Answers
The new coordinates of dilated rectangle by scale factor of 1/4 are J(1, 2), K(3, 2), L(3, 1), and M(1, 1) we can draw figure.
We are given the coordinates of the vertices of a rectangle J(4,8), K(12,8), L(12,4), and M(4,4).
To dilate the rectangle by a scale factor of 1/4, we need to multiply each coordinate by 1/4.
Multiplying each x-coordinate by 1/4
x-coordinate of J: 4 * 1/4 = 1
x-coordinate of K: 12 * 1/4 = 3
x-coordinate of L: 12 * 1/4 = 3
x-coordinate of M: 4 * 1/4 = 1
Multiplying each y-coordinate by 1/4
y-coordinate of J: 8 * 1/4 = 2
y-coordinate of K: 8 * 1/4 = 2
y-coordinate of L: 4 * 1/4 = 1
y-coordinate of M: 4 * 1/4 = 1
Therefore, the coordinates of the dilated rectangle are: J(1,2), K(3,2), L(3,1), and M(1,1).
Using these new coordinates, we can draw the dilated rectangle by plotting the four vertices on a coordinate plane.
The dilated rectangle has the same shape and orientation as the original rectangle, but it has been reduced in size by a scale factor of 1/4.
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Related Questions
Interpret Linear Function Coefficients (From Graph)
Answers
Remember that the equation of the line in slope-intercept form is equal to
y=mx+b
where
m is the slope
b is the y-coordinate of the y-intercept
In this context
we have
C=mt+b
step 1
Find out the slope
we need two points
looking at the graph
we take (0,100) and (1,150)
so
m=(150-100)/(1-0)
m=50 --------> that means $50 per month (monthly fee to remain a member)
the y-intercept is the value of y when the value of x is zero
in this context, the y-intercept is the cost C when the value of t is zero
b=100 ------> that means a one-time fee to join
substitute
C=50t+100and the slope is $50 per month (monthly fee to remain a member)What is an equivalent expression for 3(x-12)? *
O
3x-12
3x+12
O
3x-36
3x+36
Answers
3x - 36
Answer:
3x-36 is equivalent to 3(x-12)
Bethany has a photo website where she places photos that she has taken so others can see them. Below is how many likes each of her current photos were given: 10, 13, 15, 15, 17, 29 What is the average amount of likes each of her photos got? Hint: The average is your mean. 22 15 15.5 16.5
Answers
The average number of likes will be 16.5. the correct option is D.
What is a mean?Mean is defined as the ratio of the sum of the number of data sets to the total number of data. The mean is calculated by adding all the data points and dividing it by the total number of the data.
Given that Bethany has a photo website where she places photos that she has taken so others can see them. Below is how many likes each of her current photos was given: 10, 13, 15, 15, 17, 29.
The average will be calculated as:-
Mean = ( 10 + 13 + 15 + 15 + 17 + 29 ) / 6
Mean = 99 / 6
Mean = 16.5
Therefore, the average number of likes will be 16.5. the correct option is D.
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For his birthday , Aaron received four stamps for his collection . his collection already contained eight times that number of stamps. Before pasting the stamps into albums , Aaron divide them equally into three envelope. Which numerical expression models the number of stamps in each envelope? A 12÷3 B 4+32÷3 C (4+32)÷3 D 12×4÷4
Answers
Answer:
C
Step-by-step explanation:
Aaron received four stamps. He already had eight times as much. 32 + 4. Before pasting the stamps into albums, Aaron divides them equally into three envelopes. (32 + 4) ÷ 3.
6 minutes 20 seconds into seconds.
Answers
Answer:
380 seconds
Step-by-step explanation:
Convert 6 minutes to seconds by multiplying 6 times 60, because there are 60 seconds per minute.
6 x 60 = 360
Now add the 20 seconds.
360 + 20 = 380
6 minutes and 20 seconds are equal to 380 seconds.
2/3 divided by 4 and 1/6
Answers
Answer:
the answer is 0
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
2/3 divided by 4 and 1/6
Answer is 1
Find angles A, B, C and D
Answers
Answer: a=101 b=79 c=83 d=97
The difference of twice a number and 7 is 20. Find the number.
Answers
Answer:
twice the difference gives 2(difference). 7 = 14 20 = 40
Step-by-step explanation:
50% of 70
help! I don’t understand!!
