Since the cosecant is the inverse of the sine, we can write the following:
\(\begin{gathered} \csc (\theta)=\frac{7}{4} \\ \sin (\theta)=\frac{1}{\csc(\theta)}=\frac{1}{\frac{7}{4}}=\frac{4}{7} \end{gathered}\)Then, using a calculator, we can calculate the angle that has a sine of 4/7:
\(\begin{gathered} \theta=\sin ^{-1}(\frac{4}{7})_{} \\ \theta=34.85\degree \end{gathered}\)There is one more angle between 0 and 2π that has the same value of 4/7 for the sine, and it's the supplementary angle to the one we found:
\(\theta_2=180-\theta_1=180-34.85=145.15\degree\)Therefore the answers are 34.85° and 145.15°.
Converting to radians, we have:
\(\begin{gathered} 34.85\cdot\frac{\pi}{180}=0.61 \\ 145.15\cdot\frac{\pi}{180}=2.53 \end{gathered}\)So the final answer is 0.61 and 2.53.
Graph a line that contains the point (-6, 1) and has a slope of 5?
What is the product of −17 • −5 • −12?
Answer:
-1020
Step-by-step explanation:
-17 x - 5 x - 12 =
- 17 x 60 =
- 1020
Let f(x)=-2x-1 and g(x)=x^2-3
Find (f○g)(1)
Answer:
\((f\circ g)(1)=3\)
Step-by-step explanation:
\((f\circ g)(1)=f(g(1))=f(1^2-3)=f(-2)=-2(-2)-1=4-1=3\)
Ask me more about composite functions if you are still confused
An electronics company has a contract to deliver 21,475 radios within the next four weeks. The clientis willing to pay $20 for each radio delivered by the end of the first week, $18 for those delivered by theend of the second week, $16 by the end of the third week, and $14 by the end of the fourth week. Sinceeach worker can assemble only 50 radios per week, the company cannot meet the order with its presentlabor force of 40; hence it must hire and train temporary help. Any of the experienced workers can betaken off the assembly line to instruct a class of three trainees; after one week of instruction, each of the trainees can either proceed to the assembly line or instruct additional new classes.
At present, the company has no other contracts; hence some workers may become idle once the delivery is completed. All of them, whether permanent or temporary, must be kept on the payroll 'til the end of the fourth week. The weekly wages of a worker, whether assembling, instructing, or being idle, are $200; the weekly wages of a trainee are $100. The production costs, excluding the worker's wages, are $5 per radio. The company's aim is to maximize the total net profit.
Required:
Formulate this as an LP problem (not necessarily in the standard form).
Step-by-step explanation:
See attached a detailed annotation of the LP formulation
let is describe the problem bellow.
An electronics company has a contract to deliver 21,475 radios within
the next four weeks. The client is willing to pay
$20 for each radio delivered by the end of week 1
$18 for each radio delivered by the end of week 2
$16 for each radio delivered by the end of week 3
$14 for each radio delivered by the end of week 4
Each worker can assemble 50 radios/wk.
Size of present workforce = 40.
Any experienced worker can be taken off the assembly line to instruct a class
of three trainees; after one week of instruction, each of the trainees can
either proceed to the assembly line or instruct additional new classes.
Weekly wages for experienced workers: $200
Weekly wages for trainees: $100
Production costs, excluding wages: $5/radio.
If I was getting food stamps and I needed three months proof of income and I had to have a gross of 2495 and net of 1920 what would I need to put for the three months income amount?
Answer:
26
Step-by-step explanation:
10 + 15
Answer:
Step-by-step explanation:
yes you would. they are very strict with food stamps or EBT card they will still ask for the 3 months for so put in your 3 months and you should be fine.
help me find the volume because im bad at math :)
Answer:
v=2144.66
Step-by-step explanation:
V=4/3πr^3
sub in r which is 8
V=4/3 * π * 8^3
V=4/3 * π * 512
Determine the value of y for the inequality 2 times the quantity y plus one third end quantity is greater than two thirds. y is greater than negative 1 over 36 y is less than negative 1 over 36 y > 0 y < 0
The value of y for the inequality is y > 0
How to determine the value of y for the inequality?
An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value e.g. 5 < 6, x ≥ 2, etc.
The inequality 2 times the quantity y plus one third end quantity is greater than two thirds can be written as:
2(y + 1/3) > 2/3
To determine the value of y in the inequality, you need to solve for y. That is:
2(y + 1/3) > 2/3
y + 1/3 > 1/3 (Divide both sides by 2)
y > 1/3 - 1/3 (Collect like terms)
y > 0
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There are 4 boys and 4 girls. In how many ways they can sit in a row
(i) there is no restriction.
