50PTS Consider this equation .sin(0) = 4 If is an angle in quadrant II, what is the value of ? A. B. C. D.
Answers
Answer:
A.
\( - \frac{ \sqrt{377} }{29} \)
Related Questions
For how many integer values of g is 6<3g <127
Answers
The integer values of g in 6<3g<127 is from 2 to 42.33.
Given that the inequality showing the variable g be 6<3g<127.
We are required to find the values of g.
Inequality is like an equation which shows the relationship between variables expressed in greater than,less than, greater than or equal sign, less than or equal to sign. It shows the range of the variables.
The inequality is 6<3g<127.
We have to divide both the sides by 3 because in the middle 3 is multiplied by 3.
6/3<g<127/3
2<g<42.33
Hence the integer values of g in 6<3g<127 is from 2 to 42.33.
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3 2/5 divided by 1 1/5 pleaseeee help its due on may 24
Answers
Answer:
2.83333333333
Step-by-step explanation:
(3 2/5) / (1 1/5) = 2.83333333333
Answer:
85/30 or 2.833333333
Step-by-step explanation:
When dividing fractions, you must find the reciprocal of the second number and multiply it as usual.
It is also much easier to solve after you convert these numbers to improper fractions.
In this case,
3 2/5 = 17/5
1 1/5 = 6/5
17/5 ÷ 6/5
17/5 x 5/6
85/30 (17/6 reduced)
or
2.83333333333333333333
Find the correct trig ratio given for the triangle below: A 5 13 B 12 C sinA = COSA =
Answers
For angle A, perpendicular side is BC = 12, hypotenuse side is AC = 13 and base side is AB = 5.
Determine the trigonometric corresponding to angle A.
\(\begin{gathered} \sin A=\frac{BC}{AC} \\ =\frac{12}{13} \end{gathered}\)\(\cos A=\frac{5}{13}\)\(\tan A=\frac{12}{5}\)For angle C, perpendicular side is AB = 5, base is BC = 12 and hypotenuse is AC =13.
Determine the trigonometric ratio corresponding to angle C.
\(\begin{gathered} \sin C=\frac{AB}{AC} \\ =\frac{5}{13} \end{gathered}\)\(\begin{gathered} \cos C=\frac{BC}{AC} \\ =\frac{12}{13} \end{gathered}\)\(\begin{gathered} \tan C=\frac{AB}{BC} \\ =\frac{5}{12} \end{gathered}\)Find the area of the following figure:
Answers
Answer:
A = 178 cm^2
Step-by-step explanation:
Split the figure into a trapezoid and a rectangle
Area of trapezoid:
A = ((a+b)/2)*h
A = ((14+8)/2)*10
A = 150
Area of rectangle:
A = w*h
A = 2*14
A = 28
150+28
A = 178 cm^2
5. Please write your answer in the place provided.
The North Shore News charges $25.50 for a two-line automotive
ad. Each
additional line costs $7. How much does a six-line ad cost?
Answers
Answer:
$53.50. Hope this helps ;) don't forget to rate this answer !
Step-by-step explanation:
The cost of a two-line ad is $25.50.
The cost of each additional line is $7.
The number of additional lines in a six-line ad is 6 - 2 = 4.
The total cost of a six-line ad is the cost of a two-line ad plus the cost of the additional lines:
total cost = $25.50 + 4 * $7 = $25.50 + $28 = $53.50
So a six-line ad costs $53.50.
Triangle Congruence Worksheet #2
For each pair of triangles, tell which postulate, if any, can be used to prove the triangles congruent.
Answers
Answer: BAUKAA
Step-by-step explanation:
Ok
Drag the prisms to the table in order from least volume to greatest volume.
Answers
Fourth prism, first prism, second prism and fourth prism is order from least volume to greatest.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
The volume of first prism with sides 2, 1.5 and 3.2
Volume=2×1.5×3.2
=9.6 in³
The volume of second prism with sides 1.5, 1.5 and 6
Volume=1.5×1.5×6
=13.5 in³
The volume of third prism with sides 2, 5/2 and 7/2
Volume=2×2.5×3.5
=17.5 in³
The volume of fourth prism with sides 1/2, 1/2 and 1/2
Volume=0.5×0.5×0.5
=0.125 in³
Hence fourth prism, first prism, second prism and fourth prism is order from least volume to greatest.
