14. In the figure (not drawn to scale), MO bisects LMN, mZNMO = (6x + 19), and m
14). Solve for x and find ZLMN.
L
M
A. x= 11, m LMN = 198°
B. x= 11, m ZLMN = 170°
N
C. x=8, m ZLMN = 25°
D. x=8, m ZLMN = 54°
Answers
The value of x is 11 and ∠LMN = 190°
What is Linear Equation in One Variable?
A linear equation is a one-variable equation of a straight line. The variable's only power is 1. Linear equations in one variable of the form ax + b = 0 are solved using simple algebraic techniques.
Solution:
Since, MO bisects the angle
we can say that, ∠LMO = ∠OMN
6x + 19 = 9x - 14
3x = 33
x = 11
so, ∠LMO = 66 + 19 = 85°
Therefor the ∠LMN = 190°
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Related Questions
6. A 36-tooth gear running at 280 RPM drives another gear with 64 teeth. At how many RPM is the other gear running? 7. If three men complete a certain job in 8 days, how many days would it take 7 men to complete the same job, considering that they all work at the same speed?
Answers
In this case, we have a 36-tooth gear driving a 64-tooth gear. The gear ratio is given by the ratio of the driven gear teeth to the driving gear teeth:
Gear Ratio = Number of teeth on driven gear / Number of teeth on driving gear
Gear Ratio = 64 / 36 = 1.7778 (approximately)
Since the gear ratio represents the ratio of RPMs, we can find the RPM of the other gear by multiplying the gear ratio by the RPM of the driving gear:
RPM of other gear = Gear Ratio * RPM of driving gear
RPM of other gear = 1.7778 * 280
RPM of other gear ≈ 498.89
Therefore, the other gear is running at approximately 498.89 RPM.
7. If three men complete a certain job in 8 days, and assuming they all work at the same speed, we can calculate the amount of work done per day by a single man.
Let's denote the amount of work done by a single man in one day as "D." Since three men complete the job in 8 days, the total work done is 3D (3 men working for 8 days).
Now, if 7 men were to complete the same job, and assuming they all work at the same speed, we can calculate the number of days required.
The amount of work done by 7 men in one day is 7D. Since the total work required remains the same, we can set up the following equation:
3D (work done by 3 men in 8 days) = 7D (work done by 7 men in x days)
By equating the amounts of work done, we can solve for "x":
3D * 8 = 7D * x
24 = 7x
x ≈ 3.43
Therefore, it would take approximately 3.43 days for 7 men to complete the same job, assuming they all work at the same speed.
factor out the gcf from each polynomial 30x^2-18x^3+6x^4
Answers
Answer:
43
Step-by-step explanation:
Evaluate the expression for s = –4.
–23s =
Answers
Answer:
92
Step-by-step explanation:
HSKDBEJJDBDISHDHIS
-23(-4) *remember that a negative multiply by a negative is a positive*
(-23)(-4)= 92
hope i could help! :))
The Pine Apple Store found that 18% of their weekly customers would purchase a new R-phone before leaving the store. If this was equivalent to 63 customers, how many total people entered the store last week?
Answers
Answer:
350 customers
Step-by-step explanation:
Since this is a ratio question and we only have variable that we need to solve (total people that entered last week), Then we can use the Rule of Three to solve this problem. We do this by multiplying the diagonal values of the following model and dividing by the third value in order to find the variable, like so...
18% of customers <====> 63 customers
100% of customers <====> x customers
(100 * 63) / 18 = x
6,300 / 18 = x
350 = x
Finally, we can see that a total of 350 customers entered the store last week.
A global denim brand announced in 2010 that it is launching a new collection of jeans which are made with reduced consumption of water during the manufacturing process. While usual manufacturing of a pair of jeans requires approximately 42 litres of water, this collection would reduce the water usage by a minimum of 28%. Do you think this initiative by the company is beneficial for water conservation? How much water can be conserved in litres, on a pair of jeans?
Answers
The number of liters of water that can be conserved will be 11.76 liters. The initiative by the company is beneficial for water conservation.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
The number of liters of water that can be conserved is given as,
⇒ 28% of 42
⇒ 0.28 x 42
⇒ 11.76 liters
The number of liters of water that can be conserved will be 11.76 liters. The initiative by the company is beneficial for water conservation.
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Question 1 of 6
Read the problem below and find the solution. Draw a diagram on your own
paper to help solve it.
If your teacher tells you to do questions 28 through 41 in your math book for
homework, how many questions is that?
(Do not include units in your answer.)
Answers
There are 14 questions in total that need to be done for homework.