Answers
Answer:
The answer is 35.
Step-by-step explanation:
50% means half of a number.
For example, 50% of 20 is 10, because half of 20 is 10.
In this situation, the number is 70.
Do 70 divided by 2.
The answer is 35.
Answer : 50% can be written as .50, so to get 50% of 70, you just need to multiply 70 by .50. This will give you 35. (The answer.)
Step-by-step explanation:
Any percent can be written as a decimal. Move the decimal point two places to the right to convert a percent to a decimal. For example, 25% to .25 and 50% to .50.
A teaching hospital in South-West Part of Nigeria receives on the average 5 pregnant women with high blood pressure per week. What is the probability that on a particular week, the teaching hospital will receive:
1.) No high BP pregnant woman
Answers
Answer:
The probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068
Step-by-step explanation:
We use the Exponential distribution,
Since we are given that on average, 5 pregnant women with high blood pressure come per week,
So, average = m = 5
Now, on average, 5 people come every week, so,
5 women per week,
so, we get 1 woman per (1/5)th week,
Hence, the mean is m = 1/5 for a woman arriving
and λ = 1/m = 5 = λ
we have to find the probability that it takes higher than a week for a high BP pregnant woman to arrive, i.e,
P(X>1) i.e. the probability that it takes more than a week for a high BP pregnant woman to show up,
Now,
P(X>1) = 1 - P(X<1),
Now, the probability density function is,
\(f(x) = \lambda e^{-\lambda x}\)
And the cumulative distribution function (CDF) is,
\(CDF = 1 - e^{-\lambda x}\)
Now, CDF gives the probability of an event occuring within a given time,
so, for 1 week, we have x = 1, and λ = 5, which gives,
P(X<1) = CDF,
so,
\(P(X < 1)=CDF = 1 - e^{-\lambda x}\\P(X < 1)=1-e^{-5(1)}\\P(X < 1)=1-e^{-5}\\P(X < 1) = 1 - 6.738*10^{-3}\\P(X < 1) = 0.9932\\And,\\P(X > 1) = 1 - 0.9932\\P(X > 1) = 6.8*10^{-3}\\P(X > 1) = 0.0068\)
So, the probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068
What kind of triangle has 105 degress?
Answers
Answer:
An Isosceles Triangle
Step-by-step explanation:
plz mark brainly
There are 6 triangles and 2 circles. What is the simplest ratio of circles to total shapes?
Answer 1:4
Answers
HELP ASAP ASAP PLEASE ASAP HELP BRAINLIEST
The histograms display the frequency of temperatures in two different locations in a 30-day period.
A graph with the x-axis labeled Temperature in Degrees, with intervals 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119. The y-axis is labeled Frequency and begins at 0 with tick marks every one unit up to 16. A shaded bar stops at 2 above 60 to 69, at 4 above 70 to 79, at 12 above 80 to 89, at 6 above 90 to 99, at 4 above 100 to 109, and at 2 above 110 to 119. The graph is titled Temps in Desert Landing.
A graph with the x-axis labeled Temperature in Degrees, with intervals 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119. The y-axis is labeled Frequency and begins at 0 with tick marks every one unit up to 16. A shaded bar stops at 2 above 60 to 69, at 4 above 70 to 79, at 9 above 80 to 89, at 9 above 90 to 99, at 4 above 100 to 109, and at 2 above 110 to 119. The graph is titled Temps in Flower Town.
When comparing the data, which measure of variability should be used for both sets of data to determine the location with the most consistent temperature?
IQR, because Desert Landing is skewed
IQR, because Desert Landing is symmetric
Range, because Flower Town is skewed
Range, because Flower Town is symmetric
Answers
The correct option is "IQR, because Desert Landing is skewed."
What is skewed?Skewness is a term used in statistics to describe the degree of asymmetry of a probability distribution or a dataset. If a dataset is skewed, it means that the distribution of the data is not symmetrical.
According to question:To determine the location with the most consistent temperature between the two sets of data, we should use the IQR (Interquartile Range) measure of variability. This is because the IQR is a measure of the spread of the middle 50% of the data, which is a good measure of variability for skewed data such as the data from Desert Landing.
