Answer:
12)
11-5+x=2x-1
x-2x=-1-11+5
-x=-7
x=7
13)
10+2x+12=x+17
2x-x=17-12-10
x=-5
Step-by-step explanation:
3 1/4 divided by 1/4
Step-by-step explanation:
31/4÷1/4=1.9375 this is the answer
if 2,000 styluses are available at the beginning of a week, and the price is rising at 12 cents per week, then supply is. Falling or Rising The wholesale price p of e-tablet writing styluses in dollars is related to the supply x in thousands of units by 500p²x²: 1996, If 2,000 styluses are available at the beginning of a week, and the price is falling at 6 cents per week, then supply is - falling - rising at a rate of ____ styluses per week.
The supply of styluses is falling at a rate of 0.0144p² styluses per week.
To determine the exact rate of change in supply, we need to look at the equation provided: 500p²x² = 1996. We can rearrange this equation to solve for x, which represents the supply of styluses:
x² = (1996/500p²)
x = √(1996/500p²)
Now, we can differentiate this equation with respect to time to find the rate of change in supply:
dx/dt = (-1/2)(1996/500p²)(-1000p²/1996)*dp/dt
Simplifying this equation, we get:
dx/dt = (6/25)p²dp/dt
Using the information provided in each situation, we can plug in the appropriate values to find the rate of change in supply:
In the first situation, where the price is rising at 12 cents per week, dp/dt = 0.12. Plugging this into the equation above, we get:
dx/dt = (6/25)(p²)(0.12) = 0.0288p²
This means that the supply of styluses is rising at a rate of 0.0288p² styluses per week.
In the second situation, where the price is falling at 6 cents per week, dp/dt = -0.06. Plugging this into the equation above, we get:
dx/dt = (6/25)(p²)(-0.06) = -0.0144p²
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Solve for g: C = 1/2gk
Answer:
G = \(\frac{C(2)}{k}\)
Step-by-step explanation:
C = 1/2gk
First you want to multiple both sides by 2 to get rid of that fraction and you get
C (2) = gk then you divide both sides by k to isolate the g and your left with
G= \(\frac{C(2)}{k}\)
Hope this helps
Work out the value of x
Answer:
x = 20°
Step-by-step explanation:
Consecutive interior angles theorem
The pairs of consecutive interior angles formed when two parallel lines are cut by a transversal are supplementary (sum to 180°).
⇒ 4x + 5x = 180°
⇒ 9x = 180°
⇒ x = 20°
Answer:
4x+5x=180
9x/9=180/9
x=20
Which transformation produces congruent figures?
PLEASE HELP, ANYONE!!! HOMEWORK IS DUE TODAY!!!
Answer:
Last option
Step-by-step explanation:
If you have a plain translation (moving figures up/down/left/right), it doesn't change the size or shape of the object.
Same with reflection, it doesn't change the size or shape.
Hope this helped!
Ram has two plots in two different places. Both are square in shapes. The side of the first field is 350m and the side of the other field is 220m. Find the total area of the fields that Ram has?
The total area of the fields that Ram has is 170,900 square meters ( 170900 m²)
Calculating the areas of squaresFrom the question, we are to determine the total area of the fields that Ram has
Since the fields are square in shapes, we will use the formula for calculating the area of a square
The area of a square can be calculated by using the formula,
A = s²
Where A is the area
and s is the side
For the first field
s = 350 m
∴ A = 350²
A = 122500 m²
For the second field
s = 220 m
∴ A = 220²
A = 48400 m²
Then,
The total area of the fields = 122500 m² + 48400 m²
The total area of the fields = 170900 m²
Hence, the total area of the fields that Ram has is 170,900 square meters ( 170900 m²)
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which of the following statements is considered a type ii error? group of answer choices the student is pregnant, but the test result shows she is not pregnant. the student is pregnant, and the test result shows she is pregnant. the student is not pregnant, and the test result shows she is not pregnant.
A statement that is considered as a Type II error is: B. The student is pregnant, but the test result shows she is not pregnant.
What is a null hypothesis?In Mathematics, a null hypothesis (H₀) can be defined the opposite of an alternate hypothesis (Ha) and it asserts that two (2) possibilities are the same.
In this scenario, we have the following hypotheses;
H₀: The student is not pregnant
Ha: The student is pregnant.
In this context, we can logically deduce that the statement "The student is pregnant, but the test result shows she is not pregnant." is a Type II error because it depicts or indicates that the null hypothesis is false, but we fail to reject it.
