3 ft
14 ft
16 ft
What is the area of the Japanese garden around the koi pond? Use 3.14 for x
195.74ft?
224.00ft?
252.26ft?
337.04f2
Answers
Answer:
195.74
Step-by-step explanation:
The whole area including the circle is 224
14×16=224
If you don't include the circle it must be less than including it. This is the only option less than 224
Related Questions
Which graph represents the solution set to the system of inequalities?
{ Y ≤ 1/4X-2
Y ≥ −54X+2
ANSWER Down Below
Answers
The graph of the system of inequalities:
y ≤ (1/4)*x - 2
y ≥ −(5/4)x +2
Is in the image at the end.
Which is the graph of the system of inequalities?Here we have the system of inequalities:
y ≤ (1/4)*x - 2
y ≥ −(5/4)x +2
To graph this, we just need to graph both of the linear equations, and we need to shade the region below the first line (the one with positive slope) and the region above the second line, the one with negative slope.
Then the graph of the system of inequalities is the graph you can see in the image at the end of the answer.
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Pls help me with my math
Answers
Answer:
The definition for the given piecewise-defined function is: \(\boxed{\displaystyle\sf\ Option\:D:\:\: f(x) = \begin{cases}\displaystyle\sf\ x + 2 & \sf\:{if\:\:x \leq -1} \\\displaystyle\sf\ 2x + 4 & \sf\:{if\:\:x > -1}\end{cases}}\).
Step-by-step explanation:
General Concepts:Piecewise-defined functions.Interval notations.What is a piecewise-defined function?
A piecewise-defined function represents specific rules over different intervals of the domain.
Symbols used in expressing interval notations:Open interval: This means that the endpoint is not included in the interval.
We can use the following symbols to indicate the exclusion of endpoints in the interval:
Left or right parenthesis, "( )" (or both). Greater than (>) or less than (<) symbols. Open dot "\(\circ\)" is another way of expressing the exclusion of an endpoint in the graph of a piecewise-defined function.Closed interval: This implies the inclusion of endpoints in the interval.
We can use the following symbols to indicate the inclusion of endpoints in the interval:
Open- or closed brackets (or both), "[ ]." Greater than or equal to (≥) or less than or equal to (≤) symbols. Closed circle or dot, "•" is another way of expressing the inclusion of the endpoint in the graph of a piecewise-defined function. Determine the appropriate function rule that defines different parts of the domain.The best way to determine which piecewise-defined function represents the graph is by observing the endpoints and orientation of both partial lines.
Open circle on (-1, 2): The graph shows that one of the partial lines has an excluded endpoint of (-1, 2) extending towards the right. This implies that its domain values are defined when x > -1. Closed circle on (-1, 1): The graph shows that one of the partial lines has an included endpoint of (-1, 1) extended towards the left. Hence, its domain values are defined when x ≤ -1.Based on our observations from the previous step, we can infer that x > -1 or x ≤ -1 apply to piecewise-defined functions A or D. However, only one of those two options represent the graph.
Solution:a) Test option A:\(\boxed{\displaystyle\sf Option\:A)\:\:\:f(x) = \begin{cases}\displaystyle\sf\ 2x + 2 & \sf\:{if\:\:x \leq -1} \\\displaystyle\sf\ x + 4 & \sf\:{if\:\:x > -1}\end{cases}}\)
Piece 1: If x ≤ -1, then it is defined by f(x) = 2x + 2.We must choose a domain value that falls within the interval of x ≤ -1 whose output is included is included in the graph of the partial line with a closed dot.
Substitute x = -2 into f(x) = 2x + 2:
f(x) = 2x + 2f(-2) = 2(-2) + 2f(-2) = -4 + 2f(-2) = -2 ⇒ False statement.⇒ The output value of f(-2) = -2 is not included in the graph of the partial line whose endpoint is at (-1, 1).
Piece 2: If x > -1, then it is defined by f(x) = x + 4.
