The reasoning of the student is wrong because the claim doesn't abide by the sine rule and formula.
What is a sine rule and formula?The sine rule states that in a triangle, side “a” divided by the sine of angle A is equal to the side “b” divided by the sine of angle B is equal to the side “c” divided by the sine of angle C.
That is;
a/sinA= b/sinB = c/sinC
Therefore, the proper equation to find X = 5/sin98° = X/sin20°
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Which is an x-intercept of the graph of the function Y = Cot(3x)?
Answer:
A on ed 2021
Step-by-step explanation:
if you go on Desmos graphing calculator and graph y = cot(3x)
then graph the points
A. (pi/6, 0)
B. (pi/3, 0)
C. (3pi, 0)
D. (6pi, 0)
POINT A. (pi/6, 0) is the only point that intercepts the graph
The x-intercept of the graph of the function y = cot(3x) is ,
⇒ (π/6, 0)
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Here, The graph of the function is given as:
y = cot(3x)
Now, To determine the x-intercept of the graph, we set the graph to 0.
So, we have:
cot(3x) = 0
Take the arccot of both sides;
3x = arccot(0)
Evaluate the arccot of 0
3x = π/2
Divide both sides by 3
x = π/6
Hence, the x-intercept of the graph of the function y = cot(3x) is
⇒ (π/6, 0)
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What is the slope of the red and blue line
Answer:
red=-1/4 blue= 4/1
Step-by-step explanation:
rise/run
HELPP WHATS THE ANSWERRR
Answer:
C
Step-by-step explanation:
X can’t have 2 y’s
help i tihnk i know the answers but unsure
Gender is categorical nominal, end-of-the-year stock classification is categorical and ordinal, and distance is quantitative and ratio.
What is the difference between quantitative and categorical variables?Quantitative variables are measured with numbers. Some examples include:
Weight measured in kilos
The distance measured in meters or kilometers
Time measured in seconds or hours
On the other hand, a categorical variable is defined by features, categories, or concepts rather than numbers. Here is an example:
Breeds of dogs: Poodles, Boston Terriers, German shepherds, etc.
Moreover, variables can be classified as:
Nominal: Data can be categorized but not ranked.Ordinal: Data can be both categorized and ranked.Interval: Same properties as ordinal but can have values below zero.Ratio: Same properties as ordinal but does not have values below zero.Learn more about ordinal and nominal in: https://brainly.com/question/13168982
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BOWLING The cost for Nobu to go bowling is $4 per game plus an additional flat fee of $3.50 for the rental of bowling shoes. The cost can be modeled by the function f(x)=4x+3.5, where x represents the number of games bowled. Describe the graph of g(x) as it relates to f(x) if Nobu does not rent bowling shoes.
g(x) = , 1 of 3.
Select Choice
, which is the translation of f(x) , 2 of 3.
Select Choice
units , 3 of 3.
Select Choice
The graph of g(x) = 4x, is the translation of f(x) by subtracting 3.5 units, 2 of 3.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
The cost can be modeled by the function f(x)=4x+3.5, where x represents the number of games bowled.
As per the given question, the required solution would be as:
g(x) = 4x , is the translation of f(x) by subtracting 3.5 units, 2 of 3.
The graph of g(x) would be identical to the graph of f(x), but shifted 3.5 units downward, 3 of 3.
This is because the flat fee for the rental of bowling shoes is not present in the function g(x), so the y-intercept of the graph would be at (0,-3.5) instead of (0,0) in f(x) function.
The slope and the shape of the function will remain the same.
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Each machine at a certain factory can produce 90 units per hour. The setup cost is 20 dollars for each machine and the operating cost is 26 dollars per hour (total, not 26 dollars per machine per hour). You would like to know how many machines should be used to produce 40000 units, with the goal of minimizing production costs.
First, find a formula for the total cost in terms of the number of machines, n:_______
TC = ______
machines for a total cost of The minimum total cost is achieved when using dollars.
Answer:
a) \(Total Cost=20n+\frac{(\frac{40000}{90}*26)}{n}\)
b) \(n=24\)
Step-by-step explanation:
From the question we are told that:
Rate r=90 units per hour
Setup cost =20
Operating Cost =26
Units=40000
Generally the equation for Total cost is mathematically given by
\(Total Cost=20n+\frac{(\frac{40000}{90}*26)}{n}\)
\(T_n=20n+\frac{11556}{n}\\\\T_n=\frac{20n^2+11556}{n}.....equ 1\)
Differentiating
\(T_n'=\frac{n(40n)-(40n^2+11556)}{n_2}\\\\T_n'=\frac{20n^2-11556}{n^2}.....equ 2\)
Equating equ 1 to zero
\(0=\frac{20n^2+11556}{n}\)
\(n=24\)
Therefore
Substituting n
For Equ 1
\(T_n=\frac{20(24)^2+11556}{24}\)
F(n)>0
For Equ 2
\(T_n'=\frac{20(24)^2-11556}{24^2}\)
F(n)'<0
1.94 million is what percent of 2.16 million
89.81% of 2.16 million is 1.94 million.
