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Sketch the graph for y=cot ^-1 (cot x)
Answers
Answer:
[tex]\sf y=cot^{-1}(cot(x))[/tex]
[tex]\sf \implies cot(y)=cot(x)[/tex]
[tex]\sf \implies \dfrac{1}{tan(y)}=\dfrac{1}{tan(x)}[/tex]
[tex]\sf \implies tan(x)=tan(y)[/tex]
[tex]\sf \implies y=x[/tex]
[tex]\sf \implies y=x\pm\pi n[/tex]
Related Questions
Which inequality has the graph shown below?
Answers
Answer:
Its A.
Step-by-step explanation:
Here is the graph for A
Which of the triangles shown are scalene triangles?
A group of triangles. Triangle A has three acute angles and two equal sides. Triangle B has two acute angles, one ninety degree angle, and two equal sides. Triangle C has three acute angles and two equal sides. Triangle D has two acute angles and one obtuse angle. All the sides on this triangle are different lengths.
Answers
The triangle that shows a scalene triangle is: D. a triangle where all the sides on it are different lengths.
What is a Scalene Triangle?A scalene triangle is a triangle whose three angles are unequal and also has three unequal sides.
This means that any two sides or two angles of a scalene triangle must not be equal.
Thus, the triangle that shows a scalene triangle is: D. a triangle where all the sides on it are different lengths.
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One sample has ss = 60 and a second sample has ss = 48.
if n = 7 for both samples, find each of the sample variances, and calculate the pooled variance. because the samples are the same size, you should find that the pooled variance is exactly halfway between the two sample variances
Answers
The pooled variance of the samples estimates the weighted variance of the samples
The pooled variance is 2952
How to calculate the pooled variance?The given parameters are:
Sample 1:n = 7
ss = 60
Sample 2:n = 7
ss = 48
The pooled variance is calculated using:
Sp = [SS1^2 *(n1 - 1) + SS2^2 *(n2 - 1)]/[(n1 - 1) + (n2 - 1)]
So, we have:
Sp = [60^2 *(7 - 1) + 48^2 *(7 - 1)]/[(7 - 1) + (7 - 1)]
Evaluate the expression
Sp = 2952
Hence, the pooled variance is 2952
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Which expressions are equivalent to the one below? Check all that apply. 3^4 * 3^x
A. 3^4 -x
B. 9^4x
C. 81*3^x
D. (3*x)^4
E. 3^4x
F. 3^4+x
Answers
Answer:
F, 3^4+x
Step-by-step explanation:
You just have to add the powers together but not the actual base, you keep it as it is
What is the surface area of this triangular pyramid?
Answers
Area of one face = 1/2 x base x height = 1/2 x 5 x 3 = 7.5 square inches.
there are 3 of those faces : 7.5 x 3 = 22.5 square inches.
the bottom triangle = 1/2 x 5 x 4.3 = 10.75 square inches
total surface area = 22.5 + 10.75 = 33.25 square inches
There is a bag filled with 3 blue, 4 red and 5 green marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 1 blues?
Answers
Answer:
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
As you can see, there are 3 blue marbles, and the amount in total is 12, so the answer is 3/12. 3/12 simplified is 1/4.
Hope This Helps! :) Please give brainliest if you can!
Please help with my homework. I will give a brainlist out. Only solve 30 please.
Answers
Let's solve
[tex]\\ \rm\Rrightarrow F=\dfrac{9}{5}C+32[/tex]
[tex]\\ \rm\Rrightarrow 65=\dfrac{9}{5}C+32[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{9}{5}C=65-32=33[/tex]
[tex]\\ \rm\Rrightarrow 9C=165[/tex]
[tex]\\ \rm\Rrightarrow C=165/9[/tex]
[tex]\\ \rm\Rrightarrow C\approx 18.34^{\circ}C[/tex]
If a=2 and c=4, evaluate (a+2c)/a-2c
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10 / -6
-1.666
Lastttt Ooonnneeeee!!! Thank you guys so much for all your helpppp!!
