State the missing reason in this flow proof
Given: m angle 5 = 40 degrees, m angle 2 = 140 degrees
Prove a || b
There are five blank spots
The complete flow proof is:
\(\angle 5 = 40^o\) ---- Given \(\angle 2 = 140^o\) ---- Given\(\angle 5 + \angle 2 = 180^o\) ----- \(\angle 5\) and \(\angle 2\) are supplementary angles\(\angle 5 + \angle 2 = 180^o\) ----- \(\angle 5\) and \(\angle 2\) are same-side interior angles\(a ||b\) ----- ProvedWe have:
\(\angle 5 = 40^o\)
\(\angle 2 = 140^o\)
The proof of \(a ||b\) is as follows:
The first statement is:
\(\angle 5 = 40^o\) ---- Given
The next statement is:
\(\angle 2 = 140^o\) ---- Given
Supplementary angles add up to \(180^o\).
So, the third statement is:
\(\angle 5 + \angle 2 = 180^o\) ----- \(\angle 5\) and \(\angle 2\) are supplementary angles
Same side of interior angles add up to \(180^o\).
So, the fourth statement is:
\(\angle 5 + \angle 2 = 180^o\) ----- \(\angle 5\) and \(\angle 2\) are same-side interior angles
Because the angles are supplementary angles and also same-side interior angles, then it means that line a is parallel to line b
So, the last statement is:
\(a ||b\) ----- Proved
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If the greatest common divisor is 18 What is the smallest common floor?
Answer:
lan ali ti cavâyi başi
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turkiyedemisin laaa
division property of equality 3n-5=-8(6+5n)
Answer:
n= - 1
Step-by-step explanation:
3n - 5 = -8(6+5n)
3n-5 = -48 - 40n
3n+40n = -48 + 5
43n = -43
n=-1
In a precipitation reaction, what symbol identifies the precipitate product? select one: (aq) (s) (g) (l)
Symbol (s) identifies the precipitate product in a precipitation reaction. In a precipitation reaction, two aqueous solutions react to form a solid precipitate.
The precipitate is insoluble in water and separates from the solution. To represent the precipitate in a chemical equation, the symbol (s) is used. The other symbols are used to represent different states of matter: (aq) for aqueous, (g) for gas, and (l) for liquid. For example, consider the reaction between silver nitrate (AgNO3) and sodium chloride (NaCl):
AgNO3 (aq) + NaCl (aq) → AgCl (s) + NaNO3 (aq)
In this reaction, silver chloride (AgCl) is the precipitate and is represented by (s) to indicate that it is a solid. The other symbols are used to represent different states of matter: (aq) for aqueous, (g) for gas, and (l) for liquid.
The symbol (s) is used to identify the precipitate product in a precipitation reaction, indicating that it is a solid and has separated from the aqueous solution.
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Which equation justifies why nine to the one third power equals the cube root of nine? nine to the one third power all raised to the third power equals nine raised to the one third times three power equals nine nine to the one third power all raised to the third power equals nine raised to the one third plus three power equals nine nine to the one third power all raised to the third power equals nine raised to the one third minus three power equals nine nine to the one third power all raised to the third power equals nine raised to the three minus one third power equals nine
Answer:
A
Step-by-step explanation:
At the neighborhood grocery, 33 pounds of ground beef cost $29.49. Damian spent $19.66 on ground beef. How many pounds of ground beef did he buy, to the nearest hundredth of a pound?
Wanted You To Learn So Here Answer Is Provided Just Read it Please
Step-by-step explanation:
this is a fairly easy question and you need to learn too! you may use a calculator too!
since it is 33 pound for 29.49 you divide 33 by 29.49 now you have 1.119023397761953 which is so complicated so your round it since penny's are the lowest unit of money which is 1.12. so that means it cost $1.12 per pound. so since he spent 19.66 dollars you divide by the amount it cost per pound and that is 17.55357142857143 which is again to complicated and you cant divide a penny so round it and 17.55 is the amount of pounds he bought
Tell me if it helps :) Comment so I know
The average score of 100 students taking a statistics final was 70 with a standard deviation of 7. Assuming a normal distribution, what is the probability that a student scored greater than 65?