What percentages are there?In mathematics, a number or ratio that can be expressed as a fraction of 100 is known as a percentage. After dividing a number by its whole, multiply it by 100 to determine its percentage. As a result, the percentage refers to a component per 100. The word "percent" denotes a percentage of 100.
To calculate a group's share of the total in terms of 100, use the percentage formula. Using this method, you may represent a number as a fraction of 100. You'll see that the approach below may be used to rapidly calculate each of the the percentages:
(Value/Total Value) x 100 = %
According to the question,
(x/100) 2.16 = 1.94
x = 1.94 (100)/ 2.16
x = 194/ 2.16
x = 89.81 %
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Corinna's cell phone bill was $52.75 in July.
In August, her bill was 60% of her July bill.
How much more did she pay in July than
she did in August?
Answer:
The answer is 21.10
Explanation:
If her bill in July was $52.75 and her bill in August was only 60% of July
60% of 52.75 is 31.65
and they asked how much more she paid:
52.75-31.65 = 21.10
hope this helps!
please fast if could
Answer:9/41
SOH = opposite over hypotenuse
Step-by-step explanation:
Figure A is a scale image of Figure B. Figure A: 7.2 , 4. Figure B: 3 , x. What is the value of x
Answer: 5.4
Step-by-step explanation:
Answer:
5.2
Step-by-step explanation:
Suppose that a scarf company estimates that its monthly cost is
C(a)=500x2 + 300 and its monthly revenue is
R(x) = -0.523 +6002-200+300, where x is in thousands of
scarves sold. The profit is the difference between the revenue and the cost.
What is the profit function, P(x)?
The profit function is P(x) = -500.523x^2 + 600x - 200.
To find the profit function, P(x), we need to subtract the cost function, C(a), from the revenue function, R(x).
Given:
Cost function: C(a) = 500x^2 + 300
Revenue function: R(x) = -0.523x^2 + 600x - 200 + 300
Profit function, P(x), is obtained by subtracting the cost function from the revenue function:
P(x) = R(x) - C(a)
P(x) = (-0.523x^2 + 600x - 200 + 300) - (500x^2 + 300)
Simplifying the expression:
P(x) = -0.523x^2 + 600x - 200 + 300 - 500x^2 - 300
P(x) = -500x^2 - 0.523x^2 + 600x + 300 - 200 - 300
P(x) = -500x^2 - 0.523x^2 + 600x - 200
Combining like terms:
P(x) = (-500 - 0.523)x^2 + 600x - 200
Simplifying further:
P(x) = -500.523x^2 + 600x - 200
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PLEASE HELP THIS IS DUE IN 10 MINUTES!!!!!
b1-h3, b2-h2, b3-h3.
Step-by-step explanation:
See the image.
Hope that helps! :)
(Can you please mark me as brainliest?)
my teacher didn't explain fully
Answer:
-1 > X < 2
Step-by-step explanation:
Because the distance is to the right of -1 and to the left of 2. So, the answer is -1 > X < 2
A washer and a dryer cost 792 combined. The washer costs 92 more than the dryer. What is the cost of the dryer?
Answer:
divide 792 by 2
792÷2=304
then add 92 to the cost 304
304+92=396
Ed has 2 green apples and 6 red apples in a bag. He
randomly grabs an apple for his friend and then randomly
grabs another apple for himself. What is the probability
that they both get a red apple?
The probability that they both get a red apple is, 15/28
What is probability?Probability is a mathematical term, which can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. The possibility that an event will occur is measured by probability.
Probability of Event = Favorable Outcomes/Total Outcomes = X/n
The probability of Ed's friend grabbing a red apple is,
= 6 red apples / (2 green apples + 6 red apples)
= 6/8
= 3/4.
Then, the probability of Ed grabbing a red apple from the remaining apples is,
= 5 red apples / (2 green apples + 5 red apples)
= 5/7.
So, the probability that both Ed and his friend get a red apple is,
= 3/4 x 5/7
= 15/28
Hence, the probability is 15/28
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Andrew worked over 40 hours this week. He earns $12 an hour and gets paid time and a half for overtime. If x represents total hours worked, which equation will result in the
amount of money earned for the week?
