The coordinate of the midpoint of the segment with the given endpoints is ( 1/2, -6 ).
What is the midpoint of the segment with the given endpoint?The midpoint formular used in finding the midpoint of a segment is expressed as;
( [x₁+x₂]/2 , [y₁+y₂]/2 )
Given the data in the question;
Point V(-2,5)
x₁ = -2y₁ = 5Point Z(3,-17)
x₂ = 3y₂ = -17Plug these values into the equation above.
( [x₁+x₂]/2 , [y₁+y₂]/2 )
( [(-2) + 3]/2 , [5 + (-17)]/2 )
( 1/2 , -12/2 )
( 1/2, -6 )
The coordinate of the midpoint of the segment with the given endpoints is ( 1/2, -6 ).
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The square of T varies directly with the cube of a and inversely with the square of d; T = 2 when a = 2 and d = 4
The general formula that describes the variation is T² = 18a³/d²
Direct variation: When a variable x changes directly with another variable y, it is written in this form;x ∝ y.
This can then be written as;
x = ky
Where;
k = constant rate of change.
Inverse: When one variable x changes in the opposite direction to another variable y, it is written in this form; x ∝ 1 / y This can then be written as; x = k (1/y) Where; k = constant rate or variationCombined variation: When a variable x varies directly with variable y and inversely with variable z, we write it in this form;x ∝ (y/z)
This can then be written as;
x = k (y/z)
Where;
k = constant rate or variation
The square of T varies directly with the cube of a and inversely with the square of d.
Note that
square of T = T²
cube of a = a³
square of d = d²
Therefore, we can write;
T² ∝ a³/d²
T² = k (a³/d²)
Since;
T = 4 when a = 2 and d = 3
We can find the constant of proportionality k, by substituting the values of T=4, a = 2 and d = 3 into equation (i) and solve as follows;
(4)² = k (2³/3²)
16 = k (8/9)
8k = 16 x 9
8k = 144
k = 144/8
k = 18
Therefore, The overall formula for describing the variation is
T² = 18 a³/d²
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There are three number a,b and c, where a>b and b>c. Describe the positions of numbers on a number line
Answer:
the numbers lie on the number line from left to right: c, b, a
Step-by-step explanation:
a > b > c
bigger numbers are to the right on the number line
Write the equation of a circle for which the endpoints of a diameter are (-0,0) and (4,-6)
The above statement describes the equation of a circle whose endpoints of a diameter are (-0,0) and (4,-6):
(x + 2)² + (y + 3)² = 3.6
How do we calculate the formula of a circle?The simple form equation of a circle is: (x – x1)² + (y – y1)²= r², where (x, y) are arbitrary coordinates upon that circumference of the circle, r seems to be the radius of the circle. and (x1, y1) are indeed the coordinates of the circle's center.
According to the given data:Given points are:
(-0,0) and (4,-6)
Find that diameter's length using the locations of the locations as well as the distance formula.
d = √((x₂ - x₁)² + (y₂ - y₁)²)
= √((4 - (-0))² + (-6 - 0)²)
= √((4 )² + (-6 )²)
= √(16 + 36)
= √(52)
= 7.2
Radius will be r/2
7.2/2
= 3.6
To obtain the coordinates of the center, use the interest in obtaining and the midpoint formula.
[tex]C=\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}[/tex]
C = (-0 + 4)/2 , (-6 + 0)/2
C = -2 , -3
To write this circle equation, use the radius and the center coordinates.
(x - h)² + (y - h)² = r²
(x - (-2))² + (y - (-3))² = 3.6
(x + 2)² + (y + 3)² = 3.6
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12. A colony of rabbits in the wild found that the colony doubles in population
every year. At first there were 10 rabbits. After how many years will there
be more than 160 rabbits?
