2 if ABC is mapped onto DEF after a line reflection andDEF is mapped onto XYZ after a translation, the relationship
between ABC and XYZ is that they are always
(1) congruent and similar
(2) congruent but not similar
(3) similar but not congruent
(4) neither similar nor congruent
The relationship between ABC and XYZ is that they are always (1) congruent and similar
How to determine the relationship?The transformation between both triangles are given as:
ReflectionTranslationGiven that these triangles map onto one another.
It means that both triangles are congruent
Congruent triangles are similar triangles
Hence, the relationship between ABC and XYZ is that they are always (1) congruent and similar
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What is the length of segment DC?
Answer:33 units
Step-by-step explanation:
Answer:
33 answer in the question
What is 85% of 21 ??
Answer:
Trying to find 85% of 21 is the same thing as multiplying 0.85 by 21.
0.85 * 21 = 17.85.
Hope this helps!
Answer:
The answer is 17.85!
Step-by-step explanation:
Hint: if you don't remember how to convert percentages into decimals, just remove the percent sign and shift the decimal point two places to the left.
Enter the value of 3 over 4
Answer:
1. Three fourths
2. 3/4
3. 0.75
4. 75%
Step-by-step explanation:
i dont know which one you want
Answer:
.75
Step-by-step explanation:
3 over 4 means \(\frac{3}{4}\), and a fraction is just a division problem. 3 ÷ 4 = .75
which equation is true when n = 5? A) 2n = 7 B) n + 3 =8 C) 9 -n = 14 D) n/15 = 3
The answer is B.
In order to get the answer, you replace the letter n to 5 and workout the problems to see which one is true.
B is the answer because n + 3 = 8
5 + 3 = 8
Answer:
B
Step-by-step explanation:
n+3 =
5+3=
Help pls I will give Brianlist
Answer:
A
Step-by-step explanation:
Hope this helps :)
Answer:
A
Step-by-step explanation:
|-6| = -|6| Are they equal to each other of which one has more value ?
Answer:
no. |-6| is +
Step-by-step explanation:
whenever a number has the symbol in the box, it makes it positive no matter what. -|6| = -6 while |-6| = +6
Answer:
|-6| has more value than -|6|
Step-by-step explanation:
|-6| = -|6| are not equal
|-6| = 6 absolute value of a number is positive no matter what is the sign
-|6| = -6 because the minus is out the absolute sign
if you have $11 and save $5 each week how much money you will have after 6 weeks
Answer: 41$
Step-by-step explanation:
This is because 5x6=30 (To find how much money is made)
then 11+30=41 (add both amounts)
Marcel bought a new pair of inline skates. Each
wheel on the skates is 41 millimeters in radius.
Which shows the number of millimeters
traveled in 5 full rotations of a wheel?
F 2051 mm
G 82 mm
H 417 mm
J 410 mm
Answer:
1288.05
Explanation:
41mm=r
2(pi)r=257.61
257.61x5=1288.05
a random sample of records of home sales from 2/15/93 to 4/30/93 from the files maintained by the albuquerque board of realtors gives the selling price (in thousands of dollars) and size (in square feet) of 13 homes. a regression line was made to predict the selling price of a home sold during this period from its size. in this context, what is the explanatory variable used here?
The overall answer of three parts :
The slope is positive. As the size of the home increases, the price should also increase.
(a) The variables and units in this regression are:
i) Size of homes ( x ) ( measured in \(ft^2\) )
ii) Selling price in ( y ) ( measured in dollars )
(b) Units of the slope will be :
unit of slope = dollar per square foot (i.e. y / x )
(c) According to the above slope
The slope will be positive given that the increase of home size is directly proportional to the increase in price.
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The given question is incomplete, complete question is:
A random sample of records of sales of homes from February 15 to April 30, 1993, from the files maintained by the Albuquerque Board of Realtors gives the Price and Size (in square feet) of 117 homes. A regression to predict Price (in thousands of dollars) from Size has an R-squared of 71.4%. The residuals plot indicated that a linear model is appropriate.
Required:
a. What are the variables and units in this regression?
b. What units does the slope have?
c. Do you think the slope is positive or negative? Explain.