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Complete Question:
Pregnancy testing: A college student hasn't been feeling well and visits her campus health center. Based on her symptoms, the doctor suspects that she is pregnant and orders a pregnancy test. The results of this test could be considered a hypothesis test with the following hypotheses:
H0: The student is not pregnant
Ha: The student is pregnant.
Based on the hypotheses above, which of the following statements is considered a Type II error?
*The student is not pregnant, but the test result shows she is pregnant.
*The student is pregnant, but the test result shows she is not pregnant.
*The student is not pregnant, and the test result shows she is not pregnant.
*The student is pregnant, and the test result shows she is pregnant.
how many ways are there to select 10 countries in the united nations to serve on a council if 3 is selected from a block of 52, 1 are selected from a block of 62 and 6 are selected from the remaining 75 countries?
There are 12,804,280,000 ways to select 10 countries in the United Nations to serve on a council.
UN Council Country SelectionThe number of ways to select 3 countries from a block of 52 is given by the combination formula:
C(52, 3) = 52! / (3! * (52 - 3)!) = 19600.The number of ways to select 1 country from a block of 62 is given by:C(62, 1) = 62.
The number of ways to select 6 countries from the remaining 75 countries is given by:C(75, 6) = 75! / (6! * (75 - 6)!) = 178,365.
Finally, to find the number of ways to select 10 countries in total, we multiply the number of ways to select 3, 1, and 6 countries:
19600 * 62 * 178365 = 12,804,280,000.
So there are 12,804,280,000 ways to select 10 countries in the United Nations to serve on a council.
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only matrices of the same ___ can be added or subtracted.
Only matrices of the same size can be added or subtracted.
A matrix is a rectangular array of numbers and is composed of rows and columns. In order to add or subtract matrices, the matrices must have the same number of rows and columns. If the matrices do not have the same size, they cannot be added or subtracted.
For example, if one matrix is a 2x3 matrix, the other matrix must also be a 2x3 matrix. Similarly, if one matrix is a 3x2 matrix, the other matrix must also be a 3x2 matrix. The numbers in each matrix may vary, but the size of the matrices must be the same for the operation to be valid.
When adding or subtracting matrices, the numbers in the same position (row and column) are added or subtracted. For example, if one matrix is [[1,2,3], [4,5,6], [7,8,9]] and the other matrix is [[2,4,6], [8,10,12], [14,16,18]], the resulting matrix would be [[3,6,9], [12,15,18], [21,24,27]].
Adding and subtracting matrices is a useful tool in mathematics and is often used to solve equations and simplify complex problems. It is important to remember that only matrices of the same size can be added or subtracted.
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What is the prime factorzation of 54
Answer:
2*3*3*3
Step-by-step explanation:
Answer:
54 = 2×3^3
Step-by-step explanation:
Factor the following integer:
54
Hint: | Is 54 divisible by 2?
The last digit of 54 is 4, which means it is even. Therefore 54 is divisible by 2:
54 = 2 27:
54 = 2×27
Hint: | Now try to factor 27. Is 27 divisible by 2?
27 is not divisible by 2 since 27 is odd and 2 is even:
54 = 2×27 (27 is not divisible by 2)
Hint: | Is 27 divisible by 3?
The sum of the digits of 27 is 2 + 7 = 9, which is divisible by 3. This means 27 is divisible by 3:
27 = 3 9:
54 = 2×3×9 (9 is not divisible by 2 since 27 is not)
Hint: | Now try to factor 9. Is 9 divisible by 3?
9 = 3 3, which means 9 is divisible by 3:
9 = 3 3:
54 = 2×3×3×3 (3 is not divisible by 2 since 9 is not)
Hint: | Now try to factor 3. Is 3 prime?
No primes less than 3 divide into it. Therefore 3 is prime:
54 = 2×3×3×3
Hint: | Express 54 as a product of prime powers.
There is 1 copy of 2 and 3 copies of 3 in the product:
Answer: 54 = 2×3^3
About how many times greater is 12,000 miles than 3 • 10^3 miles?
Answer:
3•10^3 is 3,000, so the answer is 9,000
researcher wishes to estimate within $300 the true average amount of money a county spends on road repairs each year. the population standard deviation is known to be $900. how large a sample must be selected if she wants to be 90% confident in her estimate?
Estimated large sample size need to be selected for the 90% of confidence level with standard deviation of $900 is equal to 24.
Standard deviation = $900
Confidence level = 90%
Estimate the required sample size,
Use the formula for the margin of error,
Margin of Error = Z × (standard deviation / √(sample size))
where Z is the z-score corresponding to the desired level of confidence.