(ii) not all girls sit together.
(iii) no two girls sit together.
If there are 4 boys and 4 girls , then the number of ways in which
(i) there is no restriction is 40320 ways ,
(ii) not all girls sit together is 37440 ways ,
(iii) no two girls sit together is 2880 ways .
the number of boys in the class is = 4 boys ;
the number of girls in the class is = 4 girls ;
Part(i) ,
we have to find number of ways in which they can sit in a row where there is no restriction .
there are total of 8 persons ,
So ,the number of ways in which 8 persons can be arranged without any restrictions is = 8! ways.
= 40320 ways
Part(ii) ,
we have to find number of ways in which they can sit in a row where not all girls sit together.
the cases where all gets sit together is written as :
= B₁ , B₂ , B₃ , B₄ , G ⇒ 5! ways ;
= B: G₁ , G₂ , G₃ , G₄ ⇒ 4! ways ;
the number of ways all girls are together is = 5! × 4! ;
So , the number of ways not all girls are together is = 8! - 5!×4! ;
= 37440 ways
Part(iii) ,
we have to find number of ways in which they can sit in a row where no two girls sit together.
this case can be denoted as : G , B₁ , G , B₂ , G , B₃ , G , B₄ .
So , the boys can be arranged in 4! ways ;
and there will be 5 places for 4 girls , which can be arranged in ⁵P₄ ways ;
total number of ways is = 5!×4! = 2880 ways .
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The price of an item has been reduced by 60%. The original price was $52
by half time, curry scored 22 of the teams 56 points. What percent of his teams points did curry score?
The percentage scored by Curry is 39.3% oby halftime.
How to determine the percentage scoredTo find the percentage of his team's points that Curry scored, we can use the following formula:
percentage = (part / whole) x 100
Where
Part = 22 points
Whole = 56 points
Substitute the known values in the above equation, so, we have the following representation
Percentage = (22 / 56) x 100%
Evaluate
Percentage = 39.3%
Hence, Curry scored 39.3% of his team's points by halftime.
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A submarine descends to a depth of 600 feet below the surface in 10 minutes. At this rate, what integer represents the change, in feet, of the submarine's position after one minute?
I really need help.
A submarine descends to a depth of 600 feet below the surface in 10 minutes. At this rate, what integer represents the change, in feet, of the submarine's position after one minute?
First you need to list what you're given.
A submarine descends to a depth of 600 ft below the surface in 10 minutes. The question is asking for the change of the submarine's position after one minute. This can be represented as fractions in terms of \(\frac{distance}{time}\).
\(\frac{600}{10} = \frac{x}{1}\)
You're looking for the value of x. First you need to cross-multiply.
\(600 \times 1 = 10 \times x\\600=10x\)
Since you're looking for x alone, you need to divide both sides by 10. This will eliminate the 10 since x is being multiplied by 10, and 10 divided by 10 is 1, making it 1x or x.
\(\frac{600}{10} = \frac{10x}{10}\)
\(60=x\)
That means the submarine is descending at a rate of 60 feet per minute, which can be represented as -60.
If you're looking for the submarine's position after one minute, all you have to do is subtract 60.
600 feet below surface is represented as -600.
\(-600-60=-660\)
The submarine's position after one minute is 660 feet below surface(-660).
Lines a, b, c, and d Intersect as shown.
124
95
42°
53
39°
95°
What is x ?
Answer:
95 is the answer I took the test
the table shows the maximum and minimum account balances for three college students for one month Giovanni claimed that he had the least variation from maximum to minimum in his account balance that month is he correct? write a mathematical argument to justify your solution
Yes, it should be that.Giovanni's account balance has the least variation from maximum to minimum that month.
How to illustrate the information?It should be noted that the formula for calculating the variation is;
Balance difference = Maximum balance - Minimum balance.
For Jordan;
Maximum balance = $145.
Minimum balance = $-25
Balance difference = 145 - (-25) = $170
For Giovanni;
Maximum balance = $168.
Minimum balance = $15.
Balance difference = 168 - 15 = $ 153.
For Elisa;
Maximum balance = $152.
Minimum balance = $-10
Balance difference = 152 -(-10) = $162.
Therefore, for the data it is clear that the minimum account variation is for Giovanni which is $153.
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The store bought a pair of shoes for $50 and sold them for $80. What percentage was the markup?
Answer: They resold them for $30 more than the original price.
