Find the midpoint of a and b where a has the coordinates (8,5) and b has.coordinates (3,7)
Answer:
(5.5 , 6)
Step-by-step explanation:
\(Midpoint \left(\dfrac{x_{1}+x_{2}}{2},\dfrac{y_{1}+y_{2}}{2}\right)\\\\\\\left(\dfrac{8+3}{2},\dfrac{5+7}{2} \right)\\\\\\=\left(\dfrac{11}{2},\dfrac{12}{2}\right)\\\\\\=\left(5.5,6 \right)\)
We've been given to find out the midpoint coordinates in which the two coordinates has points (8,5) and (3,7).
The standard formula for calculating midpoint of two given coordinates are,
\(\implies\sf{( \frac{x_1 + x_2}{2} )( \frac{y_1 + y_2}{2} )}\)
Here we have following data:
x1 =8 and y1= 5x2 = 3 and y2 = 7Replacing the values in formula we get,
\(\implies\sf{( \frac{8 + 3}{2} ) , ( \frac{5 + 7}{2}) }\)
\(\implies\sf{( \frac{11}{2} ) , ( \frac{12}{2} )}\)
\(\implies\sf{(5.5) , (6)}\)
The coordinates of midpoint are (5.5,6)If the fourth term in a geometric sequence is –1 and the common ratio is –1, find the explicit formula of the sequence.
A)
an = (1) ⋅ (–1)n – 1 for n ≥ 1
B)
an = (– 1) ⋅ (1)n – 1 for n ≥ 1
C)
an = (–1) ⋅ (–1)n – 1 for n < 1
D)
an = (1) ⋅ (1)n – 1 for n ≥ 2
Answer:
Hello,
Answer A
Step-by-step explanation:
\(a_4=-1\\q=-1\ common\ ratio\\\\a_4=a_1*q^3\ -1=a_1*(-1)^3 \Longrightarrow\ a_1=1\\\\\\\boxed{a_n=1*(-1)^{n-1}}\\\\\\Since \ all \ formula\ are\ so\ bad\ written,\ I\ suppose\ that\ the\ answer \ is \ A\\\)
Answer:
an = (1) ⋅ (–1)n – 1 for n ≥ 1
Step-by-step explanation:
took the test and got it right
hope this helps
Triangle ABC has vertices at A(2,5), B(4,11) and C(-1,6). Determine the angles in this triangle.
I need this solved using vectors please
Answer:
The angles are
∠A = 90°, ∠B = 26.56°, ∠C = 63.43°
Step-by-step explanation:
We have that the angles of a vector are given as follows;
\(cos\left ( \theta \right ) = \dfrac{\mathbf{a\cdot b}}{\left | \mathbf{a} \right |\left | \mathbf{b} \right |}\)
Whereby the vertices are represented as
A= (2, 5, 0), B = (4, 11, 0), C = (-1, 6, 0),
AB =(4, 11, 0) - (2, 5, 0) = (2, 6, 0) , BA = (-2, -6, 0)
BC = (-1, 6, 0) - (4, 11, 0) = (-5, -5, 0), CB = (5, 5, 0)
AC = (-1, 6, 0) - (2, 5, 0) = (-3, 1, 0), CA = (3, -1, 0)
θ₁ = AB·AC
a·c = a₁c₁ + a₂c₂ + a₃c₃ = 2×(-3) + 6×1 = 0
Therefore, θ₁ = 90°
BA·BC = (-2)×(-5) + (-6)×(-5) = 40
\({\left | \mathbf{}BA \right |\left | \mathbf{}BC \right |}\) = (√((-2)² + (-6)²)) × (√((-5)² + (-5)²)) = 44.72
cos(θ₂) = 40/44.72 = 0.894
cos⁻¹(0.894) =θ₂= 26.56°
CA·CB = 5×3 + 5×(-1) = 10
\({\left | \mathbf{}CA \right |\left | \mathbf{}CB \right |}\) = (√((3)² + (-1)²)) × (√((5)² + (5)²)) = 22.36
10/22.36 = 0.447
cos(θ₃) = 0.447
θ₃ = cos⁻¹(0.447) = 63.43°.
The probability that Dan buys a sandwich is 0.2.
The probability that Dan gets the bus is 0.9.
Assuming the events are independent, what is the probability that Dan buys a sandwich
and gets the bus?
Answer:
0.18
Step-by-step explanation:
Find the probability that both independent events occur by multiplying the individual probabilities by each other:
0.2(0.9)
= 0.18
So, the probability is 0.18
What is the mean of following numbers 1 2 3 4 5 6 7?
