Answer:
x = 35°
Step-by-step explanation:
Co-interior angles add up to 180°, so:
2x + 43 + 2x - 3 = 180° (now, simplify)
4x + 40 = 180° (subtract 40 from both sides)
4x = 140° (divide both sides by 4)
x = 35°
Hope this helps!
Answer:
x=35
Step-by-step explanation:
given: two lines cut by a transversal to find x
solution: the given two angles are supplementary since they are consecutive interior angles.
(2x+43)+(2x-3)=180°
⇒ 4x+40=180°⇒4x=140°
⇒x=\(\frac{140}{4}\)=35
hope this helps :)
solve the equation 4x^3 + 32x^2 + 42x - 16 = 0, given that one root is equal to the sum of the other two roots
The solutions to the equation are x = -1, x = -8, and x = 1/2.
How to calculate the valueThe equation 4x³ + 32x² + 42x - 16 = 0 can be divided throuh by 2 as follows:
2x³ + 16x² + 21x - 8 = 0
We can test each of these possible roots by substituting them into the equation and seeing if we get 0. When we substitute -1, we get 0, so -1 is a root of the equation. We can then factor out (x + 1) from the equation to get:
(x + 1)(2x² + 15x - 8) = 0
We can then factor the quadratic 2x² + 15x - 8 by grouping to get:
(x + 8)(2x - 1) = 0
This gives us two more roots, x = -8 and x = 1/2.
Therefore, the solutions to the equation are x = -1, x = -8, and x = 1/2.
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can someone tell what order of operations problem makes 13?
Answer:
4 + (2 + 1)2 = 4 + (3)2 = 4 + 9 = 13
i need some help please
Answer:
1)3 2)24 3)-6 4)8 5)-2 6)18 7)-10 8)4
Step-by-step explanation:
easyyyyyy
Calculate the difference in the proportion of males and the proportion of females that smoke. Give your answer to 2 decimal places
The difference in the proportion of males and the proportion of females that smoke is 0.08
Missing informationIn a sample of 61 males, 15 smoke, while in a sample of 48 females, 8 smoke.
How to determine the proportion difference?The given parameters are:
Male Female
Sample 61 48
Smokers 15 8
The proportion is calculated using:
p = Smoker/Sample
So, we have:
Male = 15/61 = 0.25
Female = 8/48 = 0.17
The difference is then calculated as:
Difference = 0.25 - 0.17
Evaluate
Difference = 0.08
Hence, the difference in the proportion of males and the proportion of females that smoke is 0.08
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line graphs should not be used when looking at central tendencies and variation between categorical data. t/f
True. Line graphs are not suitable for representing central tendencies and variation between categorical data.They are effective in showing changes and patterns in numerical data.
Line graphs are typically used to display trends over time or the relationship between two continuous variables. However, when it comes to categorical data, which consists of distinct categories or groups, line graphs are not appropriate for representing central tendencies and variation.
Central tendencies, such as the mean or median, are measures that describe the average or typical value within a set of data. Variation refers to the spread or dispersion of the data points. Categorical data does not have a natural numerical scale or order, making it difficult to determine central tendencies and variation using line graphs.
For categorical data, alternative graphical representations like bar charts, pie charts, or stacked column charts are more suitable. These graphs provide a visual representation of the frequencies or proportions of different categories, allowing for a better understanding of the distribution and comparison between categories. Such graphs are effective in capturing the central tendencies and variation in categorical data.
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help! what is 20 +83+38+737+736+623+794+978+394+746+648+90+52+90+34+1= ?\(x_{123} 877384\)
Answer:
6064
Step-by-step explanation:
Bonnie filled her cars gas tank. She put in 10 1/2 gallons and paid $15.36.
Does anybody know the ratio in fractional form to find the cost of gasoline per gallon?
And what is the cost of gasoline per gallon.
IF YOU ANSWER WITH A LINK ILL REPORT IT;)
PLEASE PLEASE PLEASE HELP ME!!!!!!!
The order of rotation for a regular hexagon is Question options:
A)
8.
B)
7.
C)
6.
D)
5.
Answer:
D. 6
Step-by-step explanation:
Because a hexagon has 6 sides and when fully turned, it spin 360 degrees which is a whole circle!
