Answer:
3.39
Step-by-step explanation:
In which quadrants is cosine positive?
A. I and II
B. I and III
C. II and IV
D. I and IV
D. I and IV are the quadrants the cosine function is positive
To determine in which quadrants the cosine function is positive, we need to consider the signs of cosine in different quadrants of the Cartesian coordinate system.
The unit circle is a useful tool to understand the behavior of trigonometric functions. In the unit circle, the x-coordinate represents the cosine value, while the y-coordinate represents the sine value. The cosine function is positive in the quadrants where the x-coordinate is positive.
Quadrant I is the top-right quadrant, where both the x and y coordinates are positive. In this quadrant, cosine is positive because the x-coordinate is positive.
Quadrant II is the top-left quadrant, where the x-coordinate is negative, but the y-coordinate is positive. In this quadrant, cosine is negative because the x-coordinate is negative.
Quadrant III is the bottom-left quadrant, where both the x and y coordinates are negative. In this quadrant, cosine is negative because the x-coordinate is negative.
Quadrant IV is the bottom-right quadrant, where the x-coordinate is positive, but the y-coordinate is negative. In this quadrant, cosine is positive because the x-coordinate is positive.
Based on this analysis, we can conclude that cosine is positive in Quadrant I and Quadrant IV. Therefore, the correct answer is D. I and IV.
It's important to note that this applies to the standard unit circle and the principal values of cosine. When considering periodicity and multiple revolutions around the unit circle, the positive regions of cosine will repeat every 360 degrees or 2π radians.
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Write the equation of the line that passes
through the point (2, -1) and has a slope of -3.
Answer:
The equation of the line that passes through the point (2, -1) and has a slope of -3 will be:
y = -3x + 5Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where
m is the slopeb is the y-interceptGiven
The point (2, -1)Slope m = -3substituting m = -3 and the point (2, -1) in the slope-intercept form of the line equation
y = mx+b
-1 = -3(2)+b
-1 = -6 + b
b = -1 + 6
b = 5
Thus, the y-intercept form of the line equation is b = 5
now substituting b = 5 and m = -3 in the slope-intercept form of the line equation
y = mx+b
y = -3x + 5
Thus, the equation of the line that passes through the point (2, -1) and has a slope of -3 will be:
y = -3x + 5
Solve both equations the lines are absolute value and please include detailed steps for each
I’ll report you if you don’t put a legit answer.
Answer:
see below
Step-by-step explanation:
|x+8| ≤ 4
Separate into two equations one positive and one negative , remembering to flip the inequality for the negative
x+8 ≤ 4 x+8 ≥ -4
Subtract 8 from each side
x+8 -8 ≤ 4-8 and x+8-8 ≥ -4-8
x ≤-4 and x ≥ -12
Writing as one function
-12 ≤x ≤-4
|x-8|+5 ≥ 11
Subtract 5 from each side
|x-8|+5-5 ≥ 11-5
|x-8| ≥ 6
Separate into two equations one positive and one negative , remembering to flip the inequality for the negative
x-8 ≥ 6 or x-8 ≤ -6
Add 8 to each side
x-8+8 ≥ 6+8 or x-8+8 ≤ -6+8
x ≥ 14 or x ≤ -2
Answers and Step-by-step explanations:
9. | x + 8 | ≤ 4
Remember that absolute value just denotes the distance between the argument within the absolute value signs and 0 on a number line. That means that if the item within the absolute value is negative, the absolute value of it will be the positive value because distance is always positive.
That means we have 2 cases here: x + 8 > 0 (positive) or x + 8 < 0 (negative).
Case 1: x + 8 > 0
x + 8 ≤ 4
x ≤ -4
Case 2: x + 8 < 0
-(x + 8) ≤ 4
-x - 8 ≤ 4
-x ≤ 12
x ≥ -12
Combining these two inequalities, we get:
-12 ≤ x ≤ -4
10. | x - 8 | + 5 ≥ 11
Let's isolate the absolute value expression by subtracting 5 from both sides: | x - 8 | ≥ 6
We again have two cases: x - 8 > 0 and x - 8 < 0.
Case 1: x - 8 > 0
x - 8 ≥ 6
x ≥ 14
Case 2: x - 8 < 0
-(x - 8) ≥ 6
-x + 8 ≥ 6
-x ≥ -2
x ≤ 2
Combining these two inequalities, we get:
x ≤ 2 and x ≥ 14
Order the numbers from least to greatest.
