The rule that describes the translation will be as T<-3, 2>
Given,
Translation;-
Translation is the act of moving a shape or a figure from one location to another. A figure can move in translation up, down, right, left, or anywhere else in the coordinate system. Only the object's position changes during translation; its size stays the same.
Here,
In order to move from A = (-3,3) to A' = (-6, 5), we must first move 3 units to the left and 2 units up.
Step 1's change causes x to become x-3.
Step 2's change causes y to become y+2.
When you combine these, (x, y) becomes (x-3, y+2).
That is equivalent to writing T<-3, 2>.
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The population of a city was 10,000 in 2010. The population increase at an annual rate of 2.5% per year. Is the growth model function that represents the population of the city linear?
Answer:
The growth model that represents the population of this city is not linear--it is exponential:
\(f(t) = 10000( {1.025}^{t} )\)
\(t = 0 \: represents \: 2010\)
A jewelry designer is making identical bracelets. She has
21 blue beads and 14 red beads. What is the greatest number of bracelets she can make using all of the beads?
Answer
great common factor of 14 and 21 is 15. so your answer is 15
How do I find the answer to this question?
Answer:
you see
Step-by-step explanation:
the derivative of a sum of two functions is different than the sum of the derivatives of thw two functions?
Answer:
Step-by-step explanation:
False.
If
g(x) = f1(x) + f2(x)
then
g'(x) = f1'(x) + f2'(x),
i.e.
the derivative of a sum equals the sum of the derivatives.
through: (2, -5), perp. to y= 1/4x+5
A bus travels from Boston to New York 220 miles. The bus departs at 2pm and arrives at new York at 7pm. what's the average speed?
Alok started a business investing Rs 90, 000. After three
months Prabir joined him with capital of Rs 1,20000
If at the end of 2 years, the total profit made
by them was
Rs 96,000 what will the difference
between Alok and Prabir's share in it?
The difference between Alok and Prabir share exists 8000.
What will the difference between Alok and Prabir share?Given: Invested by Alok = Rs 90, 000
Invested by Prabir = Rs 1,20000
The time period of Alok = 3 months
The time period of Prabir = 2 years
They earn a profit = Rs 96,000.
Profit exists directly proportional to the product of the amount invested and the time period of investment.
8000 = 90000 \(*\) 24/120000 \(*\) 21
= 5/7
5x + 7x = 96000
x = 8000
first = 40000
second = 48000
so the difference exists at 8000.
The difference between Alok and Prabir share exists 8000.
Therefore, the correct answer is 8000.
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Neetu said that the sum of −8+d is always positive when the value of d is greater than 0.
• Is Neetu’s statement always true, sometimes true or never true?
Answer:
neetu's statement is sometimes true
Step-by-step explanation:
We are told that Neetu said the sum of −8 + d is always positive when the value of d is greater than 0.
Values of d that are greater than zero is a set of positive real numbers like 1,2,3....
Now, using d = 1, we will get;
-8 + 1 = -7
We can see that we got a negative number.
Using d = 2,we have; -8 + 2 = - 6
Again we got a negative number.
Now, by inspection, we will keep getting negative numbers until d = 7.
Thus, neetu's statement is not true for 0 < d < 8
Now,let's try d above 8. Let's use d = 9.
-8 + 9 = 1
This means from d > 8 and above we have the results as positive. Thus, neetu's statement is always true for d > 8
In summary, neetu's statement is sometimes true
A travel agent makes the hypothesis:
More holiday refunds are given in the winter than in the summer.
a) Use the information in the bar chart to work out:
- i) the mean number of refunds given in the summer.
- ii) the mean number of refunds given in the winter.
b) Does your answer to part a) support the hypothesis or not?
a)
i) The mean number of refunds given in the summer is 21.
ii) The mean number of refunds given in the winter is 20.
b) The answer to part a) does NOT support the hypothesis.