If the teacher assigns questions 28 through 41 in the math book for homework, we can find the number of questions by subtracting the starting question number from the ending question number and adding 1.
Number of questions = (ending question number) - (starting question number) + 1
In this case, the starting question number is 28 and the ending question number is 41.
Number of questions = 41 - 28 + 1 = 14
Therefore, there are 14 questions in total that need to be done for homework.
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Find the missing side or angle.
Round to the nearest tenth.
B=110°
C= 30°
a=12
c=[ ? ]
![Find the missing side or angle.Round to the nearest tenth.B=110C= 30a=12c=[ ? ]](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/IJUDSPIbTeZbNomuck3osaguPKFFoMOi.png)
Answers
Hope you understand :)
![Find the missing side or angle.Round to the nearest tenth.B=110C= 30a=12c=[ ? ]](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/Q5pzm7XGjCUIn9yleosOBJZhcUHVrlxB.jpeg)
The value of angel A = 40 and side= 9.3 cm
What is sine law?The ratio of the side and the corresponding angle of a triangle is equal to the diameter of the circumcircle of the triangle. The sine law is can therefore be given as,
a/ sin A= b/ sin B= c/ sin C
The law of sines formula is used for relating the lengths of the sides of a triangle to the sines of consecutive angles. It is the ratio of the length of the side of the triangle to the sine of the angle thus formed between the other two remaining sides. The law of sines formula is used for any triangle apart from SAS triangle and SSS triangle. It says,
a/sin A = b/sin B = c/sin C
where,
a, b, and c are the lengths of the triangle
A, B, and C are the angles of the triangle.
Using angle sum property,
<A + <B + <C= 180
<A + 110 + 30 = 180
<A = 180- 140
<A= 40
Now, Using law
a/ sin A= b/ sin B= c/ sin C
12/sin 40 = c/ sin 30
c= 9.3
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based on the data in the table, what is the probability that a randomly selected persons favorite restaurant is a deli?
Answer choices
8/25
2/5
1/10
9/50
Answers
The probability that a randomly selected persons favorite restaurant is a deli is 9/50
How to determine the probabilityFrom the question, we have the following parameters that can be used in our computation:
The table of values
On the table, we have
Total = 100
Deli = 18
So, the probability is
P = Deli/Total
Substitute the known values in the above equation, so, we have the following representation
P = 18/100
Simplify
P = 9/50
Hence, the probability is (d) 9/50
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The graph of a trigonometric function is shown. Its amplitude is _ and its period is _
A) 2;2π
B) 4;6
C) 4;2
D) 4;2π
Answers
The amplitude of the trigonometric function is the distance from the middle line (or axis) to the highest point on the graph, which is 4 in this case. The period is the distance between two consecutive peaks (or troughs) on the graph, which is 2π in this case.
Therefore, the correct answer is D) 4;2π.
The graph of a trigonometric function: Its amplitude is _ and its period is _. Based on the provided options, the correct answer is D) 4;2π. This means that the amplitude of the trigonometric function is 4, and its period is 2π.
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1.
We want to solve the following system of equations using the substitution method.
Equation 1
y = 4x + 17
Equation 2
y = 2x + 7
1a
First solve for x.
Enter your next step here
Skip step
Atilla Tektas - Unit...pdf
Answers
Answer:
2x + 7= 4x + 17
7=2x+17
-10=2x
-10/2=2x/2
x=−5
Independent Practice
In 2002, the price of mailing a letter was $.34 for the first ounce or part of an ounce and $.21 for each ounce or part of an ounce after the first ounce.
Write a rule to describe the function. How much did it cost to mail a 4-ounce letter?
A.
f(x) = 0.21(x – 1); $.63
B.
f(x) = 0.34 + 0.21x; $1.18
C.
f(x) = 0.34 + 0.21(x – 1); $.97
D.
f(x) = 0.34x + 0.21(x – 1); $1.99
Answers
Answer:
C.
f(x) = 0.34 + 0.21(x – 1); $.97
Step-by-step explanation:
In 2002, the price of mailing a letter was $.34 for the first ounce and $.21 for each ounce after the first ounce. Write a rule to describe the function.
---------------------------------------
Price = 0.34 + 0.21(x-1) where x is the weight of the item in ounces.
