The required coordinates of point B are (2, 3) which is the correct answer would be option (C).
To find the coordinates of point B, we can use the midpoint formula.
The midpoint formula states that the coordinates of the midpoint of a line segment with endpoints (x₁, y₁) and (x₂, y₂) are given by the formula (x₁ + x₂)/2, (y₁ + y₂)/2.
As per the question, we are given the coordinates of points A and O, which are (4, 5) and (3, 4), respectively.
We can use these coordinates to find the coordinates of point B, which is the midpoint of line segment AO.
Let the coordinates of B would be (x, y)
Substituting the coordinates of points A and O into the midpoint formula gives us :
3 = (x+4)/2 ; 4 = (y+5)/2
6 = x +4; 8 = y + 5
x = 2; y = 3
Therefore, the required coordinates of point B are (2, 3).
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Joe has dimes and nickels in his piggy bank totaling $1.45. The number of nickels he has is 5 more than twice the number of dimes, d. Write an equation that can be used to find the numbers of dimes, d, Joe has.
The number of dimes Joe has is 6.
Joe has dimes and nickels, the total amount is $1.45
We have to find the number of dimes Joe has.
Suppose the number of dimes is d, so we have the number of nickels is 2d + 5
Now from the question, we get an equation:
0.10d + 0.05( 2d+ 5) = $1.45
To know the value of d we need to solve the equation:
0.10d + 0.10d + 0.25 = 1.45
0.20d = 1.20
d = 120/20
= 6
Hence we get the total number of dimes Joe has is 6.
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find the solutions in the interval [0, ]. (enter your answers as a comma-separated list.) sec(3x) − 2 = 0
The solutions to the equation sec(3x) - 2 = 0 in the interval [0,π/6] are x = π/18, and in the interval [5π/6,π] are x = 11π/18.
To solve this equation, we need to isolate the secant function by adding 2 to both sides, giving us sec(3x) = 2. Then, taking the reciprocal of both sides, we get cos(3x) = 1/2.
Using the unit circle or trigonometric identities, we know that cos(3x) = cos(π/3) has solutions in the interval [0,π/6] of 3x = π/3 + 2πk or 3x = 5π/3 + 2πk, where k is an integer.
Solving for x in each case, we get x = π/9 + (2πk)/3 or x = 5π/9 + (2πk)/3. However, we need to restrict the solutions to the given interval, which means we can only consider values of k that give solutions within that interval.
For the interval [0,π/6], we have k = 0 as the only solution, giving us x = π/18. For the interval [5π/6,π], we have k = 1 as the only solution, giving us x = 11π/18.
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25 POINTS AND BRAINLIEST
Answer:
-2.4
Step-by-step explanation:
-54/22.5= -2.4
If it went down 54 degrees in 22.5 minutes, then you do -54/22.5, which gives you -2.4. So the temperature went down 2.4 F each minute. I think.
25. En cada par de triangulos, las marcas iguales indican elementos congruentes. ¿Que par de triangulos es congruentre segun el criterio LAL? justifica 26.indica cual criterio se debe usar para determinar la congruencia de cada pareja de triangulos.
Answer:
i cant read spanish. sorry
Step-by-step explanation:
Michael buys a basket of mangoes on sale for $4 before tax. The sales tax is 12%. what is the total price Michael pays for the basket of mangoes?
Answer:
The answer to your question is $4.48
Directions: Measure each angle and write the measure on the line.
Answer: and the top right one is a 115 degree angel
Step-by-step explanation: I hope I helpt you with this
On a number line, point A is at 5, and point B is at -10. Point C is on AB such that the ratio of AC to CB is 1: 3. Find D on BC such that the ratio of BD to DC is 3:5.
The location of point D on the number line is -5.15625
How to determine the location of point D?The given parameters are:
A = 5
B = -10
AC : CB = 1 : 3
This means that
C = AC/(AC + AB) * (A - B)
This gives
C = 1/4 * (5 + 10)
Evaluate
C = 3.75
Also, we have:
BD : DC = 3 : 5
So, we have:
D = BD/(BD + DC) * (B - C)
This gives
D = 3/8 * (-10 - 3.75)
Evaluate
D = -5.15625
Hence, the location of point D on the number line is -5.15625
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Fill in the table below. Function Analyzing the graph Graph (identify the asymptotes) lim f(x) = 3 Asymptote y=3 lim g(x) = 2 x-00 Asymptote y=2 lim g(x) = 0 X-3- Asymptote x=-3 lim f(x) =
The asymptotes for the given functions can be identified by using limits and analyzing the graphs.
