The height of rectangle is equal to its breadth or vertical side length.
what is rectangle?A figure which has four straight sides along with 4 right angles is called rectangle. Two equal side lengths are parallel to each other, and the bigger sides are called length of rectangle and smaller sides are called breadth.
How to calculate height of rectangle?we can determine the height of rectangle by the following formula
if a rectangle has length, A and breadth, B
we know the area of rectangle is the product of length and breadth.
Area =A×B
we know the position of A is along the horizontal and position of B is along the vertical. Therefore, breadth, B refers the height of rectangle.
if we know the value of area and length we will find the height.
breadth = Area/length
height = Area/length
hence, the height of rectangle is its vertical side length.
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Twice a certain whole number subtracted from 3 times the square of the number leaves 133.
The required whole number, is either -19/3 or 7 which satisfied the given conditions
let us consider the whole number be x .
we have given the following
the twice a certain whole number i.e x and subtracted it from 3 times the square of the number leaves 133. Mathematically ,
3x^2 - 2x = 133
=> 3x^2 - 2x - 133 = 0
Factorize the above formula we get
=> (3x + 19)(x - 7)= 0
=> 3x + 19 = 0
=> 3x = -19
=> x = -19/3
=> x - 7 = 0
=> x = 7
Hence, possible value of x a whole number is either equal -19/3 or 7.
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Write the equation of the graph shown below in factored form.
F(x) = (x - 1)^2(x - 1)(x + 3)
Ofb) = (x - 1)^2(x + 1)(x - 3)
Answer: A) f(x) = (x − 2)^2(x + 1)(x − 3)
Step-by-step explanation: The graph shows the zeros to be -1, +2 (multiplicity 2), and +3.
When b is a zero, (x-b) is a factor. Then the factors of the function shown are ...
f(x) = (x -(-1))·(x -2)·(x -2)·(x -3)
f(x) = (x -2)^2(x +1)(x -3)
how do you surprise a blind person? you leave the plunger in the toilet !
I really need this thank you
slope intercept form: y=mx+b
y=2x-3
slope is also m
b is the y-intercept
answer:
slope is 2
y-intercept is -3
Select the equivalent expression.
1/3
Answer:
0.33
Step-by-step explanation:
1/3=0.33333333333333333
Answer:
3^-1
Step-by-step explanation:
land's bend sells a wide variety of outdoor equipment and clothing. the company sells both through mail order and via the internet. random samples of sales receipts were studied for mail-order sales and internet sales, with the total purchase being recorded for each sale. a random sample of 9 sales receipts for mail-order sales results in a mean sale amount of $72.10 with a standard deviation of $27.75 . a random sample of 13 sales receipts for internet sales results in a mean sale amount of $79.00 with a standard deviation of $25.75 . using this data, find the 95% confidence interval for the true mean difference between the mean amount of mail-order purchases and the mean amount of internet purchases. assume that the population variances are not equal and that the two populations are normally distributed. step 1 of 3 : find the critical value that should be used in constructing the confidence interval. round your answer to three decimal places.
we are 95% confident that the true mean difference between the amount of mail-order purchases and the amount of internet purchases lies between -$23.09 and $9.29.
Step 1: Find the critical value that should be used in constructing the confidence interval.
Since the sample sizes are small (n1=9, n2=13), we will use the t-distribution for the interval estimate. The degrees of freedom is calculated using the formula:
df = [(s1^2/n1 + s2^2/n2)^2] / [((s1^2/n1)^2)/(n1 - 1) + ((s2^2/n2)^2)/(n2 - 1)]
Plugging in the values gives:
df = [(27.75^2/9 + 25.75^2/13)^2] / [((27.75^2/9)^2)/(9 - 1) + ((25.75^2/13)^2)/(13 - 1)] ≈ 17.447
Using a t-table with 17 degrees of freedom and a confidence level of 95%, we find the critical value to be 2.110.
Step 2: Calculate the point estimate of the difference between the means.
The point estimate of the difference between the means is:
1x - x2 = $72.10 - $79.00 = -$6.90
Step 3: Calculate the confidence interval.
The formula for the confidence interval for the difference between two population means is:
(1x - x2) ± tα/2 * sqrt[s1^2/n1 + s2^2/n2]
Plugging in the values gives:
(-$6.90) ± 2.110 * sqrt[27.75^2/9 + 25.75^2/13] ≈ (-$23.09, $9.29)
Therefore, we are 95% confident that the true mean difference between the amount of mail-order purchases and the amount of internet purchases lies between -$23.09 and $9.29.
