Answer:
Triangle P' Q' R' is half the size of the original triangle.
-The scale factor is probably 1/3.
Part B: P'(1, −2), Q'(0, 3), and R'(−1, 0).
Part C: No, the triangles are not congruent. If the second triangle didn't have a dilation, and instead have a reflection of the first triangle, then it would be congruent.
Step-by-step explanation:
:)
What is the factored form of the expressions 4x2 - 25?
Answer:
Explanation: Realize that 4x2−25 is a difference of squares. Differences of squares, such as a2−b2 , can be factored into (a+b)(a−b) . Since 4x2=(2x)2 and 25=(5)2 , we can say that 4x2−25=(2x+5)(2x−5)
Step-by-step explanation:
Answer:
(2x + 5)(2x - 5)
Step-by-step explanation:
a² - b² = (a + b)(a - b)
4x² = 2²x²= (2x)²
25= 5* 5 = 5²
4x² - 25 = (2x)² - 5² {a= 2x ; b = 5}
= (2x + 5)(2x - 5)
Nia increased her class average by 3%. She now has a 92% in her math class.
Nia's original class average was 89%. After increasing it by 3%, she now has a 92% in her math class.
1. Let's assume Nia's original class average was X.
2. She increased her class average by 3%, which can be represented as X + (3/100)X.
3. According to the question, X + (3/100)X = 92.
4. Simplifying the equation, we have (103/100)X = 92.
5. To find X, we divide both sides of the equation by (103/100): X = (92 * 100) / 103.
6. Calculating the value, X ≈ 89.32.
7. Therefore, Nia's original class average was approximately 89.32%.
8. After increasing it by 3%, her new class average is 89.32% + (3/100) * 89.32% ≈ 92%.
Note: The values have been rounded for simplicity.
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Do,k= (0,2) (0,6) the scale factor is
3
0
1/3
Answer:
Step-by-step explanation:
3
Please help due two days ago helpp me please Which measure of center is the most appropriate for the data in Table 1 (Height) in Task 1? Give a reason for your answer. calculate the value of the most appropriate center value of the heights.
Answer:
I think the correct answer is....... The measure of center for table 1 is 61, 62, 58, and 57 inches. The most kids had the same number of inches in this category.
I'm not 100% sure so try at your own risk
Have a great day!
The center of measures of table 1 height (task1) are Mean of heights of siblings are 58.29. Median of the height of 24 siblings are 61.5. Mode of the height 24 siblings 57,58,61,62 are the heights in inches.
What is Measures of center?
Measures of center of data set is also "a way of describing data set. The two most widely used measures of the center is mean and median".
What is mean?
Mean is the process of "adding all values and then divided by total number of values".
What is median?
Median is the "process of arranging data value in ascending or descending order and then divided data set into two if 'n' is odd then middle point is the median or if 'n' is even then sum of two mid value and then divided by two".
What is Mode?Mode can be one, "two or more in the given data set. The number or data point which have more frequency is taken as mode".
According to the question,
Measures of center is the most appropriate for the data in Table 1 (Height) in Task 1.
Heights in inches Frequency
55 1
57 3
58 3
59 2
60 1
61 3
62 3
63 2
64 2
65 2
66 1
67 1
Total number of frequency = N = 1+3++3+2+1+3+3+2+2+2+1+1 =24. Number of siblings n =12
Mean = ∑(Height of inches × Frequency of height)/Total number of frequency.
= [tex]\frac{(55*1+57*3+58*3+59*2+60*1+61*3+62*3+63*2+64*2+65*1+66*1+67*1)}{24}[/tex]
= [tex]\frac{1399}{24}[/tex]
= 58.29.
Mean of heights of siblings are 58.29
Median of the height of 24 siblings are sum of 61 and 62 divided by 2.
= [tex]\frac{61+62}{2}[/tex] [since 'n' is odd]
=61.5.
Median of the height of 24 siblings are 61.5.
Mode of the height 24 siblings 57,58,61,62 are the heights in inches.
Hence, the center of measures of table 1 height (task1) are Mean of heights of siblings are 58.29. Median of the height of 24 siblings are 61.5. Mode of the height 24 siblings 57,58,61,62 are the heights in inches.
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The last time you bough pizza, 3 pizzdis was enough for 7 people. At that rate, how
many pizzas should you buy for a party for 35 people.
Answer:
15 pizzas.
Step-by-step explanation:
The rate is 3 pizzas for every 7 people. If there are 35 people at the party (7 times 5), the amount of pizzas you should buy is 15 pizzas (3 times 5). Hope I explained that well (^^'')
Consider the sequence of functions fr : [0,1] → R defined recursively by fo(x) = 1, fn(x) = Vxfn-1(x), n > 1. Prove that the sequence converges on [0, 1] and that the convergence is uniform.