-3/4
0.5
2/3
-7/3
1.2
A shopkeeper buys 1 dozen of pens at Rs 15 each and sells them at Rs 18
ch. Find his profit and profit percent.
Answer:
20%
Step-by-step explanation:
Cost price (C. P.) of each pen = ₹ 15
Selling price (S. P.) of each pen = ₹ 18
Profit = S. P. - C. P. = 18 - 15 = ₹3
\(profit \: percent \\ \\ = \frac{profit}{c.p.} \times 100 \\ \\ = \frac{3}{15} \times 100 \\ \\ = \frac{3}{3} \times 20 \\ \\ = 20\%\)
Please help this question is asking about the volume of a hemisphere and cylinder?
Answer:
pppppppppppppppppppppppppppppppppppppppppp
Find the area of the regular pentagon with apothem 3.5 and side. Not drawn to scale.
100 POINTS
SHOW WORK PLEASE
Answer:
52.5 inch square
Step-by-step explanation:
Area of pentagon: A = 1/2 × p × a;
where 'p' is the perimeter of the pentagon and 'a' is the apothem of the pentagon.
A = 1/2 x (6 x 5) x 3.5 = 1/2 x 30 x 3.5 = 15 x 3.5 = 52.5
The area of the regular pentagon with apothem 3.5 and side 6 is 52.5
What is the area of the regular pentagon?In Mathematics, a pentagon is a polygon with 5 sides. A pentagon can be classified as a regular pentagon and irregular pentagon. When all the sides and the angles of a pentagon are of equal measure, then it is called a regular pentagon.
How to find the area of the regular pentagonGiven the question, we need to find the area of the regular pentagon with apothem 3.5 and side 6.
In order to find the area, the formula to calculate the area of the regular pentagon is given by:
\(\text{Area of pentagon} =\sf \huge \text(\dfrac{5}{2}\huge \text) \times s \times a\)
Where “s” is the side length. And “a” is the apothem length.Now,
\(\text{Area of pentagon} =\sf \huge \text(\dfrac{5}{2}\huge \text) \times s \times a\)
\(\text{Area of pentagon} =\sf \huge \text(\dfrac{5}{2}\huge \text) \times 6 \times 3.5\)
\(\text{Area of pentagon} =52.5\)
Therefore, the area of the regular pentagon with apothem 3.5 and side 6 is 52.5
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one card is drawn from a pack of 52cards each of the 52 cards being equally likely to be drawn. what is the probability that the card drawn is a king?
The probability of drawing a king from a standard deck of 52 cards is 1/13.
In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.
To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).
The total number of possible outcomes is 52 because there are 52 cards in the deck.
The favorable outcomes, in this case, are the four kings.
Therefore, the probability of drawing a king is given by:
Probability = (Number of favorable outcomes) / (Number of possible outcomes)
= 4 / 52
= 1 / 13
Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.
This means that out of every 13 cards drawn, on average, one of them will be a king.
It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.
Each draw is independent, and the probability of drawing a king is constant.
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length of a rectangle with a width of 10 and an area of 150 meters
We know that the area of a rectangle is given by the formula A = l × w, where A is the area, l is the length, and w is the width.
In this case, we are given that the width is 10 meters and the area is 150 square meters. So, we can plug in these values into the formula to find the length:
150 = l × 10
Dividing both sides by 10, we get:
15 = l
Therefore, the length of the rectangle is 15 meters.
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Reese read twice as many pages Saturday than she read Sunday. If she read a total of 78 pages over the weekend, how many pages did Reese read Sunday?
26 pages
38 pages
39 pages
52 pages
Answer:
26
Step-by-step explanation:
Answer:
A on edge
Step-by-step explanation:
I just took the test :3
what is the equation that best models the data from the table after the data has been linearized? a. log y = 0.116315x+0.249114
b. log y = 0.249114x+0.116315
c. log y = 0.0288761x+0.435269
d. log y = 0.435269x+0.0288761
Okay, let's analyze the linearized data options to determine which equation best models it:
a. log y = 0.116315x+0.249114
This has a positive slope coefficient of 0.116315, so it will model increasing data. But the y-intercept term 0.249114 is negative, so the model line would start below the origin. This does not seem to match the typical linear relationship we would expect.
b. log y = 0.249114x+0.116315
This also has a positive slope coefficient, but now the y-intercept term 0.116315 is positive. This could potentially model increasing data that starts above the origin. However, without seeing the data it's hard to definitively say if this is the best fit.
c. log y = 0.0288761x+0.435269
This has a positive but much smaller slope coefficient of 0.0288761. This would model increasing data at a much shallower rate. Again, without seeing the data we can't rule this out, but it seems less likely.
d. log y = 0.435269x+0.0288761
This has a larger positive slope coefficient of 0.435269, so it would model increasing data at a steeper rate. And the positive y-intercept term of 0.0288761 ensures the model line starts above the origin.
