The similarity ratio of first polygon to second polygon is 4 : 1.
Define similarity ratio.If two figures have the same shape, they are said to be comparable. In more formal terms, two figures are said to be comparable if their respective angles are congruent and their corresponding side length ratios are identical. The scale factor is the name given to this usual ratio. The ratio of any pair of corresponding sides is the ratio of any two similar figures. Simply put, when two figures are found to be similar, all of their associated side pairs have the same ratio.
Given,
Two polygons given,
Ratio of PQRS polygon = 20
Ratio of EFGH polygon = 5
Similarity ratio,
20 : 5
Simplifying,
4 : 1
The similarity ratio of first polygon to second polygon is 4 : 1.
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A group of workers can plant 18 acres in 6 days.
What is their rate in acres per day?
Divide total acres by total days:
18 acres / 6 days = 3 acres per day.
The rate is 3 acres per day.
A ball is thrown straight up from a height of 3 ft with a speed of 32ft/s. It’s height above the ground after x seconds is given by the quadratic function y=-16x^2+32x+3
Explain the steps you would use to determine the path of the ball in terms of a transformation of the graph of y=X^2.
Transformation involves changing the position of a function.
The path of the ball from y = x^2 is obtained by
Shifting the graph of y = x^2 right by 1 unitThen the graph is vertically stretched by -16Lastly, the graph is shifted up by 19 unitsThe function is given as:
\(\mathbf{y=-16x^2+32x+3}\)
Factor out -16
\(\mathbf{y=-16(x^2-2x)+3}\)
-------------------------------------------------------------------------------
Take the coefficient of x
\(\mathbf{k = -2}\)
Divide by 2
\(\mathbf{k/2 = -1}\)
Take it square
\(\mathbf{(k/2)^2 = 1}\)
-------------------------------------------------------------------------------
Add and subtract the 1 in the bracket of \(\mathbf{y=-16(x^2-2x)+3}\)
\(\mathbf{y=-16(x^2-2x+ 1 - 1)+3}\)
Open bracket
\(\mathbf{y=-16(x^2-2x+ 1) + 16+3}\)
\(\mathbf{y=-16(x^2-2x+ 1) + 19}\)
Express as squares
\(\mathbf{y=-16(x- 1)^2 + 19}\)
The above means that:
The graph of y = x^2 is shifted right by 1 unitThen the graph is vertically stretched by -16Lastly, the graph is shifted up by 19 unitsRead more about transformation at:
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T
n
The graph shows the relationship between time
and the number of soda bottles a machine can
make. Use the points (2,56) and (5,140) to find
the number of soda bottles the machine can make
each minute.
Number of Soda Bottles Made
280
Q
224-
ottles
Enter your answer in the answer box and then click Check Answer.
Answer:
28
Step-by-step explanation:
140 - 56 = 84 bottles
5 - 2 = 3 minutes
84 / 3 = 28 bottles per minute
How many diamonds do I need for 10 chandeliers?
Answer: stacia would need 130 diamonds
Mr. Freye distributed $126 equally among his 4 children for their weekly allowance how much money did each child receive?
Answer:
$10.50
Step-by-step explanation:
Answer:
31.50$
Step-by-step explanation:
step by step
Problem Lines AAA, BBB, and CCC show proportional relationships. Which line has a constant of proportionality between yyy and xxx of 333? Choose 1 answer:
Answer:
The answer is below
Step-by-step explanation:
The correct question is attached.
Two quantities are said to be proportional if as one quantity increases, the other quantity increases. Also, as one quantity decreases, the other quantity decreases.
Given the lines A, B and C. The constant of proportionality can be gotten by getting the equation of the line.
Line A passes through (0,0) and (1, 5). The equation of line A is given by:
\(y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{5-0}{1-0}(x-0)\\\\y=5x\)
The constant of proportionality between y and x is 5.
Line B passes through (0,0) and (3, 5). The equation of line A is given by:
\(y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{5-0}{3-0}(x-0)\\\\y=\frac{5}{3} x\)
The constant of proportionality between y and x is 5/3.
Line C passes through (0,0) and (3, 2). The equation of line A is given by:
\(y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{2-0}{3-0}(x-0)\\\\y=\frac{2}{3} x\)
The constant of proportionality between y and x is 2/3.
Answer:
line c
Step-by-step explanation:
The decimal value of ‘252’ has which of the following hexadecimal value: (choose one and explain)
1. FF
2. F1
3. FH
4. FC
To convert a decimal value to a hexadecimal value, we can use the following steps:
Step 1: Divide the decimal number by 16.