In the case of Flower Town, the range measure of variability could also be used, but it is generally less robust than the IQR and can be affected by extreme values. The symmetry of the histograms does not necessarily determine which measure of variability should be used.
Therefore, the correct option is "IQR, because Desert Landing is skewed." This is because the IQR is a robust measure of variability that is less affected by extreme values and is suitable for skewed data. The data from Desert Landing is skewed, while the data from Flower Town is not specified as being skewed or symmetric, so the IQR is the best choice for both sets of data.
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2(a -3) + 4b - 2(a -b -3) + 5
simplify
Answers
Answer:
Simplify the expression.
6 b + 5
Step-by-step explanation:
I hope this helps! Have a great day!
Answer:
6b+5
Step-by-step explanation:
2(a-3)+4b-2(a-b-3)+5
=2a-6+4b-2a+2b+6+5
the 2as and the 6s canel out so we are left with
6b+5
Which graph represents the following piecewise defined function?
Answers
The graph that represents the given piecewise function has a range of
R: (-∞, 0) ∪ (0,2] ∪ (4, ∞).
What is a piecewise function?A piecewise function is a combination of subfunctions that are defined with different intervals in the domain.
The range of the piecewise function is the union of all the ranges of the subfunctions.
Calculation:The given piecewise function is
g(x) = x², x < 0
= 1/2 x, 0 < x ≤ 4
= x, x > 4
The domain and range for the subfunctions in the given piecewise function are:
for g(x) = x²; Domain is {x < 0} and Range is (-∞, 0)
for g(x) = 1/2 x; Domain is {0 < x ≤ 4} and Range is (0, 2]
for g(x) = x; Domain is {x > 4} and Range is (4, ∞)
Then, the range of the given piecewise function is
Range: (-∞, 0) ∪ (0, 2] ∪ (4, ∞)
Thus, the graph shown in the question is the correct one.
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Answer: c, its da 3rd graph
Step-by-step explanation:
Each side of a hexagon is 10 inches longer than the previous side. What is the length
of the shortest side of this hexagon if its perimeter is 401 inches?
Answers
Answer:
The length of the shortest side of the pentagon would be:
40.2
What’s a cows favorite type of math?
Answers
Answer:
mooltiplication
The solution is, Multiplication is a cows favorite type of math.
What exactly is the Purple Cow Poem about?Gelett Burgess, author of The Purple Cow (1866–1951), I've never seen a Purple Cow and I've never hoped to; nevertheless, I can tell you that I'd much prefer see than be one. Death is a definite fact and a guarantee of life. Despite his unflinching devotion, Andrew Hudgins admits that the cow will inevitably die when it becomes feeble since he will slaughter it in stanza three. When she becomes too weak to provide us with fresh cream, we will cut her scarlet throat. Gelett Burgess, an American author, wrote a brief nonsensical poem titled "Purple Cow." In 1895, it was first printed.
here, we have,
In an experimental setup the independent variable is the one which can be changed and manipulated in an experiment the effect of which is observed on the dependent variable (s). The dependent variable is the one which cannot be manipulated in an experiment instead the changes occurring in a dependent variable are because of the manipulation of the independent variable. The dependent variable represents the outcome of the experiment.
According to the given situation, type of feed is the independent variable this is because of the fact that the there were two type of feeds were used one was experimented feed other was regular feed. The effect of both type of feeds has been observed on the weight of the cow which is the dependent variable.
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Show that the angle bisector of an equilateral triangle is perpendicular to the base
Answers
To show that the angle bisector of an equilateral triangle is perpendicular to the base, we can assume an equilateral triangle with sides ABC. Next, we can get an angle bisector in the middle represented by BD which becomes perpendicular to the base BC.
How to prove that the angle bisector is perpendicular to baseAfter getting the angle bisector, we would see that the line segment BD, divides angle BAC into two equal angles, each measuring 30 degrees. Now, we can draw a perpendicular line from point D to the base BC.
We could also draw a line E, which is the perpendicular line that intersects the base BC. We want to show that BD is perpendicular to BC, which means we need to show that angle BDE is a right angle.
Since the sum of angles BDA and ADE is 90 degrees (they form a right angle), and the sum of angles BAD, ABD, and BDA is 180 degrees, it follows that angle BDE must be a right angle.
Therefore, we have shown that the angle bisector of an equilateral triangle is perpendicular to the base.