Answer:
6
Step-by-step explanation:
Solve using order of operation 2y+7= negative 7
Answer:
y = -7
Step-by-step explanation:
2y + 7 = -7
Subtract 7 from both sides.
2y + 7 - 7 = -7 - 7
2y = -14
Divide both sides by 2.
2y/2 = -14/2
y = -7
One thousand eight hundred fifty in standard form
What are all the possible ways to name a plane?
Select 2 correct answers
Two points on the plane
⊝
A capital scripted letter
⊝
Two intersecting lines on the plane
⊝
Three non-collinear points
The possible ways to name a plane are:
A capital scripted letterThree non-collinear pointsWhat is a plane?A plane is a two-dimensional flat surface in geometry. It has no thickness and goes on forever. A wall's surface or a sheet of paper can both be considered portions of a geometric plane. The term "plane figures" refers to the flat shapes in plane geometry.
A plane is a doubly ruled surface in two dimensions that is spanned by two linearly independent vectors. A hyperplane is a generalization of the plane to higher dimensions. The dihedral angle is the angle formed by two intersecting planes. A plane can be named by a capital letter, often written in script, or by the letters naming three non-collinear points in the plane.
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- Every 8th customer that visited a store got a token. On a particular day, 50 customers visited the store. What percent of the customers that visited the store did not receive tokens?
Answer: 88%
Step-by-step explanation:
1. 50 divided by 8 (rounded) is 6
2. This means that 6 customers got a token
3. 6/50 is the fraction we can make of this
4. multiply the fraction by 2 to get 12/100, which is 12%
5. 12% got a token, so the other 88% did not. (100-12)
Hope this helped!
please help meeee!!!
Answer:
195 feet? (I know the answer but I'll leave the rest to you about typing it either cm2 or those stuff.
Step-by-step explanation:
To work this out so, congruent means identical. We already have the answer to EF so 13 x ? But BC = 15 feet. And BC = FG So,
13 x 15 = 195.
Hope this helps
Select the correct answer.
Which relation does not represent a function?
А.{(3, 0), (0, 3)}
B.{(6,-2), (5,-2)}
C.{(3, 4), (3,5)}
D.{(5, 5), (-5,-5)}
E.{(1,-2), (-2, 1)}
Moosa's sister is six years younger than 3 times his age. The sum of their ages is 30. How old is Moosa?
Suppose Moosa is ( x ) years old ,
Thus Moosa's sister is ( 3x - 6 ) years old .
The sum of their ages is 30 :
( x ) + ( 3x - 6 ) = 30 ==》 4x - 6 = 30
==》 4x = 36
==》 x = 9
So Moosa is 9 years old .
9-8. Consider the mechanism for the decomposition of ozone presented in Example 29-5. Explain why either (a) \( v_{-1} \gg v_{2} \) and \( v_{-1} \gg v_{1} \) or (b) \( v_{2} \gg v_{-1} \) and \( v_{2
To understand why either v_{-1} >> v_{2} and v_{-1} >> v_{1} or v_{2} and v_{-1} and v_{2} and v_{1} n the mechanism for the decomposition of ozone, we need to consider the rate constants and the overall reaction rate.
In the given mechanism, v_{-1} represents the rate constant for the formation of O atoms, v_{2} represents the rate constant for the recombination of O atoms, and v_{1} represents the rate constant for the recombination of O and O3 to form O2.
In the first scenario (a), where v_{-1} >> v_{2} and v_{-1} >> v_{1} it suggests that the formation of O atoms (step v_{-1} is significantly faster compared to both the recombination of O atoms (step v_{2} ) and the recombination of O and O3 (step v_{1}) . This indicates that the rate-determining step of the overall reaction is the formation of O atoms, and the subsequent steps occur relatively quickly compared to the formation step.
In the second scenario (b) v_{2} >> v_{-1} and v_{2} >> v_{1} it implies that the recombination of O atoms (step ) is much faster compared to both the formation of O atoms (step ) and the recombination of O and O3 (step ). This suggests that the rate-determining step of the overall reaction is the recombination of O atoms, and the other steps occur relatively quickly compared to the recombination step.