Of these 4 options, choice d (log y = 0.435269x+0.0288761) seems the most likely to best model increasing linear data that starts above the origin. However, without seeing the actual data points, we can't say that with certainty. The slope and intercept values would need to give the closest fit to the data for that to be the definitive choice.
Let me know if this helps explain the options, or if you have any other questions!
Solve the inequality 5x – 6 < 2 + (30 – 4). Express the solution as an inequality
Answer:
x < 6.8 or 34/5
Step-by-step explanation:
The parenthesis on the right side don't affect the inequality in any way so we can get rid of that.
5x – 6 < 2 + 30 – 4
Now we simplify the right side by combining like terms.
5x - 6 < 28
Our goal is to isolate x
Add 6 to both sides
5x < 34
Divide both sides by 5
x < 34/5
x < 6.8
find the value of x and the measure of MNW
Answer:
VALUE OF X:
3x-13+61 = 90
3x+48 = 90
3x = 42
x = 14
MEASURE OF <MNQ:
3x-13
= 3(14)-13
= 42-13
= 29
Between what two whole numbers does your answer lie in 30/8?
Answer:
3 and 4
Step-by-step explanation:
30/8=3.75
3.75 lies between 3 and 4
Hey there!
30/8
= 30 ÷ 2 / 8 ÷ 2
= 15 / 4
≈ 3 3/4
≈ 3.75
It falls in between three (3) and four (4). But, fun fact it rounds to up to four (4)
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
which number property is illustrated in the Identy ?
(1/2+1/3)+1/4 = 1/2 + (1/3+ 1/4
A) Associative
B) commutative
C) Distributive
D) Identity
PLEASE HELP
Solve the equation for y. Identify the slope and y-intercept then graph the equation.
-3y=3x-9
Y=
M=
B=
Please Include a picture of the graph and show your work if you can
9514 1404 393
Answer:
y = -x +3
m = -1
b = 3
Step-by-step explanation:
To solve the given equation for y, divide by the coefficient of y.
(-3y)/(-3) = (3x -9)/(-3)
y = -x +3
__
The slope is the x-coefficient, M = -1.
__
The y-intercept is the added constant, B = 3.
__
Both equations are graphed in the attachment. Texture has been added to the original so you can see the graphs are the same line.
help Jake is a bully. He likes to pick on little kids, but they don’t have a way to defend themselves. They complain to teachers about Jake and tells on him.
Answer:
cool
Step-by-step explanation:
Answer:
tells i think
Step-by-step explanation:
it would be tattling not telling..righttttt?????
Find the sum of the first 27 terms
of the arithmetic sequence.
First, fill in the equation.
a₁
= 5 and a27
Sn = 2/(a₁ + an)
Sn
=
[?]
2
+
=
83
Answer:
S₂₇ = 1188
Step-by-step explanation:
using the given formula for \(S_{n}\) , that is
\(S_{n}\) = \(\frac{n}{2}\) (a₁ + \(a_{n}\) )
with a₁ = 5 and \(a_{n}\) = a₂₇ = 83 , then
S₂₇ = \(\frac{27}{2}\) (5 + 83) = 13.5 × 88 = 1188
YO dudes pls answer number 12
Answer:
$6.98
Step-by-step explanation:
0.29x+1.23y=Total amount
x=pounds of potatoes
y=pounds of onions
Substitute:
0.29(3.7)+1.23(4.8)
Multiply:
1.073+5.904
Add:
6.977
Round:
6.98
Determine whether the system is consistent or inconsistent and whether the equations are dependent or independent.
-3x + 3y= 21
4x + 4y= 60
The given pair of linear equations is consistent.
What are Linear Equations?
An equation is said to be linear if the maximum power of the variable is consistent. Another name for it is a one-degree equation.
Equations are declarations of equality between two mathematical expressions containing one or more variables. A linear equation is one in which the maximum power of the variable is one. a real number equation of the form ax+by+c = 0, with real numbers a, b, and c with the highest power one variable x and y.