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The graph shows the distribution of the number of text messages young adults send per day. The distribution is approximately Normal, with a mean of 128 messages and a standard deviation of 30 messages.
A graph titled daily text messaging has number of text on the x-axis, going from 8 to 248 in increments of 30. Data is distributed normally. The highest point of the curve is at 128.
What percentage of young adults send between 68 and 158 text messages per day?
34%
47.5%
81.5%
95%
Answers
This value is approximate.
====================================================
Explanation:
We have a normal distribution with these parameters
mu = 128 = population meansigma = 30 = population standard deviationThe goal is to find the area under the curve from x = 68 to x = 158, where x is the number of text messages sent per day. So effectively, we want to find P(68 < x < 158).
Let's convert the score x = 68 to its corresponding z score
z = (x-mu)/sigma
z = (68-128)/30
z = -60/30
z = -2
This tells us that the score x = 68 is exactly two standard deviations below the mean mu = 128.
Repeat for x = 158
z = (x-mu)/sigma
z = (158-128)/30
z = 30/30
z = 1
This value is exactly one standard deviation above the mean
-------------------------------------------
The problem of finding P(68 < x < 158) can be rephrased into P(-2 < z < 1)
We do this because we can then use the Empirical rule as shown in the diagram below.
We'll focus on the regions between z = -2 and z = 1. This consists of the blue 13.5% on the left, and the two pink 34% portions. So we will say 13.5% + 34% + 34% = 81.5%
Approximately 81.5% of the the population sends between 68 and 158 text messages per day. This value is approximate because the percentages listed in the Empirical rule below are approximate.
Answer:
C. 81.5%
Step-by-step explanation:
Solve the system using substitution.
X + 5y = 0
3y + 2x = -21
([?], 1)
Answers
Answer:
(-15, 3)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
x + 5y = 0
3y + 2x = -21
Step 2: Rewrite Systems
x + 5y = 0
Subtract 5y on both sides: x = -5yStep 3: Redefine Systems
x = -5y
3y + 2x = -21
Step 4: Solve for y
Substitution
Substitute in x: 3y + 2(-5y) = -21Multiply: 3y - 10y = -21Combine like terms: -7y = -21Isolate y: y = 3Step 5: Solve for x
Define equation: x + 5y = 0Substitute in y: x + 5(3) = 0Multiply: x + 15 = 0Isolate x: x = -15Please i need help due in 25 minutess
Answers
The evaluation of the two more bids Bruno received, and the equations, table and graph obtained from the bids are as follows;
The variables used for the bids are;x = The number of books
y = The total charge based on the pricing
The equations are;
Bid 7: y = 15·x + 3
Bid 8: y = 10·x + 40
Please find the completed table in the following explanation part
Part B;
Please find attached the graph of the two equations, created with MS Excel
What is an equation?An equation is a mathematical statement indicating that the quantity, magnitude or values of two expressions are the same.
The amount Bid 7 charges per book = $15
Amount paid upfront for Bid 7 = $5
Amount Bid 8 charges upfront = $40
Amount Bid 8 charges per book = $10
The variables are;
x = The amount charged per booky = The total amount paidThe equations are;
Bid 7: y = 15·x + 5Bid 8: y = 10·x + 40The table of values can be presented as follows;
Bid 7 \({}\) Bid 8
x \({}\) y = 15·x + 5 y = 10·x + 40
0 \({}\) 5 \({}\) 40
3 \({}\) 50 \({}\) 70
5 \({}\) 80 \({}\) 90
7 \({}\) 110 \({}\) 110
10 \({}\) 155 \({}\) 140
Part B;
Please find attached the required graph of the two equations, showing the legend and the scale for the x and y axis created with MS Excel.