7 The time in minutes (7) taken to cook a joint of beef is given by T-35w +25,
where w is the weight of the joint in kg.
a) How long would it take to cook a 1.5 kg joint?
b) Make w the subject of the formula.
c) What weight of beef needs to be cooked for 207 minutes?
d) What weight of beef needs to be cooked for 3 hours and 48 minutes?
1:11
In conclusion for part A it would take T - 32.5 minutes to cook a 1.5 kg joint. For part B w is given by the formula w = (T - 25) / (-35). For part C 6.6 kg of beef needs to be cooked for 207 minutes. For part D 5.91 kg of beef needs to be cooked for 3 hours and 48 minutes.
How to solve?
a) To find how long it would take to cook a 1.5 kg joint, we can substitute w = 1.5 into the formula:
T - 35w + 25 = T - 35(1.5) + 25 = T - 32.5
So, it would take T - 32.5 minutes to cook a 1.5 kg joint.
b) To make w the subject of the formula, we need to isolate w on one side of the equation. We can start by subtracting 25 from both sides:
T - 35w = T - 25
Next, we can divide both sides by -35:
w = (T - 25) / (-35)
Therefore, w is given by the formula w = (T - 25) / (-35).
c) To find the weight of beef that needs to be cooked for 207 minutes, we can substitute T = 207 into the original formula:
T - 35w + 25 = 207
Simplifying this equation, we get:
-35w = -232
Dividing both sides by -35, we get:
w = 6.6 kg
Therefore, 6.6 kg of beef needs to be cooked for 207 minutes.
d) To find the weight of beef that needs to be cooked for 3 hours and 48 minutes (which is equivalent to 3 × 60 + 48 = 228 minutes), we can substitute T = 228 into the original formula:
T - 35w + 25 = 228
Simplifying this equation, we get:
-35w = -207
Dividing both sides by -35, we get:
w = 5.91 kg
Therefore, 5.91 kg of beef needs to be cooked for 3 hours and 48 minutes.
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Please someone quick answer this!!!
To find a probability you take the specific parameters divided by the entire set of possibilities.
For example, the specific parameter here is that the drink must be a medium, (no matter the temperature). So, we would add 48 and 12 to get 60.
And we know that the total number of orders is 100.
So, we should divide 60 by 100, and we get 60%.
discuss how a test plan should account for the presence of systematic and random errors. include calibration, randomization, and repetition in your discussion.
In your test plan, include the number of repetitions you will perform and a method for analyzing the data to account for random errors.
A test plan should account for the presence of systematic and random errors through the following steps:
1. Calibration: Calibration ensures that the instruments used in the experiment are accurate and consistent. By calibrating the equipment, you can minimize the impact of systematic errors on your results. Start your test plan by ensuring all instruments are calibrated and their measurements are reliable.
2. Randomization: Randomization is the process of randomly assigning subjects or samples to different experimental conditions. This helps to eliminate any potential bias or systematic errors caused by the arrangement of the experiment. In your test plan, make sure to include a method for randomizing the experiment to minimize the effect of systematic errors.
3. Repetition: Repeating the experiment multiple times can help reduce the impact of random errors. By performing the experiment multiple times and averaging the results, you can minimize the influence of random errors on your findings.
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What is the sum of the first seven terms of the geometric series? 3 12 48 192 ...
Answer:
16383
Step-by-step explanation:
If you are able to save $25000 in year 1 , and amounts decreasing by 3 th e cach year through year 15 , the amount you will have at the end of year 15 at 120 ∘ per year interest is closest to: A. $63,810 B. 5103,250 C. 5166,667 D. $227,273 E. Over $410,000 F. All choices are incorrect
Answer: C. $5166,667
Step-by-step explanation:
AI-generated answer
Let's begin with calculating the total amount saved over 15 years. The savings decrease by 3% every year from $25,000 in year 1. To calculate this, we can use the geometric series formula:
S = a(1 - r^n) / (1 - r)
Where S is the sum of the geometric series, a is the first term, r is the common ratio, and n is the number of terms.
In this case, a = 25000, r = 0.97 (since the savings decrease by 3% every year), and n = 15.