Function Analyzing the graph Graph (identify the asymptotes) lim f(x) = 3 Asymptote y=3 lim g(x) = 2 x-00 Asymptote y=2 lim g(x) = 0 X-3- Asymptote x=-3 lim f(x) = 0The given table below shows the different functions and their asymptotes. FunctionAsymptoteLim f(x) = 3y = 3Lim g(x) = 2x → ∞y = 2Lim g(x) = 0x → -3x = -3Lim f(x) = 0No asymptote exists for the limit of f(x) as it approaches zero (0).Analyzing the graph:An asymptote is a line that a curve approaches but never touches. We can use limits to determine where vertical or horizontal asymptotes exist by looking at the limits of a function as it approaches a certain value or infinity. The asymptotes can also be identified by observing the graph. When we approach an asymptote, the function approaches a specific value, which is the equation of the asymptote.
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write an equation of the parabola in vertex form that passes through points
The equation of the parabola in vertex form that passes through the points (-2, 4) and (1, 0):
y = -2(x + 1)^2 + 2
The vertex form of a parabola is y = a(x - h)^2 + k, where (h, k) is the vertex of the parabola. In this case, the vertex is (-1, 2), so we can write the equation as y = -2(x + 1)^2 + 2.
To find the vertex of the parabola, we can take the average of the x-coordinates of the two points, and then take the average of the y-coordinates of the two points. The average of the x-coordinates is (-2 + 1)/2 = -0.5, and the average of the y-coordinates is (4 + 0)/2 = 2. Therefore, the vertex is (-0.5, 2).
Once we know the vertex, we can find the value of a by substituting the vertex coordinates into the vertex form of the parabola. Substituting (-0.5, 2) into the equation y = a(x - h)^2 + k, we get 2 = a(-0.5 - (-1))^2 + 2. Simplifying, we get 2 = a(0.25) + 2. Solving for a, we get a = -2.
Plugging in a = -2 into the vertex form of the parabola, we get y = -2(x + 1)^2 + 2. This is the equation of the parabola in vertex form.
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The equation of the parabola in vertex form that passes through the points (-2, 4) and (1, 0):
y = -2(x + 1)^2 + 2
The vertex form of a parabola is y = a(x - h)^2 + k, where (h, k) is the vertex of the parabola. In this case, the vertex is (-1, 2), so we can write the equation as y = -2(x + 1)^2 + 2.
To find the vertex of the parabola, we can take the average of the x-coordinates of the two points, and then take the average of the y-coordinates of the two points. The average of the x-coordinates is (-2 + 1)/2 = -0.5, and the average of the y-coordinates is (4 + 0)/2 = 2. Therefore, the vertex is (-0.5, 2).
Once we know the vertex, we can find the value of a by substituting the vertex coordinates into the vertex form of the parabola. Substituting (-0.5, 2) into the equation y = a(x - h)^2 + k, we get 2 = a(-0.5 - (-1))^2 + 2. Simplifying, we get 2 = a(0.25) + 2. Solving for a, we get a = -2.
Plugging in a = -2 into the vertex form of the parabola, we get y = -2(x + 1)^2 + 2. This is the equation of the parabola in vertex form.
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what is the perimeter for a rectangle with a length of 12x - 7 and a width of 5
The perimeter of the rectangle given its dimensions is 24x - 4.
What is the perimeter?A rectangle is a two-dimensional quadrilateral with four right angles that sum up to 360 degrees. A rectangle has two diagonals of equal length that bisect each other at right angles.
The perimeter of rectangle is the sum of the lengths of the four sides of the rectangle.
Perimeter of a rectangle = 2 x (length + width)
2 x [(12x - 7) + 5)
2 x (12x - 2)
24x - 4
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Select the correct answer. the dimensions and number of animals are given for different corrals. corral length width number of animals 1 50 meters 40 meters 110 2 60 meters 35 meters 115 3 55 meters 45 meters 125 4 65 meters 40 meters 130 the population constraints state that each corral should have at least 20 square meters for each animal. which corral meets this requirement? a. corral 1 b. corral 2 c. corral 3 d. corral 4
The corrals that satisfies the population constraint that requires at least 20 square meters of area per animal is option (d) corral 4
To determine which corral meets the population constraints of at least 20 square meters for each animal, we need to calculate the area of each corral and divide it by the number of animals in that corral. If the result is at least 20 square meters, then the corral meets the requirement.
Corral 1: Area = length x width = 50 x 40 = 2000 square meters. Number of animals = 110. Area per animal = 2000/110 = 18.18 square meters. Therefore, Corral 1 does not meet the requirement.
Corral 2: Area = length x width = 60 x 35 = 2100 square meters. Number of animals = 115. Area per animal = 2100/115 = 18.26 square meters. Therefore, Corral 2 does not meet the requirement.