For the sequence of functions fr : [0,1] → R defined recursively by fo(x) = 1, fn(x) = Vxfn-1(x), n > 1, the sequence converges on [0, 1] and the convergence is uniform.
First, we need to show that the sequence is pointwise convergent. To do that, we take an arbitrary x ∈ [0,1] and use induction on n to prove that fn(x) is convergent.
Let A = sup{f1(x), 1}
Since f1(x) = √x ≤ 1, there exists a decreasing sequence (an) such that f1(x) ≤ an ≤ 1 for all n.
Noting that an → √A (since an is decreasing and bounded below), we have:
fn(x) = √x*fn-1(x) ≤ √A * fn-1(x)
Now, by induction, we have:
f2(x) ≤ √A * f1(x) ≤ √A * a1 ≤ √Afn(x) ≤ √A * fn-1(x) ≤ √A * an-1 ≤ A for all n.
So, by the squeeze theorem, fn(x) is convergent and since this holds for all x, the sequence is pointwise convergent.
We need to show that the sequence is uniformly convergent on [0,1].
Let ε > 0 be arbitrary and let N be such that |an - A| < ε/2 for all n > N.
Let M be such that 1/M < ε/2.
We want to show that |fn(x) - A| < ε for all x ∈ [0,1] and all n > N.
If n ≤ N, then we can write:
|fn(x) - A| ≤ |f
n(x) - an| + |an - A| < ε for all x ∈ [0,1].
So, assume n > N. Then we have:
|fn(x) - A| = |fn(x) - an + an - A| ≤ |fn(x) - an| + |an - A| < ε/2 + ε/2 = ε for all x ∈ [0,1] by the definition of N and M.
Therefore, the sequence is uniformly convergent on [0,1].
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(a) what is the effect on the period of a pendulum if you double its length?
If we double the length of the pendulum, the period of the pendulum will be approximately 1.4 times longer than it was before. This relationship between the length and period of a pendulum is very important, as it allows us to calculate the length of a pendulum needed to produce a desired period. This relationship is also used in many applications, such as clocks and metronomes.
The period of a pendulum is the time it takes to swing back and forth through one complete cycle. The period of a pendulum is affected by the length of the pendulum, the acceleration due to gravity, and the amplitude of the swing. If the length of a pendulum is doubled, the period of the pendulum will also double. The reason for this is that the period of a pendulum is directly proportional to the square root of its length.
This means that if the length of the pendulum is increased by a factor of 2, the period of the pendulum will increase by a factor of sqrt(2).
Mathematically, this can be expressed as: T = 2π * sqrt(L/g).
Where T is the period of the pendulum, L is the length of the pendulum, and g is the acceleration due to gravity.
If we double the length of the pendulum (L), the equation becomes T = 2π * sqrt(2L/g).
Taking the ratio of the new period to the original period, we get: T_new/T_old = sqrt(2).
Therefore if we double the length of the pendulum, the period of the pendulum will be approximately 1.4 times longer than it was before. This relationship between the length and period of a pendulum is very important, as it allows us to calculate the length of a pendulum needed to produce a desired period. This relationship is also used in many applications, such as clocks and metronomes.
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Which of the following functions are of exponential order c? Find c, if the answer is yes. (a) y(t) = 5t? + 24 +1. (b) y(t) = sin(31) (c) y(t) = 42 y(t) = 93 (e) y(t) 12 if t = 3 gift 3 (1) y(t) = coste
(a) Not of exponential order.
(b) Not of exponential order.
(c) Exponential order with c = 2.
(d) Not of exponential order.
(e) Not of exponential order.
To determine if a function is of exponential order, we need to check if there exist positive constants M and c such that |y(t)| ≤ M[tex]e^{ct}[/tex] for all t ≥ t₀, where t0 is some starting point.
Let's analyze each function:
(a) y(t) = 5t² + 24 + 1
This function is not of exponential order since it contains a quadratic term (t²) and does not satisfy the exponential order condition.
(b) y(t) = sin(3t)
The sine function is periodic and oscillates between -1 and 1. It is not bounded by an exponential function. Therefore, it is not of exponential order.
(c) y(t) = 4[tex]e^{2t}[/tex]
The exponential function [tex]e^{2t}[/tex] grows exponentially as t increases. The constant multiplier 4 does not affect the exponential growth. Therefore, this function is of exponential order with c = 2.
(d) y(t) = [tex]e^{t^{2} }[/tex]
The exponent t² grows faster than any exponential function with a constant base. Therefore, this function is not of exponential order.
(e) y(t) = cost [tex]e^{3t}[/tex]
The exponential function [tex]e^{3t}[/tex] grows exponentially as t increases. However, the cosine function oscillates between -1 and 1, which prevents the overall function from being bounded by an exponential function. Therefore, it is not of exponential order.