Answer:
5
Step-by-step explanation:
In the question it states that in each year the number of rabbits increase by (2) of which is represented by the word (doubled) and so this will solve this question horizontally
note that (Y) represents year
First Year =10 rabbits
Second Year=20
Third Year =40
Fourth Year =80
Fifth Year =160
can somebody help me
The Initial amount is 14.76 and the decay factor is 1.4 while the percentage rate of change is 40%.
How to express exponential Functions?We are given the function as;
y = 1.4^(t + 8)
Now, the general formula for an exponential decay function is;
f(x) = abˣ
where;
a = initial amount
b = decay factor
x = number of time intervals
Now, using laws of exponents, our initial function can be written as;
y = 1.4⁸ × 1.4^(t)
Now, 1.4⁸ = 14.76
Thus, we now have the expression as;
y = 14.76(1.4^(t))
Comparing with the general equation of exponential decay gives us;
14.76 = initial amount
1.4 = decay factor
t = number of time intervals
If decay factor is 1.4, then this denotes 140% which means that the percentage rate of change is 40%
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A teacher has $230 in a bank account to spend on school supplies and wins an additional $50 to put toward the school supplies. The teacher spends $120 on binders for students and wants to buy the classroom a new $180 tablet.
Answer:
-20
Step-by-step explanation:
Mr. Johns is using a high-clearance sprayer with two 30-foot booms. It will spray a 60-foot-wide strip. He sprayed a
960-foot-wide wheat field for weeds.
a. How many feet from the edge should he start?
b. How many round trips are needed to cover the field?
a) He will start 900 feet from the edge
b) 16 Round trips are needed to cover the field.
Because Mr. Johns intends to check a wheat field 960 feet wide for weeds so he will distribute a 60-foot wide strip using a high clearance sprayer that has two 30-foot booms.
a) 960 foot - 60 foot = 900 foot
Therefore, he should start 900 feet from the edge.
b) 960 foot / 60 foot = 16 Trips.
Therefore, 16 round trips are needed to cover the field.
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Find m∠ABC and m∠CBD
5. m∠ABC = 64°
m∠CBD = 26°
6. Using the linear pair postulate,
m∠ABC = 97°
m∠CBD = 83°
7. Using the linear pair postulate,
m∠ABC = 112.5°
m∠CBD = 67.5°
How to Apply the Linear Angles Postulate?Two angles on a straight line form a linear pair which have a sum of 180 degrees based on the linear pair postulate.
5. (11x - 2) + (5x - 4) = 90 [complementary angles]
11x - 2 + 5x - 4 = 90
16x - 6 = 90
16x = 90 + 6
16x = 96
x = 6
m∠ABC = 11x - 2 = 11(6) - 2 = 64°
m∠CBD = 5x - 4 = 5(6) - 4 = 26°
6. 8x + 9 + 6x + 17 = 180 [linear pair postulate]
14x + 26 = 180
14x = 180 - 26
14x = 154
x = 11
m∠ABC = 8x + 9 = 8(11) + 9 = 97°
m∠CBD = 6x + 17 = 6(11) + 17 = 83°
7. 14x - 6.5 + 7x + 8 = 180 [linear pair postulate]
21x + 1.5 = 180
21x = 180 - 1.5
21x = 178.5
x = 8.5
m∠ABC = 14x - 6.5 = 14(8.5) - 6.5 = 112.5°
m∠CBD = 7x + 8 = 7(8.5) + 8 = 67.5°
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I need help, please IT CAN NOT WAIT
Answer:
D and E
Step-by-step explanation:
In order for the equations to have infinite amount of solutions, they have to be equal to each other.
A: 3x-1 doesn't equal 3x+1
B: 2x-1 is not equal to 1-2x since they negate each other.
C: 3x-2 doesn't equal 2x-3
D: 3(x-1)=3x-1*3=3x-3 ==> D is an answer.
E: 2(x+1)=2x+1*2=2x+2 ==> E is an answer
F: 3(x-2)=3x-6. However, 2(x-3)=2x-6. 3x-6 doesn't equal 2x-6.