Answers
Answer:
[tex]=12\sqrt{15} -40\sqrt{5}\\[/tex]
Step-by-step explanation:
[tex](2\sqrt{10} )(3\sqrt{6} -5\sqrt{8} )=(2\sqrt{10} )(3\sqrt{6} )-(2\sqrt{10} )(5\sqrt{8} )[/tex]
[tex]=6\sqrt{60} -10\sqrt{80}[/tex]
[tex]=6\sqrt{4(15)} -10\sqrt{16(5)}[/tex]
[tex]=6(2)\sqrt{15} -10(4)\sqrt{5}[/tex]
[tex]=12\sqrt{15} -40\sqrt{5}[/tex]
Hope this helps
section 7 test yourself
Answers
what is 66.6% as a fraction
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Answer:
[tex]\frac{333}{500}[/tex]
66% = [tex]\frac{33}{50}[/tex]
In that case, for the tenths place existing as your ones place, you only need to add on one more digit to make the fraction.
Answer:
66.6% as a fraction is 33/50
Step-by-step explanation:
Is there any bias in the following survey question? Explain.
Do you prefer delicious chocolate ice cream or boring vanilla ice cream?
Answers
Answer:
yes this contains bias.
Step-by-step explanation:
the person who wrote the question included their own opinion which makes the question bias
Yes, the survey question that is delicious chocolate ice cream or boring vanilla ice cream bias.
What is bias?Bias in statistics, is a term defines "the tendency of measurement process".
According to the question,
The survey is about, you prefer delicious chocolate ice cream or boring vanilla ice cream.
In order to find is this survey is biased. Yes, the survey is biased .
Because the surveyor insists his/her own opinion in the survey by using the word 'boring' vanilla.
Hence, survey question is bias.
Learn more about bias here
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May I get help on these questions, please?
Answers
a diameter is 2 × the radius
the circumference rule is 2×π×radius
I will solve the first question to show how to format.
1: 5/2=2.5
2×2.5×π=5×π=15.7
The volume of 1000 drops of a liquid is 1 fluid ounce. What is the volume of 10 drops
Answers
Answer:
[tex]0.01\ ounce[/tex]
Step-by-step explanation:
Step 1: Determine the volume of 10 drops
[tex]1\ ounce / 1000\ drops[/tex]
[tex]0.001\ ounce/drop[/tex]
[tex]0.001\ ounce/drop * 10\ drops[/tex]
[tex]0.01\ ounce[/tex]
Answer: [tex]0.01\ ounce[/tex]
Answer:
The volume of 10 drops of a liquid is 0.1 fluid ounce.
Step-by-step explanation:
I hope this will help you
PLEASE HELP
Henry bought snacks for his team's practice. He bought a bag of chips for $2.25 and a 5-pack of juice bottles. The total cost before tax was $9.95. How much was each bottle of juice?
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The bag of chips for $2.25 and a 5-pack of juice bottles each bottle of juice costs $1.54.
Let's break down the information given in the problem:
Henry bought a bag of chips for $2.25.
He also bought a 5-pack of juice bottles.
The total cost before tax was $9.95.
Let's represent the cost of each bottle of juice as "x" dollars.
The total cost of the chips and the juice bottles is given as $9.95. So, we can write the equation:
Cost of chips + Cost of 5 juice bottles = Total cost
$2.25 + 5x = $9.95
Now, we can solve for the value of "x" (the cost of each bottle of juice):
5x = $9.95 - $2.25
5x = $7.70
Dividing both sides by 5:
x = $7.70 / 5
x = $1.54
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Help PLEASE
(explanation included please.)
Answers
Answer:
x = 12.714
Step-by-step explanation:
Vertical angles sum to 180 degrees
8x-12 + 6x + 14 = 180
solve for x = 12.714
the circumference of a circle exceeds the diameter by 60 cm. Find the radius of the circle.
Answers
Answer:
14 cm
Step-by-step explanation:
hope this helps :)
Solve for x
12
(x + 2)/
B
O 14
O 10
12
06
Answers
Answer:
opposite sides of ||gram are equal and parallel therefore
12=x+2
12-2=x
10=x
pls mark as brainliest
A rectangular pool is 10 meters wide and 16 meters long.What is the area of the pool? What is asked?What are given?What is/are the operations to be used?What is the number sentence?What is the answer?