Multiple Choice
0.7611
−0.714
0.2611
0.2389
the probability that a student scored greater than 65 is 0.2389.
The probability that a student scored greater than 65 can be calculated using the standard normal distribution and the z-score. The z-score represents the number of standard deviations a value is from the mean, and can be calculated as follows:
z = (x - mean) / standard deviation
Where x is the score of interest (65)
Mean is the average score of the students (70)
Standard deviation is the standard deviation of the scores (7).
Plugging in the values, we get
z = (65 - 70) / 7 = -0.714.
Using a standard normal distribution table, we can find the probability that a student scored greater than 65 by finding the area to the right of the z-score. The probability of a student scoring greater than 65 is approximately 0.2389, or 23.89%.
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A company that uses a perpetual inventory system made the following cash purchases and sales. There was no beginning inventory.
Jan1. Purchased 550 units at SAR 55 per unit
February 5. Purchased 350 units at SAR 65 per unit
March 16. Sold 250 Units for SAR 85 per unit
Prepare general journal entries to record the March 16 sale using the FIFO inventory valuation method and the LIFO inventory valuation method
FIFO: March 16 - Accounts Receivable 21,250, Sales Revenue 21,250, Cost of Goods Sold 13,750, Inventory 13,750.
LIFO: March 16 - Accounts Receivable 21,250, Sales Revenue 21,250, Cost of Goods Sold 14,500, Inventory 14,500.
The FIFO inventory valuation method assumes that the items purchased first are sold first. Therefore, for the March 16 sale, we need to record the cost of goods sold using the cost of the oldest units still in inventory. In this case, since 550 units were purchased on January 1 and 350 units were purchased on February 5, the cost of goods sold would be calculated based on the cost of the 250 units from the January 1 purchase, which amounts to SAR 13,750. The corresponding entry reduces the inventory and records the cost of goods sold.
The LIFO inventory valuation method assumes that the items purchased last are sold first. Thus, for the March 16 sale, we need to record the cost of goods sold using the cost of the most recent units purchased. Since 350 units were purchased on February 5, the cost of goods sold would be calculated based on the cost of these units, which amounts to SAR 14,500. The corresponding entry reduces the inventory and records the cost of goods sold.
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Help aspp please thank you
The equation of the line would be y = (-3/4)x + 5.
What is the slope-point form of the line?
For the line having slope "m" and the point (x1, y1) the equation of the line passing through the point (x1, y1) having slope 'm' would be
y - y1 = m(x - x1)
The given equation is \(y=-\frac{3}{4}x-17\)
The required line is parallel to the given line.
and we know that the slopes of the parallel lines are equal so the slope of the required line would be m = -3/4
And the required line passes through (8, -1)
so by using slope - point form of the line,
y - (-1) = (-3/4)(x - 8)
y + 1 = (-3/4)x - (-3/4)8
y + 1 = (-3/4)x + 24/4
y = (-3/4)x + (12/2 - 1)
y = (-3/4)x + 5
Hence, the equation of the line would be y = (-3/4)x + 5.
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3. according to the statistical abstract of the united states, in 2007, approximately 43% of sixth grade students reported being bullied at school. due to increased education and outreach, educators are convinced that the proportion of students being bullied at school has decreased. in a recent random sample of 75 sixth grade students, 30 responded that they experienced bullying at school. at the 5% level of significance, what can you conclude?
We do not have enough evidence to conclude that the proportion of students being bullied at school has decreased at a 5% level of significance.
Hypothesis testing:
Hypothesis testing is a statistical method used to determine whether a hypothesis about a population parameter is supported by the data. In this case, the hypothesis is that the proportion of students being bullied at school has decreased.
One-sample proportion test:The one-sample proportion test is a type of hypothesis test used to determine whether a proportion in a sample is significantly different from a known population proportion.
In this case, we are testing whether the proportion of students who reported being bullied in the sample of 75 sixth grade students is significantly different from the population proportion of 43%.
To test whether the proportion of students being bullied at school has decreased, we can use a hypothesis test with the null hypothesis that the proportion is still 0.43 and the alternative hypothesis that the proportion is less than 0.43.