Let +x+ = weight of the letter in ounces
Let +P+ = the price of mailing the letter in dollars
---------------------------------------
+P+=+.34+%2B+.21%2A%28+x+-+1+%29+
( +x+%3E=+1+ )
-----------------------------
A 4-ounce letter costs
+P+=+.34+%2B++%28+4+-+1+%29%2A.21+
+P+=+.34+%2B+.63+
+P+=+.97+
It costs $.97
(a) Let G be a group, and f a homomorphism from Z
2
(the direct product of Z with itself) to G. Denote a=f(0,1) and b=f(1,0). Show that ab=ba. Inversely, show that given two elements a,b∈G such that ab=ba, there exists a unique homomorphism f from Z
2
to G such that a=f(0,1) and b=f(1,0). (b) Let a and b be two distinct elements of the symmetric group S
3
, neither of which are the identity, such that ab=ba. Show that a and b are cycles of length 3 . (c) Using the previous two questions, describe all the group homomorphisms from Z
2
to the symmetric group S
3
.
Answers
(a) If f is a homomorphism from Z2 to G, then ab = ba. Conversely, if a and b are elements of G such that ab = ba, then there exists a unique homomorphism f from Z2 to G such that a = f(0, 1) and b = f(1, 0). (b) If a and b are distinct elements of S3, neither of which are the identity, such that ab = ba, then a and b are cycles of length 3. (c) There are two group homomorphisms from Z2 to S3. One homomorphism maps (0, 1) to the cycle (1 2 3) and (1, 0) to the cycle (2 3 1). The other homomorphism maps (0, 1) to the cycle (2 3 1) and (1, 0) to the cycle (1 2 3).
(a) Let f be a homomorphism from Z2 to G. Then f(0, 0) = e, the identity element of G. Also, f((0, 1)(1, 0)) = f(0, 1)f(1, 0) = ab and f((1, 0)(0, 1)) = f(1, 0)f(0, 1) = ba. Since f is a homomorphism, we must have ab = ba.
Conversely, let a and b be elements of G such that ab = ba. Then we can define a homomorphism f from Z2 to G by f(0, 0) = e, f(0, 1) = a, and f(1, 0) = b. It is easy to check that f is a homomorphism.
(b) Let a and b be distinct elements of S3, neither of which are the identity. If ab = ba, then both a and b must have order 3. This means that a and b must be cycles of length 3.
(c) Let f be a group homomorphism from Z2 to S3. Then f(0, 0) = e, the identity element of S3. Also, f((0, 1)(1, 0)) = f(0, 1)f(1, 0) and f((1, 0)(0, 1)) = f(1, 0)f(0, 1). Since f is a homomorphism, we must have f((0, 1)(1, 0)) = f((1, 0)(0, 1)). This means that either f(0, 1) and f(1, 0) are both cycles of length 3, or they are both the identity element.
If f(0, 1) and f(1, 0) are both cycles of length 3, then they must be equal to either (1 2 3) or (2 3 1). This gives us two possible homomorphisms from Z2 to S3.
If f(0, 1) and f(1, 0) are both the identity element, then f is the trivial homomorphism. This is not a valid homomorphism, because it does not map (0, 1) to a cycle of length 3.
Therefore, there are only two group homomorphisms from Z2 to S3.
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what is the measure, in degrees, of angle of FHE?
Answers
Answer:
Measure of an angle In geometry, an angle. is measured in degrees, where a full circle is 360 degrees. ... The degree is divided in to 60 minutes. For even finer measurements the minute is divided again into 60 seconds, However this last measure is so small, it only used where angles are subtended over extreme distances such as astronomical measurements, and measuring latitude and longitude.
Step-by-step explanation:
Answer:
15 degrees
Step-by-step explanation:
To find the angle, first consider that you have to find all the the other angles inside the triangle (which should equal 180 degrees). Second, the angle that is missing is supplementary to the angle 40 degrees in the other triangle and the 2 angles should add up to 180 degrees as well. Meaning that angle is 140 degrees.
If you add 140 degrees and 25 degrees, you should get 165 degrees, leaving the remaining 15 degrees to be made up by the last angle, the one you're looking for, FHE.
A survey question asked of unmarried men was, "What is the most important feature you consider when deciding to date somebody?". The results were found to depend on whether the interviewer was male or female. This is an example of
Answers
This is an example of interviewer bias where the gender of the interviewer may have impacted the replies of the unmarried males in the poll.
This is an example of interviewer bias, where the gender of the interviewer may have influenced the responses of the unmarried men in the survey. The results may not accurately reflect the true opinions of the participants as their answers could have been affected by their desire to impress or please the interviewer.
This situation is an example of response bias, specifically interviewer bias, which occurs when the respondent's answer is influenced by the gender or characteristics of the interviewer, rather than their true preferences or opinions.
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Algebra 1? What am I supposed to do it is so confusing
Answers
Answer:
you are basically given an unknown and you try to solve for it. if you need any guidance feel free to ask.
