = 3(1)(4 + 1) = 15
f''(4) = 3(2)(4 + 1)(2(4) + 1) = 294
f'''(4) = 3(3)(4 + 1)(2(4) + 1)(3(4)^2 + 3(4) + 1) = 15015
f''''(4) = 3(4)(4 + 1)(2(4) + 1)(3(4)^2 + 3(4) + 1)(4(4)^3 + 6(4)^2 + 4(4) + 1) = 5148290
Thus, the Taylor series for f centered at 4 is:
f(x) = 0 + 15(x - 4) + 294(x - 4)^2 + 15015(x - 4)^3 + 5148290(x - 4)^4 + ...
To find the radius of convergence, we can use the ratio test:
lim[n→∞] |(f^(n+1)(4)/ (n+1)!) / (f^n(4)/n!)|
= lim[n→∞] |(f^(n+1)(4) / (n+1)) / (f^n(4) / n)|
= lim[n→∞] |(3(n+2)(n+1) / (n+1)) / (3n(n+1) / n)|
= lim[n→∞] |(3(n+2)) / (n+1)|
= 3
Since the limit is less than 1, the radius of convergence is ∞, which means that the Taylor series converges for all values of x.
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find teh exact value of sin 2x given that sec x = 3/2 and csc y = 3 and x and y are in quadrant 1
The exact value of \(sin 2x\) is \(4√5/9.\)
Given that \(sec x = 3/2 and csc y = 3\)where x and y are in the 2x = 2 sin x quadrant, we need to find the exact value of sin 2x.
In the first quadrant, we have the following values of the trigonometric ratios:\(cos x = 2/3 and sin y = 3/5\)
Also, we know that sin \(2x = 2 sin x cos x.\)
Now, we need to find sin x.
Having sec x = 3/2, we can use the Pythagorean identity
\(^2x + 1 = sec^2xtan^2x + 1 = (3/2)^2tan^2x + 1 = 9/4tan^2x = 9/4 - 1 = 5/4tan x = ± √(5/4) = ± √5/2\)
As x is in the first quadrant, it lies between 0° and 90°.
Therefore, x cannot be negative.
Hence ,\(tan x = √5/2sin x = tan x cos x = √5/2 * 2/3 = √5/3\)
Now, we can find sin 2x by using the value of sin x and cos x derived above sin \(2x = 2 sin x cos xsin 2x = 2 (√5/3) (2/3)sin 2x = 4√5/9\)
Therefore, the exact value of sin 2x is 4√5/9.
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What is the domain of the function shown in the graph?
PLEASE HELP I WILL BRAINLIST
Answer:
Well we know that it's a linear because it has a exponent so what we do to answer this question
Step-by-step explanation:
------
- b+ v. b2 -4ac
x= ____________
2a
x2+ 12x +20 =0
a=1
b=12
c=20
_______
X= -12+v 12 2 -4 • 1 • 20
___________________
2•1
Answer:
2; 10
Step-by-step explanation:
12/2 = 6
\((x+6)^{2}\) = \(x^{2}\) +12x + 36
\(x^{2}\) +12x + 20
- \(x^{2}\) +12x + 36
0 + 0 - 16
\((x+6)^{2}\) - 16 = 0
\((x+6)^{2}\) = 16
x + 6 = \(\sqrt{16}\)
x = -4 + 6 = 2
x = 4 + 6 = 10
the measures of position that divide a set of data into four equal parts are called
The measures of position that divide a set of data into four equal parts are called quartiles.
Quartiles are statistical measures that divide a dataset into four equal parts, each containing approximately 25% of the data. These quartiles are denoted as Q1, Q2, and Q3.
Q1, also known as the first quartile or the 25th percentile, represents the value below which 25% of the data falls. It splits the lowest 25% of the dataset from the rest.
Q2, also known as the second quartile or the 50th percentile, is the median of the dataset. It represents the value below which 50% of the data falls, dividing the dataset into two equal parts.
Q3, also known as the third quartile or the 75th percentile, represents the value below which 75% of the data falls. It separates the highest 25% of the dataset from the rest.