Let p be the true proportion of students being bullied at school, then we have:
H₀ : p = 0.43
Hₐ : p < 0.43 (one-tailed test)
Using the sample data, we can calculate the sample proportion of students who reported being bullied at school:
=> \(\hat{p}\) = 30/75 = 0.4
We can use this to calculate the test statistic:
=> z = ( \(\hat{p}\) - p) / √(p×(1 - p)/n) = (0.4 - 0.43) /√(0.43×0.57/75) = -0.81
At the 5% level of significance with a one-tailed test, the critical z-value is -1.645. Since our calculated test statistic (-0.81) is greater than the critical value, we fail to reject the null hypothesis.
Therefore,
We do not have enough evidence to conclude that the proportion of students being bullied at school has decreased at a 5% level of significance.
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A particle moves along a straight line with velocity given by v(t)=7-(1.01)-t^2 at time t>0. What is the acceleration of the particle at time t=3 ?
HELP! Austin is going to invest $94,000 and leave it in an account for 14 years. Assuming the interest is compounded monthly, what interest rate, to the nearest tenth of a percent, would be required in order for Austin to end up with $157,000?
Answer: 3.7%
Step-by-step explanation:
i need help asap pls and no links
Answer:
D
Step-by-step explanation:
I took chemistry so I know
. A group of ten candy bars has an average cost of $0.89 per candy bar. How many bars must be bought at the cost of $0.72 a piece to bring the average down to $0.80
15 candy bars must be bought at the cost of $0.72 per piece to bring the average down to $0.80.
To find the number of candy bars needed to bring the average cost down to $0.80, we can use the formula for average:
(sum of costs)/(number of candy bars).
Let's denote the number of candy bars needed as x. We know that the sum of costs for the group of ten candy bars is 10 * $0.89 = $8.90.
To bring the average down to $0.80, the sum of costs for the x candy bars must be (10 * $0.89 + x * $0.72).
Now we can set up the equation:
(10 * $0.89 + x * $0.72)/(10 + x) = $0.80.
Simplifying this equation, we get:
8.9 + 0.72x = 0.8(10 + x).
Solving for x, we find that x = 15.
Therefore, 15 candy bars must be bought at the cost of $0.72 per piece to bring the average down to $0.80.
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complete question:
A group of ten candy bars has an average cost of $0.89 per candy bar. How many bars must be bought at the cost of $0.72 a piece to bring the average down to $0.80?
y=5x + 3 solve for x
Answer:
\(x=\frac{y-3}{5}\)
Step-by-step explanation:
\(y=5x+3\\\\y-3=5x+3-3\\\\y-3=5x+0\\\\y-3=5x\\\\5x=y-3\\\\\frac{1}{5}*5x =\frac{1}{5} *(y-3)\\\\x=\frac{y-3}{5}\)
if you like we can continue to
\(x=\frac{1}{5}y- \frac{3}{5}\)
Write an equation of the function
g(x) that is the graph of f(x)=|x| , but shifted right 3 units and shifted down 4 units.
Answer:
g(x) = |x-3| -4
Step-by-step explanation:
to shift right by 3, subtract three from x inside the absolute value.
to shift down by 4, subtract 4 outside of the absolute value.
g(x) = |x-3| -4
The term ________ refers to the interactions and processes that take place among the members of a team.
Select one:
a. process reconciliations
b. cross-functional interlocutions
c. interpersonal rotations
d. group dynamics
The term "group dynamics" refers to the interactions and processes that take place among the members of a team. The correct option is d.
Group dynamics play a significant role in shaping the overall functioning and effectiveness of a team. These dynamics encompass various aspects such as communication, decision-making, leadership, motivation, and conflict resolution. By understanding and managing group dynamics, teams can enhance their performance and achieve better results.
Effective communication is crucial for any team, as it allows members to express their thoughts, ideas, and concerns. Decision-making within a team can be influenced by the opinions and preferences of its members. In some cases, group dynamics can lead to groupthink, where individuals conform to the group's consensus rather than voicing their unique perspectives.
Leadership within a team can emerge formally or informally, impacting the direction and overall effectiveness of the group. Motivation can be affected by group dynamics, as members who feel valued and included in the decision-making process are more likely to be motivated and engaged.
Lastly, conflict resolution is an essential aspect of group dynamics, as conflicts may arise due to differences in opinions or working styles. Resolving these conflicts constructively contributes to the overall growth and development of the team.