The radius of a circle is 16 yards. What is the circle's circumference?
Answers
Answer:
100.5309649149
Step-by-step explanation:
circumference = 2π(r)
Since you already have the radius of the circle, you would have to multiply the radius by 2 to get the diameter which is the full width of the circle . Then, multiply the result by π, or 3.14 and then round how you are asked to.
A recipe asks that the following three ingridients be mixed together as follows add 1/2 of a cup of flour for every 1/2 of a teaspoon of baking soday and every 1/4 of a tea spoon of salt. A. 1 teaspoon of baking soda per 1 cup of flower B. 2 teaspoons of salt per 1 cup of flour C. 1 teaspoon of baking soda per 2 teaspoons of salt D. 1/2 teaspoon of salt per 1 teaspoon of baking soda E. 2 teaspoons of salt per 1 teaspoon of baking soda. Select all that apply.
Answers
Answer:
A and D are the only ones correct
Step-by-step explanation:
I did it
Answer: A D
Step-by-step explanation:
There u go
Can someone plz help me with this?
Answers
Answer:
D
Step-by-step explanation:
because the odds have to be even if the possobility number is even
How many different ID cards can be made if there are three digits on a car in no digit can be used more than once? What if digits can be repeated?
Answers
Explanation
The question wants us to determine the number of different ID cards that can be made if there are 3 digits on a car.
To do so, let us first list out all the possible outcomes. These are:
\(0,1,2,3,4,5,6,7,8,9\)We can see that there are 10 possible digits
For the first case where no digit can be used more than once, we will have
Therefore, there are
\(10\times9\times8=720\text{ ID cards}\)For the second case, if the digits can be repeated, then, we will have
Then, since the numbers can be repeated, we will have
\(10\times10\times10=1000\text{ ID cards}\)
There are 4 boys and 7 girls in class the teacher randomly selects one student to answer questions later this teacher randomly selects a different students to answer another question. find the probability that the first student is a boy and the second is a girl
Answers
Answer:
first student's boy probability=4/11
second student's girl probability=6/10 or 7/10
Answer: 7 + 4 = 11, 4/11 = 0.36, 7/11 = 0.64
prob. of student being a boy is 0.36
prob. of student being a girl is 0.64
Step-by-step explanation:
to find the probability, you first add the numbers together to find the sum and divide the number of people from each gender by the sum
Divide 36087 by 56 and verify the result by division algorithm.
Answers
Answer:
Do like this
Step-by-step explanation:
Hope it helps you
What is the image point of (0, 1) after a translation right 5 units and up 5 units? You
Answers
Answer:
(5,6)
Step-by-step explanation:
Add 5 to each side since it is going in both positive directions (up and down)
(5,6)
Explanation: I just took the test, I’m 100% sure.
What number could you divide 10^8 by to get this same answer?
Answers
we can divide 10^8 by 10^4 to get the same answer. Another way to think about it is to note that dividing by 10^4 is the same as moving the decimal point four places to the left, which makes sense since 10^8 has eight digits and dividing by 10^4 leaves us with only four digits.
To answer this question, we need to find a number that is a factor of 10^8. One way to approach this is to look at the prime factorization of 10^8, which is 2^8 * 5^8. If we want to divide this number by a factor to get the same answer, we can cancel out one or more of the factors of 2 and 5. For example, if we divide by 2^4 * 5^4, we will be left with 2^4 * 5^4, which is the same as (10^4)^2. Therefore, we can divide 10^8 by 10^4 to get the same answer. Another way to think about it is to note that dividing by 10^4 is the same as moving the decimal point four places to the left, which makes sense since 10^8 has eight digits and dividing by 10^4 leaves us with only four digits.
To divide 10^8 by a number and get the same result, you should divide it by 1. This is because any number divided by 1 will yield the same number as the result. In mathematical terms, 10^8 ÷ 1 = 10^8. The number 1 is known as the multiplicative identity, as it doesn't change the value of a number when multiplied or divided by it. Therefore, dividing 10^8 by 1 gives you the same answer, which is 10^8.
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10y − 6y + 2y + 2y = 8
Answers
Step-by-step explanation:
\(\tt{10y-6y+2y+2y=8 }\) ⠀
\(\tt{14y-6y=8 }\) ⠀
\(\tt{ 8y=8 }\) ⠀
\(\tt{ y=\dfrac{8}{8} }\) ⠀
\(\tt{ y=1 }\) ⠀
Answer:
y=1Step-by-step explanation:
10y-6y+2y+2y=814y-6y=88y=8y=1Acceptance sampling's primary purpose is to: Group of answer choices estimate process quality. identify processes that are out of control. detect and eliminate defectives. decide if a lot meets predetermined standards. determine whether defective items found in sampling should be replaced.