We must choose a domain value that falls within the interval of x > -1 whose output is included in the graph of the partial line with an open dot.
Substitute x = 0 into f(x) = x + 4:
f(x) = x + 4f(0) = (0) + 4f(0) = 4 ⇒ True statement.⇒ The output value of f(0) = 4 is included in the graph of the partial line whose endpoint is at (-1, 2).
Conclusion for Option A:
Option A is not the correct piecewise-defined function because one of the pieces, f(x) = 2x + 2, does not specify the interval (-∞, -1].
b) Test option D:\(\boxed{\displaystyle\sf Option\:D)\:\:\:f(x) = \begin{cases}\displaystyle\sf\ x + 2 & \sf\:{if\:\:x \leq -1} \\\displaystyle\sf\ 2x + 4 & \sf\:{if\:\:x > -1}\end{cases}}\)
Piece 1: If x ≤ -1, then it is defined by f(x) = x + 2.We must choose a domain value that falls within the interval of x ≤ -1 whose output is included is included in the graph of the partial line with a closed dot.
Substitute x = -2 into f(x) = x + 2:
f(x) = x + 2f(-2) = (-2) + 2f(-2) = 0 ⇒ True statement.⇒ The output value of f(-2) = 0 is included the graph of the partial line whose endpoint is at (-1, 1).
Piece 2: If x > -1, then it is defined by f(x) = 2x + 4.
We must choose a domain value that falls within the interval of x > -1 whose output is included is included in the graph of the partial line with an open dot.
Substitute x = 0 into f(x) = 2x + 4:
f(x) = 2x + 4f(0) = 2(0) + 4f(0) = 0 + 4 = 0 ⇒ True statement.⇒ The output value of f(0) = 4 is included in the graph of the partial line whose endpoint is at (-1, 2).
Final Answer:
We can infer that the piecewise-defined function that represents the graph is:
\(\boxed{\displaystyle\sf\ Option\:D:\:\: f(x) = \begin{cases}\displaystyle\sf\ x + 2 & \sf\:{if\:\:x \leq -1} \\\displaystyle\sf\ 2x + 4 & \sf\:{if\:\:x > -1}\end{cases}}\).
________________________________________
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What property does the following expression demonstrate? 9(3x) = (9x3)x
Answers
Answer: x=0,\root(3)(3)
Step-by-step explanation: Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
Brainliest or a thank you please? :))
9514 1404 393
Answer:
associative property of multiplication
Step-by-step explanation:
We assume your equation is ...
9(3x) = (9·3)x
The parentheses have moved to a different portion of the product. This is allowed by the associative property of multiplication. It lets you associate parts of the product any way you like.
_____
Additional comment
It is not a good idea to use "x" to indicate multiplication in an expression in which "x" is a variable. There are many other ways to indicate multiplication, including using the "times" symbol (×).
Subtract these fractions with unlike denominator 7/2 - 8/10
Answers
The question given is
\(\frac{7}{2}-\frac{8}{10}\)Step 1: Calculate the L.C.M of 2 and 10
Step 2: Adjust the Denominator based on the L.C.M
\(\begin{gathered} \frac{7}{2}-\frac{8}{10} \\ \frac{=(7\times5)-(8\times1)}{10} \\ =\frac{35-8}{10} \\ =\frac{27}{10} \end{gathered}\)Hene,
The final answer = 27/10
431.67 In a different number, the 4 represents a value which is one-tenth of the value of the 4 in the number above. What value is represented by the 4 in the other number?
Answers
So the different number has a 4 with a value of 40.
What is Algebraic expression ?
Algebraic expression can be defined as combination of variables and constants.
To solve this problem, we need to first identify the place value of the digit 4 in the given number.
The digit 4 is in the hundreds place in the number 431.67, so its value is 4 x 100 = 400.