In summary, group dynamics encompass the complex interactions and processes that occur among team members, influencing their communication, decision-making, leadership, motivation, and conflict resolution. By understanding and managing these dynamics, teams can improve their overall effectiveness and productivity.
Thus, the correct option is d.
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Write the equation for the line that goes through the point (5, 12) with a slope m=10
Answer:
y=10x+12
Step-by-step explanation:
i think this is right ? i’m not 100%
y=10x-38 is the equation for the line that goes through the point (5, 12) with a slope m=10.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
Given m=10
Now we need to find y intercept b when it is passing through (5,12)
12=10(5)+b
12=50+b
b=12-50
b=-38
y=10x-38 is the equation of line.
Hence, y=10x-38 is the equation for the line that goes through the point (5, 12) with a slope m=10.
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100 Points
what percentage of 205 is 54? can you also show your work
Answer:
the exact percentage is 26.34146. but i'd write it down as 26.34 or just 26
Step-by-step explanation:
we convert 54/205 into a percentage
Answer:
x = 26.34%
Step-by-step explanation:
Let the percentage be x:
205 * x% = 54
x% = 54 ÷ 205
x% = \(\frac{54}{205}\)
\(\frac{x}{100}\) = \(\frac{54}{205}\)
x = \(\frac{54*100}{205}\)
x = \(\frac{5400}{205}\)
x = 26.34146341%
x = 26.34%
How to solve this question
Answer:
.
Step-by-step explanation:
For an employee training, the employee to instructor ratio is 24 to 2. If there are 39 instructors for the training, how many employees participated in the training?
Answer:
468
Step-by-step explanation:
Employee : instructor = 24 : 2
If there are 39 instructors
Employee = x
Employee : instructor = x : 39
Equate both ratios
24 : 2 = x : 39
24/2 = x/39
Cross product
24 * 39 = 2 * x
936 = 2x
x = 936/2
x = 468
Employees = x = 468
a particle moves along the x-axis so that at any time t>0, its velocity is given by v(t)=4−6t2. if the particle is at position x=7 at t=1 time, what is the position of the particle at time t=2?
The position of the particle at time t = 2 is x = −3
The position of the particle at any time t can be found by integrating the velocity function. The position function is given by:
x(t) = ∫v(t)dt
= ∫(4−6t2)dt
= 4t − 2t3 + C
We are given that the particle is at position x = 7 at t = 1. We can use this information to find the constant of integration C.
7 = 4(1) − 2(1)3 + C
7 = 4 − 2 + C
C = 5
So the position function is:
x(t) = 4t − 2t3 + 5
Now we can find the position of the particle at t = 2 by plugging in t = 2 into the position function.
x(2) = 4(2) − 2(2)3 + 5
x(2) = 8 − 16 + 5
x(2) = −3
Therefore, the position of the particle at time t = 2 is x = −3.
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60 points (3 different questions) INEQUALITIES AND EQUALITY SOLVING
-6(1+7x)+7(1+6x)=-2 (I got no solution but I want to make sure that's correct)
-2(2-2x)-4(x+5)≤ -24 (I think I got the answer but I have no clue how to do this on a number line)
-2(5+6n)<6(8-2n) (I think I got the answer but no clue on the number line)
I will mark the best answer but there is a 24-hour time limit!
Answer:
1. No solution
2. All real numbers
3. Always true
Step-by-step explanation:
Answer: look at the picture and you will see the answer, for the numbers 3 -2(5+6n)<6(8-2n) it all real numbers are solutions.
Step-by-step explanation: hope this help
If TV and Wý are parallel lines and m<TUX = 122°, what is m<VUS? HELP ASAP
Answer:
m∠VUS = 122
Step-by-step explanation:
m∠TUX = 122°
∴m∠VUS = 122°(vertically opposite angles are equal)
hope this helps you!!
The solution is, m∠VUS = 122
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
We know that, a ray is a line that continues on forever inn one direction with a point at it's start.
here, we have,
from the diagram, we get,
m∠TUX = 122°
∴m∠VUS = 122°
(vertically opposite angles are equal)
Hence, The solution is, m∠VUS = 122.