How is this so?To calculate the mean number of refunds given in the summer and winter,we need to find the average of the values for each season over the given years. Let's calculate -
a) Mean number of refunds given in the summer -
(20 + 15 + 10 + 15 + 32 + 34) / 6
= 126 / 6
= 21
b) Mean number of refunds given in the winter -
(24 + 10 + 15 + 18 + 26 + 27) / 6
= 120 / 6
= 20
The mean number of refunds given in thesummer is 21, and the mean number of refunds given in the winter is 20.
b) Based on the calculated means, the answer to part a) does NOT support the hypothesis.
The mean number of refunds given in the summer (21) is greater than the mean number of refunds given in thewinter (20), indicating that more refunds are given in the summer than in the winter, contrary to the hypothesis.
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Point N is on line segment MO. Given NO = 14 and MO = 18, determine the length MN.
Find the missing terms.
3, _____, _____, 21 (arithmetic)
Answer:
Hello There!!
Step-by-step explanation:
The answer is 3,9,15,21.
hope this helps,have a great day!!
~Pinky~
Answer:
the common difference is 6. So, the missing two terms are 9 and 15 using
3 + (n-1)(6)
List 5 examples of identity functions
Answer:
noob dsbhsaghcfddguhfcc
Solve for x. You must show all of your work to receive credit.
Answer:
x = 6
Step-by-step explanation:
suppose that prices of a gallon of milk at various stores in one town have a mean of $3.55 with a standard deviation of $0.14 . using chebyshev's theorem, what is the minimum percentage of stores that sell a gallon of milk for between $3.27 and $3.83 ? round your answer to one decimal place.
Therefore, the minimum percentage of stores that sell a gallon of milk for between $3.27 and $3.83 is 75%, rounded to one decimal place.
What is standard deviation?Standard deviation is a measure of the amount of variation or dispersion in a set of data values. It measures how spread out the data is from the mean or average value. A low standard deviation indicates that the data is closely clustered around the mean, while a high standard deviation indicates that the data is more spread out. It is calculated as the square root of the variance, which is the average of the squared differences from the mean.
Here,
Chebyshev's theorem states that for any dataset, regardless of its distribution, at least 1 - 1/k² of the data will fall within k standard deviations of the mean, where k is any positive number greater than 1. To find the minimum percentage of stores that sell a gallon of milk for between $3.27 and $3.83, we can first find how many standard deviations away from the mean these prices are:
$3.27 is (3.27 - 3.55)/0.14 = -2 standard deviations from the mean
$3.83 is (3.83 - 3.55)/0.14 = 2 standard deviations from the mean
Thus, the distance between $3.27 and $3.83 is 4 standard deviations (2 in each direction).
Using Chebyshev's theorem with k = 2 (since we want to know the minimum percentage within 2 standard deviations), we have:
=1 - 1/2²
= 1 - 1/4
= 0.75
This means that at least 75% of stores sell a gallon of milk for between $3.27 and $3.83.
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Q8)
Part of a regular polygon is shown below. Each interior angle is 150°. (4
150°
Diagram not
accurately drawn
Calculate the number of sides of the polygon.
Answer:
12 side polygon
Step-by-step explanation:
Interior angle of n side regular polygon: = ((n-2)x180)/n
((n-2)x180)/n = 150
(n-2)x180 = 150n
180n - 360 = 150n
30n = 360
n = 12
check: (12-2)x180/12 = 150
Answer:
The polygon has 12 sides (a dodecagon).
Step-by-step explanation:
Angles in a Regular Polygon
A polygon with n sides has a total sum of internal angles equal to 180°(n-2). This means that each angle (in a regular polygon) measures
\(\displaystyle \frac{180(n-2)}{n}\)
We are given the interior angle of 150°, thus:
\(\displaystyle \frac{180(n-2)}{n}=150\)
Multiplying by n:
\(\displaystyle 180(n-2)=150n\)
Operating
\(\displaystyle 180n-360=150n\)
Rearranging and simplifying:
\(\displaystyle 180n-150n=360\)
\(\displaystyle 30n=360\)
\(n=360/30=12\)
n = 12
The polygon has 12 sides (a dodecagon).
ANSWER AS QUICK AS POSSIBLE WILL GET BRAINIEST!!!!!
:Which equation can be used to calculate the area of shaded triangles in the figure below:
A, 2 (12 x 4) = 96 feet.