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Find the equation of the line pls helppppppp
Answer:
y=2x+4
Step-by-step explanation:
y=2x+4
Answer:
y = 2x + 4
Step-by-step explanation:
The formula for the equation of a line is y = mx + b, where m is the slope and b is the y-intercept. The y-intercept is where the line passes through the y-axis, which would be (0,4), which is positive. To find the slope, find where the line passes through a point, and then count how many units there are till the next point. For this example, you could start from the y-intercept, (0, 4) and to get to the next point, you will go up 2 units, and the right 1 unit. This means that the slope is 2/1 (because it's rise over run) which is the same as 2. So just plug it into the equation, and you get y = 2x + 4.
I hope this helped! :)
PLEASE ANSWER THIS ASAP I WILL MARK YOU THE BRAINLIEST
SHOW YOUR WORK!!!
Calculate the volume of the following three-dimensional object
Answer: 6773.27
Step-by-step explanation: volume formula for the cone is pie(radius)^2(height/3) just plug in your information into the formula and viola
I need help with this math promblem will anybody help me
Answer:
d = 83
Step-by-step explanation:
Answer:
d=83°
Step-by-step explanation:
the sum of the inner angles is equal to 360°
so
127+67+d+d=360
194+2d=360
2d=166
d=83°
If the measure of arc KM is 112°, find the measure of arc LM
I'll give you the brainliest
Answer:
>
Step-by-step explanation:
sqrt{17} > sqrt{11}
Answer: >
Step-by-step explanation: the square root of 17 is going to be larger than the square root of 11. since you add 3 to both equations, that is all you have to worry about.
You place two wooden support beams under a shelf, as shown. Find the value of x
Answer:
17x
Step-by-step explanation:
so first 2x is 2 x x = 2x
then +10 =12x then 5 + x = 5x so 5x + 12x = 17x
a parallelogram has one angle that measures 65 what are the other three angles
Answer:
Step-by-step explanation:
65,115,115
Please answer this is my last few points
Answer:
first is some and second is all
Step-by-step explanation:
PLEASE GIVE BRAINLIEST!!!!!!!!!!
Answer:
1. All
2. Some
Step-by-step explanation:
I belive this awnser is correct
When rolling a die, calculate the probability as a fraction of rolling a 3. The probability is
Answer:
1/6
Step-by-step explanation:
there is only one side in which there is 3 out of total six sides so 1/6
The National Health Survey uses household interviews to describe the health-related habits of U.S. adults. From these interviews they estimate population parameters associated with behaviors such as alcohol consumption, cigarette smoking, and hours of sleep for all U.S. adults. In the 2005-2007 report, they estimated that 30% of all current smokers started smoking before the age of 16. We randomly select a sample of 100 smokers and calculate the proportion who started smoking before the age of 16.
Answer: hello your question is incomplete below is the missing part
Based on your simulation, what is the average amount of error you expect to see in the sample proportions in this situation?
answer : 0.0458
Step-by-step explanation:
In 2005 - 2007 : 30% of all current smokers started smoking before the age of 16
n ( sample size ) = 100 smokers
The average amount of error expected can be calculated as
[tex]\sqrt{pq/n}[/tex] = [tex]\sqrt{0.3*0.7/100}[/tex] = 0.0458
where : p = 0.3
q = 0.7
n = 100
complete the proof given: AB x BE =CB x BD prove: triangle ABC triangle DBE
The complete proofs with all the reasons and statements; have been enumerated below
Triangle Proofs
The image showing the given triangle is missing and so i have attached it.
From the attached image, we can deduce that;
Statement 1; AB * BE = CB * BD
Reason 1; Given
Statement 2; CB/BE = AB/BD
Reason 2; Property of Cross Multiplication
Statement 3; ∠ABC ≅ ∠DBE
Reason 3; Vertical Angles
Statement 4; ΔABC ~ ΔDBE
Reason 4; SAS property of similarity
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Let W = {a + 2x + bx2 € Pz: a, b E R} with the standard operations in P2. Which of the following statements is true? W is not a subspace of P2 because 0 € W. W is a subspace of P2. a The above is true The above is true None of the mentioned O 1+xEW
The statement "W is a subspace of P2" is true, as W satisfies the conditions for being a subspace: closure under addition and scalar multiplication, and containing the zero vector.
The statement "W is a subspace of P2" is true.
To show that W is a subspace, we need to verify the three conditions for subspace:
W is closed under addition: For any two polynomials p(x) = a + 2x + bx^2 and q(x) = c + 2x + dx^2 in W, their sum p(x) + q(x) = (a + c) + 4x + (b + d)x^2 is also in W. Therefore, W is closed under addition.
W is closed under scalar multiplication: For any polynomial p(x) = a + 2x + bx^2 in W and any scalar k, the scalar multiple kp(x) = ka + 2kx + kbx^2 is also in W. Therefore, W is closed under scalar multiplication.
