Answer:
3-1 3/4= 1 1/4
Step-by-step explanation:
3( x + 4y + 6) - 2(x + 8y + 3).
Answer:
x-4y+12
Step-by-step explanation:
The value of y varies directly with x. When y=2 4/7, x=3/7 .
What is the value of y when x is 2/7 ?
A. 1 5/7
B. 2 /37
C. 3 1/7
D. 3 4/7
Answer:
1 5/7
Step-by-step explanation:
I literally just took the test so yeah
Answer:
I think the answer is 2 3/7. because you are decreasing 1/7.
Step-by-step explanation:
please help. this is urgent.
Answer:
60
Step-by-step explanation:
3*4^2+4+8
Answer:
60.
Step-by-step explanation:
So, multiply 3 x 4² that equals 48. 48 + 4 = 52 + 8 = 60.
4² = 16
3 x 16 = 48
The volume of a gas halved during an adiabatic compression that increases the pressure by a factor of 2.5 What is the specific heat ratio?
A ratio in mathematics displays how often one number occurs in another and the given situation's specific heat ratio is 1.24.
What is the ratio?In mathematics, a ratio shows how frequently one number appears in another.
For instance, the ratio of oranges to lemons in a fruit plate would be eight to six if there were eight oranges and six lemons.
Oranges make up 8:14 of the total fruit, whereas lemons make up 6:8 of the total fruit.
So, e are informed that the volume is halved, and the pressure increases by a factor of 2.5.
We shall therefore have:
PVγ = 2.5P(0.5V)γ
We'll condense this to:
(1/0.5)γ = 2.5
γ = In2.5/In2
γ = 1.32
The volume temperature relation is written as follows if the volume expands in an adiabatic process:
T1V1∧γ-1 = T2V2∧γ-1
T1V1∧1.32-1 = T2(0.5V1)∧1.32-1
Condensing this results in:
T₁ = 1.24T₂
Therefore, a ratio in mathematics displays how often one number occurs in another and the given situation's specific heat ratio is 1.24.
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How can you decompose the composite figure to determine its area? as a circle, three rectangles, and a triangle as a circle, a trapezoid, and four triangles as a semicircle, three rectangles, and a square as a semicircle, a trapezoid, and two rectangles.
Answer:
The best way to decompose the composite figure to determine its area is as a semicircle, a trapezoid, and two rectangles. This way, we can use the following formulas to find the area of each part:
Area of a semicircle = 21πr2, where r is the radius of the circle.
Area of a trapezoid = 21(b1+b2)h, where b1 and b2 are the bases and h is the height of the trapezoid.
Area of a rectangle = l×w, where l is the length and w is the width of the rectangle.
Then, we can add up the areas of each part to find the total area of the composite figure. The other options are not as convenient because they either involve more parts or more complicated shapes. For example, option A would require finding the area of a triangle, which involves using trigonometry or the Pythagorean theorem. Option B would require finding the area of four triangles, which is more tedious than finding the area of two rectangles. Option C would require finding the area of a square, which is redundant because a square is a special case of a rectangle.
Step-by-step explanation:
The composite figure can be decomposed into a semicircle, a trapezoid, and two rectangles.
Option D is the correct answer.
What is a trapezium?It is a quadrilateral that has one pair of parallel sides and a height.
The area is calculated as: 1/2 x sum of the parallel sides x height.
Examples:
Area of a trapezium that has the parallel sides as 3 cm and 4 cm and a heght o 5 cm.
Area = 1/2 x (3 + 4) x 5
Area = 1/2 x 7 x 5
Area = 35/2 = 17.5 cm^2
We have,
The given figure can be decomposed into the following figure.
- Semicircle
- Trapezoid
- Two rectangles
Thus,
A semicircle, a trapezoid, and two rectangles.
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a spinner with three equal-sized sections marked A,B, and C is spun 100 times. the result of the experiment are shown in the table what is the experimental probability of landing on A on C
The experimental probability of landing on A is 0.3 and the experimental probability of landing on C is 0.4.
What is probability?
Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.