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How many ways can you build a rectangle in order to produce a surface area of 12 square inches? *
one way
two ways
eight ways
six ways
four ways
Answers
Answer:
Six ways
Step-by-step explanation:
To find the number of ways you can build a rectangle to produce a surface area of 12 square inches, we need to consider all the possible combinations of dimensions that can result in an area of 12 square inches.
The surface area of a rectangle is given by the formula:
=> Area = length x width
In this case, the area is 12 square inches. We can express this mathematically as:
=> 12 = length x width
We need to find all the pairs of positive whole numbers (length and width) that, when multiplied together, give us a product of 12.
Let's list all the possible combinations:
1 x 12 = 122 x 6 = 123 x 4 = 124 x 3 = 126 x 2 = 1212 x 1 = 12So, there are six different ways you can build a rectangle to produce a surface area of 12 square inches.
Judith randomly selected 20% of the
seventh-grade students in her school
and asked them their favorite genre of
music. Of these students surveyed 41
chose pop music as the favorite music
genre. Based on the data, what is the
most reasonable prediction of the
number of seventh-grade students in
her school who would choose pop
music as their favorite genre?
Group of answer choices
60
80
200
160
Answers
Answer:
200
Step-by-step explanation:
41 x 5 = 205
20% x 5 = 100%
Arianna saw 10 blue, 8 red, and 42 white cars drive by her house in 1 hour. What is the experimental probability of her seeing a white car?
Answers
number of blue car = 10
number of red car = 8
number of white car = 42
The experimental probability of seeing a white car can be calculated below
\(p(w)=\frac{\text{ number of white car}}{\text{total number of car }}=\frac{42}{10+8+42}=\frac{42}{60}=\frac{21}{30}=\frac{7}{10}\)why universal class includes proper class (a class that is not a set)?
Answers
The universal class is considered a proper class because it contains all sets but cannot itself be treated as a set due to the limitations imposed by set theory. Recognizing it as a proper class ensures the consistency and avoids the paradoxes that would arise if it were treated as a set.
In set theory, classes are collections of objects that share a common property or satisfy a specific condition. A proper class is a class that is not a set, meaning it cannot be treated as an object within the theory of sets. One example of a proper class is the universal class, denoted as "V" in Von Neumann–Bernays–Gödel set theory (NBG) or "U" in Morse–Kelley set theory (MK).
The universal class is defined as the class that contains all sets. It encompasses every possible set that can be constructed within the theory of sets. It is important to note that the universal class itself is not considered a set because it would lead to logical inconsistencies and paradoxes, such as Russell's paradox.
To understand why the universal class is considered a proper class, we need to delve into the foundations of set theory. In most set theories, including Zermelo-Fraenkel set theory (ZF), which is the most commonly used, there is a principle called the limitation of size. This principle ensures that only sets of a certain size can be considered objects within the theory.
The limitation of size prevents the universal class from being considered a set because it would violate the size restrictions. If the universal class were a set, it would contain itself as an element, leading to the well-known Russell's paradox. Russell's paradox arises from the assumption that there exists a set of all sets that do not contain themselves as elements. If the universal class were a set, it would both contain and not contain itself, creating a contradiction.
To avoid such paradoxes and maintain consistency within set theory, the universal class is treated as a proper class. This means that it is not regarded as an object that can be manipulated or operated upon like a set. Instead, it serves as a collection that encompasses all sets, acting as a foundational concept within set theory.
In summary, the universal class is considered a proper class because it contains all sets but cannot itself be treated as a set due to the limitations imposed by set theory. Recognizing it as a proper class ensures the consistency and avoids the paradoxes that would arise if it were treated as a set.
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Allie had four and three-fourths tubes of purple paint. She used two and one-fourth tubes. Later, she found three and three-eighths more tubes. How many tubes of purple paint does she have now?
five and thirteen over twenty-four tubes
five and nine over twenty-four tubes
five and seven over eight tubes
five and one over eight tubes
Answers
By subtracting and adding mixed numbers, we can see that at the end she has (5 + 7/8) tubes of paint.
How many tubes of purple paint does she have now?We know that initially Allie had (4 + 3/4) tubes of purple paint, and she sed (2+ 1/4) tubes.
