Answer:
Suppose that you have a random point (x, y), and now you do a dilation from the origin with a scale factor of k.
Then the new coordinates of the point are:
(k*x, k*y)
Now, in this question, we have a dilation of scale factor k = 1/2.
Then if we start with the point (x, y), after the dilation we will have the point (x/2, y/2)
Now you can notice that instead of this, in the table we have (2*x, 2*y)
So this is the error, the transformation is not correctly calculated.
4. Calculate the expected value for the spinner at right?
(3pts)
8
1200
24
6
Answer: The expected value is 12.44
Step-by-step explanation:
The expected value can be calculated as:
EV = ∑xₙ*pₙ
Where xₙ is the n-th outcome. For the case of the spinner we have 3 possible outcomes:
x₁ = 8
x₂ = 6
x₃ = 24
And pₙ is the probability of the n-th event.
For the case of the spinner, the probability of each section will be equal to the quotient between the degrees of each arc, and the total number of degrees in a circle (360°).
First, we can see that for outcome = 8, the angle is a right angle, then it is equal to 90°, then the probability of this event will be:
p₁ = 90°/360° = 0.25
For outcome = 24, we have an angle of 120°, then the probability for this event is:
p₃ = (120°/360°) = 0.33
And the angle for the third arc must be such that:
90° + 120° + A = 360°
then:
A = 360° - 90° - 120° = 150°
Then the probability for the outcome = 6 is:
p₂ = (150°/360°) = 0.42
Now we can find the expected value as:
EV = (8*0.25 + 6*0.42 + 24*0.33) = 12.44
HELP HELP HELP HELP HELP HELP HELP HELP
Answer:
2.25
Step-by-step explanation:
in order to find the scale factor from A to B you need to divide B by A. 13.5÷6=2.25. 11.25÷5=2.25 and 4.5÷2=2.25.
therefore the scale factor is 2.25 because when you multiply the sides from A by 2.25 you get the length of the side from B.
Answer:
2.25
Step-by-step explanation:
Find the measure of the angle to the nearest degree. 20 POINTS
a) sin A = 0.6018
b) cos B = 0.9205
c) tan C = 0.0349
The measures of the angles to the nearest degree are:
a) A ≈ 36 degrees
b) B ≈ 23 degrees
c) C ≈ 2 degrees
To find the measure of the angle to the nearest degree given trigonometric ratios, we can use inverse trigonometric functions.
Here are the steps to determine the angles:
a) sin A = 0.6018
Taking the inverse sine (arcsin) of both sides:
A = arcsin(0.6018)
Using a calculator, we find A ≈ 36 degrees (rounded to the nearest degree).
b) cos B = 0.9205
Taking the inverse cosine (arccos) of both sides:
B = arccos(0.9205)
Using a calculator, we find B ≈ 23 degrees (rounded to the nearest degree).
c) tan C = 0.0349
Taking the inverse tangent (arctan) of both sides:
C = arctan(0.0349)
Using a calculator, we find C ≈ 2 degrees (rounded to the nearest degree).
Therefore, the measures of the angles to the nearest degree are:
a) A ≈ 36 degrees
b) B ≈ 23 degrees
c) C ≈ 2 degrees.
Note: Trigonometric functions have periodicity, meaning there may be multiple angles with the same trigonometric ratio.
To determine the principal angle within a specific range, we use the inverse trigonometric functions.
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99 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
Two stockpots are similar cylinders. The smaller stockpot has a height of 10 inches and a radius of 2.5 inches, the volume of larger one is 628.32 cubic inches.
We know that, to find volume:
Volume = π * \(r^2\) * h
For the smaller stockpot:
Radius (r) = 2.5 inches
Height (h) = 10 inches
Volume = π * (2.5)² * 10 ≈ 196.35 cubic inches
For the larger stockpot:
Radius (r) = 2.5 inches
Height (h) = 16 inches
Volume = π * (2.5)² * 16
≈ 628.32 cubic inches
Thus, the volume of larger one is 628.32 cubic inches.
