Given :
M(6,5) is the mid-point of the straight line joining A(2 , 3) to the
point B.
To Find :
The coordinates of B.
Solution :
Let, coordinates of point B is ( h , k ) .
It is given that M is the mid - point of the straight line joining points A and B.
Coordinates of M is given by :
\(M = (\dfrac{2+h}{2},\dfrac{3+k}{2})\\\\(6,5 ) = (\dfrac{2+h}{2},\dfrac{3+k}{2})\\\\\dfrac{2+h}{2} = 6 \ , \ \dfrac{3+k}{2} = 5\\\\h = 10 \ ,\ k = 7\)
Therefore, coordinates of point B is ( 10 , 7 ).
Which of the numbers listed below are solutions to the equation below?
Check all that apply.
√5 =s
S
O A. -5
O B. 3
O C. -1
O D. 5
O E 3
Answer:
3
Step-by-step explanation:
I think because
\( \sqrt{5 } = 2.236\)
so by round off it should be 2 or 3
The blue dot is at what value on the number line?
???????
Answer:
The blue dot is -19
Step-by-step explanation:
Since every 2 ticks are worth 6 (|-10|-|-4|=6), then one tick is worth 3.
We are going backward, so we can count backward.
We have to go down 3 ticks, so -10-3=-13; -13-3=-16; -16-3=-19.
The blue dot is -19
PLEASE MARK AS BRAINLIESTAnswer: The blue dot equals to -19.
Step-by-step explanation:
On the number line, there are the numbers -10 & -4.
-7 would fit in the middle of them. That means the number line goes by minus 3.
Count -10 , -13, -16, then you get on the the blue dot which is -19.
Therefore, -19 is the answer.
PLEASE MARK AS BRAINLIESTIn how many ways can the letters RAWHOR be arranged?
Solution:
Given that we are to evaluate the number of ways to arrange the letters in the word RAWHOR,
In the word RAWHOR, we have 5 distinct letters:
R(1), A(2), W(3), H(4), O(5).
There are 2 R's.
Thus, the number of ways of arranging the letters is evaluated as
\(\begin{gathered} \frac{5!}{2!}=\frac{5\times4\times3\times2!}{2!} \\ =5\times4\times3 \\ =60\text{ ways} \end{gathered}\)Hence, the letters in the word RAWHOR can be arranged in 60 ways.
• 10%
5) An experiment consists of spinning the spinner shown below 200 times and recording the
results in a frequency table. Based on theoretical probability, how many times would you
expect the color blue or green to be spun?
BLUE
GREEN
YELLOW
REd
Based on their given probabilities, e would expect the color blue or green to be spun approximately 75 times in this experiment.
How many times can the blue or green color be obtained?To find the expected number of times the color blue or green will be spun, we first need to add their probabilities:
0.25 + 0.125 = 0.375
This means that, on average, we would expect to see blue or green spun 0.375 times for every spin. To find the expected number of times this will happen over 200 spins, we can multiply the probability by the number of spins:
0.375 x 200 = 75
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There are six pizzas there are 36 players on the team. If each member has one slice and each pizza has eight slices how much pizza in fraction form will be left over.
There will be 12 slices of pizza left over, which can be expressed as 3/2 or 1 1/2 slices in fraction form.
To find out how much pizza will be left over, we need to calculate the total number of slices available and subtract the number of slices consumed by the players.
Given that there are six pizzas and each pizza has eight slices, the total number of slices available is 6 pizzas * 8 slices/pizza = 48 slices.
Since there are 36 players on the team, and each player has one slice, the total number of slices consumed is 36 slices.
To determine the remaining slices, we subtract the consumed slices from the total available slices: 48 slices - 36 slices = 12 slices.
Therefore, there will be 12 slices of pizza left over.
To express this as a fraction, we can write it as 12/1, which simplifies to 12. This means there will be 12 whole slices of pizza left over.
If you would like to express it as a fraction in its simplest form, you can write it as 12/8. By dividing both the numerator and denominator by their greatest common divisor, which is 4, we get 3/2. So, in fraction form, there will be 3/2 or 1 1/2 slices of pizza left over.
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9,12,7,10,5,8,3,_,_,_
the first is 6, then 1, then 4
which expression represents the following calculation? subtract 1.9 from the product of 7.4 and 3.