So at this point we need to take the difference between the two mixed numbers, we will get:
(4 + 3/4) - (2 + 1/4) = (4 - 2) + (3/4 - 1/4)
(4 - 2) + (3/4 - 1/4) = 2 + 2/4
2 + 2/4 = 2 + 1/2
Then she founds (3 + 3/8) more. Now we need to add that:
2 + 1/2 + (3 + 3/8) = (2 + 3) + (1/2 + 3/8)
(2 + 3) + (1/2 + 3/8) = 5 + (4/8 + 3/8)
5 + (4/8 + 3/8) = 5 + 7/8
She has 5 + 7/8 tubes of purple paint.
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What is the value of u?
Answers
I need help please anyone ?????!!!
Answers
Answer:
3) No solution
4) No solution
Step-by-step explanation:
3) The equation simplifies to ...
5x +15 = 5x +3
15 = 3 . . . . . . . . . . subtract 5x; no value of x will make this true
There is no solution.
__
4) The equation simplifies to ...
4 = -5 . . . . . . . . . subtract y; no value of y will make this true
There is no solution.
Answer:
Step-by-step explanation:
There are 10 brown, 10 black, 10 green, and 10 gold marbles in bag. A student pulled a marble, recorded the color, and placed the marble back in the bag. The table below lists the frequency of each color pulled during the experiment after 40 trials..
Outcome Frequency
Brown 13
Black 9
Green 7
Gold 11
Compare the theoretical probability and experimental probability of pulling a brown marble from the bag.
The theoretical probability, P(brown), is 50%, and the experimental probability is 25%.
The theoretical probability, P(brown), is 50%, and the experimental probability is 22.5%.
The theoretical probability, P(brown), is 25%, and the experimental probability is 13.0%.
The theoretical probability, P(brown), is 25%, and the experimental probability is 32.5%.
Answers
The theoretical probability, P(brown), is 25%, and the experimental probability is 32.5%.
In this question, we have been given there are 10 brown, 10 black, 10 green, and 10 gold marbles in bag.
The theoretical probability of pulling a brown marble from the bag would be,
P = 10/40
P = 0.25
P = 25%
A student pulled a marble, recorded the color, and placed the marble back in the bag.
The frequency of each color pulled during the experiment after 40 trials is:
Brown 13
Black 9
Green 7
Gold 11
So, the experimental probability of pulling a brown marble from the bag would be,
P = 13/40
P = 0.325
P = 32.5 %
Therefore, the theoretical probability, P(brown), is 25%, and the experimental probability is 32.5%.
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Answer: The theoretical probability, P(brown), is 25%, and the experimental probability is 32.5%.
Step-by-step explanation: :)
URGENT PLEASE
One number is 5 more than two times the other. Their sum is 11.
Answers
Answer:
the numbers are 8 and 3.
What is the value of 4(x - 2)(x + 3) + 7(x - 2)(x - 5) - 6(x - 3)(x - 5) when x = 5?
Answers
Answer:
96
Step-by-step explanation
4(x - 2)(x + 3) + 7(x - 2)(x - 5) - 6(x - 3)(x - 5)
4(5 - 2)(5 + 3) = 12(8) = 96
7(5 - 2)(5 - 5) = 0
- 6(5 - 3)(5 - 5)= 0
96+0-0 = 96
a storage container holding 1600cubic feet of rice is 8 feet deep x 10 feet wide. How long in feet is the storage container?
Answers
Answer:
20 feet.
Step-by-step explanation:
The container is assumed to be a rectangular prism.
The volume would be length × width × height.
l × 10 × 8 = 1600
l × 80 = 1600
l = 1600/80
l = 20
The storage container is 20 feet long.
The length of the storage container is 20 feet long.
What is the volume of cuboid? What is a mathematical function, equation and expression? The volume of cuboid is given by → V{C} = L x B x H function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that a storage container holding 1600 cubic feet of rice is 8 feet deep x 10 feet wide.
The volume of cuboid is given by -
V{C} = L x B x H
So, we can write -
1600 = L x 8 x 10
80L = 1600
L = 20 feet
Therefore, the length of the storage container is 20 feet long.