B, 1/2 (12 x 4) = 24 square feet.
C, 2(12+4)=32 square feet
D, 1/2(4+12)= 8 square feet
Answer: da vinkiy
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
4 x 12
then divide by 2
which can also be known as mult 1/2
Please answer the question CORRECTLY with a logical explanation. You will get brainliest guaranteed.
Answer:
Irrational
Step-by-step explanation:
Prime numbers are numbers that only have the factors of one and itself. Rational numbers include all numbers except for non terminating, non repeating decimals. An imaginary number is a number that is expressed in terms of the square root of a negative number (usually the square root of −1, represented by i or j).
Shelby has x number of clothing items on her bed. She will hang 21 of the items in her closet
and will drop off of the remaining items to a local donation center. Write a function to
represent the number of items Shelby will donate as a function of x, the number of clothing items
on her bed.
Answer:
F(x)1/3x-7
Step-by-step explanation:
f(x)=(x-21)x1/
=/x-21
The number of items Shelby will donate as a function of x is f(x)=x-21.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
A function from a set X to a set Y allocates precisely one element of Y to each element of X. The set X is known as the function's domain, while the set Y is known as the function's codomain.
Given that Shelby has x number of clothing items on her bed. She will hang 21 of the items in her closet and will drop off of the remaining items to a local donation center. Therefore, we can write,
Total number of clothes = x
Number of clothes she will keep in her closet = 21
Now, the function can be written as,
Function(x) = Number of items Shelby will donate
f(x) = x - 21
Hence, the number of items Shelby will donate as a function of x is f(x)=x-21.
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If f(x) = 4x – 8 and g(x) = 5x + 6, find (f - g)(x).
Answer:
(f - g)(x) = -x - 14
Step-by-step explanation:
Step 1: Plug in equations
4x - 8 - (5x + 6)
Step 2; Distribute negative
4x - 8 - 5x - 6
Step 3: Combine like terms
-x - 14
Answer:
-x-14
Step-by-step explanation:
Hope this helps
Use the histogram to answer the following questions.
Frequency
The frequency of the class 90-93 is
The frequency of the class 94-97 is
This means that a total of
5.5
5
4.5
Your answers should be exact numerical values.
The frequency of the class 86-89 is
86
94
90
Duration of Dormancy (minutes)
dormancy periods were recorded.
The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.
The total number of periods is given as follows:
5 + 6 + 4 = 15.
The frequency of each class is given as follows:
86 - 89: 5/15 = 1/3.90 - 93: 6/15 = 2/5.94 - 97: 4/15.Learn more about the concept of probability at https://brainly.com/question/24756209
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\(14- z=11\)
Thx!
Answer:
z = 3
Step-by-step explanation:
\(14 - z = 11\)
\( - 11 = 11 - 14\)
\( - z = - 3\)
\(\boxed{\green{z = 3}}\)
\(14 - z = 11 \\ \\ z = 11 + 15 \\ \\ z = 26\)
Hope it help youThe Fahrenheit temperature readings on 66 Spring mornings in New York City are
summarized in the table below. Construct and label a frequency histogram of the data
with an appropriate scale.
Temp (°F) Number of Days.
30-39
2
40-49
26
50-59
28
60-69
8
70-79
2
Graph answer Click and drag to make a rectangle. Click a rectangle to delete it.
To construct a frequency histogram based on the given temperature data, we will use the temperature ranges as the x-axis and the number of days as the y-axis.
The temperature ranges and their corresponding frequencies are as follows:
30-39: 2 days
40-49: 26 days
50-59: 28 days
60-69: 8 days
70-79: 2 days
To create the histogram, we will represent each temperature range as a bar and the height of each bar will correspond to the frequency of days.
Using an appropriate scale, we can label the x-axis with the temperature ranges (30-39, 40-49, 50-59, 60-69, 70-79) and the y-axis with the frequency values.
Now, we can draw rectangles (bars) on the graph, with the base of each rectangle corresponding to the temperature range and the height representing the frequency of days. The height of each bar will be determined by the corresponding frequency value.
