By using circle model the images are attached below:
What is a circle model?A circle with a diameter of one has n firms distributed uniformly around it. In light of this, every company's distance from each of its closest neighbors is 1/n.
We must first create two circles in order to compare the ratios of 2 to 7 and 5:7 using a circle model.
Then, we must divide each circle into seven pieces.
We must shade 2 of the circle's total 7 portions in order to maintain the 2:7 ratio.
We must shade 5 of the circle's total 7 portions in order to maintain the 5:7 ratio.
As a result, the first circle symbolizes a 2:7 ratio, while the second circle a 5:7 ratio.
By using circle model the images are attached below:
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Answer: using circles to model the ratios, divide both circles into
7
equal parts.
For the ratio 2 to 7,
2
parts should be shaded.
For the ratio 5:7,
5
parts should be shaded.
The ratio 2 to 7 is
less than
the ratio 5:7
I really need help! Brainliest awarded to correct answer
:))
Answer:
Can you be more specific on this question?
Step-by-step explanation:
GUYS! PLEASE HELP ME IN NO. 8 AND 9 WITH SOLUTIONS.
Find the area of each shaded region. Assume that all angles that appear to be right angles are right angles.
Step-by-step explanation:
Triangle
\( \frac{10 \times 4}{2} - \frac{5 \times 3}{2} = \\ = \frac{40}{2} - \frac{15}{2} = \\ = \frac{25}{2} \)
Circle
\( {4}^{2} \pi - {2}^{2} \pi = \\ = 16\pi - 4\pi = \\ = 12\pi\)
a circle has an area of 64pi square inches which best represents the circumference of the circle A 16 inches B 32 inches C 50-inch D 25 inches
Answer:
16π
Step-by-step explanation:
Area= 64π
or, πr²= 64π
or, r²= 64
r= 8
circumference= 2πr= 2×π×8 = 16π
What is the interest rate?
A) 1
B) 2
C) 4
D) 300
Answer:
I need more information to calculate it for you
The perimeter of the figure below is 54.9 in. Find the length of the missing side.
5.9 in
5.9 in
?
7-3 in
7.3 in
7.3 in
7.3 in
7.3 in
(Note: diagram is NOT to scale)
Select the correct answer from each drop-down menu.
The total area of the three triangles is
square units.
The area of the figure is
square units.
The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
From the figure, the area of triangles can be calculated using the:
Area = (1/2)height×base length
Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)
Area of three triangle = 1/2(24×3) = 36 square units
Area of the figure = area of three triangle + area of the rectangle
= 36 + 6×4
= 60 square units
Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
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Evaluate. (jk - 1 ) + j when j = - 4 and k = 5
Answer:
Step-by-step explanation:
(-4*5 - 1) + (-4)
(-20 - 1) - 4
-21 - 4
-25
At a carnival game, it cost Kennedy $30 to toss 78 rings. Fill out a table of equivalent ratios and plot the points on the coordinate axes provided.
A table of equivalent ratios for the number of toss and amount of dollars is as follows:
Toss Dollars
13 5
78 30
130 50
What is a proportional relationship?In order to have a proportional relationship and equivalent ratios, the variables x for toss and y for dollars must have the same constant of proportionality.
Next, we would determine the constant of proportionality (k) as follows:
Constant of proportionality (k) = y/x
Constant of proportionality (k) = 78/30
Constant of proportionality (k) = 2.6.
When toss y = 13, the amount of dollars x is given by:
x = y/k
x = 13/2.6
x = 5.
When the amount of dollars x = 50, the number of toss y is given by:
y = kx
y = 2.6(50)
y = 130.
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Find an explicit formula for the following sequence, an which starts with a1=−1. −1,1/2,−1/3,1/4,−1/5,…
Answer:
The sequence can be represented by the formula of its nth term:
\(a_n=\frac{(-1)^n}{n}\)
Step-by-step explanation:
Notice that we are in the presence of an alternate sequence (the values alternate from negative to positive. Therefore we need to take into account that there should be a factor "-1" raised to the "n" value for the sequence. Also, given that the sequence looks in absolute value like the harmonic sequence, we conclude upon the following general form for the "nth" term of the sequence:
\(a_n=\frac{(-1)^n}{n}\)
How do you do the work on this problem I’ve been stuck in it for a couple hours now.
56.2 m
Step-by-step explanation:
We can solve for the maximum height by calculating the derivative of y with respect to time and then equating it to zero, i.e.,
\(\dfrac{dy}{dt} = 0\)
then solve for the time t that satisfies the equation above. The expression for the height y is
\(y = 60t - 16t^2\)
Taking the derivative of this expression, we get
\(\dfrac{dy}{dt} = 60 - 32t = 0 \Rightarrow t = \dfrac{60}{32} = 1.9\:\text{s}\)
This means that at t = 1.9 s, the ball would have reached its maximum height. To determine this height, use this value for t in the the equation for y to get
\(y = 60(1.9\:\text{s}) - 16(1.9\:\text{s})^2 = 56.2\:\text{m}\)
230.76 divided by 14.80
Answer:
15.5918918919
Step-by-step explanation:
Answer:
15.5918918919
Step-by-step explanation:
Because I did it on a calculator.