A (7.4 + 3) - 1.9
B 7.4 x (3 - 1.9)
C (7.4 x 3) - 1.9
D (7.4 x 1.9) - 3
Answer:
The answer to the question is C
Step-by-step explanation:
as the question state that 1.9 is subtracted from the 7.4×3 so tge 1.9 will be removed ffrom it .
Determine the inverse of the function f(x)=2(x-3)^2 +4
The correct statement regarding the inverse function is given as follows:
\(f^{-1}(x) = 3 - \sqrt{\frac{x - 4}{2}}\), with a domain of x ≤ 3.
How to obtain the inverse function?The function for this problem is defined as follows:
f(x) = 2(x - 3)² + 4.
The axis of symmetry of the function is of x = 3, hence the domain of the inverse function is given as follows:
x ≤ 3.
The inverse function is obtained exchanging x and y and then isolating y, hence:
x = 2(y - 3)² + 4
2(y - 3)² = x - 4.
\((y - 3)^2 = \frac{x - 4}{2}\)
\(y - 3 = \sqrt{\frac{x - 4}{2}}\)
\(f^{-1}(x) = 3 - \sqrt{\frac{x - 4}{2}}\)
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F(x) =(2)^x -4 graph, label 3 integer points, indicate shape / direction label coordinates. Domain- Range-
Answer: On this graph, you could label integer points (0,-4) which is the vertex, and (-2, 4) and (2,4)
Step-by-step explanation:
The shape is a parabola opening upwards. The x-intercepts are (-1.414,0) and (1.414, 0) The positive and negative values of √2
The domain (x-values from left to right) All real numbers (-∞, ∞ )
The range (y-values bottom to top) All real numbers greater than or equal to -4 [-4, ∞ )
find the zeros f(x) = x 3 - 3x 2 – 5x +15
Answer:
x = ± \(\sqrt{5}\) x = 3
Step-by-step explanation:
to find the zeros set f(x) = 0 , that is
x³ - 3x² - 5x + 15 = 0 ( factor the first/second and third/fourth terms )
x²(x - 3) - 5(x - 3) = 0 ← factor out (x - 3) from each term
(x - 3)(x² - 5) = 0
equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
x² - 5 = 0 ( add 5 to both sides )
x² = 5 ( take square root of both sides )
x = ± \(\sqrt{5}\)
the zeros of f(x) are then
x = - \(\sqrt{5}\) , x = \(\sqrt{5}\) , x = 3
2021: Sales Revenues = $800,000. Cost of good sold = $350,000
2020: Sales Revenues = $795,000. Cost of good sold = $600,000
Answer:
Step-by-step explanation:
Sales Revenue: $800.00
Cost of good sold: $350,000.00
Subtract: $450,000.00
Sales Revenue: $795,000.00
Cost of good sold: $600,000.00
Subtract Sales $195,000.00
Revenue from Cost
of goods sold.
Find the value of angle A if angle C is 90 degrees and angle B is 30 degrees.
Answer:
60 degrees
Step-by-step explanation:
A triangle has 3 angles and is a total of 180 degrees.
a + 30 + 90 = 180
a + 120 = 180
a = 60
elected at
pants?
D. 음
is divided
oun once,
will land
5.
To order a burrito from Teresa's Burrito Shop, Jim
always chooses 1 item from each column in the
table below.
Burrito Choices
Topping
beans sour cream
guacamole
Wrap Filling
plain
wheat beef
chicken
What is the total number of ways that Jim can
order a burrito at Teresa's Burrito Shop by
choosing 1 wrap, 1 filling, and 1 topping?
A. 6 B. 7 C. 10 D. 12
Answer: d.12
Step-by-step explanation:
Solve the inequality below for z.
8z+3>3z-17
A.z>-4
B.z<-14/5
C.z<-4
D.z>-14/5
Therefore, the solved inequality is z > -4.
Hoped this helped.
\(BrainiacUser1357\)
Order the values from least to greatest.
-8,
|-9|,
|-8|,
7,
-6,
Answer:
least
-8
-6
7
|-8|
|-9|
greatest
Answer:
-8, -6, 7, |-8|, |-9|,
Step-by-step explanation:
|-8| and |-9| are equal to 8 and 9.
Please help me with this
The volume of rectangular prism is 90 unit³.