According to the problem statement, the 4 in the different number represents a value which is one-tenth of the value of the 4 in 431.67. Therefore, the value of the 4 in the different number is:
400/10 = 40
To determine the value of the different number, we need to look at the other digits in the number. Since we don't have any information about the other digits, we cannot determine the value of the different number. The answer is that the value of the different number cannot be determined with the information given.
Therefore, So the different number has a 4 with a value of 40.
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If there are 30 king sized candy bars in a box and the box sells for $70.50 , how much does each candy bar in the box cost? Please help this paper is due tmr and I get my progress report tmr!!!
Answers
The cost of one candy bar is $2.35.
What is a unit price?The meaning of unit price is a price quoted in terms of so much per agreed or standard unit of product or service.
Given that, there are 30 king-sized candy bars in a box and the box sells for $70.50, we need to find that how much does each candy bar in the box cost,
Since, the cost of all 30 candies is given collectively, i.e. $70.50,
We will divide the cost of the whole box by the number of candies to find the unit price of the candies,
Unit price = $70.50 / 30
= $2.35
Hence, the cost of one candy bar is $2.35.
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find the area of this parallelogram with the measurements 5.2cm and 8.4cm
Answers
Answer:
43cm square
Step-by-step explanation:
A= bh
A=8.4cm x 5.2cm
A=43.68cmsqr
mrs. watson is buying vintage records for a friend at a local records shop. Thre price of a record is based on its condition. The table shows the total cost of x number of records for each condition.
Answers
The equation for total cost of buying and shipping the records is
76.4x + 80
We have,
She buys 3 in good condition
So, the cost for 3 good condition
= 3 (10.5x)
= 31.5 x
and, She buys 1 in Fair condition
So, the for 1 fair condition
= 5x
and, She buy 2 new condition then the price is
= 39.9 x
So, the equation for total cost of buying and shipping the records is
= 31.5x + 5x + 39.9x + 8
= 76.4x + 8
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may i please get help for this please and thank you
Answers
Because 2= 125 that means that 7 is also 125 and 6 so you subtract 125-180= 55
1. Lindsey is designing a stained glass window using parallelograms. She draws a model before starting her work. In her model, BCGF and CDHG are parallelograms and BC ≅CD. Find all the segments that are congruent to KG
A. KD, CJ
B. KD
C. KD, CJ, JF, KH, JG
D. KD, CJ, JF
2. Determine whether the statement is always, sometimes, or never true. Explain your reasoning.
In parallelogram MNPQ, the diagonals MP and NQ meet at R with MP=2RP
A. Always. Diagonals of a parallelogram bisect each other.
B. Sometimes. MR¯¯¯¯¯¯¯¯¯ and RP¯¯¯¯¯¯¯¯ may or may not be congruent.
C. Never. The relationship between MP and RP should be MP=3RP.
D. Never. Diagonals of a parallelogram do not bisect each other.
Answers
Answer:
D: KD, CJ, JF
Step-by-step explanation:
I just took the quick check and it was right.
Which box plot best represents the data?
Answers
The box plot that best represents the data is given as follows:
Box plot C.
What does a box and whisker plot shows?A box and whisker plot shows these five metrics from a data-set, listed and explained as follows:
The minimum non-outlier value.The 25th percentile, representing the value which 25% of the data-set is less than and 75% is greater than.The median, which is the middle value of the data-set, the value which 50% of the data-set is less than and 50% is greater than%.The 75th percentile, representing the value which 75% of the data-set is less than and 25% is greater than.The maximum non-outlier value.The ordered data-set for this problem is given as follows:
0, 4, 4, 5, 6, 6, 8, 8, 12, 12.
The minimum and maximum values are given as follows:
Minimum of 0.Maximum of 12.The two middle elements are given as follows:
6 and 6.
Hence the median is:
(6 + 6)/2 = 6.
The first half is 0, 4, 4, 5, hence the first quartile is given as follows:
4.
The second half is 8, 8, 12, 12, hence the third quartile is given as follows:
8.
Hence box plot C is the correct option.