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if x,y,z are different and =mod x x^2 1+x^3
y y^2 1+y^3 = 0 then show than 1+xyz=0
z z^2 1+z^3
Given that x, y, z are different and satisfy the equations:
x^3 + x^2 - x = 0
y^3 + y^2 - y = 0
z^3 + z^2 - z = 0
We can multiply the first equation by y, the second by z, and the third by x to obtain:
x^3y + x^2y - xy = 0
y^3z + y^2z - yz = 0
z^3x + z^2x - zx = 0
Adding these three equations together, we get:
x^3y + x^2y - xy + y^3z + y^2z - yz + z^3x + z^2x - zx = 0
Expanding and simplifying, we find that:
x^2y + xy^2 + y^2z + yz^2 + z^2x + zx^2 - xy - yz - zx = 0
Now, we use the fact that x, y, and z are roots of the equations given above to simplify the expression further:
x^2 - x + y^2 - y + z^2 - z = 0
We can also write this as:
(x - 1)(x + 1) + (y - 1)(y + 1) + (z - 1)(z + 1) = 0
This expression can be factorized as:
(x - 1)(x + 1)(y - 1)(y + 1)(z - 1)(z + 1) = 0
Since x, y, and z are all different, we have that:
(x - 1)(x + 1) ≠ 0
(y - 1)(y + 1) ≠ 0
(z - 1)(z + 1) ≠ 0
Therefore, we have:
(x - 1)(x + 1)(y - 1)(y + 1)(z - 1)(z + 1) = (x - 1)(x + 1)(y - 1)(y + 1)(z - 1)(z + 1) = 0
So, we can conclude that:
xyz = -1
And,
1 + xyz = 0
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What is the slope of the line in the graph?
Answer:
m = 1
Step-by-step explanation:
In the Second Law experiment, In the Second Law experiment, the acceleration is calculated by measuring the time for the cart to move from the start point to the end point and applying the kinematics equation: s= 1/2 at 2 Explain how this equation is used to find the acceleration.
The kinematics equation s = 1/2at² can be used to determine the acceleration in the Second Law Experiment, where acceleration is calculated by measuring the time taken for the cart to move from the start point to the end point.
Let's derive how the equation is used to find the acceleration from this experiment:
Drivation of kinematics equation:
The kinematics equation is derived by integrating the acceleration function twice with respect to time (t).
Acceleration, a = d²s/dt², where s is displacement, and d²s is the second derivative of displacement with respect to time.
taking integral w.r.t time twice:
∫ a dt = ∫ d²s/dt² dt integrating once gives, v = at + C₁ (where C₁ is a constant of integration)
integrating twice gives, s = 1/2at² + C₁t + C₂ (where C₂ is a constant of integration)
Thus, the kinematics equation for an object moving with constant acceleration can be represented by
s = 1/2at² + vit + s₀,
where s is the displacement, a is the acceleration, t is time, vi is initial velocity, and s₀ is initial displacement.
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What is the measure of ∠3?
Question 2 options:
56°
73°
51°
107
Answer: The Answer for part 1 is 73 The answer for part 2 is 51
I hoped this helped also (im only 14 so if u see this ur doing great)
Step-by-step explanation:
some things you can put as notes for fitness
Here are some suggestions:
The exercise you're doing.
How frequent are you exercising.
The duration of exercise.
Fitness goals.
Location.
Time.
etc
3^4x-5 = (1/27)^2x+10
Answer:
x = 10935/59048 = 0.185
Step-by-step explanation:
27 = 3^3
(27)^2 = (33)^2 = 36
Gene starts from home and travels 3 miles north to the
The largest angle formed during his trip IS
shopping mall From the shopping mall, he travels 2
miles west to the library. Then, from the library, he
at his home
travels about 3.6 miles to return home. The entire trip
at the mall
forms a triangle.
between the mall and the library
Library
Mall
( between his home and the library
Home
Answer:
B. at the mall
Step-by-step explanation:
The largest angle formed during his trip is at the mall.
6. Write the equation of the line.
Answer:
y = x + 2
Step-by-step explanation:
As the equation of a line is in the form y = mx + c:
Step 1 - Calculate the y intercept
This can be done by looking at the y coordinate where x = 0:
y = mx + c
In the picture, the y intercept is 2 so:
y = mx + 2
Step 2 - Calculate the slope
This can be calculated by:
\(\frac{\text{change in y}}{\text{change in x}}\)
Get two sets of coordinates:
(0, 2) and (2, 4)
Calculate the changes by subtracting from one another:
\(\frac{4 - 2}{2 - 0} \\\frac{2}{2}\\=1\)
So the gradient is 1, meaning the equation of the line is:
\(y = 1x + 2 \\\text{or}\\y = x + 2\)
Hope this helps!