To find the experimental probability of landing on A or C, we need to add up the number of times the spinner landed on A and C, and then divide that by the total number of spins.
From the table, we can see that the spinner landed on A 30 times and on C 40 times. Therefore, the total number of times the spinner landed on either A or C is:
30 + 40 = 70
So the experimental probability of landing on A or C is:
70/100 = 0.7
However, we need to find the experimental probability of landing on A or C separately. To do that, we need to divide the number of times the spinner landed on A or C individually by the total number of spins:
Experimental probability of landing on A = 30/100 = 0.3
Experimental probability of landing on C = 40/100 = 0.4
Therefore, the experimental probability of landing on A is 0.3 and the experimental probability of landing on C is 0.4.
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Which expressions simplify to a rational answer?
Select each correct answer.
Options (1), (3), (4), (7) and (8) are rational numbers.
What is the rational number?Rational numbers are in the form of p/q, where p and q can be any integer and q ≠ 0. This means that rational numbers include natural numbers, whole numbers, integers, fractions of integers, and decimals (terminating decimals and recurring decimals).
1) 1/4 + 1/2 = 1/4 + 2/4
= 3/4
3/4 is the rational number
2) √3 + 4 is an irrational number
3) √4 + 7
2 + 7 = 9
9 is the rational number
4) 2·√9
= 2·3
= 6
6 is the rational number
5) 7·√6 is an irrational number
6) 4·2√3 = 8√3
8√3 is an irrational number
7) 3·7·(1/3) = 7
7 is the rational number
8) 7·√81
=7·9 = 63
63 is the rational number
Therefore, options (1), (3), (4), (7) and (8) are rational numbers.
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3. x + y + z = 8
x-y+z=8
2x + y + 2z = 16
Answer: this is an impossible question dude or dudett
Step-by-step explanation:
kylie boards a ferris wheel at the 3-o'clock position and rides the ferris wheel for multiple rotations. the ferris wheel's radius is 11 meters long and the center of the ferris wheel is 14 meters above the ground. imagine an angle with its vertex at the ferris wheel's center that subtends the path jane has traveled. the ferris wheel rotates at a constant rate so that the angle sweeps out 5 radians per minute. how long does it take for kylie to complete one full rotation around the ferris wheel?
it takes 1.265 minutes for Kylie to complete one full rotation around the Ferris wheel.
Given, the Ferris wheel has a radius of 11 m.
The Angular speed of the Ferris wheel is 5 radians/ minute.
To solve this question, we first need to convert the angular speed and angular distance to linear speed and linear distance.
Angular quantity* radius= Linear quantity
Therefore, linear speed(V)= radius * angular speed
= 11*5 m/sec
=55 m/sec
Angular distance needed to be covered to complete one full rotation= 2π
Therefore, linear distance= radius* angular distance
= 11*2π
=22π
Time taken to complete on rotation= distance/ speed
= \(\frac{22}{55}\)*π minutes
= \(\frac{2}{5}\)*π minutes
= 1.265 min
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A random sample of 150 students has a grade point average with a mean of 2.86 and with a population standard deviation of 0.78. Construct the confidence interval for the population mean, μ. Use a 98% confidence level.
The 98% confidence interval for the population mean (μ) is approximately (2.711, 3.009).
In order to construct a 98% confidence interval, follow these steps:1: Identify the given data
Sample size (n) = 150 students
Sample mean (x) = 2.86
Population standard deviation (σ) = 0.78
Confidence level = 98%
2: Find the critical z-value (z*) for a 98% confidence level
Using a z-table or calculator, you'll find that the critical z-value for a 98% confidence level is 2.33 (approximately).
3: Calculate the standard error (SE)
SE = σ / √n
SE = 0.78 / √150 ≈ 0.064
4: Calculate the margin of error (ME)
ME = z* × SE
ME = 2.33 × 0.064 ≈ 0.149
5: Construct the confidence interval
Lower limit = x - ME = 2.86 - 0.149 ≈ 2.711
Upper limit = x + ME = 2.86 + 0.149 ≈ 3.009
The 98% confidence interval is approximately (2.711, 3.009).