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la edad de Ana es la mitad de jose y dentro de 10 años seran dos tercios ..cual es la edad de jose
Answers
La edad actual de José es de 30 años.
Para resolver este problema, primero debemos establecer ecuaciones basadas en la información proporcionada. Llamemos "x" a la edad actual de José y "y" a la edad actual de Ana. Según la primera condición, la edad de Ana es la mitad de la edad de José, por lo que podemos escribir la ecuación: y = (1/2)x.
La segunda condición nos dice que dentro de 10 años, sus edades serán dos tercios de sus edades actuales. Esto se puede expresar como: (x + 10) * (2/3) = y + 10.
Reemplazando el valor de y en la segunda ecuación con la primera ecuación, obtenemos: (x + 10) * (2/3) = (1/2)x + 10.
Resolviendo esta ecuación, podemos simplificarla y llegar a: 2(x + 10) = 3[(1/2)x + 10].
Al resolver la ecuación resultante, encontramos que x = 30.
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15 is 37 1/2 of what number?
Answers
Answer: 40
Step-by-step explanation:
15 / 37.5 x 100 = 40
1. Mabonka went to Staples to buy some school supplies for the new school year. She
only paid $21 for the items, but there was a 30% off sale. What was the original price
of the school supplies?
Answers
Answer:
$70
Step-by-step explanation:
x × 0.30 = 21
reverse
21 ÷ 0.30
=70
Original Price was $70
What is the meaning of "If every element x of X is identified with the corresponding one-term sequence (x)"?
Answers
The phrase "If every element x of X is associated with the equivalent one-term sequence (x)" states that there's a corresponding one-term sequence (x) appropriately represents each element x in collection X.
What exactly is a sequence in mathematics?Sequences are ordered sequences of integers (called "terms") like 2,5,8. Certain sequences follow a specific pattern that can be utilised to expand them forever. For example, 2,5,8 follows the pattern "add 3," allowing us to continue with the series. Sequences contain formulas that tell us how to discover any term in a series.
What are the four kinds of sequences?You should be familiar with four sorts of sequences: arithmetic sequences, geometric sequences, quadratic sequences, and special sequences.
If X is the set 1, 2, 3, then the corresponding one-term sequences on every element are (1), (2), and (3), respectively.This notation is frequently used in mathematical contexts when discussing sequences. We can regard members of a set as sequences and apply sequence-related ideas and operations to them by associating them with one-term sequences.To know more about sequence visit:
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Please help with 4 5 and 6 please hurry!!! Will give grainliest, please its ok if its wrong
Answers
Answer:
Step-by-step explanation:
4.) y=2x
5.) y=5x+8
6.)y= (x/2)-6
need help quick, ez question
will give brainliest
Answers
The volume of the given triangular prism is 384 cm³.
What is the volume?Volume is the measure of the capacity that an object holds.
Formula to find the volume of the object is Volume = Area of a base × Height.
Here, the area of the base is
Area of a rectangle = 1/2 ×Base×Height
= 1/2 ×12×4
= 24 cm²
Now the volume is 24×16
= 384 cm³
Therefore, the volume of the given triangular prism is 384 cm³.
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Select the correct answer from each drop-down menu.
The table shows the cost of tickets at a carnival.
Number of Tickets Total Cost
1 $2.50
2 ?
3 $7.50
4 ?
5 $12.50
6 $15.00
7 $17.50
Assuming that the cost of tickets follows the same pattern as the number of tickets increases, find the values that are missing from the table and determine the total cost of nine tickets.
The cost of two tickets is
, the cost of four tickets is
, and the cost of nine tickets is
.
Answers
The missing values are 2.5, 10 and 22.5
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Using equation (y2-y1)/(x2-x1) to find the slope.
Now using two points as (5, 12.5) and (6, 15.00)
So, (15-12.5)/(6-5)
=2.5/1
=2.5
Hence, single ticket costs 2.5
For 2 tickets,
= 2.5×2=5
The cost of two tickets is $5
For 4 tickets,
= 4×2.5=10
The cost of four tickets is $10
For 9 tickets,
= 2.5×9=22.5
The price of nine tickets is $22.5.