The mean of following numbers is 4.
To find: mean of given numbers .
Given data : 1, 2, 3, 4, 5, 6, 7
Mean: Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.
Mean=\(\frac{Sum of all observations} {Total number of observations}\)Here, sum of observations =1+2+3+4+5+6+7=28
sum of observations=28
Arithmetic mean refers to the average amount in a given group of data. It is defined as the summation of all the observation is the data which is divided by the number of observations in the data
Total number of observations =7
The number of observations provides information on the total number of values that are contained in the Dataset. This property is intended to provide an indication of the size of a Dataset.
Substituting values in above formula,
=\(\frac{28}{7}\)=4
Therefore, the mean is 4.
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Anyone else Feel there not enough :(
Answer:
bro you good go talk to someone if you need mental health
Step-by-step explanation:
An object is translated by (x-2, y-6). If one point in the pre-image has the coordinates (-3, 7,) what would be the coordinates of this image
Answer:
(- 5, 1 )
Step-by-step explanation:
Given the translation rule
(x, y ) → (x - 2, y - 6 )
This means subtract 2 from the original x- coordinate and subtract 6 from the original y- coordinate, that is
(- 3, 7 ) → (- 3 - 2, 7 - 6 ) → (- 5, 1 )
Which is more economical: purchasing the economy size of a detergent at 2 kilograms for $3. 15 or purchasing the regular size at 920 grams for 60?
The economy size is more economical, as you will get 2kg for $3.15, which comes out to be $1.58 per kg, while the regular size will cost you $0.65 per gram.
To determine which option is more economical, we need to calculate the cost per unit of weight for each detergent.
For the economy size, the cost per kilogram is:
Cost = $3.15
Weight = 2 kg
Cost per kilogram = Cost / Weight = $3.15 / 2 kg = $1.575/kg
For the regular size, the cost per kilogram is:
Cost = $0.60
Weight = 920 g = 0.92 kg
Cost per kilogram = Cost / Weight = $0.60 / 0.92 kg = $0.652/kg
Therefore, the regular-size detergent is more economical as it has a lower cost per kilogram.
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B. Optimizing Multivariable Functions Optimize z = 3x² - xy + 2y² - 4x - 7y + 12. 1. Find the critical points at which the function may be optimized. 2. Determine whether at the computed points, the
The critical points are (2,1) and (0,0). Given, z = 3x² - xy + 2y² - 4x - 7y + 12.1. Find the critical points at which the function may be optimized.
To find the critical points, we need to solve the following system of equations: ∂z/∂x = 0, ∂z/∂y = 0∂z/∂x = 6x - y - 4 = 0∂z/∂y = -x + 4y - 7 = 0By solving these equations, we get two critical points: (2,1) and (0,0).2. Determine whether at the computed points, the function takes on its maximum or minimum value.
To determine whether each critical point is a maximum, minimum, or saddle point, we need to compute the second partial derivatives of z: ∂²z/∂x² = 6, ∂²z/∂y² = 4, ∂²z/∂x∂y = -1At the point (2,1), the second partial derivatives satisfy the condition (∂²z/∂x²)(∂²z/∂y²) - (∂²z/∂x∂y)² = (6)(4) - (-1)² = 25 > 0 and ∂²z/∂x² > 0, so z has a minimum value at this point.At the point (0,0), the second partial derivatives satisfy the condition (∂²z/∂x²)(∂²z/∂y²) - (∂²z/∂x∂y)² = (6)(4) - (-1)² = 25 > 0 and ∂²z/∂x² > 0, so z has a minimum value at this point.Therefore, the function z = 3x² - xy + 2y² - 4x - 7y + 12 is optimized at (2,1), where the minimum value is z = 3(2)² - (2)(1) + 2(1)² - 4(2) - 7(1) + 12 = -10.
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Find the coordinates of the midpoint of HX H(5 1/2, -3 3/4), X(2 1/4, -2 1/4)
The coordinates of the midpoint of HX
Answer:
(3 7/8, -3)Step-by-step explanation:
Use midpoint formula.
Let the x and y are the coordinates of midpoint.
Find the coordinates:
x = (5 1/2 + 2 1/4)/2 = (5 2/4 + 2 1/4)/2 = (7 3/4)/2 = 31/4*1/2 = 31/8 = 3 7/8y = (-3 3/4 - 2 1/4)/2 = (-5 4/4)/2 = (-6/2) = -3So if you need 30 bags but you can buy 200 bags for 6.19 how much does it cost for 1 bag?