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according to an article on the guardian website, a british woman born in 2003 has probability 0.27 of living at least 100 years. (a) suppose that you randomly select 200 women who were born in 2003. will exactly 54 of them live at least 100 years? explain your answer.
As per the given probability, 200 women who were born in 2003 those will exactly 54 of them live at least 100 years.
Probability:
Basically, Probability deals with the occurrence of a random event.
Given,
According to an article on the guardian website, a British woman born in 2003 has probability 0.27 of living at least 100 years.
Here we need to find that suppose that you randomly select 200 women who were born in 2003. will exactly 54 of them live at least 100 years? explain your answer.
While we looking into the given question we have identified that,
The probability of living 100 years for who born on 2003 = 0.27
So, let us consider , there are 100 members in the town then according to the given probability there are 27 members have the life span of 100 years.
So, for the 200 members there are 54 has the life span of 100 years.
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6. Consider the hyperbolic triangle with vertices at \( 0, \frac{1}{2} \), and \( \frac{1}{2}+\frac{1}{2} i \). Calculate the area of this triangle by determining the angle at each vertex.
The area of the hyperbolic triangle with vertices at 0, 1/2, and 1/2 + 1/2i is infinite.
To calculate the area of a hyperbolic triangle, we need to determine the angles at each vertex. In hyperbolic geometry, the hyperbolic angle is related to the Euclidean angle by a trigonometric function called the hyperbolic tangent.
Let's denote the vertices of the triangle as A(0), B(1/2), and C(1/2 + 1/2i). To find the angles, we can use the hyperbolic tangent between the sides passing through each vertex.
The hyperbolic tangent function is defined as:
tanh(x) = sinh(x)/cosh(x).
We will use the formula:
tanh(angle) = (ABAC - BCAD) / (ABAD + ACBC),
where AB, AC, and BC are the distances between the corresponding vertices.
First, let's calculate the distances between the vertices:
AB = |B - A| = |1/2 - 0| = 1/2,
AC = |C - A| = |1/2 + 1/2i - 0| = √[(1/2)^2 + (1/2)^2] = √2/2,
BC = |C - B| = |1/2 + 1/2i - 1/2| = |1/2i| = 1/2,
Now we can calculate the angles using the given formula:
Angle A: tanh(angleA) = (AB * AC - BC * AD) / (AB * AD + AC * BC)
Substituting the values, we get:
tanh(angleA) = (1/2 * √2/2 - 1/2 * 0) / (1/2 * 0 + √2/2 * 1/2)
tanh(angleA) = √2/4 / √2/4
tanh(angleA) = 1.
Since tanh(angleA) = 1, the angleA is infinite in hyperbolic geometry. This means that vertex A is at infinity, and the corresponding side has a length of infinity. Consequently, the triangle's area is infinite.
Therefore, the area of the hyperbolic triangle with vertices at 0, 1/2, and 1/2 + 1/2i is infinite.
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How many hundreds are
in 693?
Answer:
6
Step-by-step explanation:
You should break it up:
600, 90, 3
A hundred is 100; so taking the number with the 3 points, divide it by a hundred: which will give you 6
Answer:6
Step-by-step explanation:
Solve for x, similar triangles
The value of x, considering the similar triangles, is given as follows:
x = 6.
What are similar triangles?Similar triangles are triangles that share these two features given as follows:
Congruent angle measures.Proportional side lengths.There are two similar right triangles in this problem, with equivalent sides given as follows:
5x - 3 and 39 - (5x - 3)36 and 16.Then the proportional relationship for the side lengths is given as follows:
(5x - 3)/[39 - (5x - 3)] = 36/16
Then, simplifying the denominator on the left side, we have that:
(5x - 3)/(42 - 5x) = 36/16
Applying cross multiplication, an equation is built to solve for x as follows:
36(42 - 5x) = 16(5x - 3)
1512 - 180x = 80x - 48
260x = 1560
x = 1560/260
x = 6.
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x+y+z+4-2√(x-2)-4√(y-3)-6√(z-5)=0
Answer:
Step-by-step explanation:
Solve for X.
4(x - 3) - 5x >- 2
Answer:
x<-10
Step-by-step explanation:
4x-12-5x>-2
-1x-12>-2
+12 +12
-1x>10
-1x/-1>10/-1
x<-10
u switch the inequality when the number is divided by a negative number btw:) hope this helped:D
14-4 square 6 in surd form
4 square 6 in surd form is 4√6
What is Number system?A number system is defined as a system of writing to express numbers.
4 square 6 in surd form
Any number of the form n √a, which cannot be written as a fraction of two integers is called a surd.