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How would you explain the relationship between the real zero(s) of the function and x-intercept(s) of the graph? O O O Since the graph crosses the x-axis at x = -2, the function has a real zero of x = -2. Since the graph never crosses the x-axis, the function has no real zeros. Since the graph eventually crosses the x- axis, the function has a real zero. Since the graph crosses the y-axis at 9, the function results in a real zero of x = 9 ?.
Answers
Since the graph never crosses the x-axis, the function has no real zeros
How to explain the relationship between the zero and x-interceptFrom the question, we have the following parameters that can be used in our computation:
The graph (see attachment)
From the graph, we can see that the graph does not cross the x-axis at any point
This means that the graph has no real zero
Hence, the relationship between the zero and x-intercept is (b)
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Find a vector equation and parametric equations for the line The line through the point (2, 2.4, 3.5) and parallel to the vector 3i 1 2j 2 k
Answers
Answer:
The vector equation
\(r = (2 + 3t)i+ (2.4 + 2t)j+ (3.5 - t)k\)
The parametric equation
\(x = 2 + 3t\\y = 2.4 + 2t\\z = 3.5-t\)
Step-by-step explanation:
Given
\(Point = (2,2.4,3.5)\)
\(Vector = 3i + 2j - k\)
Required
The vector equation
First, we calculate the position vector of the point.
This is represented as:
\(r_0 = 2i + 2.4j + 3.5k\)
The vector equation is then calculated as:
\(r = r_o + t * Vector\)
\(r = 2i + 2.4j + 3.5k + t * (3i + 2j - k)\)
Open bracket
\(r = 2i + 2.4j + 3.5k + 3ti + 2tj - tk\)
Collect like terms
\(r = 2i + 3ti+ 2.4j + 2tj+ 3.5k - tk\)
Factorize
\(r = (2 + 3t)i+ (2.4 + 2t)j+ (3.5 - t)k\)
The parametric equation is represented as:
\(x = x_0 + at\\y = y_0 + bt\\z = z_0 + ct\)
Where
\(r = (x_0 + at)i +(y_0 + bt)j+(z_0 + ct)k\)
By comparison:
\(x = 2 + 3t\\y = 2.4 + 2t\\z = 3.5-t\)
A bookcase measures 13 feet wide and 24 feet tall. What would the bookcase's measurements be on a scale drawing using the scale 3 cm:2 ft?
Answers
Answer:
Step-by-step explanation:
Find out what 1 Foot per centimeter is (1.5 centimeters per foot)Multiply 13 by 1.5 to find one side and 24 by 1.5 to find the other side.
1 inch x 3/4 inch x 1/2 inch
Answers
Answer:
3/8
Step-by-step explanation:
Greg received 3/8 of the 160 votes cast for class secretary. How many votes did he recevive? Write your answer in simplest form.
Answers
Answer:
60
Step-by-step explanation:
a) Work out the percentage population increase from 2001 to 2011.
Give your answer to 1 decimal place.
Answers
The percentage population increase from 2001 to 2011 is 50%.
To calculate the percentage population increase from 2001 to 2011, you need the population figures for both years. Let's assume the population in 2001 was 100,000 and in 2011 it was 150,000.
The formula to calculate the percentage increase is:
Percentage Increase = ((New Value - Old Value) / Old Value) * 100
Plugging in the values:
Percentage Increase = ((150,000 - 100,000) / 100,000) * 100 = (50,000 / 100,000) * 100 = 0.5 * 100 = 50%
Therefore, the percentage population increase from 2001 to 2011 is 50%.
Please note that the actual population figures for the respective years need to be used in the calculation to obtain an accurate result. The example above is for illustrative purposes.
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1
A red die is tossed and then a green. die is tossed.
What is the probability that the red die shows a
number larger than 4 or the green die shows a
number less than 2?
The two events are not mutually exclusive. So to find the
probability of the union, use:
P(A or B) = P(A) + P(B) - P(A and B)
[?]
P(A or B)
=
8
P(B)
Green die
What is the probability of the red die rolling a
P(A)
Red die
+
-
8)
P(B)
P(A)
Red die Green die
number greater than 4?