Find the image of A(4, 2) after the following transformations
a. (1,4) ∘ (−) (4, 2)
b. (−) ∘ (1,4) (4, 2)
HELP PLEASE
PRETTY PLS HELPPPP!/ Kyle has a storage box that is 2 ft. long, 3 ft. high, and has a volume of 12 ft. 3 . Myla has a storage box that is 4 ft. high, 2 ft. long, and has a volume of 16 ft. 3 . What are the widths of Kyle and Myla's boxes? Explain how you know.
Answer:
Kyle box width is 2 and myla box width is 2
Step-by-step explanation:
The formula for Volume is LxWxH. 2 x 3 = 6. 12/6 = 2 and for myla box 4x2 =8. 16/8 = 2. ngl i think i deserve brainlest.
A researcher extracts information about hospital readmissions from a population of 6,000 client records. The researcher samples every 20th record from the population, beginning with record number 5. What type of sampling did the researcher use?
Answer: Systematic sampling
Step-by-step explanation:
Systematic sampling is a method when sample members from a population are selected based on a random starting point but in this case, there's a fixed, periodic interval.
It involves the selection of every kth case from the population given. Since the researcher extracts information about hospital readmissions from a population of 6,000 client records and samples every 20th record from the population, beginning with record number 5, then this is a systematic sampling.
Given the two functions, which statement is true? f(x) = 3x, g(x) = 3x + 5 Question 12 options: g(x) is translated up 5 units compared to f(x) g(x) is translated left 5 units compared to f(x) g(x) is translated down 5 units compared to f(x) g(x) is translated right 5 units compared to f(x)
The correct statement is: g(x) is translated up 5 units compared to f(x).
The correct answer is A.
To determine the translation between the two functions, we can observe that the only difference between them is the constant term.In f(x) = 3x, there is no constant term, so the graph of f(x) passes through the origin (0, 0).In g(x) = 3x + 5, there is a constant term of 5 added to the function. This means that the graph of g(x) is shifted vertically upward by 5 units compared to the graph of f(x).Therefore, g(x) is translated up 5 units compared to f(x).The correct answer is A.
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Janae solved the equation 3.67 = c − 2.13 , and found the value for c. Janae's solution was c =1.54 Do you agree or disagree with her solution
Answer:
Disagree
Step-by-step explanation:
\(3.67 = c - 2.13 \\ 3.67 + 2.13 = c \\5.8 0 = c\)
Gravity acceleration at the Earth surface is 9.81 m/s². What is the acceleration in inches/s² (rounded to the nearest tenth) ?
Rounded to the nearest tenth, the acceleration in inches per second squared is approximately 15222.8 in/s².
To convert the acceleration from meters per second squared (m/s²) to inches per second squared (in/s²), we need to use the conversion factor between the two units.
1 meter is equal to 39.37 inches.
To convert the units, we can set up the following conversion factor:
1 m/s² = (39.37 in/m)^2 = 1550.0031 in/s²
Now, we can multiply the given acceleration in m/s² by the conversion factor to obtain the acceleration in in/s²:
Acceleration in in/s² = 9.81 m/s² * 1550.0031 in/s²
Acceleration in in/s² ≈ 15222.7568 in/s²
Rounded to the nearest tenth, the acceleration in inches per second squared is approximately 15222.8 in/s².
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plz help
what expression should be substituted for y in the equation 5x+2y=25 to solve the system of equations?
4x+y=-12
5x+2y=25
A) -4x-12
B)\(-\frac{y}{4} -3\)
C)\(-\frac{5}{2}x+\frac{25}{2}\)
D)\(-\frac{2}{5}y+5\)
Help me need a good grade because this is a important test or im gettin my hind clapped
Answer:
You aren't allowed to post tes questions, oh well I will help though. The answer is going to be 3/8 miles I believe.
Step-by-step explanation:
3/4 - 3/8 = 6/8 - 3/8 = 3/8
It is reported that the wild tiger population has declined by 97%
over the last 20 years.
There are now 3200 tigers left in the wild.
To the nearest thousand, how many wild tigers were there 20 years ago?
The nearest thousand, there were an estimated 116,000 wild tigers 20 years ago.
Determine Percentage decrease theory.The percentage decrease theory suggests that a decrease in the price of a product or service will lead to an increase in demand for that product or service.
This theory is based on the idea that consumers are more likely to buy a product or service if its price is lower. This theory can be applied to both new and existing products or services.