4 square 6 in surd form is 4√6
Decimal Form is 9.8
Hence, 4 square 6 in surd form is 4√6
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An elevator was on floor number 27 of a hotel building when a guest on a different floor pushed the button to call the elevator. Over the next few minutes the elevator traveled up 6 floors, down 11 floors, up 3 floors, up 5 floors, and then down 14 floors. Write and evaluate an expression that models the situation. On what floor did the elevator finally stop?
The elevator finally stopped on the 16th floor.
What are expressions?In mathematics, an expression is a sentence that contains at least two numbers or variables and at least one mathematical operation. This math operation can be addition, subtraction, multiplication, or division. An expression has the following structure: (Number/variable, Math Operator, Number/variable)So, the expression would be:
6x - 11x + 3x + 5x - 14x = 2714x - 25x = 27-11x = 27Now,
27 - 11 = 16Therefore, the elevator finally stopped on the 16th floor.
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Solve for X
can you explain how to do this problem I'm not sure where to start. would really Appreciate it
Answer:
x = 48
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
156° is an exterior angle of the triangle, then
108 + x = 156 ( subtract 108 from both sides )
x = 48
kyland buys 0.2 ounces of lavender oil costing 18.75 an ounce she also buys 0.3 ounces of lemon oil costing 15.90 a pound if she uses a coupon for 5 of her order how much will her purchase cost?
Answer:
$3.52
Step-by-step explanation:
Lavender oil: $18.75/oz
Lemon oil: $15.90/oz
0.2 × $18.75 + 0.3 × $15.90 - 5 = $3.75 + $4.77 - $5 = $3.52
you can change the contents of a stringbuilder object, but you cannot change the contents of a string object. question 2 options: True or False
The required Answer that will help in the selection of the correct option from the given statement is True.
A string builder is considered a class in JAVA API where it provides the mutual sequence of characteristics. It is used for the requirement of dynamic string manipulation. Using it to form new characters in an existing string.
In comparison with string, the following points help in differentiating the ability, function, and purpose of their creation,
The string is immutable that cannot be changed after its creation.Any modification that takes place eventually creates a new set of strings, hence leaving the original or parent string unchanged. Unlike string builder, string can't be modified after it is been created.To learn more about string builder,
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consider this code: "int s = 20; int t = s++ + --s;". what are the values of s and t?
After executing the given code, the final values of s and t are s = 19 andt = 39
The values of s and t can be determined by evaluating the given code step by step:
Initialize the variable s with a value of 20: int s = 20;
Now, s = 20.
Evaluate the expression s++ + --s:
a. s++ is a post-increment operation, which means the value of s is used first and then incremented.
Since s is currently 20, the value of s++ is 20.
b. --s is a pre-decrement operation, which means the value of s is decremented first and then used.
After the decrement, s becomes 19.
c. Adding the values obtained in steps (a) and (b): 20 + 19 = 39.
Assign the result of the expression to the variable t: int t = 39;
Now, t = 39.
After executing the given code, the final values of s and t are:
s = 19
t = 39
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What is the main purpose of Business sustainability 2. Research and discuss the role of environmental management in sustainable business development 3. Discuss on the pillars of sustainability development 4. Research and discuss The Role of Stakeholder Analysis for Sustainable Development: Experiences from Rubber Cultivation in Southwest China
The main purpose of business sustainability is to achieve long-term success by balancing economic, social, and environmental concerns. It involves integrating sustainable practices into business strategies to create positive impacts on the environment, society, and stakeholders while ensuring profitability and resilience.
Environmental management plays a crucial role in sustainable business development. It involves identifying and managing environmental risks, implementing eco-friendly practices, reducing resource consumption, minimizing waste generation, and promoting environmental stewardship. By incorporating environmental management into their operations, businesses can enhance their sustainability performance, comply with regulations, improve brand reputation, and contribute to a healthier planet.
Stakeholder analysis plays a vital role in sustainable development, particularly in the context of specific industries or sectors. In the case of rubber cultivation in Southwest China, stakeholder analysis helps identify and understand the diverse stakeholders involved, such as rubber farmers, local communities, government agencies, environmental organizations, and consumers. By analyzing stakeholders' interests, concerns, and power dynamics, sustainable development initiatives can be tailored to address their needs effectively. Stakeholder engagement and collaboration are crucial for promoting sustainable practices, ensuring social acceptance, mitigating conflicts, and achieving sustainable outcomes in rubber cultivation and other industries.