These quartiles are useful in analyzing the distribution and dispersion of data, providing insights into the spread and central tendency.
They are commonly used in box plots, where the box represents the interquartile range (IQR), which is the range between Q1 and Q3, while the line inside the box represents the median (Q2).
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Find the sum of the convergent series 2(-1)-1 12n2 + 1 by using a well- known function. Round your answer to four decimal places. a. 0.0713 b. 0.0907 c. 0.8288 d. 0.0768 e. 0.0831
Upon calculating the sum up to the appropriate term, we find that the sum is approximately 0.0713. So, the correct answer is a. 0.0713
It seems like there is a typo in the series notation. I assume the series you are referring to is ∑(2(-1)^n-1)/(12n^2 + 1) from n=1 to infinity. In this case, we can determine the sum using a well-known function and round the answer to four decimal places. Since the given series is an alternating series, we can use the Alternating Series Estimation Theorem to determine an approximation for the sum. The theorem states that if the absolute difference between consecutive terms is decreasing and the limit of the terms as n approaches infinity is zero, the approximation for the sum is accurate up to the first term that is less than or equal to the desired error bound (in this case, 0.0001). For this series, we can see that the absolute difference between consecutive terms decreases as n increases and the limit as n approaches infinity is zero. So, we can find the smallest value of n for which the term is less than or equal to 0.0001 and calculate the sum up to that term.
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a sample chosen in such a way that every possible subset of same size has an equal chance of being selected is called a(n)
A sample is said to be picked in such a way that any potential subset of the same size has an equal chance of being chosen is known as simple random sample.
What is simple random sample ?
A simple random sample, also known as an SRS, is a subset of people (also known as a sample) taken from a larger group of people (also known as a population), where the subset is selected at random and with an equal probability. This procedure involves choosing a sample at random. In SRS, the probability of selecting any subset of k individuals as a sample is the same for all subsets of k individuals.
Therefore, A sample is said to be picked in such a way that any potential subset of the same size has an equal chance of being chosen is known as simple random sample.
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Simplifie les fraction pas 2 ,3,4,5 ou 9
Answer:
1,3,4,5,9
Step-by-step explanation:
They Are All Equal.
which expression below is equivalent to 4(x-3)+5x-7
The owner offers a payment plan where the total cost of the mountain
bike is paid in 3 equal monthly payments. Determine the amount of each monthly
payment. Show your work or explain your answer. *
Answer:
Step-by-step explanation:
what is the angle of ABF?
========================================
Explanation:
Ignore lines BC and FE. It might help to redraw the figure without those lines present. Refer to the diagram below. Doing this is optional if you can spot what's going on without having to erase those lines.
Notice how angles 1 and 3 are congruent corresponding angles, due to lines FJ and DC being parallel.
Since angle 3 is 55 degrees, angle 1 is also 55 degrees.
--------------
Once we determine angle 1, we subtract from 180 because angle ABF is supplementary to angle 1 (aka angle ABJ)
In other words,
(angle ABJ) + (angle ABF) = 180
angle ABF = 180 - (angle ABJ)
angle ABF = 180 - (angle 1)
angle ABF = 180 - (55)
angle ABF = 125 degrees
A train of length 180 m approaches a tunnel of length 620 m.
How long will it take the train to pass completely through the
tunnel at a speed of 54 km/h?
The 5 owners of Mei's Restaurant remodeled their business. They bought 6 tables, 48 chairs, and 4 crystal light fixtures. The cost of these purchases was divided equally among the owners. Excluding tax, how much did each owner pay?
Answer:
$391.2 per owner
Step-by-step explanation:
find the total price of the items and divide it by five
You sold $2,200 last week in mascara and $3,000 in eyeliner. At the end of this week you sold $1,850 in mascara and $2,600 in eyeliner. What is the total percent growth rate on sales.
Answer:
Step-by-step explanation:
Please help!!!
I tried to draw this out, pretend it looks like a circle.
(Point x is the center of the circle)
How do you find the length of chord DF with the knowledge that AC=DF and that BC=12
To find the length of chord DF, we can use the properties of a circle. Since point X is the center of the circle, we know that the line segment XB is also a radius of the circle. Therefore, XB = AC = DF.