S = 25000(1 - 0.97^15) / (1 - 0.97)
S = $267,929.90
Next, we need to calculate the total amount at the end of year 15 with a 120% interest rate per year. We can use the compound interest formula:
A = P(1 + r/n)^(nt)
Where A is the total amount, P is the principal (in this case, $267,929.90), r is the interest rate (in decimal form), n is the number of times the interest is compounded per year (in this case, 1 since it's compounded annually), and t is the number of years (in this case, 15).
r = 120% = 1.2
A = 267929.90(1 + 1.2/1)^(1*15)
A = $5,166,667.00
Therefore, the closest option is C. $5,166,667.
when calculating a multiplicative seasonal index, what mathematical operator is used to relate the trend and seasonal factor?
When calculating a multiplicative seasonal index, the trend and seasonal factor are related using the multiplication operator.
The multiplicative seasonal index is a statistical technique used to decompose time series data into seasonal and trend components. When calculating the multiplicative seasonal index, the trend and seasonal factor are related using the multiplication operator.
The multiplication operator is used to combine the trend and seasonal components in the formula for the multiplicative seasonal index. This is because the trend and seasonal factors are not additive, but instead interact multiplicatively to produce the overall pattern observed in the time series data.
The formula for calculating the multiplicative seasonal index involves dividing the actual value by the trend estimate to remove the trend component, and then multiplying by the inverse of the average of seasonal indices for that period to isolate the seasonal component. By using the multiplication operator, we can account for both the trend and seasonal components in the time series data and accurately predict future values.
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A spinner is divided into five colored sections that are not of equal size: red,
blue, green, yellow, and purple. The spinner is spun several times, and the
results are recorded below:
Spinner Results
Color Frequency
7
16
Red
Blue
Green
Yellow
Purple
19
8
3
Based on these results, express the probability that the next spin will land on
yellow as a percent to the nearest whole number.
Answer:
15.09%
Step-by-step explanation:
Sum of frequencies = 53
Probability = 8
53
=0.1509
Expressing as a percentage
>> 15.09%
Find the interest earned. Then, find the balance.
P = $500
r = 3.5%
t = 3 years
The balance after 3 years is $552.50.
We have,
To find the interest earned, we can use the simple interest formula:
I = Prt
where I is the interest earned, P is the principal (starting amount), r is the interest rate (as a decimal), and t is the time (in years).
Substituting the given values, we get:
I = 500 x 0.035 x 3
I = $52.50
Therefore, the interest earned is $52.50.
To find the balance, we need to add the interest earned to the principal:
Balance = Principal + Interest
Balance = $500 + $52.50
Balance = $552.50
Therefore,
The balance after 3 years is $552.50.
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is this right? pls lmk :)
Answer:
yes
Step-by-step explanation:
the slope is correct because 3+3/3-3=6/0
if the fraction for a slope has a zero underneath its undefined.
Angle 1 and which angle are corresponding angles? What is
the measure of this angle?
Answer:
angle 2
Step-by-step explanation:
Corresponding angles are angles that are on the same side of the transversal and are congruent.
To visualize this kindly view the attatched image.
Based off of the attatched image, the angle corresponding to angle 1 whould be angle 2.
We are not given enough information to find the measure of this angle but we do know ∠1 ≅ ∠2
Which objective function has the same slope (parallel) as this one: $4x+$2y=$20? Select one: a. $8x+$4y=$10 b. $8x+$8y=$20 c. $4x−$2y=$20 d. $2x+$4y=$20 ear my choice
The objective function that has the same slope (parallel) as the given function $4x + 2y = 20 is
option d. $2x + $4y = $20.
To determine which objective function has the same slope as $4x + 2y = 20, we need to rearrange the given equation into slope-intercept form, y = mx + b, where m represents the slope. In this case, we have:
$4x + $2y = $20
$2y = -$4x + $20
y = -2x + 10.
By comparing this equation with the slope-intercept form, we can see that the slope is -2. Therefore, we need to find the objective function with the same slope. Among the options, option d, $2x + $4y = $20, has a slope of -2 since its coefficient of x is 2 and its coefficient of y is 4 (2/4 simplifies to -1/2, which is the same as -2/1). Thus, option d is the correct answer.
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The pressure and volume of an expanding gas are related by the formula PV^b=C, where b and C are constants (this holds in adiabatic expansion, with or without loss).