For example, a retailer may decide to decrease the price of a product in order to attract more customers and increase sales. Similarly, a company may choose to reduce the cost of a service in order to make it more attractive to potential customers.
This question is using the percentage decrease theory. According to this theory,
you can calculate the percentage decrease by subtracting the current value from the original value and then dividing by the original value.
Step 1: Subtract the current number of wild tigers (3200) from the original number of wild tigers (20 years ago).
Original - Current = Change
120,000 - 3200 = 116,800
Step 2: Divide the change (116,800) by the original number of wild tigers (120,000)
Change / Original = Percentage Change
116,800 / 120,000 = 97%
Step 3: Multiply the percentage change (97%) by the original number of wild tigers (120,000)
Percentage Change x Original = Estimated Original
97% x 120,000 = 116,400
Therefore, to the nearest thousand, there were an estimated 116,000 wild tigers 20 years ago.
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Complete the sentences to explain how to find which number is less, 465 or 483. First, compare digits in the place. Next, compare the digits in the place, because both place are the same. tens is less than tens, so is less than
Answer:
Explanation:
Here, we want to compare the numbers
First, we compare the digits in the hundreds place.
Next, compare digits in the tens place, because both digits in the hundreds place are the same
465 tens is less than 483 tens, so 465 is less than 483
I have a problem with a concept in math and I want to know how to solve it
Given
diameter = 5 inches
d: diameter
Procedure
the formula for the circumference of a circle is 2 x pi x r(radius).
r = d/2
r = 5/2 = 2.5 inches
\(\begin{gathered} C=2\pi r \\ C=2\cdot3.14\cdot2.5 \\ C=15.7\text{ inches} \\ \end{gathered}\)The answer would 16 inches (rounded)
Let the sequence an be defined recursively by a1 = sqrt{3} and an = sqrt{3 + 2an-1} for n >= 1. then,
1) Show that the sequence {an} is convergent.
2) Find the limit of the sequence (if it exists).
hmmmm probley search it up on chegg
Step-by-step explanation:
Below are the times (in days) it takes for a sample of 17 customers from Andrew's computer store to pay their invoices.
19, 15, 43, 39, 35, 31, 27, 34, 34, 30, 30, 26, 26, 26, 21, 21, 17
Draw the histogram for these data using an initial class boundary of 14.5, an ending class boundary of 49.5, and 5 classes of equal width. Note that you can add
or remove classes from the figure. Label each class with its endpoints.
Frequency
:lolo:0
x
?
7-
6+
5+
4+
3+
2+
0
0
0
Time (in days)
Answer:
Step-by-step explanation:
Hello!
The variable of interest is X: time it takes a customer from Andrew's computer store to pay his invoices.
You have the information of a sample of n= 17 customers
19, 15, 43, 39, 35, 31, 27, 34, 34, 30, 30, 26, 26, 26, 21, 21, 17
To determine the class width of the intervals for the divide the difference between the ending and initial class boundaries by the number of intervals that you want to determine:
Class width: (49.5-14.5)/5= 7
Then, starting from the initial class boundary, you have to add the class width to determine the next boundary, and so on until the ending class boundary:
Initial class boundary: 14.5
14.5 + 5.6= 20.1
1st interval: [14.5; 21.5]
and so on:
[21.5; 28.5]
[28.5; 35.5]
[35.5; 42.5]
[42.5; 49.5]
Once you determined all class intervals, you have to order the values of the data set from least to greatest and then count how many observations correspond to each interval and arrange it in a frequency table.
15, 17, 19, 21, 21, 26, 26, 26, 27, 30, 30, 31, 34, 34, 35, 39, 43
[14.5; 21.5] ⇒ 5
[21.5; 28.5] ⇒ 4
[28.5; 35.5] ⇒ 6
[35.5; 42.5] ⇒ 1
[42.5; 49.5] ⇒ 1
Once you have the data set organized in the table, you can proceed to draw the histogram.
(See attachment)
I hope this helps!
Match each function on the left to all points on the right that would be located on the graph of the function. Help!! thanks
Each function on the left should be matched to all points on the right that would be located on the graph of the function as follows;
f(x) = 2x + 2 ⇒ (0, 2).
f(x) = 2x² - 2 ⇒ (-1, 0).
\(f(x) = 2\sqrt{x+1}\) ⇒ (0, 2).
What is a function?In Mathematics and Geometry, a function is a mathematical equation which defines and represents the relationship that exists between two or more variables such as an ordered pair in tables or relations.
Next, we would determine the point or ordered pair that represent a solution on the graph of each of the function as follows;
For the ordered pair (0, 2), we have:
f(x) = 2x + 2
2 = 2(0) + 2
2 = 2 (True).
For the ordered pair (-1, 0), we have:
f(x) = 2x² - 2
0 = 2(-1)² - 2
0 = 2 - 2
0 = 0 (True).