W contains the zero vector: The zero polynomial 0 = 0 + 0x + 0x^2 is in W since a = b = 0. Therefore, W contains the zero vector.
Since W satisfies all three conditions for subspace, it is indeed a subspace of P2.
Hence, the statement "W is a subspace of P2" is true.
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Suppose a regression was run between y and one x variable. The coefficient of the x variable (slope coefficient) was -0.76. The associated standard error of the slope coefficient was 0.04, and p value of the slope coefficient was 0. The t stat of the slope coefficient is: ________
The t-statistic of the slope coefficient is -19 is the answer.
Suppose a regression was run between y and one x variable.
The coefficient of the x variable (slope coefficient) was -0.76.
The associated standard error of the slope coefficient was 0.04, and p value of the slope coefficient was 0.
The t stat of the slope coefficient is -19.
To find the t-statistic value, divide the slope coefficient by the standard error.
This is given as t = slope / SE.
We have the values of the slope and the SE in the problem.
Substitute these values to get the t-statistic.t = -0.76 / 0.04 = -19
From this calculation, we can see that the t-statistic of the slope coefficient is -19.
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Watch help video
What is the image of (-9,9) after a dilation by a scale factor of 2 centered at the
origin?
Answer:
It would be C since a scale factor of 2 makes the original A coordinate of (3,3) times 2 therefore the new coordinates being (6,6)
Step-by-step explanation:
If money in a savings account earned 8% interest per annum, how much nterest would be earned on $150.00 over three years?
Answer:
$36
Step-by-step explanation:
Given :
Interest rate, r = 8% = 0.08
Principal, P = 150
Time, t = 3 years
Simple interest = (principal * rate * time)
Simple interest = (150 * 0.08 * 3)
Simple interest = $36
Convert the time. Enter your answers in the boxes.
324 minutes =
hours,
minutes
Answer:
5 hours and 24 minutes
Step-by-step explanation:
sorry if im wrong
Answer:
5.4 hours
Step-by-step explanation:
I'm not 100 percent sure
hope this helped ;)
Move point C and observe how the
angle measures change.
When AC changes,
m_ABC and mŁADC
vand are
to each other.
Answer:
[tex]\angle ABC[/tex] and [tex]\angle ADC[/tex] will change
[tex]\angle ABC[/tex] equal [tex]\angle ADC[/tex]
Step-by-step explanation:
Given
See attachment for complete question
Required
What happens when AC changes
(a) [tex]\angle ABC[/tex] and [tex]\angle ADC[/tex] are formed from points A and C. So, a change in AC will result to a change in the measures of [tex]\angle ABC[/tex] and [tex]\angle ADC[/tex].
(b) [tex]\angle ABC[/tex] and [tex]\angle ADC[/tex] are in the same segment, meaning that they will always have the same measure
4x - 2y can be simplified as ____________
Answer:
4x - 2y can be simplified as 2(2x - y)
The temperature at the beginning of the day was 6 degrees F. The temperature dropped 9 degrees F by the end of the day. What was the temperature at the end of the day?
Temperature is an average measure of the kinetic energy of particles of matter.
Temperature can be in negative degrees.
The temperature at the end of the day is -3°F.
What is temperature?Temperature is an average measure of the kinetic energy of particles of matter.
The Celsius scale is generally used for measuring most temperatures.
The Fahrenheit (°F) temperature scale is also used.
We have,
The temperature at the beginning of the day = 6°F
The temperature drop by the end of the day = 9°F
Temperature can also be in negative degrees.
The temperature at the end of the day:
= 6°F - 9°F
= -3°F
Thus the temperature at the end of the day is -3°F.
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Let y+3=xy-6x². Use implicit differentiation to find y' or dy dx
the derivative of y with respect to x, or dy/dx, for the given equation is y' = (y - 12x) / (1 - x).
We start by differentiating both sides of the equation with respect to x.
For the left-hand side, the derivative of y + 3 with respect to x is simply dy/dx, or y'.
For the right-hand side, we need to apply the product and chain rules.
Differentiating xy with respect to x gives us x(dy/dx) + y.
Differentiating -6x² with respect to x gives us -12x.
Putting it all together, we have y' + 0 = x(dy/dx) + y - 12x.
Rearranging the equation, we get y' = (y - 12x) / (1 - x).
Therefore, the derivative of y with respect to x, or dy/dx, for the given equation is y' = (y - 12x) / (1 - x).
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help me with the whole problem plssss i do anything plss.
Answer:
8 people can go
Step-by-step explanation:
Graph the line.
y+4= -1/3(x+5)
Answer:
graph is shown
Step-by-step explanation:
slope: -1/3
y intercept: (0,-17/3)