Step 2: Write down the remainder (which will be a digit in the hexadecimal system).
Step 3: Repeat steps 1 and 2 with the quotient obtained in step 1 until the quotient becomes 0.
Step 4: Write down the remainders in reverse order to obtain the hexadecimal value.
Let's apply these steps to convert the decimal value '252' to hexadecimal:
Step 1: 252 divided by 16 equals 15 with a remainder of 12.
Step 2: The remainder 12 corresponds to the hexadecimal digit 'C'.
Step 3: Divide 15 (the quotient from the previous step) by 16.
15 divided by 16 equals 0 with a remainder of 15.
Step 4: Writing down the remainders in reverse order, we have 'C' followed by 'F'.
Therefore, the hexadecimal value of the decimal number '252' is 'CF'.
None of the options provided match the correct hexadecimal value.
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HELPPP AGAIN PLEASEE. What is the equation of the line that passes through the point (-6,5) and has a slope of -3/2?
Answer:
y - y1 = m(x - x1)
y - 5 = -3/2 [x - (-6) ]
2 (y - 5) = 2 × -3/2 [x - (-6) ]
2y - 10 = -3 [x + 6]
2y - 10 = -3x - 18
2y- 10 + 3x + 18 = 0
2y + 3x -10 + 18 = 0
2y + 3x + 8 = 0
Step-by-step explanation:
I stated the formula to find the equation of the line . Then replaced the y1 and x1 with -6 and 5 respectively. I multiplied the whole equation by the LCM, which is 2. Group the whole equation to the left and equate it to 0. Then group like terms and solve. The final answer is the equation of the line
Can you please help me?
Answer:
\(\frac{20}{36}\)
Step-by-step explanation:
the total amount of squares within this square is 36
and the number of shaded squares would be 20
so if 20 squares out of 36 squares are shaded, then the fraction is
\(\frac{20}{36}\)
or 55.56%
(to find percentage multiply \(\frac{20}{36}\) by 100)
Answer:
5/9
= 55.56% ( to the nearest hundredth).
Step-by-step explanation:
The total number of little squares in the large square = 6*6 = 36.
Total number of shaded squares = 2*6 + 2*4
= 12 + 8 = 20.
So the fraction of shaded part
= 20/36
= 5/9.
As a percentage this is 5*100/9
= 55 5/9%
= 55.55..... %
In the system of equations , x represents .... ( please answer 12a and 12b )
Answer:
x = cost of each t-shirt
y = cost of each sweatshirt
Step-by-step explanation:
Given equation:
2x + 2y = 26 (1)
x + 3y = 33 (2)
From (2)
x = 33 - 3y
Substitute x = 33 - 3y into (1)
2x + 2y = 26 (1)
2(33 - 3y) + 2y = 26
66 - 6y + 2y = 26
- 6y + 2y = 26 - 66
-4y = -40
y = -40/-4
y = 10
Substitute y = 10 into (2)
x + 3y = 33 (2)
x + 3(10) = 33
x + 30 = 33
x = 33 - 30
x = 3
Where,
x = cost of each t-shirt = $3
y = cost of each sweatshirt = $10
g(x)=3+x+e^x find g^-1(4)
we estimate that g^-1(4) is approximately 0.8.
To find g^-1(4), we need to find the value of x that satisfies the equation g(x) = 4, where g(x) = 3 + x + e^x.
So, we start by setting g(x) equal to 4 and solving for x:
3 + x + e^x = 4
Subtracting 3 from both sides, we get:
x + e^x = 1
We cannot solve this equation for x algebraically, so we need to use numerical methods to approximate the solution. One common method is to use the graph of the function g(x) and its inverse g^-1(x) to estimate the value of g^-1(4).
First, we graph the function g(x) and look for the point on the curve where the y-coordinate is 4:
Graph of g(x) = 3 + x + e^x
From the graph, we can see that there is a point on the curve where the y-coordinate is close to 4, which is approximately x = 0.5.
Next, we look at the graph of the inverse function g^-1(x), which is simply the reflection of the curve of g(x) across the line y = x:
Graph of g^-1(x)
From the graph, we can see that the point on the curve of g^-1(x) that corresponds to the point (0.5, 4) on the curve of g(x) is approximately g^-1(4) = 0.8.
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Letf(x)=x22/519x². Determine the largest n for which fis n-times continuously differentiable.
Therefore, the largest value of n for which f(x) is n-times continuously differentiable is n = 2.
To determine the largest n for which f(x) is n-times continuously differentiable, we need to find the highest power of x in the function and check for continuity and differentiability up to that power.
In the given function \(f(x) = (x^2 + 2)/(519x^2)\), the highest power of x is 2.