In our question, we can see:
a1 = -3 and a2 = 4
b1 = 3 and b2 = 4
c1 = 21 and c2 = 60
a1/a2 = -¾
b1/b2 = ¾
c1/c2 = 7/20
Since a1/a2 is not equal to b1/b2, therefore our pair of liner equation is consistent.
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The vertices of figure PQRS are translated to form figure P'Q'R'S'. Select all the statements that describe the two figures. Q S R P' S' Q' 'R
the anawer choices are : A. P Q R S is the preimage of PQRS, B. the two figures are congruent, C. the two figures are in different positions , but have the same orientation, D. the two figures are in different positions and have oppsoite orientation , E. corresponding angles and sides of the figures have the same measures.
The true statements are:
(B) Both figures are congurent.
(C) The two figures have the same orientation but different positions.
(E) Corresponding angles and sides have the same measures.
What is orientation?In geometry, how an item is positioned in the space it occupies—such as a line, plane, or rigid body—is described in terms of its orientation, angular position, attitude, bearing, and direction.
It refers more particularly to the fictitious rotation required to shift an object from a reference placement to its present location.
To get to the current positioning, a rotation might not be sufficient.
It could be required to include a fictitious translation known as the object's location (or position, or linear position).
Together, the position and orientation completely explain where the object is situated in space.
Therefore, the true statements are:
(B) Both figures are congurent.
(C) The two figures have the same orientation but different positions.
(E) Corresponding angles and sides have the same measures.
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8x=63-x what is the solution?
Answer:
X = 7. You can confirm the answer yourself by plugging in this number. I hope I helped :)
Step-by-step explanation:
Please mark as brainliest.A newsletter publisher believes that over 30% of their readers own a Rolls Royce. For marketing purposes, a potential advertiser wants to confirm this claim. After performing a test at the 0.05 level of significance, the advertiser failed to reject the null hypothesis.
The conclusion regarding the publisher's claim regarding the hypothesis is that have sufficient evidence to support the claim that the proportion is less than 30% of their readers own a Rolls Royce.
What is a null hypothesis?The null hypothesis is a statistical theory that suggests that no statistical relationship and significance exists in a set of given single observed variable, between two sets of observed data and measured phenomena.
Since we reject the null hypothesis , we have sufficient evidence to support the claim. In this case, we have sufficient evidence to support the claim that the proportion is less than 30% of their readers own a Rolls Royce.
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Complete question:
A newsletter publisher believes that less than 30% of their readers own a Rolls Royce. For marketing purposes, a potential advertiser wants to confirm this claim. After performing a test at the 0.02 level of significance, the advertiser decides to reject the null hypothesis. What is the conclusion regarding the publisher's claim?
(a) The number of terms in an arithmetic progression is 40 and the last is -54. Given that the sum of the 15 terms added to the sum of the first 30 terms is zero. Calculate (1) The first term and common difference, (ii) the sum of the progression.
(i) The first term (a) is 24 and the common difference (d) is -2.
(ii) The sum of the progression is 2520.
i) Finding the first term and common difference:
Given that the number of terms in the arithmetic progression is 40 and the last term is -54, we can use the formula for the nth term of an arithmetic progression to find the first term (a) and the common difference (d).
The nth term formula is: An = a + (n-1)d
Using the given information, we can substitute the values:
-54 = a + (40-1)d
-54 = a + 39d
We also know that the sum of the first 15 terms added to the sum of the first 30 terms is zero:
S15 + S30 = 0
The sum of the first n terms of an arithmetic progression can be calculated using the formula:
Sn = (n/2)(2a + (n-1)d)
Substituting the values for S15 and S30:
[(15/2)(2a + (15-1)d)] + [(30/2)(2a + (30-1)d)] = 0
Simplifying the equation:
15(2a + 14d) + 30(2a + 29d) = 0
30a + 210d + 60a + 870d = 0
90a + 1080d = 0
a + 12d = 0
a = -12d
Substituting this value into the equation -54 = a + 39d:
-54 = -12d + 39d
-54 = 27d
d = -2
Now we can find the value of a by substituting d = -2 into the equation a = -12d:
a = -12(-2)
a = 24
Therefore, the first term (a) is 24 and the common difference (d) is -2.
ii) Finding the sum of the progression:
The sum of the first n terms of an arithmetic progression can be calculated using the formula:
Sn = (n/2)(2a + (n-1)d)
Substituting the values:
S40 = (40/2)(2(24) + (40-1)(-2))
S40 = 20(48 - 39(-2))
S40 = 20(48 + 78)
S40 = 20(126)
S40 = 2520
Therefore, the sum of the arithmetic progression is 2520.