Using attached z-score table,
For 90% confidence level, Z = 1.645.
Rearrange the formula to solve for the sample size,
Sample size = (Z × standard deviation / margin of error) ^ 2
Substituting the given values, we get,
⇒ Sample size = (1.645 × 900 / 300) ^ 2
⇒ Sample size = 24.35
Round up to the nearest whole number = 24
Therefore, need a sample size of at least 28 to ensure that it is large enough to achieve the desired level of confidence level.
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n^2=9n-20 solve using the quadratic formula PLEASE HELP
Answer:
N= 5, and 4
Step-by-step explanation:
I put the equation into a website calculator called math-way. com.
I told it to solve using the quadratic formula.
Which number should be added to
both sides of this quadratic equation
to complete the square?
(-3/2)² + 1 = x² − 3x + (-3/2)²
Answer:
9/4
Step-by-step explanation:
You want to know the value required to complete the square in the equation 1 = x² -3x.
PictureYour picture shows the required value: (-3/2)² = 9/4.
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What is your estimated project completion time?
Please show work.
\begin{tabular}{|l|l|l|l|l|} \hline Activity & a & m & b & Immediate Predecessor \\ \hline A & 1 & 2 & 3 & \( \cdots \) \\ \hline B & 2 & 3 & 4 & \( \cdots \) \\ \hline C & 4 & 5 & 6 & A \\ \hline D &
To find the estimated project completion time for the given project activities, we need to first calculate the earliest start and earliest finish times and then the latest start and latest finish times.
Using the activity times given, we can calculate the earliest start and earliest finish times for each activity as follows: Activity A: Earliest start time = 0
Earliest finish time = 1
Activity B: Earliest start time = 2
Earliest finish time = 5
Activity C: Earliest start time = 5
Earliest finish time = 11
Activity D: Earliest start time = 11
Earliest finish time = 17
Activity E: Earliest start time = 5
Earliest finish time = 8 Activity F:
Earliest start time = 8
Earliest finish time = 17
Now we can calculate the latest start and latest finish times for each activity using the backward pass.
Latest finish time = 5
Latest start time = 2
Activity A: Latest finish time = 1
Latest start time = 0
Now we can calculate the slack time for each activity as follows:Activity A:
Slack time = 0
Activity B: Slack time = 0
Activity C: Slack time = 0
Activity D: Slack time = 0
Activity E: Slack time = 3
Activity F: Slack time = 0
The critical path for this project is A -> C -> D, since these activities have zero slack time. Therefore, the estimated project completion time is 17 units of time.
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Answer questions using letters to name each line angle. Write them in
alphabetical order.
GH and IJ are parallel lines and PQ is the transversal.
To determine which two lines are parallel, you need to identify pairs of lines that have the same slope and never intersect. Parallel lines can be found by comparing the slopes of the lines in the given diagram.
The name of the transversal can be identified by looking for a line that intersects two or more other lines in the diagram. The transversal is a line that cuts across the other lines.
In the given diagram, lines GH and IJ can be identified as parallel lines. Parallel lines are lines that have the same slope and never intersect. In this case, GH and IJ can be seen as distinct lines that maintain a constant distance from each other, extending infinitely in both directions.
Furthermore, line PQ can be recognized as the transversal. A transversal is a line that intersects two or more other lines. In this diagram, PQ intersects both GH and IJ, forming multiple angles at their intersection points.
The given question is incomplete. The complete question is:
Answer questions using letters to name each line angle. Write them in
alphabetical order. 1. Which two lines are parallel? 2. What is the name of the transversal
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How do you solve question 8 of geometry worksheet? (Grade 8th)
Could somebody answer these for me please?
Answer:
question 4: the jet travels 768 miles in 8 hours. the speed of the jet is 96miles per hour
question 2 Sam's club is the better buy
question 3stop and save
use the counting principle to determine the number of elements in the sample space. the possible ways to complete a true-false examination consisting of 30 questions.
There are 1,073,741,824 possible ways to complete the true-false examination consisting of 30 questions.
How to find the number of elements in the sample space of a true-false examination?The counting principle, also known as the multiplication principle, is used to determine the total number of outcomes in a sample space by multiplying the number of choices for each independent event together.
In the case of a true-false examination consisting of 30 questions, each question has two possible choices: true or false.
Therefore, the number of possible ways to complete the examination can be calculated using the counting principle as follows:
Number of choices per question = 2 (true or false)
Number of questions = 30
To determine the total number of outcomes, we multiply the number of choices for each question together:
Total number of outcomes = \(2^{30\)
Calculating \(2^{30\) gives us the number of possible ways to answer the 30-question true-false examination. Using a calculator or computer software, we find that \(2^{30\) is equal to 1,073,741,824.
