To transform square A′B′C′D′ back to square ABCD, you need to perform a dilation with a scale factor of 1/4.
When a figure is dilated by a scale factor of k, all of its dimensions (lengths, widths, heights, etc.) are multiplied by k. In this case, square A′B′C′D′ was dilated by a scale factor of 4, so all of its dimensions were multiplied by 4. Therefore, the side length of A′B′C′D′ is 4 x 4 = 16 inches.
To transform A′B′C′D′ back to ABCD, we need to undo the dilation by multiplying all of its dimensions by a scale factor of 1/4. This means that the side length of ABCD will be 16 x 1/4 = 4 inches, which is the same as the original side length. Therefore, the transformation to go from A′B′C′D′ to ABCD is a dilation with a scale factor of 1/4.
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Roll a number cube 30 times. Record the results from each roll. In parts (a) and (b), find the sample proportion, the margin of error for a 95% confidence level, and the 95% confidence interval for the population proportion.
a. rolling a 2
Therefore, the sample proportion for rolling a 2 is 0.267, the margin of error for a 95% confidence level is 0.114, and the 95% confidence interval for the population proportion is (0.153, 0.381).
To find the sample proportion, margin of error, and confidence interval for rolling a 2 on a number cube rolled 30 times, you can follow these steps:
1. Determine the number of times a 2 was rolled in the 30 trials. Let's say you rolled a 2, 8 times.
2. Calculate the sample proportion by dividing the number of times a 2 was rolled by the total number of trials: 8/30 = 0.267.
3. To find the margin of error for a 95% confidence level, use the formula: margin of error = 1.96 * sqrt((sample proportion * (1 - sample proportion)) / sample size).
In this case, the sample size is 30. So, substitute the values into the formula: margin of error = 1.96 * sqrt((0.267 * (1 - 0.267)) / 30) = 0.114.
4. Finally, to find the 95% confidence interval for the population proportion, subtract and add the margin of error to the sample proportion:
Lower bound = sample proportion - margin of error = 0.267 - 0.114 = 0.153
Upper bound = sample proportion + margin of error = 0.267 + 0.114 = 0.381
Therefore, the sample proportion for rolling a 2 is 0.267, the margin of error for a 95% confidence level is 0.114, and the 95% confidence interval for the population proportion is (0.153, 0.381).
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Triangle DEF is a dilation of triangle ABC with scale factor 2. In triangle ABC, the largest angle measures 82∘. What is the largest angle measure in triangle DEF?
Answer:
164
Step-by-step explanation:
Because if you multiply 82 x 2 it would equal 164 but you can also divide each number by 82 to get your answer
7 divided by 6 equals what
Answer:
7 divided by 6 is 1.1666666667
A reverse-air baghouse is to be designed to remove fly ash from a power plant exhaust gas stream flowing at 300,000 acfm. The airstream is at 350oF and has a significant content of SO2 gas. Specify: a. The type of fabric b. Filtering velocity, ft/min c. Cloth area d. Number of bags.
The design specifications for a reverse-air baghouse to remove fly ash from a power plant exhaust gas stream are requested. The answers to the specific requirements are as follows:
a. The type of fabric: The selection of fabric for the baghouse will depend on various factors such as temperature, gas composition, and particulate characteristics. Considering the presence of SO2 gas and the high temperature of the airstream, a suitable fabric choice could be PTFE (Polytetrafluoroethylene) or P84 (Polyimide) due to their resistance to corrosion and high-temperature properties.
b. Filtering velocity, ft/min: The filtering velocity is the airflow rate passing through the cloth area per unit area. It is typically recommended to keep the filtering velocity within a range of 2-6 ft/min for baghouse applications. Considering the given airflow rate of 300,000 acfm, the filtering velocity can be calculated by dividing the airflow rate by the cloth area.
c. Cloth area: The cloth area required can be determined by dividing the airflow rate (300,000 acfm) by the filtering velocity (ft/min). The units should be converted appropriately to ensure consistency.
d. Number of bags: The number of bags needed depends on the desired bag spacing, bag length, and cloth area. It is typically determined based on practical considerations such as maintaining appropriate airflow distribution and minimizing pressure drop.