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The minimum value of h(x) is 2 *
h(x) = 3(x + 1)^2 – 2
True or
False???
Answers
9514 1404 393
Answer:
False
Step-by-step explanation:
The minimum value is -2.
A cyclist rides her bike at a speed of 12 miles per hour. What is this speed in kilometers per hour? How many kilometers will the cyclist travel in 5 hours? In your computations, assume that 1 mile is equal to 1.6 kilometers. Do not round your answers.
PLS HELP
Answers
Answer:
answers below :)
Step-by-step explanation:
Hi there!
with a ratio of 1:1.6, we can find these answers.
1. 19.2 km, multiply 12 by 1.6
2. 96. km, multiply 12 by 6 to find the total amount of miles traveled, then
multiply 60 by 1.6 to get 96.
I hope this helps!
Answer for brainliest
Answers
x has to be less than 6
If you invest $7,890 at a 5.65% simple annual interest rate, approximately how long will it take for you to have a total of $15,000? Show work
Answers
Answer: It will take 16 years to have a total of $15,000.
Step-by-step explanation:
Given : Principal value = $ 7,890
Rate of interest = 5.65 % = 0.0565
Amount = $ 15000
Interest = Principal x Rate x time
Amount = Principal + Interest
Amount = Principal + Principal x Rate x time
Amount = Principal ( 1 + Rate x time )
Substitute values, we get
\(15000 = 7890 (1+0.0565 \times t)\) [ t = time ]
\(\dfrac{15000}{7980}=1+0.0565t\\\\\Rightarrow\ 0.0565t = \dfrac{15000}{7980}-1\\\\\Rightarrow\ 0.0565t =\dfrac{117}{133}\\\\\Rightarrow\ 0.0565t =0.87969924812\\\\\Rightarrow\ t=\dfrac{0.87969924812}{0.0565}\\\\\Rightarrow\ t=\dfrac{0.87969924812}{0.0565}\\\\\Rightarrow\ t\approx16\text{ years}\)
Hence, it will take 16 years to have a total of $15,000.
In 92,542 what’s ten times that amount
Answers
Answer:
945,420
Step-by-step explanation:
Find the area of the baby blue part of the figure
Answers
Answer:
64 m
Step-by-step explanation:
Solve for X in the questions
Answers
Step-by-step explanation:
x = 360°- (90°+36°+36°)
= 360 - (162°)
= 198°
___________
\( \: \)
Step by step :PQR = 360°
QR = 90°
PQ = 36°
RX = 36°
Soo :
x = 360° - (90° + 36° × 2)
x = 360° - (90° + 72°)
x = 360° - (162)
x = 198°✔
Please help, and explain step by step, thanks!
Both attachments are part of the same problem
Answers
Answer:
Answer: B San Francisco
Step-by-step explanation:
It can be read that Geneva is 12°C colder than Nikki's hometown. It can be seen in the table that Geneva is at -3°C.
This means that Nikki's hometown is 12°C hotter than Geneva, thus:
Temperature of Nikki's hometown = -3°C + 12°C = 9°C.
The only city with a temperature of 9°C is San Francisco.
Answer: B San Francisco
what is 4021 divided by 68
Answers
Answer:
4021/68 = 59.13
Step-by-step explanation:
Hope this helps you out!!!
Answer: 59.1323529412
Step-by-step explanation:
Helppppppppppppp please
Answers
Answer:
D
Step-by-step explanation:
It's D for sure
like - - = +
Answer:
D
Step-by-step explanation:
-(-x)=+(x)
--x=+x(x isn't -)
--x=-x(x=minus)
WILL GIVE BRAINLIEST PLEASE HELP!!!!
A cat runs 10 meters north, sees a dog and runs 2 meters back south. It then runs 6 meters west. What is the displacement of the cat and the total distance it ran?
Answers
Answer:
The cat is at at 8 north 6 west
Step-by-step explanation:
The cat ran a total of 14 meters
Find the unit rate (constant of proportionality) of the distance traveled.
Number of hours
0.25 1.5 2.5 3
Distance traveled (km) 3 18 30 36
Answers
Answer:
12.
Step-by-step explanation:
if to re-write the given condition, then
\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)
it is clear, the required constant is 12 (12 per hour).