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Please help image attached- giving 5O points
Answer:
2, 1, 3, 3, 2, 2
Step-by-step explanation:
those are the number above. 21 freq. is 2, 22 freq. is 1 and so on. tell me if this is wrong
Will give 80 points!
Method of Travel to School
Walk/Bike Bus Car Row totals
Under age 15 60 165
Age 15 and above 65 195
Column totals 152 110 98 360
What percentage of students under age 15 travel to school by car? Round to the nearest whole percent.
11%
18%
41%
Answer:
There are about 80 students age 15 and above take a car to school.
Step-by-step explanation:
1. For all the columns the total has been given.
2. Bus is taken as 60 as walk/bike has been given 65 under age 15.
3. 195 row total Age 15 and above has been provided and updated.
4. Walk/Bike 152, 65 is already given Age 15 and above difference is 87.
5. Bus 60 under age 15 is already given total 110 difference is 50.
6. Age 15 and above 65,50,195 (Total) is already given row difference is 80.
7. Car is Age 15 and above is 80 and Total column is 98 difference is 18.
8. Age 15 and above take car is 80.
Answer:
its 41%
Step-by-step explanation:
i took the test
Josie has a 1,364-page book to read over summer vacation. She wants to read the
same number of pages each day for 62 days. What is the total number of pages
Josie will need to read each day?
A. 28
B. 27
C. 22
D. 17
let v be a real vector space. suppose that v1, v2, v3, v4 are vectors in v which are linearly independent. show that the vectors v1, v1 v2, v1 v2 v3, v1 v2 v3 v4 are also linearly independent.
given that v1,v2 ,v3,v4 is linearly independent vector so in order for a set of vectors to be linearly independent it must satisfy the below conditon:
\(x_1v1+x_2v2+x_3v3+x_4v4\) =0 --(i)
where \(x_1, x_2,x_3 ,x_4\) is some real numbers.
a) so in order to show that v1,v2+v4,v3 is linearly independent we have to
check if equations formed by these vectors can be transformed into some equation of equation (i) form.
so we have :
\(x_1v1+x_2(v2+v4) +x_3v3\) ---(ii)
where \(x_1, x_2,x_3\) is some real numbers.
after evaluating equation (ii) we have:
\(x_1v1+x_2v2+x_3v3+x_2v4\)
so the above equation is now transformed in the form of equation (i) where \(x_2 = x_4\)
and hence \(x_1v1+x_2v2+x_3v3+x_2v4\) =0 ----(iii)
equation (iii) shows that the set of given vectors are linearly independent.
b) so in order to show that v1 +v2, v3, v4 is linearly independent we have to check if equations formed by these vectors can be transformed into some equation of equation (i) form.
so we have this equation:
\(x_1(v1+v2)+ x_2v3 + x_3v4\) where \(x_1, x_2,x_3\) is some real numbers.
after evaluating equation (iv) we have:
\(x_1v1+x_1v2+x_2v3+x_3v4\)
so the above equation is now transformed in the form of equation (i) where the cofficient of v2 is also \(x_1\)
and hence \(x_1v1+x_1v2+x_2v3+x_3v4\) =0 ----(v)
equation (v) shows that the set of given vectors are linearly independent.
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Complete question :
let v be a real vector space. suppose that v1, v2, v3, v4 are vectors in v which are linearly independent. show that the vectors a) v1, v2+v4, v3 and b) v1 +v2, v3, v4 are also linearly independent.
The vectors v1, v1+v2, v1+v2+v3, v1+v2+v3+v4 are also linearly independent is hence proved.
let v be a real vector space.
The v1, v2, v3, v4 are vectors in v which are linearly independent.
V={v1, v2, v3, v4} then set V is called linearly independent if \(\forall \alpha_i \in F \\\).