Answer:
y = 480 + 1.5 (x-40)
Step-by-step explanation:
sometimes its better to answer the question and make the formula from that
40 x 12 = 480
1.5 for overtime
x
y = 480 + 1.5 (x-40)
How did the new crown arise.
Brainliest to whoever answers
Factor 24m-12p+72 to identify the equivalent expressions.
Choose 2 answers:
A: 6(4m+2p+12)
B: 2(12m-6p+36)
C: 12(2m-p+6)
D: 24(m-12p+3)
ANSWER ASAP PLEASE ITS DUE IN THE NEXT HOUR PLEASE!!!
The correct option C: 12(2m-p+6), is the equivalent expressions for the factors of expression 24m-12p+72.
Define the term factorization?The process of breaking or decomposing an entity into a product of that other entity, as well as factors, whose multiplication results in the original number, matrix, etc., is known as factorisation or factoring.A technique for factoring an number or indeed a polynomial is called factorisation. The polynomials are divided into the sums of their component parts.The stated expression is:
= 24m - 12p + 72
The highest common factor in the equation is 12. So, taking 12 common from all three digits.
= 12(2m - p + 6)
Thus, the equivalent expressions for the factors of expression 24m-12p+72 is found as 12(2m - p + 6).
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Which number is divisible by 2,9 and 10
(a) 45
(b) 60
(c) 90
(d) 150
Answer: c
Step-by-step explanation: we know that odd numbers can’t be divided by 2 so take a out, then we see that 90 is the only one because 90/2=30, 90/9=10, and 90/10=9
Answer:
Yes, the answer is C. 90..
name the quadrilateral with 2 pairs of consecutive congruent sides with diagonals that meet at a right angle
The quadrilateral you're describing is a Kite. A kite is a quadrilateral with two pairs of consecutive congruent sides, and its diagonals meet at a right angle.
A random sample of 40 college professors is selected from all professors at a university. The following list gives their ages.
64, 40, 45, 43, 33, 50, 47, 49, 42, 28, 55, 64, 55, 41, 65.
64, 50, 45, 51, 23, 35, 64, 43, 45, 37, 37, 47, 34, 27, 49,
62, 39, 35, 44, 23, 36, 42, 34, 32, 52.
D
The required leaves values for the given stems are calculated below.
What is Stem-and-Leaf plot?A plot where every information esteem is parted into a "leaf" (typically the last digit) and a "stem" (different digits). For instance "32" is parted into "3" (stem) and "2" (leaf). The "stem" values are recorded down, and the "leaf" values are recorded close to them.
For example , 42, 34, 48, and so on.
Here 42 and 48 qualities will be written in stem 4 as their most memorable digit is 4, while 2 and 8 will be placed in the leaf side.
Likewise, 3 will be the stem, and 4 will be the leaf for esteem 34.
4| 2, 8
3| 4
According to question:65, 40, 47, 47, 33, 55, 44, 49, 46, 22, 58, 65, 56, 41, 63, 65, 54, 42, 58, 29, 39, 66 , 49, 42, 34, 36, 42, 35, 21, 44, 61, 35, 33, 42, 27, 30, 46, 33, 35, 58.
As given in the question that the stem and Leaves are to be separated by a hyphen.
Stem-and-Leaf plot 6 - 5, 5, 3, 5, 6, 1
5 - 5, 8, 6, 4, 8, 8
4 - 0, 7, 7, 4, 9, 6, 1, 2, 9, 2, 2, 4, 2, 6
3 - 3, 9, 4, 6, 5, 5, 3, 0, 3, 5
2 - 2, 9, 1, 7
As we can see above there are 5 stems, where stem 6 has 6 leaves, stem 5 has 6 leaves, stem 4 has 14 leaves, stem 3 has 10 leaves, and stem 2 has 4 leaves.
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This chart shows Dan’s budget:
A 3-column table has 5 rows. The first column is labeled Item with entries Internet, food, rent, discretionary spending, income. The second column is labeled Amount budgeted with entries 35, 100, 500, 100, 750. The third column is labeled Amount spent with entries 35, 95, 500, 140, blank.
Did Dan stay on budget? Why or why not?
Yes, Dan spent as much as he earned.
No, Dan should move to a new apartment.
Yes, Dan uses his savings to cover extra expenses.