Corral 3: Area = length x width = 55 x 45 = 2475 square meters. Number of animals = 125. Area per animal = 2475/125 = 19.8 square meters. Therefore, Corral 3 meets the requirement.
Corral 4: Area = length x width = 65 x 40 = 2600 square meters. Number of animals = 130. Area per animal = 2600/130 = 20 square meters. Therefore, Corral 4 meets the requirement.
Therefore, the answer is (d) Corral 4.
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Answer:
D. Corral 4
Hope this helps!
Step-by-step explanation:
Help!!! Please????????
Answer:
idk
Step-by-step explanation:
i dont know
Help ASAP nowwwwww
Please and thank you
Answer:
y = -1/2x + 5
Step-by-step explanation:
Parallel slope = -1/2
The y-intercept can't be the same so C is the only option
Answer:
C. y = -1 /2x + 5
Step-by-step explanation:
Hope this will help
onsider the following events: A. The burrito is a chicken burrito. B. The burrito is a carne asada burrito. C. The customer requested black beans. D. The customer requested pinto beans. Which two events are independent
Events A and C as well as events B and D are independent.
Two events A and B are independent if the occurrence or non-occurrence of one event does not affect the probability of the other event.
In the given events, it is not explicitly mentioned how the events are related. However, based on typical assumptions about burrito ingredients and customer preferences, we can make some assumptions:
Assuming that the choice of meat (chicken or carne asada) and the choice of beans (black beans or pinto beans) are independent of each other, we can conclude that events A (The burrito is a chicken burrito) and C (The customer requested black beans) are independent. The choice of chicken meat in the burrito does not affect the probability of the customer requesting black beans.
Similarly, events B (The burrito is a carne asada burrito) and D (The customer requested pinto beans) are independent. The choice of carne asada meat in the burrito does not affect the probability of the customer requesting pinto beans.
So, based on these assumptions, events A and C as well as events B and D are independent.
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79,531 rounded to the nearest whole number
80,000
hope this helps
Emily earns a 3% commission on each property she sells. A property listed at $319,600 sold for $325,000.
A. How much was Emily’s commission? Round your answer to the nearest cent.
B. How much commission did Emily gain by not selling the property at the original listed price? Round your answer to the nearest cent.
What is sextillion divided by nonmillion times 10,000 minus 200 million plus 5000.
The answer to this arithmetic expression is approximately 9.9998 x 10¹⁸
Define the term expression?A combination of numbers, variables, and operators that represents a quantity or mathematical relationship is called an expression.
First, divide sextillion (10²¹) by nonmillion (10⁶) to get 10¹⁵.
Next, multiply 10¹⁵ by 10,000 to get 10¹⁹.
Subtract 200 million (2 x 10⁸) from 10¹⁹ to get 9.9998 x 10¹⁸.
Finally, add 5,000 to get the result of approximately 9.9998 x 10¹⁸ + 5,000 = 9.9998 x 10¹⁸ + 0.0005 x 10¹⁸ = 9.9998 x 10¹⁸.
Therefore, the answer to this arithmetic expression is approximately 9.9998 x 10¹⁸
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List at least 5 numbers greater than -1 but less than 2
Answer:
0, 1, 1.5, 1.8, 1.3
Step-by-step explanation:
5m^2-17m+6 in factor form
Answer: (m-3)(5m-2)
Step-by-step explanation:
5m^2-17m+6 factored is (m-3)(5m-2).
jeremy swims 5 3··5 kilometers in a 7-day period. He swims the same distance each day. What distance does he swim in a day?
A: 39 1/5 km
C:4/5km
B:1 1/5km
D 4/35km
Eli chose A as the correct answer. How did he get that answer?
Answer:
Jeremy swims 4/5 of a kilometer each day.
Step-by-step explanation:
Since 5 3/5 can be turned into 28/5, then divided by 7/1, you will get 4/5. So Jeremy swims 4/5 of a kilometer each day.
Eli got his answer by multipying 5 3/5 by 7 which was an incorrect process.
Express the shaded portion of each box using fractions. Which box has a higher fraction
of its boxes shaded?
Answer:
A
Step-by-step explanation:
A has 11 boxes shaded in, whereas B only has 10. so A has more
A bakery sold 96 vanilla cupcakes in a day, which was 48% of the total number of cupcakes sold that day. How many total cupcakes did the bakery sell that day?
Step-by-step explanation:
96/x =48%/100
48x=9600
x=9600/48
x=200 cakes
What’s the simplified expression
Answer:
1/144
Step-by-step explanation:
1/(2⁴ * 3²)
1/(16*9)
1/144
Kristina wants to buy a flute that costs 240 . She has saved 20 each week for 3 weeks . How many more weeks does Kristina need to save money if she continues to save 20 each week
A, B, and Care the centers of the 3 circles. Select all thesegments that are congruent to AB.