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A=160 m
Solution:The formula for the Area of a rectangle is:A=LWIn the above formula, L stands for the length and W stands for the width.We are given:L=16 mW=10 mWe are asked to find the area of the rectangular pool.The operation that we're going to use here is:Multiplication.Multiply:A=16*10A=160 mHope it helps.
Do comment if you have any query.
- area: 160 m²
What is asked?- Asked to find the area of the rectangular pool.
What are given?- Given with width of the pool is 10 metres and length is 16 metres.
What is/are the operations to be used?- multiplication
What is the number sentence?- 10 * 16
What is the answer?- area: 160 m²
Additional ===========
area of rectangle = Length * WidthQuestion is in the pic below ;)))
Answers
Answer:
the first one
Step-by-step explanation:
1 x -4 = -4
3 x -4 = -12
and so on
pls help me to answer this
Answers
Answers:
Part 1
16. Nominal
17. Nominal
18. Nominal
19. Nominal
20. Nominal
21. Continuous
22. Continuous
23. Continuous
24. Continuous
25. Continuous
Part 2
26. Discrete
27. Continuous
28. Discrete
29. Discrete
30. Ordinal
31. Ordinal
32. Nominal
33. Ordinal
34. Ordinal
35. Nominal
=========================================================
Explanation:
A nominal variable is one where usually a name is attached to it, instead of a number. Something like "mood" is nominal because it takes on the options of "happy", "sad", "angry", etc which are all non-numeric names. We can't do math on them. The same goes for colors, blood type, dog breed, nationality, and month names.
An ordinal variable is one where we can rank the names but we can't exactly do math on them. An example of this would be pain severity (from "no pain" to "in extreme pain") since we can rank and order the pain levels in a natural order. Another example is satisfcation rating, rank in class, and clothing sizes.
A discrete variable is one that takes on finitely many values between two endpoints. Usually (but not always) discrete values are whole numbers. When it comes to counting the number of people or objects, we turn to a discrete variable. With discrete variables, it doesn't make sense to have a midpoint between say 1 and 2 because we cannot have 1.5 of a person.
A continouous variable is one where we can pick any real number in a given interval. Midpoints make sense here now because we can select the midpoint of say 1 and 2 to get 1.5; an example of a continuous variable is someone's height, wind speed, water temperature, or the voltage of electricity.
A dart hits the circular dartboard shown below at a random point. Find the probability that the dart lands in the shaded circular region. The radius of the dartboard is 13in, and the radius of the shaded region is 4in.
Use the value 3.14 for π. Round your answer to the nearest hundredth.
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Answer:
The first thing you need to do is:you have a square whose area is 11^2 = 121 square inches.then we are going to multiply the radius to the PI which is 3.14 the area of the circle with radius 4 is equal to 3.14 * 4^2 = 3.14 * 16 = 50.24you need to divide the calculated radius times pi (3.14) you can get the answer and you need to round your answer to the nearest hundredththe probability that the dart will hit within the circle is equal to 50.24 / 121 = 0.4152066116 which is rounded to .04152 or 41.52%this assumes the dart will always hit the square at least.
Step-by-step explanation:
For each diagram below, write and solve an equation for x .
Answers
Answer:
x = 100 , x = 3
Step-by-step explanation:
(a)
the sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
here n = 5 , then
sum = 180° × 3 = 540°
sum the angles and equate to 540
x + x + 125 + 125 + 90 = 540 , that is
2x + 340 = 540 ( subtract 340 from both sides )
2x = 200 ( divide both sides by 2 )
x = 100
(b)
the 2 given angles are alternate exterior angles and are congruent , then
6x + 18 = 2x + 30 ( subtract 2x from both sides )
4x + 18 = 30 ( subtract 18 from both sides )
4x = 12 ( divide both sides by 4 )
x = 3
Pls help !!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
D. Rhombus.
Step-by-step explanation:
This will be a quadrilateral with 4 equal sides.
The oppsoite angles will be equal but they will not be 90 degrees as each triangle of the 3 dimensional figure is an equilateral triangle.
Therfore the cross section is a rhombus.