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x squared minus 8 equals 8
\( {x}^{2} - 8 = 8 \\ \)
x^2 - 8 + 8 = 8 + 8
x^2 = 16
x = √16
x = 4
\({\large{\red{\mapsto{\maltese{\underline{\green{\boxed{\blue{\underbrace{\overbrace{\pink{\pmb{\bf{Answer:}}}}}}}}}}}}}}\)
\( \blue{ {x}^{2} - 8 = 8}\)
\( \purple{ {x}^{2} - 8 + 8 = 8 + 8}\)
\( \red{ {x}^{2} = 16}\)
\( \green{ \sqrt{ {x}^{2} } = \sqrt{16} }\)
\( \pink{x = 4}\)
Cho tam giác ABC vuông tại A có cạnh BC=10 AC=8 tính cạnh AB
Answer:
AB = 6
Step-by-step explanation:
Áp dụng định lý Pytago, ta có:
AB^2 + AC^2 = BC^2
=> AB = \(\sqrt{BC^{2}-AC^2 }\)
\(=\sqrt{10^2 - 8^2} \\= \sqrt{100 - 64} \\= \sqrt{36} \\= 6\)
Expand the expression 3(1.75 + 3x)
Answer:
5.25+6x
Step-by-step explanation:
multiply 3 by both the numbers inside
An isosceles triangle has two congruent sides of length 15 inches. The remaining side has a length of 6 inches. Find the angle that a side of 15 inches makes with the 6-inch side.
The angle that a side of 15 inches makes with the 6-inch side is approximately 78.46 degrees.
c²= a² + b² - 2ab cos(C)
In this case, we know that the lengths of the two congruent sides are both 15 inches, and the length of the remaining side is 6 inches. So we have:
15² = 6² + 15² - 2(6)(15)cos(x)
225 = 261 - 180cos(x)
180cos(x) = 36
cos(x) =\(\frac{36}{180}\)
cos(x) = 0.2
Now we can use the inverse cosine function (\(cos^{-1}\)) to find the value of "x" in degrees:
x = \(cos^{-1}\)(0.2)
x ≈ 78.46 degrees
An angle is a geometric figure formed by two rays with a common endpoint, called the vertex. The rays are known as the sides of the angle. The measure of an angle is usually expressed in degrees, and it represents the amount of rotation needed to rotate one of the sides of the angle onto the other. A full rotation around a point is 360 degrees, so an angle measuring 180 degrees is called a straight angle.
Angles can be classified according to their measure. An acute angle is an angle measuring less than 90 degrees. A right angle is an angle measuring exactly 90 degrees. An obtuse angle measures more than 90 degrees but less than 180 degrees. A reflex angle measures more than 180 degrees but less than 360 degrees.
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which equations have the same solution
0.3=x-5/13
1.2=x-0.8/4
0.4=x-1.2/8
0.9=x-0.1/5
Determine which of the points (−4,5), (4,3), and (1,2) lie on both the lines −x1−4x2=−16 and −3x1−5x2=−13.
The only point that lies on both lines is (-4,5).
To determine which of the points (−4,5), (4,3), and (1,2) lie on both the lines −x1−4x2=−16 and −3x1−5x2=−13, we need to check if the coordinates of each point satisfy both of the equations.
For the first line, we can rewrite it as x2 = (-x1 + 16)/4 and for the second line, we can rewrite it as x2 = (-3x1 + 13)/5.
Substituting the coordinates of each point into these equations, we get:
For the point (-4,5):
-4(2) + 16/4 = -4 + 4 = 0, and
-3(-4) + 13/5 = 12/5 + 13/5 = 25/5 = 5.
Therefore, (-4,5) satisfies both equations.
For the point (4,3):
4(2) + 16/4 = 8 + 4 = 12, and
-3(4) + 13/5 = -12 + 13/5 = -47/5.
Therefore, (4,3) does not satisfy both equations.
For the point (1,2):
-1(2) + 16/4 = -2 + 4 = 2, and
-3(1) + 13/5 = -3 + 13/5 = 2/5.
Therefore, (1,2) does not satisfy both equations.