Answer:
0.03095
Step-by-step explanation:
0.03095
200 6.19000
-600
1900
-1800
1000
-1000
0
6.4 x 1.2 show your work
Answer:
7.68
Step-by-step explanation:
Can you create a translation ( x+3, y+2) ? Is it necessary that the same number is added or subtracted to the x and y coordinates of the polygon? Why or why not ?
Answer:
Can you? Yes!
Need be same? No.
Step-by-step explanation:
Because adding to or subtracting from the x will translate (shift or slide) your figure left or right (horizontally) and adding to or subtracting from the y will slide or shift the polygon up or down (vertically) So, both can happen and it need not be by the same amount.
What are the vertical and horizontal components of A(-3,4) and B(2,-5)?
Answer: In physics, when you break a vector into its parts, those parts are called its components. For example, in the vector (4, 1), the x-axis (horizontal) component is 4, and the y-axis (vertical) component is 1. Typically, a physics problem gives you an angle and a magnitude to define a vector; you have to find the components yourself using a little trigonometry.
Suppose you know that a ball is rolling on a flat table at 15 degrees from a direction parallel to the bottom edge at a speed of 7.0 meters/second. You may want to find out how long the ball will take to roll off the edge 1.0 meter to the right.
Define your axes so the ball is at the origin initially and the x-axis is parallel to the bottom edge of the table (refer to the figure). Therefore, the problem breaks down to finding out how long the ball will take to roll 1.0 meter in the x direction. To find the time, you first need to know how fast the ball is moving in the x direction.
What is the radius of the circle using the equation below?
Answer:
the radius is 5 cubic meters
when constructing a confidence interval for a population mean from a sample of size 28, what is the number of degrees of freedom (df) for the critical t-value?
When constructing a confidence interval for a population mean from a sample of size 28, the number of degrees of freedom (df) for the critical t-value is 27.
To construct a confidence interval for a population mean using a sample size of 28, we need to determine the number of degrees of freedom (df) for the critical t-value.
The number of degrees of freedom is equal to the sample size minus 1. In this case, the sample size is 28, so the number of degrees of freedom would be 28 - 1 = 27.
To find the critical t-value, we need to specify the confidence level. Let's assume a 95% confidence level, which corresponds to a significance level of 0.05.
Using a t-table or statistical software, we can find the critical t-value associated with a sample size of 28 and a significance level of 0.05, with 27 degrees of freedom.
Once we have the critical t-value, we can then construct the confidence interval for the population mean.
In conclusion, when constructing a confidence interval for a population mean from a sample of size 28, the number of degrees of freedom (df) for the critical t-value is 27.
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Supposed you want to buy a used car but your savings is not enough. To do this, you borrow P60,000 to be amortized in four equal payments at the end of each of the next four years, and the interest rate is paid 15 percent on the outstanding loan. What is the loan outstanding balance at the end of 2nd year?
The outstanding balance on the loan at the end of the 2nd year would be P54,000.
The loan of P60,000 is being amortized in four equal payments over four years. Each payment includes both the principal amount and the interest. The interest rate on the outstanding loan is 15 percent.
To calculate the loan outstanding balance at the end of the 2nd year, we need to determine the amount of principal repaid and subtract it from the original loan amount.
Each year, the borrower makes equal payments, so each payment would be P60,000 divided by 4, which is P15,000. However, each payment also includes interest. The interest on the outstanding loan balance at the beginning of the 2nd year is 15 percent of P60,000, which is P9,000.
The amount of principal repaid in the 2nd year is the total payment of P15,000 minus the interest of P9,000, which is P6,000.
Therefore, at the end of the 2nd year, the outstanding loan balance would be the original loan amount of P60,000 minus the principal repaid in the 2nd year, which is P60,000 - P6,000 = P54,000.
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what is the answer to 4^43
Answer:
7.737
Step-by-step explanation:
The city of Plainview is building a new sports complex. The complex includes eight baseball fields, four soccer fields, and three buildings that have
concessions and restrooms. Arrange the structures in the sports complex using translations, reflections, and rotations so that the final
arrangement satisfies each of these criteria:
. All the fields and buildings fit on the provided lot.
• Each field is adjacent to at least one building for ease of access.
. Two or more fields can be adjacent, but no two fields should share the same boundary (e.g., a sideline or a fence.)