∝1v1+∝2v2+∝3v3+..........+∝nvn=0
then, \(\forall \alpha_i =0 \\\) i=1,2,3......n.
let ∝1,∝2,∝3,∝4 ε F
∝1v1+∝2(v1+v2)+∝3(v1+v2+v3)+∝4(v1+v2+v3+v4)=0
v1(∝1+∝2+∝3+∝4)+v2(∝2+∝3+∝4)+v3(∝3+∝4)+v4.∝4=0
Since v1, v2, v3, v4 are linearly independent vectors.
So ∝1+∝2+∝3+∝4=0......(1)
∝2+∝3+∝4=0....(2)
∝3+∝4=0....(3)
∝4=0...(4)
Solving eq(1), (2), (3), (4)
we get ∝1=∝2=∝3=∝4=0
So according to definition of linearly independent vectors.
A set of vectors is called linearly independent if no vector in the set can be expressed as a linear combination of the other vectors in the set. If any of the vectors can be expressed as a linear combination of the others, then the set is said to be linearly dependent.
So v1, v1+v2, v1+v2+v3, v1+v2+v3+v4 are also linearly independent vectors hence proved.
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Solve for b
10, b, 150degrees, 12degrees
Hello!
We have all angles of the triangle:
We will use the law of cosines. This relation is valid for all sides of any t
We have:
angle A = 12°
côté a = 10
angle B = 150°
This is therefore the first case of application of the sine law.
So:
\(\sf \dfrac{b}{sin~B} = \dfrac{a}{sin~A}\)
\(\sf b =\dfrac{sin~B~*~a}{sin~A} = \dfrac{sin~150~*~10cm}{sin~12} = \dfrac{arcsin~0.5~*~10cm}{arcsin~0.2079116908} = \dfrac{30~*~10cm}{12} = \dfrac{300cm}{12} = \boxed{\sf25cm}\)
b = 25cmcalculate the herfindahl-hirschman index for two scenarios. initially, there are four teams, and they compete for 10 years. team a wins 8 championships and team b wins 2. the other teams win none. now suppose there are eight teams. two teams win 4 championships, two win one each, and the others all win zero
The HHI is less than 1,800, which is considered a low level of market concentration. Therefore, we can conclude that both scenarios represent relatively competitive markets.
The Herfindahl-Hirschman Index (HHI) is a measure of market concentration that is commonly used to assess the degree of competition in a market. The index is calculated as the sum of the squared market shares of all the firms in the market. The HHI can range from 0 to 10,000, with higher values indicating greater market concentration.
To calculate the HHI for the two scenarios given, we need to first calculate the market shares of the teams in each scenario. In the first scenario, there are four teams with the following market shares:
Team A: 8/10 = 0.8
Team B: 2/10 = 0.2
Teams C and D: 0/10 = 0
The HHI for this scenario is calculated as:
HHI = \((0.8^2 + 0.2^2 + 0^2 + 0^2) \times10,000\)
= 68,000
In the second scenario, there are eight teams with the following market shares:
Teams A and B: 4/10 = 0.4 each
Teams C and D: 1/10 = 0.1 each
Teams E, F, G, and H: 0/10 = 0 each
The HHI for this scenario is calculated as:
HHI = \((0.4^2 + 0.4^2 + 0.1^2 + 0.1^2 + 0^2 + 0^2 + 0^2 + 0^2) \times 10,000\)
= 16,000
In both scenarios, the HHI is less than 1,800, which is considered a low level of market concentration. Therefore, we can conclude that both scenarios represent relatively competitive markets.
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(a+b)^3 ///////////////////////////
Answer:
What is the question you are asking?
Answer:
(a+b)³ = a³+b³+3ab(a+b)
Step-by-step explanation:
hope it's helpful to you ☺️
A school sports team sold candy bars to raise money for new uniforms. The table shows the amount of candy sold each week for three weeks.