1 pts
Find the value that completes the square and then rewrite as a perfect square.
y2
2
11
y +
say i love cheese for sum points
J.D. Power and Associates says that 70 percent of car buyers now use the Internet for research and price comparisons.
Required:
a. Find the probability that in a sample of 6 car buyers, all 6 will use the Internet. (Round your answer to 4 decimal places.)
b. Find the probability that in a sample of 6 car buyers, at least 3 will use the Internet.
c. Find the probability that in a sample of 6 car buyers, more than 2 will use the Internet.
d. Find the mean and standard deviation of the probability distribution.
(a) The probability that all 6 car buyers will use the Internet is 0.1176. (b) The probability of at least 3 car buyers using the Internet is 0.9844. (c) The probability of more than 2 car buyers using the Internet is 0.9844. (d) The mean is 4.2 and the standard deviation is 0.848.
(a) To find the probability that all 6 car buyers will use the Internet, we multiply the probability of each buyer using the Internet: (0.70)^6 = 0.1176 (rounded to 4 decimal places).
(b) To find the probability of at least 3 car buyers using the Internet, we calculate the complement of the probability that fewer than 3 car buyers use the Internet. This can be done by summing the probabilities of 0, 1, and 2 car buyers not using the Internet and subtracting it from 1: 1 - [(0.30)^6 + 6 * (0.30)^5 * (0.70)^1 + 15 * (0.30)^4 * (0.70)^2] = 0.9844.
(c) To find the probability of more than 2 car buyers using the Internet, we subtract the probability of 0, 1, and 2 car buyers not using the Internet from 1: 1 - [(0.30)^6 + 6 * (0.30)^5 * (0.70)^1 + 15 * (0.30)^4 * (0.70)^2] = 0.9844.
(d) The mean of the probability distribution is given by n * p, where n is the sample size (6) and p is the probability of a single car buyer using the Internet (0.70). So the mean is 6 * 0.70 = 4.2. The standard deviation is given by the square root of n * p * (1 - p), which is sqrt(6 * 0.70 * 0.30) ≈ 0.848.
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Solve. 2/3 x = 27 (answer as a decimal)
Which one of the following correctly describes a type ll error?
A. The null hypothesis is rejected in error.
B. The research hypothesis is rejected in error.
C. The study was underpowered.
D. The study was not double-blinded.
E. The research hypothesis is accepted in error.
The correct answer is A. The null hypothesis is rejected in error.
In statistical hypothesis testing, a Type II error occurs when the null hypothesis is incorrectly retained or failed to be rejected when it is actually false.
In other words, a Type II error happens when the researcher concludes that there is no significant difference or relationship between variables when, in reality, there is.
It is a false negative result, as the researcher fails to detect a true effect or relationship.
Option A accurately describes Type II error, while the other options are not related to Type II error.
Option B refers to rejecting the research hypothesis, which is not a Type II error but rather a Type I error.
Option C refers to the study being underpowered, which may increase the likelihood of both Type I and Type II errors but is not a direct description of Type II error.
Option D mentions double-blinding, which is a methodological consideration and not directly related to Type II error.
Option E refers to accepting the research hypothesis in error, which is not a Type II error but rather a correct decision or Type I error.
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PLEASE HELP!!
The diagram shows the cross-section ABCD of a sculpture in the shape of
a prism
with perpendicular height 9 cm.
AB = 14 cm, CD = 8cm, AD = 12cm and BC = 10cm
The height of the prism is also 9 cm.
What is the total surface area of the sculpture in cm2?
Type each step of your working on a separate line.
Answer:
99 (cm^2)
Step-by-step explanation:
Perpendicular to the AB segment at points D and C, the graph is divided into two triangles and a rectangle.
The area of the middle rectangle is equal to 8*9=72. The hypotenuse of the right triangle is 10cm, and one of the right sides is 9cm, so the other side is SQRT (10^2-9^2) = SQRT (19).
One side of the left triangle is 9cm long and the other side is 14-8-sqRT (19) = 6-sqRT (19) cm.
Then, add the area of the three parts.
72+9*sqrt(19)/2+9*(6-sqrt(19))/2=99 (cm^2)