Find dP/dt if b=1.5, P=7 kPa, V=110 cm^3, and dV/dt=40 cm^3/min.
(Use symbolic notation and fractions where needed.)
The dP/dt of the adiabatic expansion is -42/11 kPa/min
How to calculate dP/dt in an adiabatic expansion?An adiabatic process is a process in which there is no exchange of heat from the system to its surrounding neither during expansion nor during compression
Given b=1.5, P=7 kPa, V=110 cm³, and dV/dt=40 cm³/min
PVᵇ = C
Taking logs of both sides gives:
ln P + b ln V = ln C
Taking partial derivatives gives:
\(\frac{1}{P}\frac{∂P}{∂t} + \frac{b}{V}\frac{∂V}{∂t} = 0\)
Substitutituting the values b, P, V and dV/dt into the derivative above:
1/7 x dP/dt + 1.5/110 x 40 = 0
1/7 x dP/dt + 6/11 = 0
1/7 x dP/dt = - 6/11
dP/dt = - 6/11 x 7
dP/dt = -42/11 kPa/min
Therefore, the value of dP/dt is -42/11 kPa/min
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The spinner above is used in a game. What is the theoretical probability of the given event with one spin?
P(a multiple of 3)
a.
Three-fourths
c.
StartFraction 3 Over 8 EndFraction
b.
One-fourth
d.
0
Please select the best answer from the choices provided
The correct answer is option d. The theoretical Probability of spinning a multiple of 3 with one spin is 0.
The theoretical probability of an event, we need to identify the number of favorable outcomes (the desired event) and the total number of possible outcomes.
In this case, the event is spinning a multiple of 3 on the spinner. Let's examine the possible outcomes and identify the favorable outcomes:
Possible outcomes on the spinner: {1, 2, 3, 4, 5, 6}
Favorable outcomes (multiples of 3): {3, 6}
The total number of possible outcomes is 6, and the number of favorable outcomes is 2.
The theoretical probability of spinning a multiple of 3 can be calculated as:
P(multiple of 3) = (Number of favorable outcomes) / (Total number of possible outcomes)
P(multiple of 3) = 2 / 6
Simplifying the fraction, we get:
P(multiple of 3) = 1 / 3
Therefore, the correct answer is option d. The theoretical probability of spinning a multiple of 3 with one spin is 0.
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Please answer whats in the screenshot ASAP pleasee thank you so so much have a great day! <333 :)
Answer:
3
Step-by-step explanation:
I believe it is 3 because you are multiplying each number by 3 to get your bigger shape
Determine the whether the quadratic equation below has a maximum or minimum.
y = 4x² – 3x - 43
Answer:
Minimum
Need to know:
Derivative power rule: d/dx xⁿ = nxⁿ⁻¹
Derivative constant rule: d/dx c = 0
Step-by-step explanation:
A way to determine whether the quadratic equation has a maximum or a minimum is by graphing it.
If we look at the image below, we notice that the graph does not go to the bottom infinitely, but it keeps going up infinitely. This means there is a minimum to this graph.
Another way to determine this is through calculus.
First, we have to find the point of extremum
Find the derivative of the given equation
d/dx 4x² - 3x - 43
You can separate the terms and solve them individually
d/dx 4x² = 4(2)(x²⁻¹) = 8x
d/dx -3x = -3(1)(x¹⁻¹) = -3(1)(1) = -3
d/dx -43 = 0
y' = 8x - 3
Set y' to equal 0
8x - 3 = 0
Add 3 to both sides
8x - 3 = 0
+ 3 + 3
8x = 3
Divide both sides by 8
8x/8 = 3/8
x = 3/8
There is only one point of extremum
Now we have to test whether the equation changes from negative to positive or positive to negative
If it changes from negative to positive, that point is a minimum
If it changes from positive to negative, that point is a maximum
To find this, pick a number less than 3/8 and plug it in the place of x in the derivative equation. We'll use 0.
y' = 8(0) - 3 = -3
Now we will do the same for a number larger than 3/8. We'll use 1
y' = 8(1) - 3 = 5
Since the lesser side of 3/8 is negative and the larger side of 3/8 is positive, that means it changes from negative to positive. This point is a minimum.