Week Amount Sold
Week 1. 32%
Week 2. 8/25
Week 3. 17/51
For which weeks did the team sell the same amount of candy bars?
"A school sports team sold candy bars to raise money for new uniforms.", The team sold the same amount of candy bars at
Week 3. 17/51 or 0.33 Option C.
This is further explained below.
For which weeks did the team sell the same amount of candy bars?Generally, to give up something of worth in exchange for money or another commodity of value My brother bought the bicycle from him so that he could put it up for sale. The shop is a retailer of footwear. to be marketed or given a price The new product is doing quite well in the marketplace. Each one of them retails for one dollar.
In conclusion, The week with the highest percentage of sales is week three as
17/51>>8/25>>32%
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Question 2(Multiple Choice Worth 1 points)
(03.01 MC)
Simplity √10•√8•
O√18
04√5
O√80
08√10
The simplified form of the expression √10•√8 is 4√5.
Expression:
Expression refers the mathematical statements that have two terms at least that contain variables, numbers, or both.
Given,
Here we have the expression √10•√8.
Now we have to find the simplified form of these expression.
Now, we have to multiply the values inside the square root then we get,
=> √10 x √8 = √(10 x 8)
After the multiplication we can get,
=> √80
Now, we have to expand this as the following,
=> √16 x 5
We know that √16 is equivalent for 4²,
So, it can be written as,
=> √4² x 5
Now, we have to simplify this as,
=> 4√5
Therefore, the simplified expression is 4√5
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A figure is shown.
What is the measure, in degrees, of
PLEASE HELP ME
7(C - 18)= -98
Help ASAP
Answer:
\(C=4\)
Step-by-step explanation:
\(7(c-18)=-98\\7c \frac{-126}{+126}=\frac{-98}{+126} \\\frac{7c}{7}=\frac{28}{7}\\c=4\)
Explain with steps please and thank you! :)
Using the information in the given diagram, the value of the missing angle is: m∠1 = 75°
How to find the missing angle?The transverse line theorem states that If two parallel lines are cut by a transversal, then corresponding angles are congruent. Two lines cut by a transversal are parallel IF AND ONLY IF corresponding angles are congruent.
Now, when we draw a horizontal line parallel to lines a and b and directly cutting across the vertex of angle 1, we can see that angle 1 will be composed of two angles.
Now, for the transverse line theorem we can say that:
Angle 1 will be composed of two angles namely:
48 degrees and (180 - 153) degrees.
Thus:
m∠1 = 48° + 27°
m∠1 = 75°
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Complete the following statement.
Mac mixes 14 ounces of red paint with 6 ounces of blue paint. The ratio of blue paint to total paint is because for every 6 ounces of , there is 20 ounces of .
Answer:
The Ratio you are looking for is 5:8
Step-by-step explanation:
Answer:
6: azul
20: lila o morado
Find the volume of a rectangular prism with a length of 5cm and a height of 20cm, round to the nearest tenth of a cubic centimeter
Can someone help me please?
Answer:
5 1/6
Step-by-step explanation:
Kevin got the following scores on his math tests this semester.
85, 94, 98, 88, 85, 92, 97, 81
What is his mean score so far?
ANSWERED
What score will Kevin need to get on his next test to raise his mean score to exactly 91?
Kevin will need to get a score of 109 on his next test to raise his mean score to exactly 91.
To find out what score Kevin will need to get on his next test to raise his mean score to exactly 91, we can use the formula for the mean:
mean = (sum of all scores) / (number of scores)
We know the current mean score is:
mean = (85 + 94 + 98 + 88 + 85 + 92 + 97 + 81) / 8
= 89.5
To raise the mean to 91, we can set up the equation:
(85 + 94 + 98 + 88 + 85 + 92 + 97 + 81 + x) / 9 = 91
where x is the score Kevin needs to get on his next test.