Therefore, there are 1,073,741,824 possible ways to complete the true-false examination consisting of 30 questions.
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Holland America Cruise Lines has three luxury cruise ships that sail to Alaska during the summer months. Since the business is very competitive, the ships must run full during the summer if the company is to turn a profit on this line. A tourism expert hired by Holland America believes there is a 0.92 chance the ships will sail full during the coming summer if the dollar does not appreciate against European currencies, and a 0.75 chance they will sail full if the dollar does appreciate in Europe (appreciation of the dollar in Europe draws U.S. tourists there, away from U.S. destinations). Economists believe the dollar has a 0.23 chance of appreciating against European currencies soon. What is the probability the ships will sail full?
Answer:
0.8809 = 88.09% probability the ships will sail full.
Step-by-step explanation:
What is the probability the ships will sail full?
0.75 of 0.23(dollar appreciating)
0.92 of 1 - 0.23 = 0.77(dollar not appreciating). So
\(p = 0.75*0.23 + 0.92*0.77 = 0.8809\)
0.8809 = 88.09% probability the ships will sail full.
During the school year, teachers save money for use during the summer, when
they are not being paid. This year, one teacher was able to save $2257. He figures
he will need $37 a day for spending money. How many days will it be before he
does not have any money left? (WRITE YOUR ANSWER AS A NUMBER ONLY!!!)
Answer:
My answer is 61 daysStep-by-step explanation:
I just divide the $2257 to $37
so the answer is 61
geometric of
1/3, 2/9, 4/27, 8/81, 16/243
1 - cos^2 0= sin^2 0
Answer:
Step-by-step explanation:
it is true because it is derived from the formula:sin^2 theta+cos^2 theta=1
Sets that are made up of isolated points and can be written as lists are called ____ sets. a. Discrete b. Element c. Continuous d. Infinite
Answer:
Discrete set
Step-by-step explanation:
A discrete consists of a fixed number of elements, such that each element or point in the set is a standalone point or isolated. This differs from a continous set which still consists of points in between each set of values. Therefore the property of isolated point is a characteristic of a discrete set. The can be written as a list. The values are isolated on a discrete set as opposed to that of a continuous set whereby values can take up any value within any two intervals in the set.
a is an nn matrix. determine whether the statement below is true or false. justify the answer. if a for some scalar , then is an eigenvector of a.
The statement is false. The existence of a scalar α such that αv is an eigenvector of a does not imply that v itself is an eigenvector of a.
What is matrix?A group of numbers built up in a rectangular array with rows and columns. The elements, or entries, of the matrix are the integers. In addition to numerous mathematical disciplines, matrices find extensive use in the fields of engineering, physics, economics, and statistics.
The statement is false. An eigenvector is a non-zero vector that, when multiplied by a matrix, produces a scalar multiple of itself. In other words, if v is an eigenvector of a matrix A, then Av = λv, where λ is the corresponding eigenvalue.
The statement suggests that if a is an nn matrix (presumably an n x n matrix), and a scalar α exists such that αv is an eigenvector of a, then v must also be an eigenvector of a. However, this is not necessarily true.
Let's consider a counterexample to demonstrate this. Suppose we have the 2x2 identity matrix I:
I = [[1, 0],
[0, 1]]
In this case, any non-zero vector v will satisfy the condition αv = v for α = 1. However, not all non-zero vectors v are eigenvectors of I. In fact, the only eigenvectors of I are [1, 0] and [0, 1] with corresponding eigenvalues of 1.
Therefore, the statement is false. The existence of a scalar α such that αv is an eigenvector of a does not imply that v itself is an eigenvector of a.
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Need Help here Please!
Answer:
Step-by-step explanation:
To solve the given equation \(\sf x - y = 4 \\\), we can perform the following calculations:
a) To find the value of \(\sf 3(x - y) \\\):
\(\sf 3(x - y) = 3 \cdot 4 = 12 \\\)
b) To find the value of \(\sf 6x - 6y \\\):
\(\sf 6x - 6y = 6(x - y) = 6 \cdot 4 = 24 \\\)
c) To find the value of \(\sf y - x \\\):
\(\sf y - x = - (x - y) = -4 \\\)
Therefore:
a) The value of \(\sf 3(x - y) \\\) is 12.
b) The value of \(\sf 6x - 6y \\\) is 24.
c) The value of \(\sf y - x \\\) is -4.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Using special right triangles show and explain all work for each problem. Each solution and work should demonstrate your understanding of Special Right Triangles (30-60-90 and 45-45-90)
Find the missing side length and angle of this triangle. I've attached the triangle.