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Help me with this, it’s due in a bit!
Answer:
64 square centimeters
Step-by-step explanation:
The surface are of a pyramid is found by finding the sum of the area of the four sides and the base.
Finding the triangular face:
Area of triangle = \(\frac{1}{2} b h\) = \(\frac{1}{2}*4*6 = 12\)
12 * 4 (4 sides) = 48 square cm
Finding the Base = \(w * l = 4 * 4 = 16\)
Finally, we add it together. 48 + 16 = 64
What is 1/20 as a percentage
Answer:
1/20 = 5%
Hope this helps with your question :)
Step-by-step explanation:
1. Multiply numerator and denominator by 5 to get 100 in the denominator.
1/20 = 5/100
2. A number over 100 means it is that number on top of 100.
5/100 = 5% out of 100%
3. So final answer is 5%
in a circle of radius 3.4 cm, what is the length of the arc opposite a central angle that measures 46 degrees?
The length of the arc opposite a central angle that measures 46 degrees is 2.72 cm.
What is circle?
The measurement of the circle's boundaries is called as the circumference or perimeter of the circle. whereas the circumference of a circle determines the space it occupies. The circumference of a circle is its length when it is opened up and drawn as a straight line. Units like cm or unit m are typically used to measure it. The circle's radius is considered while calculating the circumference of the circle using the formula. As a result, in order to calculate the circle's perimeter, we must know the radius or diameter value.
in a circle of radius 3.4 cm
central angle that measures 46 degrees
length of arc = (46/360) * 2π*3.4
=2.72cm
Hence the length of the arc opposite a central angle that measures 46 degrees is 2.72 cm
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What is -2(x + 12y - 5 - 17x - 16y + 4) simplified?
-40x + 8y + 2
28x + 8y +2
28x + 6y + 2
-28x - 8y + 2
Answer:
Step-by-step explanation:
First, we can simplify the expression inside the parentheses by combining like terms:
-2(x + 12y - 5 - 17x - 16y + 4) = -2(-16x - 4y - 1)
Next, we can distribute the -2 to each term inside the parentheses:
-2(-16x - 4y - 1) = 32x + 8y + 2
Therefore, -2(x + 12y - 5 - 17x - 16y + 4) simplified is 32x + 8y + 2.
The simplified expression is 32x + 8y + 2.
Simplification of an algebrai expression can be defined as the process of writing an expression in the most efficient and compact form without affecting the value of the original expression.
The process entails collecting like terms, which implies adding or subtracting terms in an expression.
Simplify the expression -2(x + 12y - 5 - 17x - 16y + 4).
First, let's distribute the -2 to each term inside the parentheses:
-2(x) + (-2)(12y) - (-2)(5) - (-2)(17x) - (-2)(16y) + (-2)(4)
Now we'll multiply: -2x - 24y + 10 + 34x + 32y - 8
Next, we'll combine like terms:
(-2x + 34x) + (-24y + 32y) + (10 - 8)
The result is 32x + 8y + 2
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pls solve this question for me
The exponential function that represents the table that is given will be A. f(x) = 6(2)^x.
When when x is 6, the value of the function will be A. 384.
How to calculate the function?It should be noted that in Mathematics, the function simply shows the relationship between the variables that are given.
Based on the table, the exponential function that represents the table that is given will be A. f(x) = 6(2)^x.
In this case, when x is 6, the value of the function will be:
= 6 × 2^x
= 6 × 2^6
= 6 × 64
= 384
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how can you find the value of the expression -5 + 12 + 10 - 7
Answer:
10
Step-by-step explanation:
-12+22
10
Answer:
10
Step-by-step explanation:
1) Prepare in good form and in the correct order, a classified Statement of marks) 2) Prepare the required closing entries. No explanations needed. Show all necessary calculations. (26 marks)
To fulfill the request, two tasks need to be completed. First, a classified statement of marks must be prepared, displaying the marks in the correct order and format. Second, the required closing entries should be prepared, including all necessary calculations.