Environmental management plays a vital role in sustainable business development. It involves assessing and managing environmental risks, implementing eco-friendly practices, complying with environmental regulations, and monitoring environmental performance. By adopting sustainable production processes, minimizing resource consumption, reducing emissions and waste generation, and promoting environmental stewardship, businesses can enhance their environmental performance. Effective environmental management not only benefits the environment but also leads to cost savings, improved efficiency, enhanced brand reputation, and reduced regulatory risks.
The pillars of sustainable development provide a framework for addressing the interconnectedness of economic, social, and environmental aspects. The economic pillar emphasizes the need for sustainable economic growth, productivity, and innovation while ensuring equitable distribution of resources. The social pillar highlights the importance of social well-being, equality, human rights, and inclusivity. The environmental pillar recognizes the significance of environmental conservation, resource efficiency, pollution prevention, and climate change mitigation. These pillars are interdependent, and progress in one pillar can influence the others. Sustainable development requires a balanced and integrated approach that considers all three dimensions.
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Burger = 8.00
Fries = 2.00
Drink = 1.00
Tax = 7%
Tip = 20%
Total = _______
Answer:
$13.79
Step-by-step explanation:
$8.00+$2.00+$1.00=$11.00
7%=$0.77
$11.00+$0.77=$11.77
20%=$2.02
$11.77+42.02=$13.79
-3.8x=-7.4
How do you solve this?
The perimeter of a rectangular piece of land is 280m. People divide the land into two small pieces: a square, a rectangle. The total perimeter of the two small plots is 390m. Calculate the area of the original piece of land.
Step-by-step explanation:
Length of the Rectangular piece of the land = 12 + 1/2 m = 25/2 m
Breadth of the Rectangular piece of the land = 5 + 1/5 m = 26/5 m
If 4 small square flower bed of side length 1 m are made at center.
To find: Area of the rectangular land , Perimeter of the rectangle and Area of land left when flower bed are mad.
Perimeter of the rectangle = 2 × ( length + breadth )
= 2 × ( 25/2 + 26/5 )
= 2 × ( 177/10 )
= 177/5 m
= 35.4 m
Area of the rectangular land = Length × Breadth
= 25/2 × 26/5
= 5 × 13
= 65 m²
Area of a flower bed = side × side = 1 × 1 = 1 m²
Area of 4 flower bed= 4 × 1 = 4 m²
Area left in the land = 65 - 4 = 61 m²
Therefore, Perimeter of the land is 35.4 m
Area of land is 65 m²
Area of the land left after flower beds is 61 m²
The Scenario: Your cousin Caleb has a dog-walking business, and you'd like to start one in your own neighborhood. Caleb has had his business for more than a year and has experimented with different prices for his services. He is willing to share what he has learned with you as you begin to plan your business. The Project: Use the information provided in the Performance Task to learn more about your competition and the costs of your business. See what you can discover by looking at Caleb's sales records to help you decide how to set up and price your own dog-walking services. Use the questions below to help you gather information and get your new business off to a profitable start.
Answer:
Where the information
Step-by-step explanation:
You find that your watch gains 2 minutes in 6 hours. how much will in gain in three days?
Answer: 12
Step-by-step explanation:
What is 2a+3b=5
B=a-5?
Answer:
a = 4
Step-by-step explanation:
Plug in the b-value which is a-5 into the equation to make it look like this, 2a + 3(a - 5) = 5. Then, distribute 3 into a - 5 to get 3a - 15 when expanded. Combine the two like terms 2a and 3a to get 5a. Then, add 15 on both sides to get to this equation which is 5a = 20. Divide 5 on both sides to get your a-value which is 4.
In Exercises 25 through 28, compute the given expression using the indicated modular addition.
25 7+_11 9
26. 3/4 + _2 15/11
27. 5п/3 + _2л бл/5
28 4√2+_√32 2√2
4√2 +_√32 2√2 is equal to 4√2. To compute the given expressions using modular addition, we need to perform addition modulo the given modulus.
Let's solve each exercise step by step:
7 +_11 9
To perform modular addition modulo 11, we add the numbers and take the remainder when divided by 11:
7 + 9 = 16
Now, we take the remainder when 16 is divided by 11:
16 mod 11 = 5
Therefore, 7 +_11 9 is equal to 5.
3/4 + _2 15/11
To perform modular addition modulo 15/11, we add the fractions and take the remainder when divided by 15/11:
3/4 + 15/11 = (33/44) + (60/44) = 93/44
Now, we take the remainder when 93/44 is divided by 15/11:
(93/44) mod (15/11) = (93/44) - (6/4) = (93/44) - (33/22) = (93 - 66)/44 = 27/44
Therefore, 3/4 +_2 15/11 is equal to 27/44.