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In the diagram below, FC = 10.9,
DE = 17.5, and DF = 13.1. Find the
length of EB. Round your answer to the
nearest tenth if necessary.
D
F
E
C
B
The length of EB is approximately 14.6 units when rounded to the nearest tenth.
To find the length of EB, we can use the property of similar triangles in this diagram. By looking at triangle DFE and triangle CFB, we can see that they are similar triangles.
Using the similarity ratio, we can set up the proportion:
DF / CF = DE / EB
Plugging in the given values, we have:
13.1 / 10.9 = 17.5 / EB
To find EB, we can cross-multiply and solve for EB:
13.1 * EB = 10.9 * 17.5
EB = (10.9 * 17.5) / 13.1
EB ≈ 14.6
Therefore, the length of EB is approximately 14.6 units when rounded to the nearest tenth.
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Five more than three times a number is three hundred five. Find the number A 45 ca B 70 С 60 D 50
Let be "x" the number mentioned in the exercise.
You need to remember that:
- "More than" indicates an Addition.
- The word "Times" indicates Multiplication.
- "Is" indicates that you must use this sign:
\(=\)Then, knowing that, you can set up the following equation using the information given in the exercise:
\(3x+5=305\)Now you can solve for "x" in order to find the number:
\(undefined\)Diego pays $4.50 for 3 pound of bananas and 2 pounds of oranges. One pound of oranges costs $0.75 more than one pound of bananas. Let b represent the price per pound of bananas . which equation represents the situation, and what is the price per pound of each fruit?
Answer:
D. 3b + 2(b + 0.75) = 4.50; $0.60 per pound of bananas, $1.35 per pound of oranges
Step-by-step explanation:
Price per pounds of bananas = b
Price per pound of oranges = b + $0.75
Diego buys:
3 pounds of bananas = 3(b) = 3b
2 pounds of oranges = 2(b + 0.75)
Amount paid by Diego is expressed as:
3b + 2(b + 0.75) = 4.50
To find the price per pound of each fruit, use the equation above to find the value of b:
3b + 2b + 1.50 = 4.50
Combine like terms
5b + 1.50 = 4.50
5b + 1.50 - 1.50 = 4.50 - 1.50
5b = 3
5b/5 = 3/5
b = 0.6
Price per pound of banana = b = $0.6
Price per pound of oranges = b + $0.75
Plug in the value of b
= $0.6 + $0.75
= $1.35
Determine which of the following statements is NOT correct
THe statement that is not correct is the first one
Wayward shoes spends $13 making each pair of its slip-on sneakers. Last week, they sold 95 pairs of these sneakers for $45 each. How much profit did Wayward shoes make last week.
Answer:
$3040 profit made
Step-by-step explanation:
$13×95=$1235 cost to make all the shoes they sold
$45×95=$4275 money she made
$4275-$1235=$3040 profit
J(x) = 220/x^3 and j-x)=220/(-x)^3
Answer:
Option (A)
Step-by-step explanation:
If a function 'f' is an odd function,
f(-x) = -f(x)
If a function 'f' is an even function,
f(-x) = f(x)
In this question given function is,
f(x) = \(\frac{220}{x^3}\)
To check the given function is odd or even,
f(-x) = \(\frac{220}{(-x)^{3} }\)
= \(-\frac{200}{x^{3}}\)
Therefore, from the definition of even and odd functions,
Function 'f' is an odd function.
Option (A) will be the correct option.
A group of friends were working on a student film. They spent $182 on equipment, which was 26% of their total budget. What was the total budget for their student film?
I'm not sure about this question, can some please help, I will make sure to mark you brainliest! Also if you help me I give a big amount of points!
Answer:
47.32
Step-by-step explanation:
solve 4n-6(n+1)>12 (first blank is the inequality sign, second blank is the value) n
The solution to the inequality expression is n < -9
How to solve the inequality expression?The inequality expression is given as
4n - 6(n + 1) > 12
Open the bracket in the above inequality expression
4n - 6n - 6 > 12
Evaluate the like terms
-2n > 18
Divide both sides by -2
n < -9
Hence, the solution to the inequality expression is n < -9
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