A cylindrical silo that stores cereal has a diameter of 16 feet and is 40 feet tall. Approximately what volume of rice is in the silo when it is 34 full
Approximately 15,418.646 cubic feet of rice are in the silo when it is 34% full.
To calculate the approximate volume of rice in the silo when it is 34% full, we need to find the volume of a cylindrical segment.
First, let's calculate the height of the rice-filled portion. If the silo is 40 feet tall and it is 34% full, the height of the rice-filled portion is 34% of 40 feet, which is 0.34 * 40 = 13.6 feet.
Now, let's calculate the radius of the rice-filled portion. The diameter of the silo is 16 feet, so the radius is half of the diameter, which is 16 / 2 = 8 feet.
Using the formula for the volume of a cylindrical segment:
V = (1/3) * π * h * (3r^2 + h^2)
where V is the volume, π is approximately 3.14159, h is the height of the rice-filled portion, and r is the radius of the rice-filled portion.
Plugging in the values:
V = (1/3) * 3.14159 * 13.6 * (3 * 8^2 + 13.6^2)
Calculating this expression gives us:
V ≈ 3.14159 * 13.6 * (3 * 64 + 184.96)
≈ 3.14159 * 13.6 * (192 + 184.96)
≈ 3.14159 * 13.6 * 376.96
≈ 15418.646 cubic feet
Therefore, approximately 15,418.646 cubic feet of rice are in the silo when it is 34% full.
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Which one of the following would be most helpful in strengthening the content validity of a test?
A. Administering a new test and an established test to the same group of students.
B. Calculating the correlation coefficient.
C. Calculating the reliability index.
D. Asking subject matter experts to rate each item in a test.
Asking subject matter experts to rate each item in a test would be most helpful in strengthening the content validity of a test
Asking subject matter experts to rate each item in a test would be most helpful in strengthening the content validity of a test. Content validity refers to the extent to which a test accurately measures the specific content or domain it is intended to assess. By involving subject matter experts, who are knowledgeable and experienced in the domain being tested, in the evaluation of each test item, we can gather expert opinions on the relevance, representativeness, and alignment of the items with the intended content. Their input can help ensure that the items are appropriate and adequately cover the content area being assessed, thus enhancing the content validity of the test.
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Complete the following sentence.
strategies include things like advertising, public relations, cold calling, direct mail, and internet marketing.
Promotional strategies include advertising, public relations, cold calling, direct mail and internet marketing.
What are some examples of promotional strategies?A promotion strategy refers to plan to create or increase demand for a product which also outlines tactics used to raise awareness about your product and get people interested in buying it.
These strategies are essential for businesses to effectively reach and engage their target audience. Advertising, for instance, involves the use of various media channels such as television, radio, print, and online platforms to promote products or services.
These strategies can be used individually or in combination to create a comprehensive promotional campaign tailored to the specific goals and target audience of a business.
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When comparing three or more populations means within a set of quantitative data that is categorized according to one factor/treatment, a one-way anova is appropriate. It is also appropriate in this situation, however, to compare two means at a time using multiple independent two sample t-tests. True or false?.
According one-way ANOVA, the test is false.
In the given question,
When comparing three or more populations means within a set of quantitative data that is categorized according to one factor/treatment, a one-way ANOVA is appropriate. It is also appropriate in this situation, however, to compare two means at a time using multiple independent two sample t-tests. We have to check whether this is true or false.
We firstly learn about one-way ANOVA
"One-Way ANOVA, also known as "analysis of variance," examines the means of two or more independent groups to see if there is statistical support for the notion that the related population means are statistically substantially different."
According to the given method it is inappropriate to compare two means at a time using multiple independent two sample t-tests. It will create multiple testing problem and error.
So using one way ANOVA test when comparing three or more populations means within a set of quantitative data that is categorized according to one factor/treatment and compare two means at a time using multiple independent two sample t-tests is false.
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13. Given the situation below, describe a possible random sample:
Answer: This question is asking for your answer, so it is asking for a possibility of what the person responds with.
Step-by-step explanation:
Here is an example:
The school takes a survey on what snacks they should add
Sample:
I think that they should add healthier snacks like carrots.