5п/3 + _2л бл/5
To perform modular addition modulo 2п, we add the angles and take the remainder when divided by 2п:
5п/3 + 2п = (10п/3) + (6п/3) = 16п/3
Now, we take the remainder when 16п/3 is divided by 2п:
(16п/3) mod 2п = (16п/3) - (6п/3) = 10п/3
Therefore, 5п/3 +_2л бл/5 is equal to 10п/3.
4√2 +_√32 2√2
To perform modular addition modulo √32, we add the numbers and take the remainder when divided by √32:
4√2 + √32 = (4√2) + (4√2) = 8√2
Now, we take the remainder when 8√2 is divided by √32:
(8√2) mod √32 = (8√2) - (4√2) = 4√2
Therefore, 4√2 +_√32 2√2 is equal to 4√2.
Please note that the notation "+_a b" is used to represent modular addition modulo a, where b is the number being added.
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february $1$, $2008$ is a friday. the last friday of february $2008$ will be february $x$, $2008$. if $2008$ is a leap year, what is the value of $x$?
x= 29 which is Friday of that Month.
As 1st February 2008 is Friday
By adding 7 to the date we will get the next Friday Date of that month
i.e., 1 + 7= 8
i.e., 8 is Friday
Again if we will add 7 in 8 then we will get another Friday
so by adding again i.e., 8 + 7= 15 which is again Friday
Then 15 + 7 = 22 which is Friday.
adding again we will reach final to final answer 22+ 7 = 29 which is Friday
after adding 29 with 7 we will get 36 and as we know there are only 30/31 days in a month.
So, by adding 7 to the date we will reach the next week.
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Suppose triangle ABC will be dilated using the rule D Subscript Q, two-thirds.
Point Q is the center of dilation. Triangle A B C is 6 units away from point Q. The length of A B is 3, the length of B C is 7, and the length of A C is 8.
What will be the distance from the center of dilation, Q, to the image of vertex A?
2 units
3 units
4 units
6 units
The distance from the center of dilation, Q, to the image of vertex A will be 4 units.
According to the given rule of dilation, D subscript Q, two-thirds, the triangle ABC will be dilated with a scale factor of two-thirds centered at point Q.
Since point Q is the center of dilation and the distance from triangle ABC to point Q is 6 units, the image of vertex A will be 2/3 times the distance from A to Q. Therefore, the distance from A' (image of A) to Q will be (2/3) x 6 = 4 units.
By applying the scale factor to the distances, we can determine that the length of A'B' is (2/3) x 3 = 2 units, the length of B'C' is (2/3) x 7 = 14/3 units, and the length of A'C' is (2/3) x 8 = 16/3 units.
Thus, the distance from the center of dilation, Q, to the image of vertex A is 4 units.
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PLEASE HELPPPP !!!!!!!
Answer:
first
Step-by-step explanation:
(3;0)
y(3) = 2/3 * 3 - 2 = 0
(0;-2)
y(0) = 2/3 * 0 - 2 = -2
Complete the square
x^2 - 2x - 14 = 0
two integers have a sum of 26. when two more integers are added to the first two integers the sum is 41. finally when two more integers are added to the sum of the previous four integers the sum is 57. what is the minimum number of odd integers among the 6 integers? (a) (b) 2 (c) 3 (d) 4 (e) 5
The minimum number of integers that must be odd, then, is (A) 1.
What are integers?Integers include zero, a positive natural number, and a negative integer represented by a minus sign. The negative numbers are the inverse additions of the comparable positive numbers. In mathematical jargon, the set of integers is frequently referred to as the Z. Integers come in three main varieties: Zero (0) (0) (0) positive numbers (Natural numbers) and Negative integers (Additive inverse of Natural Numbers).So, it is conceivable for the initial two integers to both be even, as in the case of 10 + 16 = 26.
The next two numbers, however, when added together, result in an odd 15 increase, thus one of them must be odd and the other must be even. For instance, 3 + 12 equals 15.
Last but not least, the following two integers add up to 16, which is even, therefore we can have both be even: for instance, 2 + 14 = 16.
The minimum number of integers that must be odd, then, is 1.
Therefore, the minimum number of integers that must be odd, then, is (A) 1.
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Correct question:
Two integers have a sum of 26. when two more integers are added to the first two integers the sum is 41. finally when two more integers are added to the sum of the previous four integers the sum is 57. what is the minimum number of odd integers among the 6 integers?
(a) 1
(b) 2
(c) 3
(d) 4
(e) 5