We can consider the 1 block = 1 unit.
Length of prism = 5 unit
width of prism = 6 unit
Height of prism = 3 unit
So, Volume of rectangular prism
= l w h
= 5 x 6 x 3
= 90 unit³
Thus, the volume of rectangular prism is 90 unit³.
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A genetic experiment with peas resulted in one sample of offspring that consisted of 440 green peas and 155 yellow peas.
a. Construct a 95% confidence interval to estimate of the percentage of yellow peas.
b. Based on the confidence interval, do the results of the experiment appear to contradict the expectation that 25% of the offspring peas would be yellow?
The 95 percent confidence interval is (0.20, 0.32).
a. We can construct a 95% confidence interval to estimate the percentage of yellow peas as follows:
Let p = proportion of yellow peas = 155/595 = 0.26
Sample size = n = 595
Standard error = SE = √(p × (1-p) / n) = √(0.26 × (1-0.26) / 595) = 0.03
95% confidence interval = p ± 1.96 × SE
= 0.26 ± 1.96 × 0.03
= 0.26 ± 0.06
So, the 95% confidence interval is (0.20, 0.32).
b. Yes, the results of the experiment appear to contradict the expectation that 25% of the offspring peas would be yellow, as the 95% confidence interval does not include the expected value of 0.25.
Therefore, the 95 percent confidence interval is (0.20, 0.32).
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The volume of a cylinder is 637 cm³. If the radius is 3 cm, what is the height
of the cylinder?
If the radius is 3 cm, the height of the cylinder is approximately 7.06 cm, which is closest to option B, 7 cm. The correct option is B.
The formula for the volume of a cylinder is V = πr²h, where V is the volume, r is the radius, and h is the height.
We are given that the volume of the cylinder is 637 cm³ and the radius is 3 cm. Substituting these values into the formula, we get:
637 = π(3²)h
Simplifying:
637 = 9πh
h = 637 / (9π)
h ≈ 7.06
Thus, the height of the cylinder is approximately 7.06 cm, which is closest to option B, 7 cm.
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4a=23 Solve the equation. 4a=23 a=
Answer:
4a=23
4a/4 = 23/4
a=5.75
Step-by-step explanation:
Choose ALL that apply to classify the decimal.
0.186
Question 3 options:
Rational
Repeating
Irrational
Nonterminating
Terminating
Answer:
Rational TerminatingStep-by-step explanation:
A Rational number is one that can be expressed as a fraction where the denominator is not zero. The above decimal can be expressed as a fraction in the form : ¹⁸⁶/₁₀₀₀
The decimal is also a terminating decimal which describes a decimal number that has a certain number of digits after the decimal point. In other words, the digits after the decimal point do not go on forever. 0.186 has three digits after the decimal meaning it does not go on forever.
How many 2 1/3 m lengths of rope can be cut from a rope of length 21 m?
Which number equals 3 4 exponent -2
The answer for the above expression is 16/9.
What is an expression?An expression is a combination of numbers, variables, and mathematical operations, such as addition, subtraction, multiplication, division, exponentiation, and root extraction, that represents a mathematical quantity or a mathematical statement. An expression can be as simple as a single number or variable, or it can be a complex combination of several numbers, variables, and operations.
According to the given information:
The expression "\((\frac{3}{4} )^{2}\)" represents the fraction "3/4" raised to the power of "-2". In mathematical notation, this is written as "\((\frac{3}{4} )^{-2}\)".
To calculate this value, we can use the rule that a negative exponent is equivalent to taking the reciprocal of the base raised to the positive exponent. Therefore, "\((\frac{3}{4} )^{-2}\)" is equal to the reciprocal of "3/4" raised to the power of "2", or "\(\frac{1}{(\frac{3}{4} )^{2}}\)".
Evaluating this expression, we get:
\((\frac{3}{4} )^{-2}\)= \(\frac{1}{(\frac{3}{4} )^{2}}\) = \(\frac{1}{(\frac{9}{6})^{2} }\)= 16/9
So, "\((\frac{3}{4} )^{-2}\)" is equal to 16/9.
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can someone fill in the blanks for me I'm doing a vocab test on math so plz help thx brainliest awarded
Answer:
15 - Given a system of two equations, we can produce an equivalent system by replacing one equation by the sum of the two equations, or by replacing an equation by a multiple of itself.