Therefore, the only point that lies on both lines is (-4,5).
When given two equations, the solution can be found by solving the system of equations. To solve a system of equations, one should find the values of x and y that satisfy both equations. The solution to the system is the point (x,y) that satisfies both equations.
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Please help ;v; Use the vertical line test to determine if the relation is a function.
By vertical line test the relation represented by given curved graphs is a function.
A relation is said to be a well defined function if one element of domain set is related to exactly one element of codomain.
Here it is clear that if we draw a vertical line at any point that line cuts through only one point of the curve.
So vertical line test shows that one point of X axis i.e. one element of domain is related to one point on Curve i.e. one element of Codomain.
Hence by vertical line test we can say that the relation given is a function.
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HELP I’ll mark as Brainliest!!!
Answer:
C.
Step-by-step explanation:
......Srry if Wrong :(
Which number is irrational?
A.
19
B.
V10
C.
V16
D
25
E.
136
Answer:
v10
Step-by-step explanation:
what is a requirement for two sample means in order to conduct a hypothesis test for the difference between the two means? select all that apply!
The two samples must be independent, which means that the results of one sample should not influence the results of the other.
To lead a hypothesis test for the contrast between two examples implies, certain prerequisites should be met. The examples, right off the bat, should be free, implying that the two examples ought to be arbitrarily chosen and the people in a single example ought not to be available in another example.
Furthermore, the examples should be typically dispersed, which can be tried by plotting the information in a histogram.Also, the two examples ought to have equivalent differences, which can be tried by utilizing Levene's test.At long last, the two example sizes ought to be adequately huge to have stable outcomes, generally no less than 30 perceptions.Learn more about hypothesis tests:
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On Thursday, a website received x advertisement orders. On Friday, the website received 8 more advertisement orders than on Thursday. The expression 2x + 8 represents the total number of advertisement orders received over two days.
What does the "+8" mean in the expression 2x + 8?
how many more advertisements were ordered on Friday than Thursday
the number of days
the number of advertisement ordered on Friday
the total number of advertisement on both days
I NEED HELP ASAP PLS
Answer:
What does the "+8" mean in the expression 2x + 8?
The +8 is the 8 more advertisement orders received on Friday.
It's 8 more than x.
How many more advertisements were ordered on Friday than Thursday
8
The number of days
2
The number of advertisement ordered on Friday
x + 8
The total number of advertisement on both days
2x + 8
Answer:
A
Step-by-step explanation:
I took the test
4. What should be the minimum yield value of the key material for the key to smoothly transmit the torque of the shaft? However, the yield stress (Oc) of the shaft is 36kg/m². the diameter of the shalts 80mm, and the safety factor is 2. The dimensions of the key are 20x20x120mm De 2T
The minimum yield value of the key material should be determined based on the yield stress of the shaft, which is 36 kg/m², the dimensions of the key, and the safety factor of 2.
To ensure that the key smoothly transmits the torque of the shaft, it is essential to choose a key material with a minimum yield value that can withstand the applied forces without exceeding the yield stress of the shaft.
The dimensions of the key given are 20x20x120 mm. To calculate the torque transmitted by the key, we need to consider the dimensions and the applied forces. However, the specific values for the applied forces are not provided in the question.
The safety factor of 2 indicates that the material should have a yield strength at least twice the expected yield stress on the key. This ensures a sufficient margin of safety to account for potential variations in the applied forces and other factors.
To determine the minimum yield value of the key material, we would need additional information such as the expected torque or the applied forces. With that information, we could calculate the maximum stress on the key and compare it to the yield stress of the shaft, considering the safety factor.
Please note that without the specific values for the applied forces or torque, we cannot provide a precise answer regarding the minimum yield value of the key material.
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What GCF can be factored out of the trinomial?
3x^2-27x-303x
2
−27x−30 = ___\left(1x^2-9x-10\right)(1x
2
−9x−10)
Answer:
hahahaha bcjapfpcwkcncidj
Step-by-step explanation:
kdbcowkshxiwjs
A bag contains 10 red marbles, 7 blue marbles, and 3 green marbles. You randomly select a marble from the bag, record the color, and then put that marble back in the bag. If you were to do this 200 times, how many times would you expect to pull out a blue marble?