Hence, 3(x-2) doesn't equal 2(x-3).
What expressions are equivalent to 4d+6+2d4d+6+2d4, d, plus, 6, plus, 2, d ?
A TV show had 3.6 x 10^4 viewers in the first week and 4.1 x 10^4 viewers in the second week. Determine the average number of viewers over the two weeks and write the final answer in scientific notation.
really need help pls pls
Pls pls help whoever gets it right gets a crown
Answer:
8/45m² + 2/35m
Step-by-step explanation:
...........................
Find the sum. 69,348 + 76,290
Answer:
The answer you will be looking for is 145638!
If you need help how to i will explain!
Find the midpoint of line segment AB, given:
A(-7, 4) and B((3,-4)
Answer:
I believe the answer is not solvable I don’t know I might be wrong
Step-by-step explanation:
işlemleriyle çözer misiniz?
solve for a in terms of b and c
b = 3a + 5ac
solve and show your work.
3(2x+3) -4x = -3
Question 11(multiple choice worth 2 points) (order of operations mc) joshua purchased a game card for the arcade for a total of $18. he played two basketball hoop games for $3.25 each and four rounds of air hockey for $1.75 each. how much did he have left on the game card? $4.50 $6.50 $13.00 $13.50
The total balance remaining on Joshua's game card is $4.5. So, the correct option is (A).
In the Question, It is given that Joshua purchase a game card for $18 which makes the Balance Bal = $18 on his card.
Now, He played 2 rounds of Basketball hoop and each costs $3.25 which makes total for Basketball B = 2*3.25 => B = $6.25
And, He played 4 rounds of Air Hockey each game cost $1.75 which makes the total for Air Hockey A = 4*1.75 => A = $7
To calculate the remaining balance on his card we need to subtract these games' costs from the balance on his card :
=> T = Bal - B - A, Where T = Total, Bal = Balance on card, B = Basketball, A = Air Hockey
=> T = 18 - 6.25 - 7 => T = $4.5
Hence, the Total balance remaining on his card T = $4.5
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A salesclerk is creating a display of 16 polo shirts and 80 team shirts. Only one type of shirt can be in each row. What is the maximum number of shirts in each row so that all the rows are equal in length?
4
5
8
16
There may be a maximum of 16 shirts in each row to ensure that all the rows have the same length. Option D
What is the maximum number of shirts in each row so that all the rows are equal in length?The same elements at play
There are a total of sixteen polo shirts on exhibit.
80 jerseys from various teams are now on exhibit.
Each row is limited to just one kind of polo shirt.
The following are the factors that make up 80:
1, 2, 4, 5, 8, 10, 16, 20, and 80
The factors of 16 are as follows: 1, 2, 4, 8, 16.
The number 16 is the most frequent factor between the numbers 80 and 16.
Therefore, the greatest number of shirts that may be placed in each row such that the length of all of the rows is the same is 16.
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What’s the distance between (2,-3) and (4,-3)
Which numbers are irrational?
√100 √21 √36 √47
Which numbers are irrational? Select all that apply.
A. √21
B. √ 100
C. √47
D. √36
Solve equation.
k+3=14
To solve the equation, subtract 3 from both sides. The solution is k = 11.
A linear equation is an equation of which the highest degree of its variables is 1.
Steps to solve linear equations:
Simplify the expressions. If there are parentheses, remove them by multiplying the corresponding terms.Combine the same terms.Isolate the variable on one side by using subtraction of addition.Use division or multiplication to find the value of the variable.Recall that if we subtract or add the same number to both sides of an equation, it does not change the equality.
The given problem:
Solve k + 3 = 14.
The variable is k. Subtract 3 from both sides:
k + 3 - 3 = 14 - 3
k = 11 (solved)
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The oldest zoo in the United
States is the Central Park Zoo
in New York City. The zoo
opened in 1864.