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What is 4 1/2 pint to quart?
There are two pints every quarter.
So let's convert pints to quarter
\(\frac{4\frac{1}{2} }{2} =\frac{\frac{9}{2} }{2} = \frac{9}{4}\)
There 4 1/2 pint is to 9/4 quarter.
Hope that helps!
p.s. look at my diagram to help you remember
The Brady & Matthew Camera Company has just come out with their newest professional quality digital camera
The Brady & Matthew Camera Company has recently introduced its latest high-quality digital camera designed for professional use.
1. The Brady & Matthew Camera Company: The company known as Brady & Matthew Camera is the manufacturer of the newly released digital camera.
2. Newest professional quality digital camera: The recently launched camera by Brady & Matthew Camera Company is their latest product in their lineup of professional-grade digital cameras.
3. Features: The new camera is equipped with advanced features that cater to the needs of professional photographers, such as high-resolution image sensors, a wide range of ISO sensitivity, and customizable shooting modes.
4. Image Quality: The camera is designed to deliver exceptional image quality with sharp details, accurate colors, and low noise, ensuring professional-grade results.
5. Durability: The camera is built to withstand the rigors of professional use, featuring a robust body construction and weather sealing to protect against dust and moisture.
6. Ergonomics: Brady & Matthew Camera Company has paid attention to ergonomic design, ensuring that the camera is comfortable to hold and operate for extended periods.
7. Connectivity: The camera is equipped with various connectivity options, including Wi-Fi and Bluetooth, allowing photographers to transfer images wirelessly and control the camera remotely.
8. Accessories: Brady & Matthew Camera Company offers a range of compatible accessories for their new camera, including lenses, external flashes, and battery grips, expanding the capabilities of the camera system.
9. Market Availability: The new professional-quality digital camera by Brady & Matthew Camera Company is now available for purchase from authorized retailers and their official website.
10. Customer Support: The company provides reliable customer support services, including warranty coverage, technical assistance, and firmware updates to ensure a satisfying user experience.
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Britzy has $50 and wants to buy a new pair of basketball shoes.The shoes cost $45 and have 6% tax.Does britzy have enough money?
which of the following is the equation that represents the function given in the table
To determine which of the given equations represents the function given in the table, let us analyze each of them.
The first two equations do bring not integer numbers in such a way that, if we substitute any of the x values given, we will find a y value which is not an integer. This means that both are not the ones we are looking for.
Now, to determine if the third or the fourth is the one, let us substitute one of the x values on it, and if the y value matches, it means that it might be correct.
Checking the fourth, let's use the values:
\(\begin{gathered} x=-2 \\ y=16 \end{gathered}\)Substituting the value of x in the equation of the fourth option, we have:
\(\begin{gathered} y=6\times(-2)-5 \\ y=-12-5 \\ y=-17 \end{gathered}\)Because the y value found was not the one given, the option is wrong!
Let's check the third option with the same values of x and y:
\(\begin{gathered} y=-5\times(-2)+6 \\ y=10+6 \\ y=16 \end{gathered}\)It matches. This substitution alone does not assure this is the right answer, but once it can not be anyone of the other three, and once we expect that one of the four is the function, this match becomes enough for our final answer:
C) y = -5x + 6
Use the graph of the logarithmic function f(x) to answer the question.
What is the x- intercept?
Answer:
(0,-2)
Step-by-step explanation:
Cinderella decides that her goal will be to sell 1 candy bar on the first day 3 candy bars on the second day, 9 the third day, and so on. Aurora decides that she will sell 75 candy bars on the first day, 85 the next day, 95 the following day, and so on. a. Write two equations to represent the number of candy bars Cinderella and Aurora sell. b. Which equation is linear and which is exponential? How can you tell? c. Who will sell more candy bars on the 8th day?
Answer & Step-by-step explanation:
a) For Cinderella's equation, we will write it as 3^(x-1) (x being the day)
For Aurora's equation, we will write it as 65+10n (x being the day)
b) Since Aurora's number only increases by 10 a day, that equation is linear. Since Cinderella's number increases by a greater amount everyday and has an exponent, her equation is exponential.
c) Plugging in 8 for x in each equation, we get
2178 for Cinderella and
145 for Aurora
Meaning that Cinderella will sell far more on the 8th day.