Please Help and explain
Im not to sure how to do this
Answers
Answer:
I think the answer is C
Step-by-step explanation:
The times of the runners in a marathon are normally distributed, with a mean of 3 hours and 50 minutes and a standard deviation of 30 minutes. what is the probability that a randomly selected runner has a time less than or equal to 3 hours and 20 minutes? use the portion of the standard normal table below to help answer the question.
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The probability that a randomly selected runner has a time less than or equal to 3 hours and 20 minutes is 0.16 or 16%.
Normally distributed data is the distribution of probability which is symmetric about the mean.
The mean of the data is the average value of the given data.
The standard deviation of the data is the half of the difference of the highest value and mean of the data set.
The times of the runners in a marathon are normally distributed, with
Mean of 3 hours and 50 minutes Standard deviation of 30 minutes.Refere the probabiliity table attached below. The probability of Z being inside the 1 Standard daviation of mean is 0.84.
The probability of runner selected with time less than or equal to 3 hours and 20 minutes,
[tex]P=1-0.84\\P=0.16[/tex]
Thus, the probability that a randomly selected runner has a time less than or equal to 3 hours and 20 minutes is 0.16 or 16%.
Learn more about the normally distributed data here;
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Solve for z.
X=3y+3z
Answers
Answer: Option 2
Step-by-step explanation:
The function g(x) = (3-2). The function f(x) = g() +3.
The function f() is shifted horizontally
2 units to the left of g(3).
The function f() is shifted vertically
Answers
Answer:
Step-by-step explanation:
The answer
g(3)=3−23⋅(3)=3−2=1
Explanation:
show that
g(x)=3−23x
for g(3)g(3)=3−23⋅(3)=3−2=1
each row in the table below shows one possible set of angle measurements for this drawing
find the missing angle measurements
Answers
Applying the definitions of angles on a straight line and vertical angles, the missing angle measurementts are given in the table atached below.
What are Angles on a Straight Line?Angles found on a straight line equals 180 degrees.
What area Vertcial Angles?Vertical angles are congruent angles that lie directly opposite each other.
Second Row:
m∠LGK = 45° (given in the diagram)
m∠IGH = 35° (given in the table)
m∠KGJ = m∠IGH (vertical angles)
m∠KGJ = 35°
m∠JGI = 180 - m∠KGJ (angles on a straight line)
m∠JGI = 180 - 35 = 145°
m∠HGL = 180 - m∠LGK - m∠IGH (angles on a straight line)
m∠HGL = 180 - 45 - 35 = 100°
Third Row:
m∠LGK = 45° (given in the diagram)
m∠HGL = 97° (given in the table)
m∠KGJ = 180 - m∠HGL - m∠LGK (angles on a straight line)
m∠KGL= 180 - 97 - 45 = 38°
m∠JGI = 180 - m∠KGJ (angles on a straight line)
m∠JGI = 180 - 38 = 142°
m∠IGH = m∠KGL (vertical angles)
m∠IGH = 38°
Thus, applying the definitions of angles on a straight line and vertical angles, the missing angle measurementts are given in the table atached below.
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A function, f(x), has a domain of --10 ≤ 2 < 20 and range -40 < f(I) < -10.
f(1)=-13
f (-10) =-40
Select each statement that must be false about f(x).
1. f(0)= 0
2. f(1) = 13
3. f(-15) =- 20
4. f(-9) = 88
5. f(5)- 40
Answers
By using the given domain and range, we will see that the false statements are:
1. f(0)= 02. f(1) = 133. f(-15) =- 204. f(-9) = 88Which statement is false?
What we know about the function f(x) is:
The domain is: -10 ≤ x ≤ 20
The range is: -40 ≤ f(x) ≤ -10
Which statements are false:
1) f(0)= 0
This is false, because the maximum value of the range is -10, so f(0) can't be equal to zero.
2. f(1) = 13
Same reasoning than above, 13 is outside of the range.
3. f(-15) =- 20
The smallest value on the domain (possible inputs) is -10, so the input -15 is not in the domain.
4) f(-9) = 88
88 is outside the range of the function, so this is false.
If you want to learn more about functions, you can read:
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