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What expression is equivalent to ^3 square root of 2y^3 times 7 square root of 18y
Answer:
\(\sqrt[3]{2y^3} * 7\sqrt{18y} = 21(y^{\frac{3}{2}})(2^{\frac{5}{6}})\)
Step-by-step explanation:
The question is poorly formatted.
Given
\(\sqrt[3]{2y^3} * 7\sqrt{18y}\)
Required
Derive an equivalent expression
\(\sqrt[3]{2y^3} * 7\sqrt{18y}\)
Express 18 as 9 * 2
\(\sqrt[3]{2y^3} * 7\sqrt{9 * 2y}\)
Split the expression as follows:
\(\sqrt[3]{2y^3} * 7\sqrt{9} * \sqrt{2y}\)
Take positive square root of 9
\(\sqrt[3]{2y^3} * 7*3 * \sqrt{2y}\)
\(\sqrt[3]{2y^3} * 21 * \sqrt{2y}\)
\(21*\sqrt[3]{2y^3} * \sqrt{2y}\)
The cube root can be rewritten to give:
\(21*\sqrt[3]{2}*\sqrt[3]{y^3} * \sqrt{2y}\)
\(\sqrt[3]{y^3} = y^{3*\frac{1}{3}} = y\)
So, we have:
\(21*\sqrt[3]{2} * y * \sqrt{2y}\)
Rewrite as:
\(21y *\sqrt[3]{2} * \sqrt{2y}\)
Split \(\sqrt{2y\)
\(21y *\sqrt[3]{2} * \sqrt{2} * \sqrt{y}\)
Collect Like Terms
\(21y*\sqrt{y} *\sqrt[3]{2} * \sqrt{2}\)
Represent in index form
\(21y*y^{\frac{1}{2}} *2^\frac{1}{3} *2^\frac{1}{2}\)
Apply law of indices
\(21*y^{1+\frac{1}{2}} *2^{\frac{1}{3} +\frac{1}{2} }\)
\(21*y^{\frac{2+1}{2}} *2^{\frac{2+3}{6}}\)
\(21*y^{\frac{3}{2}} *2^{\frac{5}{6}}\)
\(21(y^{\frac{3}{2}})(2^{\frac{5}{6}})\)
Hence:
\(\sqrt[3]{2y^3} * 7\sqrt{18y} = 21(y^{\frac{3}{2}})(2^{\frac{5}{6}})\)
Corey’s cat weighed 4 pounds. A year later, it weighed 175% of its previous weight. How much did Corey’s cat weigh after one year?
Answer:
7
Step-by-step explanation:
Answer:
the answer is 7 i got it right
Step-by-step explanation:
what is the area of the figure?
Answer:
185
Step-by-step explanation:
10 x 15 = 150
The area of the rectangle is 150
17-10=7 meaning the legnth of the top part of the triangle is 7
15-5=10 meaning the height of the trangle is 10
10 x 7 =70
70/2=35
The area of the triangle is 35
35 + 150 = 185
The total area is 185
Simon's bank account has a balance of -$28.16. He goes to the bank and deposits $40.25. How much money is in his account after the deposit?
What operation is needed to solve this problem? Explain how you know and then solve.
The money in his bank account after the deposit is $12.09.
The balance amount in Simon's bank account is -$28.16.We can clearly see that the balance amount is a negative number.Simon goes to the bank and deposits $40.25.He deposits the money in the bank. It means we need to add the amount deposited by him to the existing balance amount in his bank account.We need to perform an addition operation to solve the problem.Let the amount of money in his account after the deposit be "x".x is equal to the sum of the amount before the deposit and the money deposited.x = -$28.16 + $40.25x = $12.09To learn more about addition, visit :
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I need some help please
Answer:
10x - 5
Step-by-step explanation:
Perimeter is found by adding up all the side lengths.
(2x-4) + (5x+6) + (3x-7) = 10x - 5
CAN SOMEONE HELP ME OUT WITH THIS, PLEASE AND THANK YOU
Answer:
60 people
Step-by-step explanation:
Of means to multiply
3/8 * 160
Rewriting
3 * 160/8
3 * 20
60
Answer:
60 students gave their speeches
Step-by-step explanation:
divide 160 by 8 you get 20. Then you multiply the 20 by 3 because 20 is only 1/8 of the 160 students, and you get 60.