Answer: 37.5%
Step-by-step explanation:
$80 - $50 = $30,
$30/$80 = 0.375 > 37.5%
What value of b will cause the system to have an infinite number of solutions? y=6x+b -3x+1/2v=-3
9514 1404 393
Answer:
-6
Step-by-step explanation:
Multiply the second equation by 2 and add 6x. You get ...
-6x +y = -6
y = 6x -6
This is the same as the first equation when b = -6. That is what you want if you want infinite solutions.
which one of the mappings is a function?
Answer:
the answer is x.
Step-by-step explanation:
the x values are only being used once, therefore, it is a function
Fill in the missing value for the coordinate pair that lies on the graph of the function. y=52 (2,
The missing value for the coordinate pair that lies on the graph of the function. y=5^x (2, 25)
How to determine the missing values?The equation of the function is given as:
y = 5^x
And the x value is given as
x = 2
To determine the missing value, we start by substituting 2 for x in the function y = 5^x
So, we have:
y = 5^2
Evaluate the exponent
y = 25
So, the complete coordinate is (2, 25)
Hence, the missing value for the coordinate pair that lies on the graph of the function. y=5^x (2, 25)
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I need help with #6!!
The probability of randomly drawing a 10 from the deck is:
P = 1/13
How to find the probability?We want to find the probability of randomly drawing a 10 from the deck.
Remember that there are 4 suits of 13 cards each, so thereare 52 cards in total and 4 of these cards are tens.
The probability of randomly drawing a 10 is equal to the quotient between the number of cards with a 10 on it (4 of these) and the total number of cards in the deck (52).
It is:
P = 4/52 = 1/13
That is the probability.
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A pair of parallel lines cut by a transversal as shown. Which of the following best represents the relationship between angles p and q?
A. p = 180 degrees - q
B. q = 180 degrees - p
C. p = 2q
D. p = q
Answer:
p=q is the right answer...
5. Write the quadratic equation in vertex form.
Vertex is (-4, 5) and point (-2, 9)
The quadratic equation in vertex form for the given vertex and point coordinates is given by \(y=x^{2} +4x+21\).
It is given to us that -
The vertex is (-4,5)
The point is (-2,9)
We have to write the quadratic equation in vertex form for the given vertex and point coordinates.
We know that the vertex form of a quadratic equation is represented as -
\(y = a(x-h)^{2}+k\) ------ (1)
where, (h, k) is the vertex
According to the given vertex coordinates,
h = -4 and k = 5
Putting these values of (h, k) in equation (1), we have
\(y = a(x-h)^{2}+k\\= > y = a[x-(-4)]^{2}+5\\= > y = a(x+4)^{2}+5\)------ (2)
Now, we will put the x and y coordinates of the point through which the quadratic equation is expected to pass.
It is given to us that -
The x coordinate of the point is -2
and, the y coordinate of the point is 9.
Putting these values of x and y coordinates of the given point in equation (2), we have
\(y = a(x+4)^{2}+5\\= > 9=a[(-2)+4]^{2}+5\\= > a*2^{2} +5=9\\= > 4a=4\\= > a=1\)
Now, substituting the value of a in equation (2), we have
\(y = a(x+4)^{2}+5\\= > y=1*(x+4)^{2}+5\\= > y=(x+4)^{2}+5\\= > y=x^{2} +4x+16+5\\= > y=x^{2} +4x+21\)
Thus, the quadratic equation in vertex form for the given vertex and point coordinates is given by \(y=x^{2} +4x+21\).
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5. Given the right triangle JKL, identify the locations of sides j, k, and I in relation to angle L
in terms of opposite, adjacent, and hypotenuse.
HELP
In relation to the angle L of the right triangle the sides are as follows:
l = opposite sidek = hypotenusej = adjacentHow to name the side of a right triangle?A right angle triangle is a triangle that has one of its angles as 90 degrees. The sides of a right angle triangle can be named according to the position of the angles in the right angle triangle.
The sides of a right triangle can also be solved by using Pythagoras's theorem or trigonometric ratios.
Let's identify the sides j, k, and I in relation to angle L in terms of opposite, adjacent, and hypotenuse.
Therefore,
l = opposite sidek = hypotenusej = adjacentThe hypotenuse side is the longest side of a right triangle.
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How many times larger is the value 250,000 then 250
Answer:
1,000 times larger.
Step-by-step explanation:
For these types of questions, simply divide the larger number by the smaller number. Like this:
250,000 ÷ 250 = 1,000
Hope this helps!
Please awnser asap I will brainlist
They can buy 120 vans, 60 small trucks, and 80 large trucks.