For the ordered pair (0, 2), we have:
\(f(x) = 2\sqrt{x+1}\\\\2= 2\sqrt{0+1}\\\\2 = 2\sqrt{1}\)
2 = 2 (True).
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Find the distance between Georgetown and clayton on a map with a scale of 1 in: 14 mi if they are actually 28 mi apart.
The distance between Georgetown and clayton on the scale model is 2 inches.
What is scale?In math, the term scale is used to represent the relationship between a measurement on a model and the corresponding measurement on the actual object.
The distance between Georgetown and clayton on a map with a scale of 1 inches: 14 miles can be found as follows;
They are actually 28 miles.
Therefore,
14 miles = 1 inches
28 miles = ?
cross multiply
distance between Georgetown and clayton on the scale model = 28 / 14
distance between Georgetown and clayton on the scale model = 2 inches
Therefore, the distance on the scale model is 2 inches.
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Pythagorean identity to find sin(a) if cos(a)=0.4
Answer:
Pythagorean identity: sin²Ф + cos²Ф = 1
Step-by-step explanation:
The sine, cosine, and tangent values of an angle in a right-angled triangle are related by the Pythagorean identity, a fundamental trigonometric identity: sin²Ф + cos²Ф = 1
Given: cos(a) = 0.4 (we can use this to identify sin(a) ),
sin²(a) + (0.4)² = 1
sin²(a) = 1 - (0.4)²
sin²(a) = 1 - 0.16
sin²(a) = 0.84
Taking sq. roots on both sides will give,
sin(a) = ±√0.84
Sine is positive in the first and second quadrants, which leads us to the following conclusion:
sin(a) = +√0.84
Thus, rounding to two decimal places, sin(a) is almost equal to 0.917 or 0.92.
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Sample response: The product of two numbers with
different signs is negative, so 2(-12) = -24, not 24. Then
-24-(-30) = -24 + 30 = 6.
Select all the information you considered when writing
your response.
The product or quotient of two integers with
different signs is negative.
To subtract an integer, add its opposite.
To add integers with opposite signs, subtract the
absolute values. The sum has the same sign as the
integer with the greater absolute value.
By considering these rules and properties of integers, the correct result of 6 was obtained.
When writing the response, I considered the following information:
The product or quotient of two integers with different signs is negative. This rule was used to determine that 2(-12) equals -24, not 24.
To subtract an integer, add its opposite. This rule was applied when subtracting -30 from -24, resulting in -24 - (-30) = -24 + 30.
To add integers with opposite signs, subtract the absolute values. The sum has the same sign as the integer with the greater absolute value.
This rule was used to calculate -24 + 30 = 6, where the absolute value of 30 is greater than the absolute value of -24.
By considering these rules and properties of integers, the correct result of 6 was obtained.
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Two points on a line are (5,8) and (6,9), respectively. What is the slope?
A.2
B.-2
C.1/2
D.1
E.-1
Answer:
D. 1
Step-by-step explanation:
Given points are: (5,8) and (6,9)
\(\implies x_1=5,\: x_2=6,\: y_1=8,\: y_2=9\)
Formula for slope of a line is give as:
\(Slope \: of\: line =\frac{y_2-y_1}{x_2-x_1}\)
Plugging in the values of \( x_1,\: x_2\: and\:y_1,\: y_2\) in the above formula, we find:
\(Slope \: of\: line =\frac{9-8}{6-5}\)
\(Slope \: of\: line =\frac{1}{1}\)
\(Slope \: of\: line =1\)
Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options.
The radius of the circle is 3 units.
The center of the circle lies on the x-axis.
The center of the circle lies on the y-axis.
The standard form of the equation is (x – 1)² + y² = 3.
The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
The three statements that are true include the following:
A. The radius of the circle is 3 units.
B. The center of the circle lies on the x-axis.
D. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
What is the equation of a circle?In Mathematics, the standard form of the equation of a circle is represented by this mathematical expression;
(x - h)² + (y - k)² = r² .......equation 1.
Where:
h and k represents the coordinates at the center of a circle.
r represents the radius of a circle.
Based on the information provided, we have the following equation of a circle:
x² + y² – 2x – 8 = 0 ......equation 2.
In order to determine the true statements, we would rewrite the equation in standard form and then factorize by using completing the square method:
x² – 2x + y² = 8 = 0
x² – 2x + (2/2)² + y² = 8 + (2/2)²
x² – 2x + 1 + y² = 8 + 1
(x – 1)² + (y - 0)² = 9 .......equation 3.
By comparing equation 1 and equation 3, we have the following:
Center (h, k) = (1, 0)
Radius (r) = 3
Additionally, this line and the center of the given circle lies on the x-axis (x-coordinate) because the y-value is equal to zero (0).
(x - 0)² + (y - 0)² = 3²
x² + y² = 9.
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