• For safety reasons, no baseball field should have an outfield (the curved edge) pointed at the side (the straight edges) of another baseball
field.
Answer:
See Explanation
Step-by-step explanation:
(Please Find Diagram in the attachment)⇒Answer Drawing is Given There.
According to the question,
Given that, The city of Plainview is building a new sports complex. The complex includes eight baseball fields, four soccer fields, and three buildings that have concessions and restrooms. Now, Arrange the structures in the sports complex using translations, reflections, and rotations so that the final arrangement satisfies each of these criteria: All the fields and buildings fit on the provided lot. Each field is adjacent to at least one building for ease of access. Two or more fields can be adjacent, but no two fields should share the same boundary (e.g., a sideline or a fence.) For safety reasons, no baseball field should have an outfield (the curved edge) pointed at the side (the straight edges) of another baseball fieldHELP! DUE TODAY! WILL GIVE BRAINLIEST!!
Question:
Select from the drop-down menus to correctly complete each statement
17.2 is 17.2 units to the ( drop-down 1 ) of zero on a number line. The opposite of 17.2 is 17.2 units to the ( drop-down 2 ) of zero on a number line.
Answer:
#1 would be Right and #2 would be left
Step-by-step explanation:
Pls Mark Brainliest
Area between two concentric circles
Answer: 215π
Step-by-step explanation:
If you think of the entire thing as two circles, it makes the problem a lot easier. If we were to find the area of the white "circle" and subtract it from the blue "circle", we would get the area of the ring. First, use the outer radius to find the area of this circle:
\(Area=\pi r^2\)
\(Area=\pi (24)^2=576\pi\)
Now find the area of the inner circle:
\(Area=\pi r^2\)
\(Area=\pi (19)^2=361\pi\)
Subtract the area of the inner circle from the area of the outer circle:
\(576\pi -361\pi =215\pi\)
what does the activity ratio measure in the value stream
The activity ratio in the value stream measures the efficiency of the production process by evaluating the ratio of value-added activities to non-value-added activities.
The activity ratio is a performance metric used in value stream mapping, which is a lean management tool for analyzing and improving the flow of materials and information in a production process.
It focuses on distinguishing value-added activities, which directly contribute to meeting customer requirements, from non-value-added activities, which do not add value but consume resources and time.
By calculating the activity ratio, organizations can assess the proportion of time and resources spent on value-added activities versus non-value-added activities.
A higher activity ratio indicates that a greater portion of resources is dedicated to value-added activities, indicating improved efficiency and reduced waste.
Conversely, a lower activity ratio suggests a higher proportion of resources being utilized for non-value-added activities, indicating potential areas for improvement and waste reduction.
The activity ratio serves as a valuable diagnostic tool for organizations to identify process inefficiencies, bottlenecks, and areas for improvement. By analyzing the activity ratio, organizations can streamline their processes, eliminate waste, and optimize resource allocation to enhance overall productivity and customer value.
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Please help I am stuck at 34 points I need atleast an 80 by today!!
Answer:
12 mi
Step-by-step explanation:
What is the decimal of 2 75/100
2.75 is the decimal of fraction .
In math, what is a fraction?
The amount is represented mathematically as a quotient, where the numerator and denominator are split. In a simple fraction, both are integers. A complicated fraction includes a fraction, either in the denominator or the numerator.
The numerator and denominator must be smaller in a proper fraction. A fraction is a number that is a component of a whole. A whole is appraised by dissecting it into many sections. Half of a whole number or item, for instance, is represented by the number 12.
= \(2\frac{75}{100}\)
= \(2\frac{3}{4}\)
= 11/4
= 2.75
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Can someone please help me
Answer:
(-7.5, 3.5)
Step-by-step explanation:
\(midpoint \: = ( \frac{x1 + x2}{2} \: , \: \frac{y1 + y2}{2} )\)
\( = ( \frac{ ( - 5) + ( - 10)}{2} , \frac{(5) + (2)}{2} )\)
\( = ( \frac{ - 15}{2} , \frac{7}{2} )\)
\( = ( - 7.5,3.5)\)
How many reflectional symmetries does this figure have?Enter your answer in the boxreflectional symmetriesHow many rotational symmetries does this figure have?Enter your answer in the boxrotational symmetnes
The capital letter H has 2 reflectional symmetry and 2 rotational symmetry.