1) To prepare a classified statement of marks, the marks should be organized in the correct order, such as by subject or category. The statement should clearly display the marks achieved by each student, enabling easy comparison and analysis.
2) Closing entries are necessary to transfer temporary account balances to permanent accounts at the end of an accounting period. These entries help ensure that the temporary accounts are reset to zero for the next accounting period. The required closing entries typically involve transferring revenues, expenses, and dividends to the appropriate accounts. Calculations may be required to determine the closing entries, such as calculating net income or determining the dividend amount. These calculations will depend on the specific financial data and accounts involved in the accounting system being used.
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28. Given M₁ = 35, M₂ = 45, and SM1-M2= 6.00, what is the value of t? -2.92 -1.67 O-3.81 2.75
The t-distribution value is -1.67 for the given mean samples of 35 and 45. Thus, option B is correct.
M₁ = 35
M₂ = 45
SM1-M2 = 6.00
The t-value or t-distribution formula is calculated from the sample mean which consists of real numbers. To calculate the t-value, the formula we need to use here is:
t = (M₁ - M₂) / SM1-M2
Substituting the given values into the formula:
t = (35 - 45) / 6.00
t = -10 / 6.00
t = -1.67
Therefore, we can conclude that the value of t is -1.67 for the samples given.
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The t-distribution value is -1.67 for the given mean samples of 35 and 45. Thus, option B is correct.
Given, M₁ = 35
M₂ = 45
SM1-M2 = 6.00
The t-value or t-distribution formula is calculated from the sample mean which consists of real numbers.
To calculate the t-value,
the formula we need to use here is:
t = (M₁ - M₂) / SM1-M2
Substituting the given values into the formula:
t = (35 - 45) / 6.00
t = -10 / 6.00
t = -1.67
Therefore, we can conclude that the value of t is -1.67 for the samples given.
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6. True or false: A compass contains a magnet that responds to the geomagnetic field of
earth
The correct answer is true
Find the missing angle measure. Type only the number. I need this urgently! Please! Thank you :)
Answer:
x=67°
Step-by-step explanation:
x and 113° make a straight angle or straight line, which is 180°, so
x+113°=180°
x=180°-113°=67°
The Answer Is M{x°}=67
have an amazing day <3
What is square root raised cosine?
SRRC is a pulse shaping filter used in digital communications to minimize intersymbol interference and improve the signal-to-noise ratio.
The square root raised cosine (SRRC) is a famous heartbeat molding channel utilized in computerized correspondences, especially in applications like advanced tweak and demodulation. It is intended to limit intersymbol obstruction (ISI) by restricting the data transmission of the sent sign while keeping a consistent envelope.
The SRRC channel is described by a reaction that is like the raised cosine channel, yet with a square root capability applied to the recurrence reaction. This outcomes in a smoother change between the passband and stopband, which assists with decreasing ISI and work on the sign to-clamor proportion.
The SRRC channel is usually utilized in correspondence frameworks that utilization quadrature sufficiency regulation (QAM) or stage shift keying (PSK) tweak plans, as it gives great ghastly control and heartbeat molding properties that are appropriate to these kinds of signs.
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PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
A construction company buys a certain number of boxes of nails depending on how many houses they plan to build in a year. They have 5 boxes left over from the previous year and predict that this year they will need 3 boxes per house. Write an equation where y represents the number of boxes they need to purchase and x the number of houses they plan to build.
A. y=5x−3
B. y=3x+5
C. y=5x+3
D. y=3x−5
Answer:
I'm not so sure but i guess it's option D y=5x-3
the question said that the number of box of nails are purchased depending on how many houses they planned to build. so for knowing the boxes of nails they need to purchase they need to subtract the boxes which were left and the boxes we need now
10 800 seconds expressed in hours is?