Answer:
70
Step-by-step explanation:
We have 7 blue marbles, and 20 total marbles. As a result, if we randomly chose one marble from the bag, the probability would be (number of favorable outcomes)/(number of total outcomes) = 7/20.
This means that for each 20 trials, we would expect to pull out a blue marble 7 times, as the probability does not change over time (because we put the marbles back, there are the same amount of each marble). Over 200 trials, we can simply make it out of 200 instead of 20. We can thus multiply 7/20 by 10/10 (10/10 is equal to 1, keeping the proportions equal) to get 70/200, so we can expect 70 blue marbles out of 200.
Show steps of how to factor (3x^2 + 5xy - 2y^2)
(3x² + 5xy - 2y²)
3x² + 5xy - 2y² (rewrite the expression) (write 5xy as a difference)
3x² + 6xy - xy - 2y² (factor the expression) (factor out 2x from the expression)
3x x (x + 2y) -y x (x + 2y) (factor the expression) (factor out x + 2y from the expression)
Solution : (x + 2y) x (3x - y)
Instructions: Find the missing segment in the image below plz help me
Answer:
56
Step-by-step explanation:
that is the procedure above
The missing segment in the image below is 8.
The missing segment is the side length of the small triangle that is formed by the two red lines and the green line. We can find the length of this side length by using the Pythagorean Theorem.
The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, the hypotenuse is the missing segment, and the other two sides are 4 and 5.
missing \(segment^2\) = \(4^2\) + \(5^2\)
missing \(segment^2\) = 16 + 25
missing \(segment^2\) = 41
missing segment = √41
Therefore, the missing segment is √41.
Here are the steps in detail:
Identify the small triangle that is formed by the two red lines and the green line.
Label the sides of the triangle with the letters A, B, and C, where C is the missing segment.
Substitute the known side lengths into the Pythagorean Theorem.
Solve for the length of the missing segment.
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PLEASE HELP!!!!!!!!!!!!!!!
Answer:
27.6%
Step-by-step explanation:
See the attached worksheet. Find the total number of marbles (29) and then take the green marbles and divide by the total and multiply by 100%. (8/29)*(100%) = 27.6% to the nearest tenth.
Can someone answer number 61 for me.Pease read the instructions.If it’s simplified tell me but still tell me the solution
Answer:
p (4n + 7m)
Step-by-step explanation:
4np + 7mp =
p(4n+7m)
Which expression is equivalent to 2x ^ 2 - 2x + 77 ? (4x + 1.2) + (2x ^ 2 - 6x + 5) (x ^ 2 - 5x + 13) + (x ^ 2 + 3x - 6) (4x ^ 2 - 6x + 11) + (2x ^ 2 - 4x + 4) (5x ^ 2 - 8x + 120) + (- 3x ^ 2 + 10x - 13)
Answer:
None of the answers provided are equivalent
Step-by-step explanation:
To solve it would be best to simplify each of the expressions you have listed by combining like terms all the x^2 terms have been bolded, the x terms italicized, and the constant terms are underlined
(4x + 1.2) + (2x ^ 2 - 6x + 5) = 2x ^ 2 - 6x + 6.2
(x ^ 2 - 5x + 13) + (x ^ 2 + 3x - 6) = 2x^2 -2x +7
(4x ^ 2 - 6x + 11) + (2x ^ 2 - 4x + 4) = 6x^2 -10x +15
(5x ^ 2 - 8x + 120) + (- 3x ^ 2 + 10x - 13) = 2x^2 + 2x + 107
The weight of three articles is 856 kg. If two of the articles weigh 502kg, what is 1/2 the weight of the third article?
Answer:
177 kg
Step-by-step explanation:
Find the weight of the third article by finding the difference between 502 and 856, since 856 kg is the total weight and 502 kg is the weight of the other 2 articles:
856 - 502
= 354
Now, find 1/2 of the weight, by dividing this by 2:
354/2
= 177
So, 1/2 the weight of the third article is 177 kg