Now, let's analyze the continuity and differentiability of f(x) up to the power of 2.
Continuity:
The function f(x) is continuous for all real numbers except at x = 0, where it has a removable discontinuity. Removing the discontinuity by defining f(0) = 1, the function becomes continuous for all real numbers.
Differentiability:
The function f(x) is differentiable for all real numbers except at x = 0, where it has a removable discontinuity. By defining f'(0) = 0, the function becomes differentiable at x = 0.
Since the function is continuous and differentiable up to the power of 2 (\(x^2\)), we can conclude that f(x) is twice continuously differentiable.
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Liliana is planning to exhibit paintings at her local library. She has 10 paintings already made, and she can make 4 new paintings in a day. If she knows that she wants to have more than 26 paintings for the exhibition, select the inequality that can help Liliana determine how many days she will need to paint, and then answer the question below.
Which of the following possible numbers of workdays will allow Liliana to prepare enough paintings for the exhibit?
Select all that are true.
4 days
10 days
5 days
8 days
The number of workdays that will allow Liliana to prepare enough paintings for the exhibit are 10 days, 5 days and 8 days (2nd - 4th option).
How many days would be enough to allow Liliana prepare for the exhibition?The first step is to determine the inequality sign that would be used in the inequality that represents the information in the question.
Here are inequality signs and what they mean:
> means greater than< means less than≥ means greater than or equal to ≤ less than or equal toThe form of the equation is:
number of painting already made + (new paintings per day x number of days) > 26
10 + (4 x n) > 26
10 + 4n > 26
4n > 26 - 10
4n > 16
n > 16 / 4
n > 4
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how do u solve rational exponent equations
PLZ HLP MEEEEEEEEEEEEEEE
the table shows the distribution of students in Mrs boxer's sixth-grade class. what is the ratio of the number of boys to the number of girls? 10= boys 18= girls OPTIONS: A. 9/5 B. 5/4 C. 4/5 D. 14/9 E. 5/9 F. 9/14
Answer: 5/9
Step-by-step explanation:
Because you are looking for the ratio of BOYS to GIRLS you put those numbers in that order so it would be 10boys/18girls simplified that is 5/9
Answer:
Haaave youuu ever seen a troll
digging a hole
down by the bay?
Step-by-step explanation:
May I have brainliest please? :)
4(m + 2) = 40
solve the equation please
Answer:
m = 9.5
Step-by-step explanation:
Use the distributive property, so now the equation should look like:
4m + 2 = 40
-2 -2
-------------------
4m = 38
÷4 ÷4
-----------------
m = 9.5
the domain of consists of numbers x for which not equals equals not equals 0 that are in the domains of both f and g. both f and g. either f or g.
The statement is true that the domain of f(x)/g(x) consists of numbers "x" that are in the domains of both f(x) and g(x) for which g(x) is not equal to 0.
A function's area is the set of its available inputs, or the set of enter values for which the characteristic is described. The area is the collection of objects that the system will take delivery of as inputs within the characteristic machine paradigm.For the function f(x)/g(x) to be defined, g(x) must now not be equal to 0.hence, the domain of the characteristic f(x)/g(x) consists of all of the numbers "x" which can be inside the domain names of each the functions f(x) and g(x) for which g(x) is not 0.To learn more about functions, visit :
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One of the primary goals of constructing a frequency distribution for quantitative data is to summarize the data in a manner that accurately depicts the data as a whole. True/False?
One of the primary goals of creating a frequency distribution for quantitative data is to properly represent the data as a whole. As a result, it is correct, as it accurately depicts the data as a whole.
what is a frequency distribution?Frequencies are organized into frequency distributions, which are visual displays, to make the information easier to understand. A frequency distribution can display absolute or relative frequencies, such as ratios or percentages. A frequency distribution can be represented by a graph or a frequency table. A frequency distribution can show both the exact number of observations and the proportion of observations that fall within each range. In the latter case, the distribution is referred to as a relative frequency distribution. The frequency of observation is the number of times it appears in the data. For example, the frequency of the number 9 in the following list of numbers is 5. (Because it happens five times). 1, 2, 3, 4, 6, 9, 9, 8, 5, 1, 1, 9
One of the primary goals of creating a frequency distribution for quantitative data is to properly represent the data as a whole.
As a result, it is correct, as it accurately depicts the data as a whole.
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A craftsman wants to build this fiddle. He needs to know the area of the face of the fiddle. How could he use the measurements shown to find the area?
The Area of Trapezium is 50, 267 mm².