A figure has reflectional symmetry if it can be reflected across a line and still look the same. For the capital letter H, there is two lines of symmetry, which is the vertical line and horizontal line that divides the letter into two equal halves. Reflecting the letter across this line produces the same letter. So, the H has only 2 reflectional symmetries.
A figure has rotational symmetry if it can be rotated by some angle and still look the same. For the capital letter H, if we rotate it 180 degrees and 360 degrees about the center point of the letter, it will look the same. There is no other angle of rotation that produces the same letter. Therefore, the H has only 2 rotational symmetries.
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--The question is incomplete, answering to the question below--
"How many reflectional symmetries does this figure have?
Enter your answer
___ reflectional symmetries
How many rotational symmetries does this figure have?
Enter your answer
___ rotational symmetries"
-(3/4)+1 7/8 divided by 1/2 =n
first off, let's convert the mixed fraction to improper fraction and then proceed, let's notice that by PEMDAS or order of operations, the multiplication is done first, and then any sums.
\(\stackrel{mixed}{1\frac{7}{8}}\implies \cfrac{1\cdot 8+7}{8}\implies \stackrel{improper}{\cfrac{15}{8}} \\\\[-0.35em] ~\dotfill\\\\ -\cfrac{3}{4}~~ + ~~\cfrac{15}{8} \div \cfrac{1}{2}\implies -\cfrac{3}{4}~~ + ~~\cfrac{15}{8} \cdot \cfrac{2}{1}\implies -\cfrac{3}{4}~~ + ~~\cfrac{15}{4} \\\\\\ \cfrac{-3+15}{4}\implies \cfrac{12}{4}\implies 3\)
Aiden ha a gro income of 63,000 and take the tandard deduction. Their total taxe due are 6,628
A) what i their taxable income
B) what i their marginal rate
C) what i their effective rate? Round to the nearet hundredth of a percent
If their total taxes due are $6,847.50, their taxable income is: $56,152.2, marginal rate is 22% and the effective tax rate is 10.87%.
What is your taxable income?The term taxable income refers to any gross income earned that is used to calculate the amount of tax you owe. Put simply, it is your adjusted gross income less any deductions. This includes any wages, tips, salaries, and bonuses from employers.
What is minimum taxable income?The minimum income amount depends on your filing status and age. In 2022, for example, the minimum for single filing status if under age 65 is $12,950. If your income is below that threshold, you generally do not need to file a federal tax return. Review the full list below for other filing statuses and ages.
Taxable income
a. Taxable income:
Taxable income=Gross income - Total taxes due
Taxable income=$63,000-$6,847.50
Taxable income=$56,152.5
b. The marginal tax rate for taxable income under the income bracket of of $40,526 to $86,375 is 22%.
c. Effective tax rate:
Effective tax rate = Total taxes due/ Taxable income×100
Effective tax rate =$6,847.50/$56,152.5×100
Effective tax rate =10.869%
Effective tax rate =10.87% (Approximately)
Inconclusion if their total taxes due are $6,847.50, their taxable income is: $56,152.2, marginal rate is 22% and the effective tax rate is 10.87%.
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Kendrick attends a private school where he must wear a uniform. Last year, the price of the uniform was $52. This year's uniform price was $65. What is the percent of increase in the cost of the uniform?
The percent increase in the cost of the uniform from last year to this year is 25%.
What is the percent of increase in the cost of the uniform?To find the percent increase in the cost of the uniform from last year to this year, we need to calculate the difference between the two prices, divide it by the original price, and then multiply by 100 to express the result as a percentage.
The difference between this year's price and last year's price is:
$65 - $52 = $13
The original price (last year's price) is $52.
So the percent increase in the cost of the uniform is:
percent increase = (difference / original price) x 100
percent increase = ($13 / $52) x 100
percent increase = 0.25 x 100
percent increase = 25%
Therefore, the percent increase in the cost of the uniform from last year to this year is 25%.
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The function P(n) = 108 + 10 log(n) gives the
total sound power in decibels when n drill presses are operating in a factory. What is the total sound power, to the nearest decibel, when three drill presses are operating?
112.8 is the the total sound power, when three drill presses are operating
What is a function?A relation is a function if it has only One y-value for each x-value.
Given that a function P(n) = 108 + 10 log(n) gives the total sound power in decibels when n drill presses are operating in a factory.
We need to find the total sound power, to the nearest decibel, when three drill presses are operating
We have to consider n as 3
P(3) = 108 + 10 log(3)
=108+10×0.477
=108+4.77
=112.77
Hence, 112.8 is the the total sound power when three drill presses are operating
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