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Consider the following figure:
Answers
Answer:
angle <B = 76
Step-by-step explanation:
The measure of an exterior angle is equal to sum of two interior angles that is not adjacent to the exterior angle.
We can write the following equation with this information to find the value of angle <B
<B + 71 = 147 subtract 71 from both sides
<B = 76
PLEASE HELP!!! The question is in an image....
Answers
9514 1404 393
Answer:
-√3
Step-by-step explanation:
We note that this matches the form for the tangent of the difference of two angles:
tan(α-β) = (tan(α) -tan(β))/(1 +tan(α)tan(βb))
Here, we have α = 25π/24 and β = 3π/8. Then the angle difference is ...
α -β = π(25/24 -3/8) = π(2/3)
The value you seek is ...
tan(2π/3) = -√3
Please i need the answer fast k12
Answers
(A) The range and IQR for boxplot 1 is 10 and 6 respectively.
(B) The range and IQR for boxplot 2 is 12 and 7 respectively.
What is the IQR?The interquartile range defines the difference between the third and the first quartile.
The formula for the interquartile range is given below.
Interquartile range = Upper Quartile – Lower Quartile = Q3 – Q1
What is the range?The range is the difference between the lowest and highest values.
The formula for the interquartile range is given below.
Range = Maximum – Minimum
(A) For boxplot 1, we need to find the range and IQR from the given data set.
So, let 34 be the maximum and 24 be the minimum.
\(\text{Range}=\sf 34-24\)
\(\text{Range}=\sf10\)
Therefore, the range is 10.
Now time to find the IQR.
So, let 33 be Q3 and 27 be Q1.
\(\text{IQR}=\sf 33-27\)
\(\text{IQR}=\sf 6\)
Therefore, the IQR is 6.
(B) Now for boxplot 2, we will do the same thing as from part A.
Let's find the range.
So, let 24 be the maximum and 12 be the minimum.
\(\text{Range}=\sf 24-12\)
\(\text{Range}=\sf12\)
Hence, the range is 12.
Now for the IQR.
So, let 22 be Q3 and 15 be Q1.
\(\text{IQR}=\sf 22-15\)
\(\text{IQR}=\sf 7\)
Hence, the IQR is 7.
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present ages of two children are 2 and 5 years the rspectively. After how long will the sum of their square ages be 45.
Answers
Using the concept of word problems and quadratic equation it will take 1 year until the sum of square of their ages be 45.
Calculating the duration to get the sum to 45Word problems are mathematical problems that are delivered in ordinary words, instead of mathematical symbols.
Part of the problem with dealing with word problems that they first need to be translated into mathematical equations, and then the equations need to be solved.In this problem;
let x represent the number of years from now when the sum of square of their respective age will be
45.(x + 2)² + (x + 5)² = 45
Expanding the brackets;
x² + 4x + 4 + x² + 10x + 25 = 45
2x² + 14x + 29 = 45
2x² + 14x + 29 - 45 = 0
2x² + 14x - 16 = 0
Solving the quadratic equation for x;
x = 1, x = -8
Taking the positive value, the value of x is 1
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What is the cushions for each
Answers
Answer:
proper information is not available in this question
b) 8xy +4y² factorise
Answers
Answer:
The answer is: 4y(2x+y)
Step-by-step explanation:
Select the correct answer.
Which statement is true about this equation?
-9(x + 3) + 12 = -3(2x + 5) - 3x
The equation has one solution, x = 1.
OB.
The equation has one solution, x = 0.
O C.
The equation has no solution.
O D. The equation has infinitely many solutions.
O A.
Reset
Next
Answers
Answer:
Infinite solutions (D).