Answers
Acceptance sampling is a method for determining whether a lot should be accepted or rejected based on a random sample of items. The sampling plan for an acceptance sampling procedure is determined by the manufacturer and the customer.
Acceptance sampling's primary purpose is to decide if a lot meets predetermined standards. Acceptance sampling is a statistical quality control technique that is employed to determine whether or not a lot of material should be accepted or rejected. It is a quality control method that is used to evaluate a batch of products based on a random sample of items to decide whether to accept or reject the entire batch.
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Solve each system using Cremer’s rule and please describe how you got the answer
Answers
9. The solution is (x, y) = (4/3, -5/3).
10. The solution is (x, y) = (1, 2).
The coefficient matrix is:
| -1 5 |
| 1 -2 |
The determinant of the coefficient matrix is:
|-1 5 | |-2 5 |
| 1 -2 | = (-1)(-2) - (5)(1) = 3
The matrix formed by replacing the first column of the coefficient matrix with the constants on the right side of the equation is:
| 2 5 |
|-2 -2 |
The determinant of this matrix is:
| 2 5 | | -2 5 |
|-2 -2 | = (2)(-2) - (5)(-2) = -4 + 10 = 6
|-1 2 |
| 1 -2 |
The determinant of this matrix is:
|-1 2 | | 1 2 |
| 1 -2 | = (-1)(-2) - (2)(1) = 2
Using Cramer's rule:
x = |2 5| / 3 = 4/3
|-2 -2|
y = |-1 2| / 3 = -5/3
|1 -2|
10.The coefficient matrix is:
| -5 -5 |
| -2 -4 |
The determinant of the coefficient matrix is:
|-5 -5 | |-2 -5 |
|-2 -4 | = (-5)(-4) - (-5)(-2) = -10
The matrix formed by replacing the first column of the coefficient matrix with the constants on the right side of the equation is:
| 25 -5 |
| 16 -4 |
The determinant of this matrix is:
| 25 -5 | | 16 -5 |
| 16 -4 | = (25)(-4) - (-5)(16) = -100 + 80 = -20
|-5 25 |
|-4 16 |
The determinant of this matrix is:
|-5 25 | |-4 25 |
|-4 16 | = (-5)(16) - (25)(-4) = -80 -(-100) = 20
Using Cramer's rule:
x = |-5 -5| / -10 = 1
|-2 -4|
y = |-5 25| / -10 = 2
|-4 16|
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Use an equation to solve each percent problem. Round your answer to the nearest tenth, if necessary.
15 is 75% of what?
Answers
Answer: 15 is 75% of 20.
To solve the percent problem, we can use the equation:
part = percent * whole
In this case, the "Part" is 15, and the "Percent" is 75%. We need to find the "Whole".
So we can rewrite the equation as:
15 = 75% * Whole
To solve for the Whole, we need to divide both sides of the equation by 75% or 0.75 (which is the decimal equivalent of 75%).
15 / 0.75 = Whole
Now, let's calculate the value of Whole:
Whole = 20
Therefore, 15 is 75% of 20.
In this problem, we can also solve it by setting up a proportion:
15 is to 75% as Whole is to 100%.
This can be written as:
15/75% = Whole/100%
To simplify the proportion, we can convert 75% to its decimal form, which is 0.75, and 100% to its decimal form, which is 1.
15/0.75 = Whole/1
Simplifying further, we can multiply both sides of the equation by 0.75:
(15/0.75) * 0.75 = Whole
20 = Whole
So, the Whole value is also 20.
Therefore, 15 is 75% of 20.
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Which package do you think is a better buy?justify your reasoning
Answers
I NEED SOME HELP AGAIN PLS
Answers
Answer:
The y-intercept is (26, 0)
Step-by-step explanation:
The Y intercept is the point at which the line crosses the y-axis, or when x is equal to zero. Here when x = 0, y = 26. So the y-intercept is (26, 0). They want to trick you into choosing the slope is -1/6, but that is wrong because id you look at the x-axis it is not going by 1's.
if I read 24 books in 6 weeks how many could i read in 36 weeks
Answers
Use the rule of 3 to find the answer
6 weeks ----> 24 books
36 weeks ----> x
Find x
\(\begin{gathered} x=\frac{36\text{weeks}\cdot24\text{books}}{6\text{weeks}} \\ x=144\text{books} \end{gathered}\)