16 - It tells us that two expressions mean the same thing, or represent the same number. An equation can contain variables and constants.
17 - Commutative Properties
Step-by-step explanation:
Answer:
i gotchu babe lol,
14.Associative Property
15. equivalent systems
16. equation
17.Commutative Property
Step-by-step explanation:
i love you so much, i hope this helps you babe.
Please answer this correctly
Answer:
3/8
Step-by-step explanation:
Since the wheel is numbered 2 through 9, only 3 of the 8 are less than 5 (2, 3, and 4)
Answer:
37.5%
Step-by-step explanation:
It’s 3/8 but to make a percent you divide 3 by 8 which is .375 and you move the decimal place 2 places to the right do it is 37.5%
What is this!!! I need to know quick
Answer:
x<3
Step-by-step explanation:
the dot is not black so it means that its not equal to three but bigger than three
The points D (−4, 4), E (1, −4), F (9, 1), G (4, 9) form quadrilateral DEFG.
Plot the points then click the "Graph Quadrilateral" button.
A graph of quadrilateral DEFG with points D (−4, 4), E (1, −4), F (9, 1), and G (4, 9) is shown on the coordinate plane in the image below.
What is a quadrilateral?In Mathematics and Geometry, a quadrilateral can be defined as a type of polygon that has four (4) sides, four (4) vertices, four (4) edges and four (4) angles.
In this scenario, we would use an online graphing tool to plot quadrilateral DEFG based on the given coordinates or its points D (−4, 4), E (1, −4), F (9, 1), and G (4, 9).
Based on the graph of quadrilateral DEFG with points D (−4, 4), E (1, −4), F (9, 1), and G (4, 9), this quadrilateral is composed of two pairs of opposite sides that are parallel and as such, we can logically deduce that it most likely represents a square.
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What is the intermediate step in the form (x+a)^2=b(x+a) 2 =b as a result of completing the square for the following equation?3x^2-18x=3x 2 −18x=\,\,357357
We must complete the square of the following polynomial:
\(p(x)=3x^2-18x.\)So, we must take this polynomial to the general form:
\(p(x)=(x+h)^2+k.\)1) First, we take 3 as a common factor:
\(p(x)=3\cdot(x^2-6x).\)2) Now, we rewrite the expression inside the parenthesis as:
\(p(x)=3\cdot(x^2-2\cdot3\cdot x).\)3) We add and subtract inside the parenthesis the number 3², so we have:
\(p(x)=3\cdot(x^2-2\cdot3\cdot x+3^2-3^2)=3\cdot(x^2-2\cdot3\cdot x+3^2)-3\cdot3^2.\)4) We identify the expression inside the parenthesis as (x - 3)², then we simplify the term outside it:
\(p(x)=3\cdot(x-3)^2-27.\)AnswerThe expression obtained after completing squares is:
\(3\cdot(x-3)^2-27\)V to the third power = 12.
Whoever answers did correctly with a good step by step explanation will get brainliest
Answer:
2.28942848511
Step-by-step explanation:
V^3 = V x V x V
V x V x V = 12
12 = 2 x 2 x 3
Those are not equal, so V must be an irrational number.
But I just used a calculator. ¯\_(ツ)_/¯
3 1 R7 12 8 27 - 2 4 1 2 O 00 7 4 0 7
Answer:
=31r712827−2412o7407
Step-by-step explanation:
The diameter of a bicycle wheel is 60 centimeters. How far does the wheel travel when it makes 35 revolutions? Give your answer in. meters( Math in focus singapore math course 1 B)
Answer:
The circumference of a circle is given by the formula "C = pi x d" where "d" is the diameter and "pi" is the mathematical constant with an approximate value of 3.14.
In this problem, the diameter of the bicycle wheel is 60 centimeters, so its circumference is:
C = pi x d = 3.14 x 60 = 188.4 centimeters
When the wheel makes one revolution, it travels one circumference distance. Therefore, when the wheel makes 35 revolutions, it will travel:
distance = 35 x circumference = 35 x 188.4 = 6584 centimeters
We can convert centimeters to meters by dividing the distance by 100:
distance = 6584 ÷ 100 = 65.84 meters
Therefore, the wheel travels 65.84 meters when it makes 35 revolutions.