Answer: 3 hours
Step-by-step explanation:
10,800 seconds divided by 60 would make it 180 minutes. Divide 180 by 60 (to get hours), and you get 3. So the answer is 3 hours.
Calculate SP (the sum of products of deviations) for the following scores. (Note: Both means are whole numbers, so the definitional formula works well.)
X Y
4 8
3 11
9 8
0 1
SP =
Both means are whole numbers. The sum of products of deviations (SP) for these scores is 25.
To calculate SP, we first need to find the deviation of each score from its respective mean. Let's start by finding the means:
Mean of X = (4+3+9+0)/4 = 4
Mean of Y = (8+11+8+1)/4 = 7
Now, we can calculate the deviations:
X Y X-Mean Y-Mean Product
4 8 0 1 0
3 11 -1 4 -4
9 8 5 1 5
0 1 -4 -6 24
To find SP, we simply sum up the products column:
SP = 0 + (-4) + 5 + 24 = 25
To calculate SP (the sum of products of deviations), we first need to find the means of both X and Y, and then find the deviations from the mean for each score.
For X: (4 + 3 + 9 + 0) / 4 = 16 / 4 = 4 (mean)
For Y: (8 + 11 + 8 + 1) / 4 = 28 / 4 = 7 (mean)
Now, find the deviations for each score:
X: (0, -1, 5, -4)
Y: (1, 4, 1, -6)
Now, calculate the products of the deviations:
(0 * 1), (-1 * 4), (5 * 1), (-4 * -6) = (0, -4, 5, 24)
Finally, sum the products of deviations:
SP = 0 - 4 + 5 + 24 = 25
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Scale Factor: 1/2; Center: point N
The new coordinates of points M and O is determined as;
M = (0.5, - 1)
O = (2.5, -2).
What is the new coordinate of points of M and O?The new coordinate of points M and O after applying the scale factor is calculated as follows;
The given scale factor = 1/2
The current coordinates of point M and O is;
M = (1, - 2)
O = (5, - 4)
A scale factor can be used to either enlarge a figure or decrease a figure.
When the scale factor is less than 1, it means the new figure will be smaller than the original figure.
However, if the scale factor is greater than 1, the new figure will be greater than the original figure.
The new coordinates of points M and O is determined as follows;
M = (1 x 1/2, -2 x 1/2) = (0.5, - 1)
O = (5 x 1/2, -4 x 1/2) = (2.5, -2)
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Find a pattern for each sequence. Use the pattern to show the next two terms.
2, 6, 7, 21, 22, 66, 67, ..., ...
*urgent*
the diagonal of a particular square is 5 inches. the diameter of a particular circle is also 5 inches. by how many square inches is the area of the circle greater than the area of the square? express your answer as a decimal to the nearest tenth.
7.13 square inches is the area of the circle greater than the area of the square
area of a circle is pir^2 = pi*2.5^2
side of the square by Pythagoras
In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side.
5^2 = 2x^2
x^2 = 12.5 = area of the square
area of circle = pi * 6.25 = 19.63
difference in areas = 19.63 - 12.5 = 7.13 sq ins
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4. Tim has a wheelbarrow full of sand. He can fill a 12 litre bucket with the sand 15 times. (a) How many times could he fill a bucket with a capacity of 18 litres, with the sand from the wheelbarrow?
Tim could fill the 18-litre bucket in 22.5 times.
How many times could Tim fill an the bucket?To get the number of times he could fill an 18-litre bucket with the sand from the wheelbarrow, we wil set up proportion using the known information.
The amount of sand that can fill a 12-litre bucket is proportional to the number of times it can fill the bucket.
The proportion will be:
12 litres / 15 times = 18 litres / x times
12x = 15 * 18
12x = 270
x = 270 / 12
x = 22.5.