We also know that BC = 12. Since XB is a radius, we can use the Pythagorean theorem to find the length of AB, which is half of DF. We have:
AB^2 + BC^2 = XB^2
AB^2 + 12^2 = XB^2
AB^2 + 144 = XB^2
But we also know that AB = DF/2, so we can substitute that into the equation above:
(DF/2)^2 + 144 = XB^2
DF^2/4 + 144 = XB^2
Finally, we substitute XB = AC = DF to get:
DF^2/4 + 144 = DF^2
144 = 3DF^2/4
DF^2 = 192
DF = sqrt(192) ≈ 13.86
Therefore, the length of chord DF is approximately 13.86.
with which measurement procedure is the target behavior recorded if it occurs at any point within the scoring interval?
If the target behavior is recorded whenever it occurs at any point within the scoring interval, the measurement procedure used is called continuous recording or event recording. This method involves observing and recording each instance of the behavior without considering its duration or intensity.
Continuous recording is typically used when the target behavior is discrete and occurs relatively infrequently or has a short duration. With this measurement procedure, each occurrence of the behavior is recorded as a separate event, regardless of when it starts or ends within the scoring interval. Examples of behaviors that can be measured using continuous recording include vocalizations, hand clapping, or instances of aggression.
Continuous recording provides a comprehensive account of the frequency or rate at which the behavior occurs, allowing for a detailed analysis of its occurrence patterns. This method is particularly useful when a precise count of behavior instances is needed and when the duration or intensity of the behavior is not a focus of measurement.
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A TV has a listed price of $578.98 before tax. If the sales tax rate is 8.25%, find the total cost of the TV with sales tax included.
Round your answer to the nearest cent, as necessary.
Answer:
$626.75
Step-by-step explanation:
First, we must find how much tax will be added to the TV's price:
Step 1: Convert the percentage to a decimal:
To convert a percentage to a decimal, divide it by 100
8.25/100 = 0.0825
Step 2: Multiply the TV's price by that decimal:
578.98 * 0.0825 = 47.76585
So $47.76585 will be added to the price
Now, we can calculate the total price:
Step 3: Add the tax we jsut calculated to the TV's price to find total price:
578.98 + 47.76585
= 626.74585
Step 4: Round to the nearest cent (2 decimal places)
626.75
So the total price is $626.75
Pleaseee answer thisss
4x-9y-7=4
standard form!
Answer:
In standard form: 4x- 9y = 11
Explanation:
4x -9y -7 = 4
4x -9y = 4 + 7
4x- 9y = 11
Standard form: Ax+By = C...where the A, x coefficient should be positive.
What is the percent of change from 55 to 22?
Answer:
40 percent
Step-by-step explanation:
22/55 = 0.4
0.4 = 40%
check answer: 55 x 0.4 = 22
If zn = z√, what value of n makes this equation true?
Answer:
\(zn\:=\:z\sqrt{n^2}\)
Step-by-step explanation:
zn = z√?
√? = \(\frac{zn}{z}\)
√? = n
? = n²
Therefore z√n² makes the statement zn true
Solution:
Note that:
Given equation: zn = z√x (x = unknown value)Simplify the equation and solve for the variable n.
zn = z√xz(n) = z(√x)=> n = √xThe value of n to make the equation (zn = z√x {x = unknown value}) true is √x.
I need help on this equation!
-4x+3x=2
Answer: x = -2
Step-by-step explanation: First, add the x values together to get -1x=2, then divide by -1 on both sides to get x = -2.
There are 30 calories in cup of red seedless grapes. How many calories are consumed if a person eats between and 1 cups of grapes?
The number of calories in cups of red seedless grapes is _____
The number of calories in 1 cups of red seedless grapes is _____
The inequality that could represent the number of calories when eating more than but less than 1 cups of grapes is_____
Answer:
the first one is 90, the second is 150, the third is option d
Step-by-step explanation:
Answer:first its 90 , then the second one is 150 , then the third one is d ( the last option )
Step-by-step explanation:
just did it on edg 2021 ! :)