Step-by-step explanation:
Here is how:
To determine the true statement about the given equation, let's simplify it step by step:
-9(x + 3) + 12 = -3(2x + 5) - 3x
Distributing the -9 and -3 on the left and right sides respectively:
-9x - 27 + 12 = -6x - 15 - 3x
Combining like terms:
-9x - 15 = -9x - 15
Now, let's analyze the equation. We have -9x on both sides, and -15 on both sides. By subtracting -9x from both sides and -15 from both sides, we obtain:
0 = 0
This equation is true regardless of the value of x. In other words, it holds for all values of x. Therefore, the equation has infinitely many solutions.
Answer:
The correct answer is: "The equation has one solution, x = 0"
Name a point that is collinear with points E and H.
Answers
Answer:
Point J
Step-by-step explanation:
Collinear means in a line
Point J is on the same line with E and H
"We should express our emotions in a manner that doesn't hurt others or harm our emotional well-being" Do you agree? Explain with an example. plzz help me I will the best ans brainliest ( and also this is MORAL SCIENCE)
Answers
It should be noted that we should express our emotions in a manner that doesn't hurt others. Therefore, the statement is logically true.
What is emotion?Emotion simply means the feeling that's conveyed through our words or actions.
It's important for us to consider others whenever we are doing a particular thing. Therefore, we should express our emotions in a manner that doesn't hurt others.
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Suppose that the annual interest rates on mortgages in the U.S. are normally distributed with an unknown mean and standard deviation. The rates of 22 randomly sampled mortgages (home loans) are used to estimate the mean of the population. What t-score should be used to find the 98% confidence interval for the population mean?
Answers
Answer:
The value is \(t_{\frac{\alpha }{2} , 21 } = 2.518\)
Step-by-step explanation:
From the question we are told that
The sample size is n = 22
Generally the degree of freedom is mathematically represented as
\(df = n- 1\)
=> \(df = 22- 1\)
=> \(df = 21\)
From the question we are told the confidence level is 98% , hence the level of significance is
\(\alpha = (100 - 98 ) \%\)
=> \(\alpha = 0.02\)
Generally from the t distribution table the critical value of \(\frac{\alpha }{2}\) at a degree of freedom of \(df = 21\) is
\(t_{\frac{\alpha }{2} , 21 } = 2.518\)
You are taking samples from a normally distributed population with mean 138 and standard deviation 14. Your batch size is 16. Let X-bar be the average of all 16 of your samples. What is the variance of X-bar?
Answers
The variance of X-bar is 12.25.
To find the variance of the sample mean (X-bar) for a normally distributed population, we can use the formula:
Variance of X-bar = (Population Variance) / (Sample Size)
In this case, the population mean (μ) is 138 and the standard deviation (σ) is 14. The population variance (σ^2) can be calculated as the square of the standard deviation, which gives us 14^2 = 196.
Since we are sampling with a batch size of 16, the sample size is also 16.
Now we can substitute these values into the formula:
Variance of X-bar = 196 / 16 = 12.25
Therefore, the variance of X-bar is 12.25.
It's important to note that the sample mean (X-bar) is an unbiased estimator of the population mean (μ). The smaller the sample size, the greater the variability of X-bar around the population mean.
As the sample size increases, the variance of X-bar decreases, indicating a more precise estimate of the population mean.
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Find the Mean Absolute Deviation (MAD) of the following test scores.
Remember, the Mean is just the first step.
Scores:
{ 48, 61, 73, 76, 76, 74 }
Answers
Based on the calculation below, the Mean Absolute Deviation (MAD) of the test scores is 0.
How to calculate Mean Absolute Deviation (MAD)The mean of the 6 test scores is first calculated as follows:
Mean = Sum of the test scores / Number of test scores = (48 + 61 + 73 + 76 + 76 + 74) / 6 = 68
We can now calculate the MAD of the test scores as follows:
MAD = Sum of deviations of all the test scores from the Mean / Number of test scores = ((48 - 68) + (61 – 68) + (73 – 68) + (76 – 68) + (76 – 68) + (74 – 68)) / 6 = 0 / 6 = 0
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