The congruent segments are the sides of the small triangles, then the congruent segments are: HA, BD and BF.
Therefore the answer are B, E and F.
What multiplication equattion can be used to explain the solution to 15 / 1/3
Step-by-step explanation:
15 / (1/3) is equal to 15 x 3/1 = 15 x 3 = 45
if a set of difference scores with df = 8 has a mean of md = 3.5 and a variance of s2 = 36, then the sample will produce a repeated-measures t statistic of t = 1.75. true or false
The given statement "if set of difference scores with df = 8 has a mean of md = 3.5 then sample will produce repeated-measures t statistic of t = 1.75." is false because it is not possible to determine t statistic.
In a repeated-measures t-test, the t statistic is calculated using the sample mean difference, the standard deviation of the sample mean difference, and the sample size. The formula for calculating the t statistic in a repeated-measures t-test is:
t = (md - μd) / (s / √n)
where md is the mean of the difference scores, μd is the population mean of the difference scores (typically assumed to be zero), s is the standard deviation of the difference scores, and n is the sample size.
In the given statement, we are provided with the mean of the difference scores (md = 3.5) and the variance (s² = 36), but we do not have the sample size (n). Therefore, we cannot calculate the t statistic using the given information.
Hence, it is not possible to determine whether the sample will produce a repeated-measures t statistic of t = 1.75 based on the provided information.
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Select all the correct answers.
Which three statements are correct about any business organization?
The ultimate goal of a business is to make profits.
Customer loyalty has little impact on a business's revenue.
Employee satisfaction can lead to high business productivity.
O O O O
Revenue from sales is enough for a business to make money.
Customer service adds to a business's profitability in the long run.
Submit
The three statements are correct about any business organization is
a) The ultimate goal of a business is to make profits.
b) Customer loyalty has little impact on a business’s revenue.
c) Customer service adds to a business’s profitability in the long run.
What is Revenue?
Revenue is the entire amount of money made through the sale of products and services that are essential to the business's core operations. Sales or turnover are other terms used to describe commercial revenue. Some businesses make money from royalties, interest, or other fees.
Concept:
The process of identifying and grouping the work to be done, defining and allocating responsibility and authority, and building relationships in order to enable individuals to collaborate most effectively in order to achieve goals is known as organization.
The organizational process gives workers the ability to make choices that benefit their development. They are constantly prepared to take on new difficulties. This circumstance may support the growth of the company. This contributes to the enterprise's growth by enhancing its earning potential.
Over time, providing good customer service increases a company's profits.
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PLEASE PLEASE PLEASE ITS TIMED I REALLY NEED HELP
Triangular Prism with base lengths 3 m, 4 m, 5 m, and a height of 6m. What is the surface area?
(Surface area of prism = 2 × area of base + perimeter of base × height)
84 m2
92m2
96 m2
102 m2
Answer:
84 m²
Step-by-step explanation:
Solving : (Formula mentioned in question)
Finding area of base using Heron's Formula :
⇒ s = 5 + 4 + 3 / 2 = 12/2 = 6
⇒ s - a = 6 - 5 = 1
⇒ s - b = 6 - 4 = 2
⇒ s - c = 6 - 3 = 3
⇒ Area = √6 × 1 × 2 × 3
⇒ Area = √36 = 6 m²
Finding the Surface Area :
⇒ 2 × 6 + 12 × 6
⇒ 12 + 72
⇒ 84 m²
Triangular Prism with base lengths 3 m, 4 m, 5 m, and a height of 6m. What is the surface area?
Solution:
SAP = 4 + 5 + 3/2 = 12/2 = 6SAP = 6 - 5 = 1SAP = 6 - 4 = 2SAP = 6 -3 = 3A = √6 x 1 x 2 x 3A = √36 = 6m²SA = 2 x 6 + 12 x 6SA = 12cm + 72cmSurface Area = 84cm²So the Surface area is 84cm²
The points (7,-5) and (r,5) lie on a line with slope . Find the missing coordinate .
The missing coordinate is equal to 15.
How to calculate or determine the slope of a line?In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;
Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope (m) = rise/run
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
By substituting the given data points into the formula for the slope of a line, we have the following;
5/4 = (5 + 5)/(r - 7)
5/4 = 10/(r - 7)
5(r - 7) = 40
5r - 35 = 40
5r = 75
r = 75/5
r = 15.
Based on the information provided, the slope is the change in y-axis with respect to the x-axis and it is equal to 5/4.
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Complete Question:
The points (7,-5) and (r,5) lie on a line with slope 5/4. Find the missing coordinate