Multiplying both sides of the equation by 9, we get:
85 + 94 + 98 + 88 + 85 + 92 + 97 + 81 + x = 819
Simplifying, we get:
710 + x = 819
Subtracting 710 from both sides, we get:
x = 109
Therefore, Kevin will need to get a score of 109 on his next test to raise his mean score to exactly 91.
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Simplify -3 1/9 - (-8 1/3)
let's firstly convert the mixed fractions to improper fractions and then proceed.
\(\stackrel{mixed}{3\frac{1}{9}}\implies \cfrac{3\cdot 9+1}{9}\implies \stackrel{improper}{\cfrac{28}{9}} ~\hfill \stackrel{mixed}{8\frac{1}{3}}\implies \cfrac{8\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{25}{3}} \\\\[-0.35em] ~\dotfill\)
\(-\cfrac{28}{9}~~ - ~~\left( -\cfrac{25}{3} \right)\implies -\cfrac{28}{9}~~ + ~~\left( \cfrac{25}{3} \right)\implies -\cfrac{28}{9} + \cfrac{25}{3} \\\\\\ \stackrel{\textit{using the LCD of 9}}{\cfrac{1(-28)~~ + ~~3(25)}{9}}\implies \cfrac{-28+75}{9}\implies \cfrac{-47}{9}\implies {\LARGE \begin{array}{llll} -5\frac{2}{9} \end{array}}\)
A train ticket from San Francisco to Las Vegas is fives times more expensive thana bus ticket. A train tickets costs $130. How much is the cost of a bus ticket?
train tickets costs: $130 (t)
Bus ticket cost: ? (b)
\(\frac{t}{5}=b\)\(\frac{130}{5}=b\)\(26=b\)the bus ticket cost $26
3. Pozfrescims nepibricoms
a) $5 x+8 ≤2-3 x
The value of x for the given inequality is always greater than and equal to -3/4.
In the given question we have to find the value of x.
The given inequality is 5x+8 ≤2-3x.
Now solving the given inequality.
To solve the inequality we firstly subtract 2 on both side, Then we equate the coefficient and variable in one side.
5x+8 ≤2-3x
Subtract 2 on both side, we get
5x+6≤-3x
Now subtract 5x on both side, we get
6≤-8x
Now divide by -8 on bot side, we get;
x≤-6/8
x≤-3/4
We change the inequality because the sign is changed.
Hence, the value of x for the given inequality is always greater than and equal to -3/4.
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C/2-3+6/D when c = 14 and d = 3
Answer:
im not entirely sure but i think 6
Step-by-step explanation:
14/2=7, 6/3=2, 7-3 is 4 and 4 + 2 is 6
Solving Division Story Problems: Tutorial
52 of 54
E Save & Exit
Geri ran in a marathon race. It took her 3 hours and 28 minutes to run
26 miles. how many minutes did it take her to run 1 mile if she ran at the
same rate for the whole race?
Answer the question below. Type your response in the
space provided.
(1 hour = 60 minutes)
Answer the question.
minutes
Clear
832 PM
O Type here to search
na do
Answer:
8 minutes
Step-by-step explanation:
Let t represent the time for one mile. We are told the ratio of minutes to miles is constant, so we have the proportion ...
time / distance = t/(1 mi) = (208 min)/(26 mi)
Multiplying both sides of the equation by (1 mi), we have ...
t = (208/26) min = 8 min
Geri's average pace was 8 minutes to run 1 mile.
can someone please help
Answer:
The measure of CD is 46
Step-by-step explanation:
From the midpoint theorem, we have,
FG = (1/2)CD
so,
\(13+5x=(1/2)(-3x+52)\\So,\\2(13+5x)=-3x+52\\26+10x=-3x+52\\13x=52-26\\13x=26\\x=26/13\\x=2\)
Now,
\(CD = -3x+52\\since \ x=2\\we \ get\\CD=-3(2) +52\\CD=-6+52\\CD=46\)
karla is offered a job as parking lot attendant. the job will pay 2400 per month, paid biweekly. along with the base salary, the company offers to pay half the cost of medical insurance and will match karlas contribution to a retirment plan up to a total of 1500. if the full cost of the medical insurance is 450 a month and karla plans to contribute the full 1500 every year tpa retirement plan, what is the actual annual value of this job to karla?