Answer:
angles are 30,60 and 90
Step-by-step explanation:
apply rule <30 = 1 <60 = ✓3 <90 = 2
6. complete the interpretation for the p-value: if delta and united flights are (equally, not equally) on time, then the chance that we see a sample statistic of or any statistic (larger, smaller) is .
If delta and united flights are not equally on time, then the chance that we see a sample statistic of not equally or any statistic (larger or smaller) is larger, 0.05.
This is because the probability of a sample statistic being either larger or smaller (relative to the population) is always greater than the probability of it being equal. The p-value of 0.05 indicates that there is a 5% probability that the difference in on-time performance between Delta and United flights is due to chance.
The p-value of 0.05 indicates that there is a 5% chance that the observed sample statistic (of being larger or smaller than expected) is due to chance alone.
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The complete question is:
Complete the interpretation for the p-value:
If delta and united flights are (equally, not equally) on time, then the chance that we see a sample statistic of ______ or any statistic (larger, smaller) is _______ .
The optimal amount of x1, x2, P1, P2 and income are given by the
following:
x1= 21/ 7p1 x2= 51 / 7p2
The original prices are: P1=10 P2=5 The original income is: I
=4189 The new price of P1 is the foll
The total change in the consumed quantity of x₁ as per given price and income is equal to 213.
x₁ = (21/7)P₁
x₂ = (51/7)P₂
P₁ = 10
P₂ = 5
P₁' = 81
To calculate the total change in the quantity consumed of x₁ when the price of P₁ changes from P₁ to P₁',
The difference between the quantities consumed at the original price and the new price.
Let's calculate the quantity consumed at the original price,
x₁ orig
= (21/7)P₁
= (21/7) × 10
= 30
x₂ orig
= (51/7)P₂
= (51/7) × 5
= 36.4286 (approximated to 4 decimal places)
Now, let's calculate the quantity consumed at the new price,
x₁ new
= (21/7)P1'
= (21/7) × 81
= 243
x₂ new
= (51/7)P2
= (51/7) × 5
= 36.4286
The total change in the quantity consumed of x₁ can be calculated as the difference between the new quantity and the original quantity,
Change in x₁
= x₁ new - x₁ original
= 243 - 30
= 213
Therefore, the total change in the quantity consumed of x₁ is 213.
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The above question is incomplete, the complete question is:
The optimal amount of x1, x2, P1, P2 and income are given by the following:
x1= 21/ 7p1 x2= 51 / 7p2
The original prices are: P1=10 P2=5 The original income is: I =4189 The new price of P1 is the following: P1'=81 Assume that the price of x1 has changed from P1 to P1'. What is the total change in the quantity consumed of x1?
Please answer step by step
What is the formula of Circumcentre of triangle?
The formula for Circumcentre of a triangle, \(P(X, Y) = [ \frac{x_{1} sin2A + x_{2} sin 2B + x_{3} sin 2C }{sin 2A + sin 2B + sin 2C} , \frac{sin 2A y_{1} +sin 2B y_{2} + sin 2Cy_{3} }{sin 2A + sin 2B + sin 2C} ]\)
Circumcentre of a triangle:As we know the point of intersection of perpendicular bisectors of a triangle is known as the circumcenter of the triangle.
The circumcenter, which can be found within or outside of the triangle, is also the center of the triangle's circumcircle. And it will be equidistant from all three vertices of the triangle.
The formula for Circumcentre of a triangle:The formula used to calculate the circumcenter is given by
\(P(X, Y) = [ \frac{x_{1} sin2A + x_{2} sin 2B + x_{3} sin 2C }{sin 2A + sin 2B + sin 2C} , \frac{sin 2A y_{1} +sin 2B y_{2} + sin 2Cy_{3} }{sin 2A + sin 2B + sin 2C} ]\)
Where
P(X, Y) - coordinates of the circumcenter
A (x₁, y₁), B (x₂, y₂), and C (x₃, y₃) are the vertices of the triangle
A, B, and C are the interior angles of the triangle
Therefore,
The formula for Circumcentre of a triangle, \(P(X, Y) = [ \frac{x_{1} sin2A + x_{2} sin 2B + x_{3} sin 2C }{sin 2A + sin 2B + sin 2C} , \frac{sin 2A y_{1} +sin 2B y_{2} + sin 2Cy_{3} }{sin 2A + sin 2B + sin 2C} ]\)
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