We have,
base 1 = 224 mm
base 2 = 77 mm
Height = 334 mm
Now, Area of Trapezium
= 1/2 (Sum of parallel side) x height
= 1/2 (224 + 77) x 334
= 1/2 x 301 x 334
= 50, 267 mm²
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Find the quotient.
4.58 ÷ 0.5
Answer:
9.16
Step-by-step explanation:
4.58/.5
Answer:
9.16
Step-by-step explanation:
4.58
--------
0.5
45.8
--------
5
5 into 45 is 9
9 x 5 = 45
45-45= 0
5 into 8 is 1
1 x 5 = 8
8 - 5 = 3
Bring down the zero: 30
5 into 30 is 6
5 x 6 = 30
30 - 30 = 0
the solution for long division of 4.58
-------- = 9.16
5
Hope this helps
Ten minus tree times a number is no more than 61
Answer:
The inequality can be written as 10 - 3x ≤ 61. Solving for x, we have:
3x ≥ -51
x ≥ -17
35/7•5+2
Help with math
Simplify
Answer:
27, correct me if im wrong
Step-by-step explanation:
Answer:
35/7 = 5
5*5 = 25
25+2 = 27
Step-by-step explanation:
Help its all in the picture
calculate the solar flux density (also known as the solar constant) for mercury using the following information: solar luminosity = 3.865 x 10^26 w distance of mercury from the sun = 5.791 x 10^10 m
Therefore, the solar flux density for mercury after the calculation is 9.12 x 10⁻³ W/m².
The solar flux density also referred to as the solar constant is the total amount of energy derived from the sun per unit area per given unit of time. It is considered to be equal to solar luminosity divided by the surface area of a given sphere that has a radius equivalent to the distance between the respective planet from the sun.
using the formula for finding the solar flux density,
solar flux density = solar luminosity /(4 x π x distance between mercury and the sun)
solar flux density = 3.865 x \(10^{26}\) /(4 x π x ( 5.791 x \(10^{10}\)))
solar flux density = 9.12 x 10⁻³ W/m²
Therefore, the solar flux density for mercury after the calculation is 9.12 x 10⁻³ W/m².
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can someone help? (this is algebra work)
What does it mean in this situation if the average rate of change is negative? a. it means that the median age of a man at the time of his first marriage is increasing. b. it means that the median age of a man at the time of his first marriage is decreasing. c. it means that the median age of a man at the time of his first marriage has a constant rate of change. d. there is no way to determine the average rate of change in this situation.
If the situation shows an average rate of change that is negative then it means that b. it means that the median age of a man at the time of his first marriage is decreasing.
What does a negative rate of change show?A negative rate of change means that the variable being investigated is decreasing as time goes on.
As the variable in this case seems to be the median age of a man at the time of his first marriage, it means that this median age is decreasing as time goes on.
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what is the reciprocal of 9/10 in fraction form
Answer:
10/9
Step-by-step explanation:
10/9
Just flip-flop the numerator and denominator
A sampling distribution is normal only if the population is normal. Question content area bottom Part 1 Choose the correct answer below. A. The statement is true. B. The statement is false. A sampling distribution is never normal. C. The statement is false. A sampling distribution is normal if either n30 or the population is normal. D. The statement is false. A sampling distribution is normal only if n30.
The statement "A sampling distribution is normal if either n≥30 or the population is normal" is true.
Hence option C is correct.
It is ideal for the population to be normal, a larger sample size (n≥30) can also result in a normal sampling distribution due to the Central Limit Theorem.
Therefore, a normal sampling distribution is not never possible as stated in option B, and it's not solely dependent on the population being normal as stated in option A.
Option D, stating that a normal sampling distribution is only possible if n≥30 is also not entirely true, as a normal population can still result in a normal sampling distribution for smaller sample sizes.
Hence the correct statement is,
"A sampling distribution is normal if either n≥30 or the population is normal".
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Find the surface area. Round your answer to the nearest hundredths, if necessary. Leave your answer in terms of for answers that contain .
Answer:
C. 92.16π mi²
Step-by-step explanation:
Use the formula: 4 · π · r²
r=4.8
4 · π · 4.8²=
=4 · π · 23.04=
=92.16π mi²
Hope this helps!
If not, I am sorry.
Determine the value of y, if x is -12.
Y=|x|-6
Answer:
6
Step-by-step explanation:
absolute value of -12 is 12 so 12-6=6
Answer:
The Answer is 6
Step-by-step explanation:
1. Plug in the -12 into the problem
y= |-12|-6
2. Find the absolute value of -12
y= 12-6
3. Subtract 6 from 12
y=6
So your answer is 6 :)