No, Dan should reduce his discretionary spending
The correct answer is D No, Dan should reduce his discretionary spending
Explanation:
For Dan to stay on the budget he needs to spend the amount budgeted for each expense or less than the amount budgeted. This occurred in the case of the Internet, food, and rent; for example, the amount budgeted for the internet was $35 and Dan spent this money, also, the amount budgeted for food was $100 and Dan spent $95, which means he stood in the budget. However, this did not occur with discretionary spending, which refers to other non-necessary expenses, because in this case, Dan spent $140 even when the budget limit was $100. Also, this exceeds the total income considering 35 + 95 + 500+ 140 = $770, which is above the income ($750). Thus, Dan did not stay in the budget because he spent more money than expected in discretionary spending and should reduce this.
The correct answer is D. No, Dan should reduce his discretionary spending.
Hope this helps
:)
A bag contains 12 counters numbered from 1 to 12. If a counter is picked at random, find
the probability that is: even, a cube number, prime or odd?
Answer:
Step-by-step explanation:
even (2, 4, 6, 8, 10, 12) = 6/12 = 1/2
cube (1, 8) = 2/12 = 1/6 (although all numbers are a cube of something, just not a whole, or even rational, number)
prime (1, 2, 3, 5, 7, 11) = 6/12 = 1/2
odd (1, 3, 5, 7, 9, 11) = 6/12 = 1/2
Acompany makes toy plastic soccer balls each with a radius of 3 inches. How many square inches of plastic does the
company need to make 5 toy soccer balls? Use 3.14 for x and round to the nearest tenth.
Recall the formula SA-472.
O 113.0 in?
O 188.4 in?
O 376.8 in.?
O 565.2 in.
Answer:
i think it number 1 113.0 in
Answer:
113.0
Step-by-step explanation:
solve: 2/x+3 - 1/x = -4/x^2+3x
You must show your work and enter your answer below.
The solution of the linear equation is determined as x = -4.
What is the solution of the linear equation?
The solution of the linear equation is calculated by applying the following method as follows;
The given linear equation;
2/x+3 - 1/x = -4/x² +3x
We can start by simplifying the equation and getting rid of the fractions.
Multiplying every term by x will help us achieve that:
2 + 3x - 1 = -4/x + 3x²
Simplifying further:
2 + 3x - 1 = (-4 + 3x²) / x
Combining like terms:
3x + 1 = (-4 + 3x²) / x
(x)(3x + 1) = -4 + 3x²
3x² + x = -4 + 3x²
We can subtract 3x² from both sides:
x = -4
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5. Evaluate the expressions.
(-3)⁰ = -(4/9)⁰ =
Answer:
1
Step-by-step explanation:
anything to the power of 0 is equal to 1
Hopes this helps please mark brainliest
HELP!
Additive volume of rectangular prisms TRUE/FALSE?
In art class students are mixing blue and red paint to make purple paint. Isaiah mixes 3 cups of blue paint and 7 cups of red paint. Casho mixes 4 cups of blue paint and 13 cups of red paint. Use Isaiah and Casho's percent of red paint to determine whose purple paint will be redder.
Based on the percent of red paint, Casho's purple paint will be redder than Isaiah's.
To determine whose purple paint will be redder based on the percent of red paint, we need to compare the ratios of red paint to the total paint used by Isaiah and Casho.
Isaiah's Ratio:
Isaiah mixes 3 cups of blue paint and 7 cups of red paint, making a total of 3 + 7 = 10 cups of paint.
To calculate the percent of red paint, we divide the amount of red paint (7 cups) by the total amount of paint (10 cups) and multiply by 100 to get the percentage:
Red paint percentage for Isaiah = (7 cups / 10 cups) * 100 = 70%
Casho's Ratio:
Casho mixes 4 cups of blue paint and 13 cups of red paint, making a total of 4 + 13 = 17 cups of paint.
To calculate the percent of red paint, we divide the amount of red paint (13 cups) by the total amount of paint (17 cups) and multiply by 100 to get the percentage:
Red paint percentage for Casho = (13 cups / 17 cups) * 100 = 76.47% (rounded to two decimal places)
Comparing the percentages, we can see that Casho's purple paint will be redder because Casho's paint has a higher percentage of red paint (76.47%) compared to Isaiah's paint (70%).
Therefore, based on the percent of red paint, Casho's purple paint will be redder than Isaiah's.
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it is 4.5 miles from moulton to filby via Burnham and denton how far is it between denton and filby
Answer: I think that the answer is 3/4 miles
Step-by-step explanation:
If there are 16 ounces in one pound than how many ounces are there in a half pound?
Answer:
there are 8 ounces in a half pound
Step-by-step explanation:
1 pound= 16 ounces
So half pound= ½×16= 8 ounces
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