Enter your answer in simplest form.
Enter
Answers
On solving the provided question, we can say that the probability of the red die rolling is 16.67% probability = 0.1667
What is probability?A branch of mathematics called probability theory determines the chance that an event will occur or that a statement is true. A probability is a number between 0 and 1, where 1 denotes certainty and about 0 denotes how probable an event is to occur. The possibility or likelihood that a specific event will occur is expressed numerically as a probability. Probabilities can also be expressed as percentages from 0% to 100% or as numbers between 0 and 1. the proportion of occurrences among all equally likely alternatives that lead to a certain event relative to all possible outcomes.
red die, there are 3 numbers greater than 3 out of 6 numbers
Probability (A) = 3/6 = 1/2.
green die, there are 2 numbers less than 3 out of 6 numbers
Probability (B) = 2/6 = 1/3.
events are independent
P(A and B) = \(P(A)P(B) = 1/2 X 1/3 = 1/6 = 0.1667\)\(P(A)P(B) = 1/2 X 1/3 = 1/6 = 0.1667.\)
16.67% probability = 0.1667
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In the real world, functions are mathematical representations of input-output situations. A vending machine is one such example. The input is the money combined with the selected button. The output is the product.
Here is another example: The formula for converting a temperature from Fahrenheit to Celsius is a function expressed as:
C = (5/9)*(F - 32), where F is the Fahrenheit temperature and C is the Celsius temperature.
If it is 77 degrees Fahrenheit in Phoenix Arizona, then what is the equivalent temperature on the Celsius thermometer?
Our input is 77.
C = (5/9)*(77 - 32)
C = (5/9)*(45)
C = 25
The equivalent temperature is 25 degrees Celsius.
To complete the Discussion activity, please do the following:
Choose your own function or choose from the list below and then provide a unique example of a function and evaluate the function for a specific input (like the example above).
Arm length is a function of height.
The circumference of a circle is a function of diameter.
The height of a tree is a function of its age.
The length of person's shadow on the ground is a function of his or her height.
Weekly salary is a function of the hourly pay rate and the number of hours worked.
Compound interest is a function of initial investment, interest rate, and time.
Supply and demand: As price goes up, demand goes down.
Answers
The correct answer is John's weekly salary is $240 based on his hourly pay rate and the number of hours worked.
Let's choose the function "Weekly salary is a function of the hourly pay rate and the number of hours worked."Example: John works as a part-time employee at a grocery store. His hourly pay rate is $12, and he worked for 20 hours in a week. We can evaluate the function to find his weekly salary.
Weekly salary = Hourly pay rate * Number of hours worked
Weekly salary = $12/hour * 20 hours
Weekly salary = $240
So, John's weekly salary is $240 based on his hourly pay rate and the number of hours worked.
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Claim: Most adults would erase all of their personal information online if they could. A software firm survey of 526
randomly selected adults showed that 61% of them would erase all of their personal information online if they could. Find
the value of the test statistic.
The value of the test statistic is
(Round to two decimal places as needed.)
Answers
The value of the test statistic rounded to two decimal places is equal to 5.05.
What is a sample proportion?In Mathematics, a sample proportion can be defined as the proportion of individuals in a sample that have a specified characteristic or trait.
For a claim that most adults would erase all of their personal information online if they could, the appropriate null hypothesis and alternative hypothesis would be given by this mathematical expression:
H₀: p ≤ 0.5.
Ha: p > 0.5.
How to calculate the value of the test statistic?Mathematically, the test statistic for the z-test of a population proportion can be calculated by using this mathematical expression;
\(z=\frac{\hat{p} \;- p}{\sqrt{\frac{p(1\;-p)}{n } } }\)
Where:
z represents the test statistic.p^ represents the sample proportion.n represents the sample size.p represents the population proportion.Substituting the given parameters into the formula, we have;
z = (0.61 - 0.5)/√(0.5(1 - 0.5)/526)
z = (0.11)/√(0.5(0.5)/526)
z = (0.11)/√(0.25/526)
z = 0.11/0.0218
z = 5.05.
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