1. How many years had the
Central Park Zoo been open
in 19642
2. How many years had it been
open in the year 2000?
(b) by how much could the smallest sample observation, currently 8.1, be increased without affecting the value of the sample median?
The smallest sample observation that can increase 8.1 without changing the sample median's value is 4.4.
By sample median, what do you mean?The median is the value that divides a data sample, a population, or a probability distribution's upper and lower halves in statistics and probability theory. It could be referred to as "the middle" value for a data set. Simply expressed, the sample median is the middle value after sorting the observations in ascending order if the sample size is odd. The sample median is the average of the two middle values if the sample size is equal. The data set's median value is the value that falls in the middle, ordered by magnitude. The sample median is the average of the two middle terms when the number of samples in the data set is even. When the data set is symmetrically distributed, the sample mean serves as a reliable indicator of the central tendency.
The median can be calculated as (12.5+12.6)/2=12.55.
The incremented least observed value is 12.5-8.1=4.4, and the difference is that.
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does someone mind helping me with this? Thank you!
Answer:
196m²
Step-by-step explanation:
area is w multiplied by h so 14x14
Answer:
196 [tex]m^{2}[/tex]
Step-by-step explanation:
The area of a rectangle is length times width. A square is a type of rectangle that has four equal sides, so if we know one side we know all four.
A = l x w
A = 14m x 14m
A = 196[tex]m^{2}[/tex]
3 to the power of -2 is equivalent to _____.
i need help ASAP (i will give brainliest)
Answer:
1/9
Step-by-step explanation:
3^-2 = 1/3^2
which is 1/9
Step-by-step explanation:
Evaluating 3^-2
3^-2
= 1/3²
= 1/ 3 × 3
= 1/9
Or
if you're talking about 3^-2 in decimal then...
3^-2 = 0.111111111 (in decimal)
Hope this helps
Ace that testGood luck ✅In a 36% sale, the price of a phone reduced by $135.
Find the original price of the phone.
Answer:
$210.94
Step-by-step explanation:
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day :)
Answer:
The original price was $375.
Step-by-step explanation:
The original price of the phone is x.
36% of x is $135.
0.36x = 135
x = 135/0.36
x = 375
Answer: The original price was $375.
candace works at a chocolate factory that makes 2,850 chocolates in 30 minutes. what is the constant of proportionality that relates the number of chocolates, y, to the minutes, x?
pls help me it’s due today!!
By checking the piecewise function and evaluating it at x = 1, the result of the piecewise function is equal to - 4.
How to evaluate a piecewise function at a given point of the real set
Piecewise functions are functions formed by several expressions constrained by intervals in the real set. In this case we find a piecewise functions consisting in two expressions constrained by two intervals in the real set. The piecewise function is defined by these expressions:
f(x) = (x + 2)² - 5 for x ≠ 1, that is x < 1 and x > 1.f(x) = - 4 for x = 1.Then, we need to evaluate the piecewise function at x = 1. By direct inspection, we conclude that the value according to the piecewise function evaluated at x = 1 is equal to - 4.
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A bag contains 3 blue balls and x yellow balls. Write down the total number of balls in the bag
The answer to the question is 3+x
and the probability of blue balls is 3/3+x
We are required to find out the total number of balls that is the sum of blue and yellow balls
so the total number of balls in the bag is 3+x
The concept here used is probability.
Probability is the quantitative relation of rangethe amount|the quantity} of outcomes in thorough set of equally possible outcomes that manufacture a given event to the whole number of doable outcomes
Probability(Event) = Favorable Outcomes/Total Outcomes = x/n
probability of blue balls=blue balls/total balls
=3/3+x
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Hey your question is incomplete, the complete question is
A bag contains 3 blue balls and x yellow balls.Write down the total number of balls in the bag.If a ball is drawn from the bag, write down the probability that it is blue.