The actual annual value of this job to Karla is 33000.
What are arithmetic operations?
Arithmetic operations is a branch of mathematics that studies numbers and the operations on numbers that are useful in all other branches of mathematics. It consists primarily of operations like addition, subtraction, multiplication, and division.
We have,
the job will pay 2400 per month,
if the full cost of the medical insurance is 450 a month and Karla plans to contribute the full 1500 every year tpa retirement plan,
the actual annual value of this job to Karla is:
2400 per month
annual value = 2400 * 12 = 28,800
the medical insurance is 450 a month
half the cost of medical insurance is 225 a month
annual value = 225 * 12 = 2700
the full 1500 every year tpa retirement plan,
So, the total value is:
= 28,800 + 2700 + 1500
= 33000
Hence, the actual annual value of this job to Karla is 33000.
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PLEASE HELP 100 POINTS PLEASE HELP 100 POINTS The ratio between the number of students (s) on a field trip and the number of teachers (t) on the field trip is 21/4. There are 84 students going on a field trip. How many teachers must go?
Answer:
16 teachers.
Step-by-step explanation:
84 / 21 = 4
4 * 4 = 16
Hope this helped. Please give brainly if its the best!
Answer:
\( \huge \colorbox{blue}{16 students}\)
Step-by-step explanation:
we are given the ratio of students and teachers:
\( \displaystyle \: \frac{21}{4} \)
which means if the number of students is 21 then the number of teachers should be 4
to find how many teachers should go if students 84 we have to divide 84 by \(21/4\) :
\( \displaystyle \: 84 \div \frac{21}{4} \)
simplify division:
\( = \displaystyle \: 84 \times \frac{4}{21} \)
simplify multiplication:
\( = \displaystyle \: \cancel{ 84} \: ^{4} \times \frac{4}{ \cancel{21}} \\ = 4 \times 4 \\ = 16 \)
Point p is the centroid of jkl. Kr=72 and Pq=30 what is kp?
Answer:
B (48)
Step-by-step explanation:
One particular property of medians is the 2/3 ratio. Basically, the centroid separates the median into two line segments, and the longer line segment is 2/3 of the median length. So, 72 x 2/3 is 48.
what is the graph of f(x) = 5(2)^x
The graph of the function f(x) = 5(2)^x is an upward-sloping exponential curve that starts at (0, 5) and increases rapidly as x moves to the right, never crossing the x-axis.
The function f(x) = 5(2)^x represents exponential growth. Let's analyze its graph.
As x increases, the value of 2^x grows exponentially. Multiplying it by 5 further amplifies the growth. Here are a few key points to consider:
When x = 0, 2^0 = 1, so f(0) = 5(1) = 5. This is the y-intercept of the graph, meaning the function passes through the point (0, 5).
As x increases, 2^x grows rapidly. For positive values of x, the function will increase quickly. As x approaches positive infinity, 2^x grows without bound, resulting in the function also growing without bound.
For negative values of x, 2^x approaches zero. However, the function is multiplied by 5, so it will not reach zero. Instead, it will approach y = 0, but the graph will never touch or cross the x-axis.
The function is always positive since 2^x is positive for any value of x, and multiplying by 5 does not change the sign.
Based on these observations, we can conclude that the graph of f(x) = 5(2)^x will be an exponential growth curve that starts at (0, 5) and increases rapidly as x moves to the right, never crossing or touching the x-axis.
The graph will have a smooth curve that rises steeply as x increases. The rate of growth will be determined by the base, in this case, 2. The larger the base, the steeper the curve. The function will approach but never reach the x-axis as x approaches negative infinity.
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