How to find the number of van, small trucks and large truck needed?The truck company plans to spend 10 million on 260 vehicles. Each commercial van cost 25,000 dollars. Each small truck 50,000 dollars and each large truck 50,000 dollars. They needed twice as many van as small truck
Therefore,
let
s = number of small truck
number of van = v
let
l = number of large truck
v + s + l = 260
25,000(v) + 50,000(s) + 50,000(l) = 10,000, 000
v + 2s + 2l = 400
Hence,
v = 2s
So,
2s + 2s + 2l = 400
4s + 2l = 400
2s + s + l = 260
3s + l = 260
2s + l = 200
s = 60
l = 200 - 2(60)
l = 200 - 120
l = 80
v = 2(600 = 120
Therefore, they can buy the following:
number of small truck = 60
number of van = 120
number of large truck = 80
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If you draw a card from a standard deck of 52 playing cards, what is the probability that it is a heart or a diamond?
Answer:
1/2
Step-by-step explanation:
In a deck of cards, there are 13 hearts and 13 diamonds
13+13 = 26 hearts or diamonds
P( hearts or diamonds) = numbers of hearts or diamonds / total
=26/52
= 1/2
Keisha, John, and Chris have a total of $99 in their wallets. Keisha has %7 less than John. Chris has 2 times what Keisha has. How much do they have in their wallets?
Answer:
99 yeah yeah
Step-by-step explanation:
okayyyyyyy
Type the correct answer in the box.Use numerals instead of words. If necessary, use / for the fraction bar.ΔABC is a right triangle in which ∠B is a right angle, AB = 1, AC = 2, and BC = .
cos C × sin A =
Answer:
3/4
Step-by-step explanation:
The value of cos C x sin A is 3/2.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
AB = 1
AC = 2
BC = √3
Now,
∠B = 90°
∠A = 60°
∠C = 180 - (90 + 60) = 180 - 150 = 30°
cos C = cos 30° = √3 / 2
sin A = sin 60° = √3/2
Now,
Cos C x Sin A
= √3/2 x √3 / 2
= 3/2
Thus,
The value is 3/2.
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What is the meaning of "the universal class V is a proper class"?
The statement "the universal class V is a proper class" means that class V, which represents the universal set that contains all sets, is not itself a set but rather a proper class.
We have,
In set theory, a proper class is a class that is not a set.
A class is a collection of objects, and a set is a class that can be a member of other classes.
On the other hand, a proper class cannot be a member of another class.
The statement "the universal class V is a proper class" means that class V, which represents the universal set that contains all sets, is not itself a set but rather a proper class.
This means that V cannot be an element of any other class or set within the context of the set theory being considered.
The concept of proper classes is used to prevent paradoxes and contradictions that can arise when unrestricted comprehension is allowed in set theory.
Thus,
The statement "the universal class V is a proper class" means that class V, which represents the universal set that contains all sets, is not itself a set but rather a proper class.
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Graph y less than or equal to 3x
Answer:
See Image Below.
Step-by-step explanation:
The Shaded region is the area of numbers that this equation satisfies.
Answer:
Please see attached image
Step-by-step explanation:
In order to graph the inequality, start from plotting the boundary line defined by the equality;
y = 3 x
You just need two points to accomplish such. so let's use two simple values for x and find what the y-values are:
for x = 0 then y = 3 (0) = 0
for x = 1 then y = 3 (1) = 3
Then use the points (0, 0) and (1, 3) to plot the boundary line.
After this, grab any point on the plane either clearly above the boundary line, or clearly below it and check if the inequality satisfies. For example, you can pick the point (3, 0) which is on the x line, 3 units to the right of the origin, and clearly below the boundary line we just plot.
When you use it in the inequality, you get:
(0) \(\leq\) 3 (3)
0 \(\leq\) 9
which is a true statement, therefore, the points below the boundary lie are also solutions of the inequality.
Then the solution consists of all the points in the boundary line we just plotted (and indicated by drawing a solid line), plus all the points below the line, as depicted in the attached image.
Will mark brainliest if correct
Answer:
\(mean = \frac{9 + 4 + 4 + 1 + 0 + 6 + 4}{7} = \frac{28}{7} = 4\)
\(mean \: deviation = \frac{ |9 - 4| + |4 - 4| + |4 - 4| + |1 - 4| + |0 - 4| + |6 - 4| + |4 - 4| }{7} = \frac{5 + 0 + 0 + 3 + 4 + 2 + 0}{7} = \frac{14}{2} = 7\)
(11x=28)
(7x-8)
Solve for x