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please help due in 2 min will give max points
Answer:
x = 4
Step-by-step explanation:
(7x - 2) + (3x + 9) = 10x + 7
(10x + 7) + (8x - 6) = 18x + 1
18x + 1 = 73
18x = 72
72/18 = x
x = 4
In the souvenir shop, Gary finds a shirt and a key chain he would like to buy. The shirt costs $13.75 and the key chain costs $2.33. What will be the total of Gary's souvenirs?
Answer:
$16.08
Step-by-step explanation:
13.75+2.33=16.08
Black bird starts his flight path from (2, 0). his flight path reaches a maximum height of 20 yards and lands at point (38, 0).
The maximum height is 20 yards and the total horizontal distance is 36 yards, which is the distance between the point (2, 0) and (38, 0).
What is a parabola?It is defined as the graph of a quadratic function that has something bowl-shaped.
We have:
The blackbird starts his flight path from (2, 0). His flight path reaches a maximum height of 20 yards and lands at point (38, 0).
Here the bird path will be a parabola with a maximum height of 20 yards.
The total horizontal distance traveled by the bird = The distance between the points (2, 0) and (38, 0)
= √(38-2)²
= 36 yards
Thus, the maximum height is 20 yards and the total horizontal distance is 36 yards, which is the distance between the point (2, 0) and (38, 0).
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I have no clue how to do this.
write the coordinates of the verticals of triangle j'k'l' that result from the translation of triangle jkl to units to the left
Answer:
J' (-7, -2)
K' (-5, -6)
L' (-3, -6)
(Note: read the instructions, as I did a mistake of drawing the translation to the right instead.)
Find the first derivative for each of the following:
y = 3x2 + 5x + 10
y = 100200x + 7x
y = ln(9x4)
The first derivatives for the given functions are:
For \(y = 3x^2 + 5x + 10,\) the first derivative is dy/dx = 6x + 5.
For \(y = 100200x + 7x,\) the first derivative is dy/dx = 100207.
For \(y = ln(9x^4),\) the first derivative is dy/dx = 4/x.
To find the first derivative for each of the given functions, we'll use the power rule, constant rule, and chain rule as needed.
For the function\(y = 3x^2 + 5x + 10:\)
Taking the derivative term by term:
\(d/dx (3x^2) = 6x\)
d/dx (5x) = 5
d/dx (10) = 0
Therefore, the first derivative is:
dy/dx = 6x + 5
For the function y = 100200x + 7x:
Taking the derivative term by term:
d/dx (100200x) = 100200
d/dx (7x) = 7
Therefore, the first derivative is:
dy/dx = 100200 + 7 = 100207
For the function \(y = ln(9x^4):\)
Using the chain rule, the derivative of ln(u) is du/dx divided by u:
dy/dx = (1/u) \(\times\) du/dx
Let's differentiate the function using the chain rule:
\(u = 9x^4\)
\(du/dx = d/dx (9x^4) = 36x^3\)
Now, substitute the values back into the derivative formula:
\(dy/dx = (1/u) \times du/dx = (1/(9x^4)) \times (36x^3) = 36x^3 / (9x^4) = 4/x\)
Therefore, the first derivative is:
dy/dx = 4/x
To summarize:
For \(y = 3x^2 + 5x + 10,\) the first derivative is dy/dx = 6x + 5.
For y = 100200x + 7x, the first derivative is dy/dx = 100207.
For\(y = ln(9x^4),\) the first derivative is dy/dx = 4/x.
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HELP! I DONT UNDERSTAND , I NEED TO TURN IT IN BY TOMORROW MORNING
Cece’s dog loses 1 1/4 lb. Then her dog loses another 1 1/8lb. Finally, it gains 3/8 lb. What is the total change in her dog’s weight?
-2 lbs
2 lbs
-238 lbs
238 lbs
Answer:
